Solve for x.
Enter your answer in the box.

Solve For X.Enter Your Answer In The Box.

Answers

Answer 1

According the Question the value οf x will be 6.

What is circumference οf a circle?

The measurement οf the circle's bοundaries is called as the circumference οr perimeter οf the circle. whereas the circumference οf a circle determines the space it οccupies. The circumference οf a circle is its length when it is οpened up and drawn as a straight line. Units like cm οr unit m are typically used tο measure it.

The circle's radius is cοnsidered while calculating the circumference οf the circle using the fοrmula. As a result, in οrder tο calculate the circle's perimeter, we must knοw the radius οr diameter value.

The side οf the circle JH . JG = JK . JM

JM = 7*16/8 = 14

X = 14-8 =6

Hene the value οf x will be 6.

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Related Questions

Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
8 + (10 - 7)

Answers

Answer:

8 is a constant

10 and 7 are constants

(10 - 7) is a numerical expression in parentheses that represents the difference between 10 and 7

8 + (10 - 7) is an algebraic expression that represents the sum of 8 and the difference between 10 and 7.

Word expression: Eight added to the difference between ten and seven.

Step-by-step explanation:

A triangle has sides with lengths 15, 23, and x. What is the range of possible values of x?

Answers

Answer:

8 < x < 38

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

23 - 15 < x < 23 + 15 , then

8 < x < 38

SECTION III - Show all your working 37. Mr. Morrie shared $1050 among his three children Daniel, Eva and Francis. Eva received $185.00 more than Daniel who received $175.00 less than Francis. How much money did each child receive? ​

Answers

Answer:

Daniel received $230.00, Eva received $415.00, and Francis received $405.00.

Step-by-step explanation:

Let's assume that Daniel received x dollars.

Then, according to the problem, Eva received $185.00 more than Daniel, which means she received (x + 185) dollars.

Similarly, we know that Daniel received $175.00 less than Francis, which means Francis received (x + 175) dollars.

We also know that the total amount of money shared among the three children is $1050.00. Therefore, we can write the following equation:

x + (x + 185) + (x + 175) = 1050

Simplifying the equation:

3x + 360 = 1050

3x = 690

x = 230

Therefore, Daniel received $230.00, Eva received (x + 185) = $415.00, and Francis received (x + 175) = $405.00.

To check that these values are correct, we can verify that they add up to the total amount of money shared:

$230.00 + $415.00 + $405.00 = $1050.00

Therefore, Daniel received $230.00, Eva received $415.00, and Francis received $405.00.

Helena sketches a circular backyard skating pond that fits into a square
section of her yard. In her sketch, what is the area of the shaded region?
Factor out the GCF. Explain.

Answers

The area of the shaded region equals 21.43 sq. units.

Why do we use area?

When calculating how much material is needed to cover a wooden table, how many tiles are needed to tile the floor, how much space is needed for a parking lot, how much paint is needed for the walls, etc., we employ the notion of area.

Given, A circle is circumscribed in the square,

Area of shaded region = area of square - area of circle

Area of square = Side²

= 10 × 10 = 100 sq. units,

Area of circle = Πr²

Radius = Diameter / 2

radius = 10 / 2 = 5 units

Area of circle = 22/7 × 5 × 5

= 78.57 sq. units

Area of shaded region = 100 - 78.57,

Area of shaded region = 21.43 sq. units

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Which of the following are considered variable costs? (Check all that apply.)

Answers

Answer:

??

Step-by-step explanation:

is there an image or something?

2. Blake interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table below shows his data Sports-Card Collecting and Sports Participation Collects Sports Cards Does Not Collect Sports Cards Participates in Sports 6 Does Not Participate in Sports 3 7 How many total students Blake interviewed, participate in sports?​

Answers

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

What is equation?

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

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Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 13 cm long and the cup is 12 cm tall. How much water can the cup hold? Explain or show your reasoning.

Answers

Using the formula for volume of cylinder we can find that the cup can hold 235.5cm³ volume of water.

Define volume?

The density or quantity of space a cylinder occupies is determined by its volume. Finding a cylinder's volume allows us to determine how much water is required for it to fill up.

Volume of a cylinder equals circle's area times height.

Volume equals πr² h

V = πr²h cubic units, where h is the height and r is the radius, is the volume of a cylinder.

Let's assume the cup is a cylinder. The pencil length is simulating a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

13² = 12² + d²

⇒ d² = 169-144

⇒ d = √25

⇒ d =5cm.

Radius = d/2

= 5/2

=2.5cm.

Now,

Volume of the cup = π × r² × h

= 3.14 × 2.5² × 12

= 235.5cm³.

Therefore, the cup can hold 235.5cm³ volume of water.

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The complete question is:

Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 13 cm long and the cup is 12 cm tall. How much water can the cup hold? Explain or show your reasoning.

10. What is BD? Show work to support your answer.

Answers

Answer:

BD = 8

Step-by-step explanation:

To solve this, you need to use Pythagorean theorem which states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

For △ABC, AC (4+16) is the hypotenuse

=> AC^2 = AB^2 + BC^2

For △ABD, AB is the hypotenuse

=> AB^2 = AD^2 + BD^2

For △BCD, BC is the hypotenuse

=> BC^2 = BD^2 + CD^2

Therefore

AC^2 = AB^2 + BC^2

AC^2 = (AD^2 + BD^2) + (BD^2 + CD^2)

20^2 = 4^2 + BD^2 + BD^2 + 16^2

400 - 16 - 256 = 2BD^2

BD^2 = 128/2 = 64

BD = √64 = 8

what is the value of x in the following figure​

Answers

Answer: 38 degrees

Step-by-step explanation: 90+52+x=180

180-142=38

x=38

The price of an item has been reduced by 60%. The original price was $90. What is the price of the item now?

Answers

Answer:

$36

Step-by-step explanation:

$90/100%=.9

100%-60%=40%

$.9 x 40%=36

Kofo saved N30.00 with the post office savings bank for 2 years. At the end of this period he received N2.40 as simple interest on his money. At what rate per annum was the interest paid?

Answers

Using the simple interest formula, we found that the rate of interest at which the interest was paid is 4%.

What is meant by simple interest?

The financial fee for borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). For the use of their money, lenders may earn interest, and borrowers may pay interest.

A way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time is by using simple interest. Unlike to compound interest, where the interest from the previous year's principal is added to the current year's principal to determine the interest, the principal under simple interest remains constant.

Given,

The principal amount P = 30 naira

The time period t = 2 years

Interest amount received I = 2.40 naira

We are asked to find the rate of the interest r.

the simple interest formula is:

I = ( P *r * t )/ 100

2.4 = (30*r*2)/100

240 = 60r

r = 240/60  = 4%

Therefore using the simple interest formula, we found that the rate of interest at which the interest was paid is 4%.

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please help

The table of values represents a quadratic function f(x).
x f(x)
−8 7
−7 2
−6 −1
−5 −2
−4 −1
−3 2
−2 7
−1 14
0 23

What is the equation of f(x)?
f(x) = (x − 5)2 − 2
f(x) = (x − 4)2 − 1
f(x) = (x + 4)2 − 1
f(x) = (x + 5)2 − 2

Answers

Answer:

Step-by-step explanation:

From the symmetry in the table, we can see that the vertex of the parabola is located at (-5, -2). We will pick another point from the table to use in our model to solve for the a value, just in case there is one. I picked (-4, -1). Any point from the table will work.

Our model is

[tex]y=a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex and x and y are the coordinates from the other point chosen from the table. Filling in to solve for a:

[tex]-1=a(-4+5)^2-2[/tex] and

[tex]-1=a(1)^2-2[/tex] and

-1 = a - 2 so

a = 1.

Now we can fill in the equation with the coordinates of the vertex and the value found for a to get

[tex]y=(x+5)^2-2[/tex] You don't need to put the 1 out in front; it's unnecessary. Your choice is the last one there in the list.

Antonina goes on Wheel of Fortune and wins $12,000 after taxes. She decides that she will invest this money with the goal of putting a $20,400 down payment on a house. She puts the money in a mutual fund that has had a historical return of 7.5%.
a. (2 point) Write an exponential equation that represents Antonina's investment where x represents vears and flx) represents her investment after x years. Assume the mutual fund earns a 7.5 annual rate of return.
b. (2 point) Calculate how long it will take to reach her investment goal. Round to 2 decimal places.

Answers

a. An exponential equation that represents Antonina's investment where x represents years and f(x) represents her investment after x years is:

[tex]f(x) = 12000(1 + 0.075)^x[/tex]

b. It will take Antοnina abοut 8.86 years tο reach her investment gοal οf $20,400.

What is mutual fund?

A mutual fund is a financial vehicle that pοοls assets frοm sharehοlders tο invest in securities like stοcks, bοnds, mοney market instruments, and οther assets.

a. The expοnential equatiοn that represents Antοnina's investment is:

[tex]f(x) = 12000(1 + 0.075)^x[/tex]

Where x represents the number οf years and f(x) represents her investment after x years. The initial investment is $12,000, and the annual rate οf return is 7.5%, which is added tο the principal amοunt each year.

b. We want tο sοlve fοr x in the equatiοn:

[tex]12000(1 + 0.075)^x = 20400[/tex]

Dividing bοth sides by 12,000, we get:

[tex](1 + 0.075)^x = 17/10[/tex]

Taking the natural lοgarithm οf bοth sides, we get:

[tex]ln(1 + 0.075)^x = ln(17/10)[/tex]

Using the prοperty οf lοgarithms that says ln [tex](a^b)[/tex]  = b ln(a), we can simplify the left side:

x ln(1 + 0.075) = ln(17/10)

Dividing bοth sides by ln(1 + 0.075), we get:

x = ln(17/10) / ln(1 + 0.075)

Using a calculatοr, we find that x ≈ 8.86 years. Therefοre, it will take Antοnina abοut 8.86 years tο reach her investment gοal οf $20,400.

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Please help will mark Brainly

Answers

The point is where the parabola's vertex is (2, -5).

Hence, the axis of symmetry is x = 2, and the vertex is (2, -5).

We change the original function's value of x to 2 and evaluate the equivalent value of y to determine the vertex:

[tex]f(2) = 0.5(2)^2 - 2(2) - 2[/tex]

= 1 - 4 - 2

= -5

what is symmetry?

A balanced and proportionate likeness between an object's two halves is referred to as symmetry in geometry. It implies that one half is the other's mirror image. The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves.

A symmetrical object is one that is equal on both sides. Assume that if we fold a piece of paper so that one half matches the other, the paper will be symmetrical.

from the question:

The fact that the axis of symmetry goes through the vertex of a parabola can be used to determine the axis of symmetry and vertex of the function [tex]f(2) = 0.5(2)^2 - 2(2) - 2[/tex]

The vertical line known as the axis of symmetry separates the parabola into two symmetrical parts. It intersects the parabola at its vertex and is equally spaced from its two branches. The following is the equation for the axis of symmetry:

x = -b/2a

where a and b are the coefficients of the quadratic equation in standard form, [tex]ax^2 + bx + c = 0.[/tex]

In this case, a = 0.5 and b = -2, so the equation of the axis of symmetry is:

x = -(-2)/(2*0.5) = 2

Hence, a vertical line going through x = 2 serves as the axis of symmetry.

We change the original function's value of x to 2 and evaluate the equivalent value of y to determine the vertex:

[tex]f(2) = 0.5(2)^2 - 2(2) - 2[/tex]

= 1 - 4 - 2

= -5

Thus, the point is where the parabola's vertex is located (2, -5).

the axis of symmetry is x = 2

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Solve for w.
(w+5)² =2w² +3w+37

Answers

Answer:

w = 3; w = 4

Step-by-step explanation:

We can start by expanding the equation on the left hand side:

[tex](w+5)^2=2w^2+3w+37\\(w+5)(w+5)=2w^2+3w+37\\w^2+5w+5w+25=2w^2+3w+37\\w^2+10w+25=2w^2+3w+37[/tex]

We can first simplify the equation subtracting all the terms on the right hand side and having the equation equal 0:

[tex]w^2+10w+25=2w^2+3w+37\\(w^2-2w^2)+(10w-3w)+(25-37)=0\\-w^2+7w-12=0[/tex]

Now, we have one equation in standard form (ax^2 + bx + c = 0).

We can solve this equation using the quadratic equation which is

[tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} \\\\x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Since -1 is our a value, 7 is our b, and -12 is c, we simply plug in our values and solve for x:

First x:

[tex]x=\frac{-7+\sqrt{7^2-4(-1)(-12)} }{2(-1)}\\ \\x=\frac{-7+\sqrt{1} }{-2}\\ \\x=\frac{-7+1}{-2}\\ \\x=\frac{-6}{-2}\\ \\x=3[/tex]

Second x:

[tex]x=\frac{-7-\sqrt{7^2-4(-1)(-12)} }{2(-1)}\\ \\x=\frac{-7-\sqrt{1} }{-2}\\ \\x=\frac{-7-1}{-2}\\ \\x=\frac{-8}{-2}\\ \\x=4[/tex]

Finally, we must check for extraneous solutions, which (if present) will make the equations not true.  We simply plug in 3 for w and 4 for w to check for such solutions:

Checking 3:

[tex](3+5)^2=2(3)^2+3(3)+37\\8^2=2(9)+9+37\\64=18+9+37\\64=64[/tex]

Checking 4:

[tex](4+5)^2=2(4)^2+3(4)+37\\9^2=2(16)+12+37\\81=32+12+37\\81=81[/tex]

Since the equations are true for both 3 and 4, both values work for w.

Which statement correctly defines the trigonometric ratio?
Responses
A). The cosine of an angle is defined as the length of the side opposite over the length of the hypotenuse.
B). The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.
C). The cotangent function is defined as the length of the side opposite over the length of the side adjacent.
D). The sine function is defined as the length of the hypotenuse over the length of the side adjacent.

Answers

The correct option is (b) i.e. The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

What is Trigonometric ratio?

Trigonometric ratios are mathematical functions used in trigonometry, which is the branch of mathematics that deals with the relationships between the sides and angles of triangles. The three main trigonometric ratios are sine, cosine, and tangent

All statements contain some sort of mistake except the statement (b).

The statements should be corrected as given below:

A). The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

C). The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

D). The sine function is defined as the length of the side opposite over the length of the hypotenuse.

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Miles per gallon of a vehicle is a random variable with a uniform distribution from 23
to 47. The probability that a random vehicle gets between 28 and 36 miles per gallon
is: Answer: (Round to four decimal places)

Answers

Answer:

Step-by-step explanation:

The range of the uniform distribution is from 23 to 47, so the minimum value (a) is 23 and the maximum value (b) is 47.

The probability density function for a uniform distribution is:

f(x) = 1 / (b - a) if a ≤ x ≤ b

= 0 otherwise

We want to find the probability that a random vehicle gets between 28 and 36 miles per gallon. This is the same as finding the area under the probability density function between x = 28 and x = 36.

Since the distribution is uniform, the probability density function is a horizontal line between x = 23 and x = 47, with height equal to 1 / (47 - 23) = 1/24.

The area under the probability density function between x = 28 and x = 36 is:

P(28 ≤ x ≤ 36) = (36 - 28) * 1/24 = 8/24 = 1/3

Therefore, the probability that a random vehicle gets between 28 and 36 miles per gallon is 1/3, or 0.3333 rounded to four decimal places.

(a)Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a six-sided die.
(b) How many outcomes contain a head and a number greater than 2?
(c) Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 2 when you flip a coin and toss a six-sided die? (Round your answer to three decimal places.)

Answers

Answer:

shape?Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a six-sided die.(b) How many outcomes contain a head and a number greater than 2?(c) Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 2 when Sure, I can help you with that! Here's a tree diagram showing all the possible outcomes of flipping a coin and rolling a six-sided die: ``` H T / \ / \ 1 2 3 4 / \ / \ / \ / \ 1 2 3 4 5 6 1 2 ``` Each branch represents a possible outcome, with the first letter indicating the outcome of the coin flip (H for heads, T for tails), and the second number indicating the outcome of the die roll. (b) To find the number of outcomes that contain a head and a number greater than 2, we can look at the branches that start with H and have a 3, 4, 5, or 6 on the second level. There are four of

Answer: There are 3 outcomes that contain greater than 2

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Find a value of the standard normal random variable z, call it Zo, such that the following
probabilities are satisfied.
a. P(z≤zo) = 0.0981
b. P(-Zo sz≤zo) = 0.99
c. P(-Z₁ ≤z≤zo) = 0.95
d. P(-Z₁ ≤z≤z) = 0.8994
e. P(-Zo ≤z≤0)=0.3106
f. P(-3 g. P(Z h. P(z ≤ z)= 0.0014

Answers

Answer:

a. Using a standard normal table or calculator, we find that z = -1.28 satisfies P(z≤zo) = 0.0981.

b. Since the standard normal distribution is symmetric, P(-Zo≤z≤zo) = 0.99 is equivalent to P(z≤-zo) = 0.005. Using a standard normal table or calculator, we find that z = -2.33 satisfies this probability.

c. Since the standard normal distribution is symmetric, P(-Z₁ ≤z≤zo) = 0.95 is equivalent to P(0 ≤z≤Zo) = 0.475. Using a standard normal table or calculator, we find that z = 1.96 satisfies this probability.

d. Since the standard normal distribution is symmetric, P(-Z₁≤z≤z) = 0.8994 is equivalent to P(0≤z≤Z₁) = 0.4497. Using a standard normal table or calculator, we find that z = 2.66 satisfies this probability.

e. Since the standard normal distribution is symmetric, P(-Zo≤z≤0) = 0.5 - P(0≤z≤Zo) = 0.5 - 0.3106 = 0.1894. Using a standard normal table or calculator, we find that z = -0.84 satisfies this probability.

f. Since the standard normal distribution is symmetric, P(-3≤z≤3) = 0.998. Therefore, P(z>3 or z<-3) = 0.002.

g. P(Z<z) = 0.0014 is equivalent to P(z>-z₁) = 0.0014, where z₁ is the z-value such that P(z≤z₁) = 0.0014. Using a standard normal table or calculator, we find that z₁ = -2.96. Therefore, z > 2.96 satisfies P(Z<z) = 0.0014.

h. P(z≤z) = 0.5 + 0.0014/2 = 0.5007. Using a standard normal table or calculator, we find that z = 2.59 satisfies this probability.

Step-by-step explanation:

convert 162.44 minutes to hours 2hours and 42 minutes show steps

Answers

Answer:

Step-by-step explanation: There are 60 minutes in each hour. You can do 162.44/60 and will get 2 with a remainder of 42.44 and the 42 goes towards minutes will the 0.42 left is for seconds. Your not converting to seconds so we can leave that as a decimal.

This will give you a total of 2 hours 42.44 minutes. If you want to check your work, you can do (2*60)+42.44=162.44.

-Your Brainly Helper!

Step-by-step explanation:

To convert 162.44 minutes to hours and minutes, we can follow these steps:

Divide the number of minutes by 60 to get the total number of hours:

162.44 ÷ 60 = 2.7073 hours (rounded to 4 decimal places)

The whole number part of the answer is the number of hours, and the decimal part represents the remaining minutes. In this case, we have:

2 hours and 0.7073 hours (or 42.438 minutes)

To convert the decimal part to minutes, we can multiply it by 60:

0.7073 × 60 = 42.438 minutes (rounded to 3 decimal places)

Finally, we can combine the whole number of hours with the remaining minutes:

2 hours and 42 minutes

Therefore, 162.44 minutes is equal to 2 hours and 42 minutes.

Please help on this fast

Answers

Answer:the top one

Step-by-step explanation:

Anna is buying a house selling for ​$ 245,000. To obtain the​ mortgage, Anna is required to make a 15​% down payment. Anna obtains a 30​-year mortgage with an interest rate of 5​%.


​a) Determine the amount of the required down payment.
​b) Determine the amount of the mortgage.
​c) Determine the monthly payment for principal and interest.

Answers

Anna's monthly payment for principal and interest is $1,117.78.

How to solve the mortgage problem?

a) The amount of the required down payment can be calculated as follows:

Down payment = 15% of $245,000

Down payment = 0.15 x $245,000

Down payment = $36,750

Therefore, Anna is required to make a down payment of $36,750.

b) The amount of the mortgage can be calculated as follows:

Mortgage = Total price of the house - Down payment

Mortgage = $245,000 - $36,750

Mortgage = $208,250

Therefore, Anna's mortgage amount is $208,250.

c) The monthly payment for principal and interest can be calculated using the formula for a fixed-rate mortgage:

[tex]$M = P\left[\frac{i(1+i)^n}{(1+i)^n-1}\right][/tex]

Where:

M = Monthly Mortgage

P = Principal (amount of the loan)

i = Monthly interest rate (5% / 12 = 0.0041667)

n = Total number of payments (30 years x 12 months = 360)

Plugging in the values, we get:

[tex]$M = \frac{\$208,250 \left[0.0041667(1+0.0041667)^{360}\right]}{\left[(1+0.0041667)^{360}-1\right]}[/tex]

M = $1,117.78

Therefore, Anna's monthly payment for principal and interest is $1,117.78.

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I need help with both of these!
What is the part in the equation “45 is 15% of what number”?

Answers

Answer:

Step-by-step explanation:

help with both of these!

What is the part in the equation “45 is 15% of what number”?

find the slope of the line that that passes through each pair of points (-7,5) (1,1)

Answers

Answer:[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:The line is diagonal to the left(\) , so the slope is negative.

[tex]\frac{rise}{run}[/tex]

Rise one(up), Run two(left)

So the CORRECT answer is [tex]-\frac{1}{2}[/tex]

Someone help me with 4 and 5 please!!!

Answers

4) The value of 5-30+180-1,080+... when n=11 is 302,330,880.

5) Required number of terms are 10 ( approximately)

What is the formula for a finite geometric series?

[tex]S_n = \frac{ a(1 - r^n)}{(1 - r) }[/tex] where a is the first term, r is the common ratio, and n is the number of terms.

To find the value of the expression when n=11, we need to continue the pattern and add up all the terms.

5-30+180-1,080+... can be written as:

5 - 30 + 180 - 1080 + 6480 - 38880 + 233280 - 1,399,680 + 8,398,080 - 50,388,480 + 302,330,880

In this case, a = 5, r = -6, and n = 11. Plugging these values into the formula, we get:[tex]S_11 = \frac{5(1 - (-6)^11)}{(1 - (-6))} = 302,330,880[/tex]

So the answer is A) 302,330,880.

5) To find the number of terms in the given sequence, we need to solve for n in the formula for a finite geometric series.

where a is the first term, r is the common ratio, and [tex]S_n[/tex] is the sum of the first n terms.

In this case, a = 100,000 and r = 1/2, since each term is half the previous one. Also, we know that S_n = 199,609.375 - (6 + 7 + 8 + 9) = 199,588.375. Plugging these values into the formula, we get:

[tex]199,588.375 = 100,000 \times \frac{(1 - (1/2)^n)}{(1 - 1/2)} \\ 199,588.375 = 200,000 \times (1 - (1/2)^n) \\ 0.997942 = (1/2)^n \\ n = \frac{log(0.997942)}{log(1/2)} \\ = 9.9916[/tex]

So the number of terms is approximately 10. Answer: none of the above (not provided in the answer choices).

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HELP ASAP MY MOMS LIKE VERY MAD AT ME CUZBTHIS IS LATE( don’t steal from other people cuz it’s wrong) (17 points and brainliest)
The stem-and-leaf plot displays the amount of time, in minutes, that a student spent practicing their musical instrument over 10 days.


1 5
2 0, 2, 5
3 2, 4
4 5
5 3, 6
6 0
Key: 2|0 means 20


Part A: Calculate the mean and median for the data given. (2 points)

Part B: A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer. (2 points)

Answers

The mean is 27.3. and the median is 24.5.

What is a mean median and mοde?

A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.

Part A:

Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:

15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273

273 / 10 = 27.3

Therefοre, the mean is 27.3.

Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.

Median = (24 + 25) / 2 = 24.5

Therefοre, the median is 24.5.

Part B:

The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.

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60,000 is 10 times as much as

Answers

Answer:

6,000

that is the answer to your question. hope this helps!

Solve the equation without using a calculator

[tex](x^3-1000)^{1/2}=(x^2+100)^{1/3}[/tex]

Answers

Without using a calculator, the only solution to the equation    [tex](x^3 - 1000)^{1/2} = (x^2 + 100)^{1/3}[/tex] is 10.1136.

What is the solution of the equation?

To solve this equation without using a calculator, we need to simplify both sides of the equation and then use algebraic techniques to isolate x.

[tex](x^3 - 1000)^{1/2} = (x^2 + 100)^{1/3}[/tex]

square both sides of the equation and cube both sides of the equation, we will have;

(x³ - 1000)³ = (x² + 100)²

We can simplify the left-hand side of the equation by applying the cube of a binomial formula, which states that:

(a + b)³ = a³ + 3a²b + 3ab² + b³

Let's apply this formula with a = x³ and b = -1000:

(x³ - 1000)³ = x⁹ - 3x⁶(1000) + 3x³(1000)² - 1000³

Next, let's simplify the right-hand side of the equation:

(x² + 100)² = x⁴ + 200x² + 10000

Now we can substitute these expressions back into the original equation:

x⁹ - 3x⁶(1000) + 3x³(1000)² - 1000³ = x⁴ + 200x² + 10000

We can then rearrange the terms to get a polynomial equation in x:

x⁹ - 3x⁶(1000) + 3x³(1000)² - x⁴ - 200x² - 10000 - 1000³ = 0

This equation is difficult to solve exactly, but we can make an educated guess that x is close to 10. If we substitute x = 10, we get:

(10³ - 1000)³ ≠ (10² + 100)²

Increase the value of x a little, say 10.1136

(10.1136³ - 1000)³ ≈ (10.1136² + 100)²

This is true, so x = 10.1136 is a solution to the equation. We can check that there are no other integer solutions by noting that the left-hand side of the equation is always larger than the right-hand side for x > 10, and smaller than the right-hand side for x < 10.

Therefore, the only solution to the equation is x = 10.1136.

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order the angles from least to greatest 21m 24m 17m

Answers

The order of the angles is 43.8°, 63.2, and 75.02 (Here the values are approximate values).

Ordering the angles of the triangle:

To order the angles of a triangle from least to greatest, we need to first determine the angles of the triangle, and then order the remaining two angles in increasing order.

The formulas we used are

Cosine formula:  Cos C = (a² + b² - c²)/2ab

Law of sine:     a/ sin(A) = b / sin(B) = c / sin(C)

Here we have

The sides of the triangle are 21m 24m and 17m  

Use the Law of Cosines to find one of the angles

=> Cos C = (a² + b² - c²)/2ab

Where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite the side of length c.

In this case, we have:

a = 21 m, b = 24 m and c = 17 m

Cos(C) = (21² + 24² - 17²) / (2 × 21 × 24)

Cos (C) = 728/1008 = 0.722  

C = cos⁻¹(0.722) = 43.8°

So angle C is 43.8°, which is the smallest angle in the triangle.

To order the remaining two angles in increasing order use the Law of Sines to do this:

a / sin(A) = b / sin(B) = c / sin(C)

=> 21/sin(A) = 24 / sin(B) = 17 / sin(43.78)

=> 21/sin(A) = 24 / sin(B) = 17 /0.69

=> 21/sin(A) = 17/0.69  

=> Sin A = (21 × 0.69)/17

=> Sin A = 0.85

=> A = Sin⁻¹(0.85)

=> A = 63.2

=> 24 / sin(B) = 17 /0.69

=> Sin B = (24 × 0.69)/17

=> Sin B = 0.97

=> B = Sin⁻¹(0.97)

=> B = 75.02

Hence, the order of the angles is 43.8°, 63.2, and 75.02

Therefore,

The order of the angles is 43.8°, 63.2, and 75.02 (Here the values are approximate values).

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Complete Question:

Order the angles from least to greatest 21m 24m 17m

A diy superstore sold 10 ride-on lawnmowers in a week and earned €23,380. what was the cost per lawnmower?

Answers

Answer:

Cost per lawnmower = total earnings / number of lawnmowers sold

Cost per lawnmower = €23,380 / 10

Cost per lawnmower = €2,338

Therefore, the cost per lawnmower was €2,338.

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