Answer:
[tex](x+4)^2+(y-4)^2=9[/tex]
Step-by-step explanation:
From the graph, we need to identify two things: the center of the circle and the radius of the circle.
From this graph, we find that the center of the circle is at (-4,4) and the radius of the circle is 3.
Recall that the format for the equation of a circle is [tex](x-x_1)^2+(y-y_1)^2=r^2[/tex]
Now, we can put our know information into this equation and simplify to get our answer
[tex](x-(-4))^2+(y-4)^2=3^2\\\\(x+4)^2+(y-4)^2=9[/tex]
2. Tomás compró una bicicleta en $199.900. Primero, canceló la mitad y el resto en 7 cuotas de igual valor, con un interés total de $4000. ¿Cuánto es el valor de cada cuota?
Answer:
Cada cuota tendrá un valor de $14,850.
Step-by-step explanation:
Dado que Tomás canceló la mitad del valor de la bicicleta, la cual costaba $199.900, el valor pagado al inicio fue de $99,950 (199,900 / 2).
Luego, para el valor restante, Tomás suscribió a una financiación con un interés de $4,000, elevando el monto a pagar a $103,950, pagaderos en 7 cuotas. Por lo tanto, dichas cuotas tendrán cada una un valor de $14,850 (103,950 / 7).
Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake. The next day he catches 10 fish of which four are marked. Estimate the number of fish in the lake.
Answer:
50
Step-by-step explanation:
The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.
Blue ribbon taxis offers shuttle service to the nearest airport. You loop up online reviews for blue ribbon taxis and find that there are 17 reviews, six of which report that the taxi never showed up.
Is this a biased sampling method for obtaining customer opinion on the taxi service?
If so, what is the likely direction of bias?
explain your reasoning carefully.
Answer:
In order for a sample to be considered biased, some members of the total population must have either a larger or lower chance of being included in the sample. In this case, your sample contained 17 reviews. It is biased because it was completely voluntary and customers who have a bad experience with a product or service generally tend to express more their dissatisfaction than satisfied customers show their satisfaction.
In marketing, there is a saying that unsatisfied clients talk bad about our product or service 4 times more than satisfied clients. I'm not sure if this saying is exact or not, but all marketing research point in the same direction.
This means that clients that did not get a good service or got no service at all, are more likely to post a review about the company than clients who got a good service. This is what makes the sample biased.
A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram?
Answer:
1800 [tex]m^{2}[/tex] is the area of parallelogram.
Step-by-step explanation:
Given that:
Area of a triangle = 900 [tex]m^{2}[/tex]
To find:
Area of a parallelogram which has same height and base as that of the given triangle.
Solution:
First of all, let us have a look at the formula for Area of a parallelogram:
[tex]Area_{Par} = Base \times Height[/tex] ...... (1)
So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.
Now, let us have a look at the formula for area of a triangle:
[tex]Area_{Tri} = \dfrac{1}{2} \times Base \times Height[/tex]
Given that height and base of triangle and parallelogram are equal to each other.
So,the product of base and height will also be equal to each other.
[tex]900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2[/tex]
By equation (1):
Area of parallelogram = 1800 [tex]m^{2}[/tex]
Classify the triangle with angles measuring 1130, 47°, and 20°.
A. Straight
B. Right
C. Acute
D. Obtuse
Answer:
D. Obtuse
Step-by-step explanation:
Answer:
You typed that incorrectly. That first angle should be 113 degrees.
It would be an obtuse triangle.
Step-by-step explanation:
Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and y are related by the equation =y+115025x. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
Answer:
Change in the cost of each book printed = $25
Cost to get started = $1150
Step-by-step explanation:
Equation representing the relation between number of copies of the books (x) and total cost of publishing a book (y) is,
y = 1150 + 25x
This equation is in the form of a linear equation,
y = mx + b
Where m represents the change in cost of printing each book and y-intercept of the line 'b' represents the cost before any book is printed.
By comparing these equations,
m = 25
Therefore, change in the cost of each book printed = $25
b = 1150
Which represents the cost to get started = $1150
on a map 1 inch represents 4 miles how many miles are represented by 3-1/2 ?
Answer:
10 miles
Step-by-step explanation:
1 inch = 4 miles
3 - 0.5 = 2.5
2.5 * 4 = 10 miles
Please answer this correctly without making mistakes
Answer:
B)Gift shop
pls mark me as BRAINLIEST
hope the answer helped you
given that H0: μ=40 against H1: μ < 40 if mice have an average life of 38 months with a standard deviation of 5.8 months. If the distribution of life spans is approximately normal, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that level of significance 0.05.
Answer: sample required n = 18
Step-by-step explanation:
Given that the value under under null hypothesis is 40 while the value under the alternative is less than 40, specifically 35.9
∴ H₀ : u = 40
H₁ : u = 35.9
therefore β = ( 35.9 - 40 ) = -4.1
The level of significance ∝ = 0.05
Probability of committing type 11 error P = 0.1
standard deviation α = 5.8
Therefore our z-vales (z table)
Z₀.₅ = 1.645
Z₀.₁ = 1.282
NOW let n be sample size
n = {( Z₀.₅ + Z₀.₁ )² × α²} / β²
n = {( 1.645 + 1.282 )² × 5.8²} / (- 4.1)²
n = 17.14485
Since we are talking about sample size; it has to be a whole number
therefore
sample required n = 18
Help a man out, ive been stuck on this for a while.
Answer:
1. true - dilating figures does not change their angle measure
2. true - dilating figures does not change the orientation, so AD would still be on a horizontal line parallel to its current position
Evelyn is shopping for laundry detergent, and she prefers to get the best unit price she can. At the store, brand A is priced at $54 for 6 loads of laundry and brand B is priced at $63 for 9 loads of laundry
The unit cost of Brand B is less than Brand A, Evelyn for shop for Brand B.
What is the meaning of Unit Price ?Unit price is the price of one(unit) quantity of any substance.
The Brand A detergent costs $54 for 6 loads of laundry
Brand B detergent costs $63 for 9 loads of laundry
The unit price of both the detergent has to be compared to find the best among both
Unit cost for Brand A = 54/6 = $9
1 load of Brand A costs $9
Unit cost of Brand B = $63/9 = $7
1 load of Brand B costs $7
As, the unit cost of Brand B is less than Brand A, Evelyn for shop for Brand B.
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water drips from a faucet at a rate of 41 drops/ minute. Assuming there are 15,000 drops in gallon, how many minutes would it take for the dripping faucet to fill a 1 gallon bucket? Round your answer to the nearest whole number
Answer:
366 Minutes
Step-by-step explanation:
In June, Jasmine earned $1200 in commission. In July, her commission decreased by 7% Write an expression that can be used to find her commission in July.
Answer:
$1116
Step-by-step explanation:
limit xtens to 0 x^2logx^2 what is the ans of interminate forms?
Rewrite the limit as
[tex]\displaystyle\lim_{x\to0}x^2\log x^2=\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}[/tex]
Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get
[tex]\displaystyle\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}=\lim_{x\to0}\frac{\frac2x}{-\frac2{x^3}}=\lim_{x\to0}-x^2=\boxed{0}[/tex]
Find the x-value of the removable discontinuity of the function.
Answer:
x=2
Step-by-step explanation:
[tex]f(x)=\frac{x^2-4}{x^2-12x+20}[/tex]
Factor the numerator and denominator:
[tex]f(x)=\frac{(x-2)(x+2)}{(x-2)(x-10)}[/tex]
We can remove (x-2) from the function:
[tex]f(x)=\frac{x+2}{x-10}[/tex]
(x-2) is a removable discontinuity.
The x-value of x-2 is x=2.
rectangular field has a total perimeter of 128 feet. The width is
A
24 feet less than the length. What are the dimensions of the field?
Answer:
The length is 44 feetThe width is 20 feetStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
Perimeter = 128 feet
The width is 24 feet less than the length is written as
w = l - 24
128 = 2l + 2( l - 24)
128 = 2l + 2l - 48
Group like terms
4l = 176
Divide both sides by 4
l = 44
The length is 44 feet
Substitute l = 44 into w = l - 24
w = 44 - 24
w = 20
The width is 20 feet
Hope this helps you
Investment: Suppose you receive a gift of $1,000 and decide to open a CD (certificate of
deposit) as a low risk investment. The best CD rate you could find is 2.25%, which means that
your original investment will grow at a rate of 2.25% each year.
Assuming the rate of increase does not change, which of the following statements is TRUE
about your CD account balance?
It will no longer grow after several years.
It will triple in approximately 3 years.
O 4 years after the original investment, it is approximately $1,093.
O It will double in approximately 10 years.
Answer: 4 years after the original investment, it is approximately $1,093.
Step-by-step explanation:
Hi, to answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t= years
Replacing with the values given
I = 1000x (2.25/100) x t
It will triple in approximately 3 years. FALSEI = 1000x (2.25/100) x 3 =67.5
1000+67.5 = 1067.5
It will no longer grow after several years: False, it will grow because it has a growth rate.4 years after the original investment, it is approximately $1,093. TRUEI = 1000x (2.25/100) x 4 =90
1000+90 = $1090
It will double in approximately 10 years.I = 1000x (2.25/100) x 10 =225
1000+90 = $1225
Feel free to ask for more if needed or if you did not understand something.
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 7 units. What are the coordinates of your position
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
what is the ratios 3/4 in it simplest form
Answer:
3/4
Step-by-step explanation:
3/4 is already in it's simplest form as you already know that consecutive numbers don't have anything in common to multiply.So, it is in it's simplest form.
Hope it helps u : )
The equivalent and the percentage form of 3/4 are 12/16 and 75% respectively.
What is the ratio?
The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, the ratio of 3/4
Percentage of 3:4 = 34×100%=75%
the equivalent ratio of 3:4 is 12:16.
A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 3 to 4. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 3 over 4.
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Which inequality is represented by the graph?
Answer:
Step-by-step explanation:
the inequality represented by the graph is B
Plot the points
2x - 4/5y ≥ 3
y ≤ 2/5x - 3/2
x y
0 -3/2
15/4 0
Which of the following
examples have a constant rate of change?
A : You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles.
B : The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year.
C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.
D : The amount bacteria double every hour.
Answer:
C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.
Step-by-step explanation:
If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.
The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Let's check all the options, then we have
A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.
B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.
C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.
D: The number of bacteria doubles every hour. It is an example of the exponential function.
The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.
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Solve for x : 2^x+4^x+8^x=−14
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve this step by step.
[tex]2^x + 4^x + 8^x = -14[/tex]
↓
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
Prime number 2 to the power of 2 = 4
[tex]2^x + (2^2)^x + (2^3) ^x = -14[/tex]
↓
Prime number 2 to the power of 3 = 8
[tex]2^x + 2^2x + 2^3x = -14[/tex]
↓
We need to exponentiate the power.
The following rule is applied:
[tex](A^B) ^C = A^BC[/tex]
In our example,
A is equal to 2,
B is equal to 2 and
C is equal to x.
[tex]( 2^x + 2^2x + 2^3x ) + 14 = -14 + 14[/tex]
↑
In order to solve this non-linear equation, we need to move all the terms to the left side.
In our example,
- term −14, will be moved to the left side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
___________________
We need to get rid of expression parentheses.
If there is a negative sign in front of it, each term within the expression changes sign.
Otherwise, the expression remains unchanged.
In our example, there are no negative expressions.
↓
[tex]2^x + 2^2x + 2^3x + 14 = 0[/tex]
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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
|2x-19| = 4x + 1 helppp
Answer:
x = 9
Step-by-step explanation:
Well to find x we need to use the commutative property which is the moving of numbers and variables to either side of the equation,
|2x - 19| = 4x + 1
-2x to both sides
|-19| = 2x + 1
Absolute value of -19 is 19
19 = 2x + 1
-1 to both sides
18 = 2x
Divide 2 to both sides
x = 9
Thus,
x is 9.
Hope this helps :)
The value of x is -10 when the equation is |2x-19| = 4x + 1
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is |2x-19| = 4x + 1
Mod of two times of x minus nineteen equal to four times of x plus one.
|2x-19| = 4x + 1
2x-19=4x+1
Now add 19 on both sides
2x=4x+20
Subtract 4x on both sides
-2x=20
Divide both sides by 2
x=-10
Hence, the value of x is -10 when the equation is |2x-19| = 4x + 1
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among the following, an incorrect statement is a) the volume of the hollow sphere =4/3π (r^3—r^3), where r is the radius of the outer sphere and r is the radius of the inner sphere. b) the volume of the hemisphere of radius(r) is 2πr^3 c) the surface area sphere = 4πr^2 d) the surface area of a spherical shell = 4π (r^2—r^2), where r = external radius and r= internal radius
please can someone say which one is incorrect
Answer:
fncjcnj jcj jcj jcj jd. d. c. dn. d. c. c. x. c. c. c.
Sophie saw a dress she liked on sale for $15 off. The original price of the dress was $96. What is the sale price of the dress?
If there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.
What is the application of subtraction?In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
Given that Sophie discovered a dress she liked that was $15 off. The dress cost $96.
The sale price of the dress is obtained by subtracting the original price from the price discount on the dress,
= $96 - $15
=$ $81
Thus, if there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.
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The original price of a burrito was $8. The price was increased by 10%. What is the new price?
Answer:
The new price is 8.80
Step-by-step explanation:
First find the increase
8 * 10%
8 * .10
.80
Add this to the original price
8 + .80
8.80
The new price is 8.80
Answer:
the answer is $8.80 :))
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola. Equation 1: (x – 3)2 = y – 4 Equation 2: y = -x + b In order for Tom’s thinking to be correct, which qualifications must be met?
Answer:
b=7
Step-by-step explanation:
Answer:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
i got it right on the test
WHY CAN'T ANYONE HELP ME PLEASE? THANKS! A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 15% profit. If he sold it for $4669, how much did Charles pay for the car?
Step-by-step explanation:
Given,
a student (Charles) bought a car and sold it in 15 % profit for $4669.
we have the formula,
[tex]cp = \frac{sp \times 100}{100 + p\%} [/tex]
so,
[tex]cp = \frac{4669 \times 100}{100 + 15} [/tex]
by simplifying it we get,
CP is $4060.
Therefore, the cp was $4060.
Hope it helps...
Look at the figure. Which step should be taken next to construct a line through point P perpendicular to BA?
ANSWER:
C. Place the compass on point A. Open the compass to a point between point P and point B.
EXPLANATION:
A perpendicular is a line that would be at a right angle to line BA.
The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.
Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.
Simplify the following algebraic expression.
square root of 39x^7
Answer: x^3 square root 39x
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.