A right angle intersects a line at point M

Answer:

y = 10(1.03)^x

Step-by-step explanation:

In the formula y = p(1 + r)^x, p is the starting amount and r is the growth rate.

In this problem, the starting amount is 10. So, p = 10.

The growth rate is 3% each week, which is the same as 0.03 as a percentage. So, r = 0.03.

Plug these into the equation:

y = 10(1.03)^x will be the equation for this situation

The equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

We have:

A pond increases 3% each week.

The exponential growth is represented by:

y = p(1 + r)×

p = 10 feet

r = 3% = 0.03

y = 10(1 + 0.03)×

y = 10(1.03)×

Thus, the equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

Learn more about the exponential function here:

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Answer/Step-by-step explanation:

Given:

[tex] 9w - 4w + 6 [/tex] < [tex] 1 + 5w [/tex]

To solve, collect like terms.

Subtract 5w from both sides

[tex] 9w - 4w + 6 - 5w [/tex] < [tex] 1 + 5w - 5w [/tex]

[tex] 9w - 4w - 5w + 6 [/tex] < [tex] 1 [/tex]

[tex] 6 [/tex] < [tex] 1 [/tex] (incorrect)

The inequality given has no solution or an information is missing.

Your question has been heard loud and clear.

Well -(-5)=5

5/-5/= -5

/-5/5= -5

So basically , the statement is false because   -5(-5) not equal to -5/-5/

Thank you

From the given options |-5|=-5 is false. Therefore, option B is the correct answer.

We need to identify the false statement from the given options.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.

From option (A):

-(-5)=5 is true

From option (B):

|-5|=-5 is false

From option (C):

-|-5| = -5 is true

From option (D):

-|5| = -5 is true

From the given options |-5|=-5 is false. Therefore, option B is the correct answer.

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Answer:   393.2 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]A=\dfrac{1}{2}ab \sin C[/tex]

Given: a = 24, b = 40, C = 55°

[tex]A=\dfrac{1}{2}(24)(40) \sin 55^o\\\\.\quad =480\sin 55^o\\\\.\quad =393.2[/tex]

Answer:

[tex]\huge \boxed{\mathrm{393.2 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ab \cdot sinC }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 24 \cdot 40 \cdot sin55 }[/tex]

[tex]\displaystyle A=\mathrm{480 \cdot sin55 }[/tex]

[tex]\displaystyle A=\mathrm{393.19298125...}[/tex]

The area of the triangle is 393.2 units².

Answer:

y = -5x + 7

Explanation:

Slope is given -5

7 is the y-intercept.

Answer:

400

Step-by-step explanation:

The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}[/tex]

Step-by-step explanation:

The GCF of any numbers can be obtained by using two methods. They are :

Now, I am going to find out the GCF of 54 , 72 and 108 using these both methods :

Let's find out using the prime factorization method

First of all , find the prime factor of each numbers

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

Take out the common prime factors of given numbers

Common prime factors = 2 , 3 and 3

Multiply those common prime factors and the number obtained is G.C.F

GCF = Common prime factors

= 2 × 3 × 3

= 18

-----------------------------------------------------------

Now,let's find out using another method i.e division method

Steps for finding G.C.F by using division method:

Step 1 : Divide the larger number by smaller one.

Step 2 : In case of remaining remainder, divide the first division by that remainder.

Step 3 : Again if remainder leaves, divide the second divisor by the remainder.

Step 4 : Repeat the process until the remainder becomes the zero. So , that the last divisor is the G.C.F

( See attached picture )

Hope I helped!

Best regards!!

Answer:

4th-degree trinomial

Step-by-step explanation:

The question is missing it's root sign; it should be 7x^4-5x+4

Answer:

38.2

Step-by-step explanation:

5 (x-4) + 2 = 173

=> 5x - 20 + 2 = 173

=> 5x - 18 = 173

=> 5x - 18 + 18 = 173 + 18

=> 5x = 191

=> 5x/5 = 191/5

=> x = 38.2

So, x is 38.2

Answer:

x=-4

Step-by-step explanation:

1. Distribute.

|-8x-20|=-12

2. Make it positive.

8x+20 = -12

3. Inverse operations.

8x = -32

4. Divide.

x = -4.

Answer:

54 [tex]m^2[/tex]

Step-by-step explanation:

To find the area of a triangle use the formula a = 1/2bh

The altitude is the same as height so we can substitute 12 for h and 9 for b

Now the equation will become

a = 1/2 · 9 · 12

When you multiply it, it become 108/2 = a simplified to a = 54

Answer:

2

Step-by-step explanation:

Answer:

An= 8 x (1/2)^(n-2) and the average rate of change is 6

Step-by-step explanation:

Answer:

if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.

Answer:

= 1799   or   224.875

     8

Step-by-step explanation:

5³ − (6/48) + 10²

= 125 - (0.125) + 100

= 224.875

or

5³ − (6/48) + 10²

= 125 - 1/8 + 100

= -1/8 + 225

= (225 * 8)/8 - 1/8

= (225 * 8-1) / 8

= 1799   or   224.875

     8

Answer:

[tex]\huge \boxed{\frac{1799}{8} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5^3-(\frac{6}{48} )+10^2[/tex]

Solving for exponents:

[tex]\displaystyle 125-(\frac{6}{48} )+100[/tex]

Adding or subtracting:

[tex]\displaystyle -(\frac{1}{8} )+100+125[/tex]

[tex]\displaystyle -(\frac{1}{8} )+225[/tex]

[tex]\displaystyle -(\frac{1}{8} )+\frac{1800}{8}[/tex]

[tex]\Rightarrow \ \displaystyle \frac{1799}{8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{7. \ C}} \\\\ \\ \Huge \boxed{\mathrm{8. \ B}} \\\\\\ \Huge \boxed{\mathrm{9. \ D}} \\\\\\ \Huge \boxed{\mathrm{10. \ D}} \\\\\\ \Huge \boxed{\mathrm{11. \ A}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The Commutative Property of Addition changes the order of the numbers but does not affect the sum.

We will convert the values into decimals for simplicity.

[tex]\sqrt{7} \approx 2.65[/tex]

[tex]\sqrt{3} \approx 1.73[/tex]

[tex]\displaystyle \frac{-1}{3} \approx -0.33[/tex]

Arranging from least to greatest:

[tex]\displaystyle -2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1[/tex]

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

(image)

The two subsets of real numbers are rational and irrational numbers.

[tex]\sqrt{13}[/tex] is an irrational number.

[tex]\displaystyle \frac{12x-8}{4}[/tex]

[tex]\displaystyle \frac{12x}{4}-\frac{8}{4}[/tex]

[tex]3x-2[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

A. 77

Step-by-step explanation:

The mode of a data set is the value that appears the most number of times.

Here, we see that all the values appear once, except for 77, which appears twice:

74, 73, 76, 77, 71, 68, 65, 77, 67, 66

Thus, the answer is A, 77.

~ an aesthetics lover

Answer:

The answer is A.

Step-by-step explanation:

Mode is the value that occurs most frequently in a group.

So in this group, 77 appears the most.

Answer: 1 1/9.

Step-by-step explanation: Divide the numerator by the denominator.  Write the whole number answer.  Make a fraction from the remainder and the original denominator.  To get back to an improper fractions, add the whole number to the numerator.

Answer:

4

Step-by-step explanation:

If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.

The second part tells us that Eden will be twice as old as Judge in two years.

This means that in two years: (Eden's age) = 2 * (Judge's age).

Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x

Simplify the equation:

x + 6 = 2x

6 = x = Judge's age (in two years)

If Judge is 6 two years later, then he must be 4 now.

To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.

Answer:

a) 0.5756

b) 2.3333

Step-by-step explanation:

A) for p ( 0 ≤ t ≤ 2)

  = 1 - [tex]e^\frac{6}{7}[/tex] =  0.5756

B) for E(t)

= 7/3 = 2.3333

attached below is the remaining part of the solution

Answer:

122 degrees

Step-by-step explanation:

180-58=122

Answer:

Step-by-step explanation:

to compare them, we need to convert them into like fractions

4/3 and 5/2

lcm of 3 and 2 is 6

4/3 × 2/2 = 8/6

5/2 × 3/3 = 15/6

15/6 is greater than 8/6

so 5/2 is greater than 4/3

similarly,

-3/2 and -4/5

we need to convert them into like fractions

lcm of 2 and 5 is 10

-3/2 × 5/5 = -15/10

-4/5 × 2/2 = -8/10

-8/10 is greater than -15/10

so -4/5 is greater than -3/2

Hope this helps

plz mark as brainliest!!!!

Answer:

a = 0

b = [tex]\frac{\pi }{4}[/tex]

c = 0

d = 3

e = 5

f = [tex]\sqrt{34-r^2}[/tex]

Step-by-step explanation:

Equation of the solid sphere = x^2 + y^2 + z^2 ≤ 34 ------- (1)

at Z = 5

since the bottom of the sphere(z) is flat = 5 we will use cylindrical coordinates

concentrating in the first octant as mentioned in the question

at Z = 5 , equation 1 becomes :

  x^2 + y^2 + 25 ≤ 34 = x^2 + y^2 = 9  

hence the radius around the xy axis = [tex]\sqrt{9}[/tex] = 3

that means the radius is : 0 ≤ r ≤ 4 ,  0 ≤ ∅ ≤ [tex]\frac{\pi }{4}[/tex]

next we have to find the upper bound of: Z = ±[tex]\sqrt{34-r^2}[/tex] we will pick out only the positive

5 ≤ z ≤ [tex]\sqrt{34 - r^2}[/tex]

therefore for the  Volume = ∫ba∫dc∫fe

a = 0

b = [tex]\frac{\pi }{4}[/tex]

c = 0

d = 3

e = 5

f = [tex]\sqrt{34-r^2}[/tex]

Answer:

$125

Step-by-step explanation:

I suspect there's an error in the problem statement.  Revenue is the money made from selling the desks.  Profit is the revenue from the desks minus the cost of the booth rental.

If Rayne gives half of his profit to the carpenter, and x is the price per desk, then:

185.50 = ½ (3x − 4)

371 = 3x − 4

375 = 3x

x = 125

Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

Answer:

tom needs to rend 14 tables

Answer:

1 / 125

Step-by-step explanation:

Since there are 3 digits after the decimal point, we know that our denominator will be 10³ = 1000. Since the only non-zero digit after the decimal point is 8, we know that the numerator is 8. Therefore, the answer is 8 / 1000 = 1 / 125.

Answer:

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

Step-by-step explanation:

Formula for the equation of the linear function

(Y-y1)/(x-x1) = m

We will transform it into the equation form

Y= mx + b

Where m = slope=4

b = intercept

(Y-y1)/(x-x1) = m

(Y-y1)/(x-x1) = 4

(Y-y1)= 4(x-x1)

Y-y1= 4x -4x1

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

An equation for the family of linear functions with slope 4 is; y = 4x +b

The equation of a line can be determined by means of the slope as follows;

Therefore, for this scenario;

By Cross-product, we have;

Since, the y-intercept, b is the value of y for which x= 0.

Hence;

Read more on slope-intercept form;

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Answer:  C. 5(7x² - 3)

Step-by-step explanation:

Product means multiplication

Difference means subtraction

square means "to the power of 2"

Product of 5 and  _______ -->     5(__)

Difference of 7 ... and 3   -->  7... - 3

7 times the square of x  --->  7x²

Put it together to get: 5(7x^2 - 3)

Answer:

D is the correct answer

Step-by-step explanation:

I got it right