You have this information about ΔABC, ΔFDE, and ΔGIH:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?

A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045

Average rate of change = 0.045 cm

The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

Derivative in mathematics represent the rate of change of a function with respect to a variable.

Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.

From the question we can write -

Initial age = A[1] = 30

Initial diameter = D[1] = 11.9 cm

Final Age = A[2] = 110

Final diameter = D[2] = 15.5 cm

Average rate [r] = D[2] - D[1] / A[2] - A[1]

r =  D[2] - D[1] / A[2] - A[1]

r = 15.5 - 11.9/110 - 30

r = 3.6/80

r = 0.045

Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

To solve more questions on rate measurements, visit the link below-

https://brainly.com/question/11965077

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Answer:

3rd option is correct

Step-by-step explanation:

If the table represents a function, that means that it is proportional. But the value increases and decreases, showing no proportional relationship.

So, the answer could be 1st or 3rd as they tell that the table doesn't represent a function.

1st answer says the table doesn't represent a function because the 2 (y-values) are similar;

Their x-values are different so, this answer is wrong.

3rd answer says that the table doesn't represent a function x-value increases, while y-value increases and decreases;

The statement is correct because it this table doesn't represent a proportional relationship as its y-values are increasing and decreasing while its x-values are only increasing.

So, the 3rd option is correct.

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

in this we have given the value of f(x) = 15

[tex]f(x) = x + 7[/tex]

[tex]f(15) = 15 + 7[/tex]

[tex]f(15) = 22[/tex]

so this is ur answer

hope it helps .

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

Answer:

(x + 87)/4

Step-by-step explanation:

"a quarter" = 0.25 by numerical value.

"the sum of a number (x) and 87" = x + 87

Combine the two terms:

"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4

(x + 87)/4 is your answer.

~

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

t = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Since the points are collinear they lie on the same line.

Thus the slopes between any of the 3 points are equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]

Repeat using

(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m

m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(t - 5) = - 24 , that is

5t - 25 = - 24 ( add 25 to both sides )

5t = 1 ( divide both sides by 5 )

t = [tex]\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Answer:

the answer

Step-by-step explanation:

D) 0.13 (325)

HOPE THIS HELPS!

do you need the workout?

Answer:

Possible Answers: –5. –21. 7. –1

Answer:

just put the values and simpilyfy it untill you get the value of X

hence, the value of X is either 3 or, -1

Answer:

6)  C

7) A

8) D

9) B

Step-by-step explanation:

when the sign is < or  > then the point is clear point(white)

when the sign is ≤ or ≥ then the point is solid ( black)

6) 4y+3≤y+6

4y-y≤6-3

3y≤3

y≤3/3

y≤1  (C)

7) -2y>2 ( wen sign is negative you flip the sign from> to <)

y<-2/2

y<-1  (A)

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

8) y/3<-1 ⇒ y<-3  the sign is < means it is clear and on -3 (D)

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

9) 3y≤2y+3

3y-2y≤3

y≤3 ( B)

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

Answer:

24.5d + 15.99 = 27.5d + 3.99

Step-by-step explanation:

The other person who answered this question was correct, they just explained it all the way through and since you guys skim through everything instead of reading, I'll put the answer. :)

Answer:

True.

Step-by-step explanation:

It fails the vertical line test. The vertical line test checks to see if any inputs (x values) have more than one output. In this case, they do.

Answer:

The answer for this question is A

Answer:

54 degrees

Step-by-step explanation:

Measure of arc DCB is 125*2 = 250.

So, measure of arc BAD is 360-250 = 110.

So, measure of arc AD is 110 - 56 = 54 degrees

Answer:

coin 1

Step-by-step explanation: i think this is it

Answer:

Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4

Answer:

The correct option is a.

Step-by-step explanation:

The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].

The formula to compute the standard error is:

[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]

As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.

Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.

And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.

The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.

The standard deviation of any statistic measures the variability of the statistic.

So, the standard error measures the variability in sample means.

Thus, the correct option is a.

Answer:

i: -1.3

ii: 1.3

Step-by-step explanation:

You literally have it.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

C

Step-by-step explanation:

1/2(10*7)*13

1/2(70)*13

35*13=455

Answer:

[tex] 5^{-3} = \dfrac{1}{125} [/tex]

Step-by-step explanation:

Rule of negative exponents:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

This problem:

[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]

Answer:

[tex]\boxed{\frac{1}{125}}[/tex]

Step-by-step explanation:

[tex]5^{-3}[/tex]

Apply rule:

[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]

[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

Answer:

5

Step-by-step explanation:

With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.

[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

[tex]\dfrac{45}{56}*100= 0.8035 * 100 = 80.35[/tex] = 80%

Answer:

Step-by-step explanation:

Here, MN= NP

→ [tex]128=2x+70[/tex]

→ [tex]2x=128-70[/tex]

Subtract :-

→ [tex]2x=58[/tex]

Divide both sides by 2:-

→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]

→ [tex]x=29[/tex]

OAmalOHopeO

Step-by-step explanation:

A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for in the given situation is that the value of the number before it was divided by 100.

To get the desired value, we can simply multiply the obtained result by 100

=> 28.003 x 100

=> 2800.3

So, by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.

x - 3 = 27

add three to both sides

then x= 30

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         Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]x-3=27[/tex]

Step 1: Add 3 to both sides.

[tex]x -3 + 3 = 27 +3[/tex]

[tex]x = 30[/tex]

So the answer is : [tex]x = 30[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

I guess this is the answer

Step-by-step explanation:

(x + y)²4x²y²

= [2xy(x + y)]²

= (2x²y²)²

[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]

Answer:

[tex] \boxed{13}[/tex]

Step-by-step explanation:

Arranging the data in ascending order:

8 , 8 , 10 , 11 , 13 , 13 ,13 , 14 , 14 , 15 , 16 , 17 , 18 , 18 ,

In the case of discrete data, mode can be found just by inspection, i.e just by taking an item with highest frequency.

Here, 13 has the highest frequency

So, Mode = 13

Extra information

Mode

The mode of a set of data is the value with the highest frequency. A distribution that has two modes is called bimodal. The mode of a set of data is denoted by Mo.

Hope I helped!

Best regards!