7)
What is the average rate of
change for f (x) = -2% + 70 over the interval 2 = X = 6?
A)
-15
O0
-16
-30
D)
-32

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Here [ a, b ] = [ 2, 6 ], thus

f(b) = f(6) = -  + 70 = - 64 + 70 = 6

f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66

average rate of change =  =  = - 15 → A


Related Questions

I NEED HELP PLEASE!

301 + 51% =

a. 389
b. 439
c. 454
d. 396

Answers

C
because
51% of 301 is 153,51
and 153,51+301 is 454,51

The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.

Which graph models Y<1/2|X-2|

Answers

Answer:

Which graph models Y<1/2|X-2| ...........no.2

please solve 14 and 15 only

i will mark brainliest!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle

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

(14)

∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then

∠ 1 = 180° - 58° = 122°

∠ 2 + ∠ 3 = ∠ 4

∠ 2 + 32° = 58° ( subtract 32° from both sides )

∠ 2 = 26°

∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°

∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°

(15)

∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°

∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°

∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°

∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°

A triangular prism is 18 inches long and has a triangular face with a base of 16 inches and a height of 15 inches. The other two sides of the triangle are each 17 inches. What is the surface area of the triangular prism?

Answers

Answer:

16+ inches i think

Step-by-step explanation:

beacuse the with is 16 meanimg it nedds to be the same or bigger

Please help due today this will be a life save please n thank you WILL GIVE BL

Answers

Answer:

Answers below

Step-by-step explanation:

1. 77,915.06

A=2*50( this is a subscript 50)+(50+50+50)505

2. 5.47×105 or 547,000

3. 211045.04

I'm pretty confident that these are all correct but double check them first.

can someone help me with this? I dont get how to do it. Thank you!

Answers

Answer:

V = 162 ft³

Step-by-step explanation:

given 2 similar figures with ratio of sides a : b , then

ratio of volumes is a³ : b³

here ratio of sides = 3 : 1 , then

ratio of volumes = 3³ : 1³ = 27 : 1

this means that the volume of figure A is 27 times the volume of figure B

volume (V) of figure A is then

V = 27 × 6 = 162 ft³

How to find the area of a rectangle?

Answers

Answer:

A=wl

Step-by-step explanation:

with x linth = area

Answer:

area of rectangle=lxb

Step-by-step explanation:

using the formula

Given the alphabet: a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, what is the probability of choosing a vowel, a, e, i, o, u?

19.2%
31.1%
29.1%
11.5%

Answers

Answer:

19.5%

Step-by-step explanation:

probability of getting a, e, i, o, u is 5/26(total alphabets)

change 5/26 to percentage

If y=2x-8 what is the minimum value of the product xy

Answers

The minimum value of the product is -8.

What is the minimum value?

The minimum value is the y value of the lowest point on the graph.

The function y = 2x-8 and we have to find the minimum value of the XY.

Plugging the value of y in the product;

[tex]\rm f(x)=x(2x-8)\\\\f(x)=2x^2-8x[/tex]

f(x) represents an upward parabola and we know that for an upward parabola, the minimum point is the vertex.

So in order to find the minimum value, we find the y coordinate of the vertex of the parabola.

The x-coordinate of the parabola is given by;

[tex]\rm = \dfrac{-b}{2a}\\\\=\dfrac{-8}{2\times 2}\\\\ =\dfrac{-8}{4}\\\\=-2[/tex]

The y -coordinate of the parabola is;

[tex]\rm f(x)=2x^2-8x\\\\f(2)=2(2)^2-8(2)\\\\f(2)=2\times 4-16\\\\ f(2)=8-16\\\\ f(2)=-8[/tex]

The vertex is (2,-8)

Hence, the minimum value of the product is -8.

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please help. i have test tomorrow and i need to know how to do this.

Answers

Answer:

Answer is D

Just expand

And remember

[tex] \sqrt{ - a} = \sqrt{a} i[/tex]

Goodluck tomorrow

Cone A has a radíus 12 inches and Cone B has a
radius of 30 inches. If the cones are similar and
the volume of Cone A is 48 ft², find the volume b of Cone b

Answers

Check the picture below.

[tex]\cfrac{\stackrel{A~radius}{(12)^3}}{\underset{B~radius}{(30)^3}}~~ = ~~\cfrac{\stackrel{A~volume}{48}}{\underset{B~volume}{V}}\implies \cfrac{1728}{27000}~~ = ~~\cfrac{48}{V}\implies \cfrac{8}{125}~~ = ~~\cfrac{48}{V} \\\\\\ 8V=(48)(125)\implies V=\cfrac{(48)(25)}{8} \\\\\\ V=\cfrac{48}{8}25\implies V=6(25)\implies V=150[/tex]

Find the square root of 1

Answers

Answer its one

Step-by-step explanation:

Carl is trying to determine the length of segment mn using the pythagorean theorem. on a coordinate plane, line m n has points (negative 3, 1) and (4, negative 4). step 1: find the vertex of a possible right triangle. v(4, 1) step 2: find the leg lengths of the right triangle. nv = 7, mv = 5 step 3: substitute the values into the pythagorean theorem. 7 squared 5 squared = c squared step 4: solve for c. 7 squared 5 squared = c squared. 49 25 = c squared. 74 = c squared. startroot 74 endroot = c. which best describes the accuracy of carl’s solution? carl’s work and answer are both entirely correct. carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2. carl’s work and answer are incorrect. he choose a vertex, v, that does not make a right triangle with mn. carl’s work and answer are incorrect. he substituted and solved incorrectly.

Answers

The option that describes the accuracy of Carl's solution in the Pythagoras is C. Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

What is Pythagoras?

It should be noted that a Pythagoras theorem is a theorem that states that the sum of the squares that are on the leg of a right angle will be equal o the square of the hypotenuse.

In this case, the steps given show that Carl's work is correct but he incorrectly labeled the leg lengths in step 2.

Therefore, the correct option is C.

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Answer:

c

Step-by-step explanation:

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.

evaluate (√2 + √3)² (√5 - √2)²

Answers

Answer:

35 -10√10 + 14√6 - 8√15

Step-by-step explanation:

(√2 + √3)² · (√5 - √2)²

use (a ± b)² = a² ± 2ab + b²

= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]

= (2 + 2√6 + 3) · (5 - 2√10 + 2)

= (5 + 2√6)(7 - 2√10)

use FOIL: (a + b)(c + d) = ac + ad + bc + bd

= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)

= 35 - 10√10 + 14√6  - 4√60

= 35 - 10√10 + 14√6 - 4√(4 · 15)

= 35 - 10√10 + 14√6 - 4 · √4 · √15

= 35 -10√10 + 14√6 - 4 · 2 · √15

= 35 -10√10 + 14√6 - 8√15

[tex]\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\[/tex]

Lucy is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?

Answers

The total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

What is permutation and combination?

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have:

Total number of outcomes for pyramid = 4

Total number of outcomes for spinner = 5

Total outcomes = 4×5  (multiplication rule of counting)

= 20

Thus, the total possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with 5 equal-sized sections is 20.

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Supervisor: "you took 500 calls in 30 days." representative: "that means i took an average of __________ calls per day. i'm pretty pleased with that."

Answers

Answer:

an average of around 16 calls per day

Step-by-step explanation:

Simply divide 500 by 30 and that comes out to 16.66666

But because you cannot take half a call you just use 16 as your answer!

The diameter of a circle is 3 in. Find its area to the nearest hundredth.

Answers

Answer:

7.069 in

Step-by-step explanation:

1.5*1.5* 3.14159265359

Answer:

the answer is 14.79... hope this helps

A triangle has sides with lengths of 14 meters, 16 meters, and 20 meters. Is it a right triangle?

Answers

Answer:

No, it is not a right triangle.


Using the Pythagorean theorem the longest side would need to be 21.26 meters , not 20, in order to be a right triangle.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Hello I am here to help!

the answer is b.

B is correct because 1/4 is eights is 2/8.
When you add 3/8 and 2/8 your answer is 5/8 which is b.
Therefore the answer is B

Answer:

B. 5/8

Step-by-step explanation:

To find this you will want to find what the 2 denominators have in common. In this instance if you multiply 4 by 2 you will get 8. Once you find what you can do to get the same denominators you will multiply the numerator with the same number as the denominator. So 4x2 and 1x2 gives us 2/8 as our new fraction. After this adding fractions is much simplier. It's as simple as adding the numerators together and keeping the denominator as the same. 3/8 + 2/8 = 5/8.

i put the wrong question earlier help is appreciated

Answers

Answer:

B. 71°

Step-by-step explanation:

Parallel lines are the same

Answer:

measure of angle 1 is equal to 71.

what problem can be solved using 3 x 7 = 21

Answers

Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

Which is the value of Sin^2 51+Cos ^2 51 ?

Answers

Answer:

1

Step-by-step explanation:

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

Here, both of these angles are 51 so they will be equal to 1.

verify the theorm proved above for p=2,p=5 and for a^2=1, 4,9,25,36,49,64 and 81​

Answers

Theorem : Let p be a prime number. If p divides a²  , (where a is a positive integer),  then p divides aLet say prime factors of a area = p₁ , p₂ , p₃ ........., pₓ   where p₁ to pₓ are prime numbera = (p₁ × p₂ × p₃ ×.........× pₓ)a² =  (p₁ × p₂ × p₃ ×.........× pₓ) (p₁ × p₂ × p₃ ×.........× pₓ)if p divides a² then it is one of  (p₁ × p₂ × p₃ ×.........× pₓ)as a = (p₁ × p₂ × p₃ ×.........× pₓ) so p divides aVerification forp = 2, p = 5 and for a square = 1, 4, 9, 25, 36, 49, 64 and 81.2 is factor of 4 , 36 & 642 is factor of 2 , 6 & 85 is factor of 255 is a factor of 5 also

A science test, which is worth 100 points, consists of 24 questions. E
points. If x is the number of 3-point questions and y is the number of
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions
The test contains 4 three-point questions and 20 five-point ques
The test contains 10 three-point questions and 14 five-point que
The test contains 14 three-point questions and 10 five-point qu-
O The test contains 20 three-point questions and 8 five-point que

Answers

Answer:

B

Step-by-step explanation:

actually the question is about to solve x and y

x + y = 24, x = 24 - y, put into the other equation

3x + 5y = 100

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

2y = 28

y = 14

x = 24 - 14 = 10

no. of 3 point question = 10, no. of 5 point question = 14

What is the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds?

Answers

The probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

What is the probability?

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

The average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds.

The standard error of the sample will be:

[tex]\rm Standard \ error=\dfrac{Standard deviation}{\sqrt{ Number \ of \ babies} }\\\\\rm Standard \ error=\dfrac{1.2}{\sqrt{ 4} }\\\\Standard \ error=\dfrac{1.2}{2}\\\\Standard \ error=0.6[/tex]

The probability that the average of four babies P(4 babies will be between 8.4 - 9.6 pounds) is;

[tex]\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{6.8-8}{0.6}\leq X\leq \dfrac{9.2-8}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( \dfrac{-1.2}{0.6}\leq X\leq \dfrac{1.2}{0.6} \right )\\\\\rm P(6.8\leq X\leq 9.2)= \left( -2\leq X\leq 2 \right )\\\\\rm P(6.8\leq X\leq 9.2)= P(Z\leq -2)-P(Z\leq 2)\\\\ P(6.8\leq X\leq 9.2)=0.97-0.22\\\\ P(6.8\leq X\leq 9.2)=0.74[/tex]

Hence, the probability that the average of four babies' weights will be within 1. 2 pounds of the mean; will be between 6. 8 and 9. 2 pounds is 0.74.

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Answer answer please please

Answers

Answer:

b

Step-by-step explanation:

you have to solve each equation to find the smallest to largest.

Answer: it is choice b . The second choice is correctly ordered from greatest to largest .

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Which expression is equivalent to startfraction m minus 4 over m 4 endfraction divided by (m 2) ? startfraction m minus 4 over (m 4) (m 2) endfraction startfraction (m 4) (m 2) over m minus 4 endfraction startfraction (m minus 4) (m 2) over m 4 endfraction startfraction m 4 over (m minus 4) (m 2) endfraction

Answers

The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{m-4}{m^4})/ m^2\\\\This\ can\ be\ simplified\ to:\\\\(\frac{m-4}{m^4})*\frac{1}{m^2} \\\\=\frac{m-4}{(m^4)(m^2)}[/tex]

The expression that is equivalent to [tex](\frac{m-4}{m^4})/ m^2[/tex] is the expression [tex]\frac{m-4}{(m^4)(m^2)}[/tex]

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Answer:

A

or M-4 / ( M + 4 ) ( M + 2 )

StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction

Step-by-step explanation:

Can someone explain

Answers

Answer:

See below ~

Step-by-step explanation:

Applying the rule (x - 5, y - 3) to the coordinates :

The coordinates are :

(2 - 5, -3 - 3) = (-3, -6)(2 - 5, 2 - 3) = (-3, -1)(5 - 5, -3 - 3) = (0, -6)(5 - 5, 2 - 3) = (0, -1)

As evidenced by the rule :

The rectangle is translated 5 units to the left and 3 units down.

Help me please I don’t know how to do it

Answers

Answer:

ask your teacher for help.

Step-by-step explanation:

PLSSS HELP I WILL AWARD BRAINLIEST

Answers

Answer:

A) f(x) = |x|

B) f(x) = -|x+3| + 3

Step-by-step explanation:

Absolute value functions

The general form of an absolute value function is f(x) = a|x-b| +c

a indicates the 'amplitude' or multiplier

b indicates horizontal shift

c indicates vertical shift

The turning point of f(x) = |x| is (0, 0)

a = y/x when b = 0 and c = 0

A) f(x) = |x|

Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0

We have the point (2, 2), thus a = 2/2 = 1

f(x) = a|x-b| + c

f(x) = |x|

B) f(x) = -|x+3| + 3

The turning point is at (-3, 3) b = -3 and c = +3

We have the point (3, -3), thus a = y/x = -3/3 = -1

f(x) = a|x-b| + c

f(x) = (-1) (|x-(-3)|) + (+3)

f(x) = -|x+3| + 3

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