What is this it’s hard to understand

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]

So for f(x) = x² on [1, 5], the AROC of f is

[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]

Answer:

C=31.4mm

Step-by-step explanation:

Circumfrence formula: π*diameter

diameter =10mm (picture)

C=10mm*3.14

C=31.4 mm

Answer:

31.42

Step-by-step explanation:

use the formula C=2πr

Answer:

4(2k + j) = 8k + 4j

Step-by-step explanation:

4(2k + j)

Distribute in the 4.

4 * 2k + 4 * j

Multiply 4 and 2k.

8k + 4 * j

Multiply 4 and j.

8k + 4j

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

First, multiply by expand.

→ 4*2k=8k

→ 4*j=4j

Rewrite the problem down.

= 8k+4j

[tex]\Longrightarrow: \boxed{\sf{8k+4j}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

differentiation

Step-by-step explanation:

maths class

Answer:

1. Reflection across y=0

2. Shifted 6 units right

Answer:

Step-by-step explanation:

A translation of 6,-6  followed by a rotation of 180 degrees

Answer:

17963.13

Step-by-step explanation:

Answer

-4=lnx

Step-by-step explanation:

So if you raise both side to the ln then the e's cancel out and you are left with lnx=-4

another way to think about it is this:

Answer:

y=14,x=8

Step-by-step explanation:

We know that in congruent triangles, angle measures and side lengths are equal.

Therefore <b=<e and AB=DE

80=6y-4

84=6y

y=14

3x-y=10

3x-14=10

3x=24

x=8

Answer:

98 = 2w + 2L,

L = 3w

Step-by-step explanation:

Use the perimeter formula:

2) Perimeter = 2w + 2L (where w is the width and L is the length)

Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

Perimeter is equal to 98 so,

98 = 2w + 6w = 8w

W = 98/8

Therefore w is 12.25, and L is 36.75

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Explanation:

In this case,

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer:

The answer is B, [3,10].

Step-by-step explanation:

Answer:

Hence, the height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is

Substitute B=50.76,  in above formula.

Hence, the height of the trapezoidal base is 7.2 ft.

Answer:

x = 14,641

Step-by-step explanation:

[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]

Answer:

96

Step-by-step explanation:

First solve (10-7)

Then use 21 and ÷ it by 3

Add 89 + 7 and then you'll get your answer

[tex]y = 14r^2 + 70r + 72\\\text{let}\ y = 0\\12r^2 + 70r + 72 = 0\\6r^2 + 35r + 36 = 0\\(2r + 9)(3r + 4)\\[/tex]

Answer:

B

Step-by-step explanation:

17<9 + x

group like them

17-9 < x

the sign changes due to the negative

8>x

Answer:

x = 15 , y = 15√(2)

Step-by-step explanation:

The triangle is isosceles where two angles are the same which mean two sides are also the same.

x = 15°

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + x^2 = y^2

15^2 + 15^2 = y^2

225 + 225 = y^2

450 = y^2

y = √(450) = 15√(2)

Answer:

x=15 and y=15root2

Step-by-step explanation:

tan45=p/b

1=x/15

x=15

again for right angle trangle

h=root (p+b)

=15root2 ans

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.

For the given situation,

The diagram shows the cone A and the cylinder B.

Cone A has the radius r and the slant height as h.

Cylinder B has the radius r and the height as h.

The lateral surface area of cone is [tex]\pi rh[/tex]

The lateral surface area of cylinder is [tex]2\pi rh[/tex]

1/2 × lateral surface area of cylinder B,

⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]

⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.

Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

Learn more about lateral surface area here

https://brainly.com/question/11385509

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Answer:

768 Square Inches

Step-by-step explanation:

10x18 = 180 (2 rectanlge faces)

12x8 = 96 (2 triangles)

12x18 = 216 (bottom face)

216 + 96(2) + 180(2) =

768

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

Answer:

5/12

Step-by-step explanation:

The odds for the die are 5 positive out of 6 possible outcomes

-- 2,3,4,5,6 are the positive outcomes - the ones you want - but there are a total of 6 outcomes or ways the die could land

The odds for the coin are 1 positive outcome out of 2 possible outcomes (heads or tails)

Once you have 5/6 for the die and 1/2 for the coin, you multiply them together.

The probability that a randomly selected employee has received the 5-year gift is 39.29%

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

2. The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

1. The expected height for someone with a femur length of 65 centimeters.

Doesn't make sense, that would be height value when centimeters = 65.

2. The change in expected height for every one additional centimeter of femur length.

Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.

3. The femur length for someone with an expected height of 2.5 centimeters.

Doesn't make sense, the linear relationship relies on the femur length to get the height.

4. The change in expected femur length for every one additional centimeter of height.

Doesn't make sense, again, the linear relationship relies on the femur length.

The Blue line is the translate in the direction of red line by,and therefore has equation y=3(x-4)+5