Calculate the length of line AB

Answer:

12

Step-by-step explanation:

The average rate of change for f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 3 ] , then

f(b) = f(3) = 27 ← value of y from table for x = 3

f(a) = f(1) = 3 ← value of y from table for x = 1

average rate of change = [tex]\frac{27-3}{3-1}[/tex] = [tex]\frac{24}{2}[/tex] = 12

Answer:

i solved for t and got

t= -3, -12

Step-by-step explanation:

Answer:

t = - 12, t = - 3

Step-by-step explanation:

Given

t² + 15t = - 36 ( add 36 to both sides )

t² + 15t + 36 = 0 ← in standard form

(t + 12)(t + 3) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 12 = 0 ⇒ t = - 12

t + 3 = 0 ⇒ t = - 3

Answer:

25,120 sq. metres

Step-by-step explanation:

Find the diagram attached

Lateral surface area = πrl

r is the radius

l is the slant height

Given

r = 160/2 = 80m

l = √r²+h²

l = √80²+60²

l  = √6400+3600

l = √10,000

l = 100cm

Lateral surface area = 3.14 * 80 * 100

Lateral surface area = 25,120 sq. metres

Answer:

[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2

Step-by-step explanation:

We can see that this is a 45-45-90 triangle

refer to the image below to see what that means

we can see that (in the image) 11=x√2

which means that x= 11/√2

to rationalize this fraction we mulitply both sides by √2 to get

[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2

Answer:

Step-by-step explanation:

x = [tex]\frac{11\sqrt{2} }{2}[/tex]

Answer:

17

Step-by-step explanation:

25 + = 42

42 - 25

= 17

Answer:2.77*10^-8

Step-by-step explanation:

8.89*10^-7/32.0

The capacitance of the capacitor is approximately 2.78 x 10⁻⁹ Farads (F).

The capacitance of a capacitor can be calculated using the formula:

C = Q / V

Where C represents the capacitance, Q represents the charge stored in the capacitor, and V represents the voltage applied to the capacitor.

In this case, we are given that the charge stored in the capacitor is 8.89 x 10⁻⁷ C and the voltage applied is 32.0 V. Plugging these values into the formula, we get:

C = (8.89 x 10⁻⁷ C) / (32.0 V)

Simplifying the expression, we find:

C ≈ 2.78 x 10⁻⁹ F

The Farad is the SI unit of capacitance, representing the ability of a capacitor to store charge per unit voltage.

To learn more about capacitance click on,

https://brainly.com/question/24346457

#SPJ2

Answer:

the answer is 6x+16y+8

Answer:

Hello! answer: 27/125

Step-by-step explanation:

3/5 to the power of 3 is 27/125 because

3/5 × 3/5 × 3/5 = 27/125

Answer:

I saw the first question but it would not let me answer so...yea heh

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then

P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3

Answer:

a

Step-by-step explanation:

First convert 3/5 to a percentage.

3/5 is 60% and 20% of the students chose Hulk. That leaves 20% who chose Iron Man. The simplest form of 60:20:20 is 6:2:2.

Answer:

Angle A = 46

Step by Step Explanation:

Sin(A) = [tex]\frac{18}{25}[/tex]

A = Sin⁻¹ ([tex]\frac{18}{25}[/tex] )

A = 46.05 or 46

Hope this helps!

Answer:

2x

Step-by-step explanation:

i think this is correct, I'm not 100% sure that it is because the question was a little confusing.

ANSWER:

It would be 6x^3.

PRIOR NOTE:

For this question, it's slightly unclear regarding the formatting with it, but in here I'm going to assume that you've asked what is:

-2x * 3x * -x

when simplified. If it was something else, then the final answer would be different.

BACKGROUND:

To start, when multiplying two terms together, the variable will become squared or to the second power. For example:

2x * 2x = 4x^2

PROCESS:

With this question, it is asking for -2x * 3x * -x, though lets just start with the -2x * 3x part:

-2x * 3x = -6x^2

Now, finishing it off with the * -x part.

-6x^2 * -x = 6x^3

It goes to the third power, because now you have multiplied 3 x's together. The answer is also now positive since a negative * a negative = a positive.

With this, the final answer is 6x^3.

Answer:

755887578787-∵°

Step-by-step explanation:

Answer:

y = 4/5x + 32/5

Step-by-step explanation:

(-3,4) and (2, 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(8-4)/(2+3)

m= 4/5

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 4/5(x + 3)

y - 4 = 4/5x + 12/5

y = 4/5x + 32/5

Answer:

See Explanation

Step-by-step explanation:

Required

The meter reading in ccf

The question is incomplete, as the  meter readings is not given. So, I will solve using an assumed value for the meter readings.

Let

[tex]x\ m^3 \to meter\ readings[/tex]

The readings in ccf is:

[tex]Reading = \frac{x}{2.832}[/tex]

Now, assume the value of x is 25; The readings will be:

[tex]Reading = \frac{25}{2.832}ccf[/tex]

[tex]Reading = 8.83\ ccf[/tex]

Answer:

Ok this time sense you want explanation i give you it your welcome. -7 1/2 reduces to -15/2 and -15/2 + 2 = -5 1/2 or -11/2

Answer:

-Exact form: 11/2

Answer:

4 [tex]1/2[/tex] cups are needed for 3 batches.

Step-by-step explanation:

1 1/2 = 1.5

3*1.5 = 4.5

4.5 = 4 1/2

Have a nice day!

Answer:

This is hard

Step-by-step explanation:

Answer:

the equation is y=80-x

hope it helps

Answer:

[tex]d=10[/tex]

Step-by-step explanation:

Pythagorean theorem:

[tex]d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}[/tex]

Alternative:

[tex]\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}[/tex]

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths [tex]x-x-x\sqrt{2}[/tex], where [tex]x\sqrt{2}[/tex] is the hypotenuse. Since this triangle's hypotenuse is [tex]10\sqrt{2}[/tex], its sides are [tex]10-10-10\sqrt{2}[/tex].

Answer: 18) the degree is 45.57 20) 25.01 degree (I am not sure if you need to round up the degree but if you do round it up you will get 46 degree for 18 and 25 degree for 20

Answer:

y = 1/4x + 1/2 and x = -2 +4y

Step-by-step explanation:

Solving it in a way that x/4 is a fraction and not division so you would make that 1/4x. y = x/4 +1/2 x/4 is 1/4x so then you subtract 1/2 from both sides to get y - 1/2 = 1/4x. You can then divide 1/4 on both sides. -1/2 divided by 1/4 is -2 and 1/4y. This will get your answer of x = 1/4y -2 for x. Y is just 1/4x + 1/2

Answer:

a

Step-by-step explanation: