What is the distance between the points (-4 , -12) and (-4 , 20) in the coordinate plane?

Answer:

D. 12

Step-by-step explanation:

93/3 = 31

155/5 = 31

248/8 = 31

In every case, you see that the number of pages is 31 times the number of hours.

For 372 pages, the number of hours is 372/31 = 12

Check: 372/12 = 31

Answer: D. 12

Answer:

45units²

Step-by-step explanation:

Triangle area = (1/2)(base length)(perpendicular height)

= (1/2)(6)(15)

=3(15)

=45units²

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Answer:

  -368.8 ft

Step-by-step explanation:

distance = velocity × time

Here, we'll use a negative for speed downward, and positive for speed upward.

  elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft

  elevation = -368.8 ft

Answer:

one

Step-by-step explanation:

Answer:  

199 yr

Step-by-step explanation:

Answer:

199 years

Step-by-step explanation:

Hope it helps u

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Answer:

Angle of elevation = 21.167°

Step-by-step explanation:

Given:

Horizontal distance cover by rover = 180 m

Vertical distance cover by rover = 65 m

Find:

Angle of elevation

Computation:

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover

⇒ Sin θ = 65 / 180

⇒ Sin θ = 0.3611

⇒ Sin⁻¹ (0.3611) = 21.167°

Angle of elevation = 21.167°

The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.

A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.

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Answer:

2,3,5

Step-by-step explanation:

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

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

Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.

Since Diana always spends more minutes running than lifting weights. Hence:

r = w + 12

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

Find out more on equation at: https://brainly.com/question/2972832

Answer:

x ≈ 80.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{300}[/tex] ( multiply both sides by 300 )

300 × tan15° = x , then

x ≈ 80.4 ( to the nearest tenth )

Answer:

The graph shows a proportional relationship because t=50, and that pattern follows.

Step-by-step explanation:

The graph shows a proportional relationship because t=50, and that pattern follows.

The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.

The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, ​considering it for the car,

[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]

In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.

It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.

Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

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Answer:

D. 2

Step-by-step explanation:

The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.

Answer:

sorry i need more points

Step-by-step explanation:

Answer:

m = -4/5

Step-by-step explanation:

We need to find the slope of the line that passes through the points (3, 1) and (-2,5).

The slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = 3, x₂ = -2, y₁ = 1 and y₂ = 5

Put all the values,

[tex]m=\dfrac{5-1}{-2-3}\\\\=\dfrac{4}{-5}\\\\=\dfrac{-4}{5}[/tex]

So, the correct option is (b).

Answer:

( 4, 11 ) , ( - 4, 27 )

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = - 2x + 19

x² - 2x + 3 = - 2x + 19

x² - 16 = 0

( x + 4 )( x - 4 ) = 0

[tex]x_{1}[/tex] = - 4

[tex]x_{2}[/tex] = 4

f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27

[tex]y_{1}[/tex] = 27

f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11

[tex]y_{2}[/tex] = 11

( 4, 11 ) , ( - 4, 27 )

Answer: (3,-3)

Step-by-step explanation:

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No

Answer:

a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3

Step-by-step explanation:

volume of cone=(1/3)π(r^2)*h

a) 8.2 in^3

regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3

b) 25.8 in^3

waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3

c) 17.6 in^3

waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3

Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60

Answer:

523.6 m³

Step-by-step explanation:

The polyhedron is an oblique cone

Volume of oblique cone = ⅓πr²h

r = x = 5 m

h = y = 20 m

Volume = ⅓*π*5²*20

Volume = ⅓*π*25*20

Volume = 523.598777 ≈ 523.6 m³ (nearest tenth)

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

1

3814697265625

Decimal Form:

2.62144 ⋅ 10 / 13

Step-by-step explanation:

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Answer:

  e. no solution

Step-by-step explanation:

You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.

__

The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.

Answer:

60 units^2

Step-by-step explanation:

area of triangle=base*height/2=8*15/2=120/2=60 units^2

Answer:

The answer would be 60 units ^2

Step-by-step explanation:

To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

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Answer:

C. 0.10

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes to the city playoffs

Event B: Goes to the state playoffs.

In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.

This means that [tex]P(A) = 0.2[/tex]

The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.

This means that [tex]P(B|A) = 0.5[/tex]

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]

The correct answer is given by option C.

Answer:

24

Step-by-step explanation:

85.77-62.396 estimated by rounding each number to the nearest whole number is 24. I got this by first rounding 85.77 to 86. I then rounded 62.396 to 62. Next, I did 86-62= 24.

So, the answer is 24.

Answer:

23.000

Step-by-step explanation:

8-6=2

5-2=3

So you know that 23.000 is the roaded answer, you can just ignore the digits behind the decimal point in order to round

Answer:

2.5x = 180

Step-by-step explanation:

106 ° + X° = 180 °  

Solving the above

X° = 180 ° - 106°

X° = 74°

Therefore the value of X° is 2.5°.

B is the correct option

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Answer:

  (d)  x-4

Step-by-step explanation:

If we assume your answer choices are ...

  (a) 5 -x = 5 -4 = 1

  (b) 1/2x = 1/2(4) = 2

  (c) x +1 = 4 +1 = 5

  (d) x -4 = 4 -4 = 0

Then the last choice (d) x -4 has the smallest value at x=4.