Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =

Answer:

6 minutes more

Step-by-step explanation:

Time = Distance ÷ Speed

Time = 30miles ÷ 60mph

Time = 30mins

Time = 30miles ÷ 50mph

Time = 36mins

36mins - 30mins = 6mins difference

Answer: 6 minutes

Step-by-step explanation:

Time = Distance / speed

When speed is 60 mph

Time = 30/60 = 1/2 hour = 30 minutes

When speed is 50 mph

Time = 30/50 = 3/5 hour = 36 minutes

Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

Answer:

Step-by-step explanation:

If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years.  Then:

A = ($240,000)(1 + 0.04)^12      (that's 12 years past 2008)

   = ($240,000)(1.04)^12 = $384,247.73

Growth rate:  4%, or 0.04

Independent variable:  time (t)

Dependent variable:  appreciated value of the house, A

Domain:  [0, 30) (assuming that the house is sold within 30 years)

Range:  [$240,000, infinity)   (the house will never sell for an infinite price)

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

Answer:

∠x = 83°

Step-by-step explanation:

Since ∠x and ∠y are supplementary ∠s so they add up to 180°

So,

∠x + ∠y = 180

Where ∠y = 97°

∠x + 97° = 180

∠x = 180-97

∠x = 83°

Answer:

it's y=5

Step-by-step explanation:

Answer:

The correct answer is -5 not 5.

Answer:

Step-by-step explanation:

[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]

[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]

Answer:

i think its c

Step-by-step explanation:

d looks even if that makes sense

Answer:

C cannot be represented by a linear function

Step-by-step explanation:

We can draw a line to represent the points, then it would be a linear functions

A,B and D can be represented by a linear function

C is a curve

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

A, B

Step-by-step explanation:

Point C is greater than 4 because it is at 6.

6 is greater than 4.

Point A is less than Point B, -8 is less than 4.

Answer:

0.16666666666667

Step-by-step explanation:

Let me know if this is correct.

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]

Answer:

3.5

Step-by-step explanation:

0+1+2+3+4+5+6+7=28

28/8=3.5

Answer:

x=6 the angle =88

z=92

Step-by-step explanation:

find x

92+11x+22=180

114+11x=180

11x=180-114

x=66/11

x=6 the angle is 11(6)+22=66+22=88

find z=

z+88=180

z=180-88=92

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

https://brainly.com/question/21286835

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Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…

Step-by-step explanation:

Answer:

150 m

Step-by-step explanation:

Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,

1. Find the diameter of the circle, which is also 150m

2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)

If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,

75 + 75 = 150m

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer:

B is the answer.

Step-by-step explanation:

[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]  

[tex]\sqrt[4]{81^{5} }[/tex] =  [tex]81^{\frac{5}{4} }[/tex]

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER

Answer:

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127

Step-by-step explanation:

The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4  + 2 + 5 = 127

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.

Answer:

k = ⅕  

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4)     = a point on the line

(3k,0)   = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

Answer: 16 more seniors than juniors stay at the after-school program

Step-by-step explanation:

50 * 60% = 50 * .6 = 30

30 * 80% = 30 * .8 = 24

50 - 30 = 20

20 juniors and 30 seniors in total

———————————————

20 * 40% = 20 * .4 = 8

24 - 8 = 16

Answer:

16 more seniors stay after school or

Step-by-step explanation:

50/kids

Answer:

D) 0

Step-by-step explanation:

In a ║gm, opposite sides are parallel and equal.

So,

RS = UT

=> x+5 = 2x+5

=> 2x-x = 5-5

=> 2x = 0

=> x = 0

Answer:

Step-by-step explanation:

i think 0

Answer:

The additive inverse of the polynomial  being subtracted is -0.612-8+181

Step-by-step explanation:

Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)

Now the polynomial being subtracted : (0.612 + 8 - 181)

Additive inverse : The number in the set of real numbers that when added to a given number will give zero.

So, Additive inverse of 0.612 = -0.612

Additive inverse of 8 = -8

Additive inverse of -181 = 181

So, The additive inverse of polynomial being subtracted : -0.612-8+181

So, Option B is true

Hence the additive inverse of the polynomial  being subtracted is -0.612-8+181

Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.

⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010