The profit y (in dollars) for a company for selling x games is represented by y=32x. Graph the equation. ANSWER BEFORE 11 FOr BOnUs PoINTS!!!

Answer:

3 or -3

Step-by-step explanation:

sqrt(9)

What number multiplied by itself will give you 9

3*3 =9

-3 * -3 =9

The square root of 9 is 3 or -3

Answer:

≈3318 miles per day....

Step-by-step explanation:

Answer:

.154

Step-by-step explanation:

There are 52 cards

There are 4 aces and 4  9's for a total of 8 cars

P (ace or 9) = number of aces or 9's / total

                   = 8/52 = 2 /13 =.153846154

To the nearest thousandth

                      = .154

Answer:

0.154

Step-by-step explanation:

We want to find the probability of drawing an ace or a 9.

P(ace or 9)= aces and 9s / total cards

There are 4 aces and 4 9s in a standard deck of cards. This means there is a total of 8 aces and 9s.

In a standard deck of cards, there is a total of 52 cards.

P(ace or 9)= aces and 9s / total

aces and 9s= 8

total= 52

P(ace or 9)= 8/52

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 4.

P(ace or 9)= (8/4) / (52/4)

P(ace or 9)= 2/13

P(ace or 9)= 0.153846153846154

Round to the nearest thousandth. The 8 in the ten thousandth place tell sus to round the 3 up to a 4.

P(ace or 9) = 0.154

The probability of drawing an ace or 9 is 0.154

Answer:

15 cartons of Hammers were ordered

Step-by-step explanation:

Cost per carton of Hammer  = $100

Cost per carton of Wrenches = $150

Total Carton = 25

Total Cost = $3,000

Required

Determine the numbers of Hammer and Wrenches

Represent the hammers with H and the wrenches with W

So;

[tex]H + W = 25[/tex]

and

[tex]100H + 150W = 3000[/tex]

Make W the subject of formula in the first equation:

[tex]H + W = 25[/tex]

[tex]W = 25 - H[/tex]

Substitute 25 - H for W in the second equation

[tex]100H + 150(25 - H) = 3000[/tex]

[tex]100H + 3750 - 150H = 3000[/tex]

Collect Like Terms

[tex]100H - 150H = 3000 - 3750[/tex]

[tex]-50H = -750[/tex]

Divide both sides by -50

[tex]\frac{-50H}{=50} = \frac{-750}{-50}[/tex]

[tex]H = \frac{-750}{-50}[/tex]

[tex]H = 15[/tex]

Hence, 15 cartons of Hammers were ordered

Answer:

J = 32

E = 0

Step-by-step explanation:

E is the number of hours for the Escobar family

J is the number of hours for the Johnson family

E + J = 32

E * 20 + J * 30 = 960

Multiply the first equation by -20 so we can use elimination

-20 E -20 J = -640

Add this to the second equation

E * 20 + J * 30 = 960

-20 E -20 J = -640

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

         10 J = 320

Divide by 10

J = 32

Now find E

E + J = 32

E  + 32 = 32

E = 0

Answer:

x = 1.5

Step-by-step explanation:

5(4x-10)+10x=4(2x-3)+2(x-4)

Distribute(5)

20x-50+10x=4(2x-3)+2(x-4)

Distribute(4)

20x-50+10x=8x-12+2(x-4)

Distribute(2)

20x-50+10x=8x-12+2x-8

Combine like terms

30x-50=10x-20

Subtract(10x)

20x-50=-20

Add(50)

20x=30

Divide(20)

x = 1.5

Hope it helps <3

Answer:

Step-by-step explanation:

5 ( 4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

Expand the terms

That's

20x - 50 + 10x = 8x - 12 + 2x - 8

Simplify

30x - 50 = 10x - 20

Group the constants at the right side of the equation

That's

30x - 10x = - 20 + 50

20x = 30

Divide both sides by 20

x = 3/2

Hope this helps you

Answer:

9x9= 81

3x3x3x3=81

81 to the first power.

Step-by-step explanation:

I hope this helps in any way:)

Answer:

27

Step-by-step explanation:

First, we need to find x. We are given the perimeter, which is 2l + 2w, so from there, we have an equation of 2(4x-1) + 2(3x+2) = 100. By working through it, we get that x = 7. We're asked to find WX, so plug 7 into 4x - 1 and get 27.

Answer:

Step-by-step explanation:

Perimeter of rectangle is 2(l) + 2(w).

The perimeter is given 100 units.

2(4x-1) + 2(3x+2) = 100

Solve for x.

8x-2+6x+4=100

14x+2=100

14x=98

x=7

Plug x as 7 for the side WX.

4(7) - 1

28-1

= 27

Answer:

$0.26

Step-by-step explanation:

To find the unit price, divide the cost by the amount you have.

$2.86/11 = $0.26

The unit price is $0.26.

Answer:

x = 22

<a = 88°

<b = 92°

Step-by-step explanation:

To solve for x, <a, and <b, we'd need to recall some of the properties of parallel lines, then apply them in solving this problem.

To find the value of x, recall that consecutive interior angles are supplementary. (5x - 18), and (3x + 22) are consecutive interior angles. Therefore:

[tex] (5x - 18) + (3x + 22) = 180 [/tex]

Solve for x

[tex] 5x - 18 + 3x + 22 = 180 [/tex]

[tex] 5x + 3x - 18 + 22 = 180 [/tex]

[tex] 8x + 4 = 180 [/tex]

Subtract 4 from both sides:

[tex] 8x + 4 - 4 = 180 - 4 [/tex]

[tex] 8x = 176 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{176}{8} [/tex]

[tex] x = 22 [/tex]

=>Find <a:

According to the properties of parallel lines, alternate interior angles are equal. Therefore:

<a = 3x + 22

Plug in the value of x

<a = 3(22) + 22 = 66 + 22

<a = 88°

=>Find <b:

According to the properties of parallel lines, corresponding angles are said to be equal. Therefore,

<b = 5x - 18

Plug in the value of x to find <b

<b = 5(22) - 18

<b = 110 - 18 = 92°

Answer:

they divied the turkey into 14 pices

Step-by-step explanation:

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]z = \dfrac{x - 170000 }{16500}[/tex]

Now;

[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]

[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]

[tex]{T- 170000}<- 2.06({16500})[/tex]

[tex]{T- 170000}< - 33990[/tex]

[tex]{T}< - 33990+ 170000[/tex]

[tex]{T}<136010[/tex]

Thus; the guarantee period should be less than 136010 miles

Answer: y > 2x + 1

Step-by-step explanation:

In the graph first, we can see two things:

The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:

y > f(x)

Now, in the line we can see that when x = 0, y = 1.

So the linear equation must be something like:

f(x) = a*x + 1

The only one that has an y-intercept equal to 1 is y > 2x + 1

Answer:

C or y>2x +1

Step-by-step explanation:

edge

Answer:

monomial

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ  ← as required

Answer:

SOHCAHTOA

Step-by-step explanation:

Usually, in American schools, the term "SOHCAHTOA" is used to remember them. "SOH" is sine opposite hypotenuse, "CAH" is cosine adjacent hypotenuse, and "TOA" is tangent opposite adjacent. There is also Csc which is hypotenuse/opposite, Sec which is hypotenuse/adjacent, and Cot is adjacent/opposite.

Answer: SOHCAHTOA

Step-by-step explanation:

The pneumonic I learned is SOH-CAH-TOA.  it says that Sin = opposite/hypotenuse.  Cos = adjacent/hypotenuse.  Tan = opposite/adjacent.

Hope it helps <3

Answer:

4d/k or [tex]\frac{4d}{k}[/tex]

Step-by-step explanation:

first multiply both sides by four

you will have 4d=fk

then divide by k

4d/k=f

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

=========================================

Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5  cross multiply

1.5x = 94.5

x = 94.5/1.5  dividing both sides by 1.5

x = 63

-----------

An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

Answer:

True

Step-by-step explanation:

Answer:

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

and y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = [tex]\frac{2\times 2+(-8)\times 5}{2+5}[/tex]

  = [tex]-\frac{36}{7}[/tex]

y = [tex]\frac{2\times 5+5\times 6}{2+5}[/tex]

  = [tex]\frac{40}{7}[/tex]

Therefore, coordinates of pint B will be,

[tex](-\frac{36}{7},\frac{40}{7})[/tex]

Answer:

what

Step-by-step explanation:

HI MATE

Answer:

[tex]\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex](f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

24

Step-by-step explanation:

The computation of the number  of bacteria in the sample after 18 hours is shown below:

We assume the following things

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

[tex]A = Pe^{rt}[/tex]

[tex]= 4\times e^{18\times0.1}[/tex]

[tex]=4e^{1.8}[/tex]

[tex]= 4\times6.049647464[/tex]

= 24

We simply applied the above formula to determine the number of bacteria after the 18 hours

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

                = 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

                = 0.00276 + 0.95712

                = 0.95988

Answer:

[tex]\boxed{x\geq -99}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} \geq -33[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 3.[/tex]

[tex]\frac{x}{3} (3) \geq -33(3)[/tex]

[tex]x\geq -99[/tex]

Answer:

[tex]\boxed{\red{x \geqslant - 99}}[/tex]

Step-by-step explanation:

[tex] \frac{x}{3} \geqslant - 33 \\ x \geqslant - 33 \times 3 \\ x \geqslant - 99[/tex]

hope this helps you!

Answer:

√468 = 6√13

Step-by-step explanation:

ABCDEF is a regular hexagon of side length 6.

A'B'C'D'E'F' is the reflection of ABCDEF across BC.

The line FE' is the line from F to E'.  It is also the hypotenuse of the right triangle FEE'.  FE = 6, and EE' = 4a, where a is the apothem of the hexagon.

To find the apothem, draw the 30-60-90 triangle formed by the apothem and the radius (essentially 1/12th of the hexagon).

Using properties of a 30-60-90 triangle:

a = (6/2)√3

a = 3√3

4a = 12√3

Using Pythagorean theorem:

x² = (6)² + (12√3)²

x² = 36 + 432

x = √468

x = 6√13

Answer:

C. If 75% of Americans still favor mandatory testing this year, then there is a 3% chance that poll results will show 72% or fewer with this opinion.

Step-by-step explanation:

Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 1000 Americans is under test. It is the result of the poll that 75% still favor mandatory testing.

Answer

[tex]P= 0.144[/tex] ways

the coin can land tails either exactly 8 times or exactly 5 times in

[tex]0.144[/tex] ways

Step by step explanation:

THis is a binomial distribution

Binomial distribution gives summary of the number of trials as well as observations as each trial has the same probability of attaining one particular value.

P(9)=(14,9).(0.5)⁹.(0.5)¹⁴⁻⁹

p(3)=(14,3).(0.5)⁹.(0.5)¹⁴⁻³

p=(9)+p(3)

p=C(14,9)(0.5)¹⁴ + C(14,3). (0.5)¹⁴

P= (0.5)¹⁴ [C(14,9) + C(14,3)]

P= (0.5)¹⁴ [2002 * 364]

P= 1/16384 * (2002 +364)

P= 91091/2048

P= 0.144

Hence,the coin can land tails either exactly 8 times or exactly 5 times in

[tex] 0.144[/tex] ways