**Answer:**

The answer is $2250.

**Step-by-step explanation:**

Just substitute 5 into anywhere in the equation where there is x and solve the equation from there.

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

hours.

1) 3

2) 5

3) 9

Tickets sold

1) 240

2) 400

3) 720

Yes 640 tickets were sold in 8 hours

Picture attached below, and it's not a rectangle. It's a pentagonsolve a and b

a)

The perimeter is given by

[tex]2x+3+4x+5+3x+15+40[/tex]b)

Then we simplify by summing similar terms we obtain that the expression of the perimeter is

[tex](2x+4x+3x)+(3+5+15+40)[/tex][tex]9x+63[/tex]2. we want to estimate the mean of a population. a random sample of subjects is selected and the sample mean is computed. what is the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8?

**Given,**

**Sample mean **= **±3 **of true mean

**Standard error **= **1.8**

Therefore,

**Required probability** of sample mean being within 3 units of the true mean is,

**P ( sample mean - 3 < mean < sample mean + 3 ) **

=** P [( sample mean - 3 ) - mean / 1.8 ] < mean - sample mean / 1.8 < [ ( sample mean + 3 ) - mean / 1.8 ]**

=** P ( - 1.67 < ∉ < 1.67)**

= P (∉ < 1.67) - P( ∉ < 1.67)

= 0.952 - 0.047

**= 0.905**

**Hence, the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8 is 0.905**.

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PLEASE HELP ! :)

1. G(X)=1/4x+1

what is g(-16)?

g(-16)=

In many cases, when we **evaluate functions,** we just have to replace *x* with a given value and **simplify the expression**.

[tex]g(x)=\dfrac{1}{4}x+1[/tex]

⇒ To solve for g(-16), plug in -16 as *x*:

[tex]g(x)=\dfrac{1}{4}(-16)+1\\\\g(x)=-4+1\\\\g(x)=-3[/tex]

Answerg(-16) = -3

Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold

the stock for d dollars and paid a flat fee of $15. Which expression below models

Tyrell’s net proceeds algebraically?

The **expression** that **models** Tyrell's **net proceeds** algebraically is d-(1.03ns + 15) .

In the question ,

it is given that ,

**Tyrell** bought n **shares** for s **dollars**

So the price Tyrell paid for shares = $ ns .

Tyrell also paid 3%** commission** ,

so the total cost price Tyrell paid for shares = price of share + commission

total **cost price **= ns + 3% of ns

= ns + 0.03ns ....as 3% = 0.03

= 1.03ns ...(i)

Tyrell sold the stocks for d dollars .

Tyrell also paid the **flat fee** of $15 .

So, the** selling price** for stocks = d-15 ......(ii)

The Tyrell's **Net Proceeds** can be calculated using the formula

Net Proceeds = Selling Price - Cost price

Substituting the values of selling price and cost price from (i) and (ii) ,

we get ,

Net Proceeds = (d-15)-(1.03ns)

= d-15-1.03ns

= d-(1.03ns + 15)

Therefore , the **expression** that models **Tyrell's net proceeds **algebraically is d-(1.03ns + 15) .

The given question is incomplete , the complete question is

Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.

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Find the sum of AP 35+29+23+....... as far as the 15th term

**Answer: The answer is y=6x. **

All of the following represent three multiplied by six except:

03x6

03-6

O3(6)

3:6

Help please

**Answer:**

Except the last one 3:6 because its not multiplied by six but divided. Therefore the correct answer is the last one

**Step-by-step explanation:**

hope it helps

Ling painted a picture of a local historic landmark for her history project. First, she painted a statue using a mix of black and white paint. Then, she painted a stone building using double the amount of black paint and double the amount of white paint. Which structure was a darker shade of gray?

Answer: Neither They were the same shade of Grey.

Step-by-step explanation:

it’s the right answer trust me

Color would be the same for both **statue **and **stone buildings**.

Let's, consider paint black as = x

and paint white as = y

If both the paints are mixed then paint z which is grey is formed.

Represented as,

x(black) + y(white) = z(grey)

Whereas, for the stone building double the **amount **of black and white colors are being used,

2x + 2y = 2z, coating of grey color would be also double.

Canceling 2 from both sides,

x + y = z

x(black) + y(white) = z(grey)

Therefore color would be the same for both statue and stone buildings.

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What is the value of |−13|?

**Answer:**

+ 13

**Step-by-step explanation:**

**Answer:**

13

**Step-by-step explanation:**

when you see the absolute value and the number is negative or positive it is just the whole number inside

The sum of an integer and 2 times the next consecutive integer is -13. Find the value of the greater integer.

**Answer:x+x+1=13**

**2x+1=13**

**2x=13−1**

**2x=12**

**x= **

**2**

**12**

****

** **

**x=6**

**x+1=6+1=7**

**Step-by-step explanation:yes**

Given that [tex]\alpha , \beta[/tex], roots of [tex]4x^{2} - x + 1 = 0[/tex], without finding the value of [tex]\alpha , \beta[/tex] ; evaluate

a. [tex]\beta x^{2} +\alpha x^{2} -\alpha \beta[/tex]

b. [tex]\frac{\alpha }{\beta } + \frac{\beta }{\alpha }[/tex]

Considering the **product **and the **sum **of the **roots **of the quadratic function, the **numeric value **of the expressions are given as follows:

**1. **[tex]\beta x^2 + \alpha x^2 - \alpha\beta = \frac{1}{4}(x^2 - 1)[/tex]

**2.** [tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{7}{4}[/tex]

A quadratic function is **defined **according to the following rule:

y = ax² + bx + c.

In which a and b are the **coefficients **of the equation.

Supposing that the equation has roots [tex]\alpha[/tex] and [tex]\beta[/tex], the **product **and the **sum **of the **roots **of the quadratic function are given as follows:

In this problem, the **equation **is:

4x² - x + 1.

Hence the **coefficients **are:

a = 4, b = -1, c = 1.

Then the **product **and the **sum **of the **roots **of the quadratic function are given as follows:

Then the **numeric values** for the expressions can be found as follows:

[tex]\beta x^2 + \alpha x^2 - \alpha\beta = x^2(\alpha + \beta) - \alpha\beta = \frac{1}{4}x^2 - \frac{1}{4} = \frac{1}{4}(x^2 - 1)[/tex]

For the **second **expression:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = \frac{\alpha^2 + \beta^2}{\alpha\beta} = 4(\alpha^2 + \beta^2)[/tex]

The **sum of the squares **of the roots is:

[tex]\alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta[/tex]

Hence:

[tex]\alpha^2 + \beta^2 = \frac{1}{16} - \frac{1}{2} = -\frac{7}{16}[/tex]

Then:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{28}{16} = -\frac{7}{4}[/tex]

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In the equation

2H₂ + 102 →→ 2H₂O

if you change the 2H₂ to 3H2 molecules and balance the equation, which statement is correct?

If you change the 2H₂ to 3H₂ molecules and balance the equation the equation will produce** three molecules **of **water**.

The provided** chemical equation** is,

2H₂ + O₂ → 2H₂O.

Changing 2H₂ with 3H₂

The chemical equation becomes,

3H₂ + O₂ → 2H₂O.

By doing this, the equation has become completely** imbalanced,**

So first we will balance it,

3H₂ +3/2O₂ → 3H₂O

Now, there will be **3 molecules** of **water formed.**

As we observe the reaction more closely, we can see that the number of atoms of all the elements are equal on both the sides of the reaction.

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The area of the compound shape below is 92 cm². Find the value of x.

Answer:

Step-by-step explanation:

help past due!

Multiply the polynomials (5a² + 2a − 7) and (3a² − a + 1). Simplify

the answer.

**Answer:**

C

**Step-by-step explanation:**

Use the distributive property to solve.

(5a²+2a-7)(3a²-a+1)

=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7

=15a⁴+a³-18a²+9a-7

one out of every 9 light bulbs is defective. What constant of proportionality relates defective bulbs to total bulbs?

the **constant of proportionality **that relates defective bulbs to total bulbs is 1 / 9.

We are given that 1 bulb out of every 9 bulbs is defective.

So, this means that if there is a total of 9 bulbs, then 1 bulb in it will be defective.

Let us assume:

**Total **bulbs = 9

So, this implies that:

Defective bulbs = 1

**Constant of proportionality **= Defective bulbs / Total bulbs.

**Substituting **the values in this, we get that:

**Constant of proportionality **= 1 / 9

Therefore, we get that, the **constant of proportionality **that relates defective bulbs to total bulbs is 1 / 9.

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Hey, could someone help me out on this?

answer:

$27.49 (blue)

$26.99 (yellow)

$27.49 (green)

34.92 (purple)

$27.49 (blue)

$26.99 (yellow)

$27.49 (green)

34.92 (purple)

Solve for x. 1/4+1/2+x=−3/4 Enter your answer as a fraction in simplest form in the box.

**Answer:**

yes!! finally a question i can solve:

so,

**Step-by-step explanation:**

Exact Form:

x = − 3/2

Decimal Form:

x = −1.5

Mixed Number Form:

x = -1 1/2

David, Eva and Farooq share a sum of money.

1/6

David gets

- of the money and Eva gets -

1

4

- of the money.

Farooq gets the rest of the money.

David gets £2.50

Work out how much money Farooq gets.

**Answer:**

Farooq gets ** £8.75**

**Step-by-step explanation:**

Let's represent the amounts obtained by David, Eva and Farooq as D, E and F to make things simpler. Let M be the total amount of money shared

D = 2.50 and represents 1/6 of the total amount of money(M)

So

M/6 = 2.50

Multiply both sides by 6 => M = 2.50 x 6 = £15

Eva gets 1/4th of this so E = 15 x 1/4 = £3.75

David gets £2.50

Together they get £2.50 + £3.75 = £6.25

The balance goes to Farook so F = 15 - 6.25 = £8.75

Write the slope-intercept form of the equation of each line given the slope and y-intercept. Slope = 3/5, y-intercept = 0

**Answer:y=3/5x**

**Step-by-step explanation:**

just plug 3/5 in and you don’t need to add the 0

If 2y+ 5x = 5 and 4y - x = 21, then what is the value of x + y ?

The **value **of **equation **(x + y) will be 1.

**What is substitution method?**

To find the value of any one of the **variables **from one equation in terms of the other **variable **is called the **substitution method.**

Given that;

The **equation **are;

2y + 5x = 5 ... (i)

4y - x = 21 ... (ii)

Now, Solve both the **equation **and find the value of x and y as;

Multiply by 2 in **equation **(i) we get;

4y + 10x = 10

Subtract above **equation **by (ii);

4y + 10x - (4y - x) = 21 - 11

11x = 11

x = 1

And, 2y + 5x = 5

**Substitute **x = 1;

2y + 5x = 5

2y + 5 = 5

2y = 0

y = 0

So, x + y = 1 + 0 = 1

Thus, The **value **of (x + y) will be 1.

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Which choice is the value of three over five raised to the second power?

three over twenty-five

three over ten

nine over twenty-five

six over seven

The value of three over five raised to the second **power** is **nine over twenty-five.**

From the question , we were given that three over five raised to the **second power** which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.

In this case , (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the **denominator.**

Therefore, the **third option** is correct.

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In Exercises 3 and 4, plot the points in a coordinate plane. Then determine whether

AB and CD are congruent.

3. A(-7, 1), B(-4, 1), C(3, -5), D(3, -2)

4. A(1, -1), B(1, 1), C(3, -4), D(5,-4)

AB is **congruent **to CD as an angle in front of them is congruent so, the sides are also congruent.

So, all coordinates are shown on the graph as follows:

(Refer to the image attached below)

Now, we can see that in the 4th quadrant, two triangles are formed that are ABE and CDE.

We can see that:∠AEB ≅ ∠CED (Inversely opposite Angles)

Then, we can conclude that:

AB ≅ CD (Angle in front of them is similar so, the sides are also similar)Therefore, AB is **congruent **to CD as an angle in front of them is congruent so, the sides are also congruent.

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ind the radius of a circle that has a circumference of 16.

r = 4

r = 8

r = 12

r = 16

8 units is the **radius** of the **circle **with a **circumference **of 16π.

A **circle **is simply a closed 2-dimensional curved shape with no corners or edges.

The **circumference **of a **circle **is expressed mathematically as;

C = 2 × π × r

Where r is radius and π is constant pi ( π = 3.14 )

Given the data in the question;

Circumference C = 16πRadius r = ?To find the **radius **of the **circle**, plug the given value into the **circumference formula **and solve for r.

C = 2 × π × r

16π = 2π × r

r = 16π / 2π

r = 16/2

Radius r = 8

Therefore, the **radius **of the **circle **is 8.

Option B is the correct answer.

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HELP PLEASE!! I’ll give

**The square root x^4= x^2**

Given mn, find the value of x.

(8x-7)°

(9x-28)°

**Answer: top: x= -15 bottom: x= -37 **

**Step-by-step explanation: First you need to get x by itself so for example on the top one you would do 8-8 to get x alone and then you would also do -7- 8 because whatever you do to one side you have to do to the other. **

**Hope this helped!!!**

A football team lost 14 yards on their first play then lost another 7 yards on the next play. What integer represents the total change in yards for the two plays?

**Answer:**

- 21

**Step-by-step explanation:**

They **lost** 14 yards, then lost and additional 7 more. You would simply add and make it a **negative** number due to the key word " **lost** ".

The equation would look like this: **-14 + ( -7 )**.

Another way to solve this equation is to multiply. **( + ) x ( - ) = -**.

Your equation will the look this this: **-14 - 7.**

Now you just solve.

Thus, your answer should be **- 21**.

*Hopes the helps!*

* Have a great day.*

Answer: -21

Step-by-step explanation:

.A football team will lose an additional 7 yards if they lost 14 on their first play.

. Since the first play resulted in a loss of 14 yards, the integers that reflect the overall change in yards for the two plays are negative.

.In the second play, we score 14 points but lose 7 yards, which is a loss of 7 points.

.Negative 14 + Negative 7 = Negative 21, which is the overall change in yards.

. Hence, the answer would be -21 yards.

. -21 would be the correct integer that will represent the the total change in yards for the two plays.

when playing roulette at a casino, a gambler is trying to decide whether to bet $ on the number or to bet $ that the outcome is any one of the possibilities . the gambler knows that the expected value of the $ bet for a single number is . for the $ bet that the outcome is , there is a probability of of making a net profit of $ and a probability of losing $. a. find the expected value for the $ bet that the outcome is . b. which bet is better: a $ bet on the number or a $ bet that the outcome is any one of the numbers ? why?

The answers to both the subparts with the help of **probability **are:

So, Item A:

The probability of earning $75 is 5/38.The likelihood of losing $15 is 33/38.The expected value is the total of each result times the associated probability, so:

[tex]E(X)=75 \frac{5}{38}-15 \frac{33}{38}=\frac{75(5)-15(33)}{38}=-3.16[/tex]The $15 wager should have a value of -3.16 dollars.

Item B:

The wager on a single number has an expected value of $-0.79 (or -$0.79).The best wager is a bet on a single number because it is higher than the expected value of the bet on multiple numbers.Therefore, the answers to both the subparts with the help of **probability **are:

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**The complete question is given below:**When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 34 or to bet $15 that the outcome is any one of the five possibilities 00 comma 0 comma 1 comma 2 comma or 3. The gambler knows that the expected value of the $15 bet for a single number is negative 0.79 cents. For the $15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3, there is a probability of StartFraction 5 Over 38 EndFraction of making a net profit of $75 and a StartFraction 33 Over 38 EndFraction probability of losing $15. a. Find the expected value for the $15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3. b. Which bet is better: a $15 bet on the number 34 or a $15 bet that the outcome is any one of the numbers 00 comma 0 comma 1 comma 2 comma or 3? Why?

< A and < B are supplementary angles. If m m < B= (2x+30), then find the measure of < A.

**Answer:**

**m<A = 50°**

**Step-by-step explanation:**

*supplementary angles add up to 180°*

m<B = 2x + 30

we don't know m<A, so we'll say the value of it is *x*

2x + 30 + x = 180°

3x + 30 = 180

3x = 150

x = 50

plug this value back in for x

m<B = 2(50) + 30 = 130

m<B = 130°

m<A = x = 50

**m<A = 50°**

to prove these are supplementary angles, 130 + 50 = 180

suppose that a large mixing tank initially holds 400 gallons of water in which 80 pounds of salt have been dissolved. pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. determine a differential equation for the amount of salt a(t) in the tank at time

The **differential equation** for the amount of salt A(t) in the tank at the time (dA / dT) / (A / 100) = 0, A(0) = 30

It is Given that a large tank holds 400 **gallons** of water, in which 80 ponds of salt have been dissolved, given that pure water is pumped into the tank at a rate of 8 **gallons**/min. here we have to find the **differential equation** for the amount of salt in the tank at the time when the solution is well stirred. we have to multiply both 400 **gallons** of water and pumped water at the rate of 8 gallons/min.

dA / dT = Rin - Rout

Rin = 0

Rout = A(t) / 400 * 8

= A / 50

So,

dA / dt = Rin - Rout

dA / dt = 0 - A /50

After solving the **differential equation** we get

A(0) = 30

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6. Find the equation for a parabola with vertex (5,-8) containing the point (1,1).

**Answer:**

[tex]y=\frac{9}{16}(x-5)^2-8[/tex]

**Step-by-step explanation:**

The equation in vertex form is [tex]y=a(x-5)^2-8[/tex].

Substituting in the coordinates [tex](1,1)[/tex] to solve for [tex]a[/tex],

[tex]1=a(1-5)^2-8 \\ \\ 1=16a-8 \\ \\ 9=16a \\ \\ a=9/16[/tex]

So, the equation is [tex]y=\frac{9}{16}(x-5)^2-8[/tex].

Which inequality is represented by the graph?
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