Given a || b , and c is not parallel to a or b, which statements must be true? a 1/2 3 / 4 Select each correct answer b . 5/6 7/8 mZ2 = m_7 9/10 C m27 = m_10 11 / 12 mZ8 = m29 m24 = m28

a) g(x) = 10 + 0.5x

b) 17 days

Let the number of days be represented by x

Let the intial height of the zucchini plant be g₀

g₀ = 10 cm

Size of growth per day = 0.5 cm

Let the growth after x days be represented by g(x)

a) The rule that represents the function is therefore:

g(x) = g₀ + 0.5x

g(x) = 10 + 0.5x

b) After how many days will the Zucchini pant be 0.185 meters tall

That is g(x) = 0.185 meters

since 1 meter = 100 cm

g(x) = 0.185 x 100 cm

g(x) = 18.5 cm

Thereofre substitute g(x) = 18.5 into the equation g(x) = 10 + 0.5x

18.5 = 10 + 0.5x

18.5 - 10 = 0.5x

0.5x = 8.5

x = 8.5 / 0.5

x = 17

The zucchini plant will be 0.185 meters tall after 17 days

Solution

otal number of cCustomer = 11 + 9 + 11 + 5 + 5 + 1 + 3 = 45

Let A denotes the event that the Customer waited for at least 12 minutes

Let B denotes the event that the Customer waited between 8 and 15 minutes

We want to find

hus, the probability is 0.556

Option D

Answer: 18 fishes

Step-by-step explanation:

y=0.40(y+g)(2)

g-6=0.40(g-6)+0.40g

=0.40g-2.4+0.40g

=3.6/0.2

g=

Answer: h = b/A

Explanation: If i hit 5 out of 10 balls thrown, my batting average is 2.

.5 = 5/10.

If my batting average is .5, and 10 balls were thrown, I only hit half or 5 of them. 5 = 10/.5

Answer:

A. 1 1/2 cubic inches

Explanation:

We are told that the side length of the cube is 1/8 of an inch. Furthermore, we are also told that the rectangular prism fits 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height. This means the measures of the dimensions of the prism are

Therefore, the volume of the prism is

Hence, the volume of the prism is 1 1/2 cubic inches

Parent function:

Transformations:

a indicates a reflection acrross x-axis (if it is a<0) and/or a stretch or shrink

h indicates a horizontal translation

k indicates a vertical translation

As you have:

The mean and the average values are the same. They represent a dataset by calculating the central value.

The range can be understood as the variation of the data. The higher the range, the wider the variation.

From the table, we can see the average temperature of Rio de Janeiro is higher than in Caracas.

We can also see the variation of the temperature is higher in Caracas than in Rio de Janerio.

This corresponds to choice A.

The amount that a $90,000 loan cost Lauren than Demarcus will be $8280.

From the information, Demarcus and Lauren each take out a $90,000 loan for a new condo and each has to repay the loan in 10 years. It should be noted that 10 years in months will be:

= 10 × 12 = 120 months

The difference in the amount paid as a result of the credit score will be:

= ($840 × 120) - ($771 × 120)

= $100800 - $92520

= $8280

Therefore, the amount is $8280.

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[tex]S=4+64t-16t^2\implies \stackrel{\textit{at a height of 32}}{32=4+64t-16t^2}\implies 16t^2-64t-4+32=0 \\\\\\ 16t^2-64t+28=0\implies 4(4t^2-16t+7)=0\implies 4t^2-16t+7=0 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4}t^2\stackrel{\stackrel{b}{\downarrow }}{-16}t\stackrel{\stackrel{c}{\downarrow }}{+7}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]t= \cfrac{ - (-16) \pm \sqrt { (-16)^2 -4(4)(7)}}{2(4)} \implies t = \cfrac{ 16 \pm \sqrt { 256 -112}}{ 8 } \\\\\\ t= \cfrac{ 16 \pm \sqrt { 144 }}{ 8 }\implies t=\cfrac{16\pm 12}{8}\implies t= \begin{cases} \frac{1}{2}&\textit{on the way up}\\\\ \frac{7}{2}&\textit{on the way down} \end{cases}[/tex]

Answer: a. 291/2020 b. 77/465 c. 874/2020 d.145/376 e. 41/157 f. 41/157 g. 53/157 h. 433/465 I. 335/376

Step-by-step explanation:

A. 291- column of loyal customers for 10-14 years over total amount. Question about the overall group 2020.

B. 77- people in the east that have been loyal 10-14 years in the east over the east group that's given that they're apart of 465.

C. 874 - customers loyal for more than 10 years in the west over the total amount. Question about the overall group 2020.

D.145 (45+100) - customers loyal for over 10 years in the west over the west group 376.

E. 41 people that have been loyal less than 1 year in the west over the group that has been loyal for less than 1 year 157.

F. 53 people that have been loyal less than 1 year in the south over the group that has been loyal for less than 1 year 157.

G.433 (465-32) people that have been loyal more than a year in the east over the east group 465.

I.335 (376-41) people that have been loyal in the west over the west group 376.

Answer:

2.75%

Step-by-step explanation:

2260.5-2200=60.5 the extra

60.5/2200=0.0275*100=2.75%

Based on the amount that Cameron invests in the bank account that gathers interest each month, the amount in the account after 2 years and 7 months is £4,777.81

The number of periods in months is:

= 2 years and 7 months

= 31 months

The periodic interest in months is:
= 5% / 12 months

= 5/12%

The amount in the bank account after 2 years and 7 months is:

= 4,200 x (1 + 5/12%)³¹

=£4,777.81

In conclusion, the amount after 2 years and 7 months have elapsed is £4,777.81

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Answer:

eywgw6 the car is in the car is in the car is in

Step-by-step explanation:

Wu and I will be in the car is in the car is in the car is in the car is here and we can 4

Answer:

Safe fund = $24,000

Risky fund = $6,000

Step-by-step explanation:

Definition of variables:

Given information:

Convert the percentages into decimal form:

[tex]\implies 2.5\%=\dfrac{2.5}{100}=0.025[/tex]

[tex]\implies 8\%=\dfrac{8}{100}=0.08[/tex]

Create a system of equations from the given information and defined variables:

[tex]\begin{cases}0.025x+0.08y=1080\\x=4y\end{cases}[/tex]

Substitute the second equation into the first equation and solve for y:

[tex]\implies 0.025(4y)+0.08y=1080[/tex]

[tex]\implies 0.1y+0.08y=1080[/tex]

[tex]\implies 0.18y=1080[/tex]

[tex]\implies \dfrac{0.18y}{0.18}=\dfrac{1080}{0.18}[/tex]

[tex]\implies y=6000[/tex]

Substitute the found value of y into the second equation and solve for x:

[tex]\implies x=4(6000)[/tex]

[tex]\implies x=24000[/tex]

Therefore, the amount invested in each fund was:

Answer:

x = 6 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 20 = 9 x + 2

Subtract 9 x + 2 from both sides:

x^2 - 9 x + 18 = 0

The left-hand side factors into a product with two terms:

(x - 6) (x - 3) = 0

Split into two equations:

x - 6 = 0 or x - 3 = 0

Add 6 to both sides:

x = 6 or x - 3 = 0

Add 3 to both sides:

Answer: x = 6 or x = 3

Answer:

7 Games

Step-by-step explanation:

1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)

2. replace the x with a whole number because you can't bowl half a game.

Ex: f(3)=12.75 or f(6)=22.50

3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.

Answer:

[tex]y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation

[tex]y=a(x-p)(x-q)[/tex]  

where:

Given:

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned} y&=a(x-p)(x-q)\\\\\implies-6&=a(5-(-7))(5-3)\\-6&=a(12)(2)\\-6&=24a\\a&=\dfrac{-6}{24}\\\implies a&=-\dfrac{1}{4}\end{aligned}[/tex]

Substitute the given x-intercepts and the found value of a into the formula:

[tex]\implies y=-\dfrac{1}{4}(x+7)(x-3)[/tex]

Expand to standard form:

[tex]\implies y=-\dfrac{1}{4}(x^2-3x+7x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}(x^2+4x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]

[tex]-\cfrac{3}{4}\div \cfrac{2}{5}\implies -\cfrac{3}{4}\cdot \cfrac{5}{2}\implies -\cfrac{15}{8}\implies {\Large \begin{array}{llll} -1\frac{7}{8} \end{array}}[/tex]

Step 1: Concept

To convert km to meters you will multiply with 1000.

To convert minute to hour you will divide by 60

Step 2: Convert

Step 3: Final answer

Option B and D

We are told that the weight of an object varies directly with the mass of the object. This basically means that if w is the weight and M is the mass then these two magnitudes are related by the following expression:

Where k is a constant.

We know that an object with a mass of 80kg weights 80 newtons. Then for this object we have w=80kg and M=80n so we get:

We divide both sides of this equation by 80:

Here it's important to remember that 1 newton (i.e. 1n) is equal to:

Then we get:

We divide both sides by 1 kg:

So now that we found k we have the following expression for the weight of an object as a function of its mass:

For an object that weights 70n we get:

We divide both sides by 1 m/s²:

So the mass of an object that weights 70n is 70kg.

Answer: The Correct Sales Prices:

a. $2,730

b.  $2,800

Step-by-step explanation:

a. $4,200 x 35%

$4,200 x .35 = $1,470

$4,200 - $1,470 = $2,730

b. $5,000 x 44%

$5,000 x .44 = $2,200

$5,000 - $2,200 = $2,800

There are 38,936,000 people over the age of 64 were in the U.S.

Option 2 is true.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the U.S. population was about 314 million.

Now,

Total population = 314,000,000

In the pie chart, The percent of people over the age of 64 were in the U.S will be 12.4%

Hence, Solve as;

Number of people over the age of 64 = 314,000,000 × 12.4%

                                                           = 314,000,000 × 12.4 / 100

                                                           = 31,400,00 × 12.4

                                                           = 38,936,000

Thus,

There are 38,936,000 people over the age of 64 were in the U.S.

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Solution

The formula for calculating margin of error is given to be

n = 390 bacteria (nearest whole number)

Answer:

3y = 80v - x

Step-by-step explanation:

she need to change the operation. x should be –

Answer:

Step-by-step explanation:

Answer

Explanation

Given:

m

To determine the mAs we can see, CD form a straight line, so the angle of it must be 180°. Now, we can get the m[tex]\begin{gathered} m\angle APE+m\angle APD=180 \\ 67+m\angle APD=180 \\ Simplify\text{ and rearrange} \\ m\angle APD=180-67 \\ m\angle APD=113\degree \end{gathered}[/tex]Since the line ED is at the center of the circle:

Therefore,

As the circle is centered in the origin , we only need to know the radius of the circle. The radius is the distance from (0,0) to (-2,0) and it is 2. So the equation is