Who can help me with this?

Answer:

y = - 3

Step-by-step explanation:

the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.

maximum = - 1 and minimum = - 5

then

(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is

y = - 3

not d

Step-by-step explanation:

d is not the anser cus it is to small or a purshes

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf (-6) \: squared\)

This will be equal to..

\( \sf( - 6 ) ^ { 2 }\)

Multiply -6 by itself (squaring a number means to multiply the number by itself twice)

\( \sf- 6 \times - 6 \\ \)

-6 multiplied by-6 will get you 36 as the answer.

\( = \boxed{\boxed{\bf \: 36}}\)

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Greetings from Brasil...

In a trigonometric function of Cosine, we have:

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

Answer:

B :)

Step-by-step explanation:

Answer:

\(\sf 1. \quad \dfrac{3}{8}\)

\(\sf 2. \quad \dfrac{7}{24}\)

Step-by-step explanation:

Spinner 1 is divided into 6 congruent sections.

There are 3 red sections, 2 blue sections and 1 yellow section.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)

    \(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)

Spinner 2 is divided into 3 sections of differing sizes.

The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)

    \(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)

If each spinner is spun once, then:

The probability that both spinners both show red is:

\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)

The probability that both spinners both show blue is:

\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)

The probability that both spinners both show yellow is:

\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)

Therefore, the probability that both spinners show the same colour is:

\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)

If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:

\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)

The probability of getting a blue from spinner 1 and a red from spinner 2 is:

\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)

Therefore, the probability of getting a red-blue combination is:

\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)

I₃ indifference curve represents the highest utility

An indifference curve is a graph that illustrates numerous pairings of two goods or commodities that leave the customer equally well off or satisfied—hence indifferent—when it comes to owning any pairing of the two items that is represented along the curve.

A consumer must give up more of one good in order to buy more of another, hence an indifference curve will always have a negative slope.

The given indifference map is a fast food meals per week vs movie tickets per week graph .

In which I₃ yields more than I₂ .

And I₂ yields more than I₁.

Thus,  I₃ curve represents the highest utility.

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ANSWER

EXPLANATION

We want to find the interest in 3 years.

To do this, we apply the formula for Compound Interest:

where P = principal = $1,000

r = rate = 3% = 0.03

n = number of times compounded per year = 4

t = number of years = 3 years

Therefore, we have that:

That is the compound interest.

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Sarah's fuel efficiency is approximately 32.91 miles per gallon.

From the question, we are to calculate Sarah's fuel efficiency.

To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.

From the given information,

1 km = 0.6214 mi

1 gal = 3.8 L

First, let's convert the distance from kilometers to miles:

691.4 km × 0.6214 mi/km = 430.10196 mi

So, Sarah drove a distance of 430.1 miles.

Also,

Convert the amount of gasoline from liters to gallons:

49.7 L ÷ 3.8 L/gal = 13.0789 gal

So, Sarah used 13.0789 gallons of gasoline.

Calculate her fuel efficiency in miles per gallon:

Fuel efficiency = distance ÷ gasoline used

Fuel efficiency = 430.1 mi ÷ 13.0789 gal

Fuel efficiency = 32.9065 mi/gal

Hence, Sarah's fuel efficiency is 32.91 mi/gal

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Answer:

∠1 = 36°

∠2 = 122°

∠3 = 122°

∠4 = 38°

Step-by-step explanation:

∠2 = 180°-58° (Supplementary angles add up to 180°)

    = 122°

∠2 = ∠3 (Vertically opposite angles are equal)

    = 122°

∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)

   = 36°

∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)

     = 38°

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Answer:

image 2

1. SSS

2. AAS

3. SAS

The absolute increase in population is 2200, and the relative increase is approximately 59.46%.

To find the absolute and relative increase in population, we can use the following formulas:

Absolute increase = Final value - Initial value

Relative increase = (Absolute increase / Initial value) * 100%

Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:

Absolute increase = 5900 - 3700 = 2200

To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:

Relative increase = (2200 / 3700) * 100% ≈ 59.46%

Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.

The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.

Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.

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movies 1.75 each

games 5.75 each

Answer:

The two choices are true by CPCTC. Are there other choices that were not posted?

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

9yd

Step-by-step explanation:

Because you have to look at the sides.

Answer:

>

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

Answer: 2 ÷ 17

Step-by-step explanation: When you have something in this form, a/b, it means the same thing as a divided by b.

So 2/17 means the same thing as 2 ÷ 17.

Answer:

2500

Step-by-step explanation:

Dimensions of first level

Length = Breadth = 75 ft (since it is a square)

It is assumed that a person will occupy \(2.25\ \text{ft}^2\)

Area of first level

\(75\times 75=5625\ \text{ft}^2\)

When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.

\(\dfrac{5625}{2.25}=2500\)

The number of tickets that can be sold for the first level is 2500.

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

y= -x

Step-by-step explanation:

slope- intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -1, m= -1.

Substitute m= -1 into the equation:

y= -x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 2, y= -2,

-2= -2 +c

c= -2 +2

c= 0

Thus, the equation of the line is y= -x.

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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True, Generally, the goal of an experiment is to determine the effect that the treatment will have on the response variable.

What does a response variable in an experiment mean?

Response Continuum In an experimental investigation, this is the result that is assessed after manipulating the explanatory variable; it is also referred to as the dependent or outcome variable.

                                Its value is expected or its variation is explained by the explanatory variable.

What other name would you give the answer variable?

The term "dependent variable" is one more typical moniker for the response variable. The response variable is frequently referred to as just "the response" for short.

                        There are several more terms for the predictor variables, including "explanatory variables," "independent variables," "predictors," and "regressors."

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Answer:

f(x + 2) = 3x + 2

Step-by-step explanation:

Simply replace wherever you find x in the function f(x) with (x + 2), like so:

f(x + 2) = 3(x + 2) - 4

f(x + 2) = 3x + 6 - 4

f(x + 2) = 3x + 2

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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