Answer the question in the image below

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Answer:

4 laps

Step-by-step explanation:

A jogging trail has sides that measure

168 yards 2 feet,

175 yards, and

96 yards 1 foot.

total = 168+175+96 yards and 3 feet= 439 yd 3ft

1 yard = 3ft

so total 440yd

How many laps around the trail is equal to 1 mile (1,760 yards)?

1760/440 = 4laps

The simplified form of the given expression is x raise to the power of one-thirty.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Answer: 122

Step-by-step explanation:

▪︎ Perimeter = (width + length) * 2

374 = (width + 65) * 2

width + 65 = 374 / 2

width + 65 = 187

width = 187 - 65

width = 122

Symmetric Property.

If EF is congruent to GH and GH is congruent to EF this is the Symmetric Property

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Answer:

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square.

Step-by-step explanation:

f the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. for Example: ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle. hope this helps

Answer:

The approximate probability that more than six students were born on Christmas day is P=0.105.

Step-by-step explanation:

This can be modeled as a binomial variable, with n=1460 and p=1/365.

The sample size n is the total amount of students and the probability of success p is the probability of each individual of being born on Christmas day.

As the sample size is too large to compute it as a binomial random variable, we approximate it to the normal distribution with the following parameters:

\(\mu=n\cdot p=1460\cdot (1/365)=4\\\\\sigma=\sqrt{n\cdot p(1-p)}=\sqrt{1460\cdot(1/365)\cdot(364/365)}=\sqrt{3.989}=1.997\)

We want to calculate the probability that more than 6 students were born on Christmas day. Ww apply the continuity factor and we write the probability as:

\(P(X>6.5)\)

We calculate the z-score for X=6.5 and then calculate the probability:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{6.5-4}{1.997}=\dfrac{2.5}{1.997}=1.252\\\\\\P(X>6.5)=P(z>1.252)=0.105\)

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 \(g(h(x)) = \sqrt[4]{x^2 + x +5} + 3\)

b

 \(h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17\)

c

 \(h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10\)

Step-by-step explanation:

From the question we are told that

    \(h(x) =  x^2  + x  + 5\)

and  

    \(g(x) = \sqrt[4]{x} + 3\)

Considering first question

Now we are told  g(h(x))

i.e

        \(g(h(x)) =  [x^2 + x + 5 ]^{\frac{1}{4} } + 3\)

=>     \(g(h(x)) = \sqrt[4]{x^2 + x +5} + 3\)

Considering second  question

   Now we are told  h(g(x))

i.e

    \(h(g(x)) =  [x^{\frac{1}{4} } + 3]^2 +  x^{\frac{1}{4} } + 3 + 5\)

=> \(h(g(x)) =  x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}}  + 8\)

=>  \(h(g(x))  = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17\)

=>  \(h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17\)

Considering third question

         \(h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] +  5\)

=>       \(h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10\)

A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

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Answer: the average rate of f(x) from x=-6 to x=6 is 12.

Step-by-step explanation:

-6+6=0

-6+12=6

Hope this helps :)

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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Answer:

300-10w<170

subtract 300 from both sides

-10w<-130

divide by -10, because we are dividing a negative number the inequality sign changes

w>13

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Answer:

48 ounces

Step-by-step explanation:

75% of x = 36

= 0.75x = 36

Dividing both sides by 0.75 we get:

x = 36/0.75

x = 48 units

The large scoop can hold 48 ounces.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A small scoop of ice cream holds 75% as much as a large scoop of ice cream. Let the large scoop hold x then as  per question we have  x×0.75=36

              x= 48

Hence, The large scoop can hold 48 ounces.

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Work Shown:

AC = AB + BC

AC = (7x-24) + (6x - 2)

AC = (7x+6x) + (-24-2)

AC = 13x - 26

This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.

Answer:

24x + 16y

Step-by-step explanation:

8(3x+2y)

8*3x + 8*2y

24x + 16y

Answer:

x = 54

Step-by-step explanation:

Since both triangles are similar, therefore,

\( \frac{UV}{PQ} = \frac{VW}{QR} \)

\( \frac{77}{66} = \frac{63}{x} \)

\( \frac{7}{6} = \frac{63}{x} \)

Cross multiply

\( 7*x = 63*6 \)

\( 7x = 378 \)

Divide both sides by 7

x = 54

Because he wants to mantain a constant rate over the first hours, we can see that on the first hour he should travel 26 miles.

The total race is 150 miles, if we discount the last 20 miles (that Jackson will bike as fast as he can) we get:

150mi - 20mi = 130mi

We know that he travels these 130 miles at a constant rate over 5 hours, so the distance that he moves each hour (an particularly the first hour) is given by the quotient between the distance and the time.

R = 130mi/5h = 26mi/h

So he should travel 26 miles in the first hour.

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The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

46 Days the number of days that the funds were on deposit on Interest rate.

What exactly does "interest rate" mean?

Interest earned = Principal*Interest rate*Time period

155.27 = 20,000 * 0.06 * Time period

Time period = 155.27/(20,000*0.06)

                      = 0.129339 years

                     =(0.129339 * 360)

                     = 46.56204 days

                     = 46 days(Approx)

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Answer:

Translations reflections, and rotations

are

Step-by-step explanation:

Hope this helps

Question 1 : Translations Reflections, And Rotations

Question 2 : And

◊ YusuCr ◊

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

the solution (x,y) are any x and y that satisfy the equation.

One possible solution is (0,3) or x=0, y=3.

Btw, x(squared) + y(squared) =3(squared)  

is an equation of a circle centre (0,0) radius 3.

Answer:

\(-\frac{106}{5} or -21.2\)

Step-by-step explanation:

First we would have to get x and y-values by solving systems of equations:

isolate one of the variable from any of the first 2 equations given:

-2x+ y =6 would be y = 2x + 6 when y is isolated.

now plug this equation in for the y given in the second equation:

-7x -4(2x + 6) = -8

Now solve to get the x-value,

-7x - 8x - 24 = -8

-15x - 24 = -8

-15x = 16

x = \(-\frac{16}{15}\) or -1.06

To solve for y-value, substitute the gotten x-value in any of the 2 equations and solve:

y = 2(\(-\frac{16}{15}\)) + 6

y = \(\frac{58}{15}\) or 3.86

Now that we have the x and y-values, substitute them in for the 3 equation given:

-9(\(-\frac{16}{15}\)) -3( \(\frac{58}{15}\))

=> \(-\frac{106}{5}\) or -21.2 = Final Answer

Hope this helps!