CITY PLANNING A city is planning to construct a new park.
Based on the blueprints, the park is the shape of an isosceles
triangle.

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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The behaviors of the function in the intervals is given as follows:

a) Increasing: (-∞, -4) and (-3, -2).

b) Decreasing: (-4, -3) and (-2, ∞).

c) Constant: No interval.

Considering the graph of the function, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.

Hence, in the context of this problem, considering the given graph the function is increasing on these following intervals:

Considering the graph of the function, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence, in the context of this problem, considering the given graph the function is decreasing on these following intervals:

A function is constant when the graph is an horizontal line, that is, when changing the value of x causes no effect to the value of y, it remains constant.

Hence, there are no intervals in which the graph of the function is constant.

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Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Answer:

A.

Step-by-step explanation:

If Helena were to bake two loaves of bread, she would use 7 cups of flour and 1.5 cups of sugar. If she were to also bake 4 batches of muffins, she would use 10 cups of flour and 3 cups of sugar. Both of which added together would equal 17 cups of flour and 4.5 cups of sugar.

Answer:

If its just 15 then its 1

Step-by-step explanation:

Because 15 divided by 1 is 15 which is the fraction.

Answer:

Below,...!

Step-by-step explanation:

15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:

\(\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}\)

15/1 is your fraction so 15/1 divided into 15 equals 1

\(\frac{15}{1} / 15 = 1/1 = 1\)

Answer: 1

Chow,...!

Answer:

5cm

Step-by-step explanation:

Convert 1.5m into cm to make it easier to solve.

1.5m --> 150cm (*100)

The real bike length is 30 times larger than the scale. So to undo this we need to divide by 30.

150cm / 30 = 5cm

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

-26.25 degrees

Step-by-step explanation:

1. Given that the initial temperature in Minnesota was -20 degrees and it decreased by 6 1/4, we can translate it into an expression: -20 - 6.25.

2. Now, all we have to do is solve the expression:

Therefore, the final temperature is -26.25 degrees.

The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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Answer:

B

Step-by-step explanation:

First thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 130, mean = 120 and SD = 10

Substituting these values

z-score = (130-120)/10 = 10/10 = 1

So the probability we want to calculate is;

P(z ≥ 1) = 1 - P(z <1)

From standard score table, P(z <1) = 0.15866

P(z ≥ 1) = 1-0.15866 = 0.84134

Answer:

0.16

Step-by-step explanation:

Answer:\(\frac{8}{9}\)

Step-by-step explanation:

Four fifths=4/5

two ninths=2/9

\(\frac{4}{5} *5*\frac{2}{9}=\frac{8}{9}\)

Assuming you meant ( four fifths ) * 5 * ( two ninths ), the answer would be 0.88888888888.

If you meant 4/5 x 5 and then x 2/9, the answer would be 8/9, because 4/5 x 5 is 4, and 4 x 2/9 is 8/9.

Parabola equation , characteristic points

Vertex is the point of minimum-max value

A Directrix is a line outside parabola

Vertex is at (x,y) = (4,-5)

Parabola equation in general is

(x-h)^2 = 4•c•(y-k)

here c = -9

and (h,k) = (4,-5)

Then

(x-4)^2 = 4•(-9) •(y+5) = (-36)•(y+5)

(x-4)^2 = (-36)•(y+5)

Now divide by (-36)

-0.06((x-4)^2 = y + 5

-0.06(x-4)^2 - 5 = y

Looking at options, right answer comes to be D) , last option

Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

In this question we have a power function with two variables and which has to be simplified by using power properties. The detailed procedure is shown below:

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

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Answer:

\(y=2(3)^x\)

Step-by-step explanation:

\(y=ab^x \\ \\ \frac{2}{9}=ab^{-2} \\ \\ 54=ab^3 \\ \\ \implies \frac{ab^3}{ab^{-2}}=b^5=\frac{54}{2/9}=243 \\ \\ b=3 \\ \\ a(3)^3=54 \implies a=2 \\ \\ \therefore y=2(3)^x\)

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.

To calculate the weighted mean of student 40's exam scores with exam 1 weighted twice that of the other 3 exams, you will need to use the weights provided in the spreadsheet. First, locate student 40's scores for all four exams on the second sheet of the spreadsheet. Then, apply the weights provided to each exam score.

To weight exam 1 twice that of the other 3 exams, you will need to multiply the exam 1 score by 2 and leave the other three scores as they are. Once you have adjusted the weights accordingly, you can calculate the weighted mean using the formula:

weighted mean = (weight1 * score1 + weight2 * score2 + weight3 * score3 + weight4 * score4) / (weight1 + weight2 + weight3 + weight4)

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.

Answer:

2.5*10^7

Step-by-step explanation:

Answer:

Brainliest!!!

Step-by-step explanation:

See picture

To find the volumes of the given figures, we can use the formulas: Volume of cylinder = πr^2h, Volume of cone = 1/3 πr^2h,Volume of sphere = 4/3 πr^3

The figure with the largest volume is the cone with dimensions r=11 in, slant height=61 in, with a volume of 2420π in^3.

The figure with the smallest volume is the cylinder with dimensions r=5 in, h=1 in, with a volume of 25π in^3.

The cylinder with dimensions r=4 in, h=4 in and the cylinder with dimensions d=4 in, h=9 in have equal volumes of 64π in^3.

The cylinder with dimensions r=4 in, h=4 in and the sphere with dimensions r=6 in have volumes equal to 64π in^3.

The cylinder with dimensions r=5 in, h=1 in and the sphere with dimensions d=6 in have volumes between 100π in^3 and 300π in^3.

The cone with dimensions r=2 in, h=27 in, the cylinder with dimensions d=4 in, h=9 in, and the cylinder with dimensions r=5 in, h=1 in have volumes between 25π in^3 and 100π in^3.

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Answer:

B

Step-by-step explanation:

Answer:

B=40°

Step-by-step explanation:

Sum of angles in a triangle =180°

90°+50°+x°=180°

140°+×°=180°

Collect like terms

x°=180°-140°

x°=40°

Check the picture below.

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

52.5

Step-by-step explanation:

so sorry if im wrong hope this helps

Answer:

Perimeter:  36 inches

Area: 78.75 inches

Step-by-step explanation:

1. Multiply 5 and 7 by 1.5. The new dimensions are 7.5 inches by 10.5 inches.

2. Do 7.5 x 10.5 to find the area.

3. Do (7.5 x 2) + (10.5 x 2) to find the perimeter.

Answer:

p = 40/0.08

Decimal form: p = 500

Answer:

i = 0.06

n = 108

Step-by-step explanation:

Rate per period:

This is the interest rate, as a decimal.

In this question, the interest rate is 6%. As a decimal, this is 0.06.

So i = 0.06

Number of periods:

The compounding happens monthly.

So 1 period is 1 month.

The payments are made for 9 years, and each year has 12 months.

9*12 = 108

So n = 108R

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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