A city government administers a survey to voters regarding proposed legislation for local school funding. The results are shown in the relative frequency table.

Voter Survey For Against Undecided Total
Ages: 18-21 0.26 0.2 0.53 0.5
Ages: 22-32 0.15 0.11 0.11 0.04
Ages: 33-43 0.23 0.05 0.05 0.12
Ages: 44-54 0.18 0.48 0.18 0.14
Ages: Over 55 0.18 0.16 0.13 0.2
Total 1 1 1 1

The government wants to assure that the proposed legislation passes the public vote. In order to do this, the government wants to concentrate on the largest number of undecided voters. What age group should the government target?

A.
Ages: 18-21
B.
Ages: 22-32
C.
Ages: 33-43
D.
Ages: 44-54

The challenge requires you to change the equation from f(t)=a(x-h)2 + k to the parabola function f(t)=a(x-h)2 + k.

The centripetal acceleration is therefore given by the equation ac= v2/r = 2gh/r at every point along the frictionless roller coaster, where h is the distance from the highest point and r is the local radius of curvature.

If f(t) = 4t2 -8t + 7 then

= (4t2 - 8t + 4) + 7 - 4

=4 (t2 - 2t + 1) + 3

= 4 (t-1) 2 +3

As a result, options C and D are no longer possible.

recognising the f (t),

The maximum/minimum value is at f'(t) = 0 and f'(t) = 8t - 8.

0 = 8t – 8

t = 1

figuring out whether f"(t) > 0 or if minimum, f"(t) 0 maximum

Since f"(t) = 8 > 0, the minimal

f(1) =4(1)^2 – 8(1) +7= 3

Consequently, the minimal height is 3.

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Answer: t=5 t=8

Step-by-step explanation:

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

\(145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}\)

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Answer: 6/5

Step-by-step explanation:

To find the y-intercept, we need to simply give x a value of 0.

==> x = 0

==> y = 1/4(0) + 6/5

==> y = 0 + 6/5

==> y = 6/5

The set of coordinates that are the solution to this question are:

(0 , 6/5)

The question only wants the intercept, so 6/5 is the answer!

Hope this helped! Have a good day ;)

The y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

In algebra, a line can be represented by an equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis, which means that the x-coordinate of the y-intercept is always 0.

So for the equation y = (1/4)x + (6/5), we know that the y-intercept occurs at x = 0. To find the y-coordinate of the y-intercept, we can substitute x = 0 into the equation:

y = (1/4)(0) + (6/5) = 6/5

Therefore, the y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

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Answer:

0.01 %  

Step-by-step explanation:

The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.

Our problem can be rewritten as follows:

Minimize w = 9x1 + 6x2

Subject to:

x1 + 2x2 + x3 = 5

2x1 + 2x2 + x4 = 8

x1 + 2x2 + 2x3 = 6

where x1, x2, x3, and x4 are all non-negative variables.

Next, we set up the initial simplex tableau:

Basic Variables x1 x2 x3 x4 RHS

x3 1 2 1 0 5

x4 2 2 0 1 8

x5 1 2 2 0 6

z -9 -6 0 0 0

The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.

To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.

To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:

Row 1: 5/1 = 5

Row 2: 8/2 = 4

Row 3: 6/1 = 6

The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.

To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:

Basic Variables x1 x2 x3 x4 RHS

x3 0 1 1 -1 1

x1 1 1 0 1/2 4

x5 0 1 2 -1 2

z 0 -3 9 9/2 -18

We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.

Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

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Answer:

I think its neither because

Step-by-step explanation:

Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle because one is vertical and the other is horizontal.

The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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Answer:

Because multiplying a whole number w/ a fraction is the same as dividing a whole number w/ the same fraction but the numbers are flipped.

Step-by-step explanation:

The sample proportion (360 out of 1200) can be used to estimate the population proportion, and statistical tests such as a one-sample proportion test or a Z-test can be applied to evaluate the hypotheses and determine the significance of the results.

The null and alternative hypotheses that should be used in this scenario are as follows:

Null Hypothesis (H₀): The proportion of families interested in the program is still 20% or less.

Alternative Hypothesis (H₁): The proportion of families interested in the program has increased, i.e., it is greater than 20%.

Symbolically, we can represent the hypotheses as:

H₀: p ≤ 0.20 (proportion is 20% or less)

H₁: p > 0.20 (proportion is greater than 20%)

In this case, "p" represents the population proportion of families in New Jersey interested in the renewable energy program.

To determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis, a hypothesis test can be conducted using appropriate statistical methods.

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Answer:

56

Step-by-step explanation:

The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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The function y = - 50x + 75 is linear. So, the correct option is (A).

The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,

The line has a slope of m and a y-intercept of b.

The independent variable is "x."

The dependent variable is "y" (also known as f(x)).

Consider the equation y = - 50x + 75

Compared to the linear function equation, we get

m = -50

b = 75

So, the function is a linear function with a constant change. The function will be linear at all points.

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Answer:

C

Step-by-step explanation:

h cannot be negative, since that would imply a negative height and negative volume which is impossible. h also cannot be 0, since dividing anything by 0 is undefined. Therefore, h must be positive, or h>0. Hope this helps!

Answer:

29

Step-by-step explanation:

Since the register contains only five dollar and ten dollar bills, we have to give an unknown to one of them. Hence we let ten dollar bills be X

if ten dollar bills are X then five dollar bills will be 2x. the summation of both of them is 580.

10X + 5(2x) = 580

20x = 580

X = 29

thus there are 29 ten's in the register

A. The functions are classified as follows:

B. The functions are defined as follows:

C. The value of each house after 25 years is given as follows:

There is a significant difference in the value of either house after 25 years, as exponential functions increase faster than linear functions, especially for larger input values.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

Hence the house 1 has the value function as an exponential function, as:

312,519.92/303,417.40 = 303,417.40/294580 = 1.03

The function is defined as follows:

f(x) = 294580(1.03)^x.

And the value of the home after 25 years is given as follows:

f(25) = 294580(1.03)^25 = $6176,785.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

Hence the value of the house 2 is linear, as the rate of change each year is of $9,000.

The function is defined as follows:

f(x) = 295000 + 9000x.

The value after 25 years is given as follows:

f(25) = 295000 + 9000(25) = $520,000.

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SOLUTION

(a) What percentage of adults exercise

percent adult that exercise becomes

Hence the answer is 42%

(b) Vegetarians is 39 + 21 = 60

percentage of the adults are vegetarian is

Hence the answer is 40%

(c) Adults who are vegetarian that exercise is 39

The percentage of adults who are vegetarian that exercise becomes

Hence the answer is 26%

(d)

Explanation

Step 1

we have a expression in the form.

we need two a and b numbers such as

now, we can factorize

I hope this helps you

Answer:

No

Step-by-step explanation:

The sum of two random sides of a triangle must be bigger than the third side and their differences must be smaller than the third side

For example

3 - 4 - 5 can be made into a triangle because 3 + 4 > 5 and 4 - 3 < 5

Each bag of onions costs $3.70.

Given that Santiago buys milk and onions at the store and he pays a total of $25.78, and he pays a total of $3.58 for the milk and he buys 6 bags of onions that each cost the same amount, to determine an equation which can be used To determine how much each bag of onions costs, the following calculation must be made:

Therefore, each bag of onions costs $3.70.

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Answer:

a, the letter is a and you welcome

Answer:

A) x+4y=13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-4)/(5-(-3))

m=-2/(5+3)

m=-2/8

simplify

m=-1/4

y-y1=m(x-x1)

y-4=-1/4(x-(-3))

y-4=-1/4(x+3)

y=-1/4x-3/4+4

y=-1/4x-3/4+16/4

y=-1/4x+13/4

y-(-1/4x)=13/4

y+1/4x=13/4

4(y+1/4x)=4(13/4)

4y+4/4x=13

4y+x=13

x+4y=13

Answer: y=(-5x/2)+5

Step-by-step explanation:

There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.

Subtract 5x from both sides.

5x-5x+2y=10-5x

2y=-5x+10

Then to get to y to being by itself, divide by 2 on both sides

(2y/2)=(-5x+10)/2

y=(-5x+10)/2----> or -5x/2 + 10/2

y=(-5x/2)+5

Answer:

C!

Step-by-step explanation:

Three friends AND You are eating a pizza with 12 slices. This means 4 people will be eating the same number of pizza slices. Therefore, 4 friends eat x amount of pizza slices, which equals 12 slices, or one whole pizza. So, 4x=12. If you wanted to solve for x, (the number of slices each person eats) you just divide 4 by 4x and then divide 12 by 4. You will get 3. So three slices per person. Hope this helped!

\(\boxed{The\:value\:of\:x\:is\:7.375.}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\((4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375\)

Therefore, the value of x is 7.375.

\({ \bf{ \underbrace{To\:verify :}}}\)

\((4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S\)

Hence verifed.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Answer:

No

Step-by-step explanation:

To prove 2 triangles an congruent we need three pieces of information

SSS or SAS or ASA or RHS

S - Side

A - Angle

R - Right angle

H - Hypotenuse

We have an angle side and another side

So these two triangles can be proved congruent by SAS

Hope this helped and have a good day

it's important to note that the sketch of the domain will be an infinite unbounded region, as there are no specific constraints on x, y, or z.

To describe and sketch the domain of the function f(x, y, z) =\(e^{(yz)} - x^2 - y^2\), we need to identify any restrictions or limitations on the variables x, y, and z.

1. Domain of x:

The variable x does not have any restrictions since it appears only in the expression \(x^2,\) which is defined for all real numbers. Therefore, the domain of x is (-∞, ∞).

2. Domain of y:

The variable y appears in the expressions \(y^2\) and \(e^{(yz)}\). The term \(y^2\) is defined for all real numbers, so it does not impose any restrictions. However, the term e^(yz) is only defined for all real numbers y and z since the exponential function is defined for all real inputs. Therefore, the domain of y is (-∞, ∞).

3. Domain of z:

The variable z appears only in the expression \(e^{(yz)}\). As mentioned earlier, the exponential function is defined for all real inputs. Therefore, the domain of z is also (-∞, ∞).

Combining the domains of x, y, and z, the overall domain of the function f(x, y, z) is (-∞, ∞) for all variables x, y, and z.

To sketch the domain, we can imagine a three-dimensional space with the x, y, and z axes extending infinitely in both positive and negative directions. The domain encompasses all points in this three-dimensional space.

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Answer:

175 minutes or 2 hrs and 55 minutes

Step-by-step explanation:

35÷0.20 and you'll get 175

If cell phone plan costs $0.20 cents per minute. Lisa has budgeted $35 a month for her cell phone then 175 minutes  Lisa can use each month

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that A cell phone plan costs $0.20 cents per minute.

Lisa has budgeted $35 a month for her cell phone.

We need to find  how many minutes Lisa can use each month.

Let us form a proportional equation to find this.

Let x be the number of minutes Lisa can use each month.

0.20/1=35/x

Apply cross multiplication

x=35/0.2

x=175

Hence, 175 minutes Lisa can use each month.

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Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

Answer:

the answer of that question is 45