The height of a soft ball that is thrown 4 feet from the ground can be approximated by the function \(y = - 7x {}^{2} { + 20x + 4} \)where y is the height of the soft ball in feet x seconds after it is thrown. graph this function. find the time it takes the soft ball to reach its maximum height, the soft balls maximum height, and the time it takes the soft ball to return to the ground

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

Answer:

1/2 of an answer is zero qnswer

Step-by-step explanation:

use the language i used to write it down

Answer:

See below

Step-by-step explanation:

Recall that for an ellipse in the form of \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) where \(a>b\), then its vertices are at \((\pm a,0)\) and its co-vertices are at \((0,\pm b)\).

8) Its vertices are \((5,0)\) and \((-5,0)\). Its co-vertices are \((0,3)\) and \((0,-3)\).

Recall that for an ellipse in the form of \(\frac{x^2}{b^2}+\frac{y^2}{a^2}=1\) where \(a>b\), its vertices are at \((0,\pm a)\) and the co-vertices are at \((\pm b,0)\).

9) Its vertices are at \((0,6)\) and \((0,-6)\). Its co-vertices are at \((3,0)\) and \((-3,0)\).

Also remember that vertices are located on the major axis and co-vertices are located on the minor axis.

Answer:

they are equal

Step-by-step explanation:

adding a 0 to a number that is a . doesn't change it's value unless it is infront of the number

Using the z-distribution, it is found that this evidence does not support the claim.

At the null hypothesis, it is tested if the proportion is of 86%, hence:

\(H_0: p = 0.86\)

At the alternative hypothesis, it is tested if the proportion is less than 86%, hence:

\(H_0: p < 0.86\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, the parameters are given as follows:

\(p = 0.86, n = 279, \overline{p} = \frac{231}{279} = 0.828\)

Hence the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.828 - 0.86}{\sqrt{\frac{0.86(0.14)}{279}}}\)

z = -1.54

Considering a left-tailed test, as we are testing if the proportion is less than a value, with a 0.02 significance level, the critical value is z = -2.054.

The test statistic is less than the critical value, hence this evidence does not support the claim.

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The average rate of change of the given equation is -4.

The fundamental principle for determining the average rate of change is one of the fundamental ideas in calculus and is used whenever we desire to describe how quantities change over time.

How do you determine the average rate of change, then?

The average rate of change measures how quickly one function is changing in comparison to another.

Calculating the rate at which the output (y-values) changes in relation to its input is all that is required of it (x-values).

How can the average rate of change be determined?

The slope formula is employed!

\(average = \frac{f(b)-f(a)}{b-a}\).

Average rate of change = \(\frac{f(b)-f(a)}{b-a} = \frac{f(-1)-f(-4)}{-1-(-4)}=\frac{f(-1)-f(-4)}{3}\)

Given f(x) = \(1x^{2} +1x-8\)

\(f(-1) = 1(-1)^{2} +1(-1)-8\) = -8.

\(f(-4) = 1(-4)^{2} + 1(-4)-8\) = 4.

Substituting in the average rate of change we get it as -4.

The average rate of change of the given equation is -4.

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Answer:

3n=m

Step-by-step explanation:

Answer:

3m=n

Step-by-step explanation:

m equals the number of months she watches multiply that by three because three plus three plus three is the same as three times three.  and n is the equal because that is our total of movies she is going to watch. so three times the number of months she watched three movies consecutively to equal the total number of movies

Carly has $2342.67 in her account in 2047.

Growth rate of the account is 3.75% per year.

To get amount of money Carly has in her account in 2047, we need to substitute t = 2047 into equation \(P = 600(1.0375)^t.\)

Years = 2047 - 2010

Years = 37

\(P = 600*(1.0375)^{37}\\P = 600*(3.90445030158)\\P = 2342.67018095\\P = $2342.67\)

The growth rate is calculated by finding the exponent coefficient in the equation \(P = 600(1.0375)^t\)

Growth rate = (1.0375 - 1) × 100

Growth rate = 0.0375 × 100

Growth rate = 3.75%

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Answer:  The top right table

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Given: \(\textsf{y = 30 - 3x}\)

Find:  \(\textsf{Match the table of values with the equation}\)

Solution: First we must understand what form our equation is in and what each of the numbers represent.  This form is known as the slope intercept form which is formatted as y = mx + b.  Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30.  Let us know talk about what m and b are.  M is the slope of the equation or also known as the rise/run or the change in y over the change in x.  B is the y-intercept which is basically the value of y when x is equal to 0.  In this case, our b is equal to 30.

Looking at the tables we can see what the value of y when x is equal to 0 for each table.  The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.

You do not have to go any further but if you want to confirm that the slope is as expected we can do the following:  \(\frac{y_2\ -\ y_1}{x_2\ -\ x_1}\).

Plug in the values and simplify

Therefore, we can confirm that the slope matches up with the given equation as well.  So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.

The overhead cost would be assigned to Product J00A using the company's activity-based costing system is $4313.87.

The overhead cost that would be assigned to Product J00A using the company's activity-based costing system will be:

= ($86.50 × 34) + ($4.63 × 105) + ($52.16 × 17)

= $2941 + $486.15 + $886.72

= $4313.87

The overhead cost would be assigned to Product S06U using the company's activity-based costing system will be:

= ($86.50 × 43) + ($4.63 × 812) + ($52.16 × 32)

= $3719.50 + $3759.56 + $1669.12

= $9148.18

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Answer:

\(\boxed {\boxed {\sf 81}}\)

Step-by-step explanation:

The standard form of a quadratic is:

\(ax^2+bx+c\)

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

\(x^2-18x\)

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

\((\frac{b}{2})^2\)

The b in the expression is -18.

\((\frac{-18}{2})^2\)

\((-9)^2= -9*-9= 81\)

This is the number that is added.

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

The ratio of rainy days to total days written as a percent will be 75%.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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Answer:

$29,000

Step-by-step explanation:

To calculate the cost of merchandise sold, you can use the following formula:

Cost of Merchandise Sold = Sales - (Beginning Inventory + Purchases - Purchase Discounts - Ending Inventory)

Plugging in the values from the data provided, the cost of merchandise sold would be:

Cost of Merchandise Sold = $50,000 - ($6,000 + $20,000 - $1,000 - $4,000)

Cost of Merchandise Sold = $50,000 - $21,000

Cost of Merchandise Sold = $29,000

So, the cost of merchandise sold would be $29,000.

Answer:

-0.4444444444 or just -0.4

Answer:

if 9x = 180 degree

Step-by-step explanation:

one x equal to 20 degree

and if 3x= 60 degree the ? = 120 degree

Answer:

∠ ABF = 120°

Step-by-step explanation:

HCI is a straight line , so

3x + 2x + 4x = 180 , that is

9x = 180 ( divide both sides by 9 )

x = 20

∠ ABF and ∠ BCI are corresponding angles and are congruent , so

∠ ABF = 2x + 4x = 6x = 6(20) = 120°

Answer:

(1,2), (2,4), (3,6), (4,1), ( 5,3), (6,5)

Step-by-step explanation:

Given the first two solutions of the n-Queens problem for n = 6

The solution requires that no two queens share the same row, column, or diagonal and each variable lies in the domain [1,6] (6 rows).while finding a solution we must ensure that no two queens are not placed on the same row and in the same diagonal

hence the first two solutions can be expressed as :

(1,2), (2,4), (3,6),(4,1),( 5,3), (6,5)

Answer:

25 + x + x = 90

2x = 65

x = 32.5°

When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

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By adding the two given fractions we will see that 1/2 of the students either walked or came by bus

Let's say that there are N students in total. We know that a fraction of 1/8 of these N students walk to school.

And a fraction of 3/8 of the students go by bus to the school.

Then the fraction that either walks or came by bus to school is given by the addition between the two fractions above, then we just need to solve.

f = 3/8 + 1/8

We can see that we have the same denominator in both fractions, so we can directly add the numerators:

f = (3 + 1)/8 = 4/8

Now we can simplify the fraction to get:

f = 1/2

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Answer  :      x= \(\sqrt{2wy}\)/ y

Step-by-step explanation:

The coefficient of the given expression is 10.

Important information:

In the product of a constant and a variable, the constant term is known as the coefficient of the variable term.

In the given expression 10a is the product of a constant and a variable. So, 10 is the coefficient.

4 is a constant.

Therefore, the coefficient of the given expression is 10.

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Answer:

x=1

Step-by-step explanation:

-35x+85x-24=26

Combine like terms

50x -24 = 26

Add 24 to each side

50x-24+24 =26+24

50x = 50

Divide each side by 50

50x/50 = 50/50

x=1

Answer:

x=1

Step-by-step explanation:

subtract 35 from 85 which would equal 50 and then add x

so 50x-24=26

add 24 to 26 because you want x by itself

which would equal 50

50x=50

divide by 50 on both sides

50/50=1

x=1

Given:

A table of the number of adults whose main source of news is given.

To find:

The number of adults whose main source of the news is the internet or radio.

Solution:

From the table, we know the number of adults whose main source of the news is the internet is 88. It is also known that the number of adults whose main source of the news is the radio is 24.

Thus, the number of adults whose main source of the news is the internet or radio is 88+24 = 112.

Thus, the answer is 112.

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

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