A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function (t) - - 161+ 804 + 96 models the ball's height about the ground, A(t), in feet, e
seconds after it was thrown.
a) What is the maximum height of the ball?
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feet
b) How many seconds does it take until the ball hits the ground?
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seconds

Answer:

Possible solution 1: -4.5 and -8

Solution 2: 4 and 9.

Step-by-step explanation:

Let the two numbers be a and b.

One of them (let it be b) is 1 more than twice the other one. In other words,

b= 1+ 2a.

Their product is 36. Or:

a(b) = 36.

Substitute b:

a(1+2a) = 36

2a^2 + a = 36

2a^2 + a - 36 = 0

This is now a quadratic. We can factor to solve it. Find two numbers that equals 2(-36)=-72 and add to 1. We can use 9 and -8. Thus:

2a^2 - 8a + 9a - 36 = 0

2a(a - 4) +9(a-4) = (2a+9)(a-4) = 0

So, a = -9/2 = -4.5 or a = 4.

Thus, b can equal 1 + 2(-4.5) = -8 or 1 + 2(4) = 9

Answer:

d. 169

Step-by-step explanation:

1/5 * ( 260) = 52

0.15 ( 260)=  39

out of 260 students 39 + 52 = 91 students chose a food / meal

the rest are 260 - 91 = 169 students chose a food other than the two

Answer:

9 years

Step-by-step explanation:

Answer:

You didn't put an attachment to show what solid you wanted rounded

Step-by-step explanation:

Answer:

1. 2/5

Step-by-step explanation:

When it says the ratio is 5 to 2, that means 5 is always first:

5 : 2 is correct

5/2 is correct

10 : 4 is correct (multiplied 2 on both sides)

2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.

Answer:

2/5

Step-by-step explanation:

because you are not supposed to flip the two numbers. You need to keep them in the same order.

Sorry, if this isn't the greatest answer. Its my first time.

Answer:

A

Step-by-step explanation:

A divisor refers to a number by which another number is to be divided.

So what this question is practically asking us is that which of the values in the options to 2 decimal places is the result dividing the population by the number of seats

Thus we have;

140,000/9 = 15,555.55555 which to 2 decimal places is 15,555.56

Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.

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Hope this helps!

Brainliest would be great!

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With all care,

07x12!

Answer:

the solution to the system of inequality is C

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question,

The equation for the change of position of a train starting at x = 0 m is given by x =(1/2)at² + bt³. The dimensions of b are__

from the equation of motion given, the constant b is the velocity of the body. For us to get the dimension of b, we have to find the dimension of the velocity .

Since velocity is the rate of change of displacement of a body, then;

VELOCITY = DISPLACEMENT/TIME

displacement is measured in metres while time in seconds.

expressing the formula in terms of its fundamental unit,

v = metre/secs

Since the fundamental quantity of the metre is length (L) and that of seconds is the time (T); the dimensions is expressed as;

V = L/T

V = L * 1/T

V = L * T⁻¹

V = LT⁻¹

Hence the dimension of b is  LT⁻¹.

Note that the dimension of a body is written in terms of its fundamental quantities.

The dimensions of b from the given equation are; B: LT⁻¹

The complete question is;

The equation for the change of position of a train starting at x = 0 m is given by x =(1/2)at² + bt³. The dimensions of b are__

Now, in that equation above, b represents the velocity of the motion. Now, the formula for velocity is;

Velocity = Distance/Time

Now, distance is also called Length and represented by L in basic parameters units while Time is represented by T.

Thus, the dimensions of b are; L/T or expressed as LT⁻¹

Read more on dimensional analysis at; https://brainly.com/question/1528136

Answer and Step-by-step explanation: To find the B-coordinate vector of x:

[tex]b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right][/tex] , [tex]b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right][/tex], x = [tex]\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right][/tex]

The augmented matrix will be:

[tex]\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right][/tex]

Transforming into reduced row-echelon form:

= [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right][/tex]

The values for the vector will be:

x = 2

y = 3

The B-coordinate vector is of the form:

V = [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

The B-coordinate vector of x is V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have

[tex](-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6[/tex]

Substitute:

[tex]m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2[/tex]

The formula for the slope m of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is the following:

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We have points (4,6) and (-3,-8). Let's plug these values into the formula for slope:

[tex]m=\dfrac{6-(-8)}{4-(-3)}[/tex]

[tex]=\dfrac{14}{7}=2[/tex]

The slope of the line passing through the two points is 2. Let me know if you need any clarifications, thanks!

Answer:

sorry i am not able to understood

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

De la pregunta anterior, se nos da la siguiente información

Yo TENÍA $ 5

Mi mamá me dió $ 10

Mi papá me dió $ 30

Mi tío y mi tía me dieron $ 100

Yo TENÍA otros $ 20

Si miras arriba, notarás que la palabra TENÍA está en mayúscula.

Esto se debe a que para resolver esta pregunta correctamente, tenemos que concentrarnos o prestar atención a los tiempos verbales del inglés que se usan al hacer la pregunta.

La pregunta dice: ¿Cuánto tenía?

Esto significa que la pregunta anterior es sobre cuánto tenía en el pasado antes de que sus padres, tío y tía le dieran dinero.

Por lo tanto, la cantidad de dinero que tenía

= $20 + $5

= $ 25

The total amount I have altogether will be $165

In order to get the total amount that you have, we will add all the cash you were given and the ones you have altogether.

Amount initially owned = $5

Amount given by relatives = $10 + $30 + $100

Amount given by relatives = $140

If he has another $20

Total amount I have = $5 +$140 + $20

Hence the total amount I have altogether will be $165

Learn more here: https://brainly.com/question/18843373

Answer:

1/3

Step-by-step explanation:

Ratios are basically comparisons of multiple numbers that shows their quantity relationship with each other. If we want to find the ratio of x to y, then the ratio is written as x : y or x/y.

Here, we want the ratio of adults to children. There are 3 adults and 9 children, so we have:

adults / children = 3 / 9 = 1/3

The answer is thus 1/3.

~ an aesthetics lover

Answer:

1:3

Step-by-step explanation:

The ratios of two terms is written as x:y.

3 ⇒ adults

9 ⇒ children

The ratio of adults to children:

3:9

Simplify the ratio.

1:3

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Answer:

The expression that is equivalent to 6 cubed is: 6 times 6 times 6.

This is true since cubed indicates that the base number is multiplied by itself 3 times.

So, 6^3 equates to 6 x 6 x 6.

Step-by-step explanation:

Answer:

-11xy

Step-by-step explanation:

Subtracting a negative means adding.

-14xy - (-3xy) = -14xy + 3xy = -11xy

Answer:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

[tex]\mu = 34[/tex] represent the mean

[tex]\sigma= 5[/tex] represent the deviation

We have a sample size of n = 54 and we want to find this probability:

[tex] P(33.3 < \bar X< 34.3)[/tex]

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Answer:

48.0 mm

Step-by-step explanation:

A square has 4 equal sides. If one side is 12.0 mm the ll 4 sides are the same. so you can just multiply 12*4 and get 48.0 mm. That would be the answer. The   second way to solve it is to add 12 .0 mm 4 times and you would get 48.0 mm.

Answer:

The volume of the solid using shell method is V= π(284/7)

Step by step Explanation:

Shell method is a method device to calculate the volume of a solid of revolution.

From the question, we were given

y=x³/₂

y=8,

x=0

then f(x)=8-x³/₂

The volume we were told to find , using the shell formula can be calculated using below formula

V=2π∫xf(x)dx

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Complete question :

a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Fourth (3/4).

What is the expected profit of thesecond mall?

Answer:

$453,750

Step-by-step explanation:

Given the following :

First mall:

Profit if successful = $825,000

Loss if otherwise = $275000

Probability of success = 1/2

Second mall:

Profit if successful = $550,000

Loss if otherwise = $165,000

Probability of success = 3/4

Expected profit of second mall:

If probability of profit ' P(profit)' = 3/4

Then,

Probability of loss P(loss) = 1 - P(profit)

P(loss) = 1 - 3/4 = 1/4

Expected profit:

[P(profit) * profit] + [P(loss) * loss])

(0.75 * $550,000) + (0.25 * (-$165,000))

$412,500 - $41,250 = $453,750

Answer:

0.1875

Step-by-step explanation:

σM=σ/√N

=8/√7500

=8/86.608

=0.092

Z=(x-μ)/σ/√N

=(25.5-36)/8/√7500

=-10.5/0.0092=-1141.304

Z score = -1.3125

=(27-36)/8/√7500 =

=9/0.0092=978.261

Z score= -1.125

-1.125-(-1.3125)=-1.125+1.3125)= 0.1875

The probability that the sample mean will be between 25.5 and 27 years

P(between 25.5 and 27) = 0.1875

Answer:

a geometric figure labeled CD would be a segment

Step-by-step explanation: you need to attached the pictures with the question

Answer:

No solutions.

Step-by-step explanation:

You will only have solutions when the two lines meet. But since the slopes are the same, the two lines are parallel. Since the y-intercepts are different, that means that the two slopes will never intersect, which means that there are no solutions.

Hope this helps!

Answer: no solution

Step-by-step explanation: When lines have the same slope, the graphs of the two lines are parallel which means they never intersect.

Let's look at an example.

Below, you will see two equations.

Both of the lines have a slope of 1.

So, they must be parallel which means they don't cross.

So there is no solution.

Answer:

Step-by-step explanation:

Volume of a cylinder = πr²h

where r is the radius

h is the height

The height of a right cylinder is 3 times the radius of the base is written as

h = 3r

Volume = 249cubic units

So we have

249 = π r²(3r)

249 = π3r³

Divide both sides by 3π

r³ = 249/3π

r = 2

h = 3(2)

h = 6 units

Hope this helps you

Answer:

The interest is

Step-by-step explanation:

Simple interest is given by

[tex]I = \frac{P \times R \times T}{100} [/tex]

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

[tex]I = \frac{5700 \times 4.5 \times 3}{100} [/tex]

[tex]I = \frac{76950}{100} [/tex]

We have the final answer as

I = $ 769.50

Hope this helps you

The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.

We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.

Answer:

Your correct answer is 3.75

Step-by-step explanation:

0.25 x 15 = 3.75

Answer:

3.75

Step-by-step explanation:

You can do this many ways. Write a table that looks like this:

0.25

   15

--------

Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:

   0.25

       15

   --------

    1  2  5

0  2  5

Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.

    1  2  5

0  2  5

---------------

    3.75

Answer:

A fair coin because at the end of the day it will be fun no matter where you guys go

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

x is negative