Plot the the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.

Answer:

first is true

second is false

third is true

fourth is false

the last few questions about the volume are a little choppy, but the correct volume is 268cm³.

Step-by-step explanation:

hope this helps<<3

Answer:

-5t^2+2t-3

Step-by-step explanation:

Answer:

A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.

Step-by-step explanation:

The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.

Apparently, the first table is like that.

Answer:

A is the answer

Step-by-step explanation:

just took the test

Answer:

First Slot is B and the second slot is A

Step-by-step explanation:

B is in the x coordinate

A is in the y coordinate

And when you look at the formula it should make sense ;D

Answer:

Expanded form

Step-by-step explanation:

Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.

Answer:

Sally ran an average of 3 mph

Step-by-step explanation:

If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph

Answer:

Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Step-by-step explanation:

We want to find which of the expression is not equal to 30.

1) (120 : 20) x (2+3)

Using BODMAS, we will solve the brackets first. So, we have;

(120/20) × 5

Note that a ratio implies division.

So, we have;

6 x 5 = 30

2) (9 x 10) : (4 + 1) + 12

Again, using BODMAS, solve the brackets first.

90 : 5 + 12

Ratio symbol is division and so it come before addition in BODMAS.

So, we have;

(90/5) + 12 = 18 + 12 = 30

3) (2 x 60 : 30) x (24 + 2)

Again, using BODMAS, solve the brackets first.

In the first bracket, we'll use division first before multiplication.

(2 x 60/30) x (26) =

2 x 2 x 26 = 104

4) 2 + (30 - 8:4)

Again, using BODMAS, solve the brackets first.

In the second bracket, division goes first. So,

2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30

So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Answer:

k= 5

Equation is: y=5x

Answer:

Mode:7

Median:2

Mean:5.2

Range:7

Step-by-step explanation:

see the picture attached

The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.

Given :

Numbers  --  3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.

b) The median of the given series is 5 and 7.

c) The formula of mean is used in order to determine the mean of the given series.

[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]

[tex]\rm Mean = \dfrac{52}{10}[/tex]

[tex]\rm Mean = 5.2[/tex]

d) The range of the given series is calculated as:

[tex]\rm Range = 8-1[/tex]

[tex]\rm Range = 7[/tex]

For more information, refer to the link given below:

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Answer:

M

Step-by-step explanation:

1 and 7/8 is between 1 and 2

Answer:

Point M.

Step-by-step explanation:

Each number is divided into fourths. 7/8 is in the middle of a fourth, and it is 1/2 of a fourth, or 1/8, away from 2. Therefore, Point M is the correct answer.

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let [tex]\mu[/tex] = mean resting pulse rate for men.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean mean resting pulse rate = [tex]\frac{\sum X}{n}[/tex]

                =  [tex]\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}[/tex]  = 71.83 beats/minute

            [tex]\sigma[/tex] = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  [tex]\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }[/tex]    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z [tex]\leq[/tex] 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

Answer:

[tex]XY=2YZ\\XY=2\times4\\XY=8[/tex]

The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as XYZ

Let the measure of the side XY of the triangle be A

The measure of side YZ = 4

Now , from the trigonometric relations , we get

sin θ = opposite / hypotenuse

when θ = 30°

Substitute the value of θ in the equation , we get

sin θ = YZ / XY

On simplifying the equation , we get

sin 30° = 4 / XY

Multiply by XY on both sides of the equation , we get

XY ( sin 30° ) = 4

The value of sin 30° = 1/2

So , XY / 2 = 4

Multiply by 2 on both sides of the equation , we get

XY = 8

Hence , the measure of side XY of triangle is XY =8

To learn more about trigonometric relations click :

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Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

[tex]x+y=500[/tex]

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

[tex]3x+5y=1850[/tex]

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.

Now that we have out equations, we can use system of equations to find our students and adults.

[tex]x+y=500[/tex]

[tex]3x+5y=1860[/tex]

Typically elimination is the easiest strategy because you are able to cross out variables.

[tex]3(x+y=500)[/tex]

[tex]3x+5y=1860[/tex]

Becomes:

[tex]3x+3y=1500[/tex]

[tex]3x+5y=1860[/tex]

We see that both equations now have 3x. We can cancel out 3x.

[tex]-2y=-360[/tex]

[tex]y=180[/tex]

Now that we know y=180, we can plug it back into one of our equations to find x.

[tex]x+180=500[/tex]

[tex]x=320[/tex]

320 student tickets and 180 adult tickets were sold.

Answer:

252 minutes

Step-by-step explanation:

All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.

He started the first house at 9:00 AM and the sixth house at 10:00 AM.

Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.

1 hour = 60 minutes

60 minutes per 5 lawns = 60/5 minutes/lawn

which can be reduced to

12 minutes per lawn

His unit rate is 12 minutes/lawn.

Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.

12 minutes/lawn * 21 lawns = 252 minutes

Answer: 252 minutes

The right answer is <DEF and <GHJ.

EXPLANATION:

if we add 40 degree and 50 degree then it will result to 90 degree .

Right angles are those angles which is exactly 90 degree.

Hope it will help you.....

-pragya~~

Step-by-step explanation:

angles GHJ and DEF

50+40=90

Answer:

The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)

the second one is D or B... I don't know which one but there you go!!

I tried!!!

Step-by-step explanation:

I want brainliest

Answer:

Step-by-step explanation:

find the value of y in the second equation

x + y = -2,

but y = -2-x as well

so take the value that we have found for (x) into the first equation

2x + 2(-2-x)= 8

-2x + -4-2x = 8

-4x-4=8

-4x = 12

x=-3,

now just substitute x value into either equation

x + y =-2

-3 + y = -2

y =1

Answer:

the answer will might be A yeah I'm sure the answer is A

Answer:

220

Step-by-step explanation:

Answer:

8.062258

Step-by-step explanation:

d = 8.062258

For:

(-2, 3)

(5, -1)

Distance Equation Solution:

d=√(5−(−2))2+(−1−3)2

d=√(7)2+(−4)2

d=√49+16

d=6–√5

I belive the answer is

d=8.062258

Answer: 3

Step-by-step explanation: edge (other girl is obviously challenged if she didn’t see the possible answers...)

Answer:

37 7/13

Step-by-step explanation:

there are 13 students

total marks of students is488

therefore we are finding the median

=488/13

=37 7/13

Answer:

C), they didn't multiply by one half

Step-by-step explanation:

just did it on edge

Answer:

The answer is C

Step-by-step explanation:

Answer:

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

 25 meters

--------------------- = (125/1) meters/min = 125 m/min

(1/5) minute

This is equivalent to about 380 ft/min

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 [tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]

where area of the circle = πr²

∴ for the given circle,

[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]

                            =  [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]

                            = [tex]\frac{100}{360}\times 1017.36[/tex]

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².

Answer:

3/4th of a goal

Step-by-step explanation:

just answered the question

The number of goals that a player would score in every additional hour would be 3/4th of a goal.

The equation of the slope of a line =

y2-y1/x2-x1

= 6-2/6.5 -1.5

= 4/5

This is the best option that is closest to the goal that would be scored based on the regression line that is contained in the question.

Use the regression line for the data in the scatter plot to answer the question. On average, how many more goals will a player score for every additional hour of practice?

A. )1/2 of a goal

B. )3/4of a goal

C.) 1 goal

D.) 4/3 goals

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Answer:

x= y+3/2 -3

Step-by-step explanation:

y+3/2=x+3

y+3/2-3=x

The line y = 2x + 3 on plotted graph.

Given that,
To determine whether the graph matches the equation y+3=2(x+3)

The line is a curve showing the shortest distance between 2 points.
The standard form of the equation of the line can be given as y = mx +c

Here,
y+3=2(x+3)
Simplifying the equation
y = 2x + 6 - 3
y = 2x + 3
The above-simplified equation represents the equation of line with slope and y-intercept as 2 and (0,3) respectively.

Thus, the line y = 2x + 3 on plotted graph.

Learn more about lines here:

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Answer:

Step-by-step explanation:

the slope perpendicular is 1/2

y - 2 = 1/2(x - 4)

y - 2 = 1/2x - 2

y = 1/2x

Answer:

  4811

Step-by-step explanation:

The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...

  n(t) = (initial number)·(growth factor)^(t/(time for growth factor))

  n(t) = 3000·1.3^(t/5)

Then the number present after 9 hours is ...

  n(9) = 3000·(1.3^9/5) ≈ 4811

Answer:

4811

Step-by-step explanation:

FOR PLATO