Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.

A 2-column table with 9 rows titled Height of Penny over Time. The first column is labeled t with entries 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8. The second column is labeled h(t) with entries 2, 1.951, 1.804, 1.559, 1.216, 0.775, 0.236, negative 0.401, negative 1.136.
To the nearest tenth of a second, how much time would it take the penny to hit the ground?

0.5 seconds
0.6 seconds
0.7 seconds
0.8 seconds

Answers

Answer 1

Answer:

Step-by-step explanation:

as the chart is broken into steps with the same precision we're looking for. Just choose the one where height is closest to zero or 0.6 s

To do it mathematically

The equation is

h = 2 - ½gt²

to find g, plug in a time and height

0.236 = 2 - ½g(0.6²)

g = 9.8 m/s

check another one just to be sure

1.559 = 2 - ½(9.8)0.3²

1.559 = 1.559

now plug in zero elevation with an unknown time

0 = 2 - ½(9.8)(t²)

-2 = - ½(9.8)(t²)

t² = 4/9.8

t = 0.6388765...

t = 0.6 s

Answer 2

The time it takes for the penny to hit the ground is about 0.6 seconds.

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To determine the time it takes for the penny to hit the ground, we need to find the point where the height of the penny is equal to zero.

Looking at the table,

We can see that the height of the penny is negative when t = 0.7 and becomes more negative for larger values of t.

So the penny must hit the ground between t = 0.6 and t = 0.7 seconds.

Now,

We can use linear interpolation to estimate the time at which the height of the penny is zero by finding the equation of the line that passes through the two points closest to zero on the table, namely (0.6, 0.775) and (0.7, -0.401).

So,

The slope of the line passing through these points.

= (change in height) / (change in time)

= (-0.401 - 0.775) / (0.7 - 0.6)

= -1.176

The equation of the line passing through these points.

y - 0.775 = -1.176(x - 0.6)

Simplifying

y = -1.176x + 1.438

Setting y to zero and solving for x.

0 = -1.176x + 1.438

x = 1.438 / 1.176

x ≈ 1.22

Therefore,

To the nearest tenth of a second, the time it takes for the penny to hit the ground is about 0.6 seconds.

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Related Questions

12Q. Sweeti covered 2/7 of the running track by walking and rest by running and the length of the track is 630 m. Find the distance covered by running ?​

Answers

Step-by-step explanation:

Given that :

Total length of the track = 630 m

Distance covered by Sweeti by walking = 2/7 of the running track

2/7 of 630 m

⇛ (2/7)×630

⇛ (2×630)/7

⇛ 1260/7

⇛ 180 m

Distance covered by walking = 180 m

Remaining distance =

Total distance - Distance covered by walking

⇛630 m - 180 m

⇛ 450 m

The total distance covered by running by Sweeti is 450 m.

Read more:

Similar Question

You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....

https://brainly.com/question/20123561?referrer

If you see this can you answer this question.

Answers

Answer:

The last one

Step-by-step explanation:

-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side

A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.

Answers

Answer:

Step-by-step explanation:

y =  bushels of carrots picked

6 = bushels of carrots per hour (rate of change)

x = time worked at picking

2 = initial number of bushels picked before time starts.

My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".

Find the domain of the function

Answers

Answer:

Here you go :)

Step-by-step explanation:

P(x<=30) = 1- exp ( - 30/3600 * 90) = 1- exp (-0.75)

Answers

Answer:

(

3

0

)

=

1

(

3

0

3

6

0

0

9

0

)

=

1

(

0

.

7

5

)

What determines whether a relationship
is proportional or not?

Answers

Answer:

When two ratios exhibit the same connection, they are said to be proportionate. Two ratios may be tested for proportionality by writing them as fractions and then reducing them to the smallest possible number. In this case, your ratios are proportionate since the reduced fractions are the same.

Step-by-step explanation:

Hope it helps:)

Answer of what is QS

Answers

Check the picture below.

and let's not forget that the midsegment of a triangle is always half its parallel base.

[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]

Calculate: 7×9-22+31=

Answers

Answer:

72

please mark brainlest

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x9=63

63-22=41

41+31= 72

Hope this helps

Solve 2x-1/4 + x/3 = 2

Answers

Step-by-step explanation:

=> 2x-1/4 + x/3 = 2

=> 3(2x-1) +4x / 12 = 2

=> 6x -3 + 4x = 24

=> 10x = 27

=> x = 2.7

Answer:

x = 27/28

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

2x - 1/4 + x/3 = 2

2x + (-1/4) + 1/3x = 2

(2x + 1/3x) + (-1/4) = 2

7/3x + (-1/4) = 2

7/3x = 9/4

3/7 * 7/3x = 3/4 * 9/4

x = 27/28

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

check

2 * 27/28 - 1/4 + 27/28 *1/3 = 2

2 = 2

the answer is good

solve pls brainliest

Answers

Answer:

4/12 > simplified to > 1/3

Step-by-step explanation:

hope it helps

Pls help. The question is on the picture

Answers

Answer:

23518

Step-by-step explanation:

1) the total volume can be calculated as the sum of two volumes (for more info see the picture): V=V₁+V₂, where V₁ belongs to the prisma and V₂ - to the cylinder;

2) V₁=a*b*h; V₁=20*20*37=14800 (m³);

V₂=3/4*(π*r²*h); V₂=3/4*3.1415*100*37≈8717,6625 (m³), note the full volume of the cylinder cannot be included into the result, but 3/4 of its volume;

3) finally, V=14800+8717.6625=23517,6625≈23518 (m³).

Answer:

V = 23518 m3

Step-by-step explanation:

The volume of the cube part of building

(20)(20)(37)=14800 cm3

Each cylinder:

h=37/12=3.083 m

r=10 m

[tex]v=\pi (10)^{2} (3.083)=968.66m^{3}[/tex]

all the cylinders:

[tex]v=(12)(968.66)=11,623.89cm^{3}[/tex]

Total volume.

[tex]V=14800+\frac{3}{4} (11,623.89)[/tex]

[tex]V=14800+8717.92=23,517.92[/tex]

nearest m3:

[tex]V=23518m^{3}[/tex]

I hope this help you

A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.

Answers

Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.

Thanks ☺️

Hope it helps you.


Sally must have at least $200 in her savings account to avoid a
fee. She currently has $850 in her account, but plans to spend
$75 per week. Write an inequality to determine the number of
weeks she can spend money and avoid a penalty.

Answers

Answer:

675$

Step-by-step explanation:

got it right

Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m

Hope that helps

Answers

Answer:

ok thank u ig

Step-by-step explanation:

in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures​

Answers

Answer:

  186 °F

Step-by-step explanation:

The difference is found by subtracting the smaller from the larger:

  136 -(-50) = 136 +50 = 186

The difference between the two temperatures is 186 °F.

Triangle A is a scaled version of triangle B. The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 40.5 sq cm. What is the area of triangle A?

Answers

Step-by-step explanation:

the lengths of any line (side, height,...) in A is twice as long as in B.

now, the area of a triangle is

baseline × height / 2

so, two lines are multiplied. that means the factor 2 gets multiplied in 2 times. and that means the area increases by the factor 2×2 = 4

therefore, the area of A is

40.5 × 4 = 162 cm²

In a regression model of student grades, we would code the nine categories of business courses taken (ACC, FIN, ECN, MGT, MKT, MIS, ORG, POM, QMM) by including nine binary (0 or 1) predictors in the regression. Group startsTrue or False

Answers

Binary predictors are simply used to represent dummy variables in regression.

The statement that the nine categories can be coded by nine binary predictors is false.

Binary predictors can only take any of the two binary values (0 and 1).

This means that, the nine categories cannot be represented using binary values or predictors

This is so because, the number of categories (9) is greater than the number of predictors (2).

Hence, the given statement is false

Read more about binary predictors at:

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determine the value of x in each triangle

Answers

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

In a recent year, 32.4% of all registered doctors were female. If there were 47,400 female registered doctor that year, what was the total number of registered doctors?

Answers

Answer:

come, seamen or even spherm

Step-by-step explanation:

basically when the male and female get involved in sexual activity it creates a child through sperm and egg interaction. the fastest sperm wins the race and 68.6% of them are male doctors

Helpppppppppppppppppppppppppppp

Answers

4/5. hopefully this helps

Answer:

look at the photo...............

The product of .010 and .001 is

Answers

Answer:

its 0.00001

I hope this helps

The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram

A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below

A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"

(look at picture to understand better)

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.

The applicable description is found in choice B.

Hilary is making slime for a class project
He discovers that he needs 2 cups of glue for every 3 cups of water
Select all the ratios that have the same constant of proportionality as Hilary's
observation


4:6

3:6

3:12

8:12

Answers

4:6
8:12
Are the answers

The ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.

Hilary's observation states that he needs 2 cups of glue for every 3 cups of water. This can be represented as the ratio 2:3.

Now, let's compare this ratio to the given options:

4:6 = 2:3

Same ratio, same constant of proportionality.

3:6 = 1:2

Different ratio, not the same constant of proportionality.

3:12 = 1:4

Different ratio, not the same constant of proportionality.

8:12 = 2:3

Same ratio, same constant of proportionality.

So, the ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.

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Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =

Answers

Answer:

1. 0.74 = 74%

4. 0.617 = 61.7

6. 68% = 0.68

9. 175% = 1.75

2. 0.15 = 15%

5. 0.834 = 83.4%

7. 34% = 0.34

10. 200% = 2.00

3. 0.09 = 9%

8. 58.5% = 0.585

Step-by-step explanation:

13 If CDEF is a rhombus, find m FED.

Answers

Answer:

36

Step-by-step explanation:

8x-20=5x+1

-5       -5

3x=-20+1

+20 +20

3x=21

3  3

x=7

8(7)-20

FED=36

help any body plzs i will give brianlyest

Answers

[tex]1 \: month = \frac{4200}{3} \\ = 1400 \: bottles[/tex]

- BRAINLIEST answerer

a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population

Answers

Yes we can becuase the villages have the serum and the children have it too so it’s all good

We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.

Let's denote:

μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)

μ2 = Mean serum protein level of the group fed on high protein food

The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis (Ha) would be that there is a difference between the means:

Hₐ: μ₁ ≠ μ₂

Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.

Assuming the serum protein values (in g/100ml) for the 16 children are as follows:

8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9

Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml

Sample standard deviation (s) ≈ 0.352 g/100ml

Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:

t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]

where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Substituting the values, we get:

t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584

Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.

Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.

In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

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Topic 3: Performance Assessment Form A
Due 11/18/21
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the function V
to identify the x-intercepts. List them in order from least to greatest.
0
1
2
3
4
5
3
The x-intercepts are -
, and
Part
Which, if any, of the x-intercepts has meaning in the context of the problem? Explain.
B 1
Ω 6
Roviow progress
Question 3
oro
Back
Next →

Answers

Answer:

Suppose, for example, we graph the function

f

(

x

)

=

(

x

+

3

)

(

x

2

)

2

(

x

+

1

)

3

.

Step-by-step explanation:

Pre college need help

Answers

Answer:

C

Step-by-step explanation:

61 = 7 - 6x
this is 8th grade math ​

Answers

Answer:

x = -9

Step-by-step explanation:

Solve:

61 = 7 - 6x54 = -6xx = -9

-Chetan K

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]

Step-by-step explanation:

[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]

______

Hope it helps!

[tex]\mathfrak{Lucazz}[/tex]

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