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basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

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We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

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Answer:

48

Step-by-step explanation:

Answer:

360.124 in expanded and exponential form :

300+60+1/10+2/100+4/1000

Answer:

D. 10 feet

Step-by-step explanation:

40/8 = x/2 --> cross multiply

8x = 80

x = 10

Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.

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

Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.

We need to find how tall is a person who casts a 2 foot shadow.

Let x be the height of the person.

Let us form a proportional equation

40/8=x/2

Apply cross multiplication

80=8x

Divide both sides by 8

x=10

Hence, the person who casts a 2 foot shadow is 10 foot tall.

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Step-by-step explanation:

Can you please attach the picture of the prism.

Answer:

Answer is 117.86 mm^2

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figur \: there \: are \: two \: parllelograms \\ intersecting \: a \: triangle \\ area \: of \: 1 \: parallelogram \: = \: bh \: \\ here \: base\: (b) = 20 \:mm \: \: an d \: height \: (h) = 4 \: mm \\ area \: of \: 1 \: parallelogram \: = 20 \times 4 \\ \: \: = 80 \: {mm}^{2} \\ area \: of \: 2 \: parallelogram \: = bh \\ here \: base \: (b) = 32 \: mm \\ height \: (h) = 2 \: mm \\ area \: of \: 2 \: parallelogram \: = 32 \times 2 \\ \: \: = 64 {mm}^{2} \\ in \: the \: v \: shaped \: figure \: there \: s \: a \: triangle \\ area \: of \: triangle \: is \: calculated \: using \: \\ heron \: s \: formula \\ area \: of \: triangle \: = 26.14 \\ area \: of \: v \: block \\ = area \: of \: 1 \: parallelogram \: + area \: of \: 2 \: parallelogram \: - area \: of \: triangle \\ = 80 + 64 - 26.14 \\ \: \: = 117.86 \: {mm}^{2} [/tex]

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Answer:

C. Peaches

Step-by-step explanation:

To find the cost of each fruit per pound, divide the cost of the fruit by how many pounds of it there are.

Apples: $6 ÷ 6 = $1

Bananas: $4 ÷ 5 = $0.80

Peaches: $5 ÷ 4 = $1.25

Kiwis: $9 ÷ 6 = $1.50

The type of fruit that has a cost of $1.25 per pound is peaches.

Hope that helps.

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = 5x - 7

Put x as 3 and evaluate.

f(3) = 5(3) - 7

f(3) = 15 - 7

f(3) = 8

Answer: 8

Step-by-step explanation:

Answer:

Hope It helps you :) Cause the graph haves to show two unsame activities

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I hope this helps you

Answer:

26 boys.

Step-by-step explanation:

You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.

There are 18 boys on the basketball team.

To find out how many boys are on the track team, all you need to do is...

61 - (17 + 18) = 61 - 35 = 26.

There are 26 boys on the track team.

Hope this helps!

Answer:

7396.29 dollars

Step-by-step explanation:

compound quarterly means 4 times a year

% annually means the rate is divided by 4(year has 4 quarter

formula to find the compound interest:

A=P(1+r)^t , where t is the time

A=P(1+0.05/4)^4

A=4500(1+0.05/4)^40=7396.29

Answer:

21

Step-by-step explanation:

The formula for triangular numbers is n×(n+1)÷2 (n is the step of next number)

we have 1, 3, 6, 10, 15 so the next step would be 6th

6×(6+1)÷2 = 21

Answer:

4006.5

Step-by-step explanation:

4004 + 4009 = 8013

8013 ÷ 2 = 4006.5

Answer:

Hey!

Your answer is 4,006.5

Step-by-step explanation:

We get the MEAN by ADDING ALL THE VALUES UP and DIVIDING IT BY THE TOTAL AMOUNT OF SEPERATE NUMBERS!

So...

4,004 + 4,009 = 8,013

WE DIVIDE 8,013 BY 2...

8,013 / 2 = 4006.5!

Hope this helps!

Answer:

[tex]h=6.93units[/tex]

Step-by-step explanation:

1. Use the formula of volume of a cone

Volume of a cone=[tex]\frac{1}{3}\pi r^{2} h[/tex]

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

[tex]\frac{1}{3} *3.14 * 2^{2} h=29 units^{3}[/tex]

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

[tex]\frac{314}{75}h =29 units^{3}[/tex]

[tex]\frac{314}{75}[/tex] is the result of [tex]\frac{1}{3}* 3.14*2^{2}[/tex]

Move [tex]\frac{314}{75}[/tex] to other side.

[tex]h=\frac{29units^{3} }{\frac{314}{75} }[/tex]

[tex]h= 6.92675 units[/tex]

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

[tex]h= 6.92675 units[/tex]

[tex]h=6.93units[/tex]

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!

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The list of triangles are:

The diagram below is probably a better way to see all the triangles.

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

Answer:

Option (D)

Step-by-step explanation:

Function in red is,

f(x) = x²

When a function f(x) is translated h units to the left, rule to be followed,

f(x) → f(x + h)

If the function is translated 2 units left,

Translated function (in blue) will be,

g(x) = (x + 2)²

Option (D) will be the answer.

Answer:

Not a function

Step-by-step explanation:

For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.

Answer:not a function

Step-by-step explanation:

because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers

Answer:

Use law of Cosines or Tangent

Step-by-step explanation:

This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.

However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:

c=a^2+b^2﹣2abcos(angle number).  But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2

The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.

Hope this helps :)

Answer:

90,30

Step-by-step explanation:

let the three times be 3x then,

3x-22=68

3x=68+22

3x=90

x=90/3

x=30

again,

3x=3*30=90

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Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]

Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.

Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]

Reason 2. Reflexive congruence of segments (a segment is congruent to itself).

Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]

Reason 3. SAS congruence (using our two congruences above and the given congruence).

Statement 4. [tex]\angle ACD=\angle CAB.[/tex]

Reason 4. Corresponding parts of congruent triangles are congruent.

Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]

Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.

Statement 6. [tex]ABCD[/tex] is a parallelogram.

Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.

Answer:b and c

Step-by-step explanation:

Answer:

if x>0 and y=0 the point is located on the x-axis

Answer:

x-axis on the right side

Step-by-step explanation:

the point (x,y) located on the x-axis

example x=1, y=0

Answer:

100 texts

Step-by-step explanation:

20+.1x=30

30-20=10

10 dollar difference in base prices.

10/.1 (to find out how many texts)

100 texts

Answer:

It's (C) But if you do it like this you get 13/6

Step-by-step explanation:

Answer:

(a) 0.35

(b) 0.43

(c) 0.49

(d) 0.54

Step-by-step explanation:

The complete question is:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 40. b) 48. c) 56. d) 64.

Solution:

(a)

There are n = 40 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {34\choose 6}}{{40\choose 6}}=\frac{1344904}{3838380}=0.35038\approx 0.35[/tex]

(b)

There are n = 48 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {42\choose 6}}{{48\choose 6}}=\frac{5245786}{12271512}=0.42748\approx 0.43[/tex]

(c)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {50\choose 6}}{{56\choose 6}}=\frac{15890700}{32468436}=0.48942\approx 0.49[/tex]

(d)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {58\choose 6}}{{64\choose 6}}=\frac{40475358}{74974368}=0.53986\approx 0.54[/tex]

Probability of selecting none of the six integers in a lottery is 0.35

Assuming that number n = 40.

n = 40 as a positive integer

Probability of selecting none of the correct six integers in a lottery = C(34 , 6) / C(40 , 6)

Probability of selecting none of the correct six integers in a lottery = 1344904 / 3838380

Probability of selecting none of the correct six integers in a lottery = 0.35

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Answer:

(5+a)/ ( a-1)

Step-by-step explanation:

f(x) = ( 3+x) / (x-3)

Replace x with a+2

f(a+2) = ( 3+a+2) / (a+2-3)

Combine like terms

         = (5+a)/ ( a-1)

Answer:

C. (5+a)/(a-1)

Step-by-step explanation:

f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)