Find the product. 5(4v + 1)

Answer:

442.96875 ft.

Step-by-step explanation:

Original Height (h) : 150 ft

Bounce 1 (h₁) : h/2 = 150/2 = 75 ft

Bounce 2 (h₂) : h₁/2 = 75/2 = 37.5 ft

Bounce 3 (h₃) : h₂/2 = 37.5/2 = 18.75 ft

Bounce 4 (h₄) : h₃/2 = 18.75/2 = 9.375 ft

Bounce 5 (h₅) : h₄/2 = 9.375/2 = 4.6875 ft

Bounce 6 (h₆) : h₅/2 = 4.6875/2 = 2.34375 ft

Finding the sum of bounces 1 - 5 :

Distance traveled :

Answer:

442.96875 ft

Step-by-step explanation:

We can model the height of each bounce as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)

If we let n be the number of bounces, then the initial term has to be:

[tex]a_1=\dfrac12(150)=75[/tex]

since this is the height of the ball after the first bounce.

The common ratio r has already been given to us, as we have been told that the height of the bounce halves after each bounce.

[tex]\implies r=\dfrac12=0.5[/tex]

Therefore, the geometric series to model the peak height of each bounce is:

[tex]a_n=75(0.5)^{n-1}[/tex]

(where [tex]a_n[/tex] is the height and n is the number of bounces)

Therefore, to calculate the total number of feet the ball travels until it reaches the peak height of the 6th bounce:

Total = 150 + (2 × sum of 1, 2, 3, 4 & 5th bounces) + 6th bounce

To find the sum, use the geometric sum formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the bounces 1 through 5 is:

[tex]\implies S_5=\dfrac{75(1-0.5^5)}{1-0.5}=145.3125[/tex]

Height of the 6th bounce:

[tex]\implies a_6=75(0.5)^{6-1}=2.34375[/tex]

[tex]\begin{aligned}\textsf{Total distance} & =150+2\left(\dfrac{75(1-0.5^5)}{1-0.5}\right)+75(0.5)^{6-1}\\ & = 150 + 2(145.3125)+2.34375\\ & = 150 + 290.625+2.34375\\ & =442.96875\: \sf ft \end{aligned}[/tex]

Answer:

I think it is the rectangle

Step-by-step explanation:

I wish it is really helpful for u

Answer: D. Trapezoid

Step-by-step explanation:

From the question, it tells us that each angle was congruent to its opposite angle, since in a rectangle all angles are 90 degrees, rectangles won’t be correct. Parallelograms is self explanatory. Rhombuses have 2 pairs of same angles, which only leads to a trapezoid with 2 different bases, leading to different angles in it’s opposite corner.

Answer:

Rectangular Pyramid

Step-by-step explanation:

The shape is a rectangle.  Thus, leaving only two viable answers.

The picture is not a prism.  Hence, the only option left is a rectangular pyramid.

Answer:

72 in²

Step-by-step explanation:

since the trap is open left and right, we don't include these side areas.

so, all we have for the surface area are

the top rectangle (2.5 in × 12 in),

the bottom rectangle (2 in × 12 in)

the back rectangle (1.5 in × 12 in)

for the total surface area we need to to add all 3 areas up.

in our case we get

2.5 × 12 = 30 in²

2 × 12 = 24 in²

1.5 × 12 = 18 in²

total is then

30 + 24 + 18 = 72 in²

Answer:

35 inches long

Step-by-step explanation:

the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35

Answer:

y>3

Step-by-step explanation:

All values on the y axis will be greater than 3

Hope this helps :D

Answer:

a

Step-by-step explanation:

if im right, the answer would be in the question :) its asking for the probability of a senior who plays a sport, and the third sentence is "the probability that a student is a senior and plays a sport is 0.08". sorry if im wrong!

$920 - $60x

Step-by-step explanation:

after one month, he try would have taken out 60 x 1 dollars, after two months, 60 x 2, 3 months, 60 x 3, etc. so after x months he would have taken out 60x (60 times x) dollars. if he starts with 920 dollars, he would be left with $920 - $60x.

<3

Answer:

1344 - 96 = 1248

If you want to check your answer the add 1248 + 96 =1344

Based on the number of times Johnny performs the experiment, the order from the largest difference in relative frequency and actual prob. to the smallest is:

The difference between absolute probability and relative frequency will be larger if the number of experiments performed is smaller.

This is why the largest difference was seen when Johnny performed the experiment 20 times and the smallest difference was seen when the experiment was done 75 times.

Find out more on relative frequency at https://brainly.com/question/3857836.

Answer:

so i am sorry but somehow my answer got deleted

Step-by-step explanation:

Answer:2.750

Step-by-step explanation:

Or D

Answer:

140 minutes

Step-by-step explanation:

14 minutes+14 minutes=28 minutes, 28 minutes x 5 days= 140 minutes

The two angles sum to equal 180 degrees.

4x + 8x = 180

12x = 180

X = 180/12

X = 15

Answer:

Soln:4x°+8x°=180°

12x°=180°

or,x°=180°/12

or,x°=15

4x°=4×15°=60°

8x°=8×15°=120

Answer: $2.13

Step-by-step explanation:

Answer:

58 y/o

Step-by-step explanation:

Write out the English in math terms

[24/(-3) + (-7) ] * -4     -2   = Father's age =   58

Step-by-step explanation:

Length of a shipping box (L) = 13m

breadth of a shipping box (b) = 7m

height of a shipping box (h) = 3m

Now,

Volume of a shipping box (v) = L*b*h

= 13*7*3

= 273

Answer:

a^3 + b^3

Step-by-step explanation:

(a + b)(a^2-ab+b^2)

a(a^2 -ab +b^2) +b(a^2-ab+b^2)

a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3

a^3 -a^2b +a^2b ab^2-ab^2 + b^3

The final answer will then be:

a^3 + b^3

Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!

Answer:

a^3 - b^3

Step-by-step explanation:

a^3+a^2b+ab^2 -a^2b -ab^2 -b^3

a^3 - b^3

The measure of central tendency of a distribution of data that can take multiple value is the mode

In a given dataset;

All the above measures can take only one value in a dataset

However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)

Read more about measure of central tendency at:

https://brainly.com/question/17631693

Answer:

93%

Step-by-step explanation:

We must divide to solve this :)

102300/110000 = 0.93 x 100 = 93%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

B and D

Step-by-step explanation:

2:4 when divided by 2 gets you 1:2

and 2:4 multiplied by 2.5 gets you 5:10

Answer:

B and D

Step-by-step explanation:

So basically we have to find the unit rate of 2:4.

(remember to find the unit rate we have to simplfy the ratio until one of the quantities is 1)

2:4 (divide by 2 on each side)

1:2 (B)

now we can use this unit rate of 1:2 to find out other equal ratios

1:2 (multiply 5 on both sides)

5:10 (D)

Answer: 25∘

Step-by-step explanation: I have the same question and it said 25∘ is right because I don't think the angle changes when you are just moving it a few units up down left or right.

Answer:

25

Step-by-step explanation:

Answer:

x=74

Step-by-step explanation:

because those two angles you can assume are equal, and all you have to do is subtract 180 by 32 and divide 148 by 2 to get the other two parts of the triangle.

Answer:

Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

Step-by-step explanation:

i hope this works

Answer

rational

Step-by-step explanation:

Answer:

22.21

Step-by-step explanation:

The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope. The vertex of a quadratic function is calculated by rearranging the equation to its general form, f(x) = a(x – h)2 + k; where (h, k) is the vertex.

Answer: C) (-∞,∞)

The domain of the funtion is (-∞,∞)

Answer:

(a) 5 units up

(b) 3 units right

(c) 7 units left

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Transformed equation:  [tex]y = (x - h)^2+ k[/tex]

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

Part (a)

Given equation:  [tex]y=x^2+5[/tex]

Rewriting in transformed equation form:  [tex]y=(x-0)^2+5[/tex]

Therefore, the parabola is translated 5 units up.

Part (b)

Given equation:  [tex]y=(x-3)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x-3)^2+0[/tex]

Therefore, the parabola is translated 3 units right.

Part (c)

Given equation:  [tex]y=(x+7)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x+7)^2+0[/tex]

Therefore, the parabola is translated 7 units left.

Part (d)

Given equation:  unreadable

Answer:

This implies that the opening price was 21080.28. Explanation: The Dow Jones Industrial Average measures the stock performance of 30 large