A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What's the height of the basketball at 1.5 seconds?
Question 4 options:

20.2 feet


18.8 feet


21.5 feet


16.7 feet

Answer:

x=1

Step-by-step explanation:

We have,

h(x) = 5-2x

h(x)=3

Now,

h(x)=5-2x=3

or,5-2x=3

or,5-3=2x

or,2/2=x

Therefore, x=1 when h(x)=3

Answer:

x = 1

Step-by-step explanation:

h(x) = 3

5 - 2x = 3

2x = 2

x = 1

Answer:

SAS

43ft

Step-by-step explanation:

We know that two sides are equal

PQ = ST and QR = TU and the angle between them is equal Q = T

We can use the SAS (side angle side)

Since the triangles are congruent

PR = SU

6y+5 = 8y

Subtract 6y from each side

6y+5-6y = 8y-6y

5 = 2y

Divide by 2

5/2 = y

2.5 = y

PR = ST = 8y = 8(2.5) =20

The perimeter is 9+14+20 = 43

Answer:

B. =35ft

Step-by-step explanation:

The perimeter of a right angled triangle is a+b+c

which is 9+4+6y+5 =90

collect like terms

9+4+5+6y=90

18 + 6y = 90

6y = 90 - 18

6y= 72

divide both sides by 6

6y/6 = 72/6

y = 12

so therefore, the perimeter of ∆PQR is

9 + 12 + 14

= 35ft

Answer:

A = 1/2 B H       area = 1/2 base X height

B = 2 A / H = 2 * 99 / 12 = 16.5 cm

dA / d t = 1/2 * (B dH / dt + H dB / dt)

dB / dt = (2 dA / dt - B dH / dt) / H

dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm

dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

Answer:

Point A, B, and C are collinear points.

Step-by-step explanation:

When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.

Answer:

-62

Step-by-step explanation:

2 (32- (4 -1)^3 )

2 {32 - [tex](4-1)^{3}[/tex]}        

2{ 32 - ([tex]4^{3}[/tex] - [tex]1^{3}[/tex])}

2 { 32 - ( 64 - 1 ) }

2 { 32 - 63)

2 ( -31)

-62

Answer:

10

Step-by-step explanation:

Given

2 [ 32 - (4 - 1)³ ] ← evaluate parenthesis

= 2 [ 32 - 3³ ] ← evaluate exponent

= 2 [ 32 - 27 ] ← evaluate bracket

= 2 × 5

= 10

Answer:

268

Step-by-step explanation:

2(2×6+2×2+2×6) + 2(4×5+4×10+10×5) - 2(2×2)

= 56+220-8

= 268 cm²

Answer:

272cm

Step-by-step explanation:

So the green block has 6 sides

the height of the prism is 4cm

the length is 10cm

and the width is 5cm

to find the top and bottom sides we must find the width and length

5x10=50cm so The bottom and top are double that so 100cm is covered so far

to find the longer sides, we times 4 by 10 = 40x2 = 80cm which covers 2 sides

and the last 2 sides of the green block are the smaller ones so 4x5 = 20 but that covers one side so we times by 2 andd that gives us both sides so 40cm

all 6 sides are covered so we can add up the numbers

top and bottom = 100cm

front back = 80cm

left and right = 40

add them all up and we get 220

now we see the purple block, this is the Same process as before

top = 2x2 = 4

bottom = 2x2 = 4

front = 6x2 = 12

back = 6x2 = 12

left = 6x2 = 12

right = 6x2 = 12

add them together and we get 56cm

the surface area of both of them Is 220+56 = 276cm

however the bottom of the purple prism is on top of the top of the green prism. Because we know the surface area of the bottom of the purple  (4) and the top Surface of the green (50).

this allows us to subtract the prism above because of the bottom shapes surface so the actual answer is  272cm hope this helped

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Answer:

y = -2/9x+2/3

Step-by-step explanation:

First find the slope

m= (y2-y1)/(x2-x1)

   = (0-2)/(-3-6)

   = -2 /-9

  2/9

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = 2/9x+b

Using the point -3,0

0 = 2/9(-3) +b

0 = -2/3+b

b = 2/3

y = -2/9x+2/3

Answer:

12

Step-by-step explanation:

let the no. be 2x and 5x

5x=30, x=6

therefore 2x= 2*6= 12

hope it helps

The value of the smaller number is, 12

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Two numbers are in the ratio of 2:5 and the bigger number is 30.

Now, The ratio of numbers are,

2x and 5x

Here, the bigger number is 30.

Hence,

5x = 30

x = 6

Thus, The value of the smaller number is,

2x = 2 × 6 = 12

Learn more about the ratio visit:

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#SPJ2

Answer:

3/4 as in three forth shaded in

75%

1/4 missing blank

closer to whole

1/4 is what is missing that is less than 3/4 which is what it is your welcome.

Answer:

c. mean

Step-by-step explanation:

the data set that has less variation will have smaller distribution over a large area or variation measures.

Answer:

D. Interquile Range

Step-by-step explanation:

The datasets that have less variation are those that have smaller dispersion or variation measures.

Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.

9514 1404 393

Answer:

  c = 14

  no extraneous solutions

Step-by-step explanation:

You can subtract the right-side expression, combine fractions, and set the numerator to zero.

  [tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]

__

Check

  (14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c

  10/12 = 12/16 -1/-12

  5/6 = 3/4 +1/12 . . . . true

There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.

Answer:

2nd option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = (x - 6)²

The base graph has been shifted right 6 units

Answer:

x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"

Let me know if this helps!

Answer:

Hello,

Answer B

Step-by-step explanation:

[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]

Answer:

Step-by-step explanation:

As we know all primes but 2 are odd numbers.

It means sum of any 3 primes not including 2 is odd.

Since we have sum of 202, one of our primes is 2.

Sum of the other two primes is 200.

In order to have maximum value of p*(200 - p) these two numbers must be closer to each other. So we are looking for two primes around 100.

We can test all primes less than 200:

The 3 primes with max product are:

The value is:

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Answer:

33 1/3 %

Step-by-step explanation:

120degree is shaded

There are 360 degrees in a circle

120/360

1/3

.33333

33 1/3 %

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

[tex]340(x)^{32}=420[/tex]

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

[tex]x^{32}=\frac{21}{17}[/tex]

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

Answer:

A. 314 in^3

Step-by-step explanation:

To solve the volume of a cone:

[tex]v = \pi r^2\frac{h}{3}[/tex]

The answer will be 80 degrees

Step-by-step explanation:

50 +50 + x = 180 (Angle sum property of a triangle)

The angle sum property of a triangle:

[tex] \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree[/tex]

[tex] \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree[/tex]

[tex]\rm \large \rightarrow \: \: x \: = \: 80 \degree[/tex]

Answer:

Does the answer help you?

Answer:

Step-by-step explanation:

A) Stem-and-leaf plot

stem          leaf

5                 1

7                 6,7,8,9

8                 1,2,4,6

9                  9

B) Outlier

Could consider 51 an outlier.

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.

A) Stem-and-leaf plot

stem          leaf

5                 1

7                 6,7,8,9

8                 1,2,4,6

9                  9

B)  potential outliers will be

Could consider 51 an outlier.

To know more about Stem and leaf plot follow

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Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

Answer:

6.25%

Step-by-step explanation:

The probability of landing on B once is 25%.

So you multiply 25% by 25%.

0.25×0.25

The answer is 0.0625.

Converting back to %, its 6.25%.

I hope this helps!

pls ❤ and mark brainliest pls!

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

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The greatest value for one of the four positive integers is 30.

To find the largest positive integer, you have to minimize the other three positive integers.

Find the average of the four positive integers and equate it to the given value of the average.

[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]

Thus, the greatest value for one of the positive integers is 30

learn more here: https://brainly.com/question/20118982

Answer:

3x^2+36x+81

Step-by-step explanation:

(x+9)(3x+9)=3[tex]x^{2}[/tex] +9x+37x+81

⇛(x + 9) (3x + 9)

⇛x(3x+9) + 9(3x+9)

⇛3x² + 9x + 18x + 81

⇛3x² + 27x + 81

Answer:

136^3 cm

Step-by-step explanation:

Big square:

5 × 4 × 6 = 20 × 6 = 120

Small rectangle:

7 - 5 = 2

2 × 2 × 4  = 4 × 4 = 16

Both:

120 + 16 = 136

The volume of this figure is 136 cm^3.

Hope this helped.

Answer:

Below

Step-by-step explanation:

First you can find the front area and just multiply it by the length

Find the area of the small square

A = lw

   = (2)(2)

   = 4 cm^2

Find the area of the large square

A = lw

   = (6)(5)

   = 30 cm^2

Now just multiply the area of the two by the length

34 x 4 = 136 cm^3

Hope this helps!