Median of 81 94 83 91

GIVEN ↷

where,

h⤿ Height ⤏0

t ⤿ time⤏?

v⤿initial velocity⤏8ft/s

s⤿initial height⤏24ft

TO FIND ↷

SOLUTION ↷

we know that,

To factorise the equation, we'll divide the both side by 8 and multiply by -1

we get,

so,

2t - 3 = 0

2t = 3

t = 3/2

t = 1.5 seconds

hence, the diver will take 1.5 seconds to reach the maximum height

Now , to find the maximum height ,

we'll insert the value of time taken in the given equation which is ↷

Hence , the maximum height the diver will reach in 1.5 seconds = 0

Answer:

Please tell me the total of students?

Step-by-step explanation:

Answer:

70% of the people at the carnival are students.

Step-by-step explanation:

Since the total is 550:

To find the percentage, we need to divide the amount of students by the total:

385/550=0.7

Then multiply the quotient by 100 and you have the percentage!

0.7*100=70

Answer:

(1/6)π = 0.524

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} *\pi *r^{3}[/tex]

Volume of Sphere = [tex]\frac{4}{3} *\pi *0.5^{3}=\frac{1}{6} \pi[/tex]

Answer:

V = (1/6)π

Step-by-step explanation:

Use the sphere volume formula:

V = (4/3)(π)(r^3)

V = (4/3)(π)(1/2)^3

V = (4/3)(π)(1/8)

V = (4/24)π

V = (1/6)π

Answer:

equation= y-y¹=m(x-x¹)

where m= slope = y²-y¹

x²-x¹

= 10-4

6-0

= 6

6

= 1

= y-10=1(x-4)

y-10=1x-4

y=1x-4+10

y=1x+6

hope this helps

The volume of the prism that is completely filled by 80 cubes of edge length 1/2 cm is 10 cm³.

To calculate the volume of the prism, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The volume of the prism is 10 cm³.
Learn more about prism here: https://brainly.com/question/23963432

Answer:

9.1

Step-by-step explanation:

(13*70)/100

Answer:

Explanation:

13/100 with 70 = (13÷100)*70= (13*70)÷100=9.1

hope this helps.

Answer:

6√3

Step-by-step explanation:

Let's take the vertical side in the middle as y and the side on the left as z.

We have:

from the right triangle on the right:

9²+y²=x²

from the right triangle over the big triangle:

z²+x²=(9+3)²=12²

from the right triangle on the left:

3²+y²=z²

We can use substitution in our three equations to get x.

9²+y²=x²

z²+x²=12²

3²+y²=z²

First, solve for y² in terms of x². We want everything in terms of x so we can solve for it.

9²+y²=x²

subtract 9² from both sides

x²-81 = y²

plug that into the third equation

3²+(x²-81)=z²

x²-72=z²

z²+x²=144 (the second equation)

plug x²-72 for z²

x²-72+x² = 144

add 72 to both sides

2x² =216

divide both sides by 2 to isolate x²

x²=108

square root both sides to get x

x = √108 = 6√3

What is the area of the box?

      B * H = A

      54 in² * 13 in = A

      702 in³ = A

The area of the box is 702 in³

Does he have enough sand?

If not, how many more bags does he need?

      I am not sure how many bags he does have, so I cannot answer these two questions. I can, however, tell you how many bags he will need.

      702 in³ / 36 in³ = 19.5 bags

He most likely will not have half a bag, so he will need 20 bags in total.

Answer:

352 oz

Step-by-step explanation:

16 oz in a pound

16x22 = 352

Answer:

352.

Step-by-step explanation:

One lb is 16 oz. 22x16 is 352

Answer:

B. The United States Constitution

Answer:

Step-by-step explanation:

Answer:

number of math textbooks sold: 211

number of chemistry textbooks sold: 159

Step-by-step explanation:

let [tex]x[/tex] be the number of math textbooks sold

let [tex]y[/tex] be the number of chemistry textbooks sold

[tex]y=x-52[/tex]

[tex]y+52=x[/tex]

[tex]x+y=370[/tex]

[tex]y+52+y=370[/tex]

[tex]2y=318[/tex]

[tex]y=159[/tex]

[tex]x=159+52[/tex]

[tex]x=211[/tex]

Answer:

(1, -3)

Step-by-step explanation:

To find the solution of the system of linear equations, first you need to set them equal to each other and solve.

y = x-4

y = -2x-1

x-4 = -2x-1

x + 2x = -1 + 4

3x = 3

x = 1

To find the corresponding y-value, plug the calculated x into one of the equations (it doesn't matter which one you choose because they will give the same result).

y = x-4

y = 1 - 4

y = -3

If the graph hadn't been provided, you could check this problem by plotting both equations and determining their intersection. Since the graph was provided you can just compare your results to the shown intersection.

Answer: (1,-3)

Step-by-step explanation: The solution of a system of linear equation is where the two lines intersect, in this case, (1,-3). (that's why the dot is there)

Answer:

130°

Step-by-step explanation:

∠AOB + ∠BOC + ∠COD = 180

Note ∠BOC = 90°

so 3x - 28 + 90 + 66 - x = 180

2x + 128 = 180

2x = 180 - 128 = 52

x = 52/2 = 26

Note ∠EOD = ∠BOA = 3x - 28 = 3*26 - 28 = 50

∠AOE + ∠EOD = 180°

so

∠AOE + 50 = 180

∠AOE = 180 - 50 = 130°

Answer:

Angle 2 = angle 6 = 180 - angle 5 = 180 - 75 = 105

Angle 8 - 180 - angle 6 = 180 - 105 = 75

Angle 7 = 180 - angle 8 = 180 - 75 = 105

Answer:

21 is the correct answer kids.so do it ok bye

Answer:

B W(2,-4),X(6,-4)Y(6-10),Z(2,-10)

Step-by-step explanation:

i think dont get ur hopes ^

Answer:

The answer is 1/2

Step-by-step explanation:

to find the answer you can multiply the to given fractions.

Hope that helps!

Answer:

Step-by-step explanation:

The amount your credit score improves depends a lot on how high your utilization was in the first place. If you're already close to maxing out your credit cards, your credit score could jump 10 points or more when you pay off credit card balances completely.

Answer:

False

Step-by-step explanation:

10x3=30

30-20=10

10=20

These equations dont match.

Hence, the equation is false

Answer: This equation is FALSE. The left side 10 does not equal to the right side which is 20.

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Let's use Q10 as an example and you will work on Q11-12 as they are the same.

I believe the middle column (5x-4) wants you to substitute the given x, so:

Q10.1: 5(-2)-4

Q10.2: 5(4)-4

Q10.3: 5(0)-4

Q10.4: 5(1)-4

The right most column (f(x)) should be asking you the answers from your middle column, so:

Q10.1: -14

Q10.2: 16

Q10.3: -4

Q10.4: 1

As for the domain and range, let's define these two names in case you haven't learnt them:

Domain: What reasonable x values can be inputted into the function.

Range: What reasonable results will be shown after calculating.

In these case, you can input any real numbers into x as you like into the function, the results will always be other real numbers.

Hence, for Q10-12, D and R should be "All real numbers"

Just some extra info, Let the function f(x) be [tex]\frac{1}{x+1}[/tex]. Since the denominator cannot be 0 in a fraction, we say that the domain of x is "All real numbers except -1" as [tex]-1+1 = 0[/tex] and [tex]\frac{1}{0}[/tex] is undefined.

Answer:

10³

Step-by-step explanation:

10 x 100 = 10¹ x 10² = 10³

Answer: 10³

Step-by-step explanation: 10³

Answer:

[tex]\log_{10}2=0.3010[/tex]

Step-by-step explanation:

[tex]a^c=b \implies \log_ab=c[/tex]

Given:  [tex]2=10^{0.3010}[/tex]

Therefore,

[tex]10^{0.3010}=2 \implies \log_{10}2=0.3010[/tex]

Answer:

  56 cm²

Step-by-step explanation:

The area of the composite shape is the sum of the areas of the parts. In this case, that is the sum of the areas of the central rectangle and four (4) congruent triangles.

The rectangle has dimensions 11 cm × 4 cm, so its area is ...

  A = LW = (11 cm)(4 cm) = 44 cm²

Each triangle has a base of 2 cm, and a height of 2+1 = 3 cm. The area of each triangle is ...

  A = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm³

The total area of the rectangle and 4 triangles is ...

  area of the figure = (44 cm²) +4(3 cm²) = 56 cm²

Answer:

The correct answer is C, x = 1; x = -8

Step-by-step explanation:

[tex]x^2+7x=8[/tex]

[tex]x^2+7x-8=0[/tex] <== a = 1, b = 7, c = -8

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a} \\\\x=\frac{-7\±\sqrt{7^2-4*1*-8}}{2*1} \\\\x=\frac{-7\±\sqrt{7^2-4*-8}}{2} \\\\x=\frac{-7\±\sqrt{49+32}}{2} \\\\x=\frac{-7\±\sqrt{81}}{2} \\\\x=\frac{-7\±9}{2} \\\\x=\frac{-7+9}{2}\ \ and\ \ x=\frac{-7-9}{2} \\\\x=\frac{2}{2}\ \ and\ \ x=\frac{-16}{2} \\\\x=1\ \ and\ \ x-8\\\\x=1,\ x-8[/tex]

Hope this helps!

Answer:

  5.44 cm³

Step-by-step explanation:

The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.

The area of a hexagon with side length s is given by ...

  A = (3/2)√3·s²

For s=1 cm, the area is ...

  A = (3/2)√3(1 cm)² = (3/2)√3 cm²

__

The area of a circle is given by ...

  A = πr²

The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...

  A = π(0.5 cm)² = 0.25π cm²

__

The volume is the face area multiplied by the length, so is ...

  V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³

  V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³

The volume of the metal is about 5.44 cm³.

Answer:

B

Step-by-step explanation:

One input must have one output.

If x were to be 3, then there would be two inputs for 3, and there should only be one.

Therefore, the answer is B.