To which family does the function y = (x 2) superscript one-half baseline 3 belong? quadratic square root exponential reciprocal

The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.

The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.

Mathematically, the volume of a cone can be expressed as:

[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]

where;

[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]

[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]

[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]

The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:

V = πr²h

V = π(2.5)² × 9

V = 3.14 × (2.5)² × 9

V = 176.625 inches³

The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]

=  3

Learn more about the volume of cone and cylinder here:

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Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

Answer:

166,649.

Step-by-step explanation:

49

∑ (2n + 1)^2 =    4∑n^2 + 4∑n + 49

0

=  (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49

=  2/3 * 49* 50 *99 + 2*49*50 + 49

= 161700 + 4900 + 49

= 166649

Answer:

D)  30

Step-by-step explanation:

AB is the diameter of the circle

AB = AE + EB

     = 25 + 9

     = 34

OB, OC and OD are all the radius of the circle.

Radius = half the diameter

Therefore, OB = OC = OD = 34 ÷ 2 = 17

ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE

OE = OB - 9

     = 17 - 9

     = 8

Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]

(where a is one of the congruent side lengths and h is the height)

[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]

[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]

[tex]\implies CD=30[/tex]

Answer:

x = 4 ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x + 16 = 3 ← the left side is a perfect square

(x - 4)² = 3 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{3}[/tex]

Answer:

Explanation:

solve, insert equation 2 into 1

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

Total $327.

If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.

Answer:

D read the problem carefully and find the question. :)

Have an amazing day!!

Please rate and mark brainliest!!

option C and D (C is actually)

So steps are

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

Answer:

Step-by-step explanation:

Answer:

1 5/8 inches

Step-by-step explanation:

Hey there!

The question is asking what the difference in the length between the longest meteor and the shortest meteor is.

In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values

we can convert 1 7/8 to 15/8 to make the subtraction more simple

15/8-2/8=13/8 which is 1 5/8

So the difference between the longest and shortest meteor is 1 5/8 inch

Answer: 1 5/8.

Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8.  Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem.  The work is done below:

1 7/8 - 2/8 = 1 5/8.

Hope this helps! :)

Answer:

50.46???

Step-by-step explanation: im bad at  this so if it help ima be proud nut uhhh i tryed ...

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

Answer:

n

(

−

2

)

n

4

+

n

Step-by-step explanation:

Answer:

Check out the attached photo it might help

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²

A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

Thus, we can express the area of its base in terms of its volume as:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]

Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²

Learn more about right rectangular prism here:

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Answer:

3V/h units^2

Step-by-step explanation:

Answer:

I hope this helps, you can ask any questions for clarification

Answer:

Step-by-step explanation:

4.17 is equivalent to 4.17 × 100.  NO  4.17 x 100 = 417

[If this is really 4.17 is equivalent to 4.17 × 10^0.  Then YES.  10^0 = 1]

4.17 is equivalent to 4.17 × 101.   NO  4.17 x 101 = 421.17

Again, if this is 10^1, then no.  10^1 = 10

The product has a positive exponent.   YES  

The coefficient is 6.

Coefficient?  NO.  Exponent?  Then YES

The E in the product is the indicator that the solution is in scientific notation.  YES  4.17E6 is 4.17 x 10^6

The exponent of the product is the product of the original exponents.

NO.  In multiplication, the exponents are added (as long as they have the same base)

EDGE 2022

2Answer:

a. 68%

b. 95%

c. 2.35%

Step-by-step explanation:

empirical rule is the

68–95–99.7 rule

a. 68%

b. 95%

c. 99.7 - 95 = 4.7 then 4.7/2 =

2.35%

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

Answer:

The answer of how many cars is 23