what is the length of vw?​

Answer:

  D.  9 cm

Step-by-step explanation:

The radius of the sphere can be found by solving the volume equation for the radius.

  V = 4/3πr³

  3V/(4π) = r³

  r = ∛(3V/(4π)) = ∛(3×3052/(4×π)) ≈ ∛728.611

  r ≈ 9.0 cm

The radius of the sphere is about 9 cm.

A linear transformation is used to illustrate a linear operator

It is true that U(T(x)) = x for all values of x

The linear functions are given as:

U(x1) and U(x2)

Given that the function U(x) is a one-one-one function, then we have:

T(U(x1)) = T(U(x2))

This becomes

x1 = x2

The above equations mean that the function U is invertible

So, we have:

S(U(x)) = U(S(x)) = x for all values of x

Also, we have:

T(U(x)) = x for all values of x.

This means that,

T(x) =  S(x) and U(T(x)) = x for all values of x, because U(S(x)) = x for all values of x

Hence, it is true that U(T(x)) = x for all values of x

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Answer:

43

Step-by-step explanation:

the quotient is 3x⁴_4x²+7x_12

Answer:

i think its A

Step-by-step explanation:

hope this helps :>

Answer:

13.18651685

13.9

Explain:

890-238=652
652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)

And of course we need to round it to nearest tenth. So the answer would be 13.9!

The time taken for the element to decay to 238 grams is 13.9 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that element X decays radioactively with a half-life of 9 minutes. If there are 890 grams of Element X,

The time taken will be calculated as,

890-238=652

652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

Therefore, the time taken for the element to decay to 238 grams is 13.9 minutes.

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The approximate diameter of the circular plate with circumference of 68.5 centimetre is 21.82 centimetres.

The circumference of a circle is the perimeter of a circle. Therefore, the formula of a circle can be represented as follows:

circumference = 2πr

where

Therefore,

circumference = 68.5 cm

68.5 = 2 × 3.14 × r

r = 68.5 / 6.28

r = 10.9076433121

radius = 10.907

Diameter = 2(radius)

Diameter  = 2 × 10.9076433121

Diameter = 21.8152866242

Diameter = 21.82 cm

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Answer: 3

Step-by-step explanation:

3 minus 2 is 1.

1 to the power of 2 is still 1.

4 minus 1

= 3

Answer:

scalene right

Step-by-step explanation:

it has a right angle in it and all the sides are different.

Answer: See below

Step-by-step explanation:

Let s represent Sipho's age and let l represent Litha's age

The sum of their ages is 29 years

s + l = 29...(1)

In 6 years time, Sipho (s+6), will be the same age Litha was 3 years ago (l-3)

(s+6) = (l-3)...(2)

Age:

s + l = 29

s = 29 - d (express c in d)

(29-s+6) = s - 3 (substitute c)

s+(29-s+6) = s+(d-3)

29+6 = 2s -3

29+6+3 = 2s

38 = 2s

19 = s

Back to (1):

l = 29 - 19

l = 10

Therefore, Sipho is currently 19 years old and Litha is 10 years old

The current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.

A linear equation is the equation in which the highest power of the unknown variable is one.

To solve this problem, let's make the linear equations by the given statement.

Let x be the age of Sipho and y is the age of Litha. The sum of their ages is 29. Therefore,

[tex]x+y=29\\y=29-x[/tex]

Thus, the age of Litha is (29-x)

In 6 years' time, Sipho will be the same age as Litha was 3 years ago. Therefore,

[tex]x+6=(29-x)-3\\x+6=29-x-3\\x+x=29-3-6\\2x=20\\x=\dfrac{20}{2}\\x=10[/tex]

Thus, the age of Sipho is 10 years. The age of Litha is,

[tex]y=29-10\\y=19[/tex]

Hence, the current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.

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Answer:

1072.3 cm³ (1 dp)

Step-by-step explanation:

A hemisphere is half a sphere.

Therefore, calculate the volume of a sphere with radius 8 cm, then half it.

Volume of a sphere = 4/3 π 8³

                                  = 4/3 × π × 512

                                  = 2048/3 π cm³

Volume of hemisphere = (2048/3 π) ÷ 2

                                       = 1024/3 π

                                       = 1072.3 cm³ (1 dp)

I HOPE THIS HELPS

The parts of the expression, 5(4x + 2) ÷ 7y,

are:Sum: 4x + 2

Term: 7y

Product: 5(4x + 2)

Factor: 5

Quotient: 5(4x + 2) ÷ 7y

Coefficient: 7

What are the Parts of an Expression?

- Sum means addition, therefore, an example of sum in the expression, 5(4x + 2) ÷ 7y, is: 4x + 2.

- An example of a term is in 5(4x + 2) ÷ 7y is: 7y.

- Product means multiplication. An example of a product is: 5(4x + 2).

- An example of a factor in 5(4x + 2) ÷ 7y, is 5.

- Quotient means division. An example is: 5(4x + 2) ÷ 7y.

- Coefficient is a number multiplying a variable. An example is: 7 or 4.

Therefore, the parts of the expression, 5(4x + 2) ÷ 7y, are:

Sum: 4x + 2

Term: 7y

Product: 5(4x + 2)

Factor: 5

Quotient: 5(4x + 2) ÷ 7y

Coefficient: 7

The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.

A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..

Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
(250+87+1300+470-200+34.76+102.71+45.90+84.60)/9

ADB= $241.66

B) Liam's Monthly Periodic Rate (MPR) is the Annual Interest Rate divided by the number of periods. In this case, that will be:

19.8%/12

MPR = 1.65%

C) Liam's Finance Charge is (Average Daily Balance * APR)/365.

That is (241.66 * 19.8)/365 = 13.11%

D) Liam's New Balance is calculated by removing new inflow from old balance. That is

(250+87.60+1,300+470.63+34.76+102.71+45+848.60)-3,240.5

= $-101.20

E) Liam's Available Line of Credit is clearly stated as $4,000.

See the link below for more about Bank Account Information:

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Answer:

Revenue

$21.30

Profit:

$ 6.30

Step-by-step explanation:

The distance around would be the circumference.

Circumference formula = diameter x pi

circumference = 20 x 3.14 = 62.8 feet

Answer: 62.8 feet

Sorting involves arranging a set of elements in a particular order (ascending or descending)

The list elements are given as:

3, 2, 4, 5, 1, 6

To sort the list in ascending order, the adjacent elements are compared, and the smaller element is pushed to the left.

So, we have the following steps

See attachment for the complete step that sorts the list

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Answer:

X=6

Step-by-step explanation:

We know that the perimeter is the sum of all its sides.

[tex]P=63\\P=(4x-3)+(4x-3)+(4x-3)\\P=P\\(4x-3)+(4x-3)+(4x-3)=63\\12x-9=63\\12x=72\\x=\frac{72}{12} \\x=6[/tex]

Answer:

B. The graph of g(x) is narrower than the graph of f(x)

D.The graph g(x) is 8 units above the graph of f(x)

check the image given below.

Answer:

Step-by-step explanation: Hi there.

We can treat this problem just like a simple subtraction problem, like 3-2

It helps to form the equation like this:

x^2+9x+18

- (1x+06)

Remember that the operation changes the sign: -1x-6

The result is x^2+8x+12, and it is already in standard form.

Have a nice day! :)

Answer:

x² + 8x + 12

Explanation:

given:

solve function:

→ f(x) - g(x)

→ x² + 9x + 18 - (x + 6)

→ x² + 9x + 18 - x - 6

→ x² + 9x -x + 18 - 6

→ x² + 8x + 12

Answer:

volume: 49280 cm³  and   curved S.A = 5826.64 cm²

Explanation:

using similarities:

[tex]\sf \frac{45 + h2}{28} = \frac{h2}{7}[/tex]

[tex]\sf 315 + 7h2 = 28h2[/tex]

[tex]\sf 315 = 28h2-7h2[/tex]

[tex]\sf 315 = 21h2[/tex]

[tex]\sf 15 = h2[/tex]

total height of the cone: 45 + 15 = 60 cm

solve for volume:

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

[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi (28)^2 (60)[/tex]

[tex]\sf volume \ of \ cone \ = 15680\ *\frac{22}{7}[/tex]

[tex]\sf volume \ of \ cone \ = 49280 \ cm^3[/tex]

First find the slant height using Pythagoras theorem -

[tex]\sf l^2 = r^2 + h^2[/tex]

[tex]\sf l =\sqrt{ r^2 + h^2}[/tex]

[tex]\sf l =\sqrt{ (28)^2 + (60)^2}[/tex]

[tex]\sf l =66.212 \ cm[/tex]

solve for curved surface area:

[tex]\sf curved \ surface \ area = \pi rl[/tex]

[tex]\sf curved \ surface \ area = \pi (28)(66.2)[/tex]

[tex]\sf curved \ surface \ area =5826.64 \ cm^2[/tex]

Answer:

[tex]\sf x=-4[/tex]  [tex]\sf \ and[/tex]  [tex]\sf y=45[/tex]

Step-by-step explanation:

given:

[tex]\sf{-\frac{1}{2} x+\frac{1}{5} y=11}[/tex]

[tex]\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }[/tex]

make x subject:

[tex]\sf{-\frac{1}{2} x+\frac{1}{5} y=11}[/tex]

[tex]\sf{-\frac{1}{2} x =11-\frac{1}{5}y}[/tex]

[tex]\sf{- x =22-\frac{2}{5}y}[/tex]

[tex]x =-22+\frac{2}{5}y}[/tex]

solve using substitution method:

[tex]\sf{3 x+\frac{1}{4} y=-\frac{3}{4} }[/tex]

[tex]\sf{3 (-22+\frac{2}{5}y) +\frac{1}{4} y=-\frac{3}{4} }[/tex]

[tex]\sf-66 +\frac{6}{5} y+\frac{1}{4} y = -\frac{3}{4}[/tex]

[tex]\sf 1.45y = 65.25[/tex]

[tex]\sf y=45[/tex]

then x will be:

[tex]x =-22+\frac{2}{5}y}[/tex]

[tex]x =-22+\frac{2}{5}(45)}[/tex]

[tex]\sf x=-4[/tex]

Answer: (k - 1) (9k^2 + 1)

The normal approximation to the binomial is when you use a continuous distribution (the normal distribution) to approximate a discrete distribution (the binomial distribution).

Answer:

19.2 cups of onion

Step-by-step explanation:

Given a salsa recipe uses green pepper, onion, and tomato in the extended ratio 4:5:6, how many cups of onion are needed to make 72 cups of salsa?

4x + 5x + 6x = 72

⇒ 15x = 72

⇒ x = 72 ÷ 15

⇒ x = 4.8

Onion: 4x = 4 x 4.8 = 19.2 cups

Answer:

[tex]{\large{ \red{{{19.2 }}}}}[/tex]

Solution:

[tex]4x + 5x + 6x = 72[/tex]

[tex]⇒ 15x = 72[/tex]

[tex]⇒ x = \frac{72}{15}[/tex]

[tex]⇒ x = 4.8[/tex]

Onion: [tex]4x = 4 \times 4.8 = 19.2 cups[/tex]

Let's say we had this data set

This is a collection of whole numbers and decimal values. We need to standardize everything so every value is the same length exactly. Something like "12" involves 2 digits while "12.7" involves 3 digits. We can rewrite 12 into 12.0 to standardize everything to 3 digits. Same goes for 13 into 13.0 and 14 into 14.0

This is the new updated list

Everything now has a decimal point and involves exactly 3 digits.

From here, we'll form the stems: 12, 13, 14

The leaf values are the last digit. Each separate leaf digit refers to one exact number from the original data set.

Refer to the stem-and-leaf plot below.

As you can see, something like 13.0 is smaller than 13.1; therefore, the whole numbers are smaller than the decimal values for a given stem only.

The slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Given that the line passes through the points (0,-10) and (-4,-11).

From the formula to find the slope of a line which passes through points

m= y2-y1 / x2-x1

Substitue the points (0,-10) and (-4,-11).

The slope = m = -11-(-10) /. -4-0

m = -1/-4

m = 1/4

Therefore, the slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.

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Answer:

They are not similar,

the reason why is because 56 degrees is given and the two sides that form the angle are the same length whilst the other triangle has two uneven sides that form a 56 degree angle.

Answer:

  yes, they are proportional

Step-by-step explanation:

A proportion is a relation that can be modeled by a straight line through the  origin. The equation will have the form ...

  y = kx

where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.

__

If you start with the equation relating distance, rate, and time:

  d = rt

and you fix the time at 50 seconds, then the equation becomes ...

  d = 50t

This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.

Answer:

She soled 58 small prints and one big print