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GenaCL600 [577]
2 years ago
9

Item 9 a softball has a volume of 1256π1256π cubic inches. find the radius of the softball.

Mathematics
1 answer:
TEA [102]2 years ago
5 0
\boxed{\boxed{\text{Volume = } \dfrac{4}{3} \pi r^3}}

Given that volume = 1256π, find radius:

1256 \pi = \dfrac{4}{3} \pi r^3

r^3 = 1256 \pi \div\dfrac{4}{3} \pi

r^3 = 942

r= \sqrt[3]{942}

r = 9.8 \text{ inches (nearest hundredth)}

Answer: The radius is 9.8 inches.
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Write the equation of the line that passes through the points (1,9) and (-1,1). Put
SpyIntel [72]

Answer:

Point slope form

                 y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the points are (1,9) and (-1,1)

slope of the line

                m = \frac{y_{2}-y_{1}  }{x_{2} - x_{1} }

               m = \frac{1-9}{-1-1}

             m = 4

<u><em>step(ii):-</em></u>

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

                     y-y₁ = m( x-x₁)

                   y - 9 = 4(x-1)

                  y -9 = 4x-4

           4 x - y -4+9 =0

          4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

7 0
2 years ago
URGENT PLEASE HELP ME WITH THIS MATH QUESTION Should
Radda [10]

Answer:

A composition of transformations is a combination of two or more transformations.A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines.

Step-by-step explanation:

4 0
3 years ago
Samuel makes a dozen of mini cupcakes using 5/8 ​ cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcak
baherus [9]

I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups

I think it's 5/96 or .05208333

So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.

8 0
2 years ago
Evaluate the given expression at x= -4<br> -3x + 2x^2 + 2
Mkey [24]

Answer:

\huge{ \boxed{ \bold{ \text{46}}}}

Step-by-step explanation:

If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

\text{ \underline{ Given}} :  \text{x =  - 4}

\text{ \underline{ To \: find}} :  \sf{value \: of \:  - 3x + 2 {x}^{2}  + 2}

\text{  Plug \: the \: value \: of \: x}

➝ \:  \sf{ - 3 * (- 4 )+ 2 *  {( - 4)}^{2}  + 2}

\text{Remember!} :  \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}

➝\sf{12 + 2 *  {( - 4)}^{2}  + 2}

\text{Evaluate \: the \: power}

➝\text{12 + 2 * 16 + 2}

\text{Multiply \: the \: numbers}

➝\text{12 + 32 + 2}

\text{Add \: the \: numbers}

➝  \boxed { \text{46}}

\text{Hope \: I \: helped!}

\text{Best \: regards!}

~\text{TheAnimeGirl}

7 0
3 years ago
Read 2 more answers
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
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