What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Answer:

Circle A: 265.9 cm²

Circle B: 2002.96 inches²

Step-by-step explanation:

Hi there!

Circle A

[tex]A=\pi r^2[/tex] where r is the radius of the circle

Plug in the radius 9.2 cm

[tex]A=\pi (9.2)^2\\A=84.64\pi \\A=265.90[/tex]

Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.

Circle B

[tex]A=\pi (\frac{d}{2}) ^2[/tex] where d is the diameter of the circle (because radius=diameter/2)

Plug in the diameter 50.5 inches

[tex]A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96[/tex]

Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.

I hope this helps!

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

Answer:

x >46/3

Step-by-step explanation:

Do the product first because of the more than

-3x + 17 < -29

Subtract 17 from each side

-3x + 17 -17< -29-17

-3x < -46

Divide each side by -3, remembering to flip the inequality

-3x/-3 > -46/-3

x >46/3

Answer:

2.5x10^1

Step-by-step explanation:

When the first number goes down, add one to the 10's power

Answer:

2.5x10∧1

Step-by-step explanation:

Answer:

She needs 280 grams of almond flour.

Step-by-step explanation:

This question can be solved using a rule of three.

400 grams is 100% = 1. How much is 70% = 0.7?

400 grams - 1

x grams - 0.7

x = 400*0.7

x = 280

She needs 280 grams of almond flour.

Answer:

120g

Step-by-step explanation:

70% of flour in 400g is expressed as

= 70/100×400

=0.7×400

=280g

Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is

=400g-280g

=120g

Thus, Mrs Garcia requires 120g of almond flour

Answer:

0.9452

Step-by-step explanation:

Answer for Khan academy

The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

We can start by standardizing the sports bicycle price using the formula:

z = (x - μ) / σ

where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.

Substituting the values, we get:

z = (380 - 300) / 50 = 1.6

Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.

From the z-table, we find that this proportion is approximately 0.9452.

Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

Learn more about the z-score here:

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Answer:

A point on either side of the line

Step-by-step explanation:

To determine which side to shade, you look at a point on each side of the line.  One will make the inequality true  and one will not.  Shade on the side that will make the inequality true

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

               130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                    8 - 0                  8

The average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

Average rate of change of the function is a rate of change of the function, on an average, over the given interval. i.e. values of [tex]x[/tex] and [tex]y[/tex] .

Using slope formula we find Average rate of change of the function.

i.e. [tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

We have,

[tex]f(x)=2x-\frac{1}{3} x+5[/tex]

[tex]x_{1} = 0[/tex] to [tex]x_{2}= 6[/tex]

So,

First find [tex]f(x_{1})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(0)=2*0-\frac{1}{3} *0+5[/tex]

[tex]f(x_{1})=5[/tex]

Now, find [tex]f(x_{2})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(2)=2x*2-\frac{1}{3} *2+5[/tex]

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

[tex]f(x_{2})=\frac{15}{2}[/tex]

Now, putting values of [tex]f(x_{1})[/tex] and [tex]f(x_{2})[/tex] in given formula of  [tex]f(x)[/tex],

i.e.

[tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

[tex]f(x)=\frac{\frac{15}{2}-5 }{6-0}[/tex]

[tex]f(x)=\frac{\frac{15-10}{2} }{6}[/tex]

[tex]f(x)=\frac{5} {12}[/tex]

So, the average rate of change of the function is [tex]\frac{5}{12}[/tex], which is find out using the slope formula.

Hence, we can say that the average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

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Answer:

10/27

Step-by-step explanation:

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

Answer:2490-2312=w; w=178 so 178 pounds

Step-by-step explanation:

Answer:

hey!

Your answer is 178 pounds!!

Step-by-step explanation:

by doing 2490lb-2312lb gives us the value of w

soo w=178 pounds!!

HOPE THIS HELPS!!

Answer:

-5^ -1 = 1/(-5) = -1/5

-1/y^(-4) = -(1/(1/y^4)) = -y^4

5^4 x 5^7 = 5^(4 + 7) = 5^11

Hope this helps!

:)

Answer:

1. -1/5

2. -y⁴

3. 5¹¹

Step-by-step explanation:

1. simplify -5^ -1

1/(-5)

-1/5

2. simplify -1/y^ -4

-1 × y⁴

-y⁴

3. simplify 5^ 4 x 5^ 7

5^(4+7)

5¹¹

Answer: a) = 10

b) = 16

Step-by-step explanation:

a) as x = 5 so putting the value of x in given equation

5 multiplied by 2 is equal to 10

b) Putting value of x in given equation

= (5 + 3) 2

According to BODMAS solve the brackets first

= 8 x 2

= 16

Answer:

4, know that in a slope-intercept form the coefficient of x is the slope.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms

ANSWER IS ONE THE SHEET

hope this help

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

Answer:

Step-by-step explanation:

hello : 2x+5y= - 6

1) the x-intercept when y=0 : 2x+5(0)= -6

means : 2x=-6   so : x=-6/2 = -3

2) the y-intercept when x=0 : 2(0)+5y= -6

means : 5y=-6   so : x=-6/5

Answer:

17/12 or 1 5/12

Step-by-step explanation:

Answer:

The 10th person who enters the mall about their fav cookie.

Step-by-step explanation:

in a concert they went there bcs they like that band. In the sport one they like that sport team so they watch it. The sisth grade one is just wrong bcs it just is.

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

Answer:

Step-by-step explanation:

Value of a cube = length*height*width

Value of a cube = 44*45*43

                          = 85140

I hope it'll help you much

Thank you for asking

Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

Answer:

4:12, 4 to 12, or 4/12

Step-by-step explanation:

this is so simple, first see how many down arrows are there

down arrows: 4

then count the total arrows

total: 12

down arrows to total arrows

4:12

The formula for the area of a circle is A = pi x (radius^2).

We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.

radius = 6 / 2 = 3 units

Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.

A = pi x 3^2

A = 9pi

A = 4.5pi = 14.13 units^2

Hope this helps! :)

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...(◕ᴗ◕✿)

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

Answer:

8.a 9.acb

Step-by-step explanation:

good luck

Answer:

New area of Eduardo's farm after the increase = x² + 4x + 4

Nova área da fazenda de Eduardo após o aumento = x² + 4x + 4

Step-by-step explanation:

English Translation

The land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically. If before the increase the land was shaped like an x-side square, what is the new area after the increases?

Solution

The previous area of Eduardo's farm is the are of a square with side lenght of x.

Area of a square = (side length)² = x²

Then, the land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically.

New horizontal length of Eduardo's farm = (x+2)

New vertical length of Eduardo's farm = (x+2)

New area of Eduardo's farm = (x+2)(x+2)

= x² + 4x + 4

In Portugese/Em português

A área anterior da fazenda de Eduardo é a de um quadrado com comprimento lateral de x.

Área de um quadrado = (comprimento lateral)² = x²

Em seguida, o terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical.

Novo comprimento horizontal da fazenda de Eduardo = (x + 2)

Novo comprimento vertical da fazenda de Eduardo = (x + 2)

Nova área da fazenda de Eduardo

= (x + 2) (x + 2) = x² + 4x + 4

Hope this Helps!!!

Espero que isto ajude!!!

Answer:

4 miles per hour is the speed

Answer: 4 miles per hour

Step-by-step explanation:

distance=1/2miles=0.5miles

time=1/8hours=0.125hours

Speed=distance ➗ time

Speed =0.5 ➗ 0.125

Speed =4 miles per hour

The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

   "2222 more than 5555"

can be written as the expression

   2+52 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

   "3333 more than xxxx"

can be written as the algebraic expression

   x+3x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Different words for addition, subtraction, multiplication, and division

Here is a table that summarizes common words for each operation:

Operation Words Example algebraic expression

Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3

Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6

Multiplication times, product 8k8k8k8, k

Division divided, quotient a÷9a \div 9a÷9a, divided by, 9

For example, the word "product" tells us to use multiplication. So, the phrase

   "the product of 8888 and kkkk

Let's take a look at a trickier example

Write an expression for "mmmm decreased by 7777".

Notice that the phrase "decreased by" tells us to use subtraction.

So the expression is m−7m - 7m−7m, minus, 7.