SIMPLIFY THE EQUATION BELOW

Answer: Water in the container = 87.75 cu.inches.

Step-by-step explanation:

Formula: Volume of rectangular prism = Base area x height

Base area = [tex]19\dfrac12[/tex] sq. inches    Height = [tex]4\dfrac12[/tex] inches

So,

Volume of container = [tex]19\dfrac12\times4\dfrac12\text{ cu.inches}[/tex]

[tex]=\dfrac{39}{2}\times\dfrac{9}{2}\text{ cu.inches}[/tex]

[tex]=\dfrac{351}{4}\text{ cu.inches}[/tex]

[tex]=87.75\text{ cu. inches}[/tex]

Hence, Water in the container = 87.75 cu.inches.

Answer: 3.5 meters

Step-by-step explanation:

First and foremost, we need to note that 1000 millimeters = 1 meter. Therefore, for us to convert 3500 millimeter to meters, we have to divide it by 1000. This will be:

= 3500/1000

= 3.5 meters

Answer:

The answer is B

Step-by-step explanation:

when you put 0 as a power the answer will be 27

when you put 1 as a power the answer will be 9

when you put 2 as a power the answer will be 3

when you put 3 as a power the answer will be 1

when you put 4 as a power the answer will be 1/3

Answer:

68

Step-by-step explanation:

8 x 40 = 320

9 x 28 = 252

320 - 252 = 68

Answer:

7.8a + 15 =77.4

subtract 15

7.8a = 62.4

divide 7.8

a = 8

Izzie answer 8 answers correct.

Answer:

1) 3 cm hope this helps.

Step-by-step explanation:

Answer:

x=11

y=48

Step-by-step explanation:

Answer: 1.8 miles per week

Step-by-step explanation:

The European lynx travelled for 301 days and in that time covered a distance of 77.8 miles.

Convert the number of days to weeks:

= 301 / 7

= 43 weeks

If it travelled 77.8 miles in 43 weeks, its speed was:

= 77.8 / 43

= 1.8 miles per week

Answer:

64π

Step-by-step explanation:

to find the area of a circle use the following formula

πr²

That means we have π8²

which will simplify into 64π

Answer:

Step-by-step explanation:

where r means redious

so

given

r=8cm

using the formula πr²

the area of the circle Is

π×8² cm² (as redious =8)

π×64

therefore

64π (in terms of π)

Answer:

2. 0.2x

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

The dices are

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

Value greater than 8= 2

Total= 36

P( Value greater than 8)=2/36

= 1/18

Answer:

3.38pi

Step-by-step explanation:

Using simple math and the equation for finding the volume of a sphere, we can see that by taking the height of 10, and the volume of 30, that with that information we can deduce that the radius of the cone would be 1.69pi. With this information, we know the radius is half of the diameter. Therefore, we multiply 1.69 by 2, to get our end result, 3.36pi

Answer:

Step-by-step explanation:

A Perpendicular Bisector cuts a segment into two equal parts. We already know that 4x+19 and 6x-7 are both equal.

So then, you would start with 6x-7 = 4x+19.

6x-7 = 4x+19

Subtract -4x from both sides

2x-7 = 19

Add 7 to both sides

2x = 26

Divide both sides by two

x= 13

You only need x, so you're done.

(I'm like 90 percent sure this is wrong man don take my word for it bro).

The value of x will be 13.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

EF is the perpendicular bisector of CD.

Measure of length CE = 4x + 19

Measure of length ED = 6x - 7

Now,

Since,  EF is the perpendicular bisector of CD.

So, We can formulate;

⇒ Δ EFC ≅ Δ EFD

Hence, Measure of length CE = Measure of length DE

Substitute all the values, we get;

⇒ 4x + 19 = 6x - 7

Solve for x as;

⇒ 4x + 19 = 6x - 7

Subtract 6x both side, we get;

⇒ 4x - 6x + 19 = 6x - 7 - 6x

⇒ - 2x + 19 = - 7

Subtract 19 both side,

⇒ - 2x + 19 - 19 = - 7 - 19

⇒ - 2x = - 26

Divide by - 2, we get;

⇒ x = 13

Thus, The value of x will be 13.

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The graph for the given exponential function is given below.

The given function is [tex]y=4^x+1[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=1.

Horizontal Asymptote: y=1

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): None

y-intercept(s): (0,2)

Therefore, the graph for the given exponential function is given below.

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Answer:1.77200451467

Step-by-step explanation:

Answer:

[tex]\sqrt{57}[/tex] or 7.54983

Step-by-step explanation:

Answer:

x=t/5

Step-by-step explanation:

5x=t

multiply both sides by 5 to make x the subject

x=t/5

Answer: 5x=t

              x=t/5(Ans)

Step-by-step explanation:In order to make x the subject,We can start by removing the 5 that is multiplied with x.To do that divide both sides with 5. 5x divided by 5 is x and t divided by 5 is t/5.Therefore the final answer after making x the subject will be x=t/5.

Answer:

The system of equations =

25 + 0.05x = 12 + 0.09x

The number of stickers where the cost of both printers to be equal is 325 stickers

Step-by-step explanation:

Let the number of stickers = x

Printer 1

Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.

$25 + $0.05× x

25 + 0.05x

Printer 2

Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.

$12 + $0.09 × x

12 + 0.09x

We equate both equations together

The system of equations =

25 + 0.05x = 12 + 0.09x

Collect like terms

25 - 12 = 0.09x - 0.05x

13 = 0.04x

x = 13/0.04

x = 325 stickers

Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers

Answer:

point - a specific spot on the graph

line - a ray with both sides never ending

ray - a line with one side ending

segment - a specific piece of the line

plane - a never ending surface

Step-by-step explanation:

i took geometry last yearish

u figure out the height by doing the square root of 95.2 - the square root of 34

then u take that # and you do square root of 168 - the square root of the height and that will give u yk

then u add yk +34 and that is x

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

x² = 6(6 + 18) = 6 × 24 = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

B.

Step-by-step explanation:

2,400 = 7,500[tex](10)^{x}[/tex]

First of all, you want to isolate the [tex](10)^{x}[/tex] by dividing each side by 7,500.

After doing this, you will get

[tex]\frac{2400}{7500}[/tex] = [tex](10)^{-x}[/tex].

Putting this in the logarithmic form, you get [tex]log_{10}[/tex] [tex]\frac{2400}{7500}[/tex] = - x

To get rid of the negative sign, you would simply multiply both dies of the equation by -1. So you would get  [tex]-log_{10} \frac{2400}{7500}[/tex] = x.

When you simplify 2400/7500, you get 8/25, so the answer is B.

Hope this helps!

You can use the definition of logarithm here.

The logarithmic equation that is equivalent to the given exponential function is given by:

Option C:   [tex]x = -\rm log(\dfrac{8}{25})[/tex]

The equivalent exponential function to given logarithmic equation.

Logarithm is  inverse function to exponentiation.

That means:

[tex]e^a = b \implies a = log_e(b)[/tex]

[tex]2400 = 7500(10)^{-x}\\\\ \dfrac{2400}{7500} = 10^{-x}\\\\ 10^{-x} = \dfrac{8}{25}\\\\ -x = log_{10}(\dfrac{8}{25})\\\\ x = -log_{10}(\dfrac{8}{25})\\\\[/tex]

Since log with base 10 is simply written log, thus,

The logarithmic equation that is equivalent to the given exponential function is given by:

Option C:   [tex]x = -\rm log(\dfrac{8}{25})[/tex]

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Answer:

0.2%

Step-by-step explanation:

4÷20 hope this helps

Answer:

you ate 20% of the candy

Step-by-step explanation:

4/20=1/5 or 20%

Answer:

10:50

Step-by-step explanation:

Answer:

$10.50 for 10 miles & 0.75m+3 for "m" miles

Step-by-step explanation:

if the taxi charges $3 just for showing up, then in the formula (y=mx+b) 3 would be your "b"

y = mx + 3

if the taxi is charging $0.75 per mile, the mile will be your "x" in the formula, and 0.75 will represent your "m" in the formula

y = 0.75x + 3                 - this is your equation for "m" miles

to find how much for 10 miles, substitute 10 for "x" in your formula

y = 0.75 (10) +3

y = 10.50

so it is $10.50 for 10 miles, including the 3 dollar pick up fee.

Answer:

28ft by 48ft

Step-by-step explanation:

7*4=28, 12*4=48

Answer:1

Step-by-step explanation:the y is a place holder instead of the digit 1 because there is only one y. Whitch is the same reason why the 2 isn’t 2x because the 2 is a place holder for how many x there are. The problem is showing you how much value each place holders have. (x,y)

Answer:

-210

Step-by-step explanation:

The percent decrease in the time taken by Celesta is 33.33%.

Percentage of a number is the parts per 100. Or percentage of a number can be calculated by dividing the number with the whole with respect to which we are finding the percentage of the number and then multiply with 100.

Percentage is a dimensionless number because percentage is not measured by any units.

Percentage decrease can be calculated by the formula,

Percentage Decrease = [(Original value - New value) / Original value] × 100

Time that Celesta used to spend on the phone a day = 90 minutes

Original value = 90

Now, celesta spends 60 minutes a day

New value = 60

Percentage decrease = [(90 - 60) / 90] × 100

                                    = [30 / 90] × 100

                                    = [1 / 3] × 100

                                    = 33.33 %

Hence the percent decrease in the time taken by Celesta in a day is 33.33%.

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The conjugate number of the complex number 21 - 20i will be 21 + 20i.

The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.

In mathematics, a complex number is a part of a number system that includes an element labeled I often known as the imaginary unit, and that extends the real numbers while satisfying the equation i2 = 1.

The given complex number is 21-20i. The conjugate complex number will be:-

21-20i = 21 + 20i

Therefore, the conjugate number of the complex number 21 - 20i will be 21 + 20i.

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