Owen draws the cube shown.

Write an expression using an exponent that could be written to represent the volume of the cube.

Then, solve your expression to find the cube's volume. Make sure to include the correct unit.

(Volume Formula = length x width x height)

Answer:

? = sin θ

Step-by-step explanation:

csc θ =1/?

csc θ =1/sin θ

The  equation in logarithmic form is log₄(64) = 3

Given the equation is:

64 = 4³

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function a y = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).

A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form

Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.

log₄(64) = 3

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Answer:

answer is

[tex] {2.94 \times 10}^{ - 3} [/tex]

Step-by-step explanation:

3*1/1000-6*1/100000=0.003-0.00006

=

[tex] {2.94 \times 10}^{ - 3} [/tex]

Answer:

4:7

Step-by-step explanation:

thats the answer mate

Answer:

4 : 7

Step-by-step explanation:

28 : 49 ← divide both parts by 7

= 4 : 7 ← in simplest form

the ratio is in simplest form when no other value but 1 divides into the 2 parts of the ratio.

well, we know the rate is compounding at 800% per minute.

the elapsed time will be 12 seconds, and since a minute has 60 seconds, that'd be 12/60 minutes.

the compounding period is 3 seconds, and since a minute has 60 seconds, that means is compounds 60/3 times, or namely 20 times.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 800\%\to \frac{800}{100}\dotfill &8\\ n= \begin{array}{llll} \textit{times it compounds per minute}\\ \textit{twenty times} \end{array}\dotfill &20\\ t=minutes\to \frac{12}{60}\dotfill &\frac{1}{5} \end{cases}[/tex]

[tex]A=20000\left(1+\frac{8}{20}\right)^{20\cdot \frac{1}{5}} \implies A =20000(1.4)^4\implies A=76832[/tex]

Answer:

I and III

Step-by-step explanation:

I.

-6 - x ≤ 7

-6 - (-13) ≤ 7

-6 + 13 ≤ 7

7 ≤ 7

True

II.

-6 - x ≤ 7

-6 - (-14) ≤ 7

-6 + 14 ≤ 7

8 ≤ 7

False

III.

-6 - x ≤ 7

-6 - (-6) ≤ 7

-6 + 6 ≤ 7

0 ≤ 7

True

I hope this helps!

Answer:

Step-by-step explanation: i thank the answer is 100 .

After 1.842 hours the price of Stock A and Stock B will be the same using a set of linear equations.

A grouping of one or more linear equations containing the same variables is known as a system of linear equations.

For Stock A :

The initial price = $15.03

The rate of increase = $0.05

For Stock B :

The rate of decrease = $15.53

The rate of decrease per hour = $0.13

Then the price of stock A at noon will be:

$ 15.03 + $ (0.05 × 3) = $ 15.03 + $ 0.15 = $15.18

The period of time during which the stock price will remain constant:

15.18 + 0.05t = 15.53 - 0.14t

Simplifying the terms we get,

0.05t + 0.14t = 15.53 - 15.18

0.19t = 0.35

t = (0.35 ÷ 0.19) hours

t = 1.842 hours

Therefore, the stocks will be of equal price after 1.842 hours.

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Answer:

x = -2

Step-by-step explanation:

The equation is,

→ 17 + x = 15

Now the value of x will be,

→ 17 + x = 15

→ x = 15 - 17

→ [ x = -2 ]

Hence, the value of x is -2.

Step-by-step explanation:

17+x=15

17+x-17=15-17

x=-2

Step-by-step explanation:

start by collecting like terms

4x² - 6x -9

use quadratic equation, a=4, b= 6 and 9 = c.

x = 5,78 or x = -4,28

Answer:

1) R = 1 S = 3 T = 1

2) R = 1 S = 3 T = 1

3) R = 1 S = 3 T = 1

Step-by-step explanation:

Surprisingly each of the situations end up with 1, 3, 1. I double checked with a calculator and they all end up being true. Hope this helps. Have a great night. :)

Answer:

Each bottle cost $3.99.

Step-by-step explanation:

$20-$8.03=11.97

Each bottle = $11.97÷3

=$3.99

So now each bottle cost$3.99

Answer:

Close to 3 since 8 is close to 9.

The actual value was 2.8, so I approximated what was closest to it using rounding and the most logical explanation.

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote )

                                         x = 1 ( removable / hole)

x - intercept = 1 , y -  intercept = 3

Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).

y=3x-3 / x²-1

= 3(x-1)/(x+1)(x-1)

The domain of given points are :

IR x ≠ ±1

Points of discontinuity - x = -1 ( non removable / asymptote)

                                       x = 1( removable / hole)

x-intercept :

3(x-1)=0

3x-3=0

x=1

y - intercept :

3(0-1)/(0+1)(0-1)=3

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Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

8 + (9- 1) ÷ 4

Use PEMDAS to determine order of operations in a mathematical expression

The order of operations is

P = parentheses
E = exponent

M = multiplication

D == division

A = addition

S = subtraction

Note that multiplication and division have the same priority and we go from left to right that case. Because it does not affect the answer.

So 12 ÷ 4 x 6 = 12 x 6 ÷ 4
Same for addition and subtraction - same priority

Using PEMDAS

(9 - 1) is executed first giving 8

The expression becomes 8 + 8 ÷ 4

Next division is performed so 8 ÷ 4 is executed giving 2 as the answer

Finally 8 + 2 is executed giving 10

By using the principles of translation, the following equation can be derived for the graph of the translated text:

g(x) = |x + 2| + 1.

According to operations like multiplication or sum/subtraction either in its range (including values of y) or in its domain, a translation is represented by a change in the function graph (involving values of x).

Examples include shifts to the left, right, or bottom; compression or stretching along the vertical or horizontal axis; reflections across the x or y axes; and rotations of a degree measured around the origin.

From the graph, we have that the parent function was:

Shifted left 2 units, hence x -> x + 2.

Shifted up 1 unit, hence y -> y + 1.

Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

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The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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Answer:

2 3/4

Step-by-step explanation:

the Smallest is 1/2

the biggest is 1 1/2

the most common is 3/4

Adding them all up will give you 2 3/4 or 11/4

Answer:

2[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the smallest button is [tex]\frac{1}{2}[/tex]

the most common button is [tex]\frac{3}{4}[/tex]

the largest button is 1 [tex]\frac{1}{2}[/tex]

add these buttons together

[tex]\frac{1}{2} + \frac{3}{4} + 1 \frac{1}{2} =[/tex]

find the LCD of the denominators

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

find the factor that is the same in the two rows

factors of 2: 2, 4, 6, 8, 10

factors of 4: 4, 8, 12, 16, 20

2*2 = 4

[tex]\frac{1}{2}[/tex]· 2 = [tex]\frac{2}{4}[/tex]

[tex]\frac{2}{4} + \frac{3}{4} + 1 \frac{2}{4} =[/tex]

1[tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4} = 1 \frac{3}{4}[/tex] + 1

2[tex]\frac{3}{4}[/tex]

Answer:

If it is a division problem, then it is 11.

If it is a multiplication problem then it is 1100.

But it looks like division, so probably 11.

Answer:

011

Step-by-step explanation:

         0 1 1

--------------------------------

1 /

          0 1 1 0

 − 0    

   1 1  

 − 1 0  

     1 0

   − 1 0

       0

Answer:

The way you described this question was a bit confusing- but here is what I can provide based off of what you said.

Step-by-step explanation:

7x+5/x

Please provide a picture next time

The quotient of 1 ÷ 17 is a rational number.

In this question, Amy inputs 1÷17 in her calculator.

The calculator displays 0.0588235294

We need to check whether the quotient is a rational or an irrational number.

The quotient of 1 ÷ 17 is a rational number.

1 ÷ 17 can be written as 1/17, which is a rational number.

The quotient of 1 ÷ 17 is a decimal: the quotient a rational or an irrational number.

Therefore, the quotient of 1 ÷ 17 is a rational number.

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Answer:

Greater number = 58

Step-by-step explanation:

The equation is,

→ (x + 19) + x = 97

Now the value of x will be,

→ (x + 19) + x = 97

→ 2x = 97 - 19

→ x = 78/2

→ [ x = 39 ]

Then the greater number is,

→ x + 19

→ 39 + 19 = 58

Hence, the answer is 58.

Answer:

58

Step-by-step explanation:

first number=x

second number= x+19

x+x+19= 97

thus, the two numbers are 39 and

If a string has 20 light bulbs and these lights are all wired in series, so that if one light bulb fails, the whole string fails and the probability that any one light fails is 0.2 and each of the individual lights are independent of each other, then the probability that the string will not fail is 0.0115.

Probability in mathematics deals with the likelihood of an event to take place.

The probability that the string will not fail refers to when all 20 bulbs will not fail. As given in the conditions, each of the individual lights are independent of the other. Therefore;

the probability that any one of the lights will not fail is:

1 - probability that any one light fails = 1 - 0.2 = 0.8

And we need all 20 to be complete. The unity of events is a product of probabilities. Therefore the probability that the string will not fail is:

P = 0.8^20

P = 0.0115

Hence 0.0115 is the probability that the string will not fail.

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Answer:

the one I have found that would is

13 small frames

6 big ones

Step-by-step explanation:

not gonna lie I used trial and error

so I went for example 19 x 10 = 190

205 - 190 = 15 and then 15 / 7

I did this until I got an whole number on the divide by seven bit

Answer:

A(4, 4), B(1, 2), C(-3, 1)

Step-by-step explanation:

Because the triangle is rotated 180° about the origin you are just rotating it 2 quadrants, the size stays the same.

The rule for rotating 180° is if (x, y) is rotating 180° then the new position is (-x, -y).

So:

A(-4, -4), which then becomes B(-(-4), -(-4) ) = B(4, 4)

B(–1, –2) which becomes B(-(–1), –(-2) ) = B(1, 2)

C(3, –1) which becomes C(-3, –(-1) ) = C(-3, 1)

When Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

It should be noted that the surface area of a solid object is a measure of the total area that the surface of the object occupies.

Length (l) = 5 in

Width (w) = 5 in

Height (h) = 10 in

Surface area of figure

= 2 (lw+wh+hl)

= 2 (25 + 50 + 50)

= 2(125)

= 250

Therefore, when Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²

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The square root value of 7 is 2.645.

Irrational number

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

Any square root number that cannot be represented as a fraction [tex]\frac{P}{Q}[/tex] for any integer p and q is said to be irrational.

A real number that cannot be expressed as a straight forward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to [tex]\frac{P}{Q}[/tex] if N is irrational.

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As a verbal expression, the difference between 10 and 5 is 5

The numbers are given as

10 and 5

The difference between the numbers is calculated as

Difference = 10 - 5

Evaluate the difference

Difference = 5

The above represents the difference in variable

As a verbal expression, the difference between 10 and 5 is 5

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