The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
O 3x
O 3x²
O 3x³
O4x

The answers to the options are:

This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.

Note that in case A, the The inequality that represent the temperatures  is less than sign.

In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that  the gas cannot stay liquid.

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The number that could not be a value of y if y = 4x² - 6 is -12.

The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.

So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.

i.e.

y = 4(0) - 6

y = 0 - 6

y = -6

Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.

Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.

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Answer:

-12 is the answer.

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3

Answer:

D1×D2/2sq

445×5= 225

225/2

=112.5

Answer: [tex]h=\frac{23}{10} =2.300[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]

[tex]Simplify~ \frac{3}{10}[/tex]

[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

  Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:

[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]

[tex]\frac{10h-23}{10} =0[/tex]

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.

Here's how:

[tex]\frac{10h-23}{10} *10=0*10[/tex]

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  10h-23  = 0

Add  23  to both sides of the equation :

                     10h = 23

Divide both sides of the equation by 10:

                    h = 23/10 = 2.300

Final Answer: 2.3(decimal form) aka 23/10 (fraction)

Answer:

119 4/7

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:

35+10+12+15+24+12+10=118

Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)

6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14

Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.

This means that our answer is 119 8/14 or 119 4/7

Step-by-step explanation:

|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.

in other words

|-x| = x

|x| = x

|-x - 2y| for x = -2 and y = 3

|- -2 - 2×3| = |2 - 6| = |-4| = 4

Answer:

8 > u > 6

Step-by-step explanation:

We have to solve this inequality as 2 separate inequalities.

==============================================================

Inequality 1 :

⇒ 10 > 5u/4

⇒ 5u < 10 × 4

⇒ 5u < 40

⇒ u < 8 [Box 1]

============================================================

Inequality 2 :

⇒ 5u/4 > 15/2

⇒ 5u/2 > 15

⇒ u/2 > 3

⇒ u > 3 × 2

⇒ u > 6 [Box 2]

============================================================

Solution :

⇒ 8 > u > 6

Answer:

4/13 is the answer

total = 4+3+5+1= 13

let a be the event of getting red marbles= total is 4

probability=4/13

The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination

To answer the question, we need to know what system of equations are

System of equations are pairs of equations that contain two unknowns

We have different ways of solving systems of equations which include

Since we have the system of equations

3x + 2y = 4

-3x + y = 2

The method which we can use to remove one variable by adding them is the elimination method.

Adding them, we have

3x + 2y = 4

+

-3x + y = 2

3y = 6

y = 6/3

y = 2

So, the method which we can use to remove one variable by adding them is B Elimination

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[1] n = -2

       We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"

19 decreased by four times a number is 17

19 - four times a number is 17

19 - 4 n is 17

9 - 4n = 17

-

9 - 4n = 17

- 4n = 8

n = -2

[2] x = -1, y = 3, or (-1, 3)

      I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.

2y - 2x = 8

2(2x + 5) - 2x = 8

4x + 10 - 2x = 8

2x = -2

x = -1

      Now, I will plug this value back into the equation and solve for y.

y = 2x + 5

y = 2(-1) + 5

y = -2 + 5

y = 3

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

Step-by-step explanation:

     - Multiplied. -

 Hopefully this helps you! ~

The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".

An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.

From the above,

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Answer:

a) 12/18

b) 6

Step-by-step explanation:

If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.

Answer:

Step-by-step explanation:

This is a quadratic function.  

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

Answer:

180

Step-by-step explanation:

Answer:

\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)

Step-by-step explanation:

Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).

Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.

If that doesn't work, I might be interpreting this incorrectly.

Here.

Answer:

0.05, or 1/20

Step-by-step explanation:

So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05

Let me know which one works!

Warmest regards,

Sanjana

Professional 6th grader and quantum physics lover

Answer:1380

Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380

Answer:

I just need points I don't know your answer

Step-by-step explanation:

The weighted average cost of capital for the firm will be 11.25%.

The weighted average cost of capital is the calculation of the cost of capital for a firm where each category of capital is weighted.

Here, the weighted average cost of capital will be:

= 0.5(10%)(1 - 15%) + 0.5(14%)

= 0.5(0.1)(0.85) + 0.5(0.14)

= 11.25%

The corporate value at 70% debt when WACC is 11.94% will be:

= (EBIT)(1 - T)/WACC

= (13.24)(1 - 0.15)/0.1194

= $94.26 million

The corporate value at 30% debt when WACC is 11.14% will be:

= (EBIT)(1 - T)/WACC

= (13.24)(1 - 0.15)/0.1114

= $101.02 million

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The equations of the graphed line and function can be written as:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Equation of a graphed line can be expressed in:

Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or

Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.

Find the slope (m) of the line:

Slope (m) = change in y / change in x = 1/2 = 0.5

y-intercept (b) = 2

To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:

f(x) = 1/2x + 2.

Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):

y - 3 = 1/2(x - 2)

Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):

y - 1 = 0.5(x - (-2))

y - 1 = 0.5(x + 2)

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Answer:

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

The first attachment shows the coefficient matrix and its determinant.

__

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

  [tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]

This multiplication is shown in the second attachment. It tells us ...

  [tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]

Answer:

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation

Answer:

[tex]\dfrac 32[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]

Answer:

B

Step-by-step explanation:

Answer:

your answer will be 18

Step-by-step explanation:

2/3 of 72 is 48,  1/4 of 72 is 18

i need some extra words here so hopefully this works

Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation.  We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.

Now that we know what we must do to finish this problem let us look how this equation can be solved.  When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x.  We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.

Subtract 17 from both sides

Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality.  This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given: x + 17 = 38

Algebraic Properties:

Addition: If a = b, then a + c = b + c

Subtraction: If a = b, then a - c = b - c

Multiplication: If a = b, then ac = bc

Division: If a = b, then a ÷ c = b ÷ c

To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.

This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced. 

Subtract 17 from both sides:

x + 17 - 17  = 38 - 17

⟹ x = 21

Therefore, the subtraction property of equality is included in the steps used to solve this equation.

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