What is $158,035.41 rounded to the nearest 10 dollars?

Answer:

24 in by 24 in

Step-by-step explanation:

Height of the box is 3 in, then

area of base is 972/3 = 324 in.

The side of the box base is [tex]\sqrt{324}[/tex] = 18

The side of the square piece of carboard is 18 + 2 x 3 = 24 in.

Answer:

Step-by-step explanation:

Volume to fill the empty part:

Answer:

the distributive property

Step-by-step explanation:

it allows us to multiply each term of the first polynomial by each term of the second

PLS mark Brianliest

9514 1404 393

Answer:

  1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

  2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

  A: 72 -40 = 32

  B: 48 -28 = 20

  composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

__

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

  84n = 1260000

  n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

__

(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...

  294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

__

Contribution margins per unit are ...

  H: 6 -4 = 2

  C: 8 -6 = 2

  I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

  3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

Using translation concepts, it is found that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

As for this problem, we have that:

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=−3/7

Decimal Form:

x=−0.¯¯¯¯¯¯¯¯¯¯¯428571

Answer:

Marta can arrange a maximum of 3 plates.

Solution:

Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.

She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.  

We have to find what is the greatest number of plates she can make to share?

Now, let the number of brownies per each plate be n.

Then, number of plates used =  

Here, n is number of brownies per plate and  is number of cookies per plate.

So, both n and  should be whole numbers. Then, for  to be whole number 6n must be an multiple of 5.

And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.

So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15

In order to arrange in more plates we have to take less count in single plate. Then, n = 5.

Now, number of plates  

Hence, Marta can arrange a maximum of 3 plates.

A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.

The distance of the miles can be estimated by using the formula:

distance = speed rate × time

∴

[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]

Let the current speed be = x

In the upstream direction;

in the downstream direction;

∴

[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]

By cross multiply;

8 (4 + x) = 12 (4 - x)

32 + 8x = 48 - 12x

8x + 12x = 48 - 32

20x = 16

x = 16/20

x = 4/5 mile per hour

Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.

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Answer:

d.13/24

Step-by-step explanation:

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

Answer:

64 i[tex]n^2\\[/tex]

Step-by-step explanation:

ok so first the shape is a square which means all sides are the same length so

8*8 = 64

Have a nice day! :-)

Answer:

so here tje answer is

50 / 10 = -k

so the value of k = 5

9514 1404 393

Answer:

  3x +4

Step-by-step explanation:

Polynomial long division is done the same way numerical long division is done.

The next quotient term is found by dividing the highest-degree dividend term by the highest-degree divisor term. The result is the exact quotient term. There is no need to go back and make an adjustment as there sometimes is with numerical long division.

Once you have the quotient term, you multiply that by the divisor and subtract from the dividend. This is the same procedure as is used with numerical long division. The difference is the new dividend, and the process repeats.

When the dividend is lower-degree than the divisor, that dividend is the remainder. For this division, the remainder is zero, so the quotient has no fractional part.

__

Both the quotient and the divisor can have any degree and any number of terms. It is useful to write both so all powers of the variable are accounted for, using 0 as a coefficient where necessary. This helps keep things straight when you're multiplying and subtracting. As you know, only "like" terms (terms of the same degree) can be combined by addition or subtraction.

Parallel lines have the same slope

The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

From the question, we have:

[tex]\mathbf{2x - 3y = 5}[/tex]

Make y the subject

[tex]\mathbf{- 3y = 5 - 2x}[/tex]

Divide through by -3

[tex]\mathbf{y = \frac 23 x - 5}[/tex]

Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope

A linear equation is represented as:

[tex]\mathbf{y=mx + c}[/tex]

Where:

m represents the slope

So, by comparison:

[tex]\mathbf{m = \frac 23}[/tex]

This means that:

The required equation has a slope of 2/3

The equation of the line is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Where:

[tex]\mathbf{m = \frac 23}[/tex]

[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]

So, we have:

[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]

Open brackets

[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]

[tex]\mathbf{y = \frac 23x + 8}[/tex]

Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

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x ≤ -2

Step-by-step explanation:

[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]

Answer:

reciprocal of 4 = 1/4

Step-by-step explanation:

By definition, a reciprocal of a/b = b/a.

Since 4 is the same as 4/1, then it's reciprocal must be 1/4.

Answer:

1/4

Step-by-step explanation:

because 4 = 4/1

reciprocal means to flip it upside down 4/1 = 1/4

Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

Answer:

the origin

Step-by-step explanation:

121.37

there thank me later

Answer:

2k-²

Step-by-step explanation:

i hope this is the answer ur looking for !

Answer:

21.0166

Step-by-step explanation:

Answer:

Hey mate.....can't see the attached picture....please check again

Answer:

what table??

Step-by-step explanation:

Answer:

[tex]y = - \frac{1}{5} x - 7[/tex]

Step-by-step explanation:

let's rewrite the equation

[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]

Now let's use the given point and substitute it to find the y-intercept

[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]

The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The point is  (-5,-6) and is parallel to the line x+5y=25.

According to given question we have

By use of slope we get

x+5y=25

5y=25-x

Divide both sides 5 we get,

y=-1/5x+5

Where m= -1/5

Now you can find the equation of the parallel line using

[tex](y-y_{0} )=m(x-x_{0})[/tex]

Put the given point as (-5,-6) we have,

[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]

Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

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Answer:

c

Step-by-step explanation:

The absolute value function would be;

b. y= -7 |x - 8| +4

Given that;

The functions are,

a. y= 7 |x+8| -4

b. y= -7 |x-8| +4

c. y= -7 |x+8| -4

d. y= -7 | x-8| -4

Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).

In the given options, the equation that represents the absolute value function is:

b. y = -7 |x - 8| + 4

This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).

As x approaches 8 from the left, the value of y decreases.

As x moves away from 8 towards positive or negative infinity, the value of y increases.

Therefore, the correct option is (b).

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Answer:

D) Squares, rectangles, rhombuses and trapezoids are quadrilaterals

Let z = 2 - 2√3 i. In polar form, we have

[tex]z = |z| e^{i\arg(z)}[/tex]

where

[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]

[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]

Equivalently,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]

Let w be a complex number such that w ² = z. By DeMoivre's theorem,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]

where k ∈ {0, 1}. So the two square roots of z are

[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]

[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]

[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]

Answer:

The correct answer is [tex]2 *10^3 ; 2,000[/tex]

Picture to text form: 2 x 10^3 ; 2000

Step-by-step explanation:

The answer you chose is incorrect.

Answer: It would be 2* 10^3; 2000

Step-by-step explanation:

Divide the total number of students in the state by the number of students in the school.

806240 / 400 = 2015.6

The closest number would be 2000, written as 2* 10^3.

Answer:

I know I'm late to answer this but its 10 [tex]\frac{5}{6}[/tex] I hope this helps :D

Step-by-step explanation:

Answer:

11 ft

Step-by-step explanation: