Rearrange the formula to solve for the cost of goods sold (C).

I suppose you're supposed to convert 100111 from base 2 to base 10. We have

\(100111_2=2^5+2^2+2^1+2^0=32+4+2+1=39_{10}\)

so the missing number is 39.

Answer:

1500000

Step-by-step explanation:

Given a vertical line passes through the point (3,8)

The general equation for the vertical lines:

given the point ( h, k ) = ( 3, 8 )

so, the answer will be:

the equation of the line is x = 3

See the following picture:

The sentence that needs revising to eliminate redundancy is If past history is an indication, the sirens will save hundreds of lives. The Option C is correct.

One meanings of word "history" is a sequence of past events connected to something or someone. We can always assume, thus, that when someone mentions "history", they are talking about the past.

But, when it comes to the sentence we are analyzing here, the use of the words "past history" is redundant. If it is history, it is past. So, therefore,  the sentence that needs revising to eliminate redundancy is If past history is an indication, the sirens will save hundreds of lives

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

\(\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x\)

Calculating the value of \((\frac{g}{f})(2)\):

\(\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)\)

               \(=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\\)

x=\(- \frac{\sqrt{3}}{2}\) and x=\(\frac{\sqrt{3}}{2}\) are not in the domain.

Domain: \(x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)\)

10) So here, in the first figure –

We are given a Rectangle and we know formula for perimeter of a rectangle's given

In case of 2nd figure a tiangle's given whose formula of Perimeter will be

According to the question :-

↠Perimeter of rectangle = Perimeter of triangle

↠ x+3 +x+5+x+4 = 2 (x+4+x-2)

↠ 3x + 12 = 2(2x+2)

↠ 2(2x+2) = 3x + 12

↠ 4x +4 = 3x+12

↠ 4x-3x +4-12 = 0

↠ x -8 =0

↠ x = 8

Answer:

In Figure 1 :

We know that, It is a rectangle and the formula for finding the perimeter of a rectangle is :

In Figure 2 :

We know that, it is a triangle and the formula for finding the perimeter of a triangle is :

\( \\ \: \: { \underline{ \underline{ \textbf{\textsf{{ According to the Question \::}{}}}}}}\)

\( \\ \sf \implies \: 2(x - 2 + x+4) = (x + 3) + (x + 4) + (x + 5)\: \: \: \: \: \: \: \\ \\ \sf \implies \: 2(2x +2) = x + 3 + x + 4 + x + 5\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: 4x + 4 = 3x + 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: 4x - 3x = 12 - 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: x = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\)

Answer:

5 is not divisible by 3 and 9 .

Answer: he took 60 grapes to school

Step-by-step explanation:

you just have to think about this. if you have given a friend 15 grapes and you are left with 45. So, for you to have 45 left you must have left home with 60 grapes.

Mathematically, lets represent how many he brought to school with x

15+45=x

X= 60

Answer:

yes yes yes yes yes yes yes

Answer:

121π square centimeters

Step-by-step explanation:

We can find the radius of the circle by taking the average of the two diameters provided. (15+7)/2=11. Then we plug that into the area of a circle equation. Area = π\(r^{2}\) and that yields the answer.

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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If 5 books of equal weight, weigh 1.755 kilograms, then the number of books will weight 1.404 kilogram is 4 books

The 5 books are equal weights

The weight of 5  books = 1.755 kilograms

Then the weight of one book = The weight of 5 books / 5

Substitute the values in the equation

The weight of one book = 1.755/5

= 0.351 kilograms

To find the number of books we have to use division again

The number of books will weight 1.404 kilograms = 1.404 / The weight of one book

=1.404/0.351

= 4  books

Hence, If 5 books of equal weight, weigh 1.755 kilograms, then the number of books will weight 1.404 kilogram is 4 books

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From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Answer:

If an investment will be worth $1,000 after 8 years and is depreciating at a rate of 3% each year, then the present value (PV) of the investment can be calculated using the formula PV = FV / (1 + r)^n, where FV is the future value of the investment ($1,000), r is the annual depreciation rate (0.03), and n is the number of years (8). Plugging these values into the formula gives PV = 1000 / (1 + 0.03)^8 ≈ $857.34. So, the present value of the investment is approximately $857.34.

Step-by-step explanation:

Answer:

Step-by-step explanation:

As x increases four units from -4 to 0, y decreases four units from 0 to -4

slope m = Δy/Δx = -4/4 = -1

The y intercept is at (0, -4) so b = -4

y = -1x + -4

y = - x - 4

as m is negative, slope is negative

Answer:

it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2

Step-by-step explanation:

Answer:

y = x + 6

Step-by-step explanation:

Answer:

J. 537.5

Step-by-step explanation:

65 x 4.5 = 292.5

70 x 3.5 = 245

292.5 + 245 = 537.5

Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

The APR for the loan given is $105.8

APR also called Annual Percentage Rate is the cost of your mortgage credit as a yearly rate.

To get the APR , we have to calculate the total amount paid in 24 months.

The total amount paid in 24 months = 24 × 167.15

= $4011.6

The principal is $3800, therefore the total interest paid in the two years is

I = A-P

I = 4011.6-3800

I = $211.6

Since APR is annual , then we need to calculate the interest for a year

yearly interest = 211.6/2

= $105.8

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Answer:

To convert kilometres to metres, divide the value by 1000.

0.7 ÷ 1000 = 700 metres

Kayli swam 700 meters in the swimming pool

Hope this helps!

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

You actually cannot find Y using this knowledge!

Step-by-step explanation:

( 2, y ) It only shows how X is 2, you need more information to find y. If you can respond, try to give me more information, I am willing to help!

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

14.66666666 (this will go on forever)

Answer: 14 2/3

Step-by-step explanation:

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.