What is the area of the figure below?

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

The expression is 26 - s.

Step-by-step explanation:

Number of sour candies Eve has = 26

Number of candies ate by Eve = s

Let,

x be the candies left.

Candies left = Total - candies eaten

x = 26 - s

Therefore,

The expression is 26 - s.

Answer:

5 ± 9.74

Step-by-step explanation:

Confidence interval, two - sample, t procedure ;

μ1 - μ2 = (x1 - x2) ± Tcritical*S

S = sqrt[(s1²/n1) + (s2²/n2)]

n1 = 9 ; n2 = 9 ; s1 = 8 ; s2 = 6 ; x1 = 30 ; x2 = 25

S = sqrt[(8^2/9) + (6^2/9)]

S = sqrt[11.111111]

S = 3.333

Tcritical at 99% confidence interval

df = 18 - 2= 16

Tcritical = 2.92

(30 - 25) ± 2.92*(3.333)

5 ± 9.74

Answer:

A) \(I=\frac{P}{4\pi r^2}\)

Step-by-step explanation:

To isolate \(I\), we need to divide both sides by \(4\pi r^2\). Therefore, the answer is \(I=\frac{P}{4\pi r^2}\).

Answer:

  sin(8w)/1024 -sin(4w)/128 +3w/128

Step-by-step explanation:

No doubt there are a variety of formulas and identities that can be used. Absent knowledge of those, I found it convenient to rewrite the integrand using Euler's formula. It tells you ...

  \(\sin(x)=\dfrac{e^{ix}-e^{-ix}}{2i},\quad\cos(x)=\dfrac{e^{ix}+e^{-ix}}{2}\)

After some only slightly messy algebra, we find ...

  \(\cos^4(w)\sin^4(w)=\dfrac{\cos(8w)-4\cos(4w)+3}{128}\)

Then the integral becomes straightforward:

  \(\displaystyle \int{\cos^4(w)\sin^4(w)}\,dw=\int{\dfrac{\cos(8w)}{128}}\,dw-\int{\dfrac{\cos(4w)}{32}}\,dw+\dfrac{3}{128}\int{}\,dw\\\\=\boxed{\dfrac{\sin(8w)}{1024}-\dfrac{\sin(4w)}{128}+\dfrac{3w}{128}}\)

__

Additional comment

The slightly messy algebra involves the identities ...

  (a+b)(a-b) = a² -b²

  (a -b)⁴ = a⁴ -4a³b +6a²b² -4ab³ +b⁴

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

This means the given integrand is equivalent to

cos⁴(w) sin⁴(w) = (cos(w) sin(w))⁴ = (1/2 sin(2w))⁴ = 1/16 sin⁴(2w)

Also recall the half-angle identities for sine and cosine:

cos²(x) = 1/2 (1 + cos(2x))

sin²(x) = 1/2 (1 - cos(2x))

Then we can rewrite further as

1/16 sin⁴(2w) = 1/16 (sin²(2w))²

… = 1/16 (1/2 (1 - cos(4w)))²

… = 1/16 (1/4 (1 - 2 cos(4w) + cos²(4w))

… = 1/64 (1 - 2 cos(4w) + 1/2 (1 + cos(8w)))

… = 1/128 (3 - 4 cos(4w) + cos(8w))

You'll end up with the same solution as in the other answer:

\(\displaystyle \int \cos^4(w)\sin^4(w) \, dw = \frac1{128} \int (3 - 4\cos(4w) + \cos(8w)) \, dw \\\\ = \frac{3w-\sin(4w)+\frac18\sin(8w)}{128} + C \\\\ = \boxed{\frac{24w-8\sin(4w)+\sin(8w)}{1024} + C}\)

For the given inequality -3 < x < 1 the correct choices are x ≥ -3 and x < 1. The correct options are option B and option D.

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is -3 < x < 1. The meaning of inequality is that the value of x is greater than -3 and the value of x is less than 1.

The correct choices for the given inequality would be that x is greater than or equal to -3 and x is less than 1.

Therefore, For the given inequality -3 < x < 1 the correct choices are x ≥ -3 and x < 1. The correct options are option B and option D.

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Answer:

To find the x and y intercepts, we set x and y to zero respectively:

x-intercept: setting y = 0 gives us 6/(x^2 - 5x - 6) = 0, which has no real solutions.

y-intercept: setting x = 0 gives us s(0) = 6/(-6) = -1.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x^2 - 5x - 6 = 0

(x - 6)(x + 1) = 0

This gives us two vertical asymptotes at x = 6 and x = -1.

To find the horizontal asymptote, we need to look at the behavior of the function as x approaches infinity and negative infinity. As x becomes very large in magnitude, the terms involving x^2 become much larger than the terms involving x or the constant term, and so we can ignore those terms. This gives us:

s(x) ≈ 6/x^2 as x → ±∞

Therefore, the horizontal asymptote is y = 0.

In summary:

x-intercept: none

y-intercept: (0, -1)

vertical asymptotes: x = 6 and x = -1

horizontal asymptote: y = 0

If you have anymore questions, feel free to comment and I will answer them 8-5 I am on.

Step-by-step explanation:

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

the answer is : ................

5

The simplified polynomial in standard form that represents the result of subtracting (z-7)² from 62 is -z² + 14z + 13.

Given that, ( z - 7 )² is subtracted from 62.

To subtract ( z - 7 )² from 62, we first need to first expand this ( z - 7 )².

( z - 7 )²

( z - 7 )( z - 7 )

z( z - 7 ) - 7( z - 7 )

Apply distributive property

z×z - z×7 - 7×z -7×-7

z² - 7z - 7z + 49

z² - 14z + 49

Now, we can substitute this expression into the original equation:

62 - (z² - 14z + 49)

Simplifying, we get:

13 + 14z - z²

-z² + 14z + 13

Therefore, the simplified polynomial is -z² + 14z + 13.

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Answer:

y = 3x + 5

Have a good day! :)

Answer:

y=2x+4

Step-by-step explanation:

the line has equation like this y=ax+b

x=0  then y=4 so 4=a*0+b so b=4

y=0, then x=-2, 0=a*(-2)+4 so -2a+4=0,-2a=-4, a=2

so the equation of the line is y=2x+4

verify

x=-1, y=2*(-1)+4=-2+4=2 so the equation is correct

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

Answer:

When the water level is at the "-4" mark on the pole, the river is 4 feet  below the flood stage.

Step-by-step explanation:

Given

\(Flood\ stage = 0\)

Required

What does -4 represents

From the question, we can deduce that:

\(Above = +ve\ intervals\)

\(Below = -ve\ intervals\)

-4 belongs to the "below" category.

Hence, -4 mark represents 4 feet below the flood stage

Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.

Answer:

The coordinates of H are:

Step-by-step explanation:

Given the points

Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H

using the mid-point formula

\(m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)

Since the point F is the mid-point of G and H, so

m = (3, 2)

as

Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)

\(m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)

\(\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)\)

so

\(\:\:3\:=\:\frac{x_2+4}{2}\)

\(x_2+4=6\)

subtract 4 from both sides

\(x_2+4-4=6-4\)

\(x_2=2\)

and

\(2=\:\frac{y_2+4}{2}\)

\(\:y_2+4\:=\:4\)

subtract 4 from both sides

\(y_2=0\)

Thus, the coordinates of H are:

Note: It seems, you missed to add the correct option.

Answer:

true

Step-by-step explanation:

the factors are simply what is being multiplied together. We can see there are 3 because we have 5,3,and 2. 30 is not a factor because that is the answer. I hope this helps!

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer:

8/48

Step-by-step explanation:

the bottom they multiplied by 4 to get 48 so you do the same to the top so you get 8

Answer:

Step-by-step explanation:

one think

Answer:

option A is correct answer of this question

hope it helps

Answer:

20% profit

Step-by-step explanation:

Given:

Profit:

Profit percent:

Answer:

c.p=1450

s.p=1740

profit=s.p-c.p

=1740-1450

=290

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Answer:

Step 3

Step-by-step explanation:

The mistake was made in Step 3.

Step 1: Subtract the wholes. 4 - 1 = 3

Step 2: Subtract the fractions. 5/6 - 3/6 = 2/6

After Step 2, He should have added them instead of subtracting them:

3 + 2/6 = 3 2/6

So, step 3 was his mistake.

Answer:step 3

Step-by-step explanation: he should have added

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer: x = 0, 8, -5

Step-by-step explanation:

We are trying to solve what value we substitute x into to get the value of 0. We have x outside of (x² - 3x - 40), and we can set that equal to 0. That will be one value of x because we are still left with (x² - 3x - 40). To solve this, we can factor it out into (x-8)(x+5). Set each equal to 0, (x-8) = 0 which leaves us with x = 8, and (x+5) =0, which leaves us with x = -5.

Answer:

4/9

Step-by-step explanation:

4 sandwiches in between 9 friends

4 sandwiches must be divided in between 9 people

- > \(\frac{4 sandwiches}{9 people}\) = \(\frac{4}{9}\)

Answer:

Step-by-step explanation:

2/3

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21