Jill makes $450 per week working in the human resources department. What is her annual salary?

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

Answer:

60.96 meters per hour.

Answer:

3658.53658537 meter per hour

Step-by-step explanation:

\(\frac{100ft}{30sec}\) · \(\frac{1meter}{3.28feet}\) · \(\frac{60sec}{1min}\) ·\(\frac{60min}{hour}\)  You can cross cancel works like you can numbers

\(\frac{100}{30}\) · \(\frac{1meter}{3.28}\) · \(\frac{60}{1}\) · \(\frac{60}{1hour}\)

\(\frac{360000meters}{98.4hours}\)

3658.53658537 meter per hour

Answer: below

Step-by-step explanation:The main environmental effects of deforestation and forest degradation include reduced biodiversity, the release of greenhouse gas emissions, forest fires, disrupted water cycles and increased soil erosion.

9514 1404 393

Answer:

  (c) 4 left, CCW 90°

Step-by-step explanation:

Any of the image segments is perpendicular to the corresponding pre-image segment, so rotation is 90°. There is no reflection or rotation of 180° involved (eliminates choices A and D.

Points A and D that started in the 2nd quadrant are in the 3rd quadrant after the transformation. This tells you the rotation is CCW, not CW. (eliminates choice B) Even before you figure what translation is involved, the only reasonable choice is C: translation left 4 and rotation 90° CCW.

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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11% of the students were left-handed, and 89% were right-handed. Among the left-handed students, 48.75% preferred to write with a pen, while among the right-handed students, 55.5% preferred to write with a pen.

To fill out the two-way relative frequency table, we need to determine the total number of students who prefer to write with a pen or a pencil and whether they are left-handed or right-handed. Based on the given data, we can fill in the table as follows:

        Right Hand (%)    Left Hand (%)   Total (%)

Pen           11                       64                   75

Pencil        0                         9                    9

Total (%)    11                       73                   84

So, percentage of left-handed students who prefer to write with a pen)

=  percentage of students who prefer to write with a pen x  percentage of left-handed students  

= 75% x 11%

= 8.25%

Therefore, the complete two-way relative frequency table is:

            Right Hand (%)      Left Hand (%)       Total (%)

Pen            8.25                       48.75                   75

Pencil           0                          6.75                       9

Total (%)      8.25                     55.5                     84

We can interpret this table to mean that of the 84 students surveyed, 75% preferred to write with a pen, while 9% preferred to write with a pencil.

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Answer:

6(5)3(5)² + (3)³

Step-by-step explanation:

Put this into your calculator just like this

We can pose this statement: Four to the fourth power, as follows:

We need to multiply the base, in this case, 4, four times itself.

The result for that is 256.

Answer:

(f • g) (x) = \(x^{3}\) - 3\(x^{2}\) - 16x - 12

Step-by-step explanation:

(x-6)(\(x^{2}\) + 3x + 2)

\(x^{3}\) + 3\(x^{2}\) + 2x - 6\(x^{2}\) - 18x -12

\(x^{3}\) - 3\(x^{2}\) - 16x - 12

Each cookie costs 2$.

We can find how much each cookie costs by setting up an equation with x being the amount of cookies, and solve

12x=24     12 cookies equals 24 dollars

x=2            By simplifying and dividing both sides of the equation by 12, we get the variable on its own.

The price of one cookies in the bakery is found as $2.

Each component of a division equation has its own name.

For the given question.

The cost of 12 cookies in a bakery is $24.

The cost of each cookie is same.

To find the price of each cookie divide the total amount by number of cookies.

Price of one cookie = 24/12

Price of one cookie = $2

Thus, the price of one cookies in the bakery is found as $2.

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The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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On solving the provided question, we can say that to across the pond he ha to cover equation 2x +3x = 325 - 156 + 1 => x = 34cm/sec

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

to across the pond

we can form an equation 2x +3x = 325 - 156 + 1

5x = 170

x = 34

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18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64                  

And, x% = 18.39                

Now, we get pair of simple equations

100% = 329.64                  ........(1)

x% = 18.39                         ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

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Answer:

-y-6/2

Step-by-step explanation:

Answer:

− y-6/2

Step-by-step explanation:

Step-by-step explanation:

\( (\frac{4x}{y3} ) {}^{ - 2} \\ \)

\(( \frac{y {}^{ 3} }{4x} ) {}^{2} \\ \)

\(( \frac{y {}^{3 \times 2} }{4x {}^{2} } {}^{} ) \\ \)

\( \frac{y {}^{6} }{16x {}^{2} } \\ \)

Answer:

  y^6/(16x^2)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

  a^-b = 1/a^b

__

  \(\left(\dfrac{4x}{y^3}\right)^{-2}=\dfrac{1}{\left(\dfrac{4x}{y^3}\right)^{2}}=\dfrac{1}{\left(\dfrac{4^2x^2}{y^{3\cdot2}}\right)}=\boxed{\dfrac{y^6}{16x^2}}\)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The value of x in the triangle ABC is 25.

The interior angles of the triangle are given as m∠A = 3x and m∠B = 50°.

The exterior angle of the triangle is given as m∠ACD = 5x.  

The sum of angle in a triangle is equals to 180 degrees. Therefore,

3x + 50 + (180 - 5x)  = 180

3x + 50 - 5x + 180 = 180

3x - 5x + 50 + 180 = 180

-2x + 230 = 180

subtract 230 from both sides

-2x + 230 - 230 = 180 - 230

-2x = -50

divide both sidesby -2

-2x / -2 = -50 / -2

x = 25

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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

Answer:

20°

Step-by-step explanation:

A full circle is 360°

So at B,

angle a + 30 + 160 + 90(right angle) = 360

angle a + 280 = 360

angle a = 360 - 280 = 80

Now the markings indicate that side AC = side AB (you have been told it's isosceles right and isoceles triangles have two equal sides and two equal angles)

This also implies that angle a = angle b.

So, angle a is 80°

angle b is 80°

angle x = 180 - (80+80) = 180 - 160 = 20°

Note that the sum of all interior angles of a triangle is always 180

The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

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Answer:

Mode 4

Step-by-step explanation:

Mean x¯¯¯ 4.3333333333333

Median x˜ 4

Mode 4

Range 7

Minimum 2

Maximum 9

Count n 6

Sum 26

Quartiles Quartiles:

Q1 --> 3

Q2 --> 4

Q3 --> 4

Answer:

140.06 \(cm^2\)

Step-by-step explanation:

The area of the rectangular sheet is found by:

\(A=l*w\)

\(l=21cm\\w=14cm\\A_r=21cm(14cm)\\A_r=294cm^2\)

The size of the circle that can be removed is limited by the shortest side.  The diameter of the largest circle that can be removed is 14 cm.  This gives a radius of 7 cm.  The area of the resulting circle can be found with:

\(A_c=\pi r^2\\r=7cm\\A_c=\pi (7cm)^2\\A_c=153.94cm^2\)

To find the remaining area of the sheet after the circle has been removed, subtract the area of the circle from the area of the rectangle:

\(A_f=A_r-A_c\\A_f=294cm^2-153.94cm^2\\A_f=140.06cm^2\)

Answer: Look

Step-by-step explanation:

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

The total bill after the tip, discount, and tax is $37.76.

The total cost of the order is reduced by the coupon and increased by the tax paid and tip.

Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert

$2.99 + $9.99 + $11.50 + $7.99 = $32.47

Value of the tip = 20% x $32.47 = $6.49

Cost of the items after the coupon: (100% - 10%) x $32.47

90% x $32.47

0.9 x $32.47 = $29.22

Cost of the items after the tax: (1.07) x $29.22 = $31.27

Total cost of the items = $31.27 +$6.49 = $37.76

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When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

Answer:

The left side

4

is less than the right side

5

which means that the given statement is always true.

Step-by-step explanation:

Yes true

Its absolute value inequality

So

Its true