Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? (Hint: double time means 2 times the regular hourly rat.)

Answer:

SA = 250 pi

SA = 785 in^2

Step-by-step explanation:

Givens

d = 10

h = 20

r = d/2

Formula

r = d/2

r = 10/2

r = 5

SA = 2*pi*r^2 + pi*d*h

Solution

SA = 2 * pi * 5^2 + pi * 10 * 20

SA = 2 * 25 *pi  + pi * 200

SA = 50 pi + 200 pi

SA = 250*pi

This is one answer.

The second is 250 * 3.14

SA = 785 in^2

Answer:

[tex]-3k^3 - 24k^2 + 15k[/tex]

Step-by-step explanation:

In this question we need to solve the equation

[tex]3k(-k^2-8k+5)[/tex]

For solving it, we need to multiply 3k with each number inside the bracket and find the results.

In finding products, we add the power having same bases and coefficients are multiplied.

[tex]3k(-k^2-8k+5)\\=3k(-k^2) +3k(-8k) +3k(5)\\= -3k^3 - 24k^2 + 15k[/tex]

Answer:

50

Step-by-step explanation:

In the expression [tex]n=10p+20,[/tex] p represents the yearly gross profit in millions of dollars and n represents the total number of employees.

When the yearly gross profit was 20 million dollars, then the number of employees was

[tex]n=10\cdot 20+20=200+20=220.[/tex]

When the yearly gross profit was 15 million dollars, then the number of employees was

[tex]n=10\cdot 15+20=150+20=170.[/tex]

Hence, the decrease in the number of employees is

[tex]220-170=50.[/tex]

Answer:

13

Step-by-step explanation:

If you said one side was 5 inches long anf the other side was 8 add thoes up u get 13

Answer:

A, B and D.

Step-by-step explanation:

A:  because 5* 5^(x-1) = 5^(x - 1 + 1) = 5^x.

B. 15^x / 3 = 5^x

D. (15/3)^x = 5^x.

( Note C = 5 , E = 5^(x+2) and x^5 not = 5^x.)

Final answer:

The equivalent expressions to 5^x are 5*5^(x-1), 15^x/3^x, and (15/3)^x. These follow the rules of adding exponents when multiplying with the same base and raising an entire factor to a power.

Explanation:

The student has asked which expression is equivalent to 5x. To find expressions equivalent to exponents, we use rules such as the product of powers, which states that when multiplying expressions that have the same base, we can add their exponents (e.g., 5a  imes 5b = 5a+b). Similarly, to raise an exponential factor to a power, we multiply the exponent by the power.

Looking at the given options:

Therefore, the correct answers are options A, C, and D, each demonstrating different properties of exponents.

The answer is:

The volume of the cylinder is equal to:

[tex]Volume=3096.8cm^{3}[/tex]

To find the volume of the cylinder, first, we need to use the equation to calculate its area to find its diameter, and then, calculate its volume since we know that the height of the cylinder is equal to its diameter.

So,  using the  equation to calculate the area of its base, we have:

[tex]BaseArea=\pi *r^{2}\\\\r=\sqrt{\frac{BaseArea}{\pi } }=\sqrt{\frac{196cm^{2} }{\pi }}\\\\r=\sqrt{\frac{196cm^{2} }{\pi }}=\sqrt{62.4cm^{2}}=7.9cm[/tex]

Therefore, we have that the radius of the cylinder is equal to 7.9 cm, it means that its diameter is equal to:

[tex]diameter=2*radius=7.9cm*2=15.8cm[/tex]

Now that we know the diameter, let's calcule the volume of the cylinder:

[tex]Volume=BaseArea*height=BaseArea*Diameter\\\\Volume=196cm^{2}*15.8cm=3096.8cm^{3}[/tex]

Hence, we have that the volume of the cylinder is equal to:

[tex]Volume=3096.8cm^{3}[/tex]

Have a nice day!

The volume of a cylinder with a base area of 196 cm² and a height equal to the diameter is approximately 2145.74 cm³.

To find the volume of a cylinder with a given base area and a height equal to the diameter, you can use the formula V = πr²h, where π is Pi (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder. The base area of the cylinder (A) is given as 196 cm², which is also equal to πr². Given that the height is equal to the diameter, we can express the height as 2r.

First, you need to solve for the radius (r) using the base area:

A = πr² → r = √(A/π) = √(196 / 3.14159) ≈ 7 cm

Now plug this value into the volume formula:

V = πr²h = π * (7 cm)² * (2 * 7 cm) = π * 49 cm² * 14 cm

Finally, calculate the volume:

V ≈ 3.14159 * 49 cm² * 14 cm ≈ 2145.74 cm³

The volume of the cylinder is approximately 2145.74 cm³.

The answer would -9/10

If you need the work just let me know!

Answer:

-9/10

Step-by-step explanation:

7/10 = r - (- 8/5)

7/10 = r + 8/5

r = 7/10 - 8/5

r = -9/10

ANSWER

The area of the shaded sector is

[tex]Area =\pi \: {in}^{2} [/tex]

EXPLANATION

The area of a sector is calculated using the formula,

[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]

[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]

This finally simplifies to

[tex]Area =\pi \: {in}^{2} [/tex]

Answer:

Area of shaded region = 3.14  in²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr²  = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

 = (1/4)12.56 = 3.14  in²

The probability of selecting a boat from Rhode Island is 7 out of 14, which simplifies to 1/2, or 50%. There's an equal chance of picking a boat from Rhode Island as not.

The probability of selecting a boat from Rhode Island at the marina is calculated by dividing the number of Rhode Island boats by the total number of boats.

There are 7 boats from Rhode Island and 14 boats in total.

Therefore, the probability is 7 out of 14, which simplifies to 1/2 when reduced.

This can also be written as a decimal, 0.5, or a percentage, 50%, indicating that there is an equal chance of selecting a Rhode Island boat as there is of selecting a boat from another place.

Thus, there's an equal chance of picking a boat from Rhode Island as not.

Final answer:

The probability that a randomly selected boat will be from Rhode Island is 1/2.

Explanation:

To calculate the probability that a randomly selected boat at the marina is from Rhode Island, we use the basic probability formula:

Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes)

Given that there are 7 boats from Rhode Island and a total of 14 boats at the marina, the probability (P) that a randomly selected boat is from Rhode Island is:

P(Rhode Island) = 7 / 14 = 1/2.

Therefore, the simplified fraction representing the probability is 1/2.

Answer: 6w+9=4 and w=-5/6

6w+9=4 now solve for w

6w+9-9=4-9

6w=-5

w=-5/6

Putting back into equation to check our answer;

6(-5/6)+9=4

-5+9=4

4=4 correct, our answer checks out.

Any questions please just ask. Cheers

The equation of the translated sentence Nine more than the product of a number and 6 is equal to 4 is 6w + 9 = 4.

A numerical expression can be formed from statements it is represented i the form of numbers and their operations.

According to the given sequence Nine more than the product of a number and 6 is equal to 4 we have to convert it in numerical form.

Let the number be w.

∴ 6w + 9 = 4

6w = 4 - 9

6w = -5

w = -5/6.

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Answer:ddd

lol

Step-by-step explanation:

You can find two irrational numbers [tex]r,s[/tex] between 0 and 1.

Then, you'll have

[tex]2016 < 2016+r < 2017,\quad 2016 < 2016+s < 2017[/tex]

And both [tex]2016+r[/tex] and [tex]2016+s[/tex] will be irrational, because they are the sum of a rational number (2016) and an irrational number (r or s).

Finally, in order to find two such numbers, you can start with any irrational number, and scale it down until it lies between 0 and 1.

For example, you can start from [tex]\sqrt{2}\approx 1.4142[/tex] and divide it by any integer greater than 2, say that we choose

[tex]r = \dfrac{\sqrt{2}}{7}[/tex]

[tex]s = \dfrac{\sqrt{2}}{4}[/tex]

So, the two irrational numbers between 2016 and 2017 are

[tex]2016 + \dfrac{\sqrt{2}}{7},\quad 2016 + \dfrac{\sqrt{2}}{4}[/tex]

Two irrational numbers between 2016 and 2017 can be found by adding non-repeating, non-terminating decimals to 2016. Examples include 2016.172 and 2016.399.

Finding irrational numbers between two given numbers involves knowing that irrational numbers are those which cannot be expressed as a quotient of two integers and have non-repeating, non-terminating decimal expansions. Examples of irrational numbers include the square root of non-perfect squares, pi (π), and 'e' (the base of natural logarithms).

Between two such close numbers (like 2016 and 2017), an easy way to find irrational numbers is to add a non-repeating, non-terminating decimal to the smaller number. For instance, let's use 0.172 and 0.399 (which are derived from the reference numbers provided) and add these to 2016:

Both 2016.172 and 2016.399 are irrational numbers that lie between 2016 and 2017.

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Step-by-step explanation:

use photomath for math problems and it give you step by step

   Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.

Equation of the parabola given in the question is,

y = -x² - 3x + 6

Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]

y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6

  = -(x + 1.5)²+ (1.5)² + 6

  = -(x + 1.5)² + 2.25 + 6

  = -(x + 1.5)² + 8.25

From this equation vertex of the parabola will be (-1.5, 8.25).

Leading coefficient 'a' = -1 (negative)

y - intercept of the equation → y = -(0 - 1.5)² + 8.25

                                                  y = 6

x- intercept of the equation → 0 = -(x - 1.5)² + 8.25

                                                 (x - 1.5) = √8.25

                                                 x = 1.372, -4.372

  Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).

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Answer:

see explanation

Step-by-step explanation:

The ratio received = 9 : 13 : 18

Sum the parts of the ratio 9 + 13 + 18 = 40

Divide the amount by 40 to find the value of one part of the ratio

[tex]\frac{800}{40}[/tex] = £20 ← value of 1 part of ratio

Eli gets 9 × £20 = £180

Freda gets 13 × £20 = £260

Geoff gets 18 × £20 = £360

To divide £800 between Eli, Freda and Geoff based on their ages, we need to find the ratio of their ages and divide the total amount by this ratio. Eli will get £180, Freda will get £260, and Geoff will get £360.

To find out how much each person will get, we need to divide the total amount of money by the sum of their ages in the given ratio.

The sum of their ages is 9 + 13 + 18 = 40.

The ratio is 9:13:18.

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Answer:

Monday:

40 minutes

Tuesday:

80 minutes

Wednesday:

60 minutes

Step-by-step explanation:

x + 2x + (1/2)(x + 2x) = 180

4.5x = 180

x = 40 minutes

Answer:

1. F

2. T

3. T

4. T

Step-by-step explanation:

Let's break down the definitions.

Quadrilateral - A polygon with 4 sides

Square - A quadrilateral with 4 equal sides and 90 degree angles

Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles

Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles

Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles

Now let's look at the questions.

Does every 4 sided figure have equal sides? - No

Is a rectangle with 4 equal sides a square? - Yes

Is every parallelogram with 4 equal sides a parallelogram? - Yes

Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes

Question 1 - False, rectangle is not a square if it has a different length or width

Question 2 - True, square can also be a rectangle as long as there are four congruent sides

Question 3 - True, rhombus is a parallelogram

Question 4 - True, square can be also known as a rectangle

Answer:

Yes, she has enough paint, since she does not need to paint the window. The area that needs to be painted is only 87 ft², and she has enough paint for 90 ft².

Step-by-step explanation:

Area of the wall (including window)

= 12 x 8

= 96 ft²

Area of the window

= 3 x 3

= 9 ft²

Area of the wall that needs to be covered with paint

= 96 - 9

= 87 ft²

Answer:

Yes, she has enough paint. The area to be painted is the area of the wall minus the area of the window. A = (12)(8) = 96; A = (3)(3) = 9; area to be painted: 96 – 9 = 87 square feet.

ANSWER

b>1

EXPLANATION

The given inequality is;

2 (b - 4) > -6

Expand the parenthesis to get,

2b-8>-6

2b>-6+8

Simplify the right hand side.

2b>2

Divide both sides by:

b>1

Answer:

$1.75

Step-by-step explanation:

1 pound of carrot and 1.5 pounds of squash cost $7.00.

1c + 1.5s = 7 ----------------- [ 1 ]

4.5 pounds of carrot and 1.75 pound of squash cost $14.00.

4.5c + 1.75s = 14 ----------------- [ 2 ]

[ 1 ] x 4.5:

4.5c + 6.75s = 31.5 ----------------- [ 1a ]

[1a] - [2]:

5s = 17.5

s = $3.50

Sub s = 3.5 into [ 1 ]:

1c + 1.5 (3.5)  = 7

1c + 5.25 = 7

1c = $1.75

By setting up and solving a system of linear equations based on the purchases made by two customers, we calculated the price of carrots to be $2.00 per pound.

To determine the price per pound for carrots, we can set up a system of linear equations based on the provided information and solve it. Let 'c' represent the cost per pound of carrots and 's' represent the cost per pound of squash.

Multiplying Equation 1 by 3 gives us:

Now, let's subtract Equation 2 from this new equation to eliminate 's' and solve for 'c'.

After calculating, we find that c = $2.00 per pound for carrots.

PQ^2=(X2-X1)+(Y2-Y1)^2

PQ^2=(4+3)^2+(25-1)^2

PQ^2=625

PQ=25 unit

The length of the segment PQ is 25 units.

Given: Segment PQ

P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)

We have to find the length of the segment PQ.

Length of the segment PQ can be found by using the distance formula.

⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]

⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]

⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]

⇒ PQ = [tex]\sqrt{49+576}[/tex]

⇒ PQ = [tex]\sqrt{625}[/tex]

⇒ PQ = 25 units

Therefore, the length of the segment PQ is 25 units.

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15/27 but if you want to simplify it it’s 5/9

Answer:

x=1

Step-by-step explanation:

This stuff is quite easy in reality. Here's a little example including your numbers.

[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]

by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1

3(x^2 + 1) + 2

So the last option

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-3x^3+5x=1x^4-3x^3+0x^2+5x+0[/tex]

The Remainder Theorem states that when we divide a polynomial f(x)

by x − a the remainder R equals f(a).

a = -2

Syntetic substitution.

1. Write only the coefficients of x in the dividend inside an upside-down division symbol.

[tex]\underline{\begin{array}{c|ccccccc}\ &1&-3&0&5&0\\\ \end{array}}[/tex]

2. Put the divisor at the left.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}[/tex]

3. Drop the first coefficient of the dividend below the division symbol.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]

4. Multiply the drop-down by the divisor, and put the result in the next column.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]

5. Add down the column.

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5\end{array}[/tex]

6. Repeat 4 and 5 until you can go no farther

[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2&10&-20&30\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5&10&-15&30\end{array}[/tex]

The remainder is 30, so f(-2) = 30.

Check:

[tex]f(x)=x^4-3x^3+5x\\\\f(-2)=(-2)^4-3(-2)^3+5(-2)=16-3(-8)-10=16+24-10=30[/tex]

Answer:

This is a Question from an Iready test!

Step-by-step explanation:

Answer:

105 degrees

Step-by-step explanation:

The measure of angle H from the given figure is 67.5 degree.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Given that measure of angle F is 67.5°

The angles formed when two lines cross each other are known as vertical angles. Vertically opposite angles are the opposing angles created by these lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

From the given figure,

∠F=∠H (Vertically opposite angles are equal)

Angle F= Angle H=67.5°

So, angle H is 67.5 degree

Therefore, the measure of angle H is 67.5 degree.

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"Your question is incomplete, probably the complete question/missing part is:"

The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠H?

height(h) = 7x

base(b) = 4x

Since you know the value of x, you can plug it in

h = 7(10) = 70in

b = 4(10) = 40in

[tex]A = \frac{1}{2}bh[/tex]

[tex]A=\frac{1}{2} (40)(70)[/tex]

[tex]A=\frac{1}{2} (2800)[/tex]

A = 1400in²

$15,822 is the correct answer, you multiply 36 by $419 and add the down payment of $738

$15,822. first you multiply $419 x 36 to get 15,084. then you add the down payment

Answer:

about [tex]84\%[/tex]

Step-by-step explanation:

From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.

The sample size is n=25.

The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]

We simplify this to get:

[tex]=21\times 4\%[/tex]

[tex]=84\%[/tex]

84%

Step-by-step expl

Answer:

Step-by-step explanation:

Moving from (0, 4) to (2, 3), we see x increasing by 2 from 0 to 2 and y decreasing by 1 from 4 to 3.

Thus, the slope of this line is m = rise / run = -1/2.

Starting with y = mx + b, we substitute 0 for x, 4 for y and -1/2 for b, obtaining:

4 = (-1/2)(0) + b.  Therefore, b = 4, and the desired equation is:

y = (-1/2)x + 4