Find the surface area of the pyramid shown to the nearest whole number. 5ft 5ft 6ft - Not drawn to scale

Answer:

[tex]y=-|x+1|+1[/tex]

Step-by-step explanation:

Parent function:  [tex]y=|x|[/tex]

Reflect in the x-axis:  [tex]y=-|x|[/tex]

Translate 1 unit to the left:  [tex]y=-|x+1|[/tex]

Translate 1 unit up:  [tex]y=-|x+1|+1[/tex]

Please refer to the attachments to see the individual transformations.

The amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.

Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of cylinder can be given as,

[tex]V=\dfrac{\pi r^2h}{4}[/tex]

Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.

A water sample shows 0.073 grams of some trace element for every cubic centimeter of water. The proportion of element with water is,

[tex]p=\dfrac{0.073}{1}[/tex]

Anthony uses a container in the shape of a right cylinder with a diameter of 11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the way.

The total volume of the container is,

[tex]V=\dfrac{\pi (11.4)^2\times16.5}{4}\\V\approx1684 \rm\; cm^3[/tex]

The sample contains the same proportion of the trace element. Let the trace element has Anthony collected is x. Thus,

[tex]\dfrac{x}{1684-x}=\dfrac{0.073}{1}\\x=122.932-0.073x\\x+0.073x=122.932\\x=\dfrac{122.932}{1.073}\\x\approx114.6\rm\; gram[/tex]

Thus, the amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.

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Answer:

any value of y >= 8  

Step-by-step explanation:

Answer:

Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.

f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:

f(x) = {x - 2, x ≥ 2

        {-x + 2, x < 2

Hope this helps! Have a great day.

Set up the equation and solve for miles:

20 + 0.70m = 45 + 0.25m

Subtract 20 from both sides

0.70m = 25 + 0.25m

Subtract 0.25m from both sides

0.45m = 25

Divide both sides by 0.45

M = 55.56 miles

answer: 55.56 miles ( rounded to nearest hundredth’s)

Answer: 40

Step-by-step explanation: The angle on the straight line is 180, you have 140 the other angle is 180-40. It is also equal to the alternate angle shown

apparently my answer contains inappropriate words so here's a picture

Answer:

134

Step-by-step explanation:

164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.

Answer:

if your asking how much she has in all it would be 134

Step-by-step explanation:

Because

164

30-

____

134

Answer:

(fx^2)/3 - 6f

Step-by-step explanation:

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.

Here in this question we should understand the situation like a game with the following rules for the account balance:

After a careful reading, we apply the rules described above and have the following calculation:

x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15

x = $ 116

The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. [tex]\blacksquare[/tex]

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Answer:

Option B, [tex]516.3\ units[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the back

[tex]A = l * w[/tex]

[tex]A = 10\ units * 13\ units[/tex]

[tex]A = 130\ units^2[/tex]

Step 2:  Determine the hypotenuse

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex](10-6)^2\ units + 7^2\ units = c^2[/tex]

[tex]4^2\ units + 7^2\ units=c^2[/tex]

[tex]16\ units+49\ units=c^2[/tex]

[tex]\sqrt{65}=\sqrt{c^2}[/tex]

[tex]8.06 = c[/tex]

Step 3:  Determine the area of the top

[tex]A = l * w[/tex]

[tex]A = 13\ units * 8.06\ units[/tex]

[tex]A = 104.81\ units^2[/tex]

Step 4:  Determine the area of the front

[tex]A = l * w[/tex]

[tex]A = 13\ units * 6\ units[/tex]

[tex]A = 78\ units^2[/tex]

Step 5:  Determine the area of the bottom

[tex]A = l * w[/tex]

[tex]A = 13\ units * 7\ units[/tex]

[tex]A = 91\ units^2[/tex]

Step 6:  Determine the area of the trapezoid

[tex]A = \frac{a + b}{2} * h[/tex]

[tex]A = \frac{10\ units\ +\ 6\ units}{2}*7\ units[/tex]

[tex]A = 8\ units*7\ units[/tex]

[tex]A = 56\ units^2[/tex]

Step 7:  Determine the total surface area

[tex]130\ units^2 + 104.81\ units^2 + 78\ units^2 + 91\ units^2 + 2(56\ units^2)[/tex]

[tex]515.81\ units^2[/tex]

Answer:  Option B, [tex]516.3\ units[/tex]

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3400\\ r=rate\to 1.95\%\to \frac{1.95}{100}\dotfill &0.0195\\ t=years\dotfill &2.5 \end{cases} \\\\\\ A=3400[1+(0.0195)(2.5)]\implies A=3400(1.04875)\implies A=3565.75[/tex]

Answer:

Step-by-step explanation:

1 > 1,2

2 > 5

3 > 0, 0, 5

4 > 0, 5

I used to the arrows to separate the numbers but that is really supposed to be the line dividing the the stem's and the leaves.

Answer:

x = 1/2, −1/2

Step-by-step explanation:

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

Answer:

it reflection over the y axis not the x axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.

Area of the circle

Area of the circle = pi * r^2

r = 12 cm

pi = 3.14

Area of the circle = 3.14 * 12^2

Area of the circle = 3.14 * 144

Area of the circle = 452.16 cm^2

Area of 1/4 of the circle

Area of 1/4 of the circle = (1/4)*452.16

Area of 1/4 of the circle = 113.04

Area of the triangle

b = r

h = r

b = 12 cm

h = 12 cm

Area = 1/2 b * h

area = 1/2 * 12 * 12

area = 72

Area of the shaded part

Shaded part = area of 1/4 of the circle - area of triangle

Area shaded part = 113.04 - 72 = 41.04

Answer area of shaded part = 41.04

Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.

The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.

Using the cosine ratio, we have:

cos C = 2/9

C = cos^(-1)(2/9)

C ≈ 77 degrees.

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Answer:

77 is the answer

Step-by-step explanation:

Answer: hope I helped look down

Step-by-step explanation:

h=A2πr﹣rr Radius A Surface area

Answer: Ok so you do 8(1.75+1.50) and then times it by four since it’s a dog fence,I did this on calculator+ so that should be a good answer,the answer is 104

Step-by-step explanation:

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

Answer:

72

Step-by-step explanation:

first multiply 6 times 3 = 18 then  do 18 times 4 which equals 72 all together

Answer:

2.14 per year :)

Step-by-step explanation:

First we subtract :)

190 - 145 = 45

Now we divide :)

45/21 = 2.14

2.14 pounds per year

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Root 50^2 - 48^2 = 14ft

The distance of the base is 14ft

Hope this helps!

Answer:

see below

Step-by-step explanation:

He forgot to multiply 'x' by '2'  in the first step

It should be

4x-1 = 5 + 2 x

2x = 6

x = 3

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

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The number of sixty-minute cassette tapes ordered is 288 and the number of CDs ordered is 163.

1.49a + 4.98b = $1240.86 equation 1

a + b = 451  equation 2

Where:

Multiply equation 2 by 1,49

1.49a + 1.49b = 671.99 equation 3

Subtract equation 3 from equation 1

568.87 = 3.49b

Divide both sides of the equation by 3.49

568.87 / 3.49

b = 163

Subract 163 deom 451

451- 163 = 288

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