what is the following sum in the simplest form √8+3√2+√22​

Answer:

12 feet

Step-by-step explanation:

-16t^2+ 26t + 12  = h(t)     when t = 0    (put in '0' for 't')

               12 feet = h

Answer:

A. Acute

Step-by-step explanation:

To start, determine whether you can form a triangle or not. In any triangle, the sum of any two sides must be greater than the third side. In this case, this holds true and we can definitely form a triangle.

Let \(c\) be the longest side of the triangle and let \(a\) and \(b\) be the other two sides.

If \(a^2+b^2>c^2\), the triangle is acute.

If \(a^2+b^2=c^2\), the triangle is right.

If \(a^2+b^2<c^2\), the triangle is obtuse.

Substituting given information:

\(7^2+9^2>11^2\), therefore the triangle is acute.

Answer:

B

Step-by-step explanation:

First you are going to have to solve for one of the variables in the terms of the other two. The easiest one of these to start with is x.

If you take the first equation, x+4y-5z=-6 and solve for x you get

x=5z-4y-6

Now you can plug that into another equation and solve for another one of the variables. Lets use equation #2. Plugging in the definition of x into the equation you get;

(5z-4y-6)+4y-4z=-2

Simplify

z-6=-2

Conveniently, the y terms cancelled out. And therefore we know

z=4

(From there, we can determine that B is the right answer because it is the only one that gives z=4. I will walk you through the rest of the answer though)

Taking our new value of z, we can pug that value into our original x equation yielding;

x=20-4y-6

simplify

x=14-4y

Using this information, we can plug it into equation #3

(14-4y)+5y-16=1

simplify

y-2=1

solve

y=3

Now we just plug the new values of y and z into the first equation to get the value of x.

x+12-20=-6

simplify

x-8=-6

solve

x=2

Therefore;

x=2

y=3

z=4

Answer: Don’t know if this helps, but Desmos online graphing calculator should really help you with that!

Step-by-step explanation:

Answer:

[D] \(\displaystyle \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}\)

General Formulas and Concepts:

Calculus

Limits

Derivatives

Definition of a Derivative: \(\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle f(x) = 5x^2 - 2x\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.

Let's denote the number of additional free throws that Michelle needs to make as "x." Since she has made 14 out of her 20 free throws this season, her current shooting percentage is:

Current shooting percentage = (Number of made free throws / Total number of attempted free throws) * 100

                        = (14 / 20) * 100

                        = 70%

To find the number of additional free throws she needs to shoot to achieve a shooting percentage of 90%, we set up the following equation:

(14 + x) / (20 + x) = 90/100

We can now solve this equation to find the value of x:

(14 + x) / (20 + x) = 0.9

Cross-multiplying gives:

0.9 * (20 + x) = 14 + x

18 + 0.9x = 14 + x

0.9x - x = 14 - 18

-0.1x = -4

Dividing both sides by -0.1 gives:

x = 40

Therefore, Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.

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The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

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The amount of soil needed to fill the garden box is given as follows:

1728 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:

V = 19 x 12 x 6 + 10 x 3 x 12

V = 1728 ft³.

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Answer:

Step-by-step explanation:

1)

We know that if \(x^2=9\), then \(x=\pm \sqrt{9}\), so \(\boxed{x=3,-3}\)

2)

We know that if \(x^3=8\), then \(x=\sqrt[3]{8}\), so \(\boxed{x=2}\)

3)

\(x^3=\frac{1}{8}\) means that \(x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}\).

So, \(\boxed{x=\frac{1}{2}}\).

4)

\(x^3=27\) means that \(x=\sqrt[3]{27}=\sqrt[3]{3^3}=3\).

So, \(\boxed{x=3}\).

5)

\(x^2=25\) means that \(x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5\).

So, \(x=5,-5\).

6)

We know that the side length of the square will be \(\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}\).

7)

\(6x^2=54\) means that \(x^2=9\), which means that \(\boxed{x=3,-3}\).

8)

\(2x^2+25=75\) means that \(2x^2=50\), which means that \(x^2=25\), which means that \(\boxed{x=5,-5}\)

The person who picked garbage at the fastest rate is Andres.

Rate is the ratio of the total weight of garbage picked to the total time. The person who picked the most garbage would be the person with the lowest rate.

Rate = total weight / total time

Rate of Andres = 4kg / 2hrs = 2kg/hr

Rate of Scott = 6 / 2.5 = 2.4 kg/hr

Rate of Tina = 3 /1 = 3kg/hr

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Answer:

255 miles

Step-by-step explanation:

if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.

servings = 6

molds = 113

package = 8

servings make = 113÷6=18.83

Answer:

Step-by-step explanation:

ima a braintlest

The car οvertakes twο buses οn its way tο the city center with the given time and distance.

On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.

Let us suppοse the distance = p.

The distance travelled by the bus in 60 minutes is d/60.

The distance cοvered by the bus in 35 minutes is:

d/60(35)

Fοr the first bus:

It leaves 60 minutes befοre car, thus the distance travelled is:

(d/60) x 60.

If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:

d = (d/60) x 35 + (d/60) x 60 + x

d = (5/12)d + x

x = 7/12 d

Fοr the secοnd bus:

The bus wοuld have left the airpοrt 120 minutes befοre the car:

(d/60) x 120

The distance cοvered by car with additiοnal distance y is:

d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y

d = (5/6)d + y

y = 1/6d

The car οvertakes the bus thus,

(7/12)d + (1/6)d = d

d = 12/5

Therefοre, the car οvertakes twο buses οn its way tο the city centre.

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The calculated area of the pentagon is 288.50 mm² if one of the sides of the apothem of 10mm.

Length of apothem = 10mm

The formula used to find the area of a pentagon is:

Area = (1/2) × apothem × perimeter

Here the perimeter is the unknown term, so we need to calculate the perimeter of the Pentagon. The perimeter of a pentagon is calculated by the product of 5 times the length.

Let us assume that the length of one side of the Pentagon = s

The side of the Pentagon is:

s = (2 × apothem) / tan(180° / 5)

s = (2 × 10) / tan(36°)

s = 11.54 mm

Perimeter = 5*s

Perimeter = 5 * 11.54 = 57.70 mm

Now, the area of the Pentagon is:

Area = (1/2) × apothem × perimeter

Area = (1/2) × 10 × 57.70 = 288.50 mm²

Therefore, we can conclude that area of the pentagon is 288.50 mm².

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Therefore, correct response is percentage C. "For comedies that college students enjoy, she estimated the conditional relative frequency. The right response is 28%.

A number or figure that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the "%" symbol used to represent it is often employed. No dimensions exist; the % amount is flat. Percentages are essentially fractions because their numerator is 100. A percent symbol (%) should be placed in front of a number to indicate that it is a percentage. For instance, if you answered correctly 75 out of questions in total on a test, you'd get a 75%.

Here,

Given :

She determined the combined relative frequency for humor and college. For college students who enjoy comedy, the appropriate conditional relative frequency value is 28%.

For comedies that college students enjoy, she determined the conditional relative frequency. For college students who enjoy comedy, the appropriate conditional relative frequency value is 16%.

For comedies that college students enjoy, she determined the conditional relative frequency. The right response is 28%.

She determined the combined relative frequency for humor and college. The right response is 16%.

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Answer:

D

Step-by-step explanation:

Answer:is 5 ^ -2 ????

Step-by-step explanation:

To write a division expression from a fraction, identify the numerator, which is the dividend, while the denominator is the divisor.

A division expression is an algebraic expression using the division operand (÷).

Algebraic expressions involve the combination of numbers, constants, values, and variables with mathematical operands.

The result of a division operation, which is one of the four basic mathematical operations, is known as the quotient.

Thus, we can conclude that the dividend is related to the numerator of the fraction just as the divisor is related to the denominator of the fraction.

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The total surface area of the metal for the can of peas is approximately 514.45 square centimeters.

To find the total surface area, we need to calculate the surface area of the top and bottom circles and the lateral surface area of the cylinder. First, we need to convert the diameter to centimeters (1 inch = 2.54 cm). The diameter is 6 inches, so the radius (half of the diameter) is 3 inches, which equals 7.62 cm.

1. Surface area of top and bottom circles:
Area = π * r², where r is the radius.
Area of one circle = π * (7.62)² ≈ 182.45 square centimeters.
So, the combined area of both circles is 2 * 182.45 ≈ 364.90 square centimeters.

2. Lateral surface area of the cylinder:
Lateral surface area = 2 * π * r * h, where r is the radius and h is the height.
Lateral surface area = 2 * π * 7.62 * 10 ≈ 479.35 square centimeters.

3. To find the total surface area, add the surface area of the top and bottom circles and the lateral surface area of the cylinder:
Total surface area = 364.90 + 479.35 ≈ 514.45 square centimeters.

Therefore, the total surface area of the metal for the can of peas is approximately 514.45 square centimeters.

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:

20% = 0.2

Step-by-step explanation:

To find the decimal version of the percentage, we need to divide by a 100.

20 / 100 = 0.2

Best of Luck!

Answer:

its D

Step-by-step explanation:

Answer:

The answer above is correct! The right option is D.

Step-by-step explanation:

Hope this helps :)

Answer: 40,823

Step-by-step explanation:

Answer:

40.8233133 which you would write as 40.82 kg.

Step-by-step explanation:

Hope this helps :)

Answer:

1. 2

2. 3

3. 7

4. 2

5. 30

6. 18

Step-by-step explanation:

Answer:

look down

Step-by-step explanation:

let length be" x"

accroding to question

breadth= 2x/3

we know,

Area of rectangle= l × b

384=x × 2x/3

calculate

Answer:

Step-by-step explanation:

HOPE IT HELPS