simplify the following radical expression

Answer:11 and 27

Step-by-step explanation:

11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32

You meant x³ = 1/8? Then x = 1/2

Hypotenuse H we need

Apply Pythagorean theorem

Answer:

6.5 miles far from the bank.

Step-by-step explanation:

→ AC = 3.9 miles (perpendicular)

→ BC = 5.2 miles (base)

→ AB = x (hypotenuse)

By using Pythagoras theorem the length of AB will be,

→ (Hypotenuse)²=(Perpendicular)²+(Base)²

→ AB² = AC² + BC²

→ AB² = (3.9)² + (5.2)²

→ AB² = 15.21 + 27.04

→ AB = √(42.25)

→ [ AB = 6.5 ]

Hence, friend's house is 6.5 miles away.

Answer:

120 different outfits.

Step-by-step explanation:

10x4=40

40x3=

120

The equation of the line will be given as y = -4x - (- 17/ 4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

[tex]m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4[/tex]

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

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Answer:

B. 4 - 2√10

Step-by-step explanation:

This is the value of x when you plug it into the equation.
Hope this helped!

The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage.

Machinery is known to be any kind of mechanical, electrical, or electronic tool that has been set up to carryout some basic function.

Note that The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage and as such it is advisable only in some cases.

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Answer: The answer is 1600.

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

40 * 40 = 1600

an easy way to figure this out is

4 * 4 = 16

add two zeros (since there are two zeros in 40 and 40)

1600 is your answer

hope this helps :)

The statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

Normally distributed data is the distribution of probability which is symmetric about the mean.

Normally distributed data-

In the provided option, option A talks about the height of sunflower, whereas option C talks about the breath of humans.

Thus, the statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.

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Answer:

x=12m

Step-by-step explanation:

44 divide by 3 2/3 = 12

Answer:

d= 6

Step-by-step explanation:

radius r = 2.9921129301276 cm

diameter d = 5.9842258602553 cm

circumference C = 18.8 cm

area A = 28.1258615432 cm2

Diameter of circle is 6cm, if the circumference is 18.8 cm

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.

The formula to find circumference is

C=2pi r

Given circumference is 18.8 cm, we need to find diameter.

To find diameter first we need to find radius

18.8=2×3.142×r

18.8=6.284r

Divide both sides by 6.284

r=2.99

We know that Diameter is two times of radius

d=2r

d=2×2.99

d=5.98=6

Hence diameter of circle is 6cm, if the circumference is 18.8 cm

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Answer:

[tex]\frac{23a^2+6}{12a^2}[/tex]

Step-by-step explanation:

hope this helps:)

Answer:

g(x) = log( x + 1 ) + 4

Step-by-step explanation:

f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.

Answer:

incomplete

Step-by-step explanation:

please send the full information, I can't see students belonging to acers

Answer:

13.5

Step-by-step explanation:

Answer:

80 × 30 = 2,400

Step-by-step explanation:

We can easily round 79 up to 80 and round 31 down to 30. This would make our expression 80 × 30, which is much easier to compute. We just take 8 × 3 (which is 24) and add two zeros onto the end of the number. This yields us an answer of 2,400 which is very close to the actual multiplication of 79 × 31 which is 2,449 (only 49 more than our estimation).

The area of a square is the square of its side. The area of the square is 2.2477 units².

The area of a square is the square of its side. It is given by the formula,

Area of the square = a²

Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,

Circumference of the circle = 2πr

[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]

Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,

Area of the circle = a² = r²

[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]

                            [tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]

Hence, the area of the square is 2.2477 units².

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Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17

Answer:

37.66

Step-by-step explanation:

Answer: I believe it would be when a pair of lines intersect, all of the angles formed are congruent.

Answer:

When a pair of lines intersect, the vertical angles are congruent.

:)

Answer: C: 10/3

Step-by-step explanation:

An improper fraction is a fraction that's top number (numerator) is bigger than the bottom number (denominator)

Answer:

10/3

Step-by-step explanation:

Improper fractions are fractions where there is a larger number in the numerator than there is in the denominator. The numerator is the number on the top of the fraction, and the denominator is on the bottom. 10 is on top and it is greater than 3, so it is an improper fraction. Improper fractions can also be simplified. 10/3 can be simplified to 3 1/3.

Hope this helps!

Answer:

here is the answer y = 15× - 80

The Answers are B,C, and E

I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.

Answer:

b) The surface area

Step-by-step explanation:

Surface area of sphere formula,

→ 4πr²

Thus, option (b) is the answer.

            - - - - -- - - - - - -- - - - - - - - - -- - - - - -- - - - - - - -- - - - - -- -  

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What does the formula 4πr² give?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

Formula for Volume of a Sphere:-

[tex]\bold{V=\displaystyle\frac{4}{3} \pi r^3}[/tex]

So the answer is not Option A.

Formula for Surface Area of a Sphere:-

[tex]\bold{A=4\pi r^2}[/tex]

This looks exactly like the formula we need.

So the right answer is

[tex]\boxed{\boxed{\underline{\bold{Option\:B}}}}[/tex]

                    -  -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- -  - - - - - -

Answer:

y = x + 7

Step-by-step explanation:

Answer:

Approximately [tex]215[/tex] square units.

Step-by-step explanation:

The area of this figure is equal to:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap}\end{aligned}[/tex].

The area of the square is [tex]8^{2} = 64[/tex] square units.

The area of the circle of radius [tex]r = 8[/tex] is [tex]\pi\, r^{2} = 8^{2}\, \pi = 64\, \pi[/tex] square units.

Refer to the diagram attached. In this figure, the overlap between the square and the circle is a sector of radius [tex]r= 8[/tex]. The angle of this sector is [tex]90^{\circ}[/tex]- same as the measure of the interior angle of the square.

The area of this sector would then be:

[tex]\begin{aligned} & \pi\, r^{2} \times \frac{90^{\circ}}{360^{\circ}} = 16\, \pi \end{aligned}[/tex].

Therefore, the area of the figure would be:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap} \\ =\; & 64 + 64\, \pi - 16\, \pi \\ \approx\; & 215 \end{aligned}[/tex].

Answer: $550

Step-by-step explanation: 2500 * 0.11 = 275    275 * 2 = 550