What is the solution of the equation x2 = 64?
18

Answer:

c

Step-by-step explanation:

Answer:

-3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer: -3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer:

~ Surface Area 1 = 9 * Surface Area 2 ~

Step-by-step explanation:

Let us look through this problem step by step;

1. The formula to determine the surface area of a sphere is 4πr^2

2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other

3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.

4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)

Answer:

The illustration is approximately 226 times larder than the actual pollen grain.

Step-by-step explanation:

First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.

This will be

[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide

The original width of the pollen is 0.027 cm.

Next,

We can take the width of the illustration to be 6.10 cm  wide.

After this,

To get the magnification factor, we will have to use the formula

Magnification = illustrated size/ actual size

This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times

Hence, the illustration is approximately 226 times larder than the actual pollen grain.

Explanation:

We assume your question is "why is that name given to these three numbers?"

There are many names in mathematics that are given to sequences or sets of numbers having a particular characteristic. The term "Pythagorean triple" is usually reserved for three positive integers that satisfy the relation "the sum of the squares of the smaller two is equal to the square of the largest."

This relationship exists between the side lengths of a right triangle, which is the point of the Pythagorean theorem. So, integer side lengths of a right triangle constitute a "Pythagorean triple."

_____

If your question is "why do right triangle side lengths have the relationship specified by the Pythagorean theorem?", that demands a different answer. In general, the sides and angles of a triangle obey the Law of Sines and the Law of Cosines.

One of the expressions of the Law of Cosines is ...

  c² = a² +b² -2ab·cos(C)

where C is the angle opposite side c in the triangle. You may recall that the cosine of 90° is zero, so the cosine term in this equation vanishes when angle C is a right angle. The remaining equation is ...

  c² = a² +b²

This is an expression of the Pythagorean theorem, and it is true only for right triangles.

Answer:

Step-by-step explanation:

I only know that number 2 is 56.

Answer  

B. l and lV

Step-by-step explanation:

The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.

The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.

To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:

Cost = Revenue

65.16n + 1,500 = 98.75n   (for equation I)

32.59n = 1,500

n = 46.05

So the break-even point for equation I is 46.05 units.

Cost = Revenue

35.79n + 6,700 = 56.95n   (for equation II)

21.16n = 6,700

n = 316.3

For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.

Cost = Revenue

65.16n + 1,500 = 56.95n   (for equation IV)

8.21n = -1,500

n = -182.7

The negative value for n means that equation IV does not have a break-even point.

Cost = Revenue

35.79n + 6,700 = 98.75n   (for equation III)

62.96n = 6,700

n = 106.2

The break-even point for equation III is 106.2 units.

Therefore, the pair of equations that will never break even is (d) I and IV.

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Your question seems incomplete, the probable complete question is:

The table below shows possible cost and revenue equations for a manufacturer of cameras.

Cost

65.16 n + 1,500

I

Cost

35.79 n + 6,700

II

Revenue

98.75 n

III

Revenue

56.95 n

IV

Which of the following pairs of equations will never break even?

a. I and III

b. II and IV

c. II and III

d. I and IV

Answer:

1 lb 8 oz

Step-by-step explanation:

The weight gain was the difference between the current weight and the beginning weight:  20 lb 2 oz less 18 lb 10 oz.  Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction.  Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.

Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

Answer:

y/2 + 5 = -3

y/2 = -8

y = -16

Step-by-step explanation:

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]

Recall that given events E,F the conditional probability of E given F is defined as

[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that

[tex]P(E\cap F) = P(E|F)P(F)[/tex].

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]

We are told to calculate P(A|D), then using the formulas we have

[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]

Answer:

we are given

length =3 yards and 16 inches

now, we can change it in inches

we know that

1 yard =36 inches

so, we get

length =3*36 inches and 16 inches

length=124 inches

now, we will check each option

option-A:

we can see that this is also 124 inches

so, this is TRUE

option-B:

4 yd 4 in

we can change into inches

we know that

1 yard =36 inches

4 yd 4 in=4*36 inches +4 inch

4 yd 4 in=144 in

this is not equal to 124 in

so, this is FALSE

option-C:

3 yd 1 1/2 in

we know that

1 yard =36 inches

3 yd 1 1/2 in =

3 yd 1 1/2 in =

this is not same as 124 in

so, this is FALSE

option-D:

2 yd 52 in

we know that

1 yard =36 inches

2 yd 52 in

2 yd 52 in

so, this is same

so, this is TRUE

option-E:

10 ft 4 in

we know that

1 feet =12 inches

so,

10 ft 4 in=12*10 +4 in

10 ft 4 in=124 in

this is same

so, this is TRUE

Step-by-step explanation:

So yes 124 is the same as 3 yards and 16 inches

Hope this helps!!!

Work Shown:

1 foot = 12 inches

3 feet = 36 inches (multiply both sides by 3)

1 yard = 3 feet

1 yard = 36 inches (replace "3 ft" with "36 in")

3 yards = 108 inches (multiply both sides by 3)

3 yards, 16 inches = 3 yards + 16 inches

3 yards, 16 inches = 108 inches + 16 inches

3 yards, 16 inches = 124 inches

Answer:

[tex]c = \frac{2}{0.42} [/tex]

Step-by-step explanation:

AB = c

[tex] \frac{a}{sin \: A} = \frac{c}{sin \: C} \\ \frac{2}{sin \: 25} = \frac{c}{sin \: 90} \\ \frac{2}{0.42} = \frac{c}{1} \\ 0.42 \: c = 2 \\ c = \frac{2}{0.42} [/tex]

Answer:

4.73

Step-by-step explanation:

​

​

Answer:

2/13

Step-by-step explanation:

In a regular deck of cards, there are a total of 52 cards. Of these, there are 4 8's and 4 jacks, making a total of 8 "desirable" outcomes. Therefore, the probability is 8/52=2/13. Hope this helps!

Answer:

Measure of first angle: 42 degrees,

Measure of second angle: 138 degrees

Step-by-step explanation:

Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle

1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x

2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180

3. In this situation it is convenient to apply substitution as to solve for x, y:

1. x + ( 12 + 3x ) = 180

2. x + 12 + 3x = 180

3. 4x + 12 + 180

4. 4x = 168

5. x = 42 degrees

4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:

1. y = 12 + 3 ( 42 )

2. y = 12 + 126

3. y = 138 degrees

Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.

the two angles are 84° and 96°.

We should start by defining what supplementary angles are.

Two angles a and b are supplementary if:

a + b = 180°.

Now, we also know that one of the angles is 12° larger than the other, so we can write:

a = b + 12°

Now that we have that equation, we can replace it in the first one, so we get:

a + b = 180°

(b + 12°) + b = 180°

Now we can solve this for b.

2*b + 12° = 180°

2*b = 180° - 12°  = 168°

b = 168°/2 = 84°

To find the value of a, we can use the equation:

a = b + 12°

a = 84° + 12° = 96°.

Then the two angles are:

84° and 96°.

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Answer:

(19/23)(18/22)(17/21) or 969/1771

Step-by-step explanation:

You add up the total number of cans, giving you 6+4+5+8 = 23 cans total. From there, you only have 4 cans of grape juice. That means 19 of these cans aren't grape, meaning you are checking the probability of choosing these three times in a row.

The probability of selecting the first can and it not being grape is 19/23. Then, when you select another can in succession, without replacing the cans, you now only have 22 cans left, meaning 18 also will not be grape, so it will be a 18/22 chance. Then, selecting your third can, 21 cans are left, and 17 of them are not grape since you have not yet chosen one, giving you 17/21. You multiply them together.

Hopefully I reduced the fraction properly (or even did this question properly)

Answer:

i think ...

Step-by-step explanation:

symmetric distribution  usually be a bell shape distribution .

most likely the median = mean = 60

The required value of 60 could be the median of the distribution. Option B is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
The mean of a symmetric distribution is 60.
Since for the symmetric data and rational data, the mean is equal to the median,
So Mean = Median
Median = 60

Thus, the required value of 60 could be the median of the distribution.

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Answer:

1128cm

Step-by-step explanation:

The diagram of the problem is annotated and attached.

In the diagram, we are required to find the distance between Aliaa and the far corner, b.

In Triangle ABC

[tex]\angle A+\angle B+\angle C=180^\circ\\53^\circ+100^\circ+\angle C=180^\circ\\\angle C=180^\circ-153^\circ\\\angle C=27^\circ[/tex]

Using Law of Sines

[tex]\dfrac{b}{sin B} =\dfrac{c}{sin C} \\\dfrac{b}{sin 100} =\dfrac{520}{sin 27}\\b=(520 X sin 100)\div sin 27\\b=1127.997\\b\approx 1128$ cm (to the nearest centimeter.)[/tex]

Therefore, Aliaa should hit the ball a distance of 1128cm so that it lands perfectly in the far corner of the court.

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

Answer:

The central angle measure of the sector is 150º.

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc.

When you know the central angle the area of a sector is given by

                                              [tex]A=\pi r^2(\frac{C}{360} )[/tex]

where

r is the radius of the circle of which the sector is part.

C is the central angle in degrees.

We know that the area of the sector is [tex]60\pi \:cm^2[/tex] and the radius is 12 cm. Applying the above formula and solving for the central angle we get that

[tex]60\pi =\pi (12)^2(\frac{C}{360}) \\\\\pi \left(12\right)^2\left(\frac{C}{360}\right)=60\pi \\\\\frac{\pi 12^2\cdot \frac{C}{360}}{144\pi }=\frac{60\pi }{144\pi }\\\\\frac{C}{360}=\frac{5}{12}\\\\C=150[/tex]

Answer:5pi/6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1+1+1+1 or 2 + 2

Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?

Answer:

4

Step-by-step explanation:

Answer: trinomial

Step-by-step explanation:

i answered it

Answer:

The number of boys are 64.

Step-by-step explanation:

We have,

The ratio of the boy to girl is 8:9.

Total number of girls are 72.

Let total boys are 8x and total girls are 9x.

According to the question,

[tex]9x=72\\\\x=8[/tex]

Since, number of boys are 8x. So,

[tex]B=8x=8\times 8=64[/tex]

So, the number of boys are 64.

Answer:

The answer is D.

Step-by-step explanation:

In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2

Answer:

The answer is D.  

Step-by-step explanation:

In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2

Answer:h=3V/πr^2

Step-by-step explanation:

V=1/3πr^2h

Cross multiply

3V=πr^2h

Divide both sides by πr^2

3V/πr^2=πr^2h/πr^2

3V/πr^2=h

h=3V/πr^2

Answer:

x=11.429

Step-by-step explanation:

10x+4x-15=145

14X=160

x=11.429

Answer:

11.43

Step-by-step explanation:

Combine like terms 10x and 4x to get 14x.your new equation is 14x-15=145 add 15 on both sides and then you get 14x=160. 160/14 = 11.43 rounded to the nearest hundredth

Work Shown:

In the numerator, we have 2^2*x^2, which is really just 4x^2. Replace x with 3 and we get 4*x^2 = 4*3^2 = 36.

For the denominator, xy^2, we get

x*y^2 = 3*2^2 = 12

So far we have,

[tex]\frac{2^2x^2}{xy^2} = \frac{4x^2}{xy^2} = \frac{36}{12} = 3\\\\\text{ or simply} \\\\\frac{2^2x^2}{xy^2} = 3[/tex]

when x = 3 and y = 2.

Square both sides to end up with...

[tex]\frac{2^2x^2}{xy^2} = 3\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 3^2\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 9[/tex]