The volume of a sphere is 26667 cm³.
Calculate the diameter of the sphere.
Volume of sphere = πr³
cm

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Work Shown:

Corresponding angles are congruent when we have parallel lines.

5x-10 = 2x+20

5x-2x = 20+10

3x = 30

x = 30/3

x = 10

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

5x-10 = 5*10-10 = 50-10 = 40

2x+20 = 2*10+20 = 20+20 = 40

Each angle is 40 degrees, which helps confirm our answer.

In this question, we are given a set of vectors B in [tex]R_{n}[/tex] and we need to prove that if there exists a vector v_i in B such that v_i is the zero vector, then the set B is linearly dependent.

To prove that if v_i is the zero vector for some i, then the set B is linearly dependent, we need to show that there exist scalars c_1, c_2, ..., c_n (not all zero) such that the linear combination c_1v_1 + c_2v_2 + ... + c_nv_n equals the zero vector.

Since v_i is the zero vector, we can choose c_i = 1 and c_j = 0 for j ≠ i. Then, the linear combination becomes c_1v_1 + c_2v_2 + ... + c_nv_n = v_i, which is the zero vector.

This implies that we have found a nontrivial linear combination of the vectors in B that equals the zero vector. Therefore, B is linearly dependent.

The reason behind this is that the presence of the zero vector in a set of vectors automatically guarantees linear dependence. Any set containing the zero vector can be linearly dependent because we can always choose the scalar coefficient of the zero vector to be non-zero, resulting in a nontrivial linear combination equaling the zero vector.

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Answer:

what is the answer

Step-by-step explanation:

Answer:

f(7) = 41

Step-by-step explanation:

6(7)-1

42-1

= 41

Answer:

14 =^.^=

Step-by-step explanation:

I GOT IT RIGHT ON EDGE 2020 >:3

The number 112 when divides by the number 8 gives the result 14.

To find the result of 112 divided by 8 using the number line, we can follow these steps:

1. Start at 0 on the number line.

2. Move along the number line in increments of 8 until you reach the number 112.

  0 - 8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112

3. Count the number of times you moved in increments of 8.

  It takes 14 increments of 8 to reach 112.

4. Therefore, 112 divided by 8 is equal to 14.

So, the result of 112 divided by 8 is 14.

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Answer:

x=60° , y=30° , z= 75°

Step-by-step explanation:

note...an equilateral triangle has the same angles all equal to 60°. so based on this x is 60°

the angle next to y is on a straight line therefore

60 +y =90

y=90-60

y=30°

the triangle with the y and z angles is an isosceles triangle...so the base angles must be equal

z+z+30=180

2z+30=180

2z=180-30

2z=150

[tex] \frac{2z}{2} = \frac{150}{2} [/tex]

z=75°

By applying the Sine Law and rearranging the equation, we can determine the missing parts of the triangle and solve for angles and sides.

We will draw a triangle based on the given measures and then use the Sine Law to solve for the other parts. The Sine Law relates the measures of angles and sides in a triangle.

Let's assume we have a triangle with sides a, b, and c, and angles A, B, and C, respectively. To solve for the other parts using the Sine Law, we need at least one side and its corresponding angle.

Suppose we are given side A and angle A. We can draw the triangle accordingly. The side opposite angle A will be labeled "a," and angle A will be opposite side a.

Next, we can use the Sine Law, which states that the ratio of a side length to the sine of its opposite angle is constant. The Sine Law can be expressed as:

a/sin(A) = b/sin(B) = c/sin(C)

With this information, we can solve for the other parts of the triangle. If we are given side A and angle A, we can use the Sine Law to find the ratios of the other sides to their corresponding angles.

By rearranging the Sine Law equation, we can solve for the unknown sides or angles. For example, to find side b, we have:

b = (a * sin(B)) / sin(A)

Similarly, we can find side c using:

c = (a * sin(C)) / sin(A)

And we can find the other angles using the inverse sine function:

B = sin^(-1)((b * sin(A)) / a)

C = sin^(-1)((c * sin(A)) / a)

By applying the Sine Law and rearranging the equation, we can determine the missing parts of the triangle and solve for angles and sides.

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Answer:

31 L

Step-by-step explanation:

Here is the complete question

An ambulance require diesel as fuel because of so many trips nearby pump purchase diesel in bulk for the ambulance there are three containers at the pump which contain 403 L 434 L and 465 L of diesel respectively the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is

Solution

To find the exact number of times in which we can measure the diesel in the three containers, since the capacity of each container is 403 L, 434 L and 465 L respectively, we find the prime factors of each number.

The prime factors of 403 = 13 × 31

The prime factors of 434 = 2 × 7 × 31

The prime factors of 465 = 3 × 5 × 31

The measuring capacity equals the highest common factor (H.C.F) of the three numbers. That is H.C.F of 403, 434, 465.

Since it can be seen  here that the H.C.F is 31, then the maximum capacity of measuring container that can be measured the diesel of the three containers an exact number of times is 31 L

Answer:

f(x) is an odd function.

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

For part a, we are given that the triangle is an isosceles triangle. That means the two sides that are marked are equal to each other. We set DE and EF equal to each other to find x.

5x-3=3x+7                [subtract both sides by 3x]

2x-3=7                      [add both sides by 3]

2x=10                        [divide both sides by 2]

x=5

We now know the value of x is 5.

For part b, all we have to do is plug in x=5 to find the length of each leg.

5(5)-3                       [multiply]

25-3                         [subtract]

DE=22 in

3(5)+7                      [multiply]

15+7                         [add]

EF=22 in

Now, we have the length of each leg. DE=22 in, EF=22 in

For part c, we do the same as above and plug in x=5 to find the length of the base.

6(5)-3                       [multiply]

30-3                         [subtract]

DF=27 in

Now, we have the length of the base. DF=27 in

Answer:

a) 28/3 b) 4/55

Step-by-step explanation:

a) 2 1/3 x 4/1 = 7/3 x 4/1 = 28/3

b) 4/25 x 5/11 = 20/275 = 4/55

Answer:

2 1/3÷1/4=7/3÷1/4=28/3

4/25÷1 1/5=4/25÷6/5=2/15

Answer:

B-$53.40m=c

Step-by-step explanation:

Because if 1 month is 53.40 you have to multiply that by the number of months in 1 year to get the cost for one year.

Replace M&C-$53.40(12)=$640.80

Answer:

-1/2 or .533333333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dont know need help

Answer: 4/3x+-22/3 y=-3/4x+-21/4

on ed

Step-by-step explanation:

Answer:y=4/3x+-22/3. Y=-3/4x+-21/4

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

The distance between ben and the dolphin is 43 hope this helped

It's C or A if it's C that's right if it's A I'm wrong be pretty sure it is C

Graph C is the correct alternative as it can be seen from the equation y = - 0.25x + 12 that the graph will have negative slope and will have a linear relationship with x.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Kiren is spending $12 on games and rides at a carnival where a game costs $0.25 and a ride costs $1.

Assume that Kiren played 'x' games and rides 'y' times.

Total amount with Kiren = A[T]  = $12

Cost of game = A[G] = $0.25

Cost of ride = A[R] = $1

Then we can write a equation representing above scenario as -

A[T] = A[G]x + A[R]y

0.25x + y = 12

y = - 0.25x + 12

It can be seen that the graph will have negative slope and will have a linear relationship with x. Hence, graph C is correct.

Therefore, Graph C is the correct alternative as it can be seen from the equation y = - 0.25x + 12 that the graph will have negative slope and will have a linear relationship with x.

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The value of y is 6. When dividing 24 by 4, you get 6.

Answer:

225

Step-by-step explanation:

Answer:

15 times 15= 225

Step-by-step explanation:

Hope this helps!!!!!!!

Answer:

x = - 2, x = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Given

- 4x² - 3x + 14 = 4 ( subtract 4 from both sides )

- 4x² - 3x + 10 = 0 ( multiply through by - 1 to clear the leading negative )

4x² + 3x - 10 = 0

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 10 = - 40 and sum = + 3

The factors are + 8 and - 5

Use these factors to split the x- term

4x² + 8x - 5x - 10 = 0 ( factor the first/second and third/fourth terms )

4x(x + 2) - 5(x + 2) = 0 ← factor out (x + 2) from each term

(x + 2)(4x - 5) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

4x - 5 = 0 ⇒ 4x = 5 ⇒ x = [tex]\frac{5}{4}[/tex]

Answer:

072/1000

Step-by-step explanation:

That's the only way I know how to write it, I hope it helps! :3

Answer: m = -⅔

The slope of 2x + 3y = -5 is -⅔

Plz mark brainleist:)

Step-by-step explanation:

m=-2/3 this is the answer from this question

The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.

To calculate the sample size, we need to use the formula:

[tex]n = (Z^2 * p * (1 - p)) / E^2[/tex]

Where:

n = sample size

Z = z-score corresponding to the desired level of confidence

p = estimated proportion (historical book adoption rate)

E = margin of error (standard error of the proportion)

Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2

Simplifying the equation, we get:

n = (3.8416 * 0.20 * 0.80) / 0.0016

n = 0.61536 / 0.0016

n ≈ 384.6

Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

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Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?

Answer:

[tex]\{3, 6, 9\}[/tex]

Step-by-step explanation:

U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. ([tex]Q \subseteq U[/tex])

[tex]Q''[/tex] represents the complement of the complement of [tex]Q[/tex]. The complement of [tex]Q[/tex] is the subset of [tex]U[/tex] formed by elements not contained in [tex]Q[/tex]. which simbolized by [tex]Q'[/tex]. That is, 1, 2, 4, 5, 7, 8, 10.

The complement of [tex]Q'[/tex] corresponds to the elements contained in [tex]Q[/tex]. Hence, the correct answer is [tex]\{3, 6, 9\}[/tex].

Answer: here it is 14f-30-15e

Answer:

25:4 50:8 200:32

Step-by-step explanation:

ratio is basically a fraction just a different math sign

Answer:

[tex]50+5t=C[/tex]

Step-by-step explanation:

Suppose the electrician spends t hours at the house working.

Amount charged for every house call by electrician = $50

The electrician earned a total of $400 for a 5 hour job.

Also, C denotes total cost of the electrician's services.

So, the equation for C in terms of t is given below.

[tex]50+5t=C[/tex]

Here, [tex]C=400[/tex]