What is the product?
(7x²y³) (3x5,8)
O 10x²y¹1
O 10x1024
O 21x7y¹¹
O 21x¹024

Answer:

Around 37.7

Step-by-step explanation:

The volume of a cone is (1/3)πr^2h or πr^2h/3

3.14 * 4^2 * 4/3 is around 37.7

Answer:

Please upload an image of your Brainly question

Answer:

7/9=.77 infinite

1/3=.33 infinite

so

7/9-1/3=0.4444444 infinite

Step-by-step explanation:

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Answer:

The volume of the prism is of 1368 cubic m.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is the multiplication of the lengths of its dimensions.

In this question:

Dimensions of 8m, 9m and 19m. So

8*9*19 = 1368.

Dimensions in meters, so volume in cubic meters.

The volume of the prism is of 1368 cubic m.

Answer:

10

Step-by-step explanation:

( 1 / 20 ) x ( 1 / 8 ) x 1600

= ( 1 / 20 x 8 ) x 1600

= ( 1 / 160 ) x 1600

= 1600 / 160

Answer:10

Step-by-step explanation:

1/20 x 1/8 x 1600 = 10

= 10

Answer:

y= 1x-1

Step-by-step explanation:

i used stat edit

Step-by-step explanation:

\( {2.71 \times 10}^{ - 3} \)

This can be rewritten as

\(2.71 \times \frac{1}{10^{3} } \)

If we will solve this way,

\(\frac{2.71}{1000} = 0.00271\)

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

\(2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710\)

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

mean absolute deviation = \(\frac{summation|x-mean|}{n}\)

where

Therefore, let's calculate the mean first.

Arrange the data in ascending order.

1, 1, 3, 5, 5, 6, 8, 11

mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5

Therefore, let's calculate the distance between each dat point and mean.

|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|

4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20

Hence,

mean absolute deviation = 20 / 8 = 2.5

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Answer:

the slope is 2/3 and the y-intercept is -2

The slope and the y-intercept of the linear function represented by the graph are 2/3 and -2, respectively.

A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation.

So the way to describe linear functions is that for any given change in x, the change in y will always be the same value. You're dealing with a linear function if it always returns the same value.

Therefore,

Any line's slope - intercept form is

y = mx + c

Where m = Slope of the line

c = y - intercept of the line

The given points in this case are (0, - 2) and

The equation of the line passing through the points (0, - 2) and (3, 0) is now complete.

\(&\frac{y+2}{x-0}=\frac{0+2}{3-0} \\\)

\(&\Longrightarrow \frac{y+2}{x}=\frac{2}{3} \\\)

\(&\Longrightarrow y+2=\frac{2}{3} x \\\)

\(&\Longrightarrow y=\frac{2}{3} x-2\)

Which of the slope - intercept form y = mx + c

Where m = 2/3  and c = -2

Thus, Two/thirds is the slope, and -2 is the y-intercept.

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

A had to be the answer.

Answer:

Interval for constant cost = [0, 10,000] same as 0 <= x <= 10,000

Interval for increasing cost = (10,000, ∞) same as 10,000 < x < ∞

Be careful! note the use of different types of parentheses for each answer part as explained below

Step-by-step explanation:

We are only being asked for the two intervals, not the function definition itself which would have made it a little bit more work. A function has inputs and outputs. Here the input is gallons of water and output is $ cost.

Normally when asked for intervals we use a variable. Let's call it x which represents the gallons of water used

Since there is a base rate of $11.70 whether or not any water is consumed as long as it is less than or equal to 10,000 gallons we can state that over the interval 0 to 10000 (inclusive), the cost is constant

We can represent this interval in two ways
0 ≤ x ≤ 10,000

Another way of representing this interval is what we call interval notation. In interval notation the same thing  can be expressed as:

[0, 10000]    

Here 0 is referred to as the lower limit or bound(minimum) and the 10,000 is referred to as the upper limit or upper bound

Note the use of square brackets. This means that both upper and lower limits are included in the function. Such an interval is also called a closed interval.

After 10,000 gallons, the cost keeps increasing. There is no upper limit on the usage of water. So the lower limit is 10,000  (but does not include that number) and upper limit is infinity

We represent this interval as
10000 < x < ∞

Note that both upper and lower limits are excluded since ∞ is not realistic.

In interval notation this is represented as
(10000, ∞)

Here we are using regular brackets(parentheses) because this interval does not include lower and upper limits

This kind of interval is known as an open interval

Looks like the purpose of this question is to make sure what you understand in terms of interval notation and possibly open and closed intervals. The only relevant number there is the 10,000 gallons which represents the upper bound on the first interval. All the other numbers can be junked

Hope that is of help even if it was wordy

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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Answer:

16.67 or 17 when rounded to nearest dollar

Step-by-step explanation:

$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale

552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.

$600 - 583.33 = $16.67 money left over

Answer:

5.71428571429

Step-by-step explanation:

Answer:

-33=c

Step-by-step explanation:

-11×3=c/-11×-11 which cancels out the -11 and c equals -33

Answer:

Option B.) 12/2 (´⌣`ʃƪ)

Step-by-step explanation:

The rate of a linear equation is equal to the slope m

The slope is equal to

points (2,12) and (4,24)

m=(24-12)/(4-2)

m=12/2

m=6 balls/sec

Step-by-step explanation:

Sets are represented in a Venn diagram by circles drawn inside a rectangle representing the universal set.

The region outside the circle represents the complement of the set.

The overlapping region of two circles represents the intersection of the two sets.

Two circles together represent the union of the two sets.

Answer:

There are a few things you need to know about sets . They are :

1.Sets are represented in a Venn diagram by circles which are drawn inside a rectangle (which represents the universal set).

2.The region outside the circle represents the complement of the set.

3.The overlapping region of two circles represents the intersection of the two sets.

4.Two circles together represent the union of the two sets.

5. Two sets are said to be disjoint sets if they do not share any common elements.

6. (see image ) B is a proper subset of A. This means B is a subset of A, but B ≠ A.

7. A is a proper superset of B. This means that A is a superset of B (all values of set B can be found in set A ) , but A≠B

Answer:

- When all side faces are the same:

Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

Step-by-step explanation:

A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.

There are many types of Pyramids, and they are named after the shape of their base.

We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.

The Surface Area of a Pyramid.

We need to consider the two cases:

- When all side faces are the same:

Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Step-by-step explanation:

step 1. I assume the question is which of the following equations is parallel to y = -3x + 4

step 2. parallel equation have identical slopes (m)

step 3. 6x + 2y = 15 or y = -3x + 15/2 (solve for y)

step 4. 3x - y = 7 or y = 3x - 7 (solve for y)

step 5. 2x - 3y = 6 or y = (2/3)x - 2 (solve for y)

step 6. x + 3y = 1 or y = (-1/3)x + 1/3

step 7. since y = mx + b we want m to be the same

step 8. the answer is A since they both have the same slope.

Answer:

f(x) = -139

Step-by-step explanation:

f(x) = 3x^2 + 10    If f(-7)

f(-7)= 3 * -7^2 + 10

F(-7) = 3 * -49 + 10

f(-7) = -147 + 10

f(-7) = -139

Answer:

-137

Step-by-step explanation:

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

The point in the solution set from the graph is (0, 0)

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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