a pump moves 42 gallons in 7 minutes

Answer:

50

Step-by-step explanation:

primero se realiza la multiplicacion de 150*3 y su resultado es 450 para luego restar 500-450= 50

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Step-by-step explanation:

The area A of a triangle is given by

\(A = \frac{1}{2}bh\)

where b is the length of the base and h is its height. Solving for h, we get

\(h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}\)

\(\:\:\:\:= 5.14\:\text{m}\)

Answer:

28.45.

Step-by-step explanation:

5 x 5.69

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

The result of the expression as given in the task content is; 750/π.

It follows from the task content that the result of the division operation as given in the task content is to be determined.

Given the expression; 1000 ÷ (4/3)π

The expression can therefore be rewritten as follows;

1000 × (3/4) π

Hence, we have;

3000/4π

By further simplifying the expression; we have;

750/π

Hence, the result of the division as given in the task content is; 750/π.

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Answer:

C

Step-by-step explanation:

subtract 5 from both sides

It will take the two ships at ports M and N 162miles apart 2.33 hours to meet.

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

let the distance both ships meet be x and he time taken to get to x by first ship be t.

second ship: time taken to get to (160 - x) is (t - 0.75) 45 minutes is same as 0.75 hour

so speed of first sheep

45 = x/t

x = 45t--------------1

speed of second ship

36 = 162-x / t - 0.75

cross multiply

36(t - 0.75) = 162 -x

x = 160 - 36(t - 0.75) -------------------2

equate equation 1 and 2

45t = 162 - 36(t - 0.75)

multiply out

45t = 162 -36t + 27

45t+36t = 162+27

81t = 189

t = 189/81

t = 2.33 hours

In conclusion the time taken for both ships to meet is 2.33 hours

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The expression for the height (h) in terms of radius r is h = 547/(∏r²).

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

Given that the volume of the cylinder is 547 cubic inches.

The volume of a cylinder is V = ∏r²h

Where r is the radius of the cylinder.

h is the height of the cylinder.

Putting V = 547, r = r and h = h in V = ∏r²h

547 = ∏r²h

∏r²h = 547

Divide both sides by ∏r²:

h = 547/∏r².

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first car is x

second car is y

25x+30y=1550

x+y=55

Multiply the second equation by -25 for elimination method to cancel out x

-25x-25y=-1375

Add the two equations

5y=175

y=35

Plug this value into the second equation

x+35=55

x=20

Final answers:

First car=20 gallons

Second car=35 gallons

The value of N would be N = q/(9 + 4uz).

What is algebraic manipulation?

Algebraic manipulation is the process of rearranging mathematical expressions in order to solve equations or to make them easier to understand. It involves the use of mathematical operations and properties such as addition, subtraction, multiplication, division, and the commutative, associative, and distributive properties.

Given:

q - 4Nuz = 9N

To find the value of N, we can use algebraic manipulation.

9N + 4Nuz = q

N(9 + 4uz) = q

N = q/(9 + 4uz)

Hence, the value of N would be N = q/(9 + 4uz).

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The value of x and line BD are 2.4 and 31.6

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Since the opposite sides of parallelogram are equal , AB = DC

13x-20 = 2x+6

13x -2x = 6+20

11x= 26

x = 26/11 = 2 4/11 = 2.4

BD = 2( 5x+4)

= 2(5 × 26/11 +4)

2( 130/11+4)

= 260/11 +8

= 31.6

therefore the values of x and BD are 2.4 and 31.6

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9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer:

\(A=24\)

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  \(A=\frac{1}{2}(b_1+b_2)h\).

Now we plug in what we already know.

\(A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)\)

Now we start with the parenthesis

\(A=\frac{1}{2}(12)(4)\)

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

\(A=24\)

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Answer:

from top to bottom: 12, 17, 90

Step-by-step explanation:

the total for the first row is 45, and 2 of the numbers are 23 and 10. so, what you do is add 23 and 10 to get 33. Then you just subtract 33 from 45 to get 12.

Same with the other one. the total is 40 so you just subtract 23 from 40 to get 17.

The last one you add the numbers up. So 40+17+33 is 90.

pls mark brainliest (it is the crown)

Answer:

Sophomores in Art: 17

Freshmen in Drama: 12

Total Total: 90

Step-by-step explanation:

Total Kids in art: 40

Freshmen in art: 23

that leaves 17

Total kids in Drama: 33

Sophomores in Drama: 21

that leaves 12

Total sophomores in total: 45

Total freshmen in total: 45

That adds up to 90

Answer:

4m + 8n -4p

Step-by-step explanation:

Im pretty sure its that. Hope its right!

Answer:

 A) y = 3(x -3)^2 -46

 B) (3, -46)

 C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

 y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

 y = 3(x^2 -6x +9) -19 -3(9)

 y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

 y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Step-by-step explanation:

Answer:

24 in^3

Step-by-step explanation:

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Answer:

10% because 100% - 90% = 10%

Step-by-step explanation:

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

i would say 8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since the question requires determining how many times 4.2 x 10^2 will be found in 2.1 x 10^8.

We simply have to divide 2.1 x 10^8 by 4.2 x 10^2

Dividing the numerator and denominator and applying the laws of indices

=> 0.5 x 10^6

=> 5 x 10^5

Option C is correct

A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Therefore , the solution of the given problem of  ordered pair  comes out to be -7 is the solution.

Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.

Here,

In the ordered pair

=>  (6, -7), the number -7 indicates the y-coordinate.

The x-coordinate is represented by number one in the sorted pair,

6, and the y-coordinate is represented by number two, -7.

So, -7 is the solution.

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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is  the number -7 represents the y-coordinate.

In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.

Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.

There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.

In the ordered pair (6, -7), the number -7 represents the y-coordinate.

In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.

So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.

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Using matrices concepts, it is found that the correct options are:

The operation that does not exist for matrices is division, hence, it is the first option.

Since division does not exist, the inverse matrix is used, which is the second option.

To verify it the correct inverse has been found, the inverse should be multiplied with the original matrix, and the result should be the identity matrix(ones at the diagonal, zeros at the rest of the matrix).

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Answer:

Step-by-step explanation:

Division.

Inverse.

Multiplied.

Identity.