During a record setting rainfall 0. 057 inch of rain fell every minute for 35 minutes. How much rain fell in 10 minutes?

Answers

Answer 1

During a record-setting rainfall of 0.057 inches of rain falling every minute for 35 minutes, we need to find out how much rain fell in 10 minutes. To get the answer, we need to use the proportionality concept.

Proportionality concept is a rule that describes how two different values are related to each other. It states that if a/b = c/d then ad = bc.This proportionality concept can be applied to the rainfall as follows:0.057 inches of rain fall every minuteTherefore, we can write this as:0.057/1 = x/10 (rainfall for 10 minutes)Where x represents the amount of rainfall in 10 minutes.Now, we need to solve for x. We can do this by cross-multiplying the above equation.0.057 × 10 = x x = 0.57Therefore, the amount of rainfall that fell in 10 minutes is 0.57 inches.

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Related Questions

If the base angles of a trapezoid are congruent, what can be said about the diagonals of the trapezoid?
They intersect at the median.
They split the trapezoid into 4 congruent parts.
They are congruent.
They bisect each other.

Answers

If the base angles of a trapezoid are congruent, the diagonals are congruent.

Properties of a trapezium?

A trapezium is a quadrilateral and the sum of the interior angles is 360 degrees. Therefore, the properties of a trapezium includes the following:

The bases are parallel by definition.Each lower base angle is supplementary to the upper base angle on the same side.If the base angles are congruent, therefore, the trapezium is an isosceles trapezium. This means the diagonals are also congruent.

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HELPPPPPPPP!! loook at pic>>>>>>>>

Answers

The vertex form of the function is f(x) = -2(x-4)^2 + 2

Vertex form of a function

The standard vertex form of a function is expressed according to the expression;

f(x) = a(x-h)^2+k

where

a is a constant = -2

(h, k) is the vertex = (4, 2)

Substitute

f(x) = -2(x-4))^2+2

f(x) = -2(x-4)^2 + 2

Hence the vertex form of the function is f(x) = -2(x-4)^2 + 2

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Volume=
Help me please!! Asap! Thanks so much

Answers

The volume of the oblique prism is 16261 cubic units

How to determine the volume?

The given parameters are:

Height = 23

Base area = 707

The volume is calculated as:

V = base area * height

So, we have:

V = 707 * 23

Evaluate

V = 16261

Hence, the volume of the oblique prism is 16261 cubic units

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suppose cos(a)=4/5. use the trig identity sin^2(a)+cos^2(a)=1 to find sin(a) in quadrant IV.

Answers

Answer:

sin a = -3/5

Step-by-step explanation:

sin^2(a)+cos^2(a)=1

sin^2(a)+ (4/5)^2 = 1

sin^2(a) = 1 - 16/25 = 9/25

sin a = 3/5 ( in Quadrant 1)

In quadrat IV the sine is negative

so sin a = -3/5

Question 13 (5 points
if the current mortgage rates are high and expected to drop in the near future, which of the following loans do you not want to get?
fixed rate
15-year
variable rate
30-year

Answers

When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.

What is mortgage?

It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.

In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.

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If a pet store has 15 puppies 12 kittens and 6 rabbits

Answers

the sum is 33 if you were to add all 3

Suppose that a rectangular piece of glass has a perimeter of 20 meters. if we multiply both its length and its width by 4, what will be the perimeter of the new rectangular piece of glass?

Answers

The perimeter of the new rectangular piece of glass is 80m.

What is the perimeter of a rectangle?The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.

Here, a rectangular piece of glass has a perimeter of 20 meters.

As we know the perimeter P of a rectangle is given by the formula,

P = 2l+2w...(1)

Therefore,

20 = 2l + 2w

20 = 2(l + w)

20/2 = l + w

10 = l + w ....(2)

Now, both the length and width of the rectangle are multiplied by 4,

That is,

The new length of the rectangle is, l = 4l

The new width of the rectangle is, w = 4w

Therefore by substituting this in the equation(1) we get,

P = 2(4l) + 2(4w)

P = 8l + 8w

P = 8(l+w)....(3)

Substitute equation (2) in (3),

That is,

P = 8*10

P = 80m

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Find the magnitude of the
resultant vector.
(8, 10)
W
(7, -1)
[?]
Round to the nearest tenth.

Answers

17.49 is the magnitude of the resultant vector. This can be obtained by adding the vectors and finding magnitude.

Calculate the magnitude of the resultant vector:

Resultant vector: vector that gives the combined effect of all the vectors. When we add two or more vectors, the outcome is the resultant vector.

For example,

Sum of vector (3,4) and vector (5,7)

(3,4) + (5,7) = (3+5,4+7) = (8,11)

(8,11) is the resultant vector of vector (3,4) and vector (5,7)

Magnitude of a vector: the length of the vector. The magnitude of the vector a is denoted as ∥a∥.

Magnitude of a = (a₁, a₂)

∥a∥=[tex]\sqrt{a_{1}^{2} +a_{2}^{2} }[/tex]

In the given question,

v (8,10) and w (7, -1)

Adding the vectors,

resultant vector = (8,10) + (7, -1) = (15, 9)

Magnitude of a vector (a,b) = √a²+b²

Here, magnitude = √15²+9² = √225+81 = √306 ≈ 17.49

Hence 17.49 is the magnitude of the resultant vector.

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10 points please help me and i will mark brainlyist

Answers

Answer:

Min: 32

Lower Quartile: 36

Median: 42

Upper Quartile: 47

Max: 53

Interquartile: 11

Step-by-step explanation:

The min. is just the lowest number.  The lower quartile is the number in the middle of the numbers below 42, the median is the number in the very middle, the upper quartile is the middle number above 41 and the interquartile is the upper quartile minus the lower quartile.  

A school cafeteria uses 10
8 bowls of chocolate pudding.
How many cups of milk are in each bowl of chocolate pudding?
cups

Answers

Using proportions, it is found that there are 5 cups of milk in each bowl of chocolate pudding.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The cafeteria used 10 quarts for 8 bowls, hence the number of quarts per bowl is:

10/8 = 1.25

Each quart has 4 cups, hence the number of cups is:

4 x 1.25 = 5 cups.

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Help me with this question please

Answers

Answer:

[tex]\dfrac{991}{40\sqrt{2}}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sqrt{72}-\dfrac{48}{\sqrt{50}}-\dfrac{45}{\sqrt{128}}+2\sqrt{98}[/tex]

Rewrite 72 as 36·2, 50 as 25·2, 128 as 64·2 and 98 as 49·2:

[tex]\implies \sqrt{36 \cdot 2}-\dfrac{48}{\sqrt{25 \cdot 2}}-\dfrac{45}{\sqrt{64 \cdot 2}}+2\sqrt{49 \cdot 2}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies \sqrt{36}\sqrt{2}-\dfrac{48}{\sqrt{25}\sqrt{2}}-\dfrac{45}{\sqrt{64}\sqrt{ 2}}+2\sqrt{49}\sqrt{2}[/tex]

Rewrite 36 as 6², 25 as 5², 64 as 8² and 49 as 7²:

[tex]\implies \sqrt{6^2}\sqrt{2}-\dfrac{48}{\sqrt{5^2}\sqrt{2}}-\dfrac{45}{\sqrt{8^2}\sqrt{ 2}}+2\sqrt{7^2}\sqrt{2}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]

[tex]\implies 6\sqrt{2}-\dfrac{48}{5\sqrt{2}}-\dfrac{45}{8\sqrt{ 2}}+2\cdot 7\sqrt{2}[/tex]

Simplify:

[tex]\implies 6\sqrt{2}-\dfrac{48}{5\sqrt{2}}-\dfrac{45}{8\sqrt{ 2}}+14\sqrt{2}[/tex]

Combine like terms:

[tex]\implies 20\sqrt{2}-\dfrac{48}{5\sqrt{2}}-\dfrac{45}{8\sqrt{ 2}}[/tex]

Make the denominators of the two fractions the same:

[tex]\implies 20\sqrt{2}-\dfrac{384}{40\sqrt{2}}-\dfrac{225}{40\sqrt{ 2}}[/tex]

Rewrite 20√2 as a fraction with denominator 40√2:

[tex]\implies 20\sqrt{2}\cdot\dfrac{40\sqrt{2}}{40\sqrt{2}}-\dfrac{384}{40\sqrt{2}}-\dfrac{225}{40\sqrt{ 2}}[/tex]

[tex]\implies \dfrac{1600}{40\sqrt{2}}-\dfrac{384}{40\sqrt{2}}-\dfrac{225}{40\sqrt{ 2}}[/tex]

Combine fractions:

[tex]\implies \dfrac{991}{40\sqrt{2}}[/tex]

I have trouble understanding how stuff is worded so please help me I need to know by 4 o’clock today.

Answers

Answer:

Hector makes a tent shaped like a rectangular pyramid the volume is 56 cubic feet and the area is 24 square feet how tall is the tent

Step-by-step explanation:

I need help with cancelling units

Answers

the trick being, you flip the ratio as needed, hmmm in this case we want 750 oz converted to lbs, so hmmm we'd want to cancel out the "oz" part and only leave the "lbs" part,

[tex]750~~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cfrac{1lbs}{16~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{750}{16}lbs\implies 46.875lbs[/tex]

notice, to cancel out the "oz", we placed the 16 at the bottom.

urgent!!!! please help just dont know if it is the use of words or what

Answers

Answer:

The translation rule is: (x,y) → (x-3, y+3)

Step-by-step explanation:

A translation rule in geometry is basically asking you what was done to move the shape to its new location on a graph.

In this particular problem, visualizing the graph isn't actually necessary. You only need to figure out what was added or subtracted to get the new numbers from the old ones.

In the beginning, point D was at the x coordinate 1. To make 1 into -2, you subtract three. The points E and F were also changed from their old numbers to the new ones by subtracting 3.

So, we know that the first half of our rule is x-3.

In the beginning, point D was at the y coordinate 3, but it changed to a 6. To get from 3 to 6, you add three more. Points E and F can also be made into their new numbers by adding 3.

So, we know that the second half of the rule is y+3.

I hope this helped. Please let me know if you have any questions :)

Himari gave birth to twins and named them Adrian and Chang. When they were first born, Adrian massed 2.872.872, point, 87 kilograms and was 54.554.554, point, 5 centimeters tall, and Chang massed 4.544.544, point, 54 kilograms and was 515151 centimeters tall.
How much did the babies mass in total?

Answers

The total mass of Adrian and Chang at birth is 7.41 kilograms

Mass

Adrian weight = 2.87 kilograms and Adrian height = 54.5 centimetersChang weight = 4.54 kilogramsChang height = 51.5 centimeters

Total mass of the babies = Adrian weight + Chang weight

= 2.87 kilograms + 4.54 kilograms

= 7.41 kilograms

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30. Isla swims 4 laps in 2 minutes, and 1
lap = 25 meters. Which of the following
calculations would give her average
speed in meters per second?

Answers

The average speed is 50 meters per second

How to determine the average speed?

The given parameters are:

Laps = 4

Time = 2 minutes

1 lap = 25 meters

Start by calculating the total distance

Distance = Laps * Meters

Distance = 4 * 25 meters

Distance = 100 meters

The average speed is then calculated as:

Speed = Distance/Time

This gives

Speed = 100 meters/2 minutes

Evaluate

Speed = 50 meters per second

Hence, the average speed is 50 meters per second

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1.an examination in three subjects algebra,biology ,chemistry was taken by 41 students. the following table shows how many students failed in each single subject and their various combinations: subject a b c ab ac bc abc failed 12 5 8 2 6 3 1 how many students failed at least in one subject?

Answers

so since this chart shows which subject a certain number of students failed all of them would fall into the category of failing at least on subject so you just add up all the numbers

12+5+8+2+6+3+1= 37

4z-10=10 what do i solve for z

Answers

Answer:

z = 5

Step-by-step explanation:

To solve for z, means to get z all by itself on one side of the equation. In your equation z has had two things done to it. First, z has been times by 4, then 10 is subtracted. So, you "un-do" that in reverse order.

FIRST, add 10. To reverse or "un-do" subtracting.

4z - 10 = 10

4z -10+10 = 10+10

4z = 20

Then, divide by 4 to reverse the multiplying.

4z/4 = 20/4

z = 5

see image.

Also, you can check you answer.

put in 5 in place of z and be sure that you get a true statement.

4(5) - 10 = 10

20 - 10 = 10

10 = 10 Checked!

Answer:

[tex]z=5[/tex]

Step-by-step explanation:

First, substitute in 5 for z: [tex]4(5) -10=10[/tex]

Since [tex]4*5=20[/tex], we can now simplify the equation to [tex]20-10=10[/tex].

Now, check the equation to make sure that the value of z is correct. Do this by subtracting [tex]20-10[/tex] to see if it results in a solution of 10.

Since the equation [tex]20-10=10[/tex] is equal/true, we can conclude that [tex]z=5[/tex].

A 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece will be 2 feet longer
than the other two.
Which equation could be used to solve for the lengths?

x+x+x=10+2
x+x+ 2 x= 10
x+x+x+2=10
x+x+x-2=10

Answers

Answer:

the third : x + x + x + 2 = 10

Step-by-step explanation:

x = the length of the first 2 pieces.

the third piece will be x+2 ft long.

so, the total length of the original board is the sum of all 3 pieces and must be all in all 10 ft.

10 = x + x + (x + 2) = x + x + x + 2

so, it is the third answer option.

design a statistical process for finding how satisfied the students are in the cafeteria of the school with the quality of food

Answers

The design of the experiment above will center around:

The administration of questionnaire based on subject's gender, the place of eating,  type of school and level satisfaction of meal service. The questionnaires to be used will have 5 point of Likert type scale (where 5 stands for very much agree and 1 is totally disagreed) in regards to the level of satisfaction on the quality of food in school cafeteria.Statistical tests will be done and data analyzed by using SPSS (ver.12.0).

What will be the aim of the experiment?

The aim of this study is to know  and compare student's level of satisfaction with school cafeteria food services so as to improve the quality of food served at school meal service.

Hence The design of the experiment above will center around:

The administration of questionnaire based on subject's gender, the place of eating,  type of school and level satisfaction of meal service. The questionnaires to be used will have 5 point of Likert type scale (where 5 stands for very much agree and 1 is totally disagreed) in regards to the level of satisfaction on the quality of food in school cafeteria.Statistical tests will be done and data analyzed by using SPSS (ver.12.0).

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Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 5 vans and 2 buses y with 115 students. High School B rented and filled 1 van () and 6 buses () with 163 students. Each van carried the same number of students and each bus carried the same number of students. Write equations to represent the scenario. Then, graph to find the number of students in each van and in each bus.

Answers

Each van carries 13 students and each bus carries 25 students.

Distribution

Given that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:

5X + 2Y = 1151X + 6Y = 1635X + 2Y = 1155X + 30Y = 815815 - 115 = 28Y700 = 28YY = 700 / 28y = 251X + 6x25 = 1631X = 163 - 150X = 13

Therefore, each van carries 13 students and each bus carries 25 students.

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Answer:

Each van carries 13 students and each bus carries 25 students.

Step-by-step explanation:

The sum of three numbers $a, b$ and $c$ is 60. If we decrease $a$ by 7, we get the value $N$. If we increase $b$ by 7, we get the value $N$. If we multiply $c$ by 7, we also get the value $N$. What is the value of $N$

Answers

The value of N is 28.

What is the solution of the equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

According to the question,

a+b+c=60

a-7=N

b+7=N

7c=N

From the above three equations,

a=N+7

b=N-7

c=N/7

So, N+7+N-7+N/7=60

2N+N/7=60

14N+N=420

15N=420

N=28

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A researcher conducts an experiment to determine whether the type of car (sports vs. utility vehicle) and color of the car (red vs. blue) impact how fast people drive. The researcher decides that the best way to conduct the study is to assign each participant to all four conditions of the experiment. The researcher is using a:

Answers

The researcher is using a within-subjects factorial design.

According to statement

A researcher conducts an experiment to determine whether the type of car and color of the car impact how fast people drive.

This can be done by within-subjects factorial design.

In a within-subjects factorial design, all of the independent variables are manipulated within subjects. This would mean that each participant was tested in all conditions.

Another common example of a within-subjects design is medical testing.

So, The researcher is using a within-subjects factorial design.

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The ages of all employees at a small convenience store are 36, 32, 38, and 28. What is standard deviation of ages for this population

Answers

The standard deviation is approximately 3.84

Step 1: Find the mean
Find the sum of the values, and divide by number of terms.
Mean (average) = (36+32+38+28)/4 = 134/4 = 33.5

We must use Standard Deviation formula which is attached as an image below.

X is the mean here, so lets plug in 33.5

Step 2. Distance from the mean squared |x-mean∣²

For each data point, we will plug in the numbers.
|36-33.5|²=2.5²=6.25

|32-33.5|²=1.5²=2.25

|38-33.5|²=4.5²=20.25

|28-33.5|²=5.5²=30.25
Step 3: Find the sum (∑)
We find the sum here by adding all the distances from the mean squared
∑|x-mean|²=59

Step 4: Divide the sum by the amount of points, 4
59/4=14.75
Step 5: Take the square root of step 4
[tex]\sqrt{14.75}[/tex] is about 3.84

The standard deviation is approximately 3.84

PLs answer fast i need this questions answer

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Given equation:

[tex]x-\left(2x-\dfrac{3x-4}{7}\right)=\dfrac{4x-27}{3}-3[/tex]

Expand the left side:

[tex]\implies x-2x+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3[/tex]

Let all terms on the left side have the same denominator of 7:

[tex]\implies \dfrac{7x}{7}-\dfrac{14x}{7}+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3[/tex]

Join the terms on the left side:

[tex]\implies \dfrac{7x-14x+3x-4}{7}=\dfrac{4x-27}{3}-3[/tex]

[tex]\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-3[/tex]

Let all the terms on the right side have the same denominator of 3:

[tex]\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-\dfrac{9}{3}[/tex]

Join the terms on the right side:

[tex]\implies \dfrac{-4x-4}{7}=\dfrac{4x-27-9}{3}[/tex]

[tex]\implies \dfrac{-4x-4}{7}=\dfrac{4x-36}{3}[/tex]

Cross multiply:

[tex]\implies 3(-4x-4)=7(4x-36)[/tex]

Expand:

[tex]\implies -12x-12=28x-252[/tex]

Add 12x to both sides:

[tex]\implies -12=40x-252[/tex]

Add 252 to both sides:

[tex]\implies 240=40x[/tex]

Divide both sides by 40:

[tex]\implies 6=x[/tex]

[tex]\implies x=6[/tex]

a solution of the equation 3x + y = 15?

Answers

Step-by-step explanation:

Since there is 2 unknown variable ,

so we need 2 equation to find their values.

Which statement is true about solutions to 11 -x<7

Answers

Answer:

A. x=5 is a solution, but x=3 is not

Step-by-step explanation:

When x=5, 11-5<7, 6<7, this is a solution

When x=3, 11-3<3l, 8<7, this is not a solution

re arranging equations
please help choose answer

Answers

Answer:

D.  d = √(V/5)

E.  A = √(b/c).

Step-by-step explanation:

V = 5d^2

Divide both sides by 5:

V/5 = d^2

Now take the square root of both sides:

d = √(V/5)

Note - it's the square root of the whole term (V/5).

b = cA^2

A^2 = b/c

A = √(b/c).

Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

26.1 to the nearest  tenth.

Step-by-step explanation:

tan 43 = x / 28

x = 28 tan 43

  = 26.1102

Solve for x.
A. 3
B. 10
C. 6
D. 1

Answers

The values of x is 1 and 6.

According to the statement

we have two tangents which are represented by x+5 and x+1 then

we have to find the value of x to get the perfect value of tangent

so, due to interior values of tangent they are equal to each other but in opposite sign.

But here we have to find the value of x one by one.

It means

Here we take interior value of tangent and exterior value of tangent equal to each other

So, the equations become are written below

X+5= 6 then x = 1

X+1= 7 then x = 6

So, The values of x is 1 and 6.

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