3. It snowed 80 inches over 10 days. What is the rate? What about the unit rate?

Answers

Answer 1
It snowed 8 inches of snow per day.

Related Questions

A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of oil has been used

Answers

The fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

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Evaluate if t=2 and x=3: 3(2x² - £)
a.) 102
b.) 30
c.) 48
d.) 12​

Answers

C. 48 is the answer for 3(2x^2-£)

The data show the heights in feet of 14 roller coasters. find the mean, median, midrange, and mode for the data.

Answers

The mean of the heights of roller coaster is 27.92 feet, median is 21, mode is 16 and mid range is 35.5.

Given heights in feet of 14 roller coaster 11,12,13,14,16,21,25,26,31,40,51,55,60.

We have to calculate the mean, median, mid range and mode for the data.

Mean is the sum of numbers divided by the numbers.

Mean=∑X/n

∑X=11+12+13+14+16+21+25+26+31+40+51+55+60

=391

n=14

Mean=391/14

=27.92 feet.

Median is the central value of the data given.

Median=(n/2)th term ,when  n is even, ( n/2)th term, (n+1)/2th term when n is odd.

Median=14/2th term=7th term which is 21.

Mode is the number which has higher frequency.

Mode is 16 because it comes 2 times.

Mid range is the sum of upper value and lower value of data divided by 2.

Mid range=(11+60)/2==35.5.

Hence the mean is 27.92 feet, median is 21 feet, mid range is 35.5 feet, mode is 16 feet.

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Question is incomplete as the values of height should be included as under:

11,12,13,14,16,16,21,25,26,31,40,51,55,60.

Please help!!! Having some trouble with this! Tom, Jim, and Matt want to build a castle next to their swing set. The castle is as wide as the swing set, and 6 feet long. The additional play area is enlarged to yield the following layout:|

Answers

Length = 7 + 2x [L]

Breadth = 6 + x [B]

So, Area = L × B

=> Area = (7 + 2x) (6 + x)

=> Area = 7 × 6 + 7x + 2x × 6 + 2x²

=> Area = 42 + 7x + 12x + 2x²

=> Area = 2x² + 19x + 42

Option B is correct.

Any questions, you may ask.

Answer: b.) 2x² + 19x + 42

Area of rectangle:

⇒ Length × Width

⇒ (6 + x) × (7 + 2x)

apply distributive method: (a + b)(c + d) = ac + ad + bc + bd

⇒ 6(7) + 6(2x) + x(7) + x(2x)

simplify

⇒ 42 + 12x + 7x + 2x²

arrange

⇒ 2x² + 19x + 42

(score for question 3: ... of 10 points) 3. the table shows the test scores and the sleep averages of several students. test score (%) 88 75 76 92 96 94 83 90 99 65 7788 82 83 94 97 7 6.5 average sleep (h) 6 7.5 8 7 6.5 8 8.5 5 7 8 9 9 9 8.5 8.5 (a) write the least squares regression equation that models the data. let x = the test score and y = average sleep. (b) use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. show your work. answer: 1

Answers

The linear regression model obtained by fitting the data points is Y = 0.0914X1 - 0.3741.

How to illustrate the regression?

x = test score

y = average sleep

Slope = 0.0914

intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

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Can someone help me out in these geometry fill in the blanks? It’s urgent, gotta have answers fast

Answers

Answer:

Vertical angles are equal

Step-by-step explanation:

-

[tex]vertical \: angles \: are \: equal[/tex]

[tex]3y = 150[/tex]

The sum of two supplementary angles equals 180 degrees

Therefore 6x +150=180

Damien and Anna are counting fish. They have 4 tanks with 4 fish and 5 tanks with 2 fish. They are planning to fill an order for 3 fish today. Which expression shows how many fish they will have in stock after the 3 are sold. 4×4+5×2−3 3−4×4+5×2 4+4×5+2−3 4×4×5×2−3


GIVEING BRAINLYEST!

Answers

Answer:

The answer is  4×4+5×2−3.

Step-by-step explanation:

This is because, in the original amount, they had 4 tanks with 4 fish and 5 tanks with 2 fish. 4x4 is 16 and 5x2 is 10. Then you add them together to get 26. But, you have to subtract 3 because of the order of 3 fish, which equals 23. The equation 4×4+5×2−3 shows that.

Area=
Help me please!! Thanks :)

Answers

Answer:

80π

Step-by-step explanation:

Circle O with radius IO:

large radius = IO = 12 = R

Circle O with diameter JK

IJ = JK = KL = 2 × IO = 24

IJ = JK = KL = 24/3 = 8

small radius = 8/2 = 4 = r

The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.

That is the same as

1 semicircle of radius 12 plus 1 semicircle of radius 4

A = πR²/2 + πr²/2

A = π(12² + 4²)/2

A = 160π/2

A = 80π

A commitee is consist of 6 men and 4 woman ,a sub commitee is made by randomly choosen three commitee members .what is the probability that(a)they are all woman (b) two of them are men

Answers

Answer:

a) 1/30

b) 1/6

Step-by-step explanation:

a) There are 10 people total and a group of 3 is being chosen. However, they all need to be women:

For the first person, the probability of it being a woman is 4/10

For the second person, the probability of it being a woman (with the prerequisite that the first was a woman) is 3/9

For the third (with the same requirements) is 2/8

If we multiply all of the fractions together, we get: [tex]\frac{1}{30}[/tex]

b) There are 10 people total and a group of 3 is being chosen. However, two of them need to be men, and 1 needs to be a woman:

For the first person, the probability of it being a man is 6/10

For the second person, the probability of it being a man (with the prerequisite that the first was a man as well) is 5/9

For the third person, the probability of it being a woman (because it can only be two men) is 4/8

If we multiply all the fractions together, we get: [tex]\frac{1}{6}[/tex]

Which of the Following illustrates how to find the difference of
12a ^2b and —5a^2b?

Answers

Answer:

17a^2b

Step-by-step explanation:

Difference = subtracting

12a ^2b - (-5a^2b)

12a ^2b + 5a^2b

17a^2b

which factor tree for the graph the function below? Check all that apply.


f(x)= 4•5^x

Answers

The statements that are true are B, C, and F.

Which facts are true about the exponential function?

Here we have the exponential function:

[tex]f(x) = 4*5^x[/tex]

We can see that the initial value is 4, and the base is 5. Because the base is larger than 1, this is an exponential growth function.

The statements that are true are:

B: The domain of an exponential function is always the set of all real numbers.

C: Is an exponential growth, so yes, it is increasing.

F: The y-intercept is given by evaluating the function in x = 0, when you do that, you get the initial value, which is 4. So the y-intercept is (0, 4).

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What is the y-value of the solution to the system of equations {3x+4y=42x−4y=6?

Answers

The value of y for the system of equation is -1/2 .

What is a System of Equation ?

A system of equation is a set of equation that have common solution

The set of equation given is

3x+4y=4

2x−4y=6

To solve the system , Elimination method will be used

Add equation 1 and 2 to eliminate y

5x  = 10

x = 2

Substitute the value of x in equation 1 to determine y

3x +4y = 4

6 + 4y = 4

4y = -2

y = -1/2

Therefore the value of y for the system of equation is -1/2 .

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Enter the first 4 terms of the sequence defined by the given rule. assume that the domain of each function is the set of whole numbers greater than 0. f(n) = (2n + 2)2 the first 4 terms of the sequence are , , , and .

Answers

The first four terms of the sequence are 8,12,16 and 20.

What is a Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite). In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions. An indexed family, which is a function from an index set that may not be a set of numbers to another set of elements, can be thought of as a generalization of the idea of a sequence.

Given the function is f(n) = (2n+2)2

Now, we want first four terms, therefore, putting 1, 2, 3, 4 in the sequence we get:

f(1) = (2*1+2)2 = 8

f(2) = (2*2+2)2 = 12

f(3) = (2*3+2)2 = 16

f(4) = (2*4+2)2 = 20

Hence, The first four terms of the sequence are 8,12,16 and 20.

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Select the two expressions equal to the area of this figure in square centimeters.

Answers

Answer:

1.(6*4) + (18*6) + (6*4)

1.(6*10) + (6*6) + (6*10)

Step-by-step explanation:

there are two ways to break this shape into three rectangles:

1.Top right rectangle, Top left rectangle, Bottom long rectangle

2. Left rectangle, Middle square, Right rectangle.

If you could answer this thank you!

Answers

Answer: 55°

Step-by-step explanation:

Hi!

since an angle bisector splits it in half,

110°, being the entire angle divided by 2 = 110/2 = 55°

HELP MATES, HELP!
Mustafa was asked whether the following equation is an identity:

Answers

Answer: Mustafa is incorrect. He made a mistake in step 2.

Step-by-step explanation: Mustafa was certainly correct in step 1 that x(9x+3) + 3(x+3) is 9x^2 + 6x + 9. However when he was factoring, he made a mistake.

(3x + 3)^2 is NOT equal to 9x^2 + 6x + 9. Rather, (3x + 3)^2 is equal to 9x^2 + 18x + 9. If you want to double check this, use FOIL.

The correct factoring of 9x^2 + 6x + 9 is actually 3(3x^2 + 2x + 3). So, Mustafa made a mistake in step 2.

f(x)=x(4x+9)(x-2)(2x-9)(x+5) has zeros at x = -5, x = -9/4, x=0, x=2, and x =9/2. what is the sign of f on the interval 0

Answers

Answer:

Just look at the other answer

Step-by-step explanation:

Answer:

f is always positive on the interval.

Step-by-step explanation:

Evaluate the expression 9 - z when z = 4.

Answers

Answer:

its 5 5+4=9

Step-by-step explanation:

We plug in 4 for the value z

9 - z = 9 - 4 = 5

Solve x ^ 2 - 3x = - 8 using the quadratic formula.

Answers

Answer: [tex]\frac{3 +- \sqrt{23}i}{2}[/tex] If using complex numbers, or undefined if using all real numbers

Step-by-step explanation:

Moving -8 to the left side of the eq by adding both sides by 8=

x^2-3x+8=0

The quad formula:[tex]\frac{-b +- \sqrt{b^2-4ac}}{2a}[/tex]

a=1 b=-3 c=8

Inserting a b c values into formula: [tex]\frac{-(-3) +- \sqrt{(-3)^2-4(1)(8)}}{2(1)}[/tex]

Simplifying: [tex]\frac{3 +- \sqrt{9-32}}{2}[/tex]

[tex]\frac{3 +- \sqrt{-23}}{2}[/tex]  Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.

OR

[tex]\frac{3 +- \sqrt{23}i}{2}[/tex] Using complex numbers i, to replace the negative number created by subtracting 9-32.

Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?
T

Answers

Step-by-step explanation:

The radians is just the length of the arc, so if you had a unit circle where the radius was 1, the length of that entire circle would be [tex]2\pi[/tex] since the circumference of any circle is [tex]2\pi r[/tex] except r is 1 so the length is just [tex]2\pi[/tex]. So if you take 1/4 of this you get [tex]\frac{2\pi}{4}[/tex] which can be simplified to  [tex]\frac{\pi}{2}[/tex]

Answer:

Step-by-step explanation:

Comments

You need to get the radian measure of the circle.

The radian measure of the entire circle is 2 * pi

To get the radian measure of 1/4 of the circle, just divide by 4.

2 pi / 4 = pi/2

The central angle is = to 1/4 of the circumference of the circle.

So the central angle is also pi/2

Answer: pi/2

1. Triangle ABC has an angle of ABC = 60°, AB = 3 √3 cm and BC = 4 √3 cm. Determine the length of AC.​

Answers

Answer:

see below

Step-by-step explanation:

you can use cosine law

(3 sqrt3)^2 + (4 sqrt3)^2 - 2(3 sqrt3)(4sqrt3)cos60 = AC^2

AC = sqrt39

Figure AAA is a scale image of figure BBB.

Figure AAA maps to figure BBB with a scale factor of \dfrac{2}{7}
7
2

start fraction, 2, divided by, 7, end fraction.
What is the value of xxx?

Answers

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

What is a transformation?

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the increase or decrease in the size of a figure.

Figure A maps to figure B with a scale factor of 4/9, hence:

4/9 * x = 16

x = 54

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

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PLS HELP ITS URGENT I HAVE LIKE A COUPLE QUESTIONS LEFT IM STUCK ON THIS

Answers

Answer: 3[tex]i[/tex]

Step-by-step explanation: The reason for this is because [tex]i[/tex] =

[tex]\sqrt{-1}[/tex], and when [tex]\sqrt{-1}[/tex] is multiplied to [tex]\sqrt{9}[/tex], it becomes [tex]\sqrt{-9}[/tex]. Since [tex]\sqrt{9}[/tex] can be simplified to 3, we can just multiply [tex]i[/tex] to 3. This becomes 3[tex]i[/tex].

Hope this helped!

Answer:

3i

Step-by-step explanation:

Evaluate the following
a) 5 ÷ 2 (mod 6)
b) 9 ÷ 7 (mod 7)
c) 3 × 2 ÷ 5 (mod 7)​

Answers

Neither 2 nor 7 have inverses mod 6 or 7, respectively, so the expressions in (a) and (b) cannot really evaluated... At least we can evaluate (c) :

[tex]5\times3 \equiv 15 \equiv 1 \pmod 7 \\\\ \implies 3\times2\div5 \equiv 3\times2\times3 \equiv18 \equiv \boxed{4 \pmod{7}}[/tex]

What is the equation of a circle whose radius is 16 units and center is at (2,-5)?

Answers

Answer:

The general equation of the circle is [tex]( {x - a})^{2} + ({y - b})^{2} = {r}^{2} \\ therefore \: we \: \: have \: \\ ( {x - 2})^{2} + (y - ( - 5)) {}^{2} = ({16})^{2} \\ ({x - 2})^{2} + ( {y + 5})^{2} = 256[/tex]HOPE THIS HELPS!

What is the slope of the line that passes through (0,5) and (10,0)?

Answers

Answer:

-1/2

Step-by-step explanation:

slope is change in y / change in x

change in y is -5 bc y decreases by 5

change in x is 10 bc x increases by 10

-5/10 simplifies to -1/2

If LM = 3x + 5, MN = 4x, and LN
=
11x7, select all that are true

a. x=3
b. x=7
c. lm = 14
d. lm = 28
e. ln = 26
f. ln =54

Answers

We have that x = 3, LM = 14 and LN = 2. options A, C and E

How to determine the value

We known that the three sides are on a straight line

LM  + MN = LN

Let's substitute the values, we have

3x + 5 + 4x = 11x - 7

Collect like terms

3x + 4x - 11x = -7 -5

-4x = -12

x = -12/ -4

x = 3

LM = 3x + 5 = 3(3) + 5 = 14

LN = 11x - 7 = 11(3) -7 = 33 -7 = 26

Thus, we have that x = 3, LM = 14 and LN = 2.  options A, C and E

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a doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 99% confident that her estimate is within 3 ounces of the true mean

Answers

The sample size that gives 99% confidence level and estimate will be within 3 ounces is 0.7386[tex](standard deviation)^{2}[/tex].

Given  confidence level 99% and margin of error is 3 ounces of true mean.

Margin of error is the difference between the actual values and the calculated value of mean.

Sample size is the number of items taken from the population as a sample for research.

We have to find the sample size.

First we have to find the z value for the corresponding p value of 0.99.

z value=2.58

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

3=2.58σ/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]=2.58/3 σ

Squaring both sides

n=[tex]2.58^{2}[/tex]σσ

Hence the sample size needed is 2.58 ([tex](standard deviation)^{2}[/tex].

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Line K has a slope of -5. Line J is perpendicular to line K. What is the slope of line K?

Answers

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

Help me with answer to these questions and sorry that it is in spanish.

Answers

The computation of the decimals are illustrated below.

How to calculate the values?

1. 7/4 + √5

= 1.75 + 2.24

= 3.99

2. -✓2 + 9

= -1.41 + 9

= 7.59

3. 2 - 5/4

= 2 - 1.25

= 0.75

4. 7.93 + 1/7

= 7.93 + 0.14

= 8.07

5. π + ✓5

= 3.14 + 2.24

= 5.38

6. ✓2 + 13/4 - 3

= 1.41 + 3.25 - 3

= 1.66

7. 8.5 - 12.65

= -4.15

8. 4 + ✓3 - 11/3

= 4 + 1.73 - 3.67

= 2.06

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