The average annual rainfall in Tucson, Arizona is 12 inches. Between January and April 2.4 inches of rain fell. What percentage of the annual rainfall fell after April (May through December)? You may want to draw a diagram to organize information.​

Answer:

\(x\) = - 2/7

Alternate form: - 0.285714

Step-by-step explanation:

1- Substitute f ( x ) = 0

Reorder

f ( \(x\) ) = \(x\) x 2 - 16\(x\) - 4

2- Collect like terms

0 = 2\(x\) - 16\(x\) - 4

3- Move the variable to the left

0 = - 14\(x\) - 4

4- Divide both sides

14\(x\) = - 4

Answer:

hope this will help you

Step-by-step explanation:

\( \frac{7m}{4} - 2m - 3 \\ = \frac{7 \times ( - 2)}{4} - 2 \times ( - 2) - 3 \\ = \frac{ - 7}{2} + 4 - 3 \\ = \frac{ - 7}{2} + 1 \\ = \frac{ - 7 + 2}{2} \\ = \frac{ - 5}{2} \\ = - 2.5\)

\((3 + {n}^{4} ) \div 3 \\ = (3 + {3}^{4} ) \div 3 \\ = (3 + 81) \div 3 \\ = 84 \div 3 \\ = 28\)

Answer:

72\(\sqrt{3}\) units²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = ST = a = 12 and h = RS

To calculate RS use the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , thus

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{RS}{ST}\) = \(\frac{RS}{12}\) = \(\sqrt{3}\) ( multiply both sides by 12 )

RS = 12\(\sqrt{3}\)

Thus

A = \(\frac{1}{2}\) × 12 × 12\(\sqrt{3}\) = 6 × 12\(\sqrt{3}\) = 72\(\sqrt{3}\) units²

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.

The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.

Remember that the volume of a cylinder is given by:

volume = (height)*pi*(radius)^2

Where pi = 3.14

Then here the volume of each coin is:

V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³

And there are 230 coins, so the total volume is:

V = 230*0.384 in³ = 88.47 in³

So the correct option is D.

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Answer: D: 88.47 in³​

Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h

Take 1.4 and times it by itself

1.4 x 1.4 = 1.96

Now multiply 1.96 by 0.0625

1.96 x 0.0625 = 0.1225

And times 0.1225 by pi, or in this case, 3.14

0.1225 x 3.14 = 0.38465

Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.

0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³

That is your answer.

Also I took the same test and I picked 88.47 inches cubed and got it right.

Proof:

Have a good day :)))

Answer:

f(t) = 55 = 4t

Step-by-step explanation:

Answer:

45:315

Step-by-step explanation:

Add up the ratio to get the total ratio.

1+7=8

Divide the 360 by the total ratio.

360÷8=45

The number 45 tells you how many times to multiply both sets of the ratio to get a total of 360.

1×45=45

7×45=315

so,

45:315

Hope this helped. Comment below if you need more assistance! :)

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

Step-by-step explanation:

P=10.1

A=3.08

P=4.7+3.2+2.2 =10.1

A=1/2 b h = 1/2 (2.2)(2.8)

Answer:

second option, IQR = 13-6 = 7 and Range = 17-6 = 11

Step-by-step explanation:

Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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Answer:

The answer is "\(\frac{7\sqrt{3}}{2}\)"

Step-by-step explanation:

\(\to \sin 60^{\circ} = \frac{x}{7} \\\\\to x=\sin 60^{\circ} \times 7 \\\\\therefore \sin 60^{\circ} = \frac{\sqrt{3}}{2} \\\\\to x= \frac{\sqrt{3}}{2}\times 7 \\\\\to x= \frac{7\sqrt{3}}{2}\)

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

sum=n+m=-2+5=3 is a answer

Answer:

1 /27

1 over 27

Step-by-step explanation:

brainliest please?

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

Answer to the perimeter

2 x (5 + 13)

Answer:

2 x (5+13)

Step-by-step explanation:

To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Hence, the minimum number of sets of knives kaj should buy is 48  sets.

Given this, a restaurant must have at least 736 knives.

At the moment, it possesses 155 knives.

Every set includes 12 knives.

Let the number of knife sets be.

Reason: Minimum number of sets indicates ≥

This means ≤ the maximum amount of sets

Step: 2

In light of the inquiries,

\(155+s*12\geq 736\)

\(12s\geq 736-155\)

\(12s\geq 581\)

\(s\geq \frac{581}{12}\)

\(s\geq 48.42\)

Step 3: Count the number of knife sets \(s\geq 48.42\)

that is greater than or equal to 48

Therefore, the required minimum is 48 sets of knives.

What are sets?

In mathematics, a set is a well-defined collection of objects. Sets are named and represented using capital letters. In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc.

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Answer:

Natural numbers between \(75^{2}\) and \(76^{2}\) is

(76 * 76) - (75 * 75)

=> 5776 - 5625

=> 151

Therefore, there are 151 natural numbers between \(75^{2}\) and \(76^{2}\)

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Thank You!!

Answer:

B

Step-by-step explanation:

The great-circle distance, orthodromic distance, or spherical distance is the distance along a great circle. It is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior).

Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Any radical expression can be written using rational exponents, in the form:

n√X = x ^1/n

So, for this case:

Simplify:

E(Y|X) is the conditional expectation of Y given X. We can use the law of iterated expectations to show that E(u) = 0.

This law states that E(E(X|Y)) = E(X). Therefore, E(u) = E(Y - E(Y|X)) = E(Y) - E(E(Y|X)) = E(Y) - E(Y) = 0.

b. We can use the law of iterated expectations again to show that E(uX) = 0. This law states that E(E(XY|Z)) = E(X)E(Y|Z). Therefore, E(uX) = E(YX - E(YX|X)) = E(YX) - E(E(YX|X)) = E(YX) - E(Y)E(X) = 0.

c. Let Ỹ = g(x) denote a different prediction of Y using X and let v = Y - Ỹ denote its error. We can use the equation h(X) = g(x) - E(Y|X), so that v = [Y - E(Y|X)] - h(X). Using this equation, we can derive E(v2) = E[(Y - E(Y|X))2] - 2E[(Y - E(Y|X))h(X)] + E[h(X)2]. Since E(Y - E(Y|X)) = 0, this reduces to E(v2) = E[h(X)2] < E[(Y - Ỹ)2], which shows that E[(Y - Ỹ)?] > E[(Y - Ỹ)2].

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The output of the given values that is  -3,-2,-1,0,1,2,3  are 1,0,1,0,1,0,1 respectively.

What is Even and Odd numbers ?

Even numbers are if the numbers divisible by 2 and if it is not divisible by 2 than it is odd number.

Given ,

Here is an input-output rule write 1 if the input is odd write 0 if the input is even .

So, here we have to write outputs according to the given inputs.

And here inputs are -3,-2,-1,0,1,2,3

As -3 is odd, so the output could be 1

As -2 is odd, so the output could be 0

As -1 is odd, so the output could be 1

As 0 is odd, so the output could be 0

As 1 is odd, so the output could be 1

As 2 is odd, so the output could be 0

As 3 is odd, so the output could be 1

Hence, The output of the given values that is  -3,-2,-1,0,1,2,3  are 1,0,1,0,1,0,1 respectively.

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Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.