Calculating Volume (Mixed) again

\(a) \: \: 1000 \times \frac{1}{100} = 10 \\ \)

\(b) \: \: 44 \times \frac{25}{100} = 11 \\ \)

\(c) \: \: 50 \times \frac{30}{100} = 15 \\ \)

Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

Answer:

h

Step-by-step explanation:

x can not repeat itself

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

\( \sqrt{ {16a}^{2} } \)

2) Use this rule:

\( \sqrt{ab} = \sqrt{a} \sqrt{b} \)

\( \sqrt{16} \sqrt{ {a}^{2} } \)

3) Since 4 × 4 is 16, the square root of 16 is 4.

\(4 \sqrt{ {a}^{2} } \)

4) Simplify.

\(4a\)

Therefor, the answer is 4a.

Answer:

Step-by-step explanation:

3 inches is 2 feet

10 inches is 6.66 feet (no this isn't a joke)

The angle of elevation of the sun when the shadow is 20 ft long is approximately 68.2 degrees.

What is angle of elevation?

The angle of elevation is the angle between an observer's line of sight and a straight line drawn horizontally. It is the angle between the observer's eye and an object that is located above the horizontal level of the observer.

(a) To express the angle of elevation Theta of the sun as a function of the length s of the shadow, we can use the following formula:

tan(Theta) = height of pole / length of shadow

Since the height of the pole is given as 50 ft, we can substitute this value into the formula:

tan(Theta) = 50 / s

(b) To find the angle Theta of elevation of the sun when the shadow is 20 ft long, we can use the formula from part (a) and substitute s = 20:

tan(Theta) = 50 / 20

tan(Theta) = 2.5

To solve for Theta, we can take the inverse tangent of both sides:

Theta = \(tan^{-1(2.5)\)

Using a calculator, we get:

Theta ≈ 68.2 degrees

Therefore, the angle of elevation of the sun when the shadow is 20 ft long is approximately 68.2 degrees.

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Answer:

10 : 3

Step-by-step explanation:

15 : 4.5 (divide both parts by 1.5 )

= 10 : 3

ANSWER

My Answer is in the photo above by the way I thought you had made a mistake in the question that's why I gave answers for both 15:4.5 and 15:4:5

By the given conditions, this is a reasonable question. The reasonable equation formed is 240 = 42(4.75) + 40.5 foot

As per the question statement, Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine and he needs to cut 42 lengths, and says that 40.5 feet of twine will remain.

Dab cuts 4.75 foot length of twin at a time

He needs to cut 42 lengths

So when he cut 42 lengths

Total twine cuts by Dan is =42(4.75) foot

Now they say that 40.5 feet of twine remains.

Which means total lengths of twine=cutting twine + remaining twine

So this is the reasonable equation

240=42(4.75) +40.5 foot

Hence, by the given conditions, this is a reasonable question. The reasonable equation formed is 240 = 42(4.75) + 40.5 foot

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Answer: -178.1

Step-by-step explanation:

-71.24 ÷ 0.4

You have to use the rules for division, meaning that when you are DIVIDING a negative and a positive, it stays a negative. (-) ÷ (+) = (-)

-(71.24 ÷ 0.4)

Then just divide the numbers

Which gives you your answer: -178.1

Answer:

  (a)  -178.1

Step-by-step explanation:

You want the quotient of -71.24 and 0.4.

There is one minus sign (an odd number) in this quotient, so the result will be negative.

Dividing by 0.4 = 2/5 is the same as multiplying by the reciprocal of that: 5/2. That is, the result will be somewhat more than double the value -70. It will not be 17 or 1700. The correct choice of magnitude is 178.1.

When the sign is added to the magnitude, the result is -178.1.

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Answer:

Step-by-step explanation:

-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8

Answer:

B dividends

Step-by-step explanation:

The rest are monies paid out.

Answer:

C

Step-by-step explanation:

Within the sentence, it explicitly states "the war was a vehicle for lasting social and economic gains." In other words, the war led to a better future in terms of social and economic gains for discriminated groups (discriminated groups were mentioned in the beginning of the sentence which gives us the who). Some may argue D is correct, but I strongly side with C instead because D emphasizes discrimination ended, while the sentence makes no such claim. The sentence only states discriminatory issues were improved, but still not completely absent. As for A, there is no mention of technology in the sentence. In terms of B, the sentence refers to the "gains" or improvement of discrimination and not the "plague" or worsening of discrimination. Hence, C fits best.

Answer:

20

Step-by-step explanation:

Negative times negative = positive

We have that the distance of planet Mercury from the Sun is approximately:

and the distance of Earth from the Sun is:

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})\)

\(\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12\)

The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

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Given:

Consider the tank that is filled with water drains at a rate of \(\dfrac{d^2}{16}+4d-100\) gallons per minute where d is the depth of the tank in feet.

Depth of tank = 120 feet.

To find:

The rate of water drain for that tank.

Solution:

We have, rate of water drain in gallons per minute.

\(r=\dfrac{d^2}{16}+4d-100\)

where, d is the depth of the tank in feet.

Put d=120, to get the rate of water drain for the tank.

\(r=\dfrac{120^2}{16}+4(120)-100\)

\(r=\dfrac{14400}{16}+480-100\)

\(r=900+380\)

\(r=1280\)

Therefore, the rate of water drain is 1280 gal/min. Hence, the correct option is B.

The given point is (3,2).

The transformation is a rotation 90° clockwise around the point (0,1).

The rule for this transformation would be

So, the transformation would be

Therefore, the final position of the given point is (3,-3).

Answer: 63

Step-by-step explanation:

180-117=63

Answer:

63

Step-by-step explanation:

Pretty simple really.

A straight line is 180...

180-117=63

Answer 63

TADAAA!!!

We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

we know that s=rΘ

S=rθ represents the central angle in radians and r is the length of the radius.

Thus we can say that radian measure of an angle theta is the length of the arc.

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The probability of a tiger living between 27.8 and 30.5 years is approximately 0.68, as this range falls within one standard deviation of the mean.

The lifespans of tigers in a particular zoo are normally distributed, with an average of 22.4 years and a standard deviation of 2.7 years. Using the empirical rule, it is possible to estimate the probability of a tiger living between 27.8 and 30.5 years. This range falls within one standard deviation of the mean, so the probability of a tiger living in this range is approximately 0.68. This means that, out of 100 tigers, 68 will live between 27.8 and 30.5 years. The empirical rule also states that 95% of all tigers will live between 19.7 and 25.1 years and 99.7% of tigers will live between 16.0 and 29.2 years. Knowing this information can help us better understand the lifespan of tigers in the zoo.

The probability of a tiger living between 27.8 and 30.5 years is calculated by using the z-score formula:

z = (x - mean) / standard deviation

Therefore, the z-score for a tiger living between 27.8 and 30.5 years is:

z = (27.8 - 22.4) / 2.7

= 1.37

The probability of a tiger living between 27.8 and 30.5 years is the area under the normal curve between z-scores 1.37 and 0. This area is approximately 0.68.

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Answer:

11, 096, 858, 082

Step-by-step explanation:

Firstly, add 10,009 and 274,628 together which is equal to 284, 637

then you're going to multiply 284,637 and 38,986

which is equal to 11,096,858, 082

Answer:

8 sides

The building is an octagon

Step-by-step explanation:

The sum of all the interior angles in a polygon can be found by the equation

S

=

180

(

n

−

2

)

where

n

is the number of sides the polygon has.

We know that one interior angle is

135

degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be

135

n

(

135

degrees times the number of sides, or the number of angles).

135

n

=

180

(

n

−

2

)

135

n

=

180

n

−

360

135

n

+

360

=

180

n

45

n

=

360

n

=

8

→

There are

8

sides and

8

interior angles of

135

degrees

The simplification of the expression is  \(\frac{15\sqrt{2} }{4}\)

First, find the factors of the number that ahs square root

Given,

= \(\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}\)

Multiply the numerators by the surd of the denominators

= \(\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}\)

Multiply through and find their square root

= \(\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}\)

To simply, we have

= \(\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}\)

Find the LCM

= \(\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}\)

Add through

= \(\frac{75\sqrt{2} }{20}\)

= \(\frac{15\sqrt{2} }{4}\)

Thus, the simplification of the expression is  \(\frac{15\sqrt{2} }{4}\)

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

The width of the roof, to the nearest tenth of a meter is, 17.6 m

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A roof is shaped like an isosceles triangle.

And, The slope of the roof makes an angle of 23.5° with the horizontal, and has an altitude of 3.1 m.

Let width of the roof = 2x

Hence, We can formulate;

tan 23.5° = 3.5 / x

x = 3.5 / 0.4

x = 8.8 m

Hence, The width of the roof, to the nearest tenth of a meter is,

⇒ 2x = 2 × 8.8

        = 17.6 m

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The rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

The formula for finding the rate at which Ben cycles, if Andy cycles at 12 kmph, is given by:

Ben's rate = Andy's rate x Time taken by Ben ÷ Time taken by Andy

Therefore, Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

To calculate Ben's rate, we first need to calculate the time taken by each of them. Andy sets out to cycle from Delhi to Rohtak, and Ben starts from Rohtak to cycle to Delhi. After passing each other, they completed their journey in (13/3) hours and (52/3) hours respectively.

We can calculate the rate at which Ben cycles as follows:

Calculate the time taken by each of them.

Time taken by Andy = 13/3 hours

Time taken by Ben = 52/3 hours

Calculate Ben's rate using the formula given above.

Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

Therefore, the rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

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