In order to multiply fractions, the ______(s) are multiplied together, the_______(s) are multiplied together, and the fractions is simplified

Answer:

[tex]V = \frac{4}{3} \pi r^{2}[/tex] - is the formula for the volume of a circle.

Step-by-step explanation:

Step 1:

   - Insert your values:

       -  [tex]V = \frac{4}{3} \pi 4^{2}[/tex]

Step 2:

   - Simplify using order of operations:

       - Exponents First:

            - [tex]V = \frac{4}{3} \pi 64[/tex]

       - Division Second:

           - [tex]V = 1.333 \pi 64[/tex]

       - Multiplication Last:

           - [tex]V = 268.01555[/tex]

       - And Simplified:

           - V = 268 (approx.)

Hope this helps! Good luck!

Answer:

A) ?

B) Rhombus

Step-by-step explanation:

For A count the squares inside the shape.  I am sorry I had to answer this quickly and did not have time time to count them, but that should be fairly straight forward.

B is Rhombus.

Answer:

P = 12

The height = 6

Base = 4

24*0.5 = 12

B = rhombus

Answer:

12-2³ = 12 - 8 = 4

Hope this helps!

:)

Answer:

290 m

Step-by-step explanation:

3*6*5=90

5*5*8= 200

200+90=290

Answer:

  denominator zeros are excluded

Step-by-step explanation:

The domain is the set of values of the independent variable where the function is defined. A rational function is "undefined" where the denominator is zero.

The exclusions of interest are generally those values of the variable that make any denominator be zero.

__

Example:

  f(x) = (2/(x-3)) / (4/(x -6))

has denominators of x-3 and x-6. These are zero for x=3 and x=6, so those two values are excluded from the domain of this function. We observe that the function can be simplified to ...

  f(x) = (x -6)/(2(x -3))

but x=6 remains excluded from the domain because of its effect in the original function definition.

_____

Additional comment

If the rational function includes functions that have domain restrictions (such as square root, for example), then those restrictions apply as well.

Usually, but not always, the rational functions where you're asked about domain are the ratios of polynomials. So, you need to factor or otherwise find the zeros of any denominator polynomials in such functions.

So the value of X is 15 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

AC=180°

[tex]3x + 8x + 15 = 180 \\ 11x = 165 \\ x = 15[/tex]

Answer:

10.908

Step-by-step explanation:

Answer:

16%

percentage is calculated by 100

A. 2500 × 1/100 = 25%

B. 4100 x 1/100 = 41%

41% - 25%

16%

therefore bridge A is 16% shorter than bridge B

Answer:

55.3

Step-by-step explanation:

19.9% of 278 = 55.322

55.322 rounded to the nearest tenth = 55.3

Answer:55.3

Step-by-step explanation:

Answer:

2.82% probability that all of the sprinklers will operate correctly in a fire

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The probability of a sprinkler operating correctly is independent of other sprinklers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that [tex]p = 0.7[/tex]

10 sprinklers.

This means that [tex]n = 10[/tex]

What is the probability that all of the sprinklers will operate correctly in a fire?

This is P(X = 10).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282[/tex]

2.82% probability that all of the sprinklers will operate correctly in a fire

The probability that all sprinklers will operate correctly in a fire is 0.028

The given parameters are:

p = 0.7 ---- the probability that a sprinkler to activate correctly

n = 10 --- the number of sprinklers

The probability that all sprinklers activate correctly is calculated as:

[tex]P(10) = p^n[/tex]

So, we have:

[tex]P(10) = 0.7^{10[/tex]

Evaluate

[tex]P(10) = 0.028[/tex]

Hence, the probability that all sprinklers will operate correctly in a fire is 0.028

Read more about probability at:

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Answer:

A prism is a three-dimensional shape with the same cross-section all the way through.

Step-by-step explanation: Im not sure if i got the second right

A prism is a three-dimensional shape with the same cross-section all the way through.

A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

A prism has a solid shape consisting of two identical ends (such as triangle, square, rectangle, etc.), flat faces or surfaces and uniform cross-section across its length. The cross-section looks like a triangle hence called triangular prism. The shape of the prism does not have any curve.

To learn more about prism, refer

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Answer:

[tex] A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153[/tex]

So then after 8 years we will have in the account 3283.153

And in order to find the interest we can do the following operation:

[tex] I = 3283.153 -1986 = 1297.153[/tex]

Step-by-step explanation:

For this case we can use the formula for the future value using compound interest given by:

[tex] A = P (1+ \frac{r}{n})^{nt}[/tex]

Where P= 1986 the initial amount invested. r = 0.063 represent the interest rate. n=12 represent the number of times that the rate is compounded in a year. And t =8 years . Replacing the info we got:

[tex] A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153[/tex]

So then after 8 years we will have in the account 3283.153

And in order to find the interest we can do the following operation:

[tex] I = 3283.153 -1986 = 1297.153[/tex]

Answer:

rectangular prism or cuboid

Step-by-step explanation:

The name of the given 3-D shape is rectangular prism or cuboid

Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

 prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                          = [tex]2 (\frac{1}{2} )bh +lA[/tex]

                           = b h + p l

                           = 3 ×4 + 12×20

                          = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Answer:

252

Step-by-step explanation:

Answer:

Step-by-step explanation:

Think about a right triangle with legs AB and AC. Then you have ...

  AB² +AC² = BC² = 10² = 100

If AB and AC are shorter than that, the sum of their squares will be less than 100. When the legs of a right triangle are shortened, the angle between them must increase in order for them to continue to form a triangle.

The triangle with AB² +AC² < 100 is an obtuse triangle.

__

Conversely, if AB and AC are lengthened so the sum of their squares is greater than 100, the angle between them will have to decrease for them to form a triangle.

The triangle with AB² +AC² > 100 is an acute triangle.

The amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have:

Some nutritionists recommend that people eat 31,000 milligrams of fiber each day.

The total amount of fiber Jodi took = 19 + 4 + 2(1) = 25 grams

1 gram = 1000 milligrams

25 grams = 25000 milligrams

The amount of fiber she needs to eat

= 31000 - 25000

= 6000 milligrams

or

= 6 grams

Thus, the amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.

Learn more about the unit conversion here:

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Answer:

(3, -10)

Step-by-step explanation:

let A(x,y) and B(x1,y1)=(1,4)

by midpoint formula i.e. (x+x1)/2 ; (y+y1)/2

as midpoint is centre so,

(2, -3) = (x+1)/2 ; (y+4)/2

2=(x+1)/2  and -3=(y+4)/2

4-1=x    and   -6-4=y

x=3       and    y=-10

therefore A(x,y)=A(3,-10)

We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.

First of all, we will use z-score formula to find z-score corresponding to 146 and 163.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{146-150}{5}[/tex]

[tex]z=\frac{-4}{5}[/tex]

[tex]z=-0.8[/tex]

[tex]z=\frac{163-150}{5}[/tex]

[tex]z=\frac{13}{5}[/tex]

[tex]z=2.6[/tex]

Our next step is to find percentage of data scores falls between both z-scores.

[tex]P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)[/tex]

Using normal distribution table, we will get:

[tex]P(-0.8<z<2.6)=0.99534-0.21186[/tex]

[tex]P(-0.8<z<2.6)=0.78348[/tex]

Let us convert our answer into percentage.

[tex]0.78348\times 100\%=78.348\%[/tex]

Upon rounding our answer to nearest thousandths, we will get:

[tex]78.348\%\approx 78.35\%[/tex]

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately [tex]78.35\%[/tex].

Answer:

0.624

Step-by-step explanation:

DeltaMath

Answer: 540

Step-by-step explanation: because if he pays 45 bucks a month and a year equals 12 then ya do 45x12 and ya get 540

Answer:

Carl spends $540 per year on car insurance

Step-by-step explanation:

Carl pays $45 per month. There are 12 months in 1 year.

All we need to do is multiply the rate per month by the number of months to get our answer.

[tex]45*12=540[/tex]

So the right answer is p^12.

Look at the attached picture

Hope it will help you

Good luck on your assignment..

Answer:

[tex] {p}^{12} [/tex]

Step-by-step explanation:

[tex]( {p}^{6} ) ^{2} [/tex]

[tex]p ^{6 \times 2} [/tex]

[tex] {p}^{12} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

10 servings

Step-by-step explanation:

try your best

Answer:

13.8 servings

Step-by-step explanation:

25 divided by 1.8

Answer:

20/9 mile

Step-by-step explanation:

idk pretty self-explanatory

Answer:

[tex] V = \pi r^2 h[/tex]

For this case we know that [tex] r=5m[/tex] represent the radius, [tex] h = 10m[/tex] the height and the rate given is:

[tex] \frac{dV}{dt}= \frac{100 L}{min}[/tex]

[tex] Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}[/tex]

And replacing we got:

[tex] \frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}[/tex]

And that represent [tex] 0.127 \frac{cm}{min}[/tex]

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

[tex] V = \pi r^2 h[/tex]

For this case we know that [tex] r=5m[/tex] represent the radius, [tex] h = 10m[/tex] the height and the rate given is:

[tex] \frac{dV}{dt}= \frac{100 L}{min}[/tex]

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

[tex] \frac{dV}{dt}= \pi r^2 \frac{dh}{dt}[/tex]

And solving for [tex]\frac{dh}{dt}[/tex] we got:

[tex] \frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}[/tex]

We need to convert the rate given into m^3/min and we got:

[tex] Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}[/tex]

And replacing we got:

[tex] \frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}[/tex]

And that represent [tex] 0.127 \frac{cm}{min}[/tex]

Answer:

60

Step-by-step explanation:tanI=  

adjacent

opposite

​  

=  

3.8

6.7

​  

\tan I = \frac{6.7}{3.8}

tanI=  

3.8

6.7

​  

I=\tan^{-1}(\frac{6.7}{3.8})

I=tan  

−1

(  

3.8

6.7

​  

)

I=60.44\approx 60^{\circ}

I=60.44≈60  

∘

Answer:

1/4(8/3+9)-3

Step-by-step explanation:

1/4(8/3+9)-3

Answer:

This would be false

Step-by-step explanation:

Exponents can't be negative

Answer:

An exponential function can not be either 1, 0, or any negative number.

Answer:

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 300, p = 0.2[/tex]

So

[tex]\mu = E(X) = np = 300*0.2 = 60[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.2*0.8} = 6.9282[/tex]

What is the approximate probability of observing 51 or fewer vapers in a random sample of 300?

Using continuity corrections, this is [tex]P(X \leq 51 + 0.5) = P(X \leq 51.5)[/tex], which is the pvalue of Z when X = 51.5 So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{51.5 - 60}{6.9282}[/tex]

[tex]Z = -1.23[/tex]

[tex]Z = -1.23[/tex] has a pvalue of 0.1093.

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Answer:

  20 times

Step-by-step explanation:

The faster swimmer can swim twice the length of the pool in ...

  (2·90 ft)/(3 ft/s) = 60 s

The slower swimmer can do it in ...

  (2·90 ft)/(2 ft/s) = 90 s

The least common multiple of these times is 180 s = 3 minutes, after which time each swimmer will be back where they started.

A graph of position vs. time shows the swimmers pass 5 times in that 3-minute period. 4 of those are passes when they are going in opposite directions. A 5th pass occurs at one end of the pool, when the faster swimmer passes the slower one going in the same direction.

Since there are 5 passes in each 3-minute period, there are 20 passes in 12 minutes.

The swimmers pass each other 20 times in 12 minutes.

Answer:

16

Step-by-step explanation:

3x² + 4y² where x = 2, y = 1, and z = -3

Here we just need to plug in the given values to their respective variables

Answer:

0 if the original expression is : 3x^2 + 4yz

Step-by-step explanation:

3x^2 + 4yz ; I guess this is the original expression.

When x=2, y = 1 z =-3

3x^2 + 4yz = 3(2)^2 + 4 × (1)×(-3)

= 3×4 + 4 × (-3) = 12 - 12 = 0