Find a.
Round to the nearest tenth:
27 cm
102°
28°
a = [? ]cm

Answer:

Step-by-step explanation:

Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function

f(x+2) = 3(x+2) - 5

= 3x + 6 - 5

=3x + 1

Answer:

y=15

Step-by-step explanation:

y = 5|-1+4|

y=5|3|

y=15

Answer:

3:7 ratio

For every 3 girls there are 7 boys on the team

Answer:

3/7

Step-by-step explanation:

Girl-to-boy ratio = numbers of girls divided by numbers of boys

Girl-to-boy ratio = 3/7

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

It would be 70 thousand

Step-by-step explanation:

Answer:

70000

Step-by-step explanation:

When you look at the digit nest to the 10000 place, it will help indicate the rounding rules. If the number is 4 or lower it rounds down. If the number id 5 or higher it rounds up. The number is 3. Since 3 is less than 4, it rounds down to 70000

Answer:

54xy

Step-by-step explanation:

Any 4 sided parallelogram's area is the base multiplied by its height. We know both of those, 6x and 9y

The area is, 54xy

The standard absolute value graph has been shifted 7 units to the right and 3 units down to get this graph.  

That means we have answer B: f(x) = | x - 7 | - 3

Remember that the left-right shifts are opposite from what they would appear to be in the equation.

  | x - 7 | shifts it right 7 units.

  | x + 7 | shifts it left 7 units.

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

\(n' = 2212\) (larger)

Step-by-step explanation:

From the question we are told that

Initial sample size n=1100

Sample range 5

Sample Proportion\(\hat P= x/n=>775/1100=>0.704\)

99% confidence

Margin for error \(E=\pm2 \%=>0.02\)

Generally at confidence level  99%

Level of significance \(\alpha =1-0.99=>0.01\)

\(\alpha /2 =\frac{0.01}{2} =0.005\)

Therefore

\(Z_\alpha_ /_2=Z_0_._0_0_5=2.576\)

\(Z_\alpha_ /_2=2.576\)

Generally sample size is mathematically given by

\(n' = (Z_\alpha_/_2 / E )^2 * \hat P * (1 - \hat P )\)

\(n' = (2.576) / 0.025)^2 * 0.704 * (1 - 0.704)\)

\(n' = 2212.463274\)

\(n' = 2212\)

Therefore the new sample will be larger

Answer:

6n+2

Step-by-step explanation:

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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There is no linear relationship between height and volume for cones with radius 6 units.

The equation V= 12πh represents the volume of a cone in terms of its height. However, this is not a linear equation.

A linear relationship between two variables x and y is of the form y = mx + b, where m is the slope (constant rate of change) and b is the y-intercept (the value of y when x = 0).

In the equation V = 12πh, if we solve for h, we get h = V/127t. This means that the relationship between h and V is not linear since it involves division by t (the radius of the cone), which is a fixed value.

Therefore, there is no linear relationship between height and volume for cones with radius 6 units.

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Answer:

980

i hope this helps.

Answer:

$542

Step-by-step explanation:

Answer:

$542 (if using delta math do NOT put $)

Step-by-step explanation:

31204.2352-30662.5514

541.6838(round)

ANSWER: 542

Step-by-step explanation:

Total insects = 270

Days = 7

If 80 insects to 700 insects

Days = 700 ÷ 80 = 8.75

It will take 8.75 days

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer: Around 50 times.

Step-by-step explanation:

If the spinner is fair, then each number should have the same probability, that is P = 1/5 = 0.20 for each of the numbers.

Now, we know that we have 5 groups, and each group spins 50 times (so we have a total of 5*50 = 250 spins)

Then we can expect to see the number 3 around:

0.20*150 = 50

The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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The exact value of sin(5π/12) is (√6 + √2)/4

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

So, Total Numbers of Engineers at SpaceX is 8.

\(a+b=8\\\)

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

\(56000a + 68000b = 472000\)

Solving both the equation

\(a+ b = 8\\56000a + 68000b = 472000\)

on multiplying first equation -56000 and adding it

\(-56000x - 56000y = -448000\\56000x + 68000y = 472000\)

\(12000b = 24000\\b = 2\\\)

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

SinceTotal Numbers of Engineers at SpaceX is 8.

\(a+b=8\)

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

\(56000a+68000b=472000\)

Solving both the equation

on multiplying first equation -56000 and adding it

\(-56000a-56000b=-448000\\56000a+68000b=472000\)

\(12000b = 24000\\b = 2000\)

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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Answer:

Adding two functions is like plotting one function and taking the graph of that function as the new x-axis. Points of the second function are then plotted with respect to the new axis. For example, (2, 3) becomes "over 2," "up 3 from the new axis," or (3, f + 2).

Another Example:

To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).

Step-by-step explanation:

Hope this helps.      :)

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

C

Step-by-step explanation:

The red dotted line we see is the asymptote, which is a line that the functions will never cross.

The asymptotes we see currently is:

x = -3

and

x = 2

We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:

(x-2) (x+3)

If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.

Answer:

C

Step-by-step explanation:

there are 2 vertical asymptotes at x = - 3 and x = 2

then the factors on the denominator will be (x + 3) and (x - 2)

then

f(x) = \(\frac{1}{(x-2)(x+3)}\)

The value of x is 8 units.

Given that a right triangle, with an altitude dividing the hypotenuse into 4 and 16 units,

The measure of the altitude is x we need to find the measure of the x,

So, according to the definition of similarity,

Their corresponding sides are proportional,

We get,

x / 4 = 16 / x

x² = 4 × 16

x² = 64

x = 8

Hence the value of x is 8 units.

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(40, 45, 50, 55, 60) to (16, 18, 20, 22, 24)

{52, 56, 63, 67, 71} to {20.8, 22.4. 25.2, 26.8, 28.4}

{37, 46, 49, 55, 57} to (17.6, 20.4, 23.6, 26.4, 29.2)

{44, 51, 59, 66, 73} to (14.8, 18.4, 19.6, 22, 22.8)

Domain is the set of all values for which the function is defined. Range is the set of value inside the domain function.

The ranges and domain functions are given which needs to be matched correctly.

This also referred to as input and output function which will create a range and domain function.

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Answer:

I did the test and got this so just change these two and it will be correct

Step-by-step explanation:

I did test on edmentum/PLATO

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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