Given f(x)=2x+4,g(x)=x+5,h(x)=x^(2)-3; find g(h(-2))

Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

Answer:320

Step-by-step explanation:PEMDAS. So first you would do the exponent 2^5= 32 (2x2=4 4x2=8 8x2=16 16x2=32)

Then you multiply 10x32 which equals 320

Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

-5 / 30

= -1/6

y = -1/6x + b

0 = -1/6(2) + b

0 = -1/3 + b

1/3 = b

Answer:

5/8 * 100 = 62.5 %

Answer:

It was moved 10 units down.

Step-by-step explanation:

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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The ledger accounts for Concia Traders are given below:

Capital:

Opening Balance – R105,000

Drawings:

(5) R5,745

Land and Buildings:

(4) R64,065

Vehicles:

(2) R20,340

Equipment:

(2) R1,250

Trading Stock:

(4) R8,482

(5) R16,386

Cash:

(2) R450

Sales:

(4) R13,560

Cost of Sales:

A. Purchases (assume the missing value is for purchases since there is no other related account):

Rent Income:

(3) R5,000

Packing Material:

(4) R3,330

Trading License:

(4) R7,000

Stationery:

(4) R753

Water and Electricity:

(4) R414

Telephone:

(4) R577

(5) R1,334

(4) R994

Note that due to the missing transaction numbers and values in the provided data, this may have an effect on the precision of the ledger accounts. Nevertheless, I have done my best to create these ledger accounts with caution and accuracy.

To determine the selling price through applying a 50% markup on cost price, use this formula:

Selling Price = Cost Price + (Cost Price x Markup Percentage).

For example, if the cost price for an item is R100, then the selling price will be calculated as:

Selling Price = R100 + (R100 x 0.50) = R100 + R50 = R150.

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There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

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Answer: 13/20

Step-by-step explanation: First to find the first part, we need to find a common denominator. So we must ask ourselves, which number is a multiple that both 5 and 4 have in common? The answer then would be 20. So, it would look like this:

\(\frac{1}{4} = \frac{?}{20}\)

\(\frac{2}{5} = \frac{?}{20}\)

So to find what "?" equals for both fractions, we must use this formula:

Amount =  Right denominator / Left denominator (1st part)

So, now we do 20 / 5 and 20 / 4

20 / 5 = 4

20 / 4 = 5

So, the 2nd part is taking the quotient from that and multiplying it by the left numerators. This would look like this:

5 * 1 = 5

4 * 2 = 8

So your "?" should look like this:

\(\frac{1}{4} = \frac{5}{20}\)

\(\frac{2}{5} = \frac{8}{20}\)

Then, you'd just add! So, 8 + 5 = 13 and 20 + 20 would stay that same ; 20. So your result is \(\frac{13}{20}\)

I hope this helped!

Answer:

$12.50

Step-by-step explanation:

1.25 * 6 = 7.5

20-7.5 = 12.5

Answer:

\(0W = 32yd\)

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

\(0N = 30yd\)

\(NW = 12yd\)

Required

Determine 0W

To solve this , we apply Pythagoras theorem as follows:

\(0W^2 = 0N^2 + NW^2\)

\(0W^2 = 30^2 + 12^2\)

\(0W^2 = 900 + 144\)

\(0W^2 = 1044\)

Take square roots

\(0W = \sqrt{1044}\)

\(0W = 32.31\)

\(0W = 32yd\) (approximated)

Hence, she walked 32 yards

The age of your uncle is modeled by:

y = 2 + 3*x

Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.

Let's define the variables: y as your uncle's age and x as your age.

Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:

y = 2 + 3*x

This is the equation we needed to find.

b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:

y = 2 + 3*12

y = 2 + 36

y = 38

That's the age of your uncle.

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Answer:

Below

Step-by-step explanation:

There were   11 boys in the survey and  4 can't bike

   4 is what percent of  11  ?

           4/11 * 100% = 36.4 %   <===boys who can't bike

30 people in all were surveyed    19 were girls

   what percent of 30 is 19 ?

         19 / 30 * 100% = 63.3 % were girls

Answer:

Yes. That is correct

Step-by-step explanation:

The slope of the line through the two data points is 3.5°F/hour where y represents the change in temperature, and the change in x represents the change in time.

To find the slope of the line through the two data points (-2, 8:00 a.m.) and (4, 12:00 p.m.), we can use the formula for slope:

slope = (change in y) / (change in x)

In this case, the change in y represents the change in temperature, and the change in x represents the change in time.

Given the data points:

Point 1: (-2, 8:00 a.m.)

Point 2: (4, 12:00 p.m.)

The change in y (temperature) is:

change in y = 12°F - (-2°F)

= 14°F

The change in x (time) is:

change in x = 12:00 p.m. - 8:00 a.m.

= 4 hours

Now we can calculate the slope:

slope = (change in y) / (change in x)

= 14°F / 4 hours

= 3.5°F/hour

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The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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Answer:

Given that,

The function is,

To find: To find the slope of the secant line from x1=0 and x2=4

Explanation:

First we find the corresponding y values that is y1 and y2 for the given x1 and x2 respectively.

we get,

Whwn x1=0,

When x2=4, we get,

To find the slope of the line passing the points (0,555), (4,1099.8)

we know that,

Slope of the line passing through the points (x1,y1) and (x2,y2)

we get,

Answer is:

Slope of the secant line from x1=0 and x2=4 is 136.2.

Answer:

C: y + 3 = 1/4(x + 4)

Step-by-step explanation:

Perpendicular to a given line means opposite inverse of the slope...

Equation of line is: y = -4x - 3

slope in above equation is -4, perpendicular would be 1/4

Perpendicular equation of a line through P(-4, -3):

y = mx + b

-3 = 1/4(-4) + b

-3 = -1 + b

b = -2

Use perpendicular slope and the b from above to form the perpendicular equation of line:

y = 1/4x - 2

Check:

(-3) = 1/4(-4) - 2

-3 = -1 - 2

-3 = -3

the asymptote is y = 2 and the y - intercept is (0,5)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. That is, as approaches from either the positive or negative side, the function approaches positive or negative infinity.

According to the question

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Hence, the asymptote is y = 2 and the y - intercept is (0,5)

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Answer:

x = 9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

I assume the * sign is multiplication so 5x9=45

45/5=9 to find the answer also.

Hope this helps!

The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:

Percentage Change in Bond Price = - (Duration * Change in Yield)

Given:

Duration = 7.29 years

Change in Yield = -0.005 (50 basis points decrease)

Using the formula, we can calculate the percentage change in the bond's price:

Percentage Change in Bond Price = - (7.29 * (-0.005))

Percentage Change in Bond Price = 0.03645

Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

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We have the system of equations

Using substitution, we have that

Solving for x, we have that

but this is a contradiction, therefore the system of equations don't have a solution.

We also can notice this if we graph the equations.

From the graph we see that the equations do not intersect, then the system don't have a solution.

Answer:

1. 495

2. 367

3. 1835

4. 1887

5. 2627

6. 1890

7. 1929

Step-by-step explanation:

1.

Smallest number in the N column: 33

Largest number in the B column: 15

33 * 15 = 495

2.

Sum of numbers in the I column:

27 + 23 + 19 + 30 + 29 = 128

495 - 128 = 367

3.

Highest number in the O column: 72

Lowest number in the O column: 67

72 - 67 = 5

367 * 5 = 1835

4.

Average of the numbers in the G column:

(50 + 51 + 54 + 52 + 53)/5 = 52

1835 + 52 = 1887

5.

Reversed digits in answer: 1887 -> 7881

First number in B column: 11

Second number in B column: 8

11 - 8 = 3

7881/3 = 2627

6.

Sums of the numbers in I, G, and O columns:

27 + 23 + 19 + 30 + 29 + 50 + 51 + 54 + 52 + 53 + 72 + 70 + 67 + 71 + 69

= 737

2627 - 737 = 1890

7.

First number in column G: 50

First number in column B: 11

1890 + 50 = 1940

1940 - 11 = 1929

Answer:

1. can't answer, can only approximate

2. when f(x) = 2, x = -1

Step-by-step explanation:

We can't evaluate f(2)  because we don't have f(x), if we did, we would plug in 2 for x.

On the other hand, solve f(x) = 2 asks for what x is equal to when f(x) = 2, f(x) is just the value on the y axis in relationship with x (in short terms, the value on the y axis).

So looking at the graph, we cam see that when x = -1, f(x) = 2.

Answer:

w=-11

Step-by-step explanation:

Move the w on to the right side:

-4=18+2w

Move the 18 to the left side:

-22=2w

Divide by 2

w=-11

Hope this helps!

And Brainlists plz!

27  is the percentile score of 71 on this test score and 71 is the score of victor.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula.

\(R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60 th percentile.

\(R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}\)

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Answer:

4

Step-by-step explanation:

Answer:

we know that

volume of a grain silo=volume of a cylinder+volume of a hemisphere

volume of a grain silo=17000 ft³

volume of a cylinder=pi*r²*h

h=30 ft

volume of a cylinder=pi*r²*30----> 30*pi*r² ft³

volume of a hemisphere=(2/3)*pi*r³

so

17000=30*pi*r²+(2/3)*pi*r³-----> multiply by 3---> 51000=282.60*r²+6.28*r³

6.28*r³+282.60*r²-51000=0

using a graph tool

see the attached figure

the solution is  

r=11.942 ft-------> r=11.9 ft

the answer is

The radius of the silo is 11.9 ft

Work done when a 100 lb rock is lifted to height of 3 ft is 9652.215 ft-lb.

What is meant by work done?

The work done on an object is equal to the force applied to it multiplied by the distance over which the force is applied. In this case, the force applied is the weight of the rock, which is equal to the force of gravity acting on it.

The weight of an object is given by the formula:

W = mg

Where m is the mass of the object (in this case, 100 lb) and g is the acceleration due to gravity (approximately 9.8 m/s^2 or 32.17405 ft/s^2).

So the weight of the rock is:

W = (100 lb)(32.17405 ft/s^2) = 3,217.405 ft-lb

The work done on the rock is equal to the force applied (its weight) multiplied by the distance it is lifted (3 ft), so the work done is:

Work = (3,217.405 ft-lb) x (3 ft) = 9652.215 ft-lb

Therefore, the work done when a 100 lb rock is lifted to a height of 3 ft is 9652.215 ft-lb.

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