area of a composite figure​

Well.

Step-by-step explanation:

For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.

Step-by-step explanation:

You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah

Answer:

1/5 times as much

Step-by-step explanation:

When you dilate and it decrease by a factor of 5, you are essentially dividing by 5. 1/5 x a number is the same as a number/5.

Answer:

 1.75 ton·miles = 18,480,000 ft·lb

Step-by-step explanation:

You want to know the work done by a freight train locomotive as it pulls cars with a force of 7 tons over a distance of 1/4 mile.

Work is the product of force and distance:

  W = Fd

  W = (7 t)(1/4 mi) = 7/4 t·mi

In foot·pounds, this is ...

  1.75 t·m × 2000 lb/t × 5280 ft/mi = 18,480,000 ft·lb

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Simplified results are after substitute the f(x, y) = 2x - y + 5 : (a) 3 (b) 3 (c) -15 (d) 11-y (e) 2x + 1 (f) 14

a) To evaluate f(0,2), we simply substitute x = 0 and y = 2 into the expression for f(x,y):
f(0,2) = 2(0) - 2 + 5 = 3
So, f(0,2) simplifies to 3.
b) To evaluate f(-1,0), we substitute x = -1 and y = 0:
f(-1,0) = 2(-1) - 0 + 5 = 3
So, f(-1,0) simplifies to 3 as well.
c) To evaluate f(5,30), we substitute x = 5 and y = 30:
f(5,30) = 2(5) - 30 + 5 = -15
So, f(5,30) simplifies to -15.
d) To evaluate f(3,y), we substitute x = 3 and leave y as y:
f(3,y) = 2(3) - y + 5 = 11 - y
So, f(3,y) simplifies to 11 - y.
e) To evaluate f(x,4), we substitute y = 4 and leave x as x:
f(x,4) = 2x - 4 + 5 = 2x + 1
So, f(x,4) simplifies to 2x + 1.
f) To evaluate f(5,1), we substitute x = 5 and y = 1:
f(5,1) = 2(5) - 1 + 5 = 14
So, f(5,1) simplifies to 14.

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(a) The IQ value representing the 13th percentile is approximately 91.9.

(b) The IQ value representing the 96th percentile is approximately 121.

(c) The interquartile range of the IQs is approximately 16.4.

To answer your questions, let's first clarify the terminology. The term "1Q" typically refers to the first quartile, which represents the 25th percentile, not the 13th percentile.

However, I'll provide you with the calculations for both the 13th percentile and the 25th percentile, as well as the 96th percentile.

Additionally, the "IQR" (interquartile range) is the range between the first quartile (25th percentile) and the third quartile (75th percentile).

Given a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 12 (i.e., N(100, 12)), here are the calculations:

a) 13th Percentile (1Q, which corresponds to the 25th percentile):

To find the 13th percentile, we can use the cumulative distribution function (CDF) of the normal distribution. We want to find the IQ value (x) such that P(X ≤ x) = 0.13.

Using a statistical calculator or software, we can determine that the z-score corresponding to the 13th percentile is approximately -0.675. The z-score is calculated as (x - μ) / σ.

Now, we can solve for x:

-0.675 = (x - 100) / 12

Rearranging the equation:

x - 100 = -0.675 * 12

x - 100 = -8.1

x ≈ 91.9

Therefore, the IQ value representing the 13th percentile is approximately 91.9.

b) 96th Percentile:

To find the 96th percentile, we want to determine the IQ value (x) such that P(X ≤ x) = 0.96.

Using a statistical calculator or software, we find that the z-score corresponding to the 96th percentile is approximately 1.75.

Now, we can solve for x:

1.75 = (x - 100) / 12

Rearranging the equation:

x - 100 = 1.75 * 12

x - 100 = 21

x ≈ 121

Therefore, the IQ value representing the 96th percentile is approximately 121.

c) Interquartile Range (IQR):

The interquartile range is the range between the first quartile (25th percentile) and the third quartile (75th percentile).

To find the third quartile (Q3), we can use the properties of the normal distribution. Q3 is symmetric to the first quartile (Q1) about the mean. So, Q3 = 2 * μ - Q1.

Q1:

Using the z-score from part (a), we have:

Q1 = μ + z * σ

= 100 + (-0.675) * 12

≈ 91.8

Q3:

Q3 = 2 * μ - Q1

= 2 * 100 - 91.8

= 108.2

Finally, the interquartile range (IQR) is given by:

IQR = Q3 - Q1

= 108.2 - 91.8

≈ 16.4

Therefore, the interquartile range of the IQs is approximately 16.4.

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Answer:

Ans:

Step-by-step explanation:

Let, the required number=n

Then, That number is actually n(n-1)

For e.g 8(8-1)=56 divided by 8=7

You Understood it.

Answer: x =-2/9

Explanation:

The expression we have is:

Step 1. Multiply both sides by 5/2

this is so that in the left side 5/2 x 2/5 would cancel each other:

Step 2: Solve the multiplication in the right side

As we can see we are left with an expression that can be solved for x.

Step 3: Move all of the terms that contain x to the left side, and all of the numbers to the right side:

Step 4: Combine like terms

Step 5: Divide both sides by -9:

Answer: x =-2/9

Given sequence is geometric sequence and common ratio between consecutive term is

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence, 16, 8, 4, ...

Since, common difference = 8 - 16 ≠ 4 - 8 , this is not arithmetic sequence.

Common ratio = T2/T1 = T3/T2 = 8/16 = 4/8 = 1/2 Because common ratio is are equal. Thus, given sequence is geometric sequence.

Hence the sequence is a geometric sequence and the common ratio = 1/2

The answer is 48π units³ or 150.72 units³.

To find the volume of the cone, use the formula : 1/3 × πr²h

We are given that r = 6 and h = 4.

Solving :

The formula for the sample size in a normally distributed population can be used to calculate the minimal sample size, which is 38416.

Given,

Sample size formula;

n = ((z × σ) / E)²

When z is the crucial z-value, E is the margin of error, and σ is the standard deviation.

Now change the known values in the formula above.

n = ((1.96 × 0.01) / 0.0001)²

n = 38416

Therefore,

The minimum sample size for the distribution is 38416.

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The value of the triple integral is 21π/8.

To evaluate the triple integral, we use spherical coordinates since we are dealing with a ball. The bounds for the radius r are 0 to 9, the bounds for the polar angle θ are 0 to 2π, and the bounds for the polar angle φ are arccos(4.5/9) to π. Substituting these bounds into the integral expression, we integrate the function

\(f(x, y, z) = z(x^2 + y^2 + z^2)^(-3/2)\)

over the given region. After performing the calculations, the value of the triple integral is found to be 21π/8, representing the volume under the function over the specified region of the ball.

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Answer:

x = 2/3 ± i√14/3

Step-by-step explanation:

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Answer:

poopy

Step-by-step explanation:

Tee Hee

Answer:

a, 30 minutes

Step-by-step explanation:

108 divided by 20 is 54

162 divided by 54 is 30

Answer:

∠1 = 66°

∠2 = 24°

∠3 = 24°

∠4 = 90°

Step-by-step explanation:

∠1 = 90 - 24 = 66°

∠2 = 24°

∠3 = 24° because segment DB bisects ∠ABC

∠4 = 90° because it is a right angle

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

A = 6.4

Step-by-step explanation:

A - 5.36 = 1.04

    +5.36   +5.36

A = 6.4

Answer:

Formula for g(x) is \(g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6\)

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

                         = (9 - 3)/ 2

                         = 6/2 = 3

⇒A = 3

Now,

Period = \(\frac{2\pi }{B}\)

⇒B = (2π) / Period

      = (2π) / 10

      = π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

      = \(3 sin(\frac{\pi }{5}(x -(- 1))) + 6\)

⇒\(g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6\)

∴ we get

Formula for g(x) is \(g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6\)

1. 5.66% of 843 66 843 is $47,753.56 and 6.46% of 388 6 is $250.73.
2. Marla will pay $5.95 in taxes for the dress she wants to buy.

For the first question, we can use the formula:
Percentage × Base = Amount

To find the answer to the first part of the question, we can do the following:
5.66% × 84366 = 47,753.56
Therefore, 5.66% of 843 66 843 is $47,753.56.

To find the answer to the second part of the question, we can do the following:
6.46% × 3886 = 250.73
Therefore, 6.46% of 388 6 is $250.73.

For the second question, we can use the formula:
Amount × Rate = Tax
To find the amount of tax that Marla will pay, we can do the following:
85.00 × 0.07 = 5.95
Therefore, Marla will pay $5.95 in taxes for the dress she wants to buy.

In summary, the answers to the given questions are:
1. 5.66% of 843 66 843 is $47,753.56 and 6.46% of 388 6 is $250.73.
2. Marla will pay $5.95 in taxes for the dress she wants to buy.

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Answer:

1quarts = 4cups

12quarts = 48cups

20guests each get 2 cups =40cups

48-40=8

8cups =2quarts

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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The meaning of each statement is shown below.

Step-by-step explanation:

Assume that the given statements are

(a) c(0)=0

(b) c(3)=c(8)

(c) c(n)=29

(d) c(13)<c(12)

Let c(t) be the number of customers in a restaurant t hours after 8 A.M.

We need to find the meaning of each given statement.

(a) c(0)=0 means the number of customers 0 hours after 8 A.M (i.e., 8 A.M.) is 0.

(b) c(3)=c(8) means the number of customers 3 hours after 8 A.M (i.e., 11 A.M.) is equal to the number of customers 8 hours after 8 A.M (i.e., 4 P.M.).

(c) c(n)=29 means the number of customers n hours after 8 A.M is 29.

(d) c(13)<c(12) means the number of customers 13 hours after 8 A.M (i.e., 9 P.M.) is less than the number of customers 12 hours after 8 A.M (i.e., 8 P.M.)

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The compound inequality which can be used to represent times that he could go to the doctor is 8 am ≤ x ≤ 6 pm

Time the doctor open = 8:00 a.m. and 6:00 p.m

Time Ale can visit the doctor = x

8 am ≤ x ≤ 6 pm

This means Ale can visit the doctor on or before 8 am and lest than equal to 6 pm

Therefore, the compound inequality which can be used to represent times that he could go to the doctor is 8 am ≤ x ≤ 6 pm

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Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

Answer:

-8x^3 + 9x^2 - 28 (Last choice)

Step-by-step explanation:

The question is asking what f(x) - g(x) is.

Use the given equations and add/subtract like-terms,

-8x^3 +20x^2 - 5 - 11x^2 -23 = The solution above

Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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