What property will you use to solve this equation;
19+n=30

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

\(SA(x) = x^2 + \frac{12}{x}\)

Step-by-step explanation:

Given

\(V = 3m^3\) --- volume

\(x \to base\ length\)

\(y \to height\)

Required

The surface area as a function of base length

The volume (V) is calculated as:

\(V = Base\ Area * Height\)

\(V = x*x*y\)

\(V = x^2*y\)

Make y the subject

\(y = \frac{V}{x^2}\)

Substitute 3 for V

\(y = \frac{3}{x^2}\)

The surface area of the open box is:

\(SA = x^2 + 2xy+2xy\)

\(SA = x^2 + 4xy\)

Substitute: \(y = \frac{3}{x^2}\)

\(SA = x^2 + 4x*\frac{3}{x^2}\)

\(SA = x^2 + 4*\frac{3}{x}\)

\(SA = x^2 + \frac{12}{x}\)

Hence, the function is:

\(SA(x) = x^2 + \frac{12}{x}\)

Answer:

$1.25

Step-by-step explanation:

0.35 x 8 = 2.80

7.20 + 2.80 = 10

10 divided by 8 = 1.25

Thank you :)

The equation that can be used to determine the regular price of iced tea is p  = 1/8($7.20 - $2.80).

Coupons reduce the price of an item. An item becomes cheaper when coupons are used. Thus, Nathan would buy the iced teas at a cheaper price as a result of the coupons.

Discounted price = regular price - discount

$7.20 = p - ($0.35 x8)

$7.20 = p - $2.80

p  = $7.20 - $2.80

Price of each bottle = p = 1/8( $7.20 - $2.80)

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Answer: Multiplying a large number can be easier if you break it up into its place values and perform the multiplication separately for each place value.

Step-by-step explanation:

Take the following multiplication issue, for instance:

43 x 32

The issue arises if place value is used to divide the numbers:

(4 x 3) + (3 x 2) + (3 x 3) (3 x 3)

This can be stated simply as:

12 + 6 + 9 = 27

Thus, the final response is 27.

Breaking up the multiplication problem by place value can also help you avoid making mistakes because you can check each place value separately to make sure that the calculations are correct before adding them together to get the final answer.

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

Answer:

50cm squared

Step-by-step explanation:

Imagine the width is 'a'

Then the length will be 2a as it's twice as wide as it's long.

The formula for perimeter is 2(L+W)

If we subsitute the algebra/numbers in we get

P = 2(L+W)

30 = 2(2a+a)

30 = 2(3a)

30 = 6a

5 = a

a = 5cm

Then the area is the following

A = LW

A = 2a(a)

A = (2(5))(5)

A = 10(5)

A = 50cm squared

Answer:

24,500, 6 rounds up

The index of refraction of the second material is 1.27.

We are given that;

Angle= 59°

Randomized Variables 1 = 1.47θ1 = 59°θ2 = 69°

Now,

To find n2, we can rearrange Snell’s law as:

n2 = n1 sin θ1 / sin θ2

Plugging in the given values, we get:

n2 = 1.47 sin 59° / sin 69°

n2 = 1.47 (0.857) / (0.934)

n2 = 1.27 (rounded to two decimal places)

Therefore, by the expression the answer will be 1.27

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Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

Answer:

2,4,5

Step-by-step explanation:

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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The value of x is equal to 6.

The value of y is equal to 7.

In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment DF, we have the following:

Line segment DE = Line segment EF

5x + 3 = 33

5x = 33 - 3

5x = 30

x = 6.

Since E is the midpoint of line segment GH, we have the following:

Line segment GE = Line segment EH

Line segment GH = Line segment EH + Line segment GE

7y - 4 = 24 + 3y

7y - 3y = 24 + 4

4y = 28

y = 28/4

y = 7.

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Answer:

Slope = 3/4

y-intercept = (0, 4)

Given:

We will rewrite this in its slope-intercept form by isolating y.

Our equation is now in its slope-intercept form y=mx+b, where:

m = slope

b = y-intercept

From our equation, we now know that our slope is 3/4.

The y-intercept is the value of y when x = 0, with this, since our y-intercept(b) is 4, this would mean that our y-intercept in the ordered pair is (0, 4).

Answer:

the value of the expression is 22

Step-by-step explanation:

a2 + 12 + b

- input numbers..

(-2)2 + 12 + 14

-4 + 12 + 14

8 + 14

22

final answer 22

Answer:

18 (see picture for detailed explanation)

Step-by-step explanation:

Plato/Edmentum

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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Finding the mean of a discrete distribution, the estimate for the mean time spent watching television is of 23.1 hours.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

From the frequency table, we can conclude a discrete distribution, considering the midpoint of each interval, hence:

Hence the estimate for the mean is given by:

E(X) = 5 x 0.0625 + 15 x 0.1875 + 25 x 0.625 + 35 x 0.125 = 23.1 hours.

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The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

the answer is 2 1/4 cups of oil

Step-by-step explanation:

if he wants to triple the ingredient then you would triple the numerator and than simplify your new fraction

3 times 3 is 9 = 9/4

9 divided by 4 is 2.25 = 0.25 is equal to 1/4 so it would be 2 1/4 cups of oil

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The expected return given these three economic states, their likelihoods, and the potential returns is 14.5%.

To compute the expected return given the three economic states, their likelihoods, and the potential returns, we need to multiply each potential return by its corresponding likelihood and then add up the results. This will give us the overall expected return.

Here is the formula for calculating expected return:
Expected return = (likelihood of economic state 1) x (potential return for economic state 1) + (likelihood of economic state 2) x (potential return for economic state 2) + (likelihood of economic state 3) x (potential return for economic state 3)

For example, if the likelihoods and potential returns are as follows:

Economic state 1: likelihood = 0.3, potential return = 10%
Economic state 2: likelihood = 0.5, potential return = 15%
Economic state 3: likelihood = 0.2, potential return = 20%

Then the expected return would be:
Expected return = (0.3 x 10%) + (0.5 x 15%) + (0.2 x 20%) = 3% + 7.5% + 4% = 14.5%

Therefore, the expected return given these three economic states, their likelihoods, and the potential returns is 14.5%.

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Given that,

An expression \(\dfrac{1}{4}-\dfrac{3}{5}\)

To find,

The value of above expression.

Solution,

We have,

\(\dfrac{1}{4}-\dfrac{3}{5}\)

The LCM of 4 and 5 is 20.

\(\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}\)

So, the required answer is \(\dfrac{-7}{20}\).

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0

Answer:

4999500

Step-by-step explanation:

first 5 = 5000000

second 5 = 500

difference = 5000000-500