Natalie was out at a restaurant for dinner when the bill came. Her dinner came to $29. After adding in a tip, before tax, she paid $34.22. Find the percent tip.

Surface Area of a cuboid = 2(lb+bh+hl)

= 2[(9×6)+(6×8)+(8×9)] = 348 in²

hence, option B is right ...

Hope u got what u were looking for :D

2/5 get dumps out of the box from 4 and 7/10 pounds of candy then weight of the candy left in the box  is 2 and \(\frac{41}{50}\) pounds.

As given,

Total weight of the candy =  4 and 7/10 pounds =  \(\frac{47}{10\\}\) pounds

pound is the  imperial unit of weight generally written as lb.

one pound = 0.4535 kilograms = 453.5 gm.

\(\frac{2}{5}\) th of candy is dumps out of the box.

1- \(\frac{2}{5}\) = \(\frac{3}{5}\) th of the total candy is left in the box.

weight of the candy left in the box = \(\frac{3}{5}\) * \(\frac{47}{10}\) = \(\frac{141}{50}\) pounds.

now 141= 50*2 + 41

\(\frac{141}{50}\) pound = 2 and \(\frac{41}{50}\) pounds

Hence, weight of the candy left in the box= 2 and \(\frac{41}{50}\) pounds.

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Answer:

Vertical shift up 2, horizontal shift left 2 reflection over x-axis then reflection over the y-axis.

Step-by-step explanation:

Answer:

your cheating

Step-by-step explanation:

stopppp

Answer:

Tower B is 562 feet

Step-by-step explanation:

First, subtract 870 from 1994 because it says that Tower A is taller than Tower B by 870. After subtracting, the answer is 1124. Because it is taller than tower B by 870, you need to divide 1124 by 2, which equals 562.

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Houses can be either domed or octagonal: True

Answer:

624

Step-by-step

480+(480(30%))

=624

Answer:

162

30/100 * 480

3/10 * 480

3/1 * 48

3 * 48

162

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

Rewrite the expression using the negative exponent rule

rule b^-1 = 1/bn

1/2+x

Step-by-step explanation:

this is the correct answer you want.

The solution to the given system of linear equations is (6, 2).

The given system of linear equations are 3x-2y=14 and 5x+y=32.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, 3x-2y=14 --------(I) and 5x+y=32 --------(II)

Multiply 2 to the given equation (II), we get

10x+2y=64 --------(III)

Add equation (II) and (III), we get

3x-2y+10x+2y=14+64

⇒ 13x=78

⇒ x=6

Substitute x=6 in equation (I), we get

3(6)-2y=14

⇒ 18-2y=14

⇒ -2y=-4

⇒ y=2

So, (x, y)=(6, 2)

Therefore, the solution to the given system of linear equations is (6, 2).

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Adding the negative value in front of x flips the graph lacrosse the Y axis and compressed it vertically.

The answer is C.

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

Answer:

A rise in 13.0%

Step-by-step explanation:

10*9*4.6=414

414-360=54

54/414~~13.0%

Answer:

Step-by-step explanation:

Exact volume is:

The difference between real and estimate is the error:

Percent error is:

Answer:

The base is: \(3 \sqrt[3]{4}\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{4}(\sqrt[3]{108})^x\)

Required

The base

Expand 108

\(f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x\)

Rewrite the exponent as:

\(f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x\)

Expand

\(f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x\)

\(f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x\)

Rewrite as:

\(f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x\)

An exponential function has the following form:

\(f(x)=ab^x\)

Where

\(b \to base\)

By comparison:

\(b =3 \sqrt[3]{4}\)

So, the base is: \(3 \sqrt[3]{4}\)

Answer:

Approximately 201 squared inches.

Step-by-step explanation:

So, the composite figure is made up of a square and a semi-circle. The square has side lengths of 12 and the semi-circle has a radius of 6.

The total area of the figure would be the area of the square plus the area of the semi-circle. Thus, find the area of each individual figure.

Square:

The area of a square is given by:

\(A=l^2\)

Where l is the side length.

Substitute 12 for l:

\(A=(12)^2\\A=144\text{ in}^2\)

So the square is 144 square inches.

Semi-circle:

The area of a semi-circle is given by:

\(A=\frac{1}{2}\pi r^2\)

Substitute 6 for r and 3.14 for π:

\(A=\frac{1}{2}(3.14)(6)^2\\ A=56.52\)

Therefore, the total area is:

\(TA=144+56.52\\TA=200.52\text{ in}^2\approx201\text{ in}^2\)

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

Answer:

\(\boxed {\sf x= {{ - 4\pm \sqrt{22} }}}\)

Step-by-step explanation:

The quadratic equation is used to find the roots of a quadratic. The formula is:

\(x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}\)

when  \({ax^2 + bx + c = 0}\)

We are given the quadratic: \(x^2+8x-6=0\)

If we compare the given quadratic to the standard form of a quadratic, then:

\(a= 1\\b=8 \\c= -6\)

Substitute the values into the formula.

\(x = \frac{{ - 8\pm \sqrt {8^2 - 4(1)(-6)} }}{{2(1)}}\)

Solve inside the radical first.

Solve the exponent.

\(x = \frac{{ - 8\pm \sqrt {64 - 4(1)(-6)} }}{{2(1)}}\)

Multiply 4, 1, and -6.

\(x = \frac{{ - 8\pm \sqrt {64 - -24}}}{{2(1)}}\)

Add 64 and 24 (2 negative signs become a positive)

\(x = \frac{{ - 8\pm \sqrt {88}}}{{2(1)}}\)

Solve the denominator.

\(x = \frac{{ - 8\pm \sqrt {88}}}{{2}}\)

The radical can be simplified. 88 is divisible by a perfect square: 4

\(x= \frac{{ - 8\pm \sqrt {4}\sqrt{22} }}{{2}}\)

Take the square root of 4.

\(x= \frac{{ - 8\pm 2\sqrt{22} }}{{2}}\)

Divide by 2.

\(x= {{ - 4\pm \sqrt{22} }}\)

The roots are: x=0.690416  and x=−8.69042

Answer:

85

Step-by-step explanation:

So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.

That is exactly what I though.

But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.

So, to find the angle of the trainge, lets take our 155 degree line.

Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:

180-155=missing angle

=

25. So we know that the smallest angle of the traingle is 25.

We also know that a traingle has a total of 180 degrees.

We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:

60+25

=

85

Now subtract it from 180:

180-85

=

95

So that last angle of the traingle is 95.

Now, we need to solve the missing angle of the line that will give us the answer.

Again, we know the line has to be 180, so lets subtract 95 from that:

180-95

=

85

So we know that the missing angle answer is 85!

I hope this isnt too confusing and helps! :)

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

\(X(t) = X(0)e^{rt}\)

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that \(X(14) = 0.5X(0)\)

So

\(X(t) = X(0)e^{rt}\)

\(0.5X(0) = X(0)e^{14r}\)

\(e^{14r} = 0.5\)

\(\ln{e^{14r}} = \ln{0.5}\)

\(14r = \ln{0.5}\)

\(r = \frac{\ln{0.5}}{14}\)

\(r = -0.0495\)

So

\(X(t) = X(0)e^{-0.0495t}\)

There are 680 grams of element X

This means that \(X(0) = 680\)

\(X(t) = X(0)e^{-0.0495t}\)

\(X(t) = 680e^{-0.0495t}\)

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

\(X(t) = 680e^{-0.0495t}\)

\(17 = 680e^{-0.0495t}\)

\(e^{-0.0495t} = \frac{17}{680}\)

\(e^{-0.0495t} = 0.025\)

\(\ln{e^{-0.0495t}} = \ln{0.025}\)

\(-0.0495t = \ln{0.025}\)

\(0.0495t = -\ln{0.025}\)

\(t = -\frac{\ln{0.025}}{0.0495}\)

\(t = 74.5\)

It would take 74.5 minutes for the element to decay 17 grams.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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angelas car leaked=6ounces

angeales car leaked in 9days = 6×9=54

Answer: 6

Step-by-step explanation:

(41--1)/ (8-1)  = 42/7 = 6

Answer:

6

Step-by-step explanation:

I learned this before

The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.

The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.

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Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Answer:

605

Step-by-step explanation:

11x55=605

Answer:

it would be within the range of $0.77 <x< $0.78

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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-8 < x - 1 < 5

x - 1 > -8

x > -8 + 1

x > -7

x - 1 < 5

x < 5 + 1

x < 6

-7 < x < 6

Answer: A

Answer:

A

Step-by-step explanation:

-8 < x - 1 < 5       Add 1 on all sides.

-7 < x < 6