While driving through California, you stop in at a little restaurant in a small town. The meal for your family was $48.00. The town has a 7.5% sales tax rate. You also want to leave a 20% tip.

Answer:

acute angle

Step-by-step explanation:

Answer:

Acute Angle!

Step-by-step explanation:

Picture in 1st answer! <3

The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

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The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

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

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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The 10th term of the geometric sequence is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

Using the mth term as the reference, we have that:

\(a_n = a_mq^{n-m}\)

Hence:

\(a_5 = a_3q^2\)

\(q = \sqrt{\frac{a_5}{a_3}}\)

And then the 10th term is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

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The exact average value of \(y = x^4\) on [1,2] is 31/5, and the decimal approximation is 6.200.

To find the average value of a function f(x) on an interval [a,b], we use the formula:

Average Value = (1/(b-a)) * ∫(a to b) f(x) dx

Using this formula, we can find the average values of the given functions on the interval [1,2]:

y = x

Average Value =\((1/(2-1)) * ∫(1 to 2) x dx= ∫(1 to 2) x dx= [x^2/2] from 1 to 2= (2^2/2) - (1^2/2)\)

= 3/2

Therefore, the exact average value of y = x on [1,2] is 3/2, and the decimal approximation is 1.500.

\(y = x^2\)

Average Value =\((1/(2-1)) * ∫(1 to 2) x^2 dx\)

\(= ∫(1 to 2) x^2 dx= [x^3/3] from 1 to 2= (2^3/3) - (1^3/3)\)

= 7/3

Therefore, the exact average value of\(y = x^2\) on [1,2] is 7/3, and the decimal approximation is 2.333.

y = x^3

Average Value = \((1/(2-1)) * ∫(1 to 2) x^3 dx\)

\(= ∫(1 to 2) x^3 dx= [x^4/4] from 1 to 2= (2^4/4) - (1^4/4)\)

= 15/4

Therefore, the exact average value of\(y = x^3\) on [1,2] is 15/4, and the decimal approximation is 3.750.

\(y = x^4\)

Average Value =\((1/(2-1)) * ∫(1 to 2) x^4 dx\)

\(= ∫(1 to 2) x^4 dx= [x^5/5] from 1 to 2= (2^5/5) - (1^5/5)\)

= 31/5

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Triangle 1

A = 64

B = 51

C = ?

C = 180 - 64 -51

C = 65

Triangle 2

F = 65

D = 64

E ?

E = 180- 65 -64

E = 51

Procedure

Yes they are similar

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

If it travels at 186,000 miles per second, about how many miles does a ray of light travel in 3 hours?​

we know that

1 hour =3,600 seconds

so

186,000 miles/sec=186,000 (3,600)=669,600,000 miles/ hour

Multiply by 3

distance=669,600,000 miles/ hour*3=2,008,800,000 miles

Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.

To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.

The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.

To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).

Payback Period = Cost of Education / Annual Increase in Earning Potential

Payback Period = $36,000 / $18,262

The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.

If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.

In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

f(6) = 28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 2

f(6) is x = 6

Step 2: Evaluate

=========================================================

Explanation:

Everywhere you see an x, replace it with 6

f(x) = 5x - 2

f(6) = 5*6 - 2

f(6) = 30 - 2

f(6) = 28

Remember that 5x is the same as 5*x or "5 times x". So that's why 5x turned into 5*6 after replacing x with 6. After every x is replaced, you follow the order of operations PEMDAS to simplify.

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4

On solving the prοvided question, we can say that 4.75 miles were ran on day four.

A mathematical equation is a formula that jοins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equatiοn in algebra.

Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences οn either side of a letter is described by a mathematical formula. Often, there is only οne variable, which alsο serves as the symbol. for instance, 2x – 4 = 2.

On day one, Justin ran two miles.

He ran two miles on the second day, or 75% of it. Divide by 100 and multiply by 75 to get the percentage of two miles that is 75%.

On the secοnd day, I ran 1.5 miles, or 2 / 100, or 0.02 x 75. (I've run 3.5 miles so far)

He ran 1.5 miles further on the third day than the previous one:

1.5 + 1.5 = 3 (6.5 miles jogged sο far) (6.5 miles jogged so far)

The total number of miles run was 9.25, thus tο find the solution, we must subtract 6.5 from 9.25.

4.75 miles were ran οn day four, or 9.25 minus 6.5.

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Answer:

Step-by-step explanation:

When a number is taken by the square root, it will always come out positive. Looking at |x| = 5, there are two solutions for this that being 5 and -5.

|5| = 5

|-5| = 5

So if we plug those solutions into the expression x + 7, we get two different answers.

5 + 7 = 12

-5 + 7 = 2

Answer:

Yes, because one of the dogs may be older and not have a good sense of smell. On the other hand if you let the dogs decide on which path to take you will easily know which path to take. If they disagree on which path to take then follow the younger or more trustworthy dog as they will lead you on the correct path.

Step-by-step explanation:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

60 cans

Step-by-step explanation:

96 divided by 16 is 6

10 time 6 is 60

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Answer:

Step-by-step explanation:

The given relationships allow us to write a system of equations in the speeds of the wind and plane.

Let w and p represent the speeds of the wind and the plane, respectively. We know speed is the ratio of distance to time, so ...

  p -w = 6300 km/(7 h) = 900 km/h

  p +w = 8400 km/(6 h) = 1400 km/h

__

Adding these two equations gives ...

  2p = 2300 km/h

  p = 1150 km/h . . . . . . divide by 2

Subtracting the first equation from the second gives ...

  2w = 500 km/h

  w = 250 km/h

The speed of the plane in still air is 1150 km per hour; the speed of the wind is 250 km per hour.

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

32 notebooks will fit.

Step-by-step explanation:

Answer:

58.5

Step-by-step explanation:

9 + 33 + 16.5 = 58.5

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You're welcome!

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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Answer: 9e

Step-by-step explanation:

Answer:

L = 9

Step-by-step explanation:

6x8=48

432÷48=9

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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