Find the net price
20% discount on $365 purchase

Answer:

4

Step-by-step explanation:

Given that f(x)=x2-4/3, f(a)=7, and f(11)=b, a+b can only be a multiple of prime numbers is 5

This calculator for finding the prime factors and the factor tree of an integer is available for use.

How is a prime factor discovered?

The simplest method for determining a number's prime factors is to keep dividing the starting number by prime factors until the result equals 1. When we divide the number 30 by its prime factors, we obtain 30/2 = 15, 15/3 = 5, and 5/5 = 1. We received the balance, thus it cannot be factored any further.

Example: 36 can be written as the product of two prime factors, 22 and 32. The prime factorization of 36 is stated to equal the equation 22 32.

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Answer:

1/8

Step-by-step explanation:

(6m^-1n^0)^-3 =

= (6 × 1/3 × (-5)^0)^-3

= (6/3)^-3

= 2^-3

= 1/2^3

= 1/8

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

Solution:

To solve this problem, we will use PRT/100.

Where:

1. Converting the number of months into years.

\(\bullet \ \ 1 \ \text{year} = 12 \ \text{months}\)

\(\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}\)

\(\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}\)

\(\bullet \ \ \rightarrow x = 1.5 \ \text{years}\)

2. Using PRT/100:

\(\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}\)

\(\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}\)

\(\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}\)

\(\bullet \ \ \rightarrow \boxed{\$168.15}\)

Thus, the interest will be \(\bold{\$168.15}\).

Answer:

x = 40

Step-by-step explanation:

A triangle angles add up to 180 so we can make an equation.

x + 60 + x + 40 = 180

Now we solve for x

2x + 100 = 180

2x = 80

x = 80/2

x = 40

(Since two angles are equal this is a isosceles triangle)

Hope this helps you! :)

Please mark this answer as brainiest!

Thanks!

Answer:

To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.

In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.

So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

a)2.2360

b)4.123

c)3.641

d)8.654

Answer:

x is -1/b yw

Step-by-step explanation:

If both companies charge 7% sales tax, then I would choose Company 2.

Let, f = Total feet of the fence

For company 1:

eq : (f-1) x 25 + 2500

  =  (100 -1)25 + 2500

  =  99 x 25 = 2500

  =  4975 $

For  company 2:

Rate per foot of fence = 39$

Now if company 1 charges 7 % taxes then,

4975 x 7%

=  4975 + 348.25

=  5323.25$

and for company 2

39 x 7%

=  39 + 2.73

=  41.93 $

I would select company 2 because it has a lower cost and the tax amount for a complete fencing job.

If both companies charge 7% sales tax, then I would choose Company 2.

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Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

Answer:

Step-by-step explanation:

Answer:

f(g(x)) = 7x + 27

Step-by-step explanation:

We have, f(x) = 7x+13 and g(x) = x+2.

So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,

i.e. f(g(x)) = f(x+2)

i.e. f(g(x)) = 7 × (x+2) + 13

i.e. f(g(x)) = 7x + 14 + 13

i.e. f(g(x)) = 7x + 27

Thus, f(g(x)) = 7x + 27

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

\( V = \pi r^{2}h \)

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

\( r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in \)                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

Answer:

\(\frac{4}{3}\)hrs/house

Step-by-step explanation:

Rate is the amount of work done per unit of time;

  Let Cara's rate  = C

   Let Jena's rate  = J

        C + J  = 4  ------ i

Now;

  Working alone:

             Jena takes twice as long as Cara

                          J  = 2C  ---- i

How long does it take Cara to clean a house alone

           C + J  = 4

             J = 2C

        C + 2C = 4

           3C = 4

              C = \(\frac{4}{3}\)hrs/house

Answer:

Step-by-step explanation:12

Answer:

\(\sqrt{280}\) = 2\(\sqrt{70}\)

37^2 = 1369

33^2 =1089

1369-1089 = 280

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

We have the final answer as

Hope this helps you

The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

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Answer:

He should change 3.6 to 36

and

he should change 8.42 to 84.2

He should also move the decimal up when dividing like in the picture I posted.

Step-by-step explanation:

I other words, he should shift the decimal points to the right one

I hope that I could help!

He should also move the decimal up when dividing in the picture that is posted.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to find 8.42 divided by 3.6 longhand.

8.42 / 3.6

= 2.33

He should change 3.6 to 36 and he should change 8.42 to 84.2

He should also move the decimal up when dividing in the picture that is posted.

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Answer:

5 cars and 3 busses

Step-by-step explanation:

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The equation for w(width of rectangle) is: W = (P - 2L)/2

The correct answer is an option (c)

We know that the formula for the perimeter of the rectangle is:

P = 2L + 2W

where P is the perimeter of the rectangle,

L is the length of the rectangle,

and W is the width of the rectangle.

We need to rearrange this equation for w.

Consider equation,

P = 2L + 2W

P - 2L = 2L + 2W - 2L      ......(subtract 2L from each side of equation)

P - 2L = 2W

(P - 2L)/2 = 2W/2             .....(divide each side by 2)

W = (P - 2L)/2

Therefore, the correct answer is  W equals the quantity P minus 2 times L all over 2

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The complete question is:

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.

a) W = 2P − 2L

b) W = P/ 2-2 times L

c) W equals the quantity P minus 2 times L all over 2

d) W = 2P + 2L

Answer:

c) W equals the quantity P minus 2 times L all over 2

Step-by-step explanation:i just took the test

The solution for integrals are -1/3 (2 + cos² (x))\(^\frac{3}{2}\)  +C

If we are finding the following integral below

∫ (√2 + (cos x)² / secx × cscx) dx instead of ∫ (√(2 + cos²x)) / (secx × csc) dx

then

secx = 1/cosx and cscx = 1/sinx

∫ (√(2 + cos²x)) × sinx × cosx dx

givn that sin²x + cos²x = 1

sin²x = 1 - cos²x

u = cosx,

du = -sinx dx.

-∫ (√u) / (2sinxcosx) du.

-√u + C.

When you substitute the original equation into the result

1/3 (2 + cos²x)^(3/2) + C.

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Answer:

Step-by-step explanation:

First step is Reflection over x-axis ⇒ Δ A' B' C'

Second step is Translation 2 units to the right ⇒ Δ A" B" C"

Answer:

The function f(x) = x represents a straight line with a slope of 1, passing through the origin (0,0).

If we consider the interval from x = 2 to x = 9, we can see that the line starts at f(2) = 2 and ends at f(9) = 9.

Therefore, over the interval from x=2 to x=9, the function f(x) = x increases in a straight line fashion from 2 to 9.

In other words, the slope of the line is positive, and the function is monotonically increasing on this interval.