Mario drew an isosceles triangle and named it triangle PQR. Mario measured the perimeter and found that it was 21 inches. If the length of side PQ is 5 inches, what are the possible lengths of the other two sides? A. 5 in. and 11 in. B. 6 in. and 10 in. C. 8 in. and 8 in. D. 8 in. and 11 in. E. 10 in. and 10 in. please help.

The value of variables are,

1) h = - 3

2) r = 2

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We know that;

Diagonals of a parallelogram are equal to each other.

In figure 1;

We can formulate;

⇒ 2h + 2 = 2h + (h + 5)

⇒ 2h + 2 = 2h + h + 5

⇒ 2h + 2 = 3h + 5

⇒ 2 - 5 = 3h - 2h

⇒ - 3 = h

⇒ h = - 3

In figure 2;

We can formulate;

⇒ 5r + 5r = (5r - 2) + (4r + 4)

⇒ 10r = 5r - 2 + 4r + 4

⇒ 10r = 9r + 2

⇒ 10r - 9r =  2

⇒ r =  2

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

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i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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A=5 and 0=5A is there answer

Answer:

96 square feet

Answer:112

Step-by-step explanation:

I did it and we doing the same test rn haha. What did you get for the grant one?

Answers:

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

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

---------------

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

Answer:

The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

E on multiple choice

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

cube has 6 square faces so 6*s*s

s =3 in =3*2.54 cm = 7.62 cm

1 in = 2.54 cm

1 cube needs 6*7.62² = 348.3864 cm²

10 cubes = 10*348.3864 =3483.864 cm²

Divide the cost for 4 nights by 4 to get cost per night.

260/4 = 65 per night.

Multiply cost per night by 7:

65 x 7 = 455

It would cost $455 for 7 nights.

Answer:

64

Step-by-step explanation:

ˣ= 8

Since x² it means you have to multiply

8 two times

8 x 8= 64

Answer:

Step-by-step explanation:

First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region

Area of Circle

Here, r=radius

area of circle= π×r²

                     = π × 5²     (radius=half of diameter)

                     = 25π

                     = 78.54cm²

Area of Triangle

Here, b=base, h=height

area of triangle = \(\frac{1}{2\\}\)×b×h

                          = \(\frac{1}{2}\)×8×6

                          = 24cm²

Area of shaded region= area of circle - area of triangle

                                     = 78.54 - 24

                                     = 54.54

                                     ≈ 54.5cm² [Ans]

Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Match the description with the step accordingly:

How many times larger is 2 × 10⁻² then 3 × 10⁻⁶: Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents.

Difference between 2 × 10⁻² and 3× 10⁻⁶: Subtract by getting the same exponent to be like terms.

400 times 2 × 10³: Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form.

To find How many times larger is 2 × 10⁻² then 3 × 10⁻⁶. Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents. That is:

(3 × 10⁻⁶)/(2 × 10⁻²) = 3/2 × 10⁻⁶⁻⁽⁻²⁾ = 1.5×10⁻⁴

To find the difference between 2 × 10⁻² and 3× 10⁻⁶. Subtract by getting the same exponent to be like terms. That is:

2×10⁻² - 3×10⁻⁶ = (2 × 10⁻²) - (0.0003× 10⁻²)

                           = (2 - 0.0003) × 10⁻²

                           = (2 - 0.0003) × 10⁻²

                           = 1.9997× 10⁻²

For 400 times 2 × 10³. Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents. That is:

400 × 2 × 10³ = 4 × 10² × 2 × 10³

                     = 4 × 2 × 10³ × 10²

                     = 4 × 2 × 10³⁺²

                     = 8 × 10⁵

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The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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Answer:

x=-9

Step-by-step explanation:

6-15=-9

Answer:

-9

Step-by-step explanation:

When you add some thing to a negative that means you are actually subtract that number

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

The quadratic function y = 4(x−7)(x+3) is re-written in standard form as

4x²- 16x - 84 = 0

The general formula for a quadratic function is expressed as;

ax² + bx + c = 0

From the information given, we have;

y = 4(x−7)(x+3)

expand the bracket, we get;

(x−7)(x+3)

x²+ 3x - 7x - 21

add or subtract the like terms

x² - 4x - 21

Multiply by 4, we have;

4(x² - 4x - 21)

4x²- 16x - 84 = 0

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Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

Answer:

1

Step-by-step explanation:

Answer:

175/48 or 3 31/48

Step-by-step explanation:

7/8 = 7/8

4 1/6 = 25/6

7/8 x 25/6 = 175/48

Answer:

Its B

Step-by-step explanation: i know this because i just took that test yesterday and got it right

Answer:

24

Step-by-step explanation:

If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

a 50% probability means 1/2 or 0.5.

that means

desired cases = 1/2 × totally possible cases

at start we have

3 red

3 white

5 blue

that makes 5 + 3 + 3 = 11 totally possible cases and 3 desired cases.

so, the starting probability to pull a white marble is

3/11.

now, we need to say

(3 + x) = 1/2 × (11 + x) (= (3+x)/(11+x) = 1/2)

to make is simpler we multiply both sides by 2 (so we get rid of the 1/2 fraction).

6 + 2x = 11 + x

6 + x = 11

x = 5

we need to add 5 white marble to give us a 50% probability to pull a white marble.

we have then

3 red

3 + 5 = 8 white

5 blue

that makes 5+8+3 = 16 totally possible cases and 8 desired cases.

so, the probability is

8/16 = 1/2

=> our calculation was correct

The number of white marbles should be added to the bag to make the probability of pulling a white marble 50% will be 5.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A bag contains 3 red marbles, 3 white marbles, and 5 blue marbles. only white marbles will be added to the bag.

Let 'x' be the number of white marble added. Then the equation is given as,

0.50 = (x + 3) / (x + 3 + 3 + 5)

Simplify the equation, then we have

0.50 = (x + 3) / (x + 3 + 3 + 5)

0.50 = (x + 3) / (x + 11)

0.50x + 5.5 = x + 3

0.50x = 2.5

x = 5

The number of white marbles should be added to the bag to make the probability of pulling a white marble 50% will be 5.

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

572.7272

572.73 (rounded)

Step-by-step explanation:

used calc

The Required Factors   (x + 1) (x - 3 ) (x + 2) (x - 2).

Given equation.
x^4 - 2x^3 - 7x^2+8x+12 = 0

Factors : factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

polynomial : an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable

Now, factorize the polynomial of degree 4 as follows.

= (x + 1) (x - 3) (x^2 - 4)

Then, again factorize polynomial of degree 2.

Therefore  (x + 1) (x - 3 ) (x + 2) (x - 2)

This is the required factors.

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