3.5 lb of cheese for $8.94
$_
per lb

The length between the two points is 9.2 units.

Given points are:

Q(1,₋5)

P(₋5,2)

Let the two points be denoted as

Q(1,₋5) as (x₁,y₁)

P(₋5,2) as (x₂,y₂)

Distance between two points is calculated as:

d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²

d =  √(₋6)² ₊ (7)²

d =  √36 ₊ 49

d =  √85

d = 9.2

Hence the length of QN is 9.2 units.

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Answer:

B

Step-by-step explanation:

The y coordinate tells us when we are going up for down.  So the rule would be (x, y + 5)  So, the x coordinate stays the same and the y goes up 5.

(1,2)  The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2)  The 2 is the y coordinate.  It will increase by 5 and become (3,7)

(3,4)  The 4 is the y coordinate.  It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate.  It will increase by 5 and become (1,9)

Part(A) Leslie's initial investment was $500 and

Part(B) The quarterly interest rate is 10.4 %

What is compound interest?

Compound interest is the interest calculated on the principal amount , which also considers all the accumulated interest of previous periods of deposit or loan.

If P is the principal amount and rate of compound interest is r  then after t years of time , the present amount (if the interest is compounded annually) will be = P(1+(r/100))^n

If the interest is compounded quarterly, then the present amount be A

Where A = [tex]P (1+\frac{r/4}{100} )^{4t}[/tex]

Given that Leslie invests in a bank that earns interest quarterly , and account balance after t years is given as 500(1.026)^(4t)

A= [tex]P (1+\frac{r/4}{100} )^{4t} = 500(1.026)^{4t\\[/tex]

Comparing both sides we get P = 500

And 1+(r/400)=1.026

(r/400)=1.026-1

(r/400)=.026

r=400(0.26) = 10.4 %

Therefore , Leslie's initial investment was $500 and the quarterly interest rate is 10.4 %

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The values a = 1/3 and b = 1/6.

Given function is, f(x) =  

                                       [tex]\frac{x^2-4}{x-2}\ \ \ if\ x < 2 \\ax^2-bx+3 \ \ \ if\ 2\leq x < 3\\2x-a+b\ \ \ if\ x\geq 3[/tex]

The interval in which the function is defined is broke down into three. They are: x<2, 2≤x<3 and x≥3.

Now the function [tex]\frac{x^2-4}{x-2}[/tex] is continuous except at x = 2. But this function is defined in the interval x>2. The other two function are defined as polynomial, so are continuous any way.

So for the whole function f(x) to  be continuous, we need to check the continuity at x = 2, x = 3.

When x = 2,  [tex]\frac{x^2-4}{x-2}[/tex] =[tex]\frac{(x+2)(x-2)}{x-2}=x+2 = 4[/tex]  and [tex]ax^2-bx+3[/tex] = 4a-2b+3

⇒  4a-2b+3 = 4

⇒4a- 2b-1 = 0, for the function to be continuous at x = 2.

When x = 3,  [tex]ax^2-bx+3[/tex] = 9a-3b+3 and 2x-a+b = 6-a+b

⇒ 9a-3b+3 = 6-a+b

⇒ 10a -2b-3 = 0, for the function to be continuous at x = 3.

On solving   4a-2b-1 = 0 and 10a -2b-3 = 0 by subtracting the two,

we get, -6a+2 = 0

⇒ a = 1/3 and therefore, b = 1/6

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In proportion , 13 ft is the actual length of a room.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

0.25 inches       8.5 inches

----------------   = --------------

 5 ft                   x ft

Using cross products

0.25x = 8.5 * 5

Divide each side by 0.25

0.25x/0.25 =  8.5  * 5/0.25

x = 13

x = 13 ft

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Answer:

11.2 or 11 1/5

Step-by-step explanation:

multiply it ez

Answer: Use a=wl, 13.3

Step-by-step explanation:

a=wl

4.75*2.8=13.

Answer: 1 and 26

Step-by-step explanation:

The monthly payment will be $1454.06048

You can calculate the Car Loan EMI Amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] , where P, R, and N are the variables. This also means that the EMI value will change, each time you change any of the three variables. Let’s discuss these three variables in detail.

‘P’ stands for the Principal Amount. It is the original loan amount given to you by the bank on which the interest will be calculated.

‘R’ stands for the Rate of Interest set by the bank.

N is the number of years given for the repayment of the loan. As you must pay the EMIs each month, the duration is calculated in the number of months.

Here , P=$50000,R=3/12/100=0.0025,N=36 Months.

EMI=[50000 x 0.0025 x (1+0.0025)^36]/[(1+0.0025)^36-1]

= $1454.06048

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The minimum and maximum allowed baseball masses are 143 grams and 147 grams

The given parameters are

Mass = 145 grams

Vary = 2 grams

This means that the allowed baseball masses are

Allowed baseball masses = Mass  ± Vary

This gives

Allowed baseball masses = (145 - 2, 145 + 2) grams

Evaluate

Allowed baseball masses = 143 grams, 147 grams

Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams

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The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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The measure of angle is 52, 128 and 132

A  figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

one angle = 52

So,

<2 = 52 (vertically opposite angle)

<1 + <2 = 180 ( linear pair)

<1 + 52 = 180

<1  = 128

and, <1 = < 3 ( vertically opposite angle)

<3 = 132

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The area of the triangle is 1200√5 cm².

Given that, the sides of the triangle are 70cm,80cm and 90cm.

We need to find the area of a triangle using Heron's formula.

As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula:

Area of triangle = √s(s-a)(s-b)(s-c), where s = Perimeter/2 = (a + b + c)/2

Now, semi perimeter = (70+80+90)/2=120

Area of triangle=√120(120-70)(120-80)(120-90)

=√120×50×40×30

=√40×3×2×25×40×30

=40×5√3×2×3×2×5

=40×5×3×2√5

=1200√5 cm²

Therefore, the area of the triangle is 1200√5 cm².

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Answer: Hi The Answer is 3 (the third one)

Step-by-step explanation: Am not sure if this is correct am taking the test right now

Answer:

all real numbers

Step-by-step explanation:

Florida

Answer:

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given:

10/3, 4, 24/5, 144/25, ...

From the above sequence we can generate the formula,

f (x) = 10/3

Also, for f(x+1) we can have

x=1,

f(1)= 10/3

f(2)= 4

So, f(x + 1) = 6/5(f(x))

Step-by-step explanation:

Answer:

26%

Step-by-step explanation:

Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders

442/1700 × 100% = 26%

Hope this helps! ^^

Answer:

3/9  3/8  3/7

Step-by-step explanation:

The higher the denominator, the higher number of times  a number will be divided which means, the number will become smaller.

The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

To assume that the population variances are not equal and that the two populations are normally distributed:

Given:

So, df = n1 + n2 - 2; 11 + 18 - 2 = 27.

T critical = T0.01, 27 = 2.473

Let,

Then,

Now,

Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

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Answer:

$2.61

Step-by-step explanation:

So, We have $5.22 for 6 pounds of Bananas.

If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3

In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100

5.22*100=522

Now we divide

522/2 = 261

Now we divide 261 by 100, since we multiplied by 100 earlier.

261/100 =2.61

So our answer is $2.61 for 3 pounds of bananas .

Hope this helps! ^^

Answer:$2.61 for 3 pounds  

Thank for the  brainliest

Step-by-step explanation:first you divided $5.22/6  because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61

Answer:

I am more on the sure side it's 8

Step-by-step explanation:

And if it isn't im so so sorry

The test statistic value calculated by the statistical procedure selected is known as the T-test.

The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.

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Answer:

x = 18

Step-by-step explanation:

Vertical angles are congruent.

4x + 3 = 75  Subtract 3 from both sides of the equation

4x = 72  Divide both sides by 4

x = 18

The rate of change of elevation is 0.32.

An easy-to-remember equation for finding change in elevation as a decimal is “rise over run,” meaning the rise (the change in vertical distance) divided by the run (the change in horizontal distance).

So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.32x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.32 is the rate of change in disregard of the value of x.

Hence, The rate of change of elevation is 0.32.

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The lowest common denominator for 4/21, 3/7, 4/9 is 63.

Lowest common denominator is the lowest number that is divisible by the denominators of the set of fractions.

Step 1:  we will write down the prime factors of all the denominators.

[tex]21=7^{1} *3^{1}[/tex]

[tex]7=7^{1}[/tex]

[tex]9=3*3=3^{2}[/tex]

Step 2 : write down highest power of each prime number.

[tex]7^{1} ,3^{2}[/tex]

Step 3 : Multiply the values

7x9=63

Therefore , The lowest common denominator for 4/21, 3/7, 4/9 is 63.

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The only set of elements that satisfied the equation 2x-1= -13 is {-6}.

A set is a combination of specific quantities in which the meaning of each variable must be the same.

For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.

Another example could be a set of whole numbers like that.

Given the equation,

2x-1= -13

By taking -1 right-hand side

2x = -13 + 1 = -12

By dividing 2

x = -6

Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".

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