What is the product of (c+8) and (c-5)

Answer:

We know that:

If A is an even integer number, then A + 1 is an odd number

If B is an odd number, then B + 1 is an even number.

We also know that the product of two odd numbers is odd, and the product of two even numbers is even.

We want to prove that:

For all integers n, n^2 + n + 1 is odd.

We have two cases.

If n is even, then:

n^2  is the product of two even numbers, so is even.

n^2 + n is the sum of two even numbers, then it is even.

And:

(n^2 + n) + 1  is an even number plus one, so it is odd.

Now let's assume that n is odd.

n^2 is the product of two odd numbers, then n^2 is odd.

n^2 + n is the sum of two odd numbers, then it is even.

And similar as the previous case:

(n^2 + n) + 1 is an even number plus one, so it is odd.

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of 3 years

This means that [tex]\sigma = 3[/tex]

Sample of 18 voters

This means that [tex]n = 18[/tex]

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{3}{\sqrt{18}}[/tex]

[tex]M = 1.39[/tex]

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

Answer:

I believe the answer to this question is (4,1)

Answer:

adjacent anf o vertical

Step-by-step explanation:

Answer:

F(x) =2x+3

Step-by-step explanation:

F(x) =2x+3...............

Answer:

[tex]consider : (0, 3) \: and \: (1, 5) \\ gradient = \frac{5 - 3}{1 - 0} \\ = 2 \\ from : \: y = mx + c \\ consider \: (0, 3) \\ 3 = (2 \times 0) + c \\ c = 3 \\ therefore \: equation \: is : \\ y = 2x + 3[/tex]

Answer:

1.25 gallons of orange juice needed

Step-by-step explanation:

2(3/4)=3/2 cups per 1 person

24 x 3/2=36 cups for everyone

36 cups=18 pints

18-8=10 pints of orange juice

10 pints = 1.25 gallon

Answer:

1.25 gallons of orange juice

Step-by-step explanation:

24x2=48

3/4x48=36

36 cups into pints is 18 pints

18-8=10

10 pints into gallons is 1.25 gallons

׳+9x²+24×+16 ...............

Answer:

The sales tax for the refrigerator would be $31.53

Hope this helps!

Brainliest??

Answer:

Sales for refrigerator in dollar and cents is $31.53.

Step-by-step explanation

6/100 X $525.50 =

0.6 X $525.50 = $31.53.

Answer:

y = 500x + 1000

Step-by-step explanation:

The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

Using the coordinate points (0, 1000) and (6, 4000)

Slope = y2-y1/x2-x1

Slope  = 4000 - 1000/6-0

Slope m = 3000/6

Slope m = 500

Since the line cut the y axis at y = 1000, hence the intercept b = 1000

Get the required equation;

Reall that y = mx+b

y = 500x + 1000

Answer:

Area of a circle= π r square

22/7 × 6 ×6

22/7×36

= 792/7

=113.40

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5

Answer:

Step-by-step explanation:

Required equations are:

Since d is same for both, we substitute d and solve for x:

They will be at same distance after 3 minutes

Time be x distance be y

Solve for x

Answer:

D. (-2, -11)

Step-by-step explanation:

Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".

And out of all the options, D is the only one that works.

Answer:

B. 346 cm3

Step-by-step explanation:

I took the quiz and got it right.

Answer:

B

Step-by-step explanation:

Answer:

A) - 0.8 Ibs

B) There isn't enough information

    The standard deviations of the difference scores is needed

Step-by-step explanation:

N = 110 female first year college students

Mean weight at beginning of study = 130.6 Ib

Mean weight after six ( 6 ) months = 131.4 Ib

standard deviation = 20 pounds

A) Determine the change in the mean weight over the six(6) months period

mean weight at beginning - mean weight after six(6) months

= 130.6 - 131.4

= -0.8 Ibs

B) Determine if there is sufficient information to find a confidence interval

There isn't sufficient information to determine the confidence interval but in other to determine the confidence interval or conduct an estimate You need standard deviations of the difference scores to calculate the standard error of mean

Answer:

9

Step-by-step explanation:

you can always use guess-and-check:

124 seems rather high

(6)P(2) = 6!/4! = 6x5 ≠ 72

(9)P(2) = 9!/7! = 9x8 = 72

Answer:

i think the value of n is 12

Answer:

650,000 cm²

Step-by-step explanation:

10x6.5=65 METERS squared.  They want it in CENTIMETERS squared.

65m² = 650,000cm²

Answer:

32.5[tex]m^{2}[/tex]

Step-by-step explanation:

The coloured triangle with the blank triangle area =

(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]

The blank triangle area =

[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]

Therefore:

The coloured triangle area =

(45.5 - 13)[tex]m^{2}[/tex]

=32.5[tex]m^{2}[/tex]

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

[tex]3\cdot x + 14[/tex]

Long leg

[tex]3\cdot x + 13[/tex]

Short leg

[tex]x[/tex]

By the Pythagoric Theorem, we have the following expression:

[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)

[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]

[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]

[tex]x^{2} -6\cdot x -27 = 0[/tex]

[tex](x-9)\cdot (x+3) = 0[/tex]

As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Answer:

Small-6

Large-2

Step-by-step explanation:

small-$8

large-$16

$8×6=$48

$80-$48=$32

32÷16=2(large)

Answer:

Option D

Step-by-step explanation:

[tex]60+45+75=180[/tex]

[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]

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

hope it helps...

have a great day!!

Answer:

D will be your answer!!

Step-by-step explanation:

hope it helps

9514 1404 393

Answer:

  (c)  (0, 6)

Step-by-step explanation:

Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.

__

Comments on the other answer choices

Curly braces are usually used as delimiters of a set, not an ordered pair.

Three items do not constitute a "pair." Rather, they are a "triple."

Items without any particular indicator of grouping are usually not considered a "pair."

Answer:

Ab^2 = CA^2 + BC^2

8^2 = 6^2 + a^2

64 = 36 + a^2

64-36 = a^2

28 = a^2

square root of 28 = square root of a^2

5 ,29 = a

5 = a

Answer: the answer is W (-7, -2)

Step-by-step explanation:

Answer:

r=4.5, d=9

Step-by-step explanation:

So, lets go over two things.

#1 - What is Diamater?

Diamater is the distance from one side of a circle to the other.

#2 - What is radius?

Radius is the distance from any side of the circle, to the middle. This is half of the diamater.

In this case, the distance from one side of the circle to the other is 9in.

So the diamater must be 9.

d=9 in

Since we know the radius is half of the diamater, radius is:

9/2

=

4.5 in

So our radius must be 4.5.

r=4.5

This looks like the top answer.

Hope this helps! :D

Answer:

x > [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(9-x)}{3+1}<11[/tex]

Add 3 and 1 to get 4.

[tex]\frac{5(9-x)}{4}<11[/tex]

Use the distributive property to multiply 5 by 9−x.

[tex]\frac{45-5x}{4}<11[/tex]

Subtract  45/5 from both sides.

[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

[tex]x>\frac{-(-4)}{4 x 5}[/tex]

[tex]x>\frac{1}{5}[/tex]

Answer:

b. (4×12)+(3×7)

48+21= 69

she spent $69

Answer:

m<A = 98.25

m<B = 81.75

m<C = 113

m<D = 113

m<E = 67

Step-by-step explanation:

3x + 12 + 5x - 18 = 180

8x - 6 = 180

8x = 186

x = 23.25

3x + 12

3(23.25) + 12

81.75

5x - 18

5(23.25) - 18

98.25

6y - 5 + 10y - 7 = 180

16y - 12 = 180

16y = 192

y = 12

6y - 5

6(12) - 5

67

10y - 7

10(12) - 7

113