Find the area of PQRS. (Hint: Use the Pythagorean Theorem to find the height .)

Answer:

The product of two and any nonzero integer is always an even number.

Step-by-step explanation:

Example:

2 * 17 = 34

2 * 15 = 30

2 * 30 = 60

All of these are even numbers.

The product of two and any nonzero integer is always an even integer.

"It is a natural number numbers along with zero and negatives."

Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .

"An integer which is divisible by 2."

For given example,

Let a = 2 and 'b' be any nonzero integer.

Case 1: 'b' is positive even integer

Let b = 4

⇒ a × b = 2 × 4

⇒ a × b = 8, which is an even integer.

Case 2: 'b' is negative even integer

Let b = -8

⇒ a × b = 2 × (-8)

⇒ a × b = -16, which is an even integer.

Case 3: 'b' is positive odd integer

Let, b = 9

⇒ a × b = 2 × 9

⇒ a × b = 18, which is an even integer.

Case 4: 'b' is negative odd integer

Let, b = -3

⇒ a × b = 2 × (-3)

⇒ a × b = -6, which is an even integer.

From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.

Therefore, the product of two and any nonzero integer is always an even integer.

Learn more about integers here:

https://brainly.com/question/15276410

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Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

Answer:

hope this helps

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5x-1=3x+5(opposite sides of a parallelogram is equal)

5x-3x=5+1

2x=6

x=6/2

x=3

therefore the value of x is 3

Answer:

Step-by-step explanation:

So in a parrelelagram, we know that the top and bottom side are equivelent in length.

This is the same with the left and ride side as well.

So knowing this, we can solve x by setting up this equation:

5x-1=3x+5

This works because we know both sides are equvlent, but have different x values and number values.

Lets start solving:

5x-1=3x+5

First lets move all the numbers to one side:

5x=3x+6

Now lers get the variable to one side:

2x=6

Now divide both sides to get x alone"

x=3

This is your answer!

Hope this helps!

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

Answer:

Step-by-step explanation:

Answer:

m ≥-6

Step-by-step explanation:

that is the procedure

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

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

Answer:

[tex]n=9[/tex]

Step-by-step explanation:

[tex]3n-18=9[/tex]

[tex]3n+18=[/tex] +18

[tex]3n=27[/tex]

[tex]3(9)=27[/tex]

[tex]n=9[/tex]

Answer:

8 1/2

because 3 + 5= 8+ 1/2= 8 1/2

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation:

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]

[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]

convert decimal number 853.93 to fraction 85394÷100

[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]

Do the multiplication in the fraction

[tex]\small \sf \frac{8795479}{100000} \\ [/tex]

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

Explanation:

The rule says "whatever x is, add 1 to it to get y"

So for instance, if x = 3, then y = x+1 = 3+1 = 4

Now if x = 7, then y = x+1 = 7+1 = 8

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given that,

[tex]1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 1 = 4 \\ 4 + 1 = 5...[/tex]

So from this we can infer that, [tex]\large\bold{ x + 1 = y}[/tex]

Now,

[tex]x = 7 \\ y= \: ?[/tex]

Use the rule ⎆ [tex]\large\bold{ x + 1 = y}[/tex]

[tex]x + 1 = y \\ 7 + 1 = y \\ 8 = y[/tex]

✐ The value of y is 8.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

Step-by-step explanation:

so for this one u do

[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

Answer:

B. cos 41° = [tex]\frac{x}{19}[/tex]

Step-by-step explanation:

cos of an angle is the adjacent side of the angle over the hypotenuse.

Answer:

Answer is a

[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

yes

Step-by-step explanation:

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

Answer:

8d + 6b = 55

2d + 9b = 32.50

Step-by-step explanation:

let 'd' = # dog bowls

let 'b' + # bones

Rhonda:  8d + 6b = 55

Kelly:  2d + 9b = 32.50

we can multiply Kelly's equation by -4 to eliminate the 'd' terms:

Kelly: -4(2d + 9b) = 32.5(-4)

-8d - 36b = -130

now add the above equation to Rhonda's equation:

  -8d - 36b = -130

+  8d + 6b = 55

-30b = -75

b = 2.50

now we can use either equation and substitute 2.5 for 'b' to find 'd'

2d + 9(2.5) = 32.5

2d + 22.5 = 32.5

2d = 10

d = 5

Answer:

[tex]ZX = 4cm[/tex]

Step-by-step explanation:

Given

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

Required

Find ZX

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar

[tex]PQ \to XY[/tex]

[tex]QR \to YZ[/tex]

[tex]RP \to ZX[/tex]

To find ZX, we make use of the following equivalent ratio

[tex]PQ : XY = RP : ZX[/tex]

Where

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

So, we have:

[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]

Express as fraction

[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]

[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]

Make ZX the subject

[tex]ZX = 2 * 2cm[/tex]

[tex]ZX = 4cm[/tex]