given parallelogram abcd, find the value of y.

a) 64

b) 26

c) 82

d) 180

Answer: [tex]1.3 \times 10^{13}[/tex]

Explanation:

We are given, that in 2010, the United States national debt was estimated to be nearly 13,000,000,000,000 dollars.

We are required to find the national debt in scientific notation. The scientific notation is used to represent either very small number or very large number.

The scientific form of the given number is:

[tex]1.3 \times 10^{13}[/tex]

Answer:

a = 629

Step-by-step explanation:

a = w * L

w = 17

L = 2w + 3

a = (17) * (2w + 3)

a = (17) * (2(17) + 3)

a = 17 * (34 + 3)

a = 17 * (37)

a = 629

Answer:

x - 1 and x + 2

Step-by-step explanation:

By the factor theorem if (x - a) is a factor then f(a) = 0.

Try x - 1:_

f(1) =  5(1)^3 + 8(1)^2 - 7 - 6

= 5 + 8 - 7 - 7

= 0  so x - 1 is a factor

We can find the other factors by long division:-

            5x^2  + 13x + 6

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

x - 1 )    5x^3  + 8x^2  -  7x  -  6

           5x^3  -   5x^2

          --------------------

                        13x^2  -   7x

                         13x^2  -  13x

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

                                       6x - 6

                                        6x - 6

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

    5x^2  + 13x + 6   = (5x + 3)(x + 2)                          

Answer:

It would be 2/13 because imagine being given 4 decks of 13 cards and you have. Higher chance of having one to two of an ace or king in the deck compared to pulling none to all four. So 2/13 due to the ratio of 13

Lily swam a 100-meter race, completing the first half in 27.8 seconds and the second half in 30.12 seconds. The difference between these times reveals that it took Lily about 2.32 seconds longer to swim the second half of the race compared to the first half.

The student, Lily, swam a 100-meter race with the first and second halves timed separately. She completed the first half in 27.8 seconds and the second half in 30.12 seconds. To find out how much longer it took her to swim the second half than the first, we need to subtract the first time from the second.

So, the calculation would be: 30.12 seconds (second half) - 27.8 seconds (first half) = 2.32 seconds. Therefore, it took Lily about 2.32 seconds longer to swim the second half of the race compared to the first half.

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Answer:

See the graph of the given inequality in the attachment as shown below:

Step-by-step explanation:

Given the inequality: [tex]m > 2.8[/tex]

To graph this inequality on the number line.

Remember:

Since, in the given inequality the symbol is '>'

Now, sketch a number line and draw an open circle around the number 2.8.

You can see the number line as shown below in the attachment.

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r

F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

Answer:

90 degrees

Step-by-step explanation:

Answer:

7 pie is the world record. That is 1/4 under the record and your Answer.

Step-by-step explanation:

Who come up with these dump questions??

The expression for determining the total cost of buying granola and flour is (3.25/g) * g + (0.74/f) * f. The values of g and f represent the number of pounds of each item. To find the total cost, substitute the values into the expression.

The expression that can be used to determine the total cost is:

Total cost = ($3.25/g) * g + ($0.74/f) * f

where 'g' represents the number of pounds of granola and 'f' represents the number of pounds of flour.

For example, if you wanted to find the total cost of buying 5 pounds of granola and 2 pounds of flour, you would substitute g = 5 and f = 2 into the expression to get:

Total cost = ($3.25/5) * 5 + ($0.74/2) * 2 = $16.25 + $1.48 = $17.73

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The total cost of buying g pounds of granola at $3.25 per pound and f pounds of flour at $0.74 per pound can be determined using the expression 3.25g + 0.74f.

To determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound, you can use the following expression:

3.25g + 0.74f

Here's a step-by-step explanation:

This expression gives you the total cost based on the quantities of granola and flour you wish to purchase.

Answer:

$6340

Step-by-step explanation:

First figure out what 6.5% of 4000 is by multiplying not dividing because dividing will give you a way bigger number.

4000 x 6.5%=260

260 x 9=2340

2340+4000=6340

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8²[tex]\pi[/tex]/4=64[tex]\pi[/tex]/4=16[tex]\pi[/tex]cm²

Area of square+Area of shaded region =2(16[tex]\pi[/tex])=32[tex]\pi[/tex]=100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

Answer:

Area shaded area = 36.48

Step-by-step explanation:

Preliminary

Given

Solution

Quarter Circle Area

Formula

Area = 1/4 * pi * r^2

Solution

Triangle Area

Formula

Area = 1/2 r^2

Given

r = 8

Solution

Area of 1/2 the Shaded area

Formula

Area of 1/2 shaded area = Area of 1/4 circle - Area of Triangle

Givens

Solution

Area Shaded area = 36.48

Answer:

8

Step-by-step explanation:

so they are one third of a pizza so thats 1/3 and 24 memebers so basically you just have to multiply 1/3 x 24 = 24/3 which is 8.

Answer:

8 pizzas should be ordered.

Step-by-step explanation:

To get the number of pizzas to be ordered, all we simple need to do is to multiply the numbers of the group members by the amount to be  consume by each group member. That is;

Number of pizzas to be ordered = amount to be consume by each group member × number of group members.

amount to be consume by each group member = [tex]\frac{1}{3}[/tex]

Number of group members = 24

We can now proceed to insert our values into the formula

Number of pizzas to be ordered = amount to be consume by each group member × number of group members.

Number of pizzas to be ordered =  [tex]\frac{1}{3}[/tex] × 24

                                                        = [tex]\frac{24}{3}[/tex]

                                                          = 8

Number of pizzas to be ordered = 8

Therefore, 8 pizzas should be ordered.

The given radius is = 60 feet

The volume of the sphere is given by = [tex]\frac{4}{3} \pi r^{3}[/tex]

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = [tex]\frac{4}{3}*3.14*60*60*60[/tex] = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

So volume of quarter sphere = [tex]\frac{902059.20}{4}[/tex]

= 225514.80 cubic feet

And rounding this to nearest whole number we get 225515 cubic feet as the answer.

Answer:

Stu makes $338,263 over five years.  

Step-by-step explanation:

In order to find the total amount Stu would make after five years, you need to find out how much he will make each year based on the 2% increase.  Starting with year 1 at $65,000, we need to take his total salary and multiply by 1.02 (or the whole salary plus an increase of 2%).  So, in year 2, he would make $66,300.  Again, we would take his year 2 total salary and multiply by 1.02 to get $67,626 for year 3.  We apply these same steps to years four ($68,978.52) and five ($70,358.10).  To find his income over the five years, we need to add his salary from all five years together to get a total of $338,263.  

Answer:

Option C which is $ 338,263

Step-by-step explanation:

The salary for the first year = $65,000

Increase per year= 2 %

To find total money made in five years = ?

total earned in first year = $65,000

Total increase in money after first year = 2 % of 65,000

                                                                = [tex]\frac{2*65000}{100}[/tex]

                                                                 =$ 1300

Total earned in second year = 65,000 + 1300

                                                = $ 66,300

Total increase in money after second year = 2 % of 66,300

                                                                = [tex]\frac{2*66300}{100}[/tex]

                                                                 =$ 1326

Total earned in third year = 66300 + 1326

                                                = $ 67,626

Total increase in money after third year = 2 % of 67,626

                                                                = [tex]\frac{2*67626}{100}[/tex]

                                                                 =$ 1352.52

Total earned in fourth year = 67626 + 1352.52

                                                = $ 68978.52

Total increase in money after fourth year = 2 % of 68978.52

                                                                = [tex]\frac{2*68978.52}{100}[/tex]

                                                                 =$ 1379.58

Total earned in fifth year = 68978.52 + 1379.58

                                                = $ 70358.1

Total Made in all five years = 65000+66300+67626+68978.52+70358.1

                                             = $ 338262.62

                                             ≅$ 338,263

Answer:

Given the table as shown below:

x               y

-3             8/27

-2             8/9

-1             8/3

0              8

1              24

2              72

3              216

Taking any input variable x that are three apart:

i,e x = 0 and x = 3

The output values at x =0 and x = 3 are:

f(0) = 8 and f(3) = 216

Then;

The ratio of outputs is:

[tex]\frac{f(3)}{f(0)} = \frac{216}{8}= \frac{27}{1}[/tex] or 27 : 1

Therefore, the ratio outputs for any two inputs that are three values apart is: [tex]27: 1[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:

53+3=56

56 times -35

-1960-7

-1967

i think this is how you do it.

Step-by-step explanation:

Kevin:

[tex]\frac{2}{2+1}\cdot12=\frac{2}{3}\cdot12=8[/tex]

Answer:

The least common multiple is 4.

Step-by-step explanation:

Anwser could be 107 because 535/5=107

Answer:

(i) and (iii)

Step-by-step explanation:

for i)

f(x) = [tex]\frac{x^{2}-4}{x+2}[/tex]

     =[tex]\frac{(x+2)(x-2)}{x+2}[/tex]

     =(x-2)

As x =-2

f(x)=-2-2

f(x)=-4

so it is a continuous function

for ii)

from the result of (i) we can deduce the result of second and we see that it is not equal to zero so it is not a continuous function

iii)

f(x)=[tex]\frac{x^{2}+4x+4}{x+2}[/tex]

f(x)=[tex]\frac{(x+2)^{2}}{x+2}[/tex]

f(x)=[tex]\frac{(x+2)(x+2)}{x+2}[/tex]

f(x)=x+2

as x= -2

f(x)=-2+2

f(x)=0

so it is a continuous function

iv) From the result of iii we can deduct that

f(x)=0 because it have the same equation so it is not a continuous function

Answer:

The first and third functions are continuous at x=-2

Step-by-step explanation:

Please, see the attached files.

Thanks.

Answer: 25 people

Step-by-step explanation: 6 x 5 = 30 30-5 = 25

Answer: Choice D) 85.5

Work Shown:

To get the midsegment, we add up the sides parallel to this midsegment, then we divide by 2.

LM = (AB + DC)/2

LM = (46 + 125)/2

LM = 171/2

LM = 85.5

Answer: D is the answerb

Answer:

vw = r      This is not correct

abs ( c - 450) <= 45

Step-by-step explanation:

1.  v = wr

Divide by w             Divide by wr            Divide by r

v/w = wr/w =r            v/wr = wr/wr =1         v/r = wr/r =w

vw = r      This is not correct

v/w = r    This one is good

v/wr = 1       This one is good

v/r= w    This one is good

2.  When working with absolute values, the amount that can vary is on the other side from the absolute value.  

abs( value - target)  inequality  amount that it varies by

the target is 450

no more than is less than or equal to

the amount we can vary by is 45

abs ( c - 450) <= 45

1. The first offered choice is equivalent to ...

... v = r/w . . . . . divide both sides by w

which is not the same as v = wr.

___

2. The wording "no more than 45" means ≤ 45. There's only one formula with such a relationship—the first one.

Comment on "this scenario"

The problem statement describes several relationships, and never tells us whether Lucy's goal is met. The precise "scenario" that is intended to be modeled is not clear. The first inequality has a solution that is the range of calories Lucy might have burned had she reached her goal.

The other inequalities describe other "scenarios," some of which are harder to describe.

Answer:

C) Symmetric

Step-by-step explanation:

The symmetric property is the idea that if A = B, then B = A. Flipping the equation around doesn't matter.

It's like saying 2+3 = 5 is the same as 5 = 2+3. We can extend the symmetric property to not only deal with equations, but include congruence statements as well.

Answer:symmetric

Step-by-step explanation: a p e x

Answer:

The slope is -1

Step-by-step explanation:

To find the slope when we have 2 points, we can use the formula

m = (y2-y1)/(x2-x1)

 = (-16--10)/(10-4)

 = (-16+10)/(10-4)

  = -6/6

= -1

The slope is -1

Answer:

HL = LM

Step-by-step explanation:

We have been given a diagram in which sides AH= EM and AL=EL.

Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.

SSS means (side - side - side)

Two pair of equal sides are already given so we have completed SS of SSS.

Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM

Hence final answer is HL = LM.