Find the 81st term of the arithmetic sequence -28, -34, -40, ...

Answer:

42

Step-by-step explanation:

12+(5(12))/3

42

Answer:

42

Step-by-step explanation:

[tex]A = \frac{a+b}{2} h[/tex]

[tex]A = \frac{1+6}{2} 12[/tex]

[tex]A = \frac{7}{2}12[/tex]

[tex]A=7*6[/tex]

[tex]A = 42[/tex]

Answer:

5

Step-by-step explanation:

Answer:

A. $204.00

Step-by-step explanation:

Pizzas: 11.80*12=141.6

Chips: 1.59*15=23.85

Sodas: 1.74*15=26.1

Equation:           141.6

                          23.85

                             26.1

                        _______+

                         191.55 closest to $204.00

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

x = 3, y=0

Step-by-step explanation:

2x + y =6

y = x-3

Substitute the second equation into the first

2x +x-3 =6

Combine like terms

3x-3 =6

Add 3 to each side

3x-3+3 = 6+3

3x= 9

Divide each side by 3

3x/3 = 9/3

x =3

Now we need to find y

y = x-3

y = 3-3=0

y=0

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

Answer:48

Step-by-step explanation: 4+4+4+2 inch border+2 inch separators 16

6+2 inch border. 16+16+8+8

Answer:

C. 56

Step-by-step explanation:

1. Find combined area of the photos

1. Find the of one photo

[tex](6)(4)= A[/tex]

[tex]24= A[/tex]

2. Multiply by 3 because there are 3 photos

[tex](24)(3)=[/tex] area of photos

[tex]72=[/tex] area of photos

2. Find the area of the picture frame

1. Length:

the length of one photo is 6 and there is a 1 inch gap from the edge of the photo to the edge of the picture frame so

[tex]6+1+1=[/tex] length of the picture frame

   [tex]6+2=[/tex]

      [tex]8=[/tex] length of the picture frame

2. Width

the width of each photo is 4, there is 1 inch in between each photo, and there is a 1 inch gap from the edge of the photos to the edge of the picture frame so

[tex]4(3)+1+1+1+1=[/tex] width of the picture frame

       [tex]4(3)+4=[/tex]

         [tex]12+4=[/tex]

             [tex]16=[/tex] width of the picture frame

3. Use these numbers to find the area of the picture frame

[tex]A =(16)(8)[/tex]

[tex]A=128[/tex]

4. Subtract the are of the photos from the area of the picture frame

[tex]128-72=[/tex]

     [tex]56[/tex]

Answer:

(E) 9

Step-by-step explanation:

A= 4

B= 5

C= 0

a+b+c= 4+5+0= 9

a+b=9= 4+5=9

a+c=4= 4+0=4

b+c=5= 5+0= 5

Answer:

E(9) pls mark brainleast

Step-by-step explanation:

If you add the left sides you get 2a+2b=2c then add the right sides which is 18.  Now you have an equation 2a+2b+2c=18 then you can factor out the 2  that becomes 2(a+b+c)=18 then divide by two on both sides then get  a+b+c=9.

Answer:

B.) 7

Step-by-step explanation:

7 x 4 = 28

28 + 12 = 40

:)

Using multiplication, the original number is 7.

Multiplication is "the process multiplying that the integer is multiplied by number of time".

According to the question,

A number is multiplied by 4. The results is added to 12. The final number is 40. In order to find original number.

4x + 12 = 40

        4x = 40 -12

        4x = 28

          x = 28/4

          x = 7.  

Hence, using multiplication, the original number is 7.

Learn more about multiplication here

https://brainly.com/question/9813637

#SPJ2

Answer:

164 inches

Step-by-step explanation:

A=2(wl+hl+hw)

you subsitute your l width and height

2(3(10)+4(10)+4(3))

2(30+40+12)

2(82) gets you to 164 inches squared

Answer:

164

Step-by-step explanation:

You need to find the area of all sides of the figure.

i first found the front side of the rectangle.

10*4=40 but since there are two of the same shapes, you have to multiply it by two which gives you 80. then you do the same on the top and bottom of the figure.

3*4=12*2=24

10*3=30*2=60

60+24+80=164

Capacity: Capacity Example would be : The amt. of gallons in a pool.

( How much Can Be filled ?sort of questions )

Mass: Mass Example : How much mass does a can of tomatoes have on Earth and the Moon? ( Think the amt. of space taken will be same regardless of weight.)

Length : How tall are you?

( Think how long/ height of it? How much is measures)

Answering your Essential Question : Conversions of measurement can help you solve problems because we can use them to compare, and use them to find the weight or length in a different place ( Think Metric, and Customary Units.)

Hope it Helps! =)

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Answer:

28 min

Step-by-step explanation:

The word combined signals to addition.

if we are adding 12+16, add the ones place first and you will get 8

There are 2 tens in the tens place

1+1=2

Put them together and it is 28 min

Hope this helped :)

Answer:

28

Step-by-step explanation:

because 12 + 16 = 28

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

Answer:

A) 1

Step-by-step explanation:

Next time can you add more information to this thanks

Answer: 2/3

Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.

In slope-intercept or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself

on the left side of the equation and we do that by

first adding 2x to both sides to get 3y = 2x + 6.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = 2/3x + 2.

Now in y = mx + b form, the slope is coefficient of the x term.

So we can see that the slope of this line is 2/3.

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

Answer:

5.00

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

Answer:

x=20 and y=128.Option 2

Step-by-step explanation:

Since,the angles are vertically opposite,they are equal(property)

Therefore,

(3x-8)=(2x+12)

3x-8=2x+12

3x-2x=12+8

x=20,

Now,

Since,the angles are formed in a straight line,their sum is equal to 180(property)

Therefore,

y+(2x+12)=180

y+2×20=180-12

y=168-40

y=128

Therefore,x=20 and y=128

option 2 would be your answer because it explains the missing part where y is.

[tex]y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5[/tex]

[tex]y=4^x[/tex]

OK, we'll go in steps.  First a reflection through the x axis, which negates y.

[tex]y = -4^x[/tex]

Now a vertical scaling of 2/3

[tex] y = -\frac 2 3 \cdot 4^x[/tex]

Now we shift seven units to the right,

[tex] y = -\frac 2 3 \cdot 4^{x+7}[/tex]

Now down five,

[tex] y = -\frac 2 3 \cdot 4^{x+7} - 5[/tex]

There it is.

Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice

Answer:

The solutions are (0, 4) and (-3, -5).

Step-by-step explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2  + 4 = -9 + 4 = -5.

Answer:

y = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre ad r is the radius

Given

x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )

x² + 18x + y² - 10y = 2

Using the method of completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25

(x + 9)² + (y - 5)² = 108 ← in standard form

with centre = (- 9, 5 )

The y- coordinate of the centre is therefore y = 5

Answer:

a)

Theoretical: 10/30 = 1/3

Experimental: 12/30 = 6/15

Step-by-step explanation:

the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2

30 ÷ 3 = 10

the theoretical probability = 10/30 or simplified 1/3

the experimental probability is the result when one of the numbers from

1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15

Theoretical:

fraction: 1/3

decimal: 0.33∞

percentage: 33%

Experimental:

fraction: 6/15

decimal: 0.4

percentage: 40%

I hope this was helpful :-)

Answer:

9 feet/miles/inches/centimetres/meters whatever the label is.

Answer:

9

Step-by-step explanation:

Answer:

[tex]\sqrt{24}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.

[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.

480% is 480/100 which equals 4.8 which is also not correct.

Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.