The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
D = 0.032t2 + 0.21t + 5.6, 0 ≤ t ≤ 8
where t represents the year, with t = 0 corresponding to 2000.†

Answer:

hsad

Step-by-step explanation:

Answer:

the question isnt clear

Step-by-step explanation:

Answer:

a) 0.16

b) 100.00

c) 0.001

d) 16.00

Step-by-step explanation:

each 20m miles takes 1g gallon.

Answer:

[tex]y=-\frac{1}{20} x + 20[/tex]

Step-by-step explanation:

The slope equation is always [tex]\frac{rise}{run}[/tex]. In this case, the gallons went down by 1- so we can call the rise -1. When it went down by 1, the miles went up by 20- so we can call the run 20. This gives us a fraction (the "m" value) to put in the slope equation [tex]y=mx+b[/tex]. To find the y intercept (the "b" value), you find out what y is when x = 0, which is given in the chart: 20.

Answer:

its not

Step-by-step explanation:

because the x equals 4 so it will be 4+3+4=9 because 3+4 equals 5 so you add 4 and get 9

Answer:

x = 15°

x = 135°

x = -45°

x = -180°

Step-by-step explanation:

Trigonometric Equations

Solve

cos(2x + 30°) = 0.5 for -180° ≤ x ≤ 180°

Applying the inverse cosine function:

2x + 30° = arccos(0.5)

There are several angles whose cosine is 0.5. They are 60°, 300°, -60° and -300°, thus we have these candidate solutions:

2x + 30° = 60°

2x + 30° = 300°

2x + 30° = -60°

2x + 30° = -300°

Subtracting 30° to all the equations:

2x = 60° - 30° = 30°

2x = 300° - 30° = 270°

2x = -60° - 30° = -90°

2x = -60° - 300° = -360°

Dividing by 2 we have the complete set of solutions:

x = 15°

x = 135°

x = -45°

x = -180°

Answer:

9991

Step-by-step explanation:

103 × 97

(100 +3) (50+47)

get two number which you can add to get the value in the question

n then expand

100(50+47) +3(50+47)

5000+4700+150+141

9991

Answer:

a stretch shirt

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]

Where, n = 8.

Plug in the value of n into the formula

[tex] = \frac{(8 - 2)180}{8} [/tex]

[tex] = \frac{(6)180}{8} [/tex]

[tex] = \frac{1,080}{8} = 135 [/tex]

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

Answer:The LCM of 4, 8 and 12 is 24.

Step-by-step explanation:

9514 1404 393

Answer:

  a) h/2

  b) r/√2 = (r√2)/2

Step-by-step explanation:

a) The volume of a cone is proportional to height. If the volume is halved, then the height will be halved.

The new height will be h/2.

__

b) The volume is proportional to the square of the radius. If the volume is halved, the square of the radius is halved. The new radius will be ...

  (r')² = r²/2

  r' = r/√2 = (r√2)/2 . . . radius of half-volume cone

9514 1404 393

Answer:

  150 Wh

Step-by-step explanation:

We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

  (10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh

Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

Answer:

the remainder is 5. 2,786 R 5

Answer:

J. 108°

Step-by-step explanation:

m<EDF = 180 - 148 = 32° (angles on a straight)

m<EFD = 180 - 140 = 40°(Angles in a straight line)

m<DEF = 180 - (m<EDF + m<EFD) (sum of triangle)

m<DEF = 180 - (32 + 40)

m<DEF = 180 - 72

m<DEF = 108°

Answer: Yes, if there is no number in front of a variable(or letter, as you said), it is actually 1.

a = 1a

x^2 = 1x^2

2m + n = 0 means 2m + 1n = 0

Step-by-step explanation:

Answer:

The radius of the circle is: 4.09 cm

Step-by-step explanation:

Assuming the shape to be a circle.

The perimeter of a circle is called circumference and is given by the formula.

[tex]C = 2\pi r[/tex]

For the time being, we know

[tex]\pi = 3.142\\C = 25.71cm[/tex]

Putting the values in the formula we get: as x is the radius

[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]

Hence,

The radius of the circle is: 4.09 cm

Answer:

12²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

12² + 10 × 2 - (9 + 6) ÷ 5

Step 2: Steps

We do parenthesis first, so (9 + 6) is the first thing we do.

The next thing we do is exponents (according to BPEMDAS), so we do 12².

Answer:

Following PEMDAS

Next step : Exponents

Next step : Multiplication

Next step : Division

Next step : Addition

Next step : Subtraction

Step-by-step explanation:

12²+10×2-(9+6)÷5

Open parentheses

12²+10×2-15÷5

Exponents : 12²= 144

144+10×2-15÷5

Multiplication : 10×2=20

144+20-15÷5

Division : -15÷5= -3

144+20-3

Add :144+20=164

164-3

Subtract

= 161

Answer:

30%

Step-by-step explanation:

Step 1:

6/20          Divide

Step 2:

3/10       Simplify

Step 2:

30/100      Multiply

Answer:

30%

Hope This Helps :)

Answer:

[tex] \huge \bf \: solution[/tex]

[tex] \sf \: total \: people \: = 20[/tex]

[tex] \sf \: people \: picked \: chocolate \: cake = 6[/tex]

[tex] \huge \tt \: \: percent \: = \frac{6}{20} [/tex]

[tex] \tt \: now \: \\ \tt \: \frac{3}{10} [/tex]

[tex] \tt \: 3 \times 10 = 30[/tex]

[tex] \large \boxed{30\%}[/tex]

Answer:

$0.90

Step-by-step explanation:

1 quart = 2 pints

Write a proportion:

$1.80 / 4 pint = x / 2 pint

Cross multiply:

4x = 3.60

Divide:

x = 0.90

The price per quart is $0.90.

Answer:

4-quart carton of fruit punch for $2.08

Step-by-step explanation:

4-quart carton of fruit punch for $2.08

2.08 : 4 = 0.52

check your work:  0.52 x 4 = 2.08

so for the first offer you will be paying $0.52 per quart .

4-cup carton of fruit punch for $0.80

1 cup = 0.25 quarts

4 cups = 1 quart

0.80 : 1 = 0.80

for the second offer you will be paying $0.80 per quart of fruit punch. 4-quart carton of fruit punch for $2.08 is a better buy because you will be paying for each quart than in first offer.

hope this helps!

Answer:

Step-by-step explanation: To find the mean of the dot plot, you will need to add all of the dots together.

For example: Above 2, there are 3 dots , so you would need to multiply 2 by three to get 6 dots above the number 2.

Do that for all of the numbers on the dot graph from 1 - 6, and you will have this equation:

1 + 6 + 18 + 20 + 15 + 12

Next, you will need to add all those numbers together and you will get 72.

Lastly, divide by how many numbers there are, and there are 6 numbers.

So, that will be 72/6 which is 12.

Your answer will be 12.

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

Step-by-step explanation:

Area of a rectangular plot = Length × width

With the aid of the diagram attached below.

For plot 1:

The area = ( 60 - 20 ) × ( 80 - 20 )

Area = 40 × 60

Area = 2400 sq yard

For plot 2:

Area = (160 - 120 ) × ( 180 - 120 )

Area = 40 × 60

Area = 2400 sq yard

Therefore, the combined area of the two plots of land = 2400 + 2400

= 4800 square yards

Answer:

6 or 33percent

Step-by-step explanation:

because he don't have a numerator

because he is not belong to the group the three is fraction and the first one is a percent

 [tex]\huge\boxed{.6}[/tex]

______________________________

- A rational number is a terminating or repeating decimal.

- An irrational number is when you can't write that number as a fraction.

______________________________

If you have anymore questions, or need help with anything else, feel free to ask!