How is 5,067,000 written in standard scientific notation?

Answer:

[tex]\huge\boxed{(f-g)(2)=17}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x^2+8;\ g(x)=x-3\\\\(f-g)(2)=f(2)-g(2)\\\\f(2)\ [g(2)]-\text{substitute}\ x=2\ \text{to}\ f(x)\ [g(x)]\\\\f(2)=2(2^2)+8=2(4)+8=8+8=16\\g(2)=2-3=-1\\\\(f-g)(2)=16-(-1)=16+1=17[/tex]

Answer:

28.80$

Step-by-step explanation:

You are finding 60% of 48 because the question is asking what is the price of a 48 dollar item that is 60% off.

Simplify 6 - 8 to -2

n + 1 = 4 * -2

Simplify 4 * - 2 to -8

n + 1 = -8

Subtract 1 from both sides

n = -8 - 1

Simplify -8 - 1 to -9

n = -9

Check answer:

n + 1 = 4(6 - 8)

Let n = -9

-9 + 1 = 4 * (6 - 8)

Simplify 6 - 8 to -2

-9 + 1 = 4 * -2

Simplify 4 * -2 to -8

-9 + 1 = 8

n = 8

Answer:

n=9

Step-by-step explanation:

n+1=4(6-8)

We move all terms to the left:

n+1-(4(6-8))=0

We add all the numbers together, and all the variables

n+1-(4(-2))=0

We add all the numbers together, and all the variables

n+9=0

We move all terms containing n to the left, all other terms to the right

n=9

The answer should be n=9

Answer:

13 weeks

Step-by-step explanation:

Add 590 and 60 together and then divide by 50 and you'll get 13

Answer:

  6 m

Step-by-step explanation:

Multiply your scale by 1.2 m:

  1 : 5 = 1.2 m : 6.0 m

The wings on the plane are 6.0 m long.

Answer:

Thus the number of books at $2 is 9 books.

Step-by-step explanation:

The number of the book purchased = 15 books

Total amount spend to buy the books = $34

The prices of books are $2 and $3.

Let the number of books purchased at price  $2 = x

Let the number of books purchased at price  $3 = y

Now we have to find the number of books that is bought at $2.

Below are the equations.

x + y = 15

2x + 3y = 34

Now solve for the x,  

x + y = 15

y = 15 – x

Now insert it in the 2x + 3y = 34

2x + 3(15-x) = 34

2x + 45 – 3x = 34

-x = 34 – 45

x = 9

Thus the number of books at $2 is 9 books.

Answer:

x² + 4xtx + 4t²

Step-by-step explanation:

Given

(x + 2t)² = (x + 2t)(x + 2t)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 2t) + 2t(x + 2t) ← distribute both parenthesis

= x² + 2tx + 2tx + 4t² ← collect like terms

= x² + 4tx + 4t²

Answer:

D

Step-by-step explanation:

c = √(a² + b²)  is correct because to isolate c you need to square root everything while still keeping a^2+b^2 together.

Answer:

4

Step-by-step explanation:

6-4=2

2x5=10

10+2=12

12 divided by 3=4

She put 4 in each book.

Answer:

22/3

Step-by-step explanation:

a ÷ (b/c) = (a*b) ÷ c

[tex]\frac{2}{\frac{3}{11} } = \frac{2*11}{3} = \frac{22}{3}[/tex]

Answer:

[tex]7\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{\frac{3}{11} } \\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{\frac{b}{c}}=\frac{a\times\:c}{b}\\\\=\frac{2\times\:11}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:2\times\:11=22\\=\frac{22}{3}\\\\22\div 3 =7\: remainder 1\\\\= 7\frac{1}{3}[/tex]

Answer:

B: $2.50

Step-by-step explanation:

Step 1: form an equation

126 = 12(8 + x)

Step 2: isolate the x

126/12 = 8 + x

126/12 - 8 = x

Step 3: solve

10.5 - 8 = x

2.5 = x = raise per hour

Answer: -60

Step-by-step explanation: -4x-3x-5=-60...

Answer: [tex]k=18\dfrac{8}{11}[/tex].

Step-by-step explanation:

If a line passing through two points, then

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]

The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and  [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].

[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]

[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].

Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]

[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]

[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]

[tex]=4k-9\times \dfrac{11}{-145}[/tex]

[tex]=\dfrac{44k-99}{-145}[/tex]

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]

[tex]\dfrac{44k-99}{-725}=-1[/tex]

[tex]44k-99=725[/tex]

[tex]44k=725+99[/tex]

[tex]k=\dfrac{824}{44}[/tex]

[tex]k=\dfrac{206}{11}[/tex]

[tex]k=18\dfrac{8}{11}[/tex]

Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

Answer:

B

Step-by-step explanation:

A triangle is 180 degrees, the top part is 88.

180 - 88 = 92

92/2 = 46.

Answer: 44°

Explanation:-

Method 1:-

We know that the sum of the measurements of two interior angles is equal to the measurement of the exterior angle.

i.e.,

y + y = 88°

→ 2y = 88°

→ y = 88°/2

→ y = 44° (D)

Method 2:-

The adjacent angel of the angle of measurement 88° is 92°.

We know,

Sum of interior angles of a triangle = 180°

According to the Question:-

y + y + 92° = 180°

→ 2y = 180° - 92°

→ 2y = 88°

→ y = 44° (D)

Answer:

8.6

Step-by-step explanation:

Answer:

22.13 units

Step-by-step explanation:

P(ABCD) = AB + BC + CD +AD

Answer:

X=40 and y=70 if you add z you get 110 but I'm not really sure about this answer so you can also subtract it you get 30

Step-by-step explanation:

Answer:

can't hwlp you without an image

Answer:

4

Step-by-step explanation:

The amount of milk remaining is equivalent to 4 gallons.

Given is that Jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day.

1 gallon = 16 cups

2[tex]\frac{1}{2}[/tex] gallons = 2[tex]\frac{1}{2}[/tex] x 16 = 5/2 x 16 = 5 x 8 = 40 cups

Now -

Total milk consumed in 1 day = 3 x 3/2 cups = 9/2 cups = 4.5 cups.

In 8 days, the amount of milk consumed will be = 4.5 x 8 = 36 gallons.

Remaining amount = 40 - 36 = 4 gallons.

Therefore, the amount of milk remaining is equivalent to 4 gallons.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Answer:

43

Step-by-step explanation:

-2+3×15

45-2

43 is the answer

Answer:

x+2 x+2 x+2

Step-by-step explanation:

Answer:

1) Take LCM

(147-2x)/3 = (192-x)/6

2) Cross multiply

882-12x= 576-3x

3) Rearrange

882-576= 12x-3x

306= 9x

x=306/9

x=34

Hope it helps :-)

Answer:

the first one

Step-by-step explanation:

the two planes intersect at line YZ, where they meet

tip: planes intersects at a line, just like how lines intersect at a point

hope this helps :)

Answer:

10 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}[/tex]

Using the distance formula above,

distance between the 2 points

[tex] = \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units[/tex]

Answer:

$168

Step-by-step explanation:

1. x - 1/4x = 126

2. multiply each side by 4

3. 4x - x = 504

4. 3x = 504

5. divide each side by 3

6. x = 168

Answer:   A  C and D

Step-by-step explanation:

Answer:

In every Graph you must have the following:

- Heading

- The Two Axis (X and Y)

- Labels for the two axis

- Data

- A Line of Best Fit* joining them up

*A Line of Best fit is a line that doesn't touch all the points but goes between them so you can see roughly the next part of the pattern.

Answer:

first ans is (1, 2)

second ans is also same

Answer:

729

Step-by-step explanation:

Go on a calculator and do 9^3 and thats your answer!

Answer: 729

Step-by-step explanation: 9 x 9 = 81  So 81 x 9 = 729

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