Round 17.20947 to the nearest
hundredth.

Answer: -1/6

Step-by-step explanation: Start by changing the minus a negative

to plus a positive, so we have -2/3 + 1/2.

Since our denominators of 3 and 2 have no factors in common,

our least common denominator is 3 · 2 or 6.

In order to get a denominator of 6 in each fraction,

we multiply top  and bottom of the first fraction by 2

and top and bottom of the second fraction by 3.

That gives us -4/6 + 3/6 which simplifies to -1/6.

AnswerAnswer:

Step-by-step explanation:

-0.16666666666

9514 1404 393

Answer:

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

Answer:

So coming back to the question; No, there is no rational number that is not an integer but is a whole number. The number is called as a rational number if it can be expressed as p/q where p & q are integers & q is not 0. All negative integers are rational numbers but those are not whole numbers.Jan 1, 2020

Step-by-step explanation:

Lets do

[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]

Lets take an example

[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]

[tex]\\ \sf\longmapsto 5(2)+2[/tex]

[tex]\\ \sf\longmapsto 10+2[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Answer:

c= 13

Step-by-step explanation:

The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper

Answer:

y²z²-x²

3*3*4*4-2*2

3*16-4

48-4

44

Step-by-step explanation:

* means multiply

Answer:

[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]

Answer:

point C

Step-by-step explanation:

both planes include point C so that is where they intersect

Answer:

Point C

Step-by-step explanation:

As you can see in the picture below, Point C is where both planes intersect. Point C is what both planes have in common.

Answer:

I belive I might be c not completely sure but pretty positive

Answer:

[tex] \frac{3}{4} n = 12[/tex]

Step-by-step explanation:

let the number be n :

[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]

further more:

[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]

Answer:

3x4=12

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

-13-25-24-14

= -76/4

= -19

Answer:

(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR

53n² +29p² +17q² -14np +8nq -10pq

Step-by-step explanation:

The perimeter is found by adding all the side lengths.

P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)

We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²

P = (7n-2p)² + (2n+4q)² +  (q-5p)²

We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab

P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq

Combine like terms

Answer:

The area of the circle is 2.41 in^2

Step-by-step explanation:

You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.

1 3/4 = 7/4

7/4 = 1.74

Now, let's use the area of circle formula.

A = 1/4πd^2

A = 1/4 * π * 1.75^2

A ≈ 2.40528

Let's round the area to the nearest hundredth.

2.40528 = 2.41

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

Answer:

2456

Step-by-step explanation:

Step-by-step explanation:

2x-18 ≥ 0

2x ≥ 18

x ≥ 9

and

3x -27 ≠ 0

3x ≠ 27

x ≠ 9

so, the answer is <9 ; +oo >

Answer:

D . p = 50

Step-by-step explanation:

To find the value of p we first need to find the values of inner angles

180 - 140 (linear pair)

= 40

180 -90 (linear pair)

= 90

now use angle sum property of triangle

40 + 90 + p = 180

130 + p = 180

p = 180 - 130

p = 50

Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

Answer:

C) [tex]y = \frac{1}{2}[/tex] × [tex]4^x[/tex]

Answer:

C.    y= 1/2*4^x

Step-by-step explanation:

Answer:

the answer is = 0.08666666666

The decimal value of 8 2/3% is 866.677.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

8 2/3% into decimal.

So, 8 2/3%

= 26/3 %

= 26 /3 x 100

= 8.6666667 x 100

=866.6777

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

9514 1404 393

Answer:

  $63.75

Step-by-step explanation:

Mike's final price will be 1-25% = 75% of the marked price.

  ($80 +5)(0.75) = $63.75

The final price for Mike's purchase is $63.75.

9514 1404 393

Explanation:

If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.

__

  [tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]

We assume that you know dividing by 10 moves the decimal point one place left.

Answer:

the answer is "B"

the "a" (as in ax^2) is negative thus the parabola "goes downward"

Step-by-step explanation:

The equation of parabola is,

y = - 1/2x²

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.

We have to given that;

In a parabola,

Vertex = (0, 0)

Since, We know that;

Standard form of equation of parabola is,

y = a (x - h)² + k

Where, (h, k) = (0, 0) = vertex

Hence, We get;

y = a (x - 0)² + 0

y = ax²

Here, A point on parabola is, (2, - 2)

- 2 = a (2)²

a = - 2 / 4

a = - 1/2

Hence, The equation of parabola is,

y = - 1/2x²

Learn more about parabola visit:

https://brainly.com/question/29635857

#SPJ7

Answer:

3=g/-4  -5

3+5=g/-4

8= g/-4

8x(-4)=g

g=-32

Step-by-step explanation:

Answer:C

Step-by-step explanation:

6(x+7)=5(x-7)+x

⇔6x+42=5x-35+x

⇔6x-5x-x=-35-42

⇔0x=-77  

Answer:

460 sq ft

Step-by-step explanation:

Assuming the room is a perfect rectangle and not accounting for doors and windows:

14 ft x 10 ft = 140 sq ft X 2 = 280 sq ft

9 ft x 10 ft = 90 sq ft x 2 = 180 sq ft

280 sq ft + 180 sq ft = 460 sq ft

Answer:

ITS 80,000,000

Recall that density = mass / volume.

Let's plug our known values into the equation.

15 g/cm^3 = 360g / volume

First, let's multiply both sides by volume

Volume * 15 g/cm^3 = 360g

Divide both sides by 15 g/cm^3

Volume = 24 cm^3

Density is defined as the mass per unit of volume. The volume of the ball is 24 cm³.

Density is defined as the mass per unit of volume. It is given by the formula,

Density = Mass / Volume

Given that You have a lead ball with a mass of 360 g. The density of lead is 15 g/cm³.

Now, since density is the ratio of mass and volume. Therefore, we can write the volume of the ball as,

Density = Mass / Volume

Volume = Mass / Density

Volume of the ball = 360g / 15g/cm³

                               = 24 cm³

Hence, the volume of the ball is 24 cm³.

Learn more about Density here:

https://brainly.com/question/952755

#SPJ2

Answer:

l think it's consumer spending

Answer:

[tex]4g^{2}h-12gh^{2}-9gh[/tex]

Copy and paste version:

4g^2h-12gh^2-9gh

Step-by-step explanation:

[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]

Answer:

4g^2h-12gh^2-9gh

Step-by-step explanation:

Answer:

5 more matches was won by yu-na kim