Write 8,350,000,000 in scientific notation.

8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107

Answer:

true

Step-by-step explanation:

That is a true statement.

The density of steel is approx. 7.85 g/cm³.

The density of water is approximately 1 g/cm³.

Solution :

solve by considering data :

The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.

Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.

The perimeter P of a rectangle is given by the formula, P=2l+2w, where l is the length and w is the width of the rectangle.

Given that, the perimeter is 56 meters and the length is 16 meters. So, substitute these values into the formula.

56=2(16)+2w

Simplify.

56=32+2w

Subtract 32 from both sides.

24=2w

Divide each side by 2 .

12=w

Therefore, the width of the rectangular pool is 12 meters.

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Answer:

23,716 ft

Step-by-step explanation:

Let the side length of each of the four smaller lots be s.

Then, Fritz will use 12s feet, which is equal to 924.

This means s=77.

This means the area of each smaller square is 77²=5929, and thus the total area is 23,716 ft.

The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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Answer: y = 6/5 x + 1

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y-intercept value.

According to the question we need the solve this equation for y:

6x – 5y = -5

This can be written as:

-6x + 5y = 5

-6x + 6x + 5y = +6x + 5

0 + 5y = 6x + 5

5y = 6x + 5

5y / 5  = (6x + 5) / 5

y = 6/5 x + 1

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Step-by-step explanation:

The absolute value of x is g(x)=f(x)+k.

The probability that at least one of the births requires a cesarean delivery is 0.897.

To calculate prob(x >= 1):

prob(x>=1) = 1 - prob(x = 0)

                  = 1 - (1-0.248)^8

                  = 0.897

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The calculated division of the numbers 40 divided by 20 is 2

From the question, we have the following parameters that can be used in our computation:

40 divided by 20

When represented as an equation, we have

40 divided by 20 = 40/20

Divide 40 by 20

So, we have the following result

40 divided by 20 = 2

Using the above as a guide, we have the following:

the result is 2

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Effective Annual Yield : 10.5%

Effective Annual Yield

​ In the case of monthly  there are 12 months in a year. Therefore, making n=12. So, the effective annual yield if the interest 10% is compounded monthly is given as r=10, n=12;

           [tex]Y= (1 +\frac{r}{n}) ^{n}-1 = (1 +\frac{0.1}{12}) ^{12}-1\\ =(1 +0.00833) ^{12}-1\\ =(1.00833) ^{12}-1\\ = 1.10466 -1\\ = 0.10466[/tex]

   But, this is decimal form, to convert it to the percentage form we have to multiply the decimal form by 100 and finally, place "%" after the last digit of the number. That is,

                                       Y= 0.10466× 100%

                                       Y=10.46% or 10.5%

                     Effective Annual Yield : 10.5%

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]

Calculate accordingly!

[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )

[tex]x-2x=-21+23+9[/tex]

[tex]-x=11[/tex]

Therefore,

[tex]x=-11[/tex]

( You can test this out by substituting the values )

Answer:

27% or 0.27

Step-by-step explanation:

Since this is a probability question, you have to add the marbles together and divide by the probability that it's asking for. So...

# of R marbles = 3

# of G marbles = 5

# of B marbles = 2

# of W marbles = 1.

So add it together and you will get 11.

Now, divide the number of marbles/total number of R marbles.

3/11

Which gives you 0.27272727

So your answer is 27% or 0.27

We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

A) We know that the equation of the line is:

y - y₁ = m (x - x₁)

where m = y₂ - y₁ / x₂ - x₁

Now, we have:

P = ( x₁, y₁) = (2, 3)

Q = (x₂, y₂) = (9, 5)

We get m by substituting the values as:

m = 5 - 3 / 9 - 2 = 2 / 7

The equation then will be:

y - y₁ = 2 / 7 (x - x₁)

Substituting the values, we get that:

y - 3 = 2/7 ( x - 2)

7 y - 21 = 2 x - 4

2 x - 7 y - 4 + 21 = 0

2 x - 7 y + 17 = 0

B) When PQ will intersect x-axis, then the point will be = ( x, 0)

2 x - 7 y + 17 = 0

2 x - 7 (0) + 17 = 0

2 x = -17

x = - 17 / 2

Point = (-17 / 2 , 0)

Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

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Answer:

[tex]250 \leqslant 57m[/tex]

[tex]57m \: \geqslant 250[/tex]

Step-by-step explanation:

Minimum is a word meaning greater than or equal to.

Hope this helps!

If you have anyother question feel free to ask!

The length of XY is 4, the length of ZW is 6 and the lengths are not congruent

The coordinates of the points are given as:

X, Y, Z, and W = -8, -4, 3, and 9,

The above means that

XY = |Y - X|

ZW = |W - Z|

So, we have

XY = |-4 + 8| = 4

ZW = |9 - 3| = 6

Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent

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In linear equation ,  the quotient of a number n= 27

What is a formula for linear equations?

2 + N/9 = 5

N/9 = 5 - 2

N/9 = 3

N = 9*3

N=27

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Answer:

32

_____

         [tex]\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32[/tex]

_____

Answer:

102°

Step-by-step explanation:

540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)

360° ÷ 4 = 90° (sum of angles in a square = 360°)

180° ÷ 3 = 60° (sun of angles in a triangle = 180°)

360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)

x = 102°

(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)

Hope this helps! ^^

Answer:

5/4 > 5/6

Step-by-step explanation:

The best description for the elevation of Kristianstad is below sea level.

The elevation of Kristianstad, Sweden, a city founded by King Christian IV of Denmark, is -2 meters .

The best option that describes the elevation of Kristianstad is as follows:

Therefore,

At sea level the elevation will be at 0 meters.

Above sea level the elevation will be above 0 meters. That will make the elevation to be positive

Below sea level the elevation will be below 0 meters. That will make the elevation to be negative.

Therefore, the best description for the elevation of Kristianstad is below sea level.

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Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.

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Answer:

11.5

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

x stands for an unknown value, so we will put the x next to the 6 to solve the equation.

6x = 69

--- ---- <------ fraction bar/divide

6 6

x = 11.5

Check:

6 (11.5) = 69

69 = 69

True statement.

The area of the triangle is found as 12 unit².

A triangle is a three-sided polygon with three sides that closes a space.

The formula for the area of the triangle is;

Area of triangle= ½ × base × height

The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).

Put the values in formula.

Area of triangle = ½(6)(4)

Area of triangle = 12 unit.²

Therefore, the area of the triangle is found as 12 unit.²

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The inverse function of the function is s'1(t) = 1/7(10t + 85)

Inverse functions are the opposite of an original equation.

This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function f(x) is given as

s(t) = -(85 - 7t)/10

As a general rule, we start by writing s(t) as a variable (say s(t) = s).

So, the equation of the function becomes

s = -(85 - 7t)/10

The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10

The equation becomes

t = -(85 - 7s)/10

The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10

The equation becomes

10t = -(85 - 7s)

Open the bracket

10t = -85 + 7s

So, we have

7s = 10t + 85

Divide by 7

s = 1/7(10t + 85)

Express as an inverse function

s'1(t) = 1/7(10t + 85)

Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)

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Answer:

A: 0.50

B: 2.70

C: 28.20

D: 3.10

E: 2.40

F: 9.90

G: 15.200

H:  1.40

I: 0.80

J: 39.20

K: 2.50

L: 0.80

Here are the first ones

M: 4

N: 4

O: 23

P: 8

Q: 4

R: 53

S: 3

T: 28

U: 11

V: 17

W: 92

X: 25

Y: 8

Z: 3

These are the last ones

Hope you found these helpful! <3

Answer:

31 and 59

Step-by-step explanation:

We can figure this out by putting the words into an equation

"three degrees less than twice the measure of the smaller angle"

we know the smaller angle = x, so:

twice the smaller angle=2x

3 degrees less=-3

you then put those into an equation where they all add up to equal 90 and simplify

x+2x-3=90

3x-3=90

3x=93

x=31

you then plug that into the equation we would have for the second angle:

2x-3

2(31)-3

62-3

59

the first angle would be 31 and the second angle would be 59

:D

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation

Solution :

Repeating or recurring decimals :

Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.

Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.

The repeating decimal to fraction steps of conversion are given below:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.

Step 1: We can observe that 7 is repetitive in the given decimal number.

Step 2: Let x = 0.7777...

Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...

Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.

Step 5: x = 7/9. Therefore, 0.7777... = 7/9.

Hence,

you multiply 10 by the repeating decimal to make a fraction

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​

[tex] \Large {\mathbb {SOLUTION: }}[/tex]

[tex] \: \: \text{L = 3w - 1}[/tex]

[tex] \: \: \text{P=46}[/tex]

[tex] \: \: \text{2(3w-1) + 2w = 46}[/tex]

[tex] \: \: \text{6w - 2 + 2w = 46}[/tex]

[tex] \: \: \text{8w = 48}[/tex]

[tex] \: \: \text {W = 6 }[/tex]

[tex] \: \: \text{L = 17}[/tex]

[tex] \: \: \text{Applying the inequalities:}[/tex]

[tex] \: \: \text{L>=17 and w=6}[/tex]

[tex] \: \: \text{The perimeter is at least 46.}[/tex]