Simplify the expression. Write the answer using scientific notation.

(9x10^5)(3x10^10)

a. 2.7x10^16

b. 1.2x10^51

c. 1.2x10^16

d. 2.7x10^51

Step-by-step explanation:

Think of a right triangle (refer the attached image).  If you increase or decrease the length of  one of its legs, while keeping the other leg the same (the hypotenuse  will increase as well) here we have increased the length of the perpendicular side.  You can see that the *subtending*  angle (the angle which is opposite to the increasing leg, x) gets larger,  while the *adjacent* angle (the angle with the increasing leg as one  of its rays) will decrease.  

and we know that:

[tex]\sin x=\frac{AB}{AC}[/tex] and [tex]\cos x=\frac{BC}{AB}[/tex] in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.

( x + 1) and (x - 4)

to factor the trinomial consider the factors of the constant term ( - 4) which sum to give the coefficient of the x-term ( - 3 )

these are - 4 and + 1

x² - 3x - 4 = (x - 4)( x + 1)

Cash outflow I think.

Answer:

answer is A

Step-by-step explanation:

Answer:

a.) [tex]n+5=q[/tex] and [tex].05n +.25q=7.25[/tex]

Step-by-step explanation:

1.  You have that there were 5 more quarters ([tex]q[/tex]) than nickels ([tex]n[/tex]. Therefore, you can express it as below:

[tex]n+5=q[/tex]

2. Keeping on mind that the value of the coins was $7.25 and that a quarter is 25 cents and a nickel is 5 cents, you can write the following expression:

[tex].05n +.25q=7.25[/tex]

3. Therefore, the answer is the option a.

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation.

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  

With some simple algebra we find that w = 9 and l = 12.

Answer:

Option C is the answer.

Step-by-step explanation:

Given that four neighborhood children opened their own lemonade stand. The sales by the four were as follows:

A. 1⁄2

B. 4⁄7

C. 3⁄4

D. 7⁄12

We cannot compare these sales as such since they have different denominators.

To compare we find the Least common denominator for all the four first.

2,7,4,12 have lCD = 12(7) = 84

Now make equivalent fractions for all the four.

A. 1⁄2   = 42/84

B. 4⁄7    = 48/84

C. 3⁄4    = 63/84

D. 7⁄12  = 49/84

Now since denominator is the same we compare and find that

C =63/84 is the largest value.

Hence Option C is the answer.

the answer should be $4799.20

Final answer:

The inequality 5m - 7 > 16 is true for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. After isolating m in the inequality, we find that m must be greater than 4.6. Since we're dealing with whole numbers, the inequality holds for numbers greater than 4.

Explanation:

To solve the inequality 5m − 7 > 16, we first isolate the variable m:

Add 7 to both sides of the inequality to get: 5m > 23.

Next, divide both sides by 5 to find the value of m: m > [tex]\frac{23}{5}[/tex], which simplifies to m > 4.6.

Since m must be greater than 4.6, and we are given a set of whole numbers, we are looking for all numbers greater than 4 in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. This means the inequality holds true for all numbers greater than 4 in the set.

1.) 12x - 33

2.) 12

3.) -6x + y

To solve the equation x/12 - 7 = x/4, multiply all terms by 12 to eliminate the fractions. Simplify the equation and solve for x by isolating the variable.

To solve for x, we need to find an equivalent form of the given equation. First, let's get rid of the fractions by multiplying all terms by 12 (the common denominator).

After multiplying, we get 12(x/12) - 12(7) = 12(x/4), which simplifies to x - 84 = 3x.

Next, subtract x from both sides of the equation to isolate the variable. This gives us -84 = 2x.

Finally, divide both sides of the equation by 2 to solve for x. The equation becomes -42 = x. Therefore, an equivalent form of the given equation is x = -42.

Answer:

4 times 2 equals 8

Step-by-step explanation:

step by step think in your stomach.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Given

Kelly has a spinner with 4 equal sections. She spins it 2 times.

Kelly has a spinner with 4 equal sections. so the outcome is 4 but she spins it 2 times so the outcome will be 4² = 16.

Let the outcome are (1, 2, 3, 4)

Then all the outcomes are

(1, 1)(1, 2)(1, 3)(1, 4)

(2, 1)(2, 2)(2, 3)(2, 4)

(3, 1)(3, 2)(3, 3)(3, 4)

(4, 1)(4, 2)(4, 3)(4, 4)

So the total outcome is 16.

More about the permutation and combination link is given below.

https://brainly.com/question/11732255

113-47 = 66 female sheep

66-47 = 19

19 more female sheep than male sheep

The total number of sheep the farmer has is 113 sheep. Since 47 of them are males and you are solving for the number of female sheep, you can subtract 47 sheep from 113 sheep.

113 - 47 = 66

We have figured out that there are 113 total sheep, 47 male sheep, and 66 female sheep. The question is asking for how many more female sheep are there than male sheep, so subtract the number of male sheep from the number of female sheep.

female sheep - male sheep = answer

66 - 47 = 19

There are 19 more female sheep than there are male sheep.

i think it because when you rational X and witten the numer as a decimal hope i right just joke

example is rational number 4 12 then it say add and decimal the answer going to be 4.12

Answer:

C - 3(2^x).

.

There's seven-eighths of a gallon of chocolate ice cream in the freezer. There's also two-thirds of a gallon of vanilla ice cream.

[tex]\frac{7}{8}[/tex] gallons of chocolate ice-cream

[tex]\frac{2}{3}[/tex]  gallons of vanilla ice-cream

To find how much more chocolate ice cream is there than vanilla

We subtract vanilla from chocolate

[tex]\frac{7}{8} -\frac{2}{3}[/tex]

To subtract fractions we make the denominators same

least common denominator is 24

[tex]\frac{7*3}{8*3} -\frac{2*8}{3*8}[/tex]

[tex]\frac{21}{24} -\frac{16}{24}[/tex]

[tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex] of a gallon

Answer: 1

Step-by-step explanation:

Anything to the 0 power is 1, with the exception of 0⁰ = 0

(1,000,000,000)⁰ = 1

[tex](\frac{2}{5})^{0} = 1[/tex]

(0.0012345)⁰ = 1

Answer:

It's hotter at school.

Step-by-step explanation:

The formula is (F - 32) x 5/9 = C

So 90F would be about 31 or 32 Celsius.  I would recommend googling conversions like this in the future it's faster that way.

The variance of the set is 579

The population standard deviation for this data set is 24

Answer:

579

24

This is correct

Step-by-step explanation:

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches .

Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

The digit that we have is 3,254,107.

To find out what digits are there at hundred and thousands place we need to find out the digits at the respective places.

From the given digit we can see that (we start counting the places from the right i.e 7)

At units place we have 7

At tens place we have 0

At hundreds place we have 1

At thousands place we have 4

So, we have '1' at hundreds place and we have '4' at thousands place.

E and F

note that x² + 8x + 16 is a perfect square which factors as ( x + 4 )², thus

(x + 4 )² = 7 ( take the square root of both sides )

x + 4 = ± √7 ( note plus or minus )

subtract 4 from both sides )

x = ± √7 - 4

x = √7 - 4 → E

x = - √7 - 4 → F

Answer:

E & F

Step-by-step explanation:

i got it right on Apeckxsss

Answer:

(2-x) or (x-2)

Step-by-step explanation:

Given that area of a square is 4-4x+x^2

We know that area of a square = side x side = side ^2

Hence side of a square = square root of area

To find side let us take square root of 4-4x+x^2

This can be written as 4-4x+x^2 = 2^2 -2(2)(x)+x^2

Recall the identity a^2-2ab+b^2 = (a-b)^2

Here a = 2 and b = x

Hence square root can be either 2-x if x<2 or x-2 if x>2

Answer is 2-x or x-2

How is 10 2/3 written as a decimal to the nearest hundreth?

Answer is 10.2/3 because you round it to the hundreth?