Please answer this with an explanation

Answer:= The exponent is 12

Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)

When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents

(a* 10^b) (c* 10^d) = ac * 10^(b+d)

(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)

                                                =68.25 * 10^11

But this is not proper scientific notation.  We can only have 1 number in front of the decimal.  We need to move the decimal 1 place to the right.  That adds 1 to the exponent.

=68.25 * 10^11  = 6.825 * 10^(11+1)

                           = 6.825 * 10^12

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

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Answer:

210

Step-by-step explanation:

48/4=12

840/48=17.5

12*17.5=210

210*4=840

Answer:

2.42

Step-by-step explanation:

First, we need to find the mean

Add up all the number

1+6+5+8+3+7+1+4+10+9 = 54

Count up all the numbers (found in data)

10

Then, divide

54/10 = 5.4

Then find the absolute difference between each point and the mean and sum them together  and divide by the number of points

((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10

24.2 ÷ 10 = 2.42

2.42

Answer:

2.42

Step-by-step explanation:

Answer:

2:3 = 5

Red counters

2÷5×20

= 8

- therefore there are 8 Red counters

Yellow counters

3÷5×20

= 12

-therefore there are 12 yellow counters

Answer

Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.

Step-by-step explanation:

no step by step explanation

does that help??

The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

1) We have inequalities h > 150 and h < 160 for Lin height.

The height of the Lin varies between 150 cm to 160 cm because:

h ∈ (150, 160)

2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:

h < h' < 164

3) As the inequality for the Lin height: h > 150 and h < 160 or

h ∈ (150, 160)

And h < 164

So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.

Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

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Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.

The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:

Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86

Therefore, the probability that the next customer will pay with something other than a credit card is:

P = Total customers who paid cash or used a debit card / Total number of customers

P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)

P = 0.93

So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

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Answer:

12

Step-by-step explanation:

if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.

Answer:

(-4,3)

Step-by-step explanation:

Answer:

Option 1 :  (-4,3)

Step-by-step explanation:

When doing coordinates we always go across first the up or down.

Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.

Therefore our answer must be (-4,3)

Answer:

x≈5

Step-by-step explanation:

x^2-5x6=0

x^2-30=0

x^2-30+30=30+0

x^2=30

x≈5

Answer: 45

Step-by-step explanation:

A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.

Answer:

x = 1

Step-by-step explanation:

[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Using Definition of Logarithm

7 ^(4x−6) = 1/49

​Use the rules of exponents and logarithms to solve the equation.

7 ^(4x−6) = 1/49

​Take the logarithm of both sides of the equation.

log(7^4x-6) = log(1/49)

The logarithm of a number raised to a power is the power times the logarithm of the number.

(4x-6)log(7) = log(1/49)

Divide both sides by log(7).

4x-6 = log(1/49)/log(7)

​By the change-of-base formula log(a)/log(b) = log(small b under) (a).

4x-6 = log(small 7 under) (1/49)

Add 6 to both sides of the equation.

4x=−2−(−6)

Divide both sides by 4.

x = 4/4 which is the same as x = 1

​

Answer: equation would be 15x+42>7

Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3

Answer:

This is a set of independent events.

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)

2. Find the number that is in the middle

3. Find all the quartiles by finding the median of the lower and upper halves of the list

4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

Answer:

345 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]

Volume

Cost per cm³=$8

Total cost

Answer:

$113.04

Step-by-step explanation:

Formula

[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]

[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]

[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]

[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]

Answer: X = 10.20240940...

Step-by-step explanation:

x(2x + 9) = 2x^2 + 9x

2x^2 + 9x = 300

- 300 ON BOTH SIDES

2x^2 + 9x - 300 = 0

SOLVE USING THE QUADRATIC FORMULA

x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940…

When using "-" in the equation you should get:

x = −14.70240940…

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...

YOUR ANSWER IS:    x   =  10.20240940...

Answer:

27

Step-by-step explanation:

108 ÷ 4 = 27

proportion

if 1/x = 4/108

4x = 108

x = 108/4

x = 27

Answer:

b because you add the 8 by 2 because 10 is too long and 8 is perfect size

Answer:

2x - y = - 13

Step-by-step explanation:

y - 5 = 2(x + 4) ← distribute parenthesis by 2

y - 5 = 2x + 8 ( add 5 to both sides )

y = 2x + 13 ( subtract 2x from both sides )

- 2x + y = 13 ( multiply through by - 1 )

2x - y = - 13

Answer:

The answer is 4,224

Step-by-step explanation:

hope this helpss

Answer:

3y is the GCF

Step-by-step explanation:

the lowest value is -9y, so it can't be a value in the exponents

All answers are listed below:

The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:

A = k² · b · h   (1)

Where k is the scale factor.

And we can derive a scale factor by comparing two areas:

[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex]   (2)

Where [tex]A_{o}[/tex] is the original area, in square feet.

If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:

For A = 0 ft², the scale factor is 0.

For A = 40 ft², the scale factor is 2.

For A = 160 ft², the scale factor is 4.

For A = 360 ft², the scale factor is 6.

For A = 640 ft², the scale factor is 8.

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dilated area in square feet (x) scale factor (y)

0 0

40 2

160 4

340 6

640 8

Answer: 3

Step-by-step explanation:

[tex]10a^3b^2-5a^2b+15a^2b^3\\\\=5a^2b(2ab-1+3b^2)[/tex]

Answer:

a = 65

b = 65

Step-by-step explanation:

a = 65 becasue of corresponding angles.

a and b are opposite angles of a parallelogram.

b = a = 65

Answer:

a=65° b=65°

Step-by-step explanation:

from the diagram,

b=65° (alternative angles are equal)

a=65° (corresponding angles are equal)

Answer:

y=x-6

Step-by-step explanation: