Explain how you could write the mixed number 45 3/8 in
scientific notation.

[tex]\bf \begin{cases} f(x)=x^2+1\\ \cline{1-1} g(x)+x=3\\ g(x) = 3-x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \boxed{a}\\\\ (f+g)(x)\implies f(x)+g(x)\\\\ (x^2+1)+(3-x)\\\\ x^2-x+4\\ \cfrac{}{} \end{array}~\hfill \begin{array}{llll} \boxed{b}\\\\ (f+g)(-2)\\\\ (-2)^2-(-2)+4\\\\ 4+2+4\\\\ 10 \end{array}~\hfill \begin{array}{llll} \boxed{c}\\\\ (f-g)(x)\\\\ (x^2+1)-(3-x)\\\\ x^2+x-2\\ \cfrac{}{} \end{array}[/tex]

Answer:There is no need for rounding because 2 is the hundredths place so it's still 0.42

Step-by-step explanation:

Answer:

0.42 is rounded to 0.40

Answer: Each book weighs 2.5 pounds.

Step-by-step explanation: 75 divided by 2.5 is 30.  Or you could also get the answer by multiplying 30 and 2.5 which it would be 75. So, therefor, the answer is 2.5.

To find the weight of each textbook, we divide the total weight by the number of books. Therefore, each book weighs 2.5 lb.

If thirty copies of a textbook weigh a total of 75 lb, to find the weight of each individual book, we need divide the total weight by the number of books.

Here is a step-by-step explanation of the solution:

Therefore, each book weighs 2.5 lb.

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Answer:There are positive integers, for example, 3, and its opposite, a negative integer, -3.

Step-by-step explanation:

Answer:

Any of the numbers {0, 1, 2, 3, ...} etc.  There is no fractional or decimal part. And no negatives.

Answer:

he's on the 5th floor

Step-by-step explanation:

If he's at 0, then he goes down 4. 0-4=(-4)

Then, He goes up 9 floors from -4.

-4+9=5

Hope this helps!!!

Brady

The elevator starts at street level (0), goes down to -4 and then rises 9 floors to reach the conference center. The sum of -4 + 9 gives 5 which is the floor number for the conference center.

The elevator starts at street level, which we are defining as floor 0. It then goes down 4 floors, so it's at -4. However, it then travels up to the conference center, moving a total of 9 floors. You need to add these 9 floors to where the elevator currently is. So you'll calculate -4 (the current floor number) + 9 (the number of floors it goes up) which equals 5. Therefore, the conference center is on the 5th floor.

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Answer:

A geographer studies the elevation of mountains in France

Step-by-step explanation:

Human geography is the process where patterns and processes that builds up human interaction with the environment.This study is done by the geographers. it includes team of geographers examining the interactions between population, they also A studies the elevation of mountains and also team of geographers publish a book about life of the humans to show how they relate with the environment in their living.

Answer:

A geographer studies the elevation of mountains in France

Step-by-step explanation:

took test

Answer:

sorry i cant tell if that two is an exponent. If it is x squared then the answer is the square root of 30

Answer:

When x=1 then the value of y=-2.

Step-by-step explanation:

We are given that a line  on the graph

We have to find the value of  y when x=1

From given graph, the line intersect the x- axis x=3 .Therefore, the point is (3,0).The line intersect y- axis at -3 .Therefor, the point is (0,-3).

We can see that the line passing from (3,0),(2,-1),(1,-2) and (0,-3).

When x=1 then the value of y=-2.

Hence, y=-2 when x=1

Answer:

the correct answer is -2

Step-by-step explanation:

hope this helps

The answer would be pi

Answer:

pi (π)

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point.

Here,

π = 3.14159265359 .........

which doesn't stop or repeat (endless non-repeating digit). That's why pi (π)  is a irrational number.

Answer:

x = [tex]\frac{y+pa}{5}[/tex]

Step-by-step explanation:

Given

y = 5x - pa ( isolate the term in x by adding pa to both sides )

y + pa = 5x ( divide both sides by 5 )

[tex]\frac{y+pa}{5}[/tex] = x

Answer:

Each parent donated 4 dollars

Step-by-step explanation:

80 - 44 = 36

so they got 36 dollars.

36÷9 = 4

In a binomial expansion it has "two terms." In this case you have a + b and a and b are the terms in this expansion. Terms can be numbers or letters and they are separated by the + or - sign.

Hope this helps.

Answer:

9 terms

Step-by-step explanation:

Answer:

b≤25

Step-by-step explanation:

b-6≤19

start by adding 6 to both sides. the result would be b≤25. The answer is that simple.

Answer: 25

Step-by-step explanation:

Simple! Divide 50 in half, which is 25 and that's how many

The number of candles Madeline have is:

                            25

It is given that:

Theo has 50 tea light candles.

Madeline has half as many candles as Theo.

This means that the number of candles with Madeline is half the number of candles with Theo.

The number of candles with Madeline is calculated by:

                            [tex]\dfrac{50}{2}=25[/tex]

Hey!

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Solution:

[tex]= \frac{(15 + 70 - 5^2)}{(36-6)}[/tex]

[tex]= \frac{(15+70-25)}{30}[/tex]

[tex]= \frac{85 - 25}{30}[/tex]

[tex]= \frac{60}{30}[/tex]

[tex]= 2[/tex]

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Answer:

2

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Hope This Helped! Good Luck!

Answer:

Step-by-step explanation:

Part a)

Let the volume of water in glass pitcher be 'V'

Now it is given that 1/8 of water is poured in 2 glasses

Thus the volume of water in each glass is

[tex]V'=\frac{1}{2}\times \frac{V}{8}=\frac{V}{16}[/tex]

Part b)

Now it is given that volume of water in each glass is 3 fluid ounces thus to obtain the original volume we euate the volume obtained in part a with 3. Thus

[tex]\frac{V}{16}=3\\\\\therefore V=3\times 16=48ounces[/tex]

Part c)

After pouring out 1/8 water from the orifinal glass the volume of watre that remains in the pitcher euals

[tex]V_{rem}=V-\frac{V}{8}=\frac{7V}{8}[/tex]

Now since 1/4 of the above volume is poured out which euals

[tex]V_{poured}=\frac{1}{4}\times \frac{7V}{8}=\frac{7V}{32}[/tex]

Thus the volume of water that remains euals

[tex]V'_{rem}=\frac{7V}{8}-\frac{7V}{32}=\frac{21V}{32}[/tex]

Applying the value of V we get

[tex]V'_{rem}=\frac{21\times 48}{32}=31.5[/tex]ounces

Answer:

m∠DHL = 83°

Step-by-step explanation:

Angle IHL and Angle DHL fall in a straight line. We know the measure of a straight line [straight angle] is 180°.

Thus, we can write:

∠IHL + ∠DHL = 180

97 + ∠DHL = 180

∠DHL = 180 - 97

∠DHL = 83°

Hence, m∠DHL = 83°

Answer:

add x

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

5 * 4 = 20

20 + 6 = 26

Answer:

6+5×4

6+20

26

priority is with multiple and divide

Answer:

It would be week 4 through 6.

Step-by-step explanation:

This is because if you notice that during the first 4 weeks they drop and then week 5 and 6 they raise, which means it is 4 -  6 weeks.

Answer:

The correct option is C) week 4 to week 6.

Step-by-step explanation:

Consider the provided Table.

According to the given information.

Week        Average time on hold

  1                           7

  2                          5                        (Decrease -2)

  3                          3                        (Decrease -2)

  4                          2                        (Decrease -1)

  5                          3                        (Increase +1)

  6                          5                        (Increase +2)

If we observe the table we can find that from week 1 to week 4 average value decrease from 7 to 2.

But from week 4 to 6 the average value starts increasing. The average time  increase from 2 to 5.

Hence, the correct option is C) week 4 to week 6.

Answer:

[tex]y = \frac{4}{5}x - 1[/tex]

Step-by-step explanation:

-5 = ⅘[-5] + b

-4

-1 = b

I am joyous to assist you anytime.

Answer: B. -5x - 24

Step-by-step explanation:

Simplify 3(2x − 8) – 11x it  is −5x−24

So the answer is B. -5x - 24

The equivalent Algebraic Expression is -5x - 24.

The correct option is (B).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

3(2x − 8) – 11x

Now, simplifying

3(2x − 8) – 11x

= 6x - 24 - 11x

= -5x - 24

Hence, the equivalent Algebraic Expression is -5x - 24.

Learn more about Algebra here:

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Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.

m − 8

14(m − 8) **

9(m + 8)

112m

hope this helps

Answer:

112m

Step-by-step explanation:

ANSWER: -6

Answer:

The leading coefficient of the polynomial is -9.

Step-by-step explanation:

9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :

-9x3 + 5x2 + 7x -10

Your leading coefficient is the number included with your degree or highest exponent.

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation: One of the numbers is prime, making the LCM 1.

Answer : 1,2,3,4,5,6,10,12,15,20,30,60,

Hope this helped you! Enjoy! :)

The measures of angles AOC and COB typically depend on the lengths of segments or other angles in the configuration. If points A, O, C, and B are on a circle with O as the center, the measures of these angles are related to the lengths of the arcs AC and BC. However, without a specific graphical representation, a precise answer cannot be provided.

Without any graphical representation, we could only suggest a general way to find the measures of Angle AOC and Angle COB. Regardless, in geometry, points A, O, and C usually represent vertices of an angle or a triangle. The measures of these angles could usually be calculated if the lengths of the connecting segments are known or if other angles in this configuration are known.

If 'O' were the center of the circle and 'A', 'C', and 'B' are points on the circle, the measures of angles AOC and COB depend on the measure of arc AC and BC respectively. These measures can be determined by the proportion of the arc length to the total circumference of the circle, multiplied by 360 degrees.

Based on the understanding of the 'points rotate through the same angle (AO)', information given, if both angles rotate through the same angle, then Angle AOC and Angle COB should be equal. However, without a specific graphical representation, it's hard to give a precise answer.

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The measure of angle AOC is 45⁰.

The measure of angle COB is 45⁰

The measure of the angles is calculated by applying trigonometry ratio as follows;

The measure of angle AOC is calculated as;

AOC = 90 - COB (complementary angles add up to 90 degrees)

The measure of angle COB is calculated as;

tan O = CB / OB

tan O = 5 / 5

tan O = 1

O = arc tan (1)

O = 45⁰

So angle COB = 45⁰

The measure of angle AOC is calculated as;

AOC = 90 - 45

AOC = 45⁰

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Hey!

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Solution:

1 quarter = $0.25

56 / 0.25 = 224 quarters.

224 / 8 = 28 quarters per roll.

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Answer:

There will be 28 quarters in each roll.

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Hope This Helped! Good Luck!