Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters

Answer:

Step-by-step explanation:

Answer:

A. 1 1/2 cubic inches

Explanation:

We are told that the side length of the cube is 1/8 of an inch. Furthermore, we are also told that the rectangular prism fits 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height. This means the measures of the dimensions of the prism are

Therefore, the volume of the prism is

Hence, the volume of the prism is 1 1/2 cubic inches

Answer:

7 Games

Step-by-step explanation:

1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)

2. replace the x with a whole number because you can't bowl half a game.

Ex: f(3)=12.75 or f(6)=22.50

3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.

Based on the amount that Cameron invests in the bank account that gathers interest each month, the amount in the account after 2 years and 7 months is £4,777.81

The number of periods in months is:

= 2 years and 7 months

= 31 months

The periodic interest in months is:
= 5% / 12 months

= 5/12%

The amount in the bank account after 2 years and 7 months is:

= 4,200 x (1 + 5/12%)³¹

=£4,777.81

In conclusion, the amount after 2 years and 7 months have elapsed is £4,777.81

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The given expression is

3.4 - 2.8d + 2.8d - 1.3

By collecting like terms, we have

- 2.8d + 2.8d + 3.4 - 1.3

= 0 + 2.1

= 2.1

Answer:

-1, 1

Step-by-step explanation:

The translation is 1 unit left and 1 unit up.

Answer:

x = 6 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 20 = 9 x + 2

Subtract 9 x + 2 from both sides:

x^2 - 9 x + 18 = 0

The left-hand side factors into a product with two terms:

(x - 6) (x - 3) = 0

Split into two equations:

x - 6 = 0 or x - 3 = 0

Add 6 to both sides:

x = 6 or x - 3 = 0

Add 3 to both sides:

Answer: x = 6 or x = 3

Answer:

2.75%

Step-by-step explanation:

2260.5-2200=60.5 the extra

60.5/2200=0.0275*100=2.75%

[tex]\frac{3}{4} -\frac{1}{2} p > \frac{5}{4} \\\frac{3}{4}(4)-\frac{1}{2} p(4) > \frac{5}{4} (4)\\3-2p > 5\\-2p > 5-3\\-2p > 2\\\frac{-2p}{-2} > \frac{2}{-2} \\p < -1[/tex]

when you divide or multiply by a negative number the signs <> change directions.

There are 38,936,000 people over the age of 64 were in the U.S.

Option 2 is true.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the U.S. population was about 314 million.

Now,

Total population = 314,000,000

In the pie chart, The percent of people over the age of 64 were in the U.S will be 12.4%

Hence, Solve as;

Number of people over the age of 64 = 314,000,000 × 12.4%

                                                           = 314,000,000 × 12.4 / 100

                                                           = 31,400,00 × 12.4

                                                           = 38,936,000

Thus,

There are 38,936,000 people over the age of 64 were in the U.S.

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(-4,5)

4 to the left on the axis is neg. 5 units up on the y axis makes it positive.

Answer:2 choice

Step-by-step explanation:you use the rise over run technique with 2 points, it should give you rise 1 run 4 since the line is decreasing its a negative. For the y-int its the point where the line crosses Y int which is (0,-2) answer is -2

Check the picture below.

let's bear in mind that the standard deviation measures deviation in a dataset, so is a measure of how much the data fluctuates, so a dataset of 3 , 1000, will have a much higher deviation value than a same total of 450 , 553.

Answer:

26, 27, 28

Step-by-step explanation:

Let the 3 integers be: x, x+1, x+2

x+x+1+x+2 = 81

3x+3 = 81

3x = 78

x = 26

x+1 = 27

x+2 = 28

Answer:900

Step-by-step explanation: 1. set up an equation

x= (p * n)/100 when x= the answer p= the percentage and n= the total number

2. plug in the numbers

x= (30 * 3000)/100

3.solve

x= (30*3000)/100

x= (90000)/100

x= 900

[tex]-\cfrac{3}{4}\div \cfrac{2}{5}\implies -\cfrac{3}{4}\cdot \cfrac{5}{2}\implies -\cfrac{15}{8}\implies {\Large \begin{array}{llll} -1\frac{7}{8} \end{array}}[/tex]

Step 1: Concept

To convert km to meters you will multiply with 1000.

To convert minute to hour you will divide by 60

Step 2: Convert

Step 3: Final answer

Option B and D

Answer:

eywgw6 the car is in the car is in the car is in

Step-by-step explanation:

Wu and I will be in the car is in the car is in the car is in the car is here and we can 4

Answer:

Safe fund = $24,000

Risky fund = $6,000

Step-by-step explanation:

Definition of variables:

Given information:

Convert the percentages into decimal form:

[tex]\implies 2.5\%=\dfrac{2.5}{100}=0.025[/tex]

[tex]\implies 8\%=\dfrac{8}{100}=0.08[/tex]

Create a system of equations from the given information and defined variables:

[tex]\begin{cases}0.025x+0.08y=1080\\x=4y\end{cases}[/tex]

Substitute the second equation into the first equation and solve for y:

[tex]\implies 0.025(4y)+0.08y=1080[/tex]

[tex]\implies 0.1y+0.08y=1080[/tex]

[tex]\implies 0.18y=1080[/tex]

[tex]\implies \dfrac{0.18y}{0.18}=\dfrac{1080}{0.18}[/tex]

[tex]\implies y=6000[/tex]

Substitute the found value of y into the second equation and solve for x:

[tex]\implies x=4(6000)[/tex]

[tex]\implies x=24000[/tex]

Therefore, the amount invested in each fund was:

Answer

Explanation

Given:

m

To determine the mAs we can see, CD form a straight line, so the angle of it must be 180°. Now, we can get the m[tex]\begin{gathered} m\angle APE+m\angle APD=180 \\ 67+m\angle APD=180 \\ Simplify\text{ and rearrange} \\ m\angle APD=180-67 \\ m\angle APD=113\degree \end{gathered}[/tex]Since the line ED is at the center of the circle:

Therefore,

Answer:

[tex]y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation

[tex]y=a(x-p)(x-q)[/tex]  

where:

Given:

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned} y&=a(x-p)(x-q)\\\\\implies-6&=a(5-(-7))(5-3)\\-6&=a(12)(2)\\-6&=24a\\a&=\dfrac{-6}{24}\\\implies a&=-\dfrac{1}{4}\end{aligned}[/tex]

Substitute the given x-intercepts and the found value of a into the formula:

[tex]\implies y=-\dfrac{1}{4}(x+7)(x-3)[/tex]

Expand to standard form:

[tex]\implies y=-\dfrac{1}{4}(x^2-3x+7x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}(x^2+4x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]

Answer: The Correct Sales Prices:

a. $2,730

b.  $2,800

Step-by-step explanation:

a. $4,200 x 35%

$4,200 x .35 = $1,470

$4,200 - $1,470 = $2,730

b. $5,000 x 44%

$5,000 x .44 = $2,200

$5,000 - $2,200 = $2,800

We are told that the weight of an object varies directly with the mass of the object. This basically means that if w is the weight and M is the mass then these two magnitudes are related by the following expression:

Where k is a constant.

We know that an object with a mass of 80kg weights 80 newtons. Then for this object we have w=80kg and M=80n so we get:

We divide both sides of this equation by 80:

Here it's important to remember that 1 newton (i.e. 1n) is equal to:

Then we get:

We divide both sides by 1 kg:

So now that we found k we have the following expression for the weight of an object as a function of its mass:

For an object that weights 70n we get:

We divide both sides by 1 m/s²:

So the mass of an object that weights 70n is 70kg.

The difference between the depths in February and July is D. 13 feet.

From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.

Therefore, it should be noted that the depth in July is -18.

Therefore, the difference between the depths in February and July will be:

= -5 - (-18)

= -5 + 18

= 13

Therefore, the difference is 13 feet.

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The three Points that  lie on the given line 2x=6y+4 are  (5,1) , (8,2) and (11,3).

The given equation of line is given below,

2x=6y+4                              equation 1

We need to find the points that lie on the given line.

Point 1 :

Put x = 5 in equation 1

2(5) = 6y + 4

6y = 6

y=1

So, Point (5,1) lie on the given line.

Point2:

Put x = 8 in equation 1

2(8) = 6y + 4

6y = 12

y=2

So, Point (8,2) lie on the given line.

Point 3 :

Put x = 11 in equation 1

2(11) = 6y + 4

6y = 18

y=3

So, Point (11,3) lie on the given line.

Thus, Points (5,1) , (8,2) and (11,3) lie on the line 2x=6y+4 .    

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The diagram of the number line is shown below

Thus, the distance CD which is the distance between point D and point C is

13 - 11 = 2

CD = 2

Answer: 18 fishes

Step-by-step explanation:

y=0.40(y+g)(2)

g-6=0.40(g-6)+0.40g

=0.40g-2.4+0.40g

=3.6/0.2

g=