Express your answer in scientific notation. 0.00045-2.5x10^-5​

Answers

Answer 1

Answer:

4.25 × 10^-4

Step-by-step explanation:

0.00045-2.5x10^-5

= (4.5 × 10^-4) - (0.25 × 10¹ × 10^-5)

= (4.5 × 10^-4) - (0.25 × 10^{1-5} )

= (4.5 × 10^-4) - (0.25 × 10^-4)

= (4.5 - 0.25) × 10^-4

= 4.25 × 10^-4


Related Questions

The regression sum of squares (RSS) represents: a. The amount of variation in Y around its mean that the regression function can account for. b. The amount of variation in the dependent variable that is not explained by the regression function. c. The amount of variation in the independent variable that is not explained by the regression function. d. The amount of variation in the residuals that is explained by the regression function.

Answers

The regression sum of squares (RSS) represents: a. The amount of variation in Y around its mean that the regression function can account for.

What is regression sum of squares?

The regression sum of squares serves as the  sum of the differences that exist between the predicted value and the mean of the variable.

The Sum of Squared Error  however states the difference between the observed  and the predictive value.

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1. Ellie has 2/8 pound of cheese. She used 1/2 of the cheese to make tacos. Since there are 16 ounces in one pound, how many ounces of cheese does Ellie use to make tacos?

Answers

The ounces of cheese Ellie uses to make tacos is 2

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Calculation :

1 pound = 16 ounces

Total cheese Ellie has = [tex]\frac{2}{8}[/tex] pound

Cheese required to make tacos = [tex]\frac{2}{8}[/tex]×[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex] pounds

Ounces of cheese required to make cheese are [tex]\frac{1}{8}[/tex] × 16 = 2 ounces

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A circle has a radius of 9. An arc in this circle has a central angle of 120°. What is the length of the arc? ​

Answers

Answer:

6pi

Step-by-step explanation:

First, find the circumference of the circle with radius 9. The formula is C = 2*pi*r, so C = 2*pi*9 = 18pi. Since arc is intercepted by the 120 degree central angle, the arc length is essentially 120/360 = 1/3 of the circumference. So, the arc length is 18pi*1/3 = 6pi, or approximately 18.850.

How many different license plates can be made if each license plate is to consist of 3 letters, followed by 2 digits, and no letters or digits may repeat

Answers

Explanation: The alphabet consists of 26 letters, and if each license plate has 3 letters we can make 8 plates. It may be followed by 2 digits but there is a plenty amount of different 2 digit numbers so we don't have to worry about that.

Answer: 8 License plates

Hope this helped! :D

creating holes in the sand to fill the varied buckets is an example of an inverse relationship

true or false

Answers

Answer:

True

Step-by-step explanation:

You are taking away sand from the ground and adding sand to the bucket. There is less sand on the ground and more in the bucket making it inverse.

look at the graph below. what is the slope of the line a. -3 b.-1/3 c.1/3 d. 3

Answers

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run. Every 3 units to the left, it rises 1 unit, so the slope is -1/3.

Identify the slope of a line perpendicular to the given line Y=2x-4

Answers

[tex]m = \frac{ - 1}{a} = \frac{ - 1}{2} \\ y = \frac{ - 1}{2} x + b[/tex]

Choose the equation that satisfies the data in the table.
-1 0 1
0
3
6
X
Y
OA. y = 3x +3
B.y = -x +9
Oc.y=x+9
OD. y=-3x +3

Answers

Answer:

A

Step-by-step explanation:

Based on the given table:

(x, y )  values  are

(-1, 0)

(0, 3)

(1, 6)

A.

y = 3x+3, substitute each x and y pair in the equation to see if it checks

(x= -1, y= 0)              (x= 0, y= 3)          (x= 1, y= 6)

0 = -1·3+3                 3 = 0·3 +3          6 = 1·3 + 3

0 = 0✅                    3 = 3✅               6 = 6✅

The table shows the first five terms for two number sequences with different rules. Select the coordinate plane that has the ordered pairs properly plotted. (4 points)

A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers six, eight, ten, twelve, fourteen. Under Sequence Two is the numbers sixteen, thirteen, ten, seven, and four. Under Ordered Pairs is the ordered pairs six and sixteen, eight and thirteen, ten and ten, twelve and seven, and fourteen and four.

Answers

The linear function of the table of values is y = -1.5x + 25

How to plot the ordered pairs?

The table of values is given as:

Sequence One       Sequence Two       Ordered Pair        

6                                         16                           (6, 16)

8                                         13                           (8, 13)

10                                        10                           (10, 10)

12                                         7                            (12, 7)

14                                         4                            (14, 4)

From the above table of values, we can see that:

As x constantly increases by 2 i.e. +1y constantly decreases by 3 i.e. -3

This means that the table represents a linear function, and the slope of the function is

m = -3/+2

This gives

m = -1.5

A linear function is represented as:

y = mx + c

This gives

y = -1.5x + c

Using the table of values, we have

16 = -1.5 * 6 + c

Evaluate the product

16 = -9 + c

Add 9 to both sides

c = 25

Substitute c = 25 in y = -1.5x + c

y = -1.5x + 25

Hence, the linear function of the table of values is y = -1.5x + 25

See attachment for the graph of the table

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I need help with this
Example 1 Find 6 – 9. 6 – 9 = 6 + ( – 9) To subtract 9, add – 9. = – 3 Simplify

Answers

Answer:

Step-by-step explanation: This example is saying that adding a negative number is the same as subtracting a positive number. For example 2-3 = 2 + (-3).

if x^2 - 9 = 0 then x can only be equal to 3. true or false

Answers

Answer:

False

Step-by-step explanation:

The variable could also be -3, not just 3.

Answer:

False

Step-by-step explanation:

x^2 - 9 = 0

x^2 = 9

x = +- 3

A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. how far does sal drive in 1 hour? round the answer to the nearest mile. a. 28 miles b. 56 miles c. 60 miles d. 111 miles

Answers

Compute the speed of the car:

[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]

So after 1 hour, Sal will have driven about 56 mi.

PLEASE HELP IM STUCK

Answers

Step-by-step explanation:

2 equations with 2 variables.

the most common approach is

1. use one equation to express one variable by the other.

2. use this expression in the second equation and solve for the second variable.

3. use that solution in the original first equation and solve for the first variable.

the end.

0.05N + 0.10D = 2.20

N + D = 23

1. N = 23 - D

2. 0.05(23 - D) + 0.10D = 2.20

1.15 - 0.05D + 0.10D = 2.20

0.05D = 1.05

D = 1.05/0.05 = 21

3. N = 23 - D = 23 - 21 = 2

2 Nickels, 21 Dimes

What is the area of the shape?

Answers

The area of the shape is 35 square units

How to determine the area of the shape?

The given shape is a trapezoid, and it has the following side lengths

Parallel bases = 6 and 8

Height = 5

The area of the shape is then calculated as:
A = 0.5 * (sum of parallel bases) * height

Substitute the known values in the above equation

A = 0.5 * (6 + 8) * 5

Evaluate the product

A = 35

Hence, the area of the shape is 35 square units

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The area of the given trapezoid is given as 35 square units

How to determine the area of a trapezoid?

The given shape is quadrilateral known s a trapezoid. The formula for calculating the are of the trapezoid is expressed as;

A = 1/2(a+b)*h

where

a and b are parallel sides

h is the height of the trapezoid.

Given the following parameters

a =6units

b = 8 units

h - 5 units

Substitute to have:

A = 1/2(6 + 8) * 5

A = 1/2(14) *5

A = 7 * 5

A = 35 square units

Hence the area of the given trapezoid is given as 35 square units

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HELPP!!!!! PLSSSS!!!!

Consider functions f and g. Select the correct answer.

f(x)=(x^4)+9x²-3
g(x)=(1/2)^(x-2)

Using a table of values, what are the approximate solutions to the equation f(x)=g(x) to the nearest quarter of a unit?

A.) x congruent to -0.25 and x congruent to 2.5

B.) x congruent to -1 and x congruent to 0.75

C.) x congruent to -0.5 and x congruent to 0.5

D.) x congruent to -0.25 and x congruent to 1.5

Answers

B. x is about equal to -1 and x is about equal to 0.75

When plugged into both equations, these values make f(x) and g(x) approximately the same.

If you are choosing a single card from a standard deck of playing cards, what is
the probability that you draw a face card or a heart?
Your answer should be in the form of a fraction. Type it like this: 15/52.
Just to review:
• There are 52 cards in a deck.
• There are 4 suits with 13 cards each.
o 2 red suits - hearts and diamonds
o 2 black suites - clubs (look like clovers) and spades
• Each suit has an Ace, numbered cards 2-10, and 3 "face" cards--a Jack, Queen, and King.

Answers

Step-by-step explanation:

there are 4 suit with 13 cards each

add and subtract function PLS HELP!!!!

Answers

Answer:

The first option:

[tex]6x^{2} -4x+6[/tex]

Step-by-step explanation:

Trust me I am right.

If you need work please ask!

Have a nice day!

We can fill a certain barrel with water if we use water from 6 small pitchers, 3 medium pitchers, and one large pitcher, or from 2 small pitchers, 1 medium pitcher, and 3 large pitchers. If we use only large pitchers of water, how many of them do we need to fill the barrel?

Answers

Answer:

Solution Given:

let pitcher which is small be S medium be M and large be L and barrel be B.

By question

6S+3M+1L= 1B...... eq. 1

2S+1M+3L=1B.......eq. 2

The difference in 2L from the first to the second is 4S and 2M

Therefore, each L=2S+M

In equation 2

2S+1M+3L=1B

replacing 2S +1M by L,we get

L+3L=1B

4L=1B

Therefore, 4 large pitcher is required

Answer:

4 large pitchers

Step-by-step explanation:

Define the variables:

Let x = volume of a small pitcherLet y = volume of a medium pitcherLet z = volume of a large pitcherLet b = volume of a barrel

Create two equations with the given information and the defined variables.

Equation 1

If the barrel can be filled with 6 small pitchers, 3 medium pitchers and 1 large pitchers:

⇒ 6x + 3y + z = b

Equation 2

If the barrel can be filled with 2 small pitchers, 1 medium pitcher and 3 large pitchers:

⇒ 2x + y + 3z = b

Substitute Equation 2 into Equation 1

⇒ 6x + 3y + z = 2x + y + 3z

Subtract 6x from both sides:

⇒ 3y + z = -4x + y + 3z

Subtract y from both sides:

⇒ 2y + z = -4x + 3z

Subtract z from both sides:

⇒ 2y = -4x + 2z

Divide both sides by 2:

⇒ y = -2x + z

Substitute the found expression for y into Equation 1:

⇒ 6x + 3(-2x + z) + z = b

⇒ 6x - 6x + 3z + z = b

⇒ 4z = b

Therefore, 4 large pitchers are needed to fill the barrel.

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Please help right away

Answers

Answer:

A: (4,7)

B: (2,1)

C: (6,1)

Step-by-step explanation:

To plot the points, go along the x-axis (the horizontal line with the x on the end) and stop where the dot is. Whatever number the dot is above is the   x-coordinate. Then, however many numbers you go up by to reach the dot is your y-coordinate.

hope this helps :)

In the diagram below, EF || HG, EF = 5, HG = 12, FI = 1 4x + 3
and HI= 6.1x - 6.5.
What is the length of HI?

Answers

The length of HI in the similar triangles is: (4) 24.

What are Similar Triangles?

The corresponding sides of triangles that are similar to each other have ratios that are equal to each other, thus, they are proportional.

Triangle EFI and triangle GHI are similar to each other. Therefore, their corresponding sides have ratios that are equal. Thus, we will have the following:

HI/FI = HG/EF

Given:

EF = 5,

HG = 12,

FI = 1.4x + 3

HI = 6.1x - 6.5

Plug in the values

6.1x - 6.5/1.4x + 3 = 12/5

Cross multiply

5(6.1x - 6.5) = 12(1.4x + 3)

Open the bracket

30.5x - 32.5 = 16.8x + 36

30.5x - 16.8x = 32.5  + 36

13.7x = 68.5

Divide both sides by 13/7

13.7x/13.7 = 68.5/13.7

x = 5

HI = 6.1x - 6.5

Plug in the value of x

HI = 6.1(5) - 6.5

HI = 30.5 - 6.5

HI = 24

The length of HI in the similar triangles is: (4) 24.

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11 points please help me

Answers

From the given sample data in the table on the backpack weight, we have;

(a) The means of the samples are;

First sample = 6.375Second sample = 6.375Third sample = 6.625

(b) The range is 0.25

(c) The true statements are;

A single sample mean will tend to be a worse estimate than the mean of the sample means

The farther the range of the sample means is from zero, the less confident they can be their estimate.

How can the mean of the sample means be found?

(a) The sample means of each of each of the three samples are found as follows;

[tex]Mean = \frac{ \sum \: x}{n} [/tex]

Where;

x = The value of a data point

[tex] \sum \: x = Sum of the data [/tex]

n = Sample size

The mean of the first sample, S1, data is therefore;

[tex]Mean \: S1 = \frac{3 + 7 + 8 + 3 + 7 + 9 + 6 + 8}{8} [/tex]

3+7+8+3+7+9+6+8 = 51

Which gives

[tex]Mean \: S1 = \frac{51}{8} = \mathbf{6.375\[/tex]

Mean of the first sample = 6.375

Similarly, we have;

[tex]Mean \: S2 = \frac{8 + 6 + 4 + 7 + 9 + 4 + 6 + 7}{8} [/tex]

8 +6+4+7+9+4+6+7 = 51

Which gives;

[tex]Mean \: S2 = \mathbf{\frac{51}{8}} = 6.375 [/tex]

Mean of the second sample = 6.375

[tex]Mean \: S3 = \frac{9 + 4 + 5 + 8 + 7 + 5 + 9 + 6}{8} [/tex]

9+4+5+8+7+5+9+6 = 53

Which gives;

[tex]Mean \: S3 = \frac{53}{8} = \mathbf{6.625} [/tex]

Mean of the third sample = 6.625

(b) The range of the means of the sample means is found as follows;

Range = Largest value - Smallest value

Which gives;

Range of the sample means = 6.625 - 6.375 = 0.25

(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.

The true statements are therefore;

A single sample mean will tend to be a worse estimate than the mean of the sample means

The farther the range of the sample means is from zero, the less confident they can be their estimate.

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5. The grid shows how many eggs Ms. Benton bought.
The shaded boxes represent the number of eggs she
used to make the cookies. What percent and fraction
of the eggs bought were not used to make the cookies?
Show your work in the space below. Remember to
check your solution.

Answers

Answer:

You can count how many boxes that are not shaded to find how many eggs were not used, but that's to find out the fraction

Step-by-step explanation:

Count the boxes total in the grid. then count the number of boxes were not shaded. the number of total boxes is your denominator, and the number of boxes thar aren't shaded is your numerator.

I think...

please help! find the distance of AG if A (4,4) and G (-1,-1)

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

By using distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(4 - ( - 1)) {}^{2} + (4 - ( - 1)) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(4 + 1) {}^{2} + (4 + 1) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{2(5) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5 \sqrt{2 }\: \: units[/tex]

The distance between two points [tex]\rm{A(x_1,y_1)} [/tex] and [tex]\rm{B(x_2,y_2)}[/tex] is given by the formula,

[tex] \rm{AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

Proof:

[tex] \rm{Let \: X'OX \: and \: YOY' \: be \: the \: z-axis \: and \: y-axis \: respectively. Then, O \: is \: the \: origin.}[/tex]

[tex] \rm{Let \: A(x_1,y_1) \: and \: B(x_2,y_2) \: be \: the \: given \: points.}[/tex]

[tex] \rm{Draw \: AL \perp \: OX, BM \perp \: OX \: and \: AN \perp BM }[/tex]

Now,

[tex] \rm{OL=x_1,OM=x_2,AL=y_1 \: and \: BM=y_2}[/tex]

[tex]\rm\therefore{AN=LM=(OM-OL)=(x_2-x_1)}[/tex]

[tex] \: \: \: \: \rm{BN=(BM-NM)=(BM-AL)=(y_2-y_1)}[/tex]

[tex] \rm{In \: right \: angled \: \triangle ANB, by \: Pythagorean \: theorem,}[/tex]

We have,

[tex] \: \: \: \: \rm{AB^2=AN^2+BN^2}[/tex]

[tex] \rm{or,AB^2=(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex] \rm\therefore AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]

The Given question,

Find the distance of AG if A (4,4) and G (-1,-1).

Solution,

The given points are A(4,4) and G(-1,-1).

Then,

[tex] \rm{(x_1=4,y_1=4) and (x_2=-1,y_2=-1)}[/tex]

We know that,

The distance formula,

[tex] \rm{AG= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{ {( - 1 - 4)}^{2} + {( - 1 - 4)}^{2} } [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{ {( - 5)}^{2} + {( - 5)}^{2} } [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{25 + 25} [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{50} [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{(2)(25)} [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{(2)(5)(5)} [/tex]

[tex] \: \: \: \: \: \: \: \: = \sqrt{(2)( {5}^{2}) } [/tex]

[tex] \rm \: \: \: \: \: \: \: \: = 5 \sqrt{2} \: units[/tex]

Answered by:

[tex]\frak{\red{moonlight123429}}[/tex]

Mr. jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%. how much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals? $6455 $6455 $6798 $6798 $6887 $6887 $6977 $6977 skip to navigation

Answers

Answer:

$6455.

Step-by-step explanation:

The formula for this investment is:

A = P(1 + r/4)^4t      where P = amount deposited ,  A amount after t years,

                                r = rate (as a decimal fraction).

So we have:

7160.06 = P(1 + 0.026/4)^16

7160.06 = P * 1.109227

P = 7160.06 / 1.109227

  =  $6455.

use the fact that there are 2pi radians in each circle to find another angle, smaller than 2pi, that is equivalent to 17pi/6. with detailed steps pleasee

Answers

The equivalent angle in the interval [0, 2pi] is 5pi/6.

How to find the equivalent angle?

Remember that for any given angle θ in radians, we define a family coterminal or equivalent angles as:

A = θ + n*(2pi)

Where n is a whole number.

Now we want to find an angle equivalent to 17pi/6 that is on the range between 0 and 2pi.

Then we can write:

A = 17pi/6 + n*(2pi)

If we use n = -1, then we get:

A = 17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6

This is the equivalent angle in the desired range.

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It took Sandra 5 hours to drive to her father's house and back. She lives 120 miles from the city where her father lives. What was her per hour driving rate for the trip?

Answers

5 hours both ways
240 miles both ways
240/5 = 48 miles per hour

What is the area of the following polygon?
I have tried 24, 25 and 26 and none of worked and I am at a loss.

Answers

The area of the polygon is 25.5 square units

How to determine the area of the polygon?

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

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Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). 16x3 − 50x2 − 23x − 30 16x3 − 50x2 − 23x 30 16x3 − 30x2 − 23x 30 16x3 50x2 − 23x 30

Answers

The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.

To find the correct simplification of the given expression:

The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.The squared term will be the sum of the products of factors whose degrees total 2:[tex](8x)(-5x)+(-5)(2x^{2} )=-40x^{2} -10x^{2} =-50x^{2} =16x^{3} -50x^{2} -23x+30[/tex]

Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)

(A) 16x3 − 50x2 − 23x − 30

(B) 16x3 − 50x2 − 23x + 30

(C) 16x3 − 30x2 − 23x + 30

(D) 16x3 + 50x2 − 23x + 30

Sketch The Graphs:

y = -1/3x -2

Answers

Answer:

Step-by-step explanation:

The graph of the straight line [tex]y = -\frac{1}{3}x -2[/tex] is plotted. The graph is shown below.

A straight line is of the form y = mx + c, where m is the slope and c is the y-intercept.

To plot the given straight line [tex]y = -\frac{1}{3}x -2[/tex], follow the following steps:

Step 1: Substitute x = 0 in the given equation to obtain the point where the line intersects the y-axis.

y = 0 - 2

y = -2

The point at the y-axis is (0, -2).

Step 2: Substitute y = 0 in the given equation to obtain the point where the line intersects the x-axis.

[tex]0 = -\frac{1}{3}x -2\\x = -6[/tex]

The point at the x-axis is (-6, 0).

Step 3: Draw a straight line passing through both points.

Thus, the straight line [tex]y = -\frac{1}{3}x -2[/tex] is plotted.

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Using flowcharts, programmers can break large systems into subsystems that are easier to understand and code.
a. true
b. false

Answers

It is True that Using flowcharts, programmers can break large systems into subsystems that are easier to understand and code.

What is the use of flowcharts?

A flowchart  serves a picture  consisting the separate steps of a process which is in sequential order and can be used to  break large systems into subsystems during programing.

If a more cohesive module is needed, it can be formed into one unit, having the performance of  multiple functions.

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