Find the difference of (4.2x10^3)-(2.7x10^3)
Show work!

Answer:

1250 miligrams.

Step-by-step explanation:

Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.

Answer:

B.

Step-by-step explanation:

a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).

"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".

specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.

all defined segments are continuous functions.

so, let's look at

A. the first connection point is x=-2.

-2 + 6 = 0.5×(-2)²

4 = 0.5×4 = 2

4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.

B. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous at this point.

second connection point x=4

0.5×4² = 20 - 3×4

0.5×16 = 20 - 12

8 = 8 is correct. continuous at this point

C. x=-2

-2 - 2 = 0.5×(-2)²

-4 = 2 is wrong. not continuous

D. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous here.

now for x=4

4 + 4 = 25 - 3×4

8 = 25 - 12 = 13

8 = 13 is wrong. not continuous.

Answer:

A number that measures the likelihood that the event will occur.

Step-by-step explanation:

Probability is a measure of the frequency of occurrence of a phenomenon, the value of which can be expressed qualitatively or quantitatively. Probability is quantified as a real number between 0 and 1, although sometimes probability is also expressed as a percentage. The probability is 0 when the event cannot or will never happen, and the probability is 1 when it happens for sure or it always happens. If the probability is between these values, the event is not common and its occurrence is uncertain. The higher the probability value, the more common the event is or the more certain it will occur.

Answer:

Letter C

Step-by-step explanation:

Given:

[tex]5a+18<-27[/tex]

Subtract 18 from both sides

[tex]5a<-45[/tex]

Divide 5 from both sides to get [tex]a[/tex] alone

[tex]a<-9[/tex]

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

Answer:

97

Step-by-step explanation:

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 9}[/tex]

[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]

[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]

[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]

[tex]\large\textsf{But, your overall answer should be:}[/tex]

[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]

[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

We know

To get 2ab satisfied

16 must be added on both sides to get (x+4)²

Answer:

y = 5/3x - 5

Step-by-step explanation:

y = mx + b

b = y-intercept

m = slope

y = mx - 5

plug in the x-intercept

0 = m(3) - 5

5 = 3m

m = 5/3

y = 5/3x - 5

graph is below, both intercepts are on the line

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

Answer: (x+1)^2(x-5)^4(x+2)

Step-by-step explanation: 1. Cancel x  (x+1)^2(x-5)(x+2)(x-5)^3

Use The product Rule: x^a x^b= x ^a+^b and your answer should be (x+1)^2(x-5)^4(x+2)

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that [tex]\sigma = 3.6[/tex]

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 2.054*3.6[/tex]

[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]

[tex]n = 2.19[/tex]

Rounding up:

A sample size of 3 is required.

Answer:

910,000 ÷ 2,000

Step-by-step explanation:

1 ton = 2000 pounds

therefor divide pounds by 2000 to get tons

910,000 ÷ 2,000

Answer:

£80

Step-by-step explanation:

80-(10%x80)=72. hope this helps

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

Answer:

She bought 7 coach tickets and 7 first class tickets.

Step-by-step explanation:

1. Set the equations up using y to represent first class and x to represent coach:

x + y = 14

370x + 1140y = 10,570

2. Use a graphing calculator to graph the equations and find the point where they intersect.  The intersection point will tell you the number bought:

Answer:

Sarah bought y = 8 first class tickets.

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

 Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Ok, cool

Step-by-step explanation:

Answer:

4444

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

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Answer:

your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20

Answer:

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x  ≤ 6 + 2y

3x - 6  ≤ 2y

(3/2)x  - 6/2  ≤ y

(3/2)x  - 3  ≤ y

or:

y ≥ (3/2)x  - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than  (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

Answer:

120

Step-by-step explanation:

formula:

[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]

The number of 3 letter words formed from the word ACTION is 120.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

The given word is ACTION.

We need to form a three letter words.

Here, 6P3 = 6!/(6-3)!

= 6×5×4×3!/3!

= 6×5×4

= 120 ways

Therefore, the number of possible words formed from the word ACTION is 120.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

#SPJ3

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file.

For question 1:

Forecast for December:

[tex]\to \frac{(77+75+83)}{3} \\\\ \to 78.33[/tex]

For question 2:

Forecast for December:

[tex]\to (77 \times .5+75 \times 3+83 \times .2) \\\\\to 79.40[/tex]

For question 3:

Forecast for December:

[tex]\to 72.22+(83-72.22)\times 0.2 \\\\\to 74.37[/tex]

For question 4:

So, the 3-month weighted moving average (3.58)

Answer:tôi chưa hiểu câu hỏi của bạn

Step-by-step explanation:

Answer:

work out 8^2 and then ×1/4

[tex] \frac{1}{4} (8)^{2} = 16 \: not \: 8[/tex]

therefore

[tex] \frac{1}{4} ({8})^{2} (12) = 192[/tex]

Answer:

b. x=22

Step-by-step explanation:

3x-23=43

3x=43+23

3x=66

x=22

AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .