Add. Write your answer in scientific notation. (1.38×104)+(8×103) 9.38×1049 point 3 8 times 10 to the 4th power 2.18×1042 point 1 8 times 10 to the 4th power 9.38×1079 point 3 8 times 10 to the 7th power 2.18×107

Answers

Answer 1

The addition of the expression (1.38×10⁴) + (8×10³) written in scientific notation is "9 point 3 8 times 10 to the 7th power". option C

Scientific notation

(1.38×10⁴) + (8×10³)

= (1.38 + 8) × 10^(4 + 3)

= 9.38 × 10^7

Options:

9 point 3 8 times 10 to the 4th power

9.38×10⁴

2 point 1 8 times 10 to the 4th power

2.18×10⁴

9 point 3 8 times 10 to the 7th power

9.38×10^7

2.18×10^7

Therefore, the addition of the expression (1.38×10⁴) + (8×10³) written in scientific notation is "9 point 3 8 times 10 to the 7th power".

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Related Questions

Say you are given the graph of the line y = -x. Write the equation of the line that is perpendicular to the given line and goes through the point (-8, 2).

Answers

Key ConceptsPerpendicular linesLinear equationsSlope-intercept form

Linear equations are often organized in slope-intercept form: [tex]y=mx+b[/tex]

m = slopeb = y-intercept

To find a linear equation, we often first solve for the slope, and then solve for the y-intercept algebraically.

To find the slope of a perpendicular line, we must find the negative reciprocal of the slope of the reference line.

Solving the Question

We're given:

Reference line is [tex]y=-x[/tex]Perpendicular line passes through  [tex](-8,2)[/tex]

1) Find the slope of the reference line

We can rewrite the reference line to be clearer in slope-intercept form:

[tex]y=-1x+0[/tex]

This means that -1 is the slope.

2) Find the slope of the perpendicular line

The negative reciprocal of -1 is 1. Therefore, the slope of the perpendicular line is 1. Plug this into slope-intercept form:

[tex]y=x+b[/tex]

3) Solve for the y-intercept of the perpendicular line

[tex]y=x+b[/tex]

Plug in the given point (-8,2) and solve for b:

[tex]2=-8+b\\b=2+8\\b=10[/tex]

Therefore, the y-intercept of the perpendicular line is 10. Plug this back into our original equation:

[tex]y=x+10[/tex]

Answer

[tex]y=x+10[/tex]

The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
a. 9 ≤ x ≤ 18
b. 18 ≤ x ≤ 33
c. 36 ≤ x ≤ 42
d. 45 ≤ x ≤ 60

Answers

The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.

What is Compound Inequality?

Two or more inequalities are connected together with or or and to form a compound inequality (also known as a combined inequality).

A value must only make one aspect of an inequality true in order to be the solution to an or inequality. An inequality's solution must make both portions true in order to be effective.

According to the given values;

given parameters are

Range = 45 to 60 inches

Sides = 9, 18 and x

The sum of the three sides is

sum=9 + 18 + x

Evaluate

Sum = 27 + x

Recall that

Range = 47 to 60 inches

So, we have

45 ≤ 27 + x ≤  60

Subtract through by 27

So, we have

18 ≤ x ≤ 33

Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.

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b.a slug takes 4.25 minutes to travel 11.2 centimeters. what is the speed of the slug in meters per second? predicted number of significant digits in answer: 2 or 3 answer value: actual number of significant digits:

Answers

Answer:

0.00375 meters per second,

Step-by-step explanation:

0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375

Can someone please help I will be giving Brainliest to whoever can answer :)


Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)


1. A = {(x, y): y > x^2}


2. B = {(x, y): y ≥ x^2+ 3}


3. C = {(x, y): y ≤ 3x^2 + 2}


4. D = {(x, y): y ≥ 2x^2- 5x + 1}


5. E = {(x, y): 16 ≤ x^2+ y^2 ≤ 25}


6. x^2- 3x ≥ 0


7. x^2- 3x + 2 ≤ 0


8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}

Answers

The questions are matched with the graphs that are labeled A-H. (

1. A = {(x, y): y > x^2}                       Matching answer D2. B = {(x, y): y ≥ x^2+ 3}                 Matching answer G3. C = {(x, y): y ≤ 3x^2 + 2}              Matching answer C4. D = {(x, y): y ≥ 2x^2- 5x + 1}        Matching answer A5. E = {(x, y): 16 ≤ x^2+ y^2 ≤ 25}    Matching answer F6. x^2- 3x ≥ 0                                  Matching answer J (the curve should be solid line)7. x^2- 3x + 2 ≤ 0                            Matching answer E8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}    Matching answer B

How to find the matching graph

The graph has some rules for matching them to the equation some of the rules are:

finding the rootsusing solid lineusing broken lineknowing about circlelearning about straight line

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please solve this question step by step​

Answers

Answer:

Step-by-step explanation: The given question is wrong. To be a valid question, there must be "-9" in place of "-7" in the second given matrix.

Which equation represents a line through (4, -6) and (0, 2)?

Answers

Answer: C

Step-by-step explanation: Substitute four and zero in each of the choices and see if the sum becomes negative six and two, respectively. If it does, then the equation represents the line.

Third equation substitution:

x = 4

y = -2(4) + 2

y = -8 + 2

y = -6

x = 0

y = -2(0) + 2

y= 0 + 2

y = 2

Therefore, the answer is C.

Note: I skipped to the third equation because the other equations are false.

Which of the following ordered triples is the solution to the system of equations?

2x − y − z = −1

3x + y − z = 2

x + y − 5z = −8

Answers

Answer:

1,1,2

Step-by-step explanation:

The solution to the given system of equations are:{ x = 1, y = 1, z = 2} which is the corrrect answer would be option (A).

What is an equation?

The equation is defined as a mathematical statement with at least two terms that contain variables or values that are equal.

We have been given the system of equations as:

2x − y − z = −1

3x + y − z = 2

x + y − 5z = −8

Isolate the term of x in the equation 2x − y − z = −1, and we get

x = (- 1 + y +z)/2

Substitute the value of x = (- 1 + y +z)/2 in the above both equations,

3(- 1 + y +z)/2 + y − z = 2

(- 1 + y +z)/2 + y − 5z = −8

Simplify the equation to you get,

(5y + z - 3) / 2 = 2

(3y - 9z - 1) / 2 = -8

Isolate the term of y : (5y + z - 3) / 2 = 2 ⇒ y = (-z +7 )/5

Substitute the value of y = (-z +7 )/5 in the equation (3y - 9z - 1) / 2 = -8

(3(-z +7 )/5 - 9z - 1) / 2 = -8

Simplify the equation to you get,

8(-3z + 1)/d = -8

Isolate the term of z : 8(-3z + 1)/d = -8 ⇒ z = 2

Substitute the value of z = 2 in the equation y = (-z + 7) / 5 to simplify to get

⇒ y = 1

Substitute the values of y = 1 and z = 2 in the equation x = (-1 + y + z) / 2 to simplify to get

⇒ x = 1

The solution to the given system of equations are:

{ x = 1, y = 1, z = 2}

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Find the distance between the two points on the graph.

Answers

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

See attached for details. Basically finding the distance between 2 points requires creating a right angle triangle. And we are looking for the hypotenuse.

The pythagorean theorem is used.

Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square.

100 points and brainliest

Answers

There are some differences in the process of constructing a inscribed square and a hexagon inside a circle.

When constructing a square, we start with a circle. Then draw its diameter through the center of the circle. Now putting compass on end points of this diameter, measuring more than half the length of diameter on the compass, draw 4 arcs above and below the diameter. So we get a perpendicular bisector of the diameter. In total, we get 4 points on the circle. Joining the adjacent points, we get the inscribed square.

When constructing the regular hexagon, start drawing a circle. Put the compass on a point on the circle and measure the radius on it. Now draw an arc on the circle. Putting compass on this new point on the circle draw another arc. Continuing like this, we get a total of  6 arcs giving 6 points on the circle. Join the adjacent points to get an inscribed regular hexagon.

So the differences in constructing the square and the regular hexagon are:

Diameter is used in square whereas radius is enough for the regular hexagonPerpendicular bisector is constructed for square while regular hexagon does not need one.For a square,4 arcs giving 4 points on the circle are needed. But for a regular hexagon 6 arcs giving 6 points are there.

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Which algebraic expression is equivalent to the expression below?

4(4x + 5) + 4(11 - x)

A.
20x + 64
B.
12x + 24
C.
12x - 64
D.
12x + 64

Answers

Answer:

D. 12X + 64

Step-by-step explanation:

4(4x+5)+4(11-x)

4(4x+5)+4(11−x)

4(4x + 5) + 4(11 - x)

1 Expand by distributing terms.

16x+20+4(11-x)

16x+20+4(11−x)

2 Expand by distributing terms.

16x+20+44-4x

16x+20+44−4x

3 Collect like terms.

(16x-4x)+(20+44)

(16x−4x)+(20+44)

4 Simplify.

12x+64

12x+64

Answer:

D. 12x + 64

Step-by-step explanation:

expand the brackets by multiplying:

= 16x + 20 + 44 - 4x

= 12x + 64

brainliest pls :,)

please help question is in the image!

Answers

x1 = 4 x2 = -4

substitute the values into the given equations!!

(4 + (-4)) / 2 = (0 / 2) = 0

y1 = -5 y2 = 5

(-5 + 5) / 2 = (0 / 2) = 0

midpoint = (0, 0)

bold values - box answers :D

a quarry needs to ship a marble block weighing 10000 pounds. if the cost of shipping is 110 per ton, how much will shipping cost?

Answers

The cost of shipping the marble block is 550.

The total weight of the marble block is 10,000 pounds.We need to convert the weight from pounds to tons.Unit conversion is the process of converting various units of measurement for the same amount, often using multiplicative conversion factors that modify the measured quantity value without affecting its effects.1 ton equals 2000 pounds.The total weight of the marble block in tons is 10000/2000.The total weight of the marble block is 5 tons.The cost of shipping is 110 per ton.The total cost of shipping the marble block = 5 * 110.The total cost of shipping the marble block is 550.

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The square below represents one whole. What percent is represented by the shaded area?

Answers

Answer:

29%

Step-by-step explanation:

There are 100 boxes. 29 of them are shaded in, so we can divide that by 100.

29/100=0.29

0.29 is equal to 29%

24-{[16-(8-1)]×2 please answer

Answers

Answer:

4

Step-by-step explanation:

It look like your are missing a bracket.

Do the inner most parentheses first.

24 -(16 -(7))x2

24 - 9 x 2

24 -18

4

Which numbers are a distance of 3 units from 12 on a number line?














Select each correct answer.

Answers

Answer:

9 and 15

Step-by-step explanation:

ans should be 9 and 15

i dun really understand what this qns wants u to find really bad qns to test

work out the value of (3.5 x 10^6) ÷ (5 x 10^-3) give your answer in standard form.

Answers

The standard form of  (3.5 x 10^6) ÷ (5 x 10^-3) is 7*10^8

What is standard form?

Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

Given:

(3.5 x 10^6) ÷ (5 x 10^-3)

On further solving

3.5 * 10^(6 -(-3)) / 5

3.5* 10^9 /5

0.7 * 10^9

7*10^8

Hence, the standard form is 7*10^8.

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Can someone help me

Answers

Answer: well look you can fid live tutors

Step-by-step explanation:

n vcxvbnm

russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one mintue?

Answers

Answer:

1.8 miles

Step-by-step explanation:

WILL GIVE YOU BRAINILEST or however you spell it

BIRDHOUSES Ebony can build 0.7 birdhouse in 1 day. How many birdhouses can she build in 10 weeks?

Answers

Find 10 weeks in days:
1 week = 7 days
10 weeks = 70 days
70 days * 0.7 birdhouses
= 49 birdhouses

Step-by-step explanation:

0.7 birdhouses in 1 day.

how many in 10 weeks ?

for that we need to know how many days are in 10 weeks.

1 week = 7 days

assuming that she is working on the birdhouses also on weekends, that means 10 weeks = 10×7 = 70 days.

and that means she can build

0.7 × 70 = 49 birdhouses in 10 weeks.

now, if she works only Monday to Friday on the birdhouses, then that means

1 week = 5 days

and 10 weeks = 10×5 = 50 days.

and that means she can build

0.7 × 50 = 35 birdhouses in 10 weeks.

if there is really no other information about that, I would use the usual 7 days per week and the first solution (49).

Write 6.42 as a mixed number in simplest form.
6.42=

Answers

Answer:

6 [tex]\frac{21}{50}[/tex]

The figure shows two triangles on a coordinate grid:

What set of transformations is performed on triangle ABC to form triangle A′B′C′? (1 point)

a
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units up

b
A 270 degree counterclockwise rotation about the origin followed by a translation 5 units up

c
A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin

d
A translation 5 units to the left followed by a 270 degree counterclockwise rotation about the origin

Answers

The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is C. A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

What is a translation?

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the coordinate system's origin or as adding a constant vector to each point.

In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°

Therefore, the transformation that is performed on triangle ABC to form triangle A′B′C′ is a translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

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Please help - thanks

Insert parentheses in the appropriate places:

8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25

Answers

Answer:

the answer is 27

Step-by-step explanation:

A shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of all 50 mice is $433, find the number of type A mice displayed. The answers is 31​

Answers

31 Type A
19 Type B

A+B= 50

6a+13b=433

a =31, b=19

laura runs a 100 m race in 20.0 s. what is her time in kiloseconds ? how long is the race in kilometers

Answers

Laura runs for 0.02 kiloseconds

The race is 0.1 kilometers

How to convert to kiloseconds and kilometers ?

The first step is to convert 20 seconds to kiloseconds

= 20/1000

= 0.02 kiloseconds

The next step is to calculate the distance in kilometers

Convert 100 meters to kilometer

= 100/1000

= 0.1 km

Hence the race is 0.1 kilometers

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Write and solve a system of equations for each problem situation. Interpret the solution in terms of context.
Pedro has 97 athlete cards. In his collection, he has 39 more baseball player cards than football player cards. How many of each type of card does Pedro have?

Answers

Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

As given,

Total number of cards=97

Let y=football cards

    x=baseball cards

System of equations are

x + y=97  __(1)

x=y +39    __(2)

Substitute (2) in (1)

y+ 39 +y=97

⇒2y=58

⇒y=29

Substitute y=29 in (2),

x=29 +39

 =68

Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

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Damian is building a display case to hold

75 model cars. The case will have fewer

than 10 shelves, and each shelf will hold

no more than 15 cars. If Damian wants

each shelf to have the same number of

cars, how many shelves should he put in

the display case?

Answers

The answer is 5 Shelfs each with 15 cars.

What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Area = 5/12 m².

For image see the attachment below-

Area of Triangle - A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.

The basic formula to find the area of a triangle is,

Area of triangle = 1/2 (b × h);

where b = base and

          h = height of the triangle.

Now , we have been given that -

Base  =5/3 m

Height  = 1/2 m

Find out area of the triangle .

The area of a  triangle = 1/2 x base  x height

Put the values in formula

area of a  triangle = 1/2 x 5/3 x 1/2

area of a  triangle = (1x5x1)/ (2x3x2)

area of a  triangle = 5/12 m².

Hence,  the area in square meters of the given shape is 5/12 .

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cos x + sin x tan x = sec x

Answers

Answer:

Dear Friend

To prove the given equation

Can someone help me out

Answers

Answer:

I believe its graph 4 (not sure though, you can plug in some values to make sure)

Step-by-step explanation:

Solve the literal equation for x.
13. x + 5y = 2
14. 2x + 5 = 12y + 9

Answers

Answer:

x=2

Step-by-step explanation:

You would use substitution. In which x =-5y +2 and x = 6y+2. -5y + 2 = 6y + 2. So would solve for y value then plug it into the equation to solve x.

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