How many times larger is 7.785 x 10^10 than 1.5 x 10^8?
05.19
19.3
193
519

Answers

Answer 1

Answer:

  (d)  519

Step-by-step explanation:

You want the ratio of (7.785×10^10) to (1.5×10^8) expressed in standard form.

Division

Since you want the result in standard form, it can work well to make the numerator and denominator powers of ten be the same.

  [tex]\dfrac{7.785\times10^{10}}{1.5\times10^8}=\dfrac{7785\times10^7}{15\times10^7}=\dfrac{7785}{15}=\boxed{519}[/tex]


Related Questions

Which of the following choices shows the standard form of the equation below?
y= -3/2x +5
A) 3x+2y=10
B) 3x-2y=10
C) -2y-3x=26
D) 3x+2y=26

Answers

Answer:

A

Step-by-step explanation:

y=3/2x+5

2(y+3/2x)=5(2)

2y+3x=10

​ a(1)=−2 a(n)=a(n−1)−5 ​

Answers

Answer:

What do I solve for?

Step-by-step explanation:

Maysa made an error in her work on the following problem. 3 .5 − 2 . 46 = 1 . 16 Describe Maysa's error. Explain how you would use a model or place-value concepts to help Maysa build understanding. Give the correct answer in your explanation.

Answers

The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.

The correct equation is as follows;

3.5 - 2.46 = 1.04

Which method can be used to find the correct value to the equation?

The given equation that has an error is presented as follows;

3.5 - 2.46 = 1.16

The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.

The correct process for the subtraction is presented as follows;

3.5¹0

- 2.46

1.04

Therefore;

3.5 - 2.46 = 1.04

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2. Create a sequence to fit the given criteria. Describe your
sequence using figures, words, or numbers. Provide the first
four terms of the sequence. Explain how you know that it is
a sequence.
a. Create a sequence that begins with a positive integer, is
decreasing by multiplication, and is finite.



Need help quick please

Answers

A geometric sequence with first term 16 and common ratio 0.5, with 10 terms, satisfies the requirements for this problem, and the first four terms are:

16, 8, 4, 2.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For this problem, we have that:

Sequence begins with a positive integer, hence the first term is 16. (chosen value, any positive integer suffices).The sequence is decreasing by multiplication, hence q > 0 and q < 1, q = 0.5 is a possible value and the sequence is geometric.A finite number of terms, we chose 10.

Each term is the previous term multiplied by 0.5, hence the first four terms are:

16, 8, 4, 2.

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please help need asap

Answers

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

What is 9 divided 2.43

Answers

answer : 3.70

explanation: 9 divided by 2.43. To divide decimal numbers we need to remove the decimal point.

Evaluate if k=3

K^2 + 5 =

Answers

Answer:

k2+5=?

3²+5=?

9+5=14......

Determine if the statement is true or false. If it is false, explain what must be changed in the statement to make it true. If it is true, explain why you believe it to be true.

 The common difference for the geometric sequence given by 1, -1, -3, -5, -7… is 2.

Answers

The statement is false and the changes to make the statement true are:

Change the sequence type to arithmetic sequenceChange the common difference to -2

How to determine if the statement is true or false?

The statement is given as:

The common difference for the geometric sequence given by 1, -1, -3, -5, -7… is 2.

The above statement is false because of the following reasons:

The sequence is an arithmetic sequence (not a geometric sequence)The common difference for the sequence is -2 not 2 i.e.. -1 - 1 = -2

Hence, the statement is false and the changes to make the statement true are:

Change the sequence type to arithmetic sequenceChange the common difference to -2

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What is the coefficient of the third term in this expression?
8-3n+ 10m + 4k

Answers

1 that’s the answer I ain’t playing fr 7+8=19

Is 21.337 greater or less than 21.31

Answers

Answer: greater than

Step-by-step explanation:because 21.337 [tex]\leq[/tex] 21.310 or 21.31

Answer:

Yes, because 21.337 rounded down is 21.34, and that is larger than 21.31

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

PLS HELP IMMA DIE


Jafari and adana are giving their dog a bath. The label on the shampoo bottle recommends a ratio of 1/6 of shampoo to water. what percent of the bath needs to be shampoo?

Answers

The percent of the bath needs to be shampoo will be 16.67%.

How to calculate the percentage?

From the information, Jafari and adana are giving their dog a bath and the label on the shampoo bottle recommends a ratio of 1/6 of shampoo to water

The percent of the bath needs to be shampoo will be:

= 1/6 × 100

= 16.67%

Therefore, the percent of the bath needs to be shampoo will be 16.67%.

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Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) (Round your answers to seven decimal places.) f(x)=x^2/8; a = 1

Answers

The average rate of change of the given function f over the intervals-

f(x) = x²/8 ; x=a=1

the average rate of change of f(x) over the time interval [a, a + h] is

rc= [f(a +h) - f(a) ] / [(a +h)-a] = [(a +h)²/8 - a²/8] /h = 1/h [ (a²/8 +a*h/4+ h²/8) - a²/8]

= a /4+ h/8

then

rc= a/4+ h/8

for x=a=1 and h=1

rc= 1/4 + 1/8 = 0.375

for a=1 and h=0.1

rc= 1/4 + 0.1/8 = 0.2625

for a=1 and h=0.01

rc= 1 /4+ 0.01/8 = 0.25125

for a=1 and h=0.001

rc= 1/4 + 0.001/8 = 0.250125

for a=1 and h=0.0001

rc= 1 /4+ 0.0001/8 = 0.2500125

when h goes smaller , the average rate of change gets closer to the instantaneous rate of change of f(x) in x=a=1 (the derivative of f in a=1) , that is

f'(x) = x

then

f'(a) = a

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A group of 25 students participated in a science competition. Their scores are below.
Score (points) 30-39 40-49 50-59 60-69 70-79
Number of Students
5
7
6
4
3
Would a dot plot or a histogram best represent the data presented here? Why?
O Histogram, because a large number of scores are reported as ranges
O Histogram, because a small number of scores are reported individually
O Dot plot, because a large number of scores are reported as ranges
O Dot plot, because a small number of scores are reported individually

Answers

The best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "

Histogram is the graphical representation of distribution of numerical data. The  histogram look like a bar graph in appearance, but the frequency of numerical data using rectangles.

In histogram the range is the width of the rectangular bar along the x-axis. The range in the histogram is an approximate value.

In the given data, there are large number of scores are reported. So the given data will be represented in histogram. Therefore correct option is option A "Histogram, because a large number of scores are reported as ranges

Hence, the best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "

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the total of the square of a number n and the difference between seventeen and the square of the number

Answers

Answer:

Step-by-step explanation:

n²+(17-n²)=n²+17-n²=17

Answer: n²+(17-n²)=n²+17-n²=17

Step-by-step explanation:

Which number line shows the solution the inequality

Answers

The correct answer would be c explanation:

A parachutist's rate during a free fall reaches 70 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 2 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

The rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

What do we mean by speed?The definition of speed is The rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.

So, let's assume that y70m/s is the terminal velocity.

As 1 meter = 3.3 feetThen, 70 meters = 70 × 3.3 = 231 ft/secParachutist will fall at what rate in 2 seconds: 462 ft/sec

Therefore, the rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

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Using long division what is the quotient of this expression

3x^4-2x^3-x-4
———————-
X^2+2

Answers

3x² - 2x -6 is quotient in polynomial after long division .

What in mathematics is a polynomial?

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

[tex]\frac{3x^{4} - 2x^{3} - x - 4 }{x^{2} + 2}[/tex]  

after long division we get quotient -  3x² - 2x -6 .

Divide using long division: standard [tex]3x^{2} + \frac{3x + 8 }{x^{2} + 2} - 2x - 6[/tex]

quotient - 3x² - 2x -6

remainder - 3x + 8

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Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Juliana is taking out an $8,700, 3-year loan with an APR of 2.31%. What will be the monthly payment for this loan? Round to the nearest cent.

Answers

Answer: $250.37

Step-by-step explanation: no clue teacher told me because she doesn't know

Which of the following shows the correct solution steps and solution to
7x-4--18?
O A.
7x-4 =-18
7x-4-4 = -18-4
7x = −14
7x
-14
7
7
=
-
x = -2

Answers

The solution for the equation 7x-4 = -18 is x = -2

The equation given is, 7x - 4 = -18.

We will try to solve this equation using elimination method in the following steps.

7x-4= -18

⇒ 7x-4+4 = -18+4

⇒7x = -14

⇒7x/7 = -14/7

x = -2 is the solution for the given equation.

In the first step, we added 4 on both sides to eliminate -4 on the left side.

In the next step, we divided the both sides by 7 to eliminate the 7 on the left side. Finally, we got the solution as x = -2.

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The right triangle drawn on the road sign is 10 inches high. If the base of the right triangle is 5 inches, what is the
area of the right triangle formed in the sign?
O 48 sq.in.
O 64 sq.in.
O 25 sq.in.
O 36 sq.in.

Answers

25 sq.in.

The area formula for the triangle is 1/2 b•h
1/2 divided by 5 is 2.5
2.5 x 10 is 25.

Answer:

25 sq.in.

The area formula for the triangle is 1/2 b•h

1/2 divided by 5 is 2.5

2.5 x 10 is 25.

Step-by-step explanation:

suppose there are only two weather states: sunny and raining. If
today is sunny, the probability of raining for tomorrow is 0.6. If today is raining, the
probability of sunny for tomorrow is 0.7. Based on climatic records, during a year of 365
2
days, the number of sunny days is 265 days on average, and the remaining days are raining.
Please do the following
(1) What is the probability of sunny for tomorrow given today is sunny?
(2) What is the probability of raining for tomorrow given today is raining?
(3) Given today is sunny, what is the probability that yesterday is sunny as well?

Answers

Imagine there are only two possible weather conditions: sunny and rainy. If it's sunny today, there is a 0.6 percent probability it will rain tomorrow. If it rains today, there is a 0.7 percent probability that it will be sunny tomorrow. Based on climatic records, during a year of 365 2 days, the number of sunny days is 265 days on average, and the remaining days are raining.

Please do the following

(1) Given that today is sunny, what is the probability that tomorrow will be sunny?

(2) Given that it is raining today, what is the probability that it will rain tomorrow?

1. The probability of sunny for tomorrow given today is sunny is 0.4.

2. the probability of raining for tomorrow given today is raining is 0.3

Given that

If it's sunny today, there is a 0.6 percent probability it will rain tomorrow.

If it rains today, there is a 0.7 percent probability that it will be sunny tomorrow.

A year of 365 days, the number of sunny days is 265 days on average, and the remaining days are raining that are 100.

1. The probability of sunny for tomorrow given today is sunny is

1-0.6=0.4

2. the probability of raining for tomorrow given today is raining is

1-0.7=0.3

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given g(x) = -x - 4, find g(-2)

Answers

Answer: -2

Step-by-step explanation:

[tex]g(x) = g(-2) = -(-2)-4=2-4=-2[/tex]

What is the reciprocal of -2/3
A. -3/2
B. -2/3
C. 1/3
D. 1/2​

Answers

The reciprocal of -2/3 is 3/2
I guess it’s A

South Beach Middle School has 1,272 total students. The students are
Divided into equal classes of 24 students each. How many classes are
There in all?

Answers

There are 53 classes in South Beach middle school

How to calculate the number of classes in the school ?

South beach middle school has 1,272 students

The students are divided into equal classes of 24 students each

Therefore the number of classes can be calculated by dividing the total population of the students in the school by 24

= 1272/24

= 58

Hence there are 58 classes in the school

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Find exact value of 6 trigonometric functions of angle 11pi/3

Answers

Answer:

sin 11pi/3 = - root3/2

cos 11pi/3 = 1/2

tan 11pi/3 = - root3

csc11pi/3 =-2root3/3

sec11pi/3= 2

cot11pi/3 = -root3/3

see image

Step-by-step explanation:

This is a question that you should use the Unit Circle to find the answers. Unit Circle looks like a horrible math nightmare pizza, but it is really a great big giant Answer Key. It has all the trig answers on it.

First, change 11pi/3 to an angle that IS on the Unit Circle. See image for three ways to change 11pi/3 to an equivalent (on the UnitCircle) angle 5pi/3.

Then, since the Unit circle is the Answer Key. Use the x and y given, in the form (x, y) to find all 6 trig values.

Memorize for this type of question:

sin = y (they both have that long i sound)

cos = x

tan = y/x

csc (flip over sin) = 1/y

sec = 1/x (flip cos)

cot = x/y (flip tan)

Also, to make things hairier, you have to know how to rationalize the denominator. This just means you canNOT leave a sqrt symbol on the bottom of a fraction.

And unfortunately, if you never learned how to manipulate a fraction over a fraction, you will have to do that too. Use Keep-Change-Flip. That makes it super do-able. See image.

Given the function: f(x) = 2x³-3/2x, find f(-4).

Answers

I hope it helps, when you have to do this kind of problems just plug the -4 into any x’s and you’ll get your answer

Use the inverse of the coefficient matrix to solve the system of equations.
x+2y+3z = 11
2x+3y+4z = -10
−x−4y−8z = −66

Answers

Answer:

  (x, y, z) = (-62, 50, -9)

Step-by-step explanation:

You want the solution to this system of equations using the inverse of the coefficient matrix.

  x+2y+3z = 11

  2x+3y+4z = -10

  −x−4y−8z = −66

Inverse matrix

The inverse of the coefficient matrix is the transpose of the cofactor matrix, divided by the determinant. There are some shortcuts that can be used to make the computation easier. Easiest is letting a calculator find the matrix inverse. (See the first attachment.)

Solution

The solution to the set of equations is the product of the inverse matrix and the constant vector on the right of the equal signs. That, too, can be found using a calculator. (See the second attachment.)

The solution is (x, y, z) = (-62, 50, -9).

The diagram shows three vertical poles X, Y and Z. Calculate the distance between Pole X Pole Z.​

Answers

Using the Pythagorean Theorem, the distance between Pole X and Pole Z is of 15.3 m.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

The first part of the distance is the hypotenuse of a right triangle of sides 0.5 and 2.5, tracing a right triangle at the top of pole X and tracing it to segment Y, hence:

df² = 0.5² + 2.5²

df = sqrt(0.5² + 2.5²)

df = 2.55m.

For the second part, we apply equivalent triangles, as we can also trace a right triangle at the top of segment Y to segment Z, hence:

0.5/2.5 = df/ds

1/5 = 2.55/ds

ds = 2.55 x 5 = 12.75m

Then the total distance is:

2.55 + 12.75 = 15.3 m.

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(URGENT) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

Answers

The value of angle 3 is 127 degrees.

How to find angles formed by parallel lines?

Parallel lines are those lines that are equidistant from each other and never meet.

Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.

The line a and m are parallel lines.

The parallel lines are cut by a transversal y.

The angles formed are 1, 2, 3, 4, 5, 6, 7, 127 degrees etc.

This angles are related by alternate rule or corresponding rule.

Therefore,

∠3 is an alternate angle to 127 degrees.

Hence, alternate angles are congruent.

Therefore,

∠3 = 127 degrees.

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Simplify and determine the coefficient of (- 2/3 x)(3y)(-2x).
4
-4
1/3
1

Answers

Answer:

Welcome to Gboard clipboard, any text you copy will be saved here. Welcome to Gboard clipboard, any text you copy will be saved here.

Step-by-step explanation:

A

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