The diameter of the solar system is about 300,000,000,000,000 kilometers,
which can be written as 3 x 100 kilometers. What is n?
Answers
Answer:
D. 14.
Step-by-step explanation:
As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!
Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.
Related Questions
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answers
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ5
The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Plz help me answer this
Answers
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
Substitute in x: 13(y + 6) - 6y = 22Distribute 13: 13y + 78 - 6y = 22Combine like terms: 7y + 78 = 22Isolate y term: 7y = -56Isolate y: y = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.
How many inches did her plant grow?
Answers
Answer:
The plant grew 9 more inches since last year.
Step-by-step explanation:
75% of 12 is 9 and the initial plant growth was 12 inches.
So, the plant grew 9 more inches since last year.
The plant is now 21 inches.
Answer:
9
Step-by-step explanation:
Divide 12 by 4 to get 25% = 3
25% x 3 = 75%
3 x 3 = 9
helppp
algebraaaaa what is sum of polynomials
Answers
Answer:
3x^2+6x+4
Step-by-step explanation:
6x+7+x^2+2x^2-3
3x^2+(7-3)+6x
3x^2+6x+4
A(x) = 2 (3x - 2)(x - 5)
Answers
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answers
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
can some one help me on this and thank u
Answers
Answer:
2<x<3
Step-by-step explanation:
the first one
Identify the correct definition of the term. Angle
Answers
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
50.2 x 1 10² tenths equal?
Answers
Answer:
607,420
Step-by-step explanation:
hope it is correct and helps
A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion
Answers
Answer:
c) t-test of population mean
Explanation:
The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.
Example we compare our test variable to the hypothesized mean value $75 above.
The t test is used instead of z score when standard deviation is unknown.
Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.
A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.
Answers
Answer:
I think its 5 feet
Step-by-step explanation:
I used Pythagorean theorem
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
Answers
Answer/Step-by-step explanation:
✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.
✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.
From the graph, when y = 12, x = 16.
This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.
Therefore:
If the plants grew 12 mm one season, 16 cm rainfall fell.
88 x 88/22 x 11 x 11
Answers
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
Write the following in standard form.
Answers
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answers
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
if you are sitting in a room with ten people and 39% of them leave how many people would be left?
Answers
Answer:
69
Step-by-step explanation:
yes
Answer:
Step-by-step explanation
4-6 people left in the room
✨✨Hope it helps✨✨
Brainliest?.
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answers
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answers
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A
Answers
I’ll name brainliest✨
Answers
Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
Find the height of a triangle with a base of 4 1/4 cm and an area of 5 5/16 cm squared
Answers
Answer:
hb=2.5
Step-by-step explanation:
base = 4
area = 5
Convert 3 2/7 into improper fractions
21/7
23/7
41/7
None of the above
Answers
The correct answer is B.
Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.
Workspace:
3 * 7
=21
21 + 2
=23/7
IF YOU ANSWER THE QUESTION IN THE LINK OF BRAINLY i WILL DO AN ESSAY FOR YOU!!!!!!!!!!!!! PLEASE AN ALGEBRA QUESTION IN EXCHANGE FOR SOMETHING YOU WANT JUST PLEASE ANSWER!!!!
Here's the link check it out!!! IT WAS DUE A WEEKZZ AGOOO
https://brainly.com/question/19688340
DONT ANSWER THIS QUESTION ONLY THE LINK!!
Answers
Answer:
Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.
How long will it be from December 18 from 8:25 am to December 24 to 4.30 pm
Answers
Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method
Answers
Answer:
Anna has $1460
Betty has $1060
Step-by-step explanation:
let Anna's money be x
and Betty's money be y
If Anna gave Betty $200, then they would have the same amount of money
Anna's money will reduce by 200
x=x-200
Betty's money will increase by 200
y= y+200
if they have the same amount of money, the difference will be zero
x-200=y+200
x-200-y-200=0
x-y-400=0
x-y=400--------------1
this means that Anna has $400 more than Betty
if Betty gave Anna $220, Anna would then have twice as much as Betty.
Betty's money will reduce by 220
y=y-220
Anna's money will increase by 220
x=x+220
Anna's money will double that of Betty's
x+220=2(y-220)
x+220= 2y-440
x=2y-440-220
x=2y-660--------------------2
put x= 2y-660 in eqn 1
(2y-660)-y=400-------------------------1
2y-y=400+660
y= 1060
so Betty has $1060
put y= 1060 in eqn 1
x-y=400
x-1060=400
x=400+1060
x=1460
so Anna has $1460
7(2 - 3x) - 10
Simplify expressions
Answers
Answer:
4-21x
Step-by-step explanation:
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answers
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
3. The triangles are similar. Find the value of x.
Answers
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
Apparently, I'm putting in a phrase that hurts Brainly's feelings. So I'm gonna put in a picture instead : )
Answers
Answer:
11
Step-by-step explanation:
Because you put the four into the equation like this: f(x)= 2(4)+3
And 2 times 4 equals 8
And 8 plus 3 equals 11
Have a great day!
If y by itself what does that means?
Answers
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]