Answer:
the answers is 6x 10 4
Step-by-step explanation:
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
We have been given an expression as
6 x 10 x 10 x 10 x 10
Here we can see the base 10 multiplied by itself 4 times.
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
Learn more about exponentiation here:
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Factorise
a) 2ax + 6ay
Answer:
2a(x + 3y)
Step-by-step explanation:
2ax + 6ay
factor out a 2a
2a(x + 3y)
The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?
Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15
3/4 x - 1/2 - 4 = 12
Answer: x=22
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 9/2 to both sides.
Step 3: Multiply both sides by 4/3.
y=-4x - 8
6x + 2y=-10
I need the equation solved by substitution
Please show work :)
Answer:
x =1.28571428571
Step-by-step explanation:
6x + 2y = -10
y = -4x - 8
6x + 2(4x - 8) = -10
6x + 8x - 8 = -10
14x - 8 = 10
(we put together the like terms)
14x = 10 + 8
14x = 18
x = [tex]\frac{18}{14}[/tex]
x = 1.28571428571
The following data points represent the volume of gas in each race car driver's tank (in liters). Sort the data from least to greatest. Find the interquartile range (IQR) of the data set. \text{L}Lstart text, L, end text \text{L}Lstart text, L, end text
Answer:
its \text{L}Lstart text, L, end text
Step-by-step explanation:
The sorting of the dataset and the information from the five number summary, which includes the three quartiles and the minimum and maximum values indicates that we get;
1. 2.8, 4, 4.3, 6, 7.5, 8.5, 9, 11.6, 12, 12.1
2. The interquartile range is; 7.745
What is the five number summary of interquartile range of a data set?The five number summary includes the first, second and third quartiles, Q₁, Q₂, and Q₃, and maximum and minimum values of the dataset, which serves to describe the characteristics of the data.
here, we have,
1. The sorted data from least to greatest can be presented as follows;
2.8, 4, 4.3, 6, 7.5, 8.5, 9, 11.6, 12, 12.1
Therefore, the original data in the question is already sorted from least to the greatest
2. The interquartile range, IQR, is the the difference between the third quartile, Q₃, and the first quartiles, Q₁, of the data.
IQR = Q₃ - Q₁
The dataset indicates that we get;
The number of datapoints in the dataset, n = 10
The first quartile = The (N + 1)/4 percentile value
First quartile, Q₁ = (10 + 1)/4 × 10 = The 2.75th value
The 2.75th value is the value 0.75 = 3/4 larger than the 2nd value, which can be found as follows;
Q₁ = The 2.75th value = 4 + (4.3 - 4) × (3/4) = 4.225
The third quartile, Q₃ = The (N + 1) × (3/40th value, therefore;
Q₃ = The (10 + 1) × (3/4)th value = The 8.25th value (The value 0.25th more than the 8th value )
Q₃ = 11.6 + (12 - 11.6) × 0.25 = 11.7
The interquartile range, IQR = 11.7 - 4.225 = 7.475
The interquartile range = 7.475
Learn more on the interquartile range of a dataset here: brainly.com/question/13119591
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Complete question:
The following data points represent the volume of gas in each race car driver's tank (in liters).
Answer 2 questions about the data set.
1. Sort the data from least to greatest.
2.8
4
4.3
6
7.5
8.5
9
11.6
12
12.1
2. Find the interquartile range (IQR) of the data set.
L
27x + 45y and 7(9x + 7y) are these equivalent?
Answer:
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
[tex]27x+45y[/tex]
Since there aren't any like terms here, your answer would be
[tex]27x+45y[/tex]
Let's solve for next one.
[tex]7(9x+7y)[/tex]
Let's add in parenthesis to 7.
[tex](7)(9x+7y)[/tex]
Now we will separate everything. And also you will have to add.
[tex](7)(9x)+(7)(7y)[/tex]
Now that we added we got our answer.
[tex]63x+49y[/tex]
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
Since there aren't any like terms here, your answer would be
Let's solve for next one.
Let's add in parenthesis to 7.
Now we will separate everything. And also you will have to add.
Now that we added we got our answer.
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
Read more on Brainly.com - https://brainly.com/question/17379473#readmore
Find the factors of the following numbers.
a) 15
b) 22
c) 34
d) 45
e) 50
Answer:
1,3,5,15
1,2,11,22
1,2,17,34
1,3,5,9,15,45
1,2,5,10,25,50
Step-by-step explanation:
Hope it will help u
One year, Mr James travels 8 x 10^3 miles for his job. The next year he traveled 1 x 10^4 miles. How many more miles did he travel the second year than he did the first year? Please give me the answer and explain ToT
Answer:
2 000 miles
Step-by-step explanation:
In the first year, Mr James travels 8 x [tex]10^{3}[/tex] miles = 8 000 miles.
The second year, he traveled 1 x [tex]10^{4}[/tex] miles = 10 000 miles.
Comparing the distance covered in the two years,
10 000 miles - 8 000 miles = 2 000 miles
Therefore, Mr James travels 2 000 more miles in the second year than he did the first year.
Let's assume that Mr James conveys himself to his place of work all through the first year in his private car. But in the second year, there were some days in which the car was not available. So he had to go for his job by public transportation. This itch during those days, could cause an increase in the distance covered from his home to his place of work for the second year.
Simplify the expression: z8 * z-3
Answer:
z^5
Step-by-step explanation:
z^8 * z^-3
Since we are multiplying exponents and the bases are the same, we can add the exponents
z^(8-3)
z^5
Which expression has the same value as -18-(-9)?
0 - 18+2
-12-(-3)
- 1945
O-8-(-4)
Answer:
the answer is -12-(-3)
Step-by-step explanation:
The expression equivalent to -18-(-9) is -12-(-3)
What are expressions?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given is an expression, -18-(-9), we are given to find the expression equivalent to it,
-18-(-9) = -18+9 = -9
1) -18+2 = -16 (not equivalent)
2) -12-(-3) = -12+3 = -9
Therefore, we see, the value of expressions -12-(-3) and -18-(-9) are equivalent,
Hence, the expression equivalent to -18-(-9) is -12-(-3)
For more references on expressions, click;
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Jacki evaluated the expression below. 2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32. What was Jacki’s error? Jacki should have simplified the exponent first. Jacki should have multiplied 4 and 8 first. Jacki did not subtract 12 from 8 correctly. Jacki should not have multiplied
Answer:
jacki did not subtract 8 minus 12 properly.8 minus 12 equals -4
Answer:
its c
Step-by-step explanation:
on edunuity
Simple geometry equation
Answer:
106 or 4x+18
Step-by-step explanation:
Since Ray QR is a bisector you can determine that PRQ and QRS are equal angles (def. of a bisector). Then, what I chose to do is graph them and find where they intercept which was 22. We now know 22 is x so we can substitute it into the equation and solve to deterine that our answer is 106.
What is the smallest positive number that is prime and 10 less than a perfect square?
Answer:
The problem states that the answer cannot be a perfect square or have prime factors less than $50$. Therefore, the answer will be the product of at least two different primes greater than $50$. The two smallest primes greater than $50$ are $53$ and $59$. Multiplying these two primes, we obtain the number $3127$, which is also the smallest number on the list of answer choices. So we are done, and the answer is $\boxed{\textbf{(A)}\ 3127}$.
Step-by-step explanation:
Answer:
71
Step-by-step explanation:
I just did the AOPS question, you can see the attachment down below.
Hope this helped! :)
This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?
Answer:
8
Step-by-step explanation:
Juan pays $15 per hour to rent a paddle boat. He can rent a wetsuit for $5 a day. What amount will he pay if he rents the paddle boat for 6 hours
Answer:
90
Step-by-step explanation:
15*6=90...
if f(x)=4-3x*2 then f(-2) is
Answer:
16
Step-by-step explanation:
f(-2)=4-3(-2)*2
f(-2)=4-3(-4)
f(-2)=4+12
f(-2)=16
Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base membership fee, plus they charge a rate per class. The two graphs show the cost for taking online classes through the two websites. A graph titled Cost to Take Classes at LearnCenter has number of classes on the x-axis and cost in dollars on the y-axis. A line goes through points (0, 50) and (1, 70). A graph titled Cost to Take Classes at EduWorld has number of classes on the x-axis and cost in dollars on the y-axis. A line goes through points (0, 20) and (1, 60).
Answer:
B-LearnCenter charges a higher membership fee but a lower rate per class.
Step-by-step explanation:
Answer:B-learning for ever
Step-by-step explanation:
Let n be a whole number, and consider the statements below. p: n is a multiple of two. q: n is an even number. Which of the following is equivalent to ~q → ~p? A. ~q → ~p B. q → p C. p → q D. ~p →~
Answer:
C. p -> q
Step-by-step explanation:
Just did this on Edge2020. Hope this helps :)
meaning of cube root
Answer:
The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. See: Square Root. Cubes and Cube Roots.
How much of the circle is shaded? simply your answer
Answer:
The part that is shaded is 5/14
Step-by-step explanation:
The total circle is 1
1/2 + 1/7 + x = 1 where x is the shaded area
Multiply each side by 14 to get rid of the fractions
14(1/2 + 1/7 + x) = 1*14
7 + 2 + 14x = 14
9+14x = 14
Subtract 9 from each side
14x = 5
Divide by 14
x = 5/14
The part that is shaded is 5/14
Identify the error in each problem. Explain each error and provide the correction solution. Use at least two complete sentences. PLEASE SOMEONE HELP QUICK ITS DUE TOMORROW AND I WILL MARK YOU BRAINLIEST
Answer:
the mistake is the addition sign. When a number is next to a parenthesis it means multiplication
i need help its urgent its due today geometry
help please will mark brainliest
Answer:
i can't see that
Step-by-step explanation:
plzz sent me a clear photo
Answer:
1. 1
2. 1 ⋅ 10 ^24
3. 1000000000
4. 1
5. 1 ⋅ 10 ^20
6. 1 ⋅ 10 ^30
7. 1 ⋅ 10 ^27
8. 10000
9. 0.01
10. 0.0001
11. 0.1
Hopefully these are right, I simplified all of the problems...sorry if they are wrong
Step-by-step explanation:
Use the table to complete the work to find the missing value. Conversion Chart Pints Ounces 3 48 7 ? 30 480 3 pints 48 ounces 11 pints ? ounces How many ounces are in 11 pints? o 144 o160 o 176 o 192
Answer:
176 ounces (C)
Step-by-step explanation:
if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..
also i got it right on edge :P
Answer: 176
Step-by-step explanation:
I REALLY NEED HELP PLEASE HELP ME
Answer:
52^8
Step-by-step explanation:
26^8 = 208827064576 + 26
find 3+root 2/3-root 2=a+b root2
Answer:
a = [tex]\frac{11}{7}[/tex] ; b = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} } = a + b\sqrt{2} \\\\[/tex]
Rationalising [tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} }[/tex] gives :-
[tex]\frac{3 + \sqrt{2}}{3 - \sqrt{2} } = \frac{(3 + \sqrt{2})(3 + \sqrt{2})}{(3 - \sqrt{2})(3 + \sqrt{2}) } = \frac{(3 + \sqrt{2})^2}{3^2 - (\sqrt{2})^2 } = \frac{11 +6\sqrt{2} }{7}[/tex]
Comparing [tex]\frac{11 + 6\sqrt{2} }{7}[/tex] with [tex]a + b\sqrt{2}[/tex] gives
a = [tex]\frac{11}{7}[/tex] & b = [tex]\frac{6}{7}[/tex]
Answer:
[tex]\frac{11}{7}[/tex] + [tex]\frac{6}{7}[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3+\sqrt{2} }{3-\sqrt{2} }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of 3 - [tex]\sqrt{2}[/tex] is 3 + [tex]\sqrt{2}[/tex] , thus
= [tex]\frac{(3+\sqrt{2})(3+\sqrt{2}) }{(3-\sqrt{2})(3+\sqrt{2}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{9+6\sqrt{2}+2 }{9-2}[/tex]
= [tex]\frac{11+6\sqrt{2} }{7}[/tex]
= [tex]\frac{11}{7}[/tex] + [tex]\frac{6}{7}[/tex] [tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = [tex]\frac{11}{7}[/tex] and b = [tex]\frac{6}{7}[/tex]
What is the solution to this equation?
X-9 = 17
O A. x = 28
O B. x = 12
O c. x = 8
O D. x = 26
Answer:
Step-by-step explanation:
x - 9 = 17
x = 26
the answer is D
You borrow $350 from your aunt and agree to repay her $400 ($350 principal + $50 interest) in 18 months. What interest rate (using simple interest, and to the nearest tenth) are you paying?
Answer:
The interest rate is 0.79% per month.
Step-by-step explanation:
Present value of borrowed amount = $350
Future value of borrowed amount = $400
Interest amount = $50
Time duration = 18 months or 1.5 years
Now we have to find the rate of interest by using the above information. Here below is the calculation of interest rate.
Interest rate = P×R×T
50 = 350 × R×18
R = 0.007936
Or, R = 0.79% per month.
NEED HELP ASAP
given m||n find the value of x
The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
This means that [tex]6x-8=5x+14[/tex]
[tex]x=22[/tex]
Hope this helps. 頑張って!
Anyone can help me?
Answer:
see the work pictured please