The solution of the expression as a single power is X²⁹.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.
E = (x⁴)(x¹⁰)/(x³)⁵
Add all the powers of the same base x.
E = (x⁴)(x¹⁰)/(x¹⁵)
E = x⁽⁴⁺¹⁰⁺¹⁵⁾
E = x²⁹
Therefore, the solution of the expression as a single power is X²⁹.
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Simplify. Write the answer using scientific notation.
8(710-3)
A. 56 x 10-3
B. 5.6 *10-2
C. 4.48 x 10-1
Answer:
A. 56×10 -3
Step-by-step explanation:
Just multiply 8 and 7 and number of zeros should remain same.
[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]
What is the length of Line segment A C?
Answer:
12
Step-by-step explanation:
The triangles are similar because they have the same angles.
Make a proportion to solve for AC which we will substitute with variable x.
AM = MB = 4
AB = AM + MB = 8
BN = NC = 3
BC = BN + NC = 6
big triangle sides: 8, 6, x
small triangle sides: 4, 3, 6
now we can write proportion.
8/4 = x/6
x = 12
AC = 12
solving system by substitution
Answer:
The solution of this system is (9, 2).
Step-by-step explanation:
Substitute x - 7 for 'y' in the first equation. We get:
x - 3(x - 7) = 3 Doing this temporarily eliminates the variable 'y'.
Now perform the indicated multiplication, and then combine like terms:
x - 3x + 21 = 3, or
-2x = -18
so that x = 9. Substituting 9 for x in the second equation, we get:
y = 9 - 7, or y = 2.
The solution of this system is (9, 2).
describe how the graph of each function is related to the graph of f(x)=x^2
g(x)= -10 + x^2
Answer:
Translation down 5 units.
Step-by-step explanation:
The - 5 results in a shift of the whole graph down 5 units.
Each value of g(x) is 5 units less f(x).
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))
Answer:
The probability of getting 2 blues is 25/121.
Step-by-step explanation:
There are 6 + 5 marbles in total, 11 marbles.
The chances of picking a blue marble is 5/11.
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.
5/11 * 5/11 = 25/121
The probability of getting 2 blues is 25/121.
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Line p and line q are ______
Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)
Hellpp and thanks!!
Answer:
c = 4n
Step-by-step explanation:
Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence
Answer:
[tex]a_{n}[/tex] = 90 - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
A rectangular room has an area of 12 m².the length of the room is 4m. what is the width of the room?
Answer:
3
Step-by-step explanation:
area of rectangle = length × width
so the the given area is 12
area of rectangle is 12 = 4 × width
so when we multiply 4 × 3 we get 12
and the final answer is ...
area of rectangle = length × width
4× 3 = 12
Find the measure of a central angle of a regular polygon with 10 sides. Round your answer to the nearest tenth of a degree, if necessary.
Answer:
Step-by-step explanation:
36 is the anwser
The measure of the central angle of a regular polygon with 10 sides is 36°.
What is Polygon?Polygon is a two dimensional figure which consists of certain number of line segments to form a closed figure.
Minimum three line segments is needed to form a closed figure, which is the triangle.
Circle is also a closed figure, but is not a polygon because it is note formed by line segments.
Regular polygons are polygons whose all sides are equal.
Sum of all central angles will be a full circle or 360°.
So the measure of central angle of a regular polygon = 360° / N, where N is the total number of sides of the regular polygon.
Here, Number of sides, N = 10
So the central angle = 360° / N
= 360° / 10
= 36°
Hence the central angle of a regular polygon with 10 sides is 36°.
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PLS ANSWER QUICKLY FIRST CORRECT ANSWER GETS BRAINLY
Identify each expression as linear or not linear.
5x + 3 please help me if you do I will pray for you
5x + 3 is a linear equation in one variable
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
Solve for n.
56 = -4n
A: 224
B: -14
C: 60
D: -4
Answer:
-14 = n
Step-by-step explanation:
56 = -4n
Divide each side by -4
56/-4 = -4n/-4
-14 = n
Please help ! What’s the answer ?!!
Answer:
x= 70
Step-by-step explanation:
In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.
142 had investments in stock funds.
84 had investments in bond funds.
67 had investments in money market funds.
50 had investments in stock funds and bond funds.
33 had investments in stock funds and money market funds.
35 had investments in bond funds and money market funds.
21 had investments in stock funds, bond funds, and money market funds.
(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)
(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)
(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)
Answeni ideAA{
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Step-by-step explanation:
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
If chris measured the length of a line segment and rounded his answer to the nearest centimetre and get 6cm what is the accurate statement about the actual meausure be
Answer:
d
Step-by-step explanation:
A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D
to round off to the nearest cm of 6. the value must be between 5.5 and 6.4
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Are you a Republican or Democrat? Why? Just curious to hear others opinions
Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h
convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
I need help with this question
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
In converting 9 inches to yards, what unit (omit the number) would you place
in the numerator of your ratio? Use the plural form in your answer. Remember
that there are 36 inches in 1 yard.
To convert inches to yards you would divide the number of inches by inches per yard.
The numerator would be the inches given and the denominator would be 36
The ratio would be inches / inches per yard.
Numerator = inches
Please help me solve my problem!!!
True
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______________
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Step-by-step explanation:
:)
Hola bro espero y te sirva
What’s the line of y= -1/2x+2
Answer:
A picture of the graph is attached
Step-by-step explanation:
Jorja collected the following number of seashells for the last nine trips to the beach : 5, 11, 7, 12, 13, 17, 3, 15, 14 Provide a five - number summary for the values.
Answer:
min: 3
Q1: 6
median: 12
Q3: 14.5
max: 17
Step-by-step explanation:
Put values in order of least to greatest value. Leftmost number is the minimum; rightmost number is the maximum. Middle number is the median (cross out values, alternating crossing out least and greatest values until 1 value is left). Find the median of the values to the left and right of the median; those are Q1 and Q3 respectively.
Seating reads 1/12 part of a book in a day. If there are 360 pages in a book, how many pages does swati read in a day?
Given:
Total number of pages in a book = 360 pages
Fraction of pages Swati reads = [tex]\frac{1}{12}[/tex]
To find:
Number of pages Swati reads in a day
Steps:
Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.
[tex]=360 * \frac{1}{12}[/tex]
[tex]= \frac{360 * 1}{12}[/tex]
[tex]=\frac{360}{12}[/tex]
[tex]=\frac{180}{6}[/tex]
[tex]=\frac{90}{3}[/tex]
[tex]=\frac{30}{1}[/tex]
= 30
Therefore, Swati reads 30 pages of the 360 pages per day.
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Solve for j
-1/3 = j/4 - 10/3