Answer:
A.
Step-by-step explanation:
Rule:
When 2 or more exponents divide, they subtract.
Divide using the rule:
[tex] {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} [/tex]
B, C, and D are incorrect.
A is the correct option.
[tex]( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} [/tex]
If m(x) = X-7 and n(x)= 1/x+7, find the function value, if possible.
(m . n)(7)
A. Undefined
B. 1
C. 0
D. -1
The function value of (m × n)(7) is: C. 0.
How do we Find a Function Value?To find the value of a function, plug in the given value of x and simplify.
Given:
m(x) = x - 7
n(x) = 1/x + 7
Find (m × n)(7)
(m × n)(7) = (x - 7)(1/x + 7)
Plug in x = 7
(m × n)(7) = (7 - 7)(1/7 + 7)
(m × n)(7) = (0)(1/7 + 7)
(m × n)(7) = 0
Therefore, the function value of (m × n)(7) is: C. 0.
Learn more about function value on:
https://brainly.com/question/2284360
There are 100 bolts in 5 bookcases.
What is the unit rate in bolts per bookcase?
2 bolts per bookcase
20 bolts per bookcase
50 bolts per bookcase
o 200 bolts per bookcase
The median age for U.S. blacks currently is 30.9 years; for U.S. whites it is 42.3 years.
a. Based upon this information, give two reasons why the black median age could be lower than the white median age.
b. Does the lower median age for blacks necessarily mean that blacks die younger than whites? Why or why not?
c. How might it be possible for blacks and whites to die at approximately the same age, but for the median age for whites to be higher?
Answer:
A
Step-by-step explanation:
I need help thank you
Answer:
13 inches, 11 + t inches.
Step-by-step explanation:
1 hour 1 inch, so after 2 hours, the snow is 11 + 1*2 = 13 (inches).
After t hours, the snow is 11 + 1*t = 11 + t (inches).
how do i find the formula for the nth term of the sequence 2/5, 3/4, 4/3, 5/2,... ?
Answer:
ok so first we have to find out how much each one increaces so llets just subtract the terms
3/4-2/5=0.35 so each time they add 0.35 so the nth term would be
2/5+0.35(n-1)
Hope This Helps!!!
Find the sample standard deviation and the population standard deviation of the data set.
42, 49, 22, 36, 62, 23, 54, 23, 24, 22,30, 23, 60, 49, 52
Answer:
Step-by-step explanation:
14.65 or 14.7
Hope this helps!
6y - (3y - 6 ) = 5y - 4
Answer: y = 5
You want to isolate the variable by dividing each side by factors that don't contain the variable. When doing this, we get that y = 5.
Step-by-step explanation:
Hope this helps =)
Answer: 5
Step-by-step explanation:
6y-(3y-6)=5y-4
6y-1(3y-6)=5y-4
6y-3y+6=5y-4
3y+6=5y-4
-3 -3
6=2y-4
+4 +4
10=2y
10/2=5
consider the circle
Answer:
x = 34
Step-by-step explanation:
An angle inscribed in a semicircle is a right angle:
3x -12 = 90
3x = 102 . . . . add 12
x = 34 . . . . . divide by 3
One hose can fill a small swimming pool in 35 minutes. A larger hose can fill the pool in 45 minutes. How long will it take the two hoses to fill the pool working
together?
Do not do any rounding.
minutes
?
Answer:
19.6875 minutesStep-by-step explanation:
Find the required time:
1 / (1/35 + 1/45) = 1 / (9 + 7)/(9*35) = 315/16 = 19.6875 minutesFind the root mean square of the set 1, 3, 4, 5 and 7
Exact Answer: 2*sqrt(5)
Approximate Answer: 4.4721
====================================================
Explanation:
Original set = {1,3,4,5,7}
Square each value to get {1,9,16,25,49}. This is the list of squares.
Add up those squares: 1+9+16+25+49 = 100
Next, divide that over n = 5 which is the number of items in the set
100/n = 100/5 = 20
The value 20 is the mean of the list of squares above.
Lastly, apply the square root to get sqrt(20) = sqrt(4*5) = sqrt(4)*sqrt(5) = 2*sqrt(5)
This approximates to roughly 4.4721
--------------------
Side note: The term "root mean square" is often abbreviated to "RMS".
If we reversed the order of the three words, then we get "square mean root". In this reversed order, we see that the squaring operation is done first, then the mean next, and finally the square root is done last.
The value of the root mean square which is having sets of 1, 3, 4, 5, and 7 is 4.472.
What is a root mean square (RMS)?It is the square root of the mean square, which is the arithmetic mean of the squares of the group of values.
The formula of root mean square is given as
[tex]\rm X_{RMS} = \sqrt{\dfrac{x_1^2+x_2^2+x_3^2+....+x_n^2}{N}}[/tex]
N be the total number of observations.
The sets 1, 3, 4, 5, and 7.
Then the root mean square will be
[tex]\rm X_{RMS} = \sqrt{\dfrac{1^2+3^2+4^2+5^2+7^2}{5}}\\\\X_{RMS} = \sqrt{\dfrac{1+9+16+25+49}{5}}\\\\X_{RMS} = \sqrt{\dfrac{100}{5}}\\\\X_{RMS} = \sqrt{20}\\\\X_{RMS} = 4.472[/tex]
More about the root mean square link is given below.
https://brainly.com/question/7213287
x-2y+3z=-1
-3x+6y-9z=3
2x-4y+6z=-2
Step-by-step explanation:
out of the first equation we get
x = 2y - 3z - 1
this we use in the second equation
-3(2y - 3z - 1) + 6y - 9z = 3
-6y + 9z + 3 + 6y - 9z = 3
0 = 0
this is the same equation as the first one, just multiplied by -3.
and we see the third equation is again the same one as the first just multiplied by 2.
so, there are infinite solutions.
this has not a single solution, as in the end this is just one equation with 3 variables.
Find the surface area of the right triangle prism(above) using the net (below)
Answer:
144
Step-by-step explanation:
2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)
= 12 + 55 + 44 + 33
= 144
which is a better deal: 3 dingos for $57 or 5 dingos for $99.50?
Answer: 3 dingos
Step-by-step explanation:
57/3 = 19
99.5/5 = 19.9
The 3 dingo deal is cheaper and therefore a better deal.
Write an inequality to represent
“three-fourths of a number, n, is
greater than 27.”
Answer:
[tex]\frac{3}{4}n>27[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}n>27[/tex]
[tex]\implies n > 36[/tex]
factorise fully 6x + 9x cubed
Answer:
[tex]3375x^3[/tex]Step-by-step explanation:
→ [tex]\left(6x\:+\:9x\right)^3[/tex]
→ [tex]\left(15x\right)^3[/tex] [ add the x inside the bracket ]
→ [tex]15^3x^3[/tex] [ remove the bracket ]
→ [tex]3375x^3[/tex] [ final answer ]
Answer:
3x(3x² + 2x)
Step-by-step explanation:
6x + 9x³
rearrange tribe
9x³ + 6x
factor by grouping
3(3x³ + 2x)
3x(3x² + 2x)
Evaluate the following expression 4X equals -2 and Y equals -4
4(x-y)^8
Answer:
1024
Step-by-step explanation:
4(x-y)^8
Substitute the variables with the numbers
4 ( -2 - -4)^8
Solve what’s in the parentheses first
4 (2)^8
Exponent
4(256)
Solve
1024
Your answer would be 1024
I hope it helps!
Muffin<3
How many 20 millions are in 10 billion?
Answer:
500 times
Step-by-step explanation:
Divide 10,000,000,000 by 20,000,000 to determine how many 20 millions can go into 10 billion.
10,000,000,000 ÷ 20,000,000 = ?
Eliminate 7 zeros:
1,000 ÷ 2 = 500.
20,000,000 can go into 10,000,000 500 times.
if you randomly selected a day of the year, would it be unusual if it was one of the first 20 days in January? ignore leap year
A squere is a perimeter of 16.4 inches. what is the area
Answer:
16.81
Step-by-step explanation:
P = 4a.
then the length of a side is 16.4 /4 = 4.1.
A = a * a = 4.1 * 4.1 = 16.81
Answer:
45.1 cubic inches
Step-by-step explanation:
16.4 divided by 4 is 4.1 and 4.1 multiplied by 4.1 is 45.1.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
I already answered this as B
You also already asked this question
What is the solution, if any, to the inequality 3-14-n1 > 1?
no solution
O all real numbers
On>2 or n < 6
O 2< n < 6
Answer:
n > 2 or n < 6
Step-by-step explanation:
3 - | 4 - n | < 1
Let's move 3 to the other side of the equation:
- | 4 - n | < 1 - 3
- | 4 - n | < -2
Both sides of the equation are negative, so we can simplify by multiplying them with -1:
(- | 4 - n | < -2*-1
| 4 - n | < 2
We cannot get rid of the module because it's not for a single number and we dont know what n is equal to but there is a rule that we can use to remove the module:
- if | x | < a and a > 0 then -a < x < a. So if we use it we get the following:
- 2 < 4 - n < 2
These are two equations, separate and solve them separately
4 - n < 2
- n < 2 - 4
- n < -2
n > 2 (< turns into > because we changed sign)
and
- 2 < 4 - n
4 - n > -2
-n > -2 - 4
n < 6 (we change the sign of the numbers so the equation changes too)
So after solving the two equation we get the answers
PQR Airlines reports that 90.5% of its flights arrive on time. What percent of its flights do not arrive on time?
Answer:
9.5%
Step-by-step explanation:
90.5% is the amount of flights that arrive on time, out of 100 so to find out the rest you have to minus 90.5 by 100.
90.5-100 = 9.5
90.5+9.5= 100
if your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then how many grams of dietary fiber did you eat
Step-by-step explanation:
100% = 25g
1% = 100%/100 = 25/100 = 0.25g
80% = 80×1% = 80×0.25 = 20g
If your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then 20 grams of dietary fiber you eat.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that daily value of dietary fiber is 25g.
You only ate 80% of your daily value of dietary fiber.
We have to find the amount of dietary fiber in grams you eat .
To find this we have to find the value of 80 percentage of 25.
Convert 80 % to the decimal value by dividing 80 with 100.
80/100×25
Eighty by hundred times of twenty five.
20 grams
Hence, if your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then 20 grams of dietary fiber you eat.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ2
Solve the inequality m-3>-2
the answer is m>1
I hope that helped!
What is the area of this triangle?
480 m²
525 m²
675 m²
960 m²
The answer is : A. 480 m
3.03 Quiz: Area of Triangles
Use the following function rule to find f(0).
f(x)=3^x
f(0)=
Brainliest if correct
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
-1(2)(-5)
-1 (-10)=10
[RevyBreeze]
HELPPPPPPPPPPPPPPPPPPP
Answer:
The answer is C I can't explain it but maybe someone else can, I'm sorry.
What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
your answer in simplest form.
Answer:
Slope: 2
The slope how much y increases when x increases by 1.
Step-by-step explanation:
1. Find the difference between both y-coordinates. (6)
2. Find the difference between both x-coordinates. (3)
Divide the difference between y and x. y/x=2
The slope is 2.
Answer:
The slope of line that passes through the points (2, -4) and (5, 2) is 2.
Step-by-step explanation:
Here's the required formula to find slope line :
[tex]{\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}[/tex]
As per given question we have provided that :
[tex]\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 = - 4\\ & \sf x_2 = 5\\ & \sf x_1 = 2\end{cases} \end{gathered}[/tex]
Substituting the values in the formula to find slope line that passes through the points :
[tex]\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}[/tex]
Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.
[tex]\rule{300}{2.5}[/tex]
5 to the power of 2 + 2 to the power of 2 =?
Answer:
the answer is 36
Step-by-step explanation: