Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract
Step-by-step explanation:
The equivalent expression will be b⁵.
What is an expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.
Given an expression b¹⁰/b⁵,
We need to find an equivalent expression for the same,
So,
Using the identity,
mᵃ ÷ mᵇ = mᵃ ÷ mᵇ
= m⁽ᵃ⁻ᵇ⁾
Therefore,
b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾
= b⁵
Hence, the equivalent expression will be b⁵.
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Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answer:
Step-by-step explanation:
A countertop is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the countertop is 1,224 square inches. Write and solve an equation to find the height of the countertop.
Answer:
18
Step-by-step explanation:
hope this helps
if one of the factor of x2 + x - 20 is (x+5).find the other.
a.x-4
b.x+2
c.x+4
d.x-2
Answer:
a,x-4
hope it helps .....
There are 185 deer in a state park. The population is increasing at the rate of 16% per year. Enter a
prediction for how long it will take the population to reach 305. If necessary, round your answer to the nearest tenth.
The deer population will reach 305 in approximately _____
years.
Answer:
Approximately 3.4 years more or less
Step-by-step explanation:
If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:
P=185(1.16)^n
305=185(1.16)^n
1.65=1.16^n
log₁.₁₆(1.65)=log₁.₁₆(1.16^n)
3.37=n
So the deer population will reach 305 in approximately 3.4 years.
Select the action you would use to solve x - 3 - 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
The two triangles are similar. Determine the values of x, y, and z.
Answer:
y= 20 m
x= 15 m
z= 22 degree
Step-by-step explanation:
15+x=30 m
x=30-15
x= 15 m
z-18=40
z= 40-18
z= 22m
Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications
Answer:
The answer is "15.85%"
Step-by-step explanation:
The complete question is defined in the attachment file please find it.
Given:
[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]
Converting the Standard Normal:
[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]
[tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]
[tex]\sqrt[3]{32}[/tex]
Answer:
2[tex]\sqrt[3]{4}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{8}[/tex]·[tex]\sqrt[3]{4}[/tex] = [tex]\sqrt[3]{2^3}[/tex] · [tex]\sqrt[3]{4}[/tex] = 2 [tex]\sqrt[3]{4}[/tex]
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born in May. A group of 20 friends meet monthly and celebrate the birthdays for that month. What is the probability that at the May celebration, exactly two members of the group have May birthdays
Answer:
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a person being in May:
May has 31 days in a year of 365. So
[tex]p = \frac{31}{365} = 0.0849[/tex]
Group of 20 friends:
This means that [tex]n = 20[/tex]
What is the probability that at the May celebration, exactly two members of the group have May birthdays?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
kyle started at 0ft. went down 15 feet and then up 5 ft . what distance did he travel?
Answer:
20 ft? im not 100% sure tho
Step-by-step explanation:
please help i don't know what to do
A slope and x-intercept
B slope and y-intercept
C Slope and a point that is not an intercept
D x-intercept and y-intercept
E y- intercept and a point that is not an intercept
F two points that are not a intercepts
Answer:
5
It is that because I know this
The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?
Answer:
Kylie drank more water than Valentina
Step-by-step explanation:
I know that Kylie drank more water than Valentina.
I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48
Valentina drank 24 fluid ounces.
48 is greater than 24, so Kylie drank more water than Valentina.
HELP JIMTHOMPSON5910
13. To ride a roller coaster, you must be 48 inches tall. There are 30.48 centimeters in 1 foot. Approximately how many centimeters is 48 inches? Round to the nearest whole centimeter.
14. A water cooler contains 240 cups of water. One gallon is equal to approximately 3.8 liters. About how many liters of water are in the water cooler? Round to the nearest whole liter.
15. A billboard is 6 meters long. One centimeter is approximately 0.39 inch. About how long is the billboard in inches? Round to the nearest whole inch.
Answer:
13- pretty sure its 122
14- 58
15- i think its 236?
Problem 13
Answer: 122 cm------------------
Explanation:
It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.
To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm
==========================================================
Problem 14
Answer: Approximately 57 liters------------------
Explanation:
1 gallon = 16 cups
Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with
15*(1 gallon) = 15*(16 cups)
15 gallons = 240 cups
The water cooler is 15 gallons.
Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters
This answer is approximate since the 3.8 was approximate.
==========================================================
Problem 15
Answer: Approximately 234 inches------------------
Explanation:
1 meter = 100 cm
6 meters = 600 cm (multiply both sides by 6)
1 cm = 0.39 inches
600*(1 cm) = 600*(0.39 inches)
600 cm = 234 inches
This answer is approximate because the 0.39 was approximate.
The soup pot is 8.5 inches tall with a radius of 4 inches
The volume of the cylinder in question is 427.26 inches.
The volume of the cylinder is 427.04 inches 2.
soup pot is 8.5 inches tall
radius of 4 inches.
Volume, is defined as the ratio of the mass of object to its density.
Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2
Thus, the required volume is 427.04 inches 2
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PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!
Answer:
side CB
Step-by-step explanation:
draw triangles ABC and ACD next to each other
The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD
Answer:
corresponded side
CD=CD
AC=AB
AD=AC
show how you solved the problem
Which of the following is the best estimate of √80?
Answer:
√80=4√5 is your answer look it once
X=
4
6
12
Plzzz help
Answer:
x = 12
Step-by-step explanation:
3x = 6² = 36
x = 12
Andre correctly solved an equation using the steps shown:
What does Andre’s work show us about the type of solution to the equation? How do you know?
PLEASE ANSWER LEGITIMATELY! THANK YOU!
Answer:
This equation has zero solutions.
Step-by-step explanation:
This equation has zero solutions because 2 is not equal to zero.
what is the MEAN of 75, 85, 95, 105
Answer:
90
Step-by-step explanation:
75+85+95+105=360
360/4=90
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
y = −2x + 1
4x + 2y = −2
Find the median for the data set. 1, 1, 2, 6, 3, 1, 6, 6, 3
What is the area of the shaded sector?
Answer:
24 pi
Step-by-step explanation:
A= n/360(pi r^2)
A= 135/360(pi)(8^2)
A=135/360(64)(pi)
A= 24 pi
In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?
Answer:
260 people own a dog.
Step-by-step explanation:
Think of the equation as this:
65% of 400 people own a dog.
Since "of" in a math equation means to multiply, replace of with a multiplication sign.
65% * 400 = 260 people own a dog.
To check you're answer, make the fraction 260/400 into a percent.
260/400 = 65%
Have a nice day!!! ;D
Help!!!!!!!!!!!!!!!!!!!!!
A because the circle is empty and the line is going backwards
I NEED ASAP! IF ANY TROLLS OR LINKS ARE COMMENTED I WILL REPORT THEM. GIVING BRAINLIEST TO THE FIRST WHO ANSWERS CORRECTLY PLEASE HURRY!
04.04) Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is such as 8.2.) (Input numbers and decimal point only,
The graph of the function f(x) = sin(x) is shown. What is the domain of the function?
ANWER FAST PLS WILL GIVE BRANLIEST
Step-by-step explanation:
the sum of angle jnm and knp should be 90°
so (7x+2)+(10x+3)=17x+5=90
x=5
so angle knp is 53°
lnk is 90-53=37°
jnm is 37°
jnl js 180-37=143°
jnl is 37+90=127°
Which expression has a value of 252?
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
hope that helps :)
Answer:
6^3 + 6^2
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
625≠252
Hope this helps =]