The fractional form of the expression [tex]\sqrt[3]a[/tex] is [tex]a^{\frac{1}{3}[/tex]
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical expression [tex]\sqrt[3]a[/tex].
We know this describes the cube root of a or one-third root of a.
This can be written as a fractional exponent as [tex]a^{\frac{1}{3}[/tex].
Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
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James bought a movie ticket
and popcorn for $12.20. The movie ticket cost $8.45.
Use the equation c + $8.45 = $12.20 to find which size
popcorn James bought. How much change did James get
if he paid with a $20 bill?
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
What is change?Change is a natural part of life. It is the process of making or becoming different, and can happen in an instant or over a long period of time. Change may refer to a transformation in a person’s life, such as a career switch, a change in lifestyle, or growth in maturity. It can also refer to a shift in the environment, such as a change in the weather, a demographic shift, or a dramatic event.
The equation c + $8.45 = $12.20 can be rewritten as c = $12.20 - $8.45. Solving this equation yields c = $3.75. This means James bought a popcorn for $3.75.
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
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Pls help me desperate for this answer !!
TB ≅ TC
TA ≅ AT
Answer:
its tb=tc g
Step-by-step explanation:
(25 points)
What is the value of k?
Please explain your answer
Answer:
que?
Step-by-step explanation:
Select the correct answer.
Which function has an inverse function?
Answer:
d
Step-by-step explanation:
so the first part is multiplication and the second part is division bc it's a fraction hope this helps <3
30. Find the distance travelled by an object in 35.0 seconds, it it has a constant
speed of 24.0m/s.
A: 1.46 meters
C. 840 seconds
B. 840 m/s
D. 840 meters
Answer:
D is correct option 840 meters
Step-by-step explanation:
S=vt
S= (24)(35)
S= 840 meters
The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density in terms of pounds per cubic foot is 101.2 pounds/ft³
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here; 6900 g for every 4.05 quarts thus expressing in terms of pounds per cubic foot we get = 15.22/0.15039
= 101.2
Hence, The density in terms of pounds per cubic foot is 101.2 pounds/ft³
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Operation research is the application of which methods to arrive at the optimal solution to the problems?
Answer:
BEDMAS
Step-by-step explanation:
first: inside the bracket.
second: exponent
third and fourth :division or multiplication. Wich come first.
last :addition or subtraction. Wich come first .
Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!
= 2 + 4 = 6 ↔ rational
= 2 * 2 = 4 ↔ rational
= 7 + 9 = 16 ↔ rational
Hope this helps!!
PLEASE HELP ME PLEASE I NEED IT RN
Answer:
A. -9/2
Step-by-step explanation:
Rate of change of y in respect to x = change in y/change in x
Using two pairs of values, say (-6, 33) and (-2, 15),
Rate of change = (15 - 33)/(-2 - (-6))
Rate of Change = -18/4
Simplify
Rate of change = -9/2
triangle has area 16 m ^2
. List all the possible positive integers that could
represent the lengths of its base and height.
Therefore , the solution of the given problem of triangle comes out to be base=4m,16 and height=8m,2m.
Defining a triangleIn a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.
Here,
Given :
Triangle area = 16[tex]m^{2}[/tex]
Thus,
To find the possible base and height of the triangle.
The base can be given by 4 m,16
and height be = 8m or 2m
vice-versa
height = 4m ,16mand base =8m,2m
Therefore , the solution of the given problem of triangle comes out to be base=4m,16 and height=8m,2m.
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Answer:
see below
Step-by-step explanation:
given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,
ar(∆) = 1/2 * base* height
substitute the respective values,
16m² = 1/2* b * h
b*h = 32
now here we need to list out all the possible factors of 32 as ,
1 *32
2 *16
4*8
8*4
16 *2
32*1
therefore, all the possible lengths of heights and bases are ,
b = 1m , h = 32m b = 2m , h = 16mb = 4m , h = 8mb = 8m , h = 4mb = 16m , h = 2mb = 32m , h = 1mand we are done!
-Rishabh
Can someone please help me like fast??
Answer:
a= 5
b= 9
c= -7
d= 12
Step-by-step explanation:
WILL GIVE BRAINLIEST
There are 6.02 × 10^23 atoms in 1 gram of hydrogen. How many atoms are there in 400 grams of hydrogen? Write your answer in scientific notation. If necessary, round your answer to two decimal places.
If possible PLEASE write the answer in the form of 54x10^3
The number of atoms that are there in 400 grams of hydrogen will be 2.408 × 10^26.
How to illustrate the scientific notation?Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper.
In this case, there are 6.02 × 10^23 atoms in 1 gram of hydrogen.
The number of atoms that are there in 400 grams of hydrogen will be:
= 6.02 × 10^23 × 400
= 2408 × 10^23
= 2.408 × 10^3 × 10^23
= 2.408 × 10^26
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In a school orchestra, the ratio of girls
to boys is 3:2. There are 36 girls in the
orchestra. How many boys are in the
orchestra?
Answer:
54 boys
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
the ratio 3/2 means 1.5 so we divide 36 over 1.5 we get 24…
to make sure we 36/24= 3/2=2.5
i need help for this quizzz hurry plz
Answer:
Step-by-step explanation:
b: left arrow with filled in dot
c: right arrow with filled in dot
d: left arrow with NO filled in dot
Employee B got a one time bonus of $90. He makes $13 an hour. If he was paid $415, how
many hours did he work?
Answer:
y=mx+b format... 8th grade math class memories...ahhh
Step-by-step explanation:
Employee B-
one time bonus of 90 gets plugged into the b spot
13 an hour goes into the m space
415 total paid goes into the y spot
415=13(x)+90
subtract 90 from 415 and 90
325=13(x)
divide 325 by 13 and 13
25=(x)
Now plug x into the y=mx+b format with all your other numbers to check
y=13(25)+90
y=415!!
Hope this wasn't too confusing, good luck!
HELP ASAP I WILL MARK BRAINLIST!!!!
Find the volume of the following
square pyramid.
10 cm
12 cm
V = [?] cm3
Answer:
The volume is 384 cm^2.
Step-by-step explanation:
The equation for a pyramid is the base area times the height divided by 3, so [tex]a^2h/3[/tex]. In this case, we know the side length but we do not know the height. We can use the Pythagorean Theorem to get:
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
Therefore, our height is 8. Plug this into the equation to get:
12^2 (8) / 3
144 (8) / 3
1152 / 3
384
Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = mx + c
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]
The spring sale at a local store advertises one price for all items in a particular department. You buy 5 small pots and q packages of seeds for 3 dollars each. An expression for the total cost of your purchases is 3(5+q). Use the Distributive Property to write an expression equivalent to 3(5+q).
Answer:
3*(5 + q) = 15 + 3*q
Step-by-step explanation:
The distributive property is:
A*(B + C) = A*B + A*C
We know that you buy 5 small pots and q packages of seeds for $3 each.
And we know that the equation that models the cost is:
3*(5 + q)
Now we can simply apply the distributive property to rewrite this expression as:
3*(5 + q) = 3*5 + 3*q = 15 + 3*q
So the equivalent expression is: 15 + 3*q
Angelina has taken 27 of the 36 exams she needs to take to become a nurse. What percent of the exams has she taken?
The percentage of the exam that she has taken is 75%.
What percentage of the exam has she taken?Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.
Percent of the exams she has taken = (number of exams taken / total number of exams) x 100
Percent of the exams she has taken = (27 / 36) x 100
Percent of the exams she has taken = 75%
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Help fast please !!!!!
Answer:
Step-by-step explanation: reduce mean divide so 400 divided by 4 =28
Jordins dog eats 3/4 bag of dog food in 1 month how many bags of dog food does Jordan dog eat in 6 months
The probability of raining on Saturday is 0.09. If today is Saturday, then find the
probability of raining today.
A. 0.63
B.0.49
C.0.37
D.1
Answer:
I Think it is A
Step-by-step explanation:
It is a because 9×7=63
The probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
To find the probability of raining today, given that today is Saturday and the probability of raining on Saturday is 0.09, we can use conditional probability.
The conditional probability of an event A occurring, given that event B has already occurred, is denoted as P(A|B) and is calculated as follows:
P(A|B) = P(A ∩ B) / P(B)
In this case, event A represents the event of raining today, and event B represents the event of it being Saturday.
We are given that P(B) = 0.09 (the probability of raining on Saturday). Since today is Saturday, we know that event B has occurred.
Now, let's assume that event A and event B are independent. This means that the probability of raining today (event A) is not affected by whether it is Saturday (event B) or not.
Under the assumption of independence, we can say that P(A ∩ B) = P(A) * P(B).
Given that P(B) = 0.09, we can substitute these values into the conditional probability formula:
P(A|B) = (P(A) * P(B)) / P(B)
= P(A)
Therefore, the probability of raining today is equal to the probability of raining on Saturday, which is 0.09.
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Randy worked 4 2/9 hours on Sunday. If he
worked a total of 10 1/3 hours on Saturday
and Sunday, how many hours did he work
on Saturday?
Answer:
6 1/9 hours
Step-by-step explanation:
10 3/9 - 4 2/9 = 6 1/9
Simplify the expression 4 to the power of 3 + 2(3 − 2).
three friends equally share 1/2 of a pizza. how much of the pizza does each friend get
Which BEST DESCRIBES 3y + 2x + 18?
A)
3y + 2x + 18 is an equation because values can be substituted for x and y.
B)
3y + 2x + 18 is not an expression because both x and y are variables,
C)
3y + 2x + 18 is an expression because it cannot be solved
D)
3y + 2x + 18 is an equation because there are 3 terms
Answer:
C)is an expression because it cannot be solved
7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d
Answer:
C= -5
D = 7
Step-by-step explanation:
[tex] - 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7[/tex]
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. Frequency 5 10 15 3 2 Find the probability that a student earns a grade of B
Answer:
0.29
Step-by-step explanation:
Total number of students = 35
Number of students who got B = 10
Probability that a student earns grade B :
Probability = required outcome / Total possible outcomes
P(grade B) = 10 / 35 = 0.2875
= 0.29
Please help, I will mark you brainiest, thank you!!
A liquid dietary product implies in its advertising that use of the product for one month results in an average weight loss of at least three pounds. Eight subjects use the product for one month, and the resulting weight loss data are reported as follows.
Subject Initial Weight (lbs) Final Weight(lbs)
1 165 161
2 201 195
3 195 192
4 198 193
5 155 150
6 143 141
7 150 146
8 187 183
a) Do the data support the claim of the producer of the dietary product with the probability of Type 1 error of .05?
b) Do the data support the claim of the producer of the dietary product with the probability of Type 1 error of .01?
c) In an effort to improve sales, the producer is considering changing its claim from "at least three pounds" to "at least five pounds". Repeat parts a and b to test this new claim.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Please find the table in the attached file.
mean and standard deviation difference: [tex]\bar{d}=\frac{\Sigma d}{n} =\frac{-4-6-.......-4-4}{8}=-4.125 \\\\S_d=\sqrt{\frac{\Sigma (d-\bar{d})^2 }{n-1}}=\sqrt{\frac{(-4 + 4.125)^2 +.......+(-4 +4.125)^2 }{8-1}}= 1.246[/tex]
For point a:
hypotheses are:
[tex]H_0 : \mu_d \geq -3\\\\H_a : \mu_d < -3\\\\[/tex]
degree of freedom:
[tex]df=n-1=8-1=7[/tex]
From t table, at[tex]\alpha = 0.05[/tex], reject null hypothesis if [tex]t <-1.895[/tex].
test statistic:
[tex]t=\frac{\bar{d}-\mu_d }{\frac{s_d}{\sqrt{d}}}=\frac{ -4.125- (-3)}{\frac{1.246}{ \sqrt{8}}} =-2.55[/tex]
because the [tex]t=-2.553 <-1.895[/tex], removing the null assumption. Data promotes a food product manufacturer's assertion with a likelihood of Type 1 error of 0.05.
For point b:
From t table, at [tex]\alpha =0.01[/tex], removing the null hypothesis if [tex]t<-2.998[/tex].
because [tex]t=-2.553 >-2.908[/tex], fail to removing the null hypothesis.
The data do not help the foodstuff producer's point with the likelihood of a .01-type mistake.
For point c:
Hypotheses are:
[tex]H_0: \mu_d \geq -5\\\\H_a: \mu_d < -5[/tex]
Degree of freedom:
[tex]df=n-1=8-1=7[/tex]
From t table, at [tex]\alpha =0.05[/tex], removing the null hypothesis if [tex]t <-1.895[/tex].
test statistic: [tex]t=\frac{\bar{d}-\mu_d}{\frac{s_d}{\sqrt{n}}} =\frac{-4.125-(-5)}{\frac{1.246}{\sqrt{8}}}=1.986[/tex]
Since [tex]t-1.986 >-1.895[/tex], The null hypothesis fails to reject. The results do not support the packaged food producer's claim with a Type 1 error probability of 0,05.
From t table, at[tex]\alpha= 0.01[/tex], reject null hypothesis if[tex]t<-2.998[/tex].
Since [tex]t=1.986>-2.998[/tex] , fail to reject null hypothesis.
Data do not support the claim of the producer of the dietary product with the probability of Type 1 error of .01.