Answer:
C. 1/a¹²
Step-by-step explanation:
Formula
[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]Applying that here :
[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²Answer:
a^1/12 or choice A
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]
Law of Exponent (Division Property):
[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]
Therefore:
[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]
Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:
[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]
Therefore, the solution is a^1/12 or choice A
a+b-__=a whats the blank and whats a and b
Answer:
-c is the blank and a+b is variables of real numbers.
Step-by-step explanation:
A real number is a value of a continuous quantity that can represent a distance.
However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?
A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125
B.
{1,2,3,skip,4,5,6}; P(1)=0.14
C.
{1,2,3,4,5,6, skip}; P(1)=0.125
D.
{1,2,3,4,5,6}; P(1)=0.17
Using it's concepts, it is found that the sample space and the desired probability are given by:
C. {1,2,3,4,5,6,skip}; P(1)=0.125
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:
{1,2,3,4,5,6, skip}
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, one out of eight outcomes result in a one, hence:
P(1) = 1/8 = 0.125.
Which means that option C is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.
Answer:
Multiply the number of cups of cream by two and a half.
Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...
keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.
Roberto has by saltine crackers at the store. The label on the shelf for brand A says that it’s unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by?
Answer:
Brand A
Step-by-step explanation:
IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!
Find the axis of symmetry and the vertex of the graph of y=3x^2+2x
Answer:
Vertex is (-1/3, -1/3) and the axis of symmetry is x = -1/3
Hope this helps :)
Can slope intercept form have y as the slope?
For example:
x = 7y
Answer:
yes
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?
What number must you add to complete the square?
x^2 + 8x = -3
A. 64
B. 8
C. 4
D. 16
Answer:
4
Step-by-step explanation:
before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some help asap
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When second differences are negative, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the curvature of the function is negatve, and that it opens downward.
__
a, b.If the graph of the parabola opens downward, and it crosses the x-axis, it must have a maximum that is a positive value of y.
__
c.The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
______
Additional comment
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
Which point would be a solution to the system of linear inequalities shown below?
Answer: (-4, -6)
Step-by-step explanation:
Solving by graphing
[] See attached
() The only point in the required range is point (-4, -6)
Solving by plugging-in
I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.
[✗] Let's check point (4, 10)
() 10 < (1/4)4 - 4
10 < 1 - 4
10 < -3 is false, so this answer is incorrect
[✗] Let's check point (-4, 5)
() 5 < (1/4)-4 - 4
5 < -1 -4
5 < -5 is false, so this answer is incorrect
[✗] Let's check point (-4, -4)
() -4 < (1/4)-4 - 4
-4 < -1 -4
-4 < -5 is false, so this answer is incorrect
[✓] Let's check point (-4, -6)
() -6 < (1/4)-4 - 4
-6 < -1 - 4
-6 < -5 is true, so this answer is correct
*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.
Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
Use the distributive property to remove the parentheses.
7w3(2w5+9w)
Simplify your answer as much as possible.
Ó
Х
Х
5
?
Answer:
14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
Step-by-step explanation:
7w³ (2[tex]w^{5}[/tex] + 9w) ← multiply each term in the parenthesis by 7w³
= 14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
[ using rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] ]
Answer:
7w⁴ (2w⁴ + 9)
Step-by-step explanation:
Given
7w³ (2w⁵ + 9w)Let's simplify.
Using the distributive property, 7w³ is distributed to 2w⁵ and 9w7w³ * 2w⁵ + 7w³ * 9w14w⁸ + 63w⁴The common factor of the two terms is : 7w⁴⇒ 7w⁴ (2w⁴ + 9)Please answer. Show work. Find volume. Thanks!
Answer:
225
Step-by-step explanation:
if you convirt them all to fractions and make it 5/1*10/1*36/1=225
PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.
Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.
Answer:
the answer is 60 yards for the triangle
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
A
C. service credit
d.
marginal credit
Please select the best answer from the choices provided
OA
OB
OC
OD
Mark this and return
Save and Exit
Next
Submit
Answer:
D. marginal credit is right one
how do I get help with my math work?
Answer:
post your question and someone will respond
Question 2 I need help
Thank youuu
Answer:
Pls help me with my questions
Step-by-step explanation:
Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?
Answer:
Step-by-step explanation:
4. m < 1 + m < 4 + m < 5 = 180
Ken drinks 730 bottles of soda a year.
How much does he drink a day.
A 12
B 4
C 2
D 5
What is the volume of a sphere with a radius of 8.8in
Answer:
2854.5 in^3
Step-by-step explanation:
4/3 π(8.8)^3
4/3π(681.472)
908.63π = 2854.5 in^3
Help 4 easy math questions
Step-by-step explanation:
1) x+13+90 = 180
or, x = 180 - 103
x = 77
2) x+74+90 = 180
or, x = 180 - 164
x = 16
3) x+62+45 = 180
or, x = 180 - 107
x = 73
Messyfull people I need your help!!!!
Step-by-step explanation:
[tex] \sin(θ) = \frac{2}{5} [/tex]
We know that
[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]
Using that we get
[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]
[tex] = 1 - \frac{4}{25} [/tex]
[tex] \frac{21}{25} [/tex]
hence
[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]
Step-by-step explanation:
please mark me as brainlest
Find the distance between the two points in simplest radical form.
(-1,-1) and (5,-9)
[tex]\sqrt{ { (x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{( {5 - ( - 1)}^{2} + {( - 9 - ( - 1)}^{2} )} \\ \\ = \sqrt{ {(5 + 1)}^{2} + {( - 9 + 1)}^{2} } \\ \\ = \sqrt{ {(6)}^{2} + {( - 8)}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
Hope it helpsUse calculus to find the volume of the following solid S:
The base of S is the parabolic region {(x,y)|x^2≤y≤1}. Cross-sections perpendicular to the y-axis are squares.
S casts a "shadow" on the x-y plane given by the set
[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]
Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².
The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]
The integrand is even, so this integral is equal to twice the integral over [0, 1] :
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]
Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP
Answer:
c. 17/12
Step-by-step explanation:
Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Given equation:
[tex]4(x+4)-10=14[/tex]
Add 10 to both sides:
[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]
Divide both sides by 4:
[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]
Subtract 4 from both sides:
[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]
Therefore, the solution is [tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.
⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14Simplify the left hand side as needed to determine the "x" variable.
⇒ 4x + 6 = 14Subtract 6 both sides to isolate the "x" variable and it's cooeficient.
⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.
⇒ 4x/4 = 8/4⇒ x = 2Thus, the value of x is 2.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
HELP PLS HJJHHHJJHH
Answer:
See below ↓↓
Step-by-step explanation:
Important facts given [needed to solve]
Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68Solving :
Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)Interest paid
Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.
Answer:
ok so this is just multiplycation
30% is also 0.3 so
280*0.3=84
84 minutes or
1 hour 24 minutes
Hope This Helps!!!
Answer: 23810645.03820431-24
Step-by-step explanation:
Used my brain :)