What is the square root of m6?
m2
m3
m4
m
Answers
Answer:
the sq root of m6 is m3
Step-by-step explanation:
The square root of m6 = √ (m6) = (m6)1/2
= m[6 × (1/2)] → multiplying exponents
= m3
Answer:
m^(3)
Step-by-step explanation:
To find the square root of \(m^{6}\), you can use the rule that the square root of \(x^{n}\) is equal to \(x^{n/2}\).
In this case, x = m and n = 6, so the square root of \(m^{6}\) is equal to \(m^{6/2}\) = \(m^{3}\). This means that the square root of \(m^{x}\) is \(m^{3}\).
Related Questions
17. An elevator in a mall has a capacity of 1350 kg, Suppose that on the average, a child weighs
about 25 kg while an adult weighs 60 kg. How many possible number of children and adults are
allowedto ride the elevator without exceeding its capacity?
a. (30 children, 15 adult)
c.(2 children, 25 adult)
b. (10 children, 15 adult)
d.(5 children, 24 adulky
Answers
Answer:
The correct answer is B
Step-by-step explanation:
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The volleyball team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 12 eagles for $34.56. Company B sells 15 eagles for $42.90. Company C charges $51.30 for 18 eagles. Which company has the best buy?
Answers
Answer:
Step-by-step explanation:
A=34.56/12=$2.88 each
B=42.90/15=$2.86 each
C=51.30/18=$2.85 each
So C is the cheapest.
Which triangles are congruent? 30° 110° А 30° 45° B. 110 40° с ?
Answers
Answer:
B) 110 , 140
Step-by-step explanation:
Two angles are 30 , 110
So the other angle should be = 180 - (30 + 110)
= 180 - 140
= 40
The 3 angles of the triangle are 30 , 110 , 40
So, 110 , 40 will be congruent with this triangle
Destiny is asked about her age. She answers as follows. "My age is 3 years more than twice the age of my
younger brother. The sum of our ages is 42 years."
Answers
Answer:
Destiny is 9 years old I think
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
since her age is 3 more than twice her brothers age we'll subtract 3
42 - 3 = 39
since shes twice her brothers age theres actually 3 numbers. her brother's age which is the base number, and her age, which is is that times 2. so in order to get her brothers age we divide by 3
39 ÷ 3 = 13
since shes twice his age + 3 we'll multiply by 2, then add 3
13 × 2 + 3 = 29
I hope this isnt too complicated! I tried to simplify it but I think it came out more confusing than I intended
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x=−2 and x=4, x-intercepts at (−3,0) and (1,0), horizontal asymptote at y=−3 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). Include a multiplication sign between symbols. For example, a*x. f(x)=
Answers
Here is the equation for a rational function with the given characteristics:
\(f(x) = \frac{(x+3)(x-1)}{(x+2)(x-4)} \cdot (-3)\)
The numerator has a degree of 2, and the denominator has a degree of 2, so the function has a horizontal asymptote at y=-3. The numerator has zeros at x=-3 and x=1, so the function has x-intercepts at those points. The denominator has zeros at x=-2 and x=4, so the function has vertical asymptotes at those points.
Here is a breakdown of the equation:
(x+3)(x-1) is the numerator of the function. It has zeros at x=-3 and x=1.
(x+2)(x-4) is the denominator of the function. It has zeros at x=-2 and x=4.
(-3) is the horizontal asymptote of the function.
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a certain bacteria doubles every 2 seconds. Starting from a single bacterium, how many bacteria will be there after 20 seconds?
Answers
The answer will de 10 bacterias
Answer: 1024
Step-by-step explanation: Since there's only 1 bacteria at first, we can just do 2^x. x being the amount of time divided by the amount of time between each time it doubles. Since the bacteria doubles every 2 seconds, and 20/2 = 10 we get 2^10 which is 1024.
help me withb this qustion
Answers
Answer:
Abigail has 0.5 liters of milk left. This is less than the amount she used. So, the amount she used is greater.
Step-by-step explanation:
1.4
- .9
_____
0.5
Can someone help me with this please I need it by today
Answers
Answer:
9 I THINK
Step-by-step explanation:
77 minus 14 equals 63 and 63 divided by 7 equals 9
2) The representative agent lives for infinite periods (0,1,2,…) and receives exogenous incomes of y0,y1,y2,…, respectively. The lifetime present discounted value of utility is given by: ∑t=0[infinity]βtln(ct) with β(<1) being the discount factor and ct is consumption at time t. The agent is allowed to save or borrow at the real interest rate r, but she cannot die with debt or wealth. Assume also that the initial wealth is zero. a. Solve the optimization problem of the agent using the period-by-period budget constraints. In particular, show the Euler equation. b. Using the given functional form, write the Euler equation between time 1 and time 3 . In other words, show how c1 and c3 are related. c. Write the present discounted value of optimal lifetime consumption as a function of c0 (and, potentially, other parameters or exogenous variables). d. Write the present discounted value of optimal lifetime utility as a function of c0 (and, potentially, other parameters or exogenous variables). e. Find the present discounted value of lifetime income as a function of y0 (and, potentially, other parameters or exogenous variables) when income is growing each period at the rate of γ, where 0<γ0 ? Explain!
Answers
a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. U0 = ∑t=0[infinity](β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.
a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:
At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.
Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin
d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity](β(1 + r))^tln(ct).
This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.
This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.
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find the area of quadrilateral which all side is 4 cm and diagonal one is 7 and diagonal two is 6
Answers
Step-by-step explanation:
Your answer...... 21 cm^2
WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER
Answer:
the quadrilateral is a rhombus as its all four sides are equal (of 4cm) each
Area of rhombus = 1/2 (digonal 1 × digonal 2)
= 1/2 ( 7×6 )
= 1/2 ( 42)
= 21
hence area of quadrilateral is 21 cm square
you are treating a 50-year-old man that was involved in a fire. he suffered 25% 2nd-3rd degree burns to the anterior chest, neck and face. he has singed nasal hairs, and you identify stridor on your primary survey. pulse oximetry is 88% on a 100% non-rebreather mask. a burn center is 45 miles away. the next most appropriate step prior to transfer is:
Answers
A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.
A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.
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find the slope when given the following points (1 6) and (3 -4)
Answers
Answer:
Slope= (-4-6)/(3-1)
=-10/2
=-5
A rectangular prism has a base that is 1.5 meters by 2 meters and the prsim is 4 meters high,What is the surface area
Answers
Answer:
34
Step-by-step explanation:
the equation is 2(lw+lh+wh)
2( 1.5 x 2 + 1.5 x 4 + 2 x 4)
Answer:
Step-by-step explanation:
surface area=2lb+2(l+b)h
=2×1.5×2+2(1.5+2)×4
=6+2×3.5×4
=6+28
=34 sq. m
cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started
Answers
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
7. A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters,
how many are there of each?
Answers
Answer:
There are 31 quarters.
There are 47 dimes.
Step-by-step explanation:
let q = number of quarters
let d = number of dimes
d = 16 + q
.10d + .25q = 12.45 Multiply through by 100
10d + 25q = 1245 Substitute 16 + q for d
10(16 + q) + 25q = 1245 Distribute the 10
160 + 10q + 25q = 1245 Combine like terms
160 + 35q = 1245 Subtract 160 from both sides
160 - 160 + 35q = 1245 - 160
35q = 1085 Divide both sides by 35
q = 31
There are 31 quarters.
Substitute 31 for q
d = 16 + 31
d = 47
There are 47 dimes.
Check:
d = 16 + q
47 = 16 + 31
47 = 47 Checks
.10d + .25q = 12.45
.10(47) + .25(31) = 12.45
4.70 + 7.75 = 12.45
12.45 = 12.45 Checks.
Answer:
There are 31 quarters and 47 dimes.
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let q be the number of quarters.Let d be the number of dimes.Values of the coins:
The value of a quarter is $0.25.The value of a dime is $0.10.Given a coin bank contains $12.45 in quarters and dimes:
\(0.25q + 0.10d = 12.45\)Given there are 16 more dimes than quarters:
\(d = q + 16\)Therefore, the system of equations that represents the problem is:
\(\begin{cases} 0.25q + 0.10d = 12.45\\d = q + 16\end{aligned}\)
Substitute the second equation into the first equation to eliminate d:
\(0.25q+0.10(q+16)=12.45\)
Solve the equation for q to find the number of quarters:
\(\begin{aligned}0.25q+0.10(q+16)&=12.45\\0.25q+0.10q+1.6&=12.45\\0.35q+1.6&=12.45\\0.35q&=10.85\\q&=31\end{aligned}\)
Therefore, there are 31 quarters.
Substitute the found value of q into the second equation and solve for d:
\(\begin{aligned}d &= q + 16\\&= 31 + 16\\&= 47\end{aligned}\)
Therefore, there are 47 dimes.
A countertop is 14 feet long and 7 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
The countertop is
square meters.
Answers
Answer:
9.12 m^2
Step-by-step explanation:
14*.305=4.27 m
7*.305= 2.135m
multiplied together is 9.12 m^2
I bought 500 pieces of candy. If 42% of the candy was eaten. How many pieces
were ate?
Answers
Answer: 210
Step-by-step explanation:
42% is equal to the fraction 42/100.
We can multiply 42/100 by 500 to find how much candy was eaten.
42/100 x 500 = 210.
Therefore, 210 pieces of candy were eaten. Hope this helps and good luck!
Answer:
210
Step-by-step explanation:
500 - 42%= 290
500 - 290 = 210
210 = Answer
Write the sum of O.31 (repeating 31 )and 0.125 (repeating 125)
Answers
Answer: 0.435 repeating
Step-by-step explanation:
Pls help I’ll give brainliest
Answers
Answer:
b
Step-by-step explanation:
3/2
Answer:
\(x = \frac{3}{2} \)
Step-by-step explanation:
1) Expand.
\( - 6x + 8 = - 2x + 2\)
2) Add 6x to both sides.
\(8 = - 2x + 2 + 6x\)
3) Simplify-2x + 2 + 6x to 4x + 2.
\(8 = 4x + 2\)
4) Subtract 2 from both sides.
\(8 - 2 = 4x\)
5) Simplify 8 - 2 to 6.
\(6 = 4x\)
6) Divide both sides by 4.
\( \frac{6}{4} = x\)
7) Switch sides.
\(x = \frac{3}{2} \)
Therefor, the answer is option B. 3/2.
Consider the following 8 numbers, where one labelled
x
is unknown.
48
,
9
,
29
,
x
,
5
,
32
,
22
,
5
Given that the range of the numbers is 63, work out 2 values of
x
Answers
Answer:
Step-by-step explanation:
48 + 9 + 29 + x + 5 + 32 + 22 + 5 = 63
by adding all numbers except x, we get
150 + x = 63
x = 63 - 150
x = - 87
The mean and the median are closely related concepts. The median is the numerical value separating the higher half of your data from the lower half. You can find the median by arranging all of the observations from lowest value to highest value and picking the middle value​ (assuming you have an odd number of​ observations). Although the mean and median are closely​ related, the difference between the mean and the median is sometimes of interest.
Suppose Country A has five families. Their incomes are $9000, $21,000, $29,000, $39,000, and $50,000.
Country A's median income is _______, and its mean income is ______.
Suppose country B also has five familities. Their incomes are $9000, 21000, 29000, 39000, and 151000.
Country B's median income is _____ and its mean income is ____.
Country _____ has a greater income inequality
Based on your answers to this​ question, would you expect the ratio of the mean income in the United States to the median income has risen or​ fallen? Explain.
A.
​Fallen, because means change less with standard deviation.
B.
​Risen, because means change more with extreme values.
C.
​Risen, because means increase but medians decrease with income.
D.
​Risen, because medians increase with variance but means do not.
Answers
Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.
Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5 = $29600
Median income of country A = (5+1)/2 th term = 3rd term = $29000
Mean to median ratio = 29600/ 26000= 1.02
Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800
Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000
Mean to median ratio of country B = 49800/29000 = 1.71
Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.
If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.
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a raised rectangular garden is two feet more than three times as long as it is wide. the depth of the pool is half the width. if the length is 11 feet, what is the volume?
Answers
Answer:
49.5ft³
Step-by-step explanation:
If it is 2 ft more than 3 times as long as it is wide then:
l = 3w + 2
which means:
w = (l-2)/3
and:
d = 1/2((l-2)/3)
Now just substitute in 11 for l
w = (11 - 2)/3
w = 9/3
w = 3
d = 1/2((11-2)/3)
d = 1/2(9/3)
d = 1/2(3)
d = 1.5
So the total volume is:
11 * 3 * 1.5
49.5
1. The three year discount factor is 0.7773 and the one year discount factor is 0.9434. Calculate the two year discount factor if the three year annuity factor is 2.6065 a. 0.9623 b. 0.8758 c. 0.9132
Answers
After considering the given data we conclude that the generated two year discount factor is 0.9132, under the condition that three year annuity factor is 2.6065.
Applying the formula for the annuity factor, we can find the two year discount factor:
\(annuity factor = (1 - discount factor^n) / r\)
Here,
n = number of years
r = annual interest rate.
We are given that the three year discount factor is 0.7773 and the one year discount factor is 0.9434. We are also given that the three year annuity factor is 2.6065.
Applying the formula for the annuity factor, we can evaluate the annual interest rate:
\(2.6065 = (1 - 0.7773^3) / r\)
r = 0.1
Now, we can evaluate the two year discount factor:
\(annuity factor = (1 - discount factor^2) / 0.1\)
\(2.6065 = (1 - discount factor^2) / 0.1\)
\(discount factor^2 = 0.89335\)
discount factor = \(\sqrt(0.89335)\)
discount factor = 0.9132
Therefore, the two year discount factor is 0.9132.
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7 yards and 11 feet = how many feet?
Answers
Answer:
32 feet.
Step-by-step explanation:
We can convert 7 yards to feet and add it to 11 feet to get the total distance in feet.
1 yard is equal to 3 feet, so 7 yards is equal to:
7 yards * 3 feet/yard = 21 feet
Adding 11 feet to this, we get:
21 feet + 11 feet = 32 feet
Therefore, 7 yards and 11 feet is equal to 32 feet.
Answer:
There are 32 feet in 7 yards and 11 feet.
Step-by-step explanation:
To find the answer, we need to convert yards to feet and then add them to the given feet. We can use the following conversion factor: 1 yard = 3 feet. Multiplying both sides by 7, we get: 7 yards = 21 feet. Adding 11 feet to both sides, we get: 7 yards + 11 feet = 21 feet + 11 feet. Simplifying, we get: 7 yards + 11 feet = 32 feet.
PLEASE HELP
You have to create 3 functions to make hills on a grap
Requirements are in the photo.
(ignore graphs)
4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)
Answers
Answer:
Hill 1: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 3: F(x) = 4(x - 2)(x + 5)
Step-by-step explanation:
Hill 1
You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.
Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.
One possibility is
F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2
Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.
Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.
The transformed function should be
F(x) = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)
Hill 3
To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.
The zeroes of your picture run from -4 to +7.
One of the zeros of your parabola is +5 (2 less than 7).
Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.
The function could be
F(x) = ¼(x - 2)(x + 5).
In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.
Jim scored 23 points the first basketball game and scores 25 points per game(x) after the first. 73 +25Y
Answers
Answer: 1
Step-by-step explanation:
25+23=48
48=73+25Y
-73 = -25
divide = 1
What is the slope between the points (3,2) and (-1,10)?
Will mark brainliest
Answers
Answer:
m = slope = -2
Step-by-step explanation:
\(\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2\)
Hope this helped! :)
Ships could reach the port of St. Petersburg via the Baltic Sea. Where is that sea? A B C D Portion of world map showing Europe and Russia with labels A, B, C, D, and E
Answers
According to the information we can infer that the Baltic Sea is located in the area labeled with letter A.
Where is the Baltic Sea?The Baltic Sea is located in Northern Europe, bordered by several countries in the region. It is surrounded by Sweden to the west, Finland to the northeast, Russia to the east (with the Russian exclave of Kaliningrad bordering its southern coast), Estonia, Latvia, and Lithuania to the southeast, Poland to the south, and Germany and Denmark to the southwest.
According to the information we can infer that the correct option is A because the description match with the area labeled with this letter.
Note: This question is incomplete. Here is the complete information:
Attached image
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What is 9(x + 8) + x(5+4)
Answers
Answer:
72+ 18x
Step-by-step explanation:
9x+72+5x+4x
72+ 18x
9x + 72 + 5x + 4x
18x + 72
(If you have been asked to solve for x then also include the following, if not then only write what is above!)
18x + 72 = 0
18x = -72
x = -4
a club sells 40 tickets to a raffle. issac bought one ticket. the probability that he will win the raffle is
Answers
Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold.
Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold. This is because there is only one raffle winner and it is impossible to predict which ticket will be picked.
It's also crucial to remember that his odds of winning are entirely independent of those of any other ticket holder; nobody else's ticket will affect the outcome of the raffle. As a result, Isaac has the same chance of winning as any other ticket holder. It's also vital to remember that regardless of how many tickets are sold, the likelihood of winning stays the same. Therefore, regardless of how many raffle tickets are sold, there is a 2.5% chance of winning.
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