Answer:
4096/729
Step-by-step explanation:
To raise a fraction to a power raise numerator and denominator to that power.
(16/9) ^3
4096/729
Answer:
a) 4096/729
Step-by-step explanation:
Given problem,
→ ((-4/3)²)³
Let's solve the given problem,
→ ((-4/3)²)³
→ (-4²/3²)³
→ (16/9)³
→ 16³/9³
→ 4096/729
Hence, answer is 4096/729.
\(\sqrt{4} -2\)
Answer:0
Since
\(} \sqrt{x}\) is something times itself = that number as \(\sqrt{4}\) ,that number is 2, and 2 -2?To easy!
The answer is 0
Hope you have a great day!
The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent increase during this time? Round your answer to the nearest percent.
Answer:
95.7%
Step-by-step explanation:
i think im not too sure im sorry if you get it wrong
Identify whether the statement represents an exponential function. The value of a coin collection has increased by 3.25% annually over the last 20 years. o Yes, the statement represents an exponential function. O No, the statement does not represent an exponential function. Show your work and explain, in your own words, how you arrived at your answer.
Therefore, the statement represents an exponential function.
The given statement, "The value of a coin collection has increased by 3.25% annually over the last 20 years" represents an exponential function.Exponential functions refer to the mathematical operations where a constant is raised to the power of the variable x and this variable is the input, and the exponential function is the output.The given statement represents the exponential function because the value of the coin collection is increasing by 3.25% every year, which means it is compounding. Compounding interest is an essential feature of an exponential function since it increases in a compound way. The formula for compound interest is given as:`A=P(1+(r/n))^nt`Where,A is the final amount,P is the principal amount,r is the annual interest rate,n is the number of times the interest is compounded per year,t is the time in years.The compound interest formula reflects the exponential growth model because of the exponent. Also, the coin collection's value is continuously growing and, the longer it takes, the more its value increases.Therefore, the statement represents an exponential function.
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18= 5m + 3 .. what would b m?
Answer:
m=3
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
Answer:
m=3
Step-by-step explanation:
Simplifying
18 = 5m + 3
Reorder the terms:
18 = 3 + 5m
Solving
18 = 3 + 5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-5m' to each side of the equation.
18 + -5m = 3 + 5m + -5m
Combine like terms: 5m + -5m = 0
18 + -5m = 3 + 0
18 + -5m = 3
Add '-18' to each side of the equation.
18 + -18 + -5m = 3 + -18
Combine like terms: 18 + -18 = 0
0 + -5m = 3 + -18
-5m = 3 + -18
Combine like terms: 3 + -18 = -15
-5m = -15
Divide each side by '-5'.
m = 3
Simplifying
m = 3
hope this helps
How do you write an equation for a parabola with the vertex and Y intercept?
To write an equation for a parabola with the vertex and y-intercept, the equation of vertex form y=a(x-h)^2+k is used.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
Consider an example where vertex is (2,1) and y-intercept is (0,-3).
The equation of parabola needs to be deduced using these points.
The equation of a parabola in vertex form is -
y=a(x-h)^2+k
Here, a is a constant and (h ,k) are the coordinates of the vertex.
So, (h,k)=(2,1)
⇒y=a(x−2)^2+1
To obtain the value of a, substitute (0,−3) into the equation -
-3=4a+1
4a=-4
a=-1
⇒y=-1(x−2)^2+1
Now, distribute and simplify -
y=-1(x−2)^2+1
y=-(x^2-4x+4)+1
y=-x^2+4x-4+1
y=-x^2+4x-3
On, graphing this equation a parabola is obtained.
Therefore, to write an equation of parabola vertex form is used.
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Which shows the rational expression written using the least common denominator?
Answer:
The answer is D
Step-by-step explanation:
I just took the quiz
Answer:
The answer would be the 4th option
Step-by-step explanation:
Find the measure of each missing angle.
The measure of angles are:
3. <1 = 63, <2= 49, <3= 87, <4= 44
4. <1= 52, <2= 79, <3= 38
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments. When the values of the other two angles are known, one can utilise the angle sum property to determine the measure of an unknown interior angle.
3. <3 + 93=1 80 (linear pair)
<3 = 87
<2 = 49 (Vertical opposite angle)
<3 + <4 + 49= 180 (Angle sum property)
87 + <4 + 49= 180
<4 = 44
and, <2 + <1 + 68= 180 (Angle sum property)
49+ <1 + 68= 180
<1 = 63
4. <3 = 38 (alternate interior angle)
<2 + <3 + 63= 180 (Angle sum property)
38+ <2 + 63= 180
<2 = 79
and, <1 + 90 + 38= 180 (Angle sum property)
<1= 52
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In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err
Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.
To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.
To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.
Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.
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8 : 16 = 1 : x
fill the x with an answer
Answer:
1 : 2
Step-by-step explanation:
Given
8 : 16 ← divide both parts of the ratio by 8
= 1 : 2 ← in simplest form
Evaluate the following expressions
Answer:
265
Step-by-step explanation:
9+(8x8x8/2) = 9+(512/2) = 9+256 = 265
is this relation a function
Answer:
No it isn't a function. never seen it before
5. To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. Which is the slowest average rate, in minutes per mile, Nora could run to qualify for the state cross-country championships?
a) 7.2 b) 7.4 c) 7.5 d) 7.8
Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.
To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:
average rate = total time / total distance
If she runs at the slowest rate possible to still qualify, then her average rate would be:
average rate = 30 / 4 = 7.5 minutes per mile
Therefore, the correct option is c) 7.5.
If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.
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Part a: during what interval(s) of the domain is the water balloon's height increasing?
you don't have to answer the question completely. i simply need help in understanding this. i know quite a bit already.
is the answer (0 < x < 2 ?
Based on the information provided, the suggested interval (0 < x < 2) could potentially be an interval during which the water balloon's height is increasing.
In general, if the height of the water balloon is increasing, it means that as time progresses, the height of the balloon is getting larger. This corresponds to a positive rate of change of the height with respect to time.
If we have a function that describes the height of the water balloon over time, we can calculate the derivative of that function with respect to time. If the derivative is positive within the interval (0 < x < 2), it means that the height is increasing during that interval.
However, without the specific function or more information, it is not possible to determine with certainty whether the water balloon's height is increasing within the given interval.
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8. The yearbook club is selling hamburgers and hot dogs for a fundraiser. Hamburgers are $4 each and hot dogs are $2 each. They earn a total of $64. They sell 22 total hamburgers and hotdogs. How many of each did they sell?
Answer:
12 Hotdogs & 10 Hamburgers
Step-by-step explanation:
H - Hamburgers ; D - Hot Dogs
First make two equations :
H+D=22 ; since we sold 22 of both in total
4H+2D=64 ; since the total amount of money raised was $64
Now, use elimination to solve
-4(H+D=22) ; multiplying the first equation by -4 so that the H cancels out
-4H-4D=-88 + 4H+2D=64
4H +2D =64
-4H -4D =-88
-2D=-24
D=12
Then substitute D into an equation
H+12=22
H=10
Checking
4(10)+2(12)=64
40+24=64
64=64
So, the yearbook club sold 12 hot dogs and 10 hamburgers
10 Hamburgers
12 Hot Dogs
The ways I showed are not the only ways you could do this, the most important parts are getting the right equations and checking your work
if 5 builders take 5 days to make 5 walls, how long would it take 100 builders to make 100 walls? days
To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.
Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.
(5 workers) x (5 days) = 25 worker-days;
25 worker days/5 walls = 5 worker days per wall.
With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.
100 x 5 = 500 worker days;
500 worker-days / 100 workers = 5 days (answer)
Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?
Answer:
3/7 (simplified)
Step-by-step explanation:
The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.
I AM GIVING BRAINLIEST TO WHOEVER ANSWERS, IF IT SAYS IT'S ALREADY ANSWERED, IT'S A LINK. PLEASE HELP ME :D
32/100 simplest form
Answer:
8/25 is the simplest form
Find the common difference of the
arithmetic sequence -6, -13, -20, ...
Answer:
-7
Step-by-step explanation:
A registered golden retriever has a litter of 11 puppies. Assume that the probability of a puppy being male is 0.5. What is the probability at least 7 of the puppies will be male?
The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.
P(X ≥ k) = 1 - P(X < k)
where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.
We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.
P(X=k) = nCk * pk * (1-p)n-k
where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:
P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)
P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125
P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375
P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438
P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875
P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375
P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125
P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875
P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805
Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.
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6.9 cm
9.8 cm
12 cm
B
Which expressions can be used to find m
three options.
□ cos-¹52
s-199
cos
O sin ¹2
O sin ¹2
O tan
6.9
We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".
We would need additional information or context to determine what "m" represents and how it is related to the given options.
need help with this and the writing part
Hunter made a mistake in calculating the volume of the rectangular prism, hence he may have chosen the wrong formula.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
2m, 3m and 5m.
Hence the volume of the prism is given as follows:
V = 2 x 3 x 5
V = 30 m³.
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In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/3 of the drink is apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
The ratio of cranberry juice to apple juice to orange juice in its simplest form is 1 : 2 : 3.
We have,
Let's assume that the drink contains a total of x units of liquid.
Now,
1/3 of the drink is apple juice, which is (1/3)x units of apple juice.
1/2 of the drink is orange juice, which is (1/2)x units of orange juice.
The rest of the drink is cranberry juice, which is x - (1/3)x - (1/2)x = (1/6)x units of cranberry juice.
To write the ratio of cranberry juice to apple juice to orange juice in its simplest form, we need to express these quantities in terms of a common unit.
So,
(1/3)x = (2/6)x
(1/2)x = (3/6)x
(1/6)x = (1/6)x
Therefore,
The ratio of cranberry juice to apple juice to orange juice is:
(1/6)x : (2/6)x : (3/6)x
Simplifying this ratio by dividing all terms by the greatest common factor of 6.
1 : 2 : 3
Therefore,
The ratio of cranberry juice to apple juice to orange juice in its simplest form is 1 : 2 : 3.
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The airspeed of an airplane is 850 km/hr, and there is a wind blowing southwest at 30 km/hr.
If the airplane needs to head due south, at what angle does the pilot need to fly the plane?
Answer:
α = αG − αZL
thos is the equation for the absoulute angle of attack
Answer + method / explanation please
The expressions for the lengths of the segments obtained using vectors notation are;
a. i. \(\overrightarrow{LA}\) = q - (1/2)·p ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)
b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;
\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)
What are vectors?A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)
a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) = \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)
\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p
\(\overrightarrow{LA}\) = q - (1/2)·p
ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × (p - q)
b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)
\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)
\(\overrightarrow{LA}\) = q - (1/2)·p
\(\overrightarrow{AN}\) = (2/7) × (p - q)
Therefore;
\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)
\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)
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Ben measures the length of the street he lives on to be 80 000 cm. What is the street length in kilometres?
(1km 100 000 cm)
Answer:
.8Km
Step-by-step explanation:
There is exactly 100,000 CM in every KM, if someone such as Ben was to measure out 80,000, to convert to KM you'd take the given value and divide by the appropriate values.
80,000cm / 100,000cm = .8 KM
Option 1: Tram Fancy Baloons has offered to sell its balloon bouquet for a fixed down payment of $30 and an additional charge of $3.25 per bouquet. Write an algebraic rule that will determine the cost of "c" balloon bouquets
1) When we talk about a down payment we are referring to a payment done at the moment of purchase. In this case, the down payment is $30.
2) The other part of the cost is dependent on the number of bouquets.
3) Therefore, we can write out the following model, a linear one for this:
\(C(b)=3.25b-30\)All that is necessary is to plug into b the number of bouquets.
Thus, this is the answer.
Select the correct answer.
Consider this function.
f(x) = 6log₂x - 3
Over which interval is function f increasing at the greatest rate?
OA. [2, 6]
OB. [1/8, 1/2]
OC. [1, 2]
OD. [1/2,1]
The function f(x) = 6log₂x - 3 increasing at the greatest rate in the interval [1/8, 1/2].
What are maxima and minima?The maxima and minima of a function are the extreme values within the range; in other words, they are the maximum and minimum values of a function, respectively, at a given position.
Let the function be f(x) = 6log₂x - 3
For the interval x ∈ [2, 6]
f(x) ∈ [-0.678, 3]
For the interval x ∈ [1/8, 1/2]
f(x) ∈ [ -9.96, -5.32]
For the interval x ∈ [1, 2]
f(x) ∈ [-3, -0.67]
For the interval x∈ [1/2, 1]
f(x) ∈ [-5.32, -3]
The function increased most rapidly in the interval [1/8, 1/2], as can be seen from the function value and its interval values.
Therefore, the range [1/8, 1/2] is where the function f(x) = 6log₂x - 3 increases at the fastest pace.
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2.
If you were to flip a coin 20 times, what is the probability
you would get at most 13 heads?
a) .9423
b) .1316
c) .0577
d) .0739
Answer:
A) .9423
Step-by-step explanation:
The chance of getting at most 13 heads is 0.9423
Complete the table is it 99 and 68???
In the given cyclic quadrilateral the measure of angle B is 81° and the measure of angle C is 112°.
In the given cyclic quadrilateral ABCD, ∠A=68° and ∠D=99°.
Cyclic quadrilaterals are quadrilaterals that can be inscribed in a circle. All of the vertices of a cyclic quadrilateral lie on the circumference of the same circle. This implies that the four sides of a cyclic quadrilateral are all taken by elements of the circumference and can all be expressed in terms of the same radius.
Opposite angles of cyclic quadrilateral are adds to 180°.
Here, ∠A+∠C=180°
68°+∠C=180°
∠C=180°-68°
∠C=112°
∠B+∠D=180°
∠B+99°=180°
∠B=180°-99°
∠B=81°
Therefore, in the given cyclic quadrilateral the measure of angle B is 81° and the measure of angle C is 112°.
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