The simplified expression of [tex]x^{-2/3} . x^{6/7}[/tex] is [tex]x^{4/21}[/tex]
How to simplify an expression?The expression [tex]x^{-2/3} . x^{6/7}[/tex] can be simplified as follows:
using law of indices,
xⁿ . xᵇ = xⁿ⁺ᵇ
Therefore,
[tex]x^{-2/3} . x^{6/7}[/tex] = [tex]x^{-2/3 + 6/7}[/tex]
[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21}[/tex]
[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21} = x^{4/21}[/tex]
learn more on expression here: https://brainly.com/question/403991
#SPJ1
the tabel show the time merrida spent driving and the number of miles she drove she drove the same number of miles each other
Answer:
35 miles per hour
Step-by-step explanation:
Speed of a car or any other object is given by distance divided by time taken.
therefore,
according to the given data in the table :
speed = miles covered/ time taken
= 140/4 = 35 miles per hour
= 175/5 = 35 miles per hour
= 210/6 = 35 miles per hour
read more speed and distance related questions at
https://brainly.com/question/21791162
#SPJ10
The time series pattern that reflects a gradual shift or movement to a relatively higher or lower level over a longer time period is called the _____.
Answer:
Trend pattern
A square garden has a side length of 5 ft. What is the area of the garden?
O 5ft²
O 10ft²
O 20ft²
O 25 ft²
formula is lsquare so answer is 25ft
What is (-2)-(-2 1/6) and how do i get that answer?
Answer:
1/6
Step-by-step explanation:
-2 - (-2 1/6)
multiply the number in the parentheses by -1
-2 + 2 1/6
-2 + 2 cancels out
Leaving 1/6 as your answer.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5
A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³. Find the radius of the container.
Answer:
The radius of the container is approximately 4.89 cm
Step-by-step explanation:
GivenA container with:
r = hS = 300 cm²To findThe radius of the containerSolutionUse the equation for total surface area of cylinder:
S = 2πr² + 2πrh or S = 2πr(r + h)Since we have r = h and the value of S is known, let's solve this equation:
2πr(r + h) = 3002πr(r + r) = 3002πr(2r) = 3004πr² = 300πr² = 753.14r² = 75r² = 75/3.14r² = 23.89 (rounded)r = √23.89r = 4.89 cm (rounded)Solve for w.
w^2-9w+18=0
Answer:
w = 3 or 6
Step-by-step explanation:
[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]
Which statements about the location of the point are true? Select three options.
What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?
Answer: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
solve the linear system by elimination. 4x-2y=15 2x+2y=3
Answer:
x=3 and y = -3/2
What is the elimination method?A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.
___________________________________
Let's solve your system by elimination.
4x−2y=15;2x+2y=3
4x−2y=15
2x+2y=3
Add these equations to eliminate y:
6x=18
Then solve 6x=18 for x:
6x=18
6x/6 = 18/6 (Divide both sides by 6)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x−2y=15
Substitute3 for x in 4x−2y=15:
(4)(3)−2y=15
−2y+12=15(Simplify both sides of the equation)
−2y+12+−12=15+−12(Add -12 to both sides)
−2y=3
-2y/-2 = 3/-2 (Divide both sides by -2)
y = -3/2
Answer:
x=3 and y = -3/2
#SPJ2
Indira makes a box-and-whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?
The statement that is most likely true is , The mean is less than the median because the data is skewed to the left.
Option E is the correct answer.
What is a Box and Whisker Plot ?The method of representing the variation in a data set is called a Box and Whisker Plot .
A data distribution in which the data is skewed to the left
the mean is less than the median.
A data distribution in which the data is skewed to the right
the mean of the data is greater than the median.
It is given in the question that
The distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value.
this means data is skewed to the left,
Therefore, the statement that is most likely true is , The mean is less than the median because the data is skewed to the left.
Option E is the correct answer.
The complete question is
Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first
quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?
The mean is greater than the median because the data is skewed to the right.
The mean is greater than the median because the data is skewed to the left.
The mean is less than the median because the data is skewed to the right
The mean is less than the median because the data is skewed to the left.
To know more about Box and Whisker Plot
https://brainly.com/question/3209282?referrer=searchResults
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations are - 6x + 15 < 10 - 5x , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.
What is Inequality ?Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.
The given statement is
–3(2x – 5) < 5(2 – x)
On simplifying can be written as
- 6x + 15 < 10 - 5x
- 6x + 15 < 10 - 5x
- 6x < -5 - 5x
- x < - 5
x > 5
An open circle is at 5 and a bold line starts at 5 and is pointing to the right .
Therefore Option C and E are the right answers.
To know more about Inequality
https://brainly.com/question/20383699
#SPJ1
please help!!!!
picture below
Answer:
7 ^ 6x + 2 = 7^15
taking log on both the sides
log 7^6x + 2 = log 7^15
6x + 2 log 7 = 15 log 7
log 7
georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1. if the length of side dc equals twelve inches, what is the length of side ut in the scale drawing?
The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.
The length DC = 12 inches
DC/UT = 4/1
12/UT = 4/1
UT = 12/4 = 3 inches
Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
Learn more about the scale factor here:
brainly.com/question/22312172
#SPJ1
Answer:
3 in.
Step-by-step explanation:
Keep it simple :)
What is the measure (in radians) of central angle & in the circle below?
O
O
O
옥
26
ㅇ 역
12 cmy
0
14 cm
Answer:
7pi/6
Step-by-step explanation:
Using the formula for arc length in radians, we get:
14pi = 12(theta)theta = 7pi/6 [divide both sides by 12]What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?
Visual representation is preferable for working for its attractive charts, graphs etc.
The advantages of the numerical values :
1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.
2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.
The advantages of the visual representations
1. Visual representation gives us an easier way of understanding.
2. Visual representation makes something more interesting to read or solve.
3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.
Which is preferable for working and why?
Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.
Learn more about visual representation here :
https://brainly.com/question/11789470
#SPJ10
Answer:
I myself prefer visual representation because to me it helps to see things visually and for understanding and working with charts and graphs.
Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.
Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.
Step-by-step explanation:
Emma is designing a playground for her neighborhood
park. Her drawing has a scale of 1 cm: 3 feet. The length
of her drawing is 15 cm. What will be the actual lenght of
the playground in feet?
Answer:
45 feet
Step-by-step explanation:
if 1 cm = 3 ft, we can scale up the drawing from there.
We are multiplying each cm by 3, and considering that length to be 3 feet.
If we had 2 cm, (multiply both by 3) we would have 6 feet.
So, if we had 15 cm, we also need to convert this scale length into actual length. We do this by multiplying
15 × 3 = 45
So, we know that the actual length of the playground in feet is 45 feet.
Here is an equation: 5x - 2y = 10
Create 3 equations that result in…
1. 1 solution
2. No Solutions
3. Infinitely many solutions
You should provide three different answers and an explanation why your equations work.
Answer:
one solution from the amount of numbers
Find the perimeter.
15 ft
25 ft
if the 25ft is diagonal in a rectangle
Answer:
P=70ft
Step-by-step explanation:
25^2-15^2=400
Sqrt400=20
2l+2w=P
40+30=70
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
1/11
Step-by-step explanation:
probability =total number of items ÷ 1
=11÷1
=1/11
Absolute value of (-1, -3/7)
The absolute value of -1 is 1 and -3/7 is 3/7.
We have given that,
(-1, -3/7)
We have to determine the absolute value of (-1, -3/7)
What is the absolute value?The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].
Therefore the absolute value of -1 is 1 and -3/7 is 3/7.
To learn more about the absolute value visit:
https://brainly.com/question/24368848
#SPJ1
each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total number of pages you have read after any number of days.
Answer:
15x
Step-by-step explanation:
assum 1 day you read 15 pages then after X day you reads 15*X=15X
last Saturday, 1750 people attended an event at fairway gardens. the admission fee was $3.50 for children and $8.00 for adults. if the total money collected at the event was $9,860, how many children and how many adults attended the event?
Step-by-step explanation:
I don't know on my mommy that Is the answer
Answer:
There were 920 children and 830 adults.
Step-by-step explanation:
Let C be the number of children and A be the number of adults. Set up equations. Using the attendance of 1750 people, we can write:
c+a=1750
Using the total money collected of 9860, we can write:
3.50c+8.00a = 9860
Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c
Substutute (3) to (2) and solve for c:
3.50c + 8.00(1750 — c) = 9860
3.50e+ 14000 — 8.00c = 9860
—4.50e= —4140
c=920
Solve for a using (3):
a=1750 — 920
a=830
So, there were 920 children and 830 adults. (They better have been 6 ft apart)
Someone please explain this step by step:
If\begin{align*}
2x-y&=3,\\
x+y &=1,
\end{align*}compute $8x-7y$.
Answer:
13
Step-by-step explanation:
Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.
__
solving the systemWe notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.
(2x -y) +(x +y) = (3) +(1)
3x = 4 . . . . . . simplify
x = 4/3 . . . . . divide by 3
The value of y can be found from the second equation:
4/3 +y = 1 . . . . substitute for x
y = -1/3 . . . . . . subtract 4/3
expression valueThe value of 8x-7y is found by substituting the x- and y-values into this expression:
8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13
The value of 8x-7y is 13.
_____
Additional comment
You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:
5(2x -y) -2(x +y) = 5(3) -2(1)
10x -5y -2x -2y = 15 -2
8x -7y = 13
__
The coefficients 5 and -2 are found by solving the system of equations ...
a(2x -y) +b(x +y) ≡ 8x -7y ⇒ {2a +b = 8, -a +b = -7}
Helpppppp pleaseeee shoe your work
2p-4p ≤ -2
-2p ≤ 2
[tex]\frac{-2p}{-2} \leq \frac{-2}{-2}[/tex] (Sign flips as both sides it is getting divided by NEGATIVE 2)
p≥1
Interval notation: [1, infinity)
Hope it helps!
Solve this question, and I'll be extremely thankful (:
Thanks to whoever can do this for me!
-
Problem:
Using Scratch (or whatever programming language you are comfortable with), create code that would allow a user to input the legs of a right triangle and the output would be the length of the hypotenuse.
Create a program that finds the leg of a triangle given the hypotenuse and another leg and add an error message if the leg is longer than the hypotenuse.
Send a screenshot when you're done.
Answer:
it is in java and it is also can be done in BlueJ
Step-by-step explanation:
please mark me brainlist
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answer:
A = 27π cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
the central angle of the shaded sector = 360° - 90° = 270° , then
A = πr² × [tex]\frac{270}{360}[/tex]
= π × 6² × [tex]\frac{3}{4}[/tex]
= 36π × [tex]\frac{3}{4}[/tex]
= 9π × 3
= 27π cm²
Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ? Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ?
Using the normal distribution, it is found that the probability that the sample mean is above 80 is of 0.1056 = 10.56%.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 75, \sigma = 24, n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex].
The probability that the sample mean is above 80 is one subtracted by the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{80 - 75}{4}[/tex]
Z = 1.25
Z = 1.25 has a p-value of 0.8944.
1 - 0.8944 = 0.1056.
0.1056 = 10.56% probability that the sample mean is greater than 80.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
Answer:
44.70 US dollars
Step-by-step explanation:
Begin by converting the Euros to US dollars by dividing 250 by 1.3687
250/1.3687=182.655
Then subtract 150
182.655-150=32.655
Multiply by 1.3687 to convert back to US dollars
32.655x1.3687=44.70
What is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2x
The vertex form of the give quadratic equation is f(x) = (x+1)² + 2
Vertex form of an equationThe standard vertex form of a quadratic equation is expressed as
y = a(x -h)² + k
where (h, k) is the vertex
Given the quadratic equation
f(x) = x^2 + 2x + 3
Complete the question
f(x) = (x^2+2x) + 3
f(x) = (x^2+2x+1)-1 + 3
f(x) = (x+1)² + 2
Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2
Learn more on vertex form of an equation here: https://brainly.com/question/17987697
#SPJ1