Answer:
[tex]\frac{10}{7}x^4[/tex]
Step-by-step explanation:
Exponent Rules:There is an exponent rule which essentially states: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
All this is doing is essentially cancelling out the terms, since you can think of it as: [tex]\frac{x^a}{x^b}\implies \frac{x*x*x...\text{ "a" amount of times}}{x*x*x...\text{"b" amount of times}}[/tex], and if you recall, multiplication and division cancel. So we cancel out "b" amount of x's, leaving us with "a - b" amount of x's. Which can also be expressed as: [tex]x^{a-b}[/tex]
We can use this logic to solve our problem: [tex]\frac{20x^6}{14x^2}[/tex], here we can separate this into two different fractions: [tex]\frac{20}{14}*\frac{x^6}{x^2}[/tex] and we can use basic division on the left side and our exponent rule on the right side. This gives us the following: [tex]\frac{10}{7}x^{6-2}\implies \frac{10}{7}x^4[/tex] which is our solution!
Evaluate the expression.
3√4
Answer: 6
Step-by-step explanation:
Let's start by rewriting the expression. Essentially, this is asking us for 3 * (times) √4 (square root of four).
Now, we can solve √4. Since we know that 2*2 = 4. That means that 2² = 4, so essentially, if we take the square root of 4, we will get back to two.
Now, we can solve the rest: 3 * 2 = 6
In the end, 3√4 = 6. Hope this helps!
if wx = 14 and wr= 8, find RZ
The length of RZ is obtained as follows:
RZ = 11.5.
How to obtain the length of RZ?From the kite given by the image at the end of the answer, the segment lengths are given as follows:
WX = 14.WR = 8.Segments WX and WZ are congruent, hence segment WZ has the length given as follows:
WZ = 14.
Then the length of RZ is obtained considering a right triangle, for which:
RZ = x and WR = 8 are the side lengths.WZ = 14 is the hypotenuse.The Pythagorean Theorem states that the length of the hypotenuse squared is equals to the sum of the lengths squared of the sides.
Considering the Pythagorean Theorem, the length RZ is obtained as follows:
x² + 8² = 14².
[tex]x = \sqrt{14^2 - 8^2}[/tex]
x = 11.5.
RZ = 11.5.
Missing InformationThe problem is given by the image presented at the end of the answer.
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15/b=24/11
Round the answer to 1 decimal digit
Answer:
[tex]\huge\boxed{\sf b = 6.9}[/tex]
Step-by-step explanation:
Given equation:[tex]\displaystyle \frac{15}{b} =\frac{24}{11} \\\\Cross \ Multiply\\\\15 \times 11 = b \times 24\\\\165 = 24b\\\\Divide \ both\ sides\ by\ 24\\\\165/24=b\\\\6.9=b\\\\b = 6.9\\\\\rule[225]{225}{2}[/tex]
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours | Total Number of Students
0 | 1
1 | 3
2 | 2
3 | 10
4 | 9
5 | 7
6 | 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
A. 0.74
B. 0.35
C. 0.26
D. 0.11
Answer:
Step-by-step explanation:
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Answer:
0.35
Step-by-step explanation:
Help please and thank you
Answer: By SSS, ΔSUR ≅ ΔTVR.
Step-by-step explanation:
This might be a longer method, but still here you go.
Given, ΔSTU ≅ ΔTSV
By CPCT, we have the following.
∠TUS / ∠RUS = ∠SVT / ∠RVT ---- 1
SU = TV ---- 2
SV = TU ---- 3
∠STU / ∠STR = ∠TSV / ∠TSR
Now, in the triangle TRS,
TR = SR ( ∠TSR = ∠STR) ---- 4
SV= TU
SV - SR = TU - TR (SR= TR)
UR = VR ---- 5
Now, we can use SSS in the triangles ΔSUR and ΔTVR
SU = TV (2)
SR = TR (4)
UR = VR (5)
Therefore, by SSS, ΔSUR ≅ ΔTVR.
Cheers
The change between outputs found by dividing one output by its previous output is called...
The change between outputs found by dividing one output by its previous output is called output elasticity.
What is output elasticity?
Output elasticity is defined as the division of change in output by change in input which is the previous output.
General, elasticity is a concept that is used to measure the change in the aggregate quantity demanded of a good or service in relation to price movements of that good or service.
A product is considered to be elastic if the quantity demand of the product changes more than proportionally when its price increases or decreases.
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2(3 + 2) to the third power minus 6
The value of 2(3 + 2) to the third power minus 6 is 2.187.
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is 2(3 + 2) to the third power minus 6
Mathematically is can be written as [tex]2(3+2)^{\frac{1}{3}-6}[/tex]
Let us solve the exponent part
1/3-6
1-18/3=-17/3
Now [tex]2(3+2)^{\frac{-17}{3}}[/tex]
[tex]10^{-5.6}[/tex]
2.187
Hence, the value of 2(3 + 2) to the third power minus 6 is 2.187.
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Solve the system by substitution.
y= x 9x−2y= −49
Answer:-7,-7
Step-by-step explanation:
A= xIx is a letter in the word tale
What is the cardinal number?
Answer:
Assasination
Step-by-step explanation:
TBH I think this is it. I did some research and this is what I got. weird huh?
Hope this helps :)
What is the solution to this system of equations?
Can you please explain to me what, 232+232 is?
Answer: 464
Step-by-step explanation: 232+232 = 464
Answer:
464 is answer very easy.........
. The cylinder shown below
has a diameter of 5.2 cm on
the base and a height of 7.1
cm. Label the
measurements and find the
volume of the cylinder.
HELP PLS URGENTLYY
Image attached
The correct option regarding the quotient of the two fractions is given as follows:
B. [tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex], no values must be excluded.
How to divide two fractions?The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.
The first fraction for this problem is given as follows:
(4x² + 6)/(x - 2).
The second fraction for this problem is given as follows:
(10x² + 15)/(x² - 4).
Applying the subtraction of perfect squares, we have that:
x² - 4 = (x + 2)(x - 2).
Then the division of the two fractions is given as follows:
(4x² + 6)/(x - 2) x [(x + 2)(x - 2)/(10x² + 15)]
Simplifying the x - 2 terms, we have that:
[tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex]
No values must be excluded, as the denominator would be never zero, as:
10x² + 15 = 0
10x² = -15.
x² is always positive, hence 10x² will never be equals to -15.
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You take one ball randomly from a bag with 10 yellow, 5 orange and 5 green balls. What is the probability that you don’t take a yellow ball.
0
1
1/2
Can not be determined
Answer: The probability of not taking a yellow ball can be found by using the formula:
Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)
In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.
The number of balls that are not yellow is 5 orange + 5 green = 10.
So, the probability of not taking a yellow ball is
Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2
So the answer is 1/2.
Step-by-step explanation:
7.4% of what number is $3.33?
Answer:
Step-by-step explanation:
hi please help
anyone can help?
The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The three expressions in the third row are given below.
4t - 6u, 7t + 4u, and 3t - 2u
The two expressions in the second row are given as,
4t - 6u + 7t + 4u = 11t - 2u
7t + 4u + 3t - 2u = 10t + 2u
The one expression in the first row is calculated as,
11t - 2u + 10t + 2u = 21t
The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.
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Find the distance between the two points rounding to the nearest tenth (if necessary)
(3,2) and (6,0)
Answer:
The distance between two points in the coordinate plane can be found using the distance formula, which is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points are (3,2) and (6,0), so we can plug in the values to get:
distance = √((6 - 3)^2 + (0 - 2)^2)
distance = √((3)^2 + (-2)^2)
distance = √(9 + 4)
distance = √13
So the distance between the two points (3,2) and (6,0) is approximately 3.61 units.
PLEASE ANSWER WITH EXPLANATION
Beth and Alana are playing
Soccer. They both kick a ball
with an initial speed of 40 feet
per second. Beth kicked the ball
at a 55° angle and Alana kicked
the ball a 38° angle. Which
girl's ball went further and
by how many feet?
A) Beth; 1.43 ft
B) Beth; 1.29 ft
C) Alana; 1.38 ft
D) Alana; 1.51 ft
E) Alana; 1.64 ft
Answer: Nicole Kicked the ball Father by 22 feet than Tyrell.
Which girl's ball traveled the furthest, and by how far?The force of gravity caused the soccer ball to return to the girl.
By means of gravity, a planet or other body pulls items toward its center.
It is, in ideal circumstances, abiding by Newton's third law of gravitation and force.
Each action has a corresponding and opposing reaction.
So, when a boy kicks a ball and it comes back, that signifies he is abiding by the law.
Nicole kicked the ball 57 feet
Tyrel kicked the ball 35 feet
Nicole Kicked the ball Father by = 22feet
This is gotten by subtracting the distance Nicole kicked from that of Tyrel
=57 feet - 35feet = 22feet
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2/7 divided by 5/6 in simplest form
Answer:
12/35
Step-by-step explanation:
2/7 / 5/6
= 2/7 x 6/5
= 12/35
What is g(x)?
O A g(x)=-x
OB. g(x)=-lxi
OC. g(x)=-2*
O D. g(x)=-x²
Answer:
c.
Step-by-step explanation:
this graph is exponential equation
find a and b if the points (3, 1) and
(0,2) lie on the grabh of ax-by=6
Answer:
[tex]a=1, b=-3[/tex]
Step-by-step explanation:
[tex](3,1) \implies 3a-b=6 \\ \\ (0,2) \implies -2b=6 \implies b=-3 \\ \\ \therefore 3a-(-3)=6 \implies a=1[/tex]
one number is 2 less than another. their sum is 16
PLS HELP ME
Select ALL!!!!!!! of the inequalities represented by the graph
The linear inequality represented by the graph is defined as follows:
y ≥ -2x + 1.
The ordered pairs that are solutions to the inequality x < -3 are given as follows:
(-5,5).(-4,-3).(-105,0).How to obtain the linear inequality?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the coefficients are given as follows:
m is the slope, representing the rate of change.b is the y-intercept, which is the value of y when the graph of the function crosses the y-axis.The function in this problem crosses the y-axis at y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by one, y decays by two, hence the slope m is given as follows:
m = -2.
The shaded region, considering the solid line, is given by the values to the right of the line, hence the inequality is defined as follows:
y ≥ -2x + 1.
How to obtain the ordered pairs that are solution to the inequality?The inequality for this problem is defined as follows:
x < -3.
The ordered pairs have the following format:
(x,y).
Hence all the ordered pairs that have x < -3, no matter the coordinate of y, are solutions to the inequality.
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Select two numbers that have 9 as their greatest common factor. Mark all that apply.
Answer:18,9
Step-by-step explanation:
9x1=9 9x2=18
Identify the coefficient of each term of the polynomial
Answer:
7 and 4/9
Step-by-step explanation:
You can hire someone without experience for $13 per hour or someone with experience for $19 per hour. You believe the
experienced person increases the sales per customer by $3. Each person handles about 12 customers per hour. Should you hire the
experienced person?
a) Yes
b) No
Answer:
a) Yes
The experienced person costs more per hour, but also increases sales per customer. To determine if it is more cost-effective to hire the experienced person, you would need to calculate the net gain or loss from hiring them.
You can do this by multiplying the increase in sales per customer by the number of customers per hour, and comparing that to the difference in hourly wages.
(12 customers/hour * $3/customer) - ($19/hour - $13/hour) = $36/hour - $6/hour = $30/hour
Since the net gain is positive, it is more cost-effective to hire the experienced person.
Solve for a. Help please!
Answer:
a = √63
Step-by-step explanation:
Pre-SolvingWe are given a right triangle (notice the right angle).
We know that the hypotenuse (the side opposite of the right angle) is 12.
We also know that one leg (a side that makes up the right angle) is 9, and that the other one is a.
We want to find what a is.
SolvingWe can use the Pythagorean Theorem to help us find a.
The Pythagorean Theorem says a² + b² = c², where a and b are the legs and c is the hypotenuse.
Since we already know the values of the legs and hypotenuse, we can substitute these values in the theorem, but let's first label the values of everything to avoid confusion / mistakes.
a = a
b = 9
c = 12
Now, plug into the formula.
a² + 9² = 12²
Simplify:
a² + 81 = 144
Subtract 81 from both sides
a² = 63
Square root both sides to get the value of a.
a = √63
Could you please answe this immediately
The area of the triangle KLM is found using Heron's formula as:
A = 60 in².
Explain the Heron's formula.The semi-perimeter of such a triangle, wherein area needs to be calculated, is represented by the letter s in Heron's formula. The total of the triangle's three sides, divided by two, is the semi-perimeter.S = (a+b+c)/2
where a, b, and c are the triangle's three sides.
The sides of the triangle KLM are:
Let KL : a = 13 in.Let LM : b = 13 in.Let KM : c = 10 in.Then,
Semi perimeter s = a + b + c / 2
s = (13 + 13 + 10)/ 2
s = 18 in
Thus,
s - a : 18 - 13 = 5
s -b : 18 - 13 = 5
s - c : 18 - 10 = 8
By Heron's formula;
area of triangle KLM = √(s - a)(s -b)(s - c)
A = √18*5*5*8
A = 60
Thus, the area of triangle KLM is found using Heron's formula as:
A = 60 in².
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i need help i dont understand it and I need answers.
Answer:
Option 2
Step-by-step explanation:
The associative property of multiplication states that you get the product of the numbers no matter what way you arrange the equation and multiply the numbers, you can begin with any two numbers and go on multiplying with the rest, you get the same product!
PLEASE HELP ME!! I really need help
Answer:
(a) 1/6. One out of six sides will give you the desired result.
(b) 3/6. 3 out of 6 sides will give you the desired result.
(c) 2/3. 4 out of 6 sides will give you the desired result.
