Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
Is (1,8), (2,12), (3,16) (4,20) a function?
An earthworm can travel 24 feet in an hour. Which of the following is equivalent to this rate? a.) 120 inches per minute b.) 4.8 inches per minute c.) 30 inches per minute d.) 0.2 inches per minute
Answer:
B
Step-by-step explanation:
The required equivalent rate is 4.8 inches per minute. Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
= 24 (12 inch) / (60 minutes)
= 4.8 inch per minnute.
Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.
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you rolled a 3 just now? what is the probability the next roll is a 4
Answer: 0.1 :D
Step-by-step explanation:
ethan buys vidio games for 39.99 sale on 20% how much ethan payed
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
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Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
how was William Kamkwamba a teenager in a small village able to build a
windmill to change his own life and life for his village?
Answer:
(hope this helps) He was able to build a windmill by using scraps he found in his village and he kept going back to school and reading books on how to build windmills.
Step-by-step explanation:
malik's solution to the equation \(\frac{2}{5}\)×-4y=10
Answer:
10
Step-by-step explanation:
you put the answer on the board
So I kind of get proofing but I am lost for what you call it when two sides that aren't adjacent are supplementary. Is it just supplementary angles? I want to say either <3 and <1 are congruent or <2 and <3 are congruent. If I could get help on the rest of the problem that would be much appreciated.
Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.
Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.
By the transitive property, angles 2 and 4 are also congruent.
Again, transitively, angles 2 and 3 are supplementary.
Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.
Transitively, angles 5 and 3 are congruent.
These two angles correspond to one another, so lines c and d are parallel.
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
The angle times three out of 10 of the circle what is the measure of the angle
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
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The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
please help me solve this!!!!
Answer:
∞
Step-by-step explanation:
\(\lim_{r \to \infty} [0,9*1,5^r]=0.9 \lim_{r \to \infty} 1.5^r=0.9* \infty=+ \infty.\)
please help
please hurry
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
I Want to Test Somebody, Can you answer this?
Question 1
Solve 6/6- 2/3
A. 5/6
B. 4/3
C. 2/3
D. 2/6
Show your Work :D
Rachel is driving her car at a constant 60 miles per hour. If she drives for four hours, what is the
total distance she drives?
Answer:
240
Step-by-step explanation:
60 x 4
Answer:
240 miles
Step-by-step explanation:
If she's going 60 miles per hour and she drives 4 hours then you multiply those two numbers together and get that she has drove 240 miles.
estimate the value of
\( \sqrt{22} \)
You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine the linear velocity in feet per minute of a point on the edge of the wheel.
Answer:
Linear velocity of point on the edge of wheel having radius of 2 feet and spin rate of 10 revolution per minute is 125.71 feet per minute.
Step-by-step explanation:
Given that radius of wheel = 2 feet
There is a point on edge of the wheel .we need to determine linear velocity of that point.
Let’s first calculate distance covered by a point when 1 revolution of wheel is complete.
When one revolution is complete the distance traveled by a point on edge of the wheel will be equal to circumference of the wheel
In one revolution, point covers distance of feet
So in 10 revolution, point covers distance of
Given that in a minute, wheel takes 10 revolution.
Which means in a minute , point covers feet that is feet per minute = 125.71 feet per minute
Hence linear velocity of point on the edge of wheel having radius of 2 feet and spin rate of 10 revolution per minute is 125.71 feet per minute.
Answer:
126.71 feet per minute
You can use any one of the following reasonable explanations:
I am asked to find linear velocity and am given revolutions per minute. Since there are 2pi radians in 1 revolution, I can convert rpm to radians per minute by multiplying by 2pi. The angular displacement is 20pi radians, so the angular velocity is 20pi radians per minute. Next, I know that linear velocity is equal to angular velocity times the radius.
Using 3.14 for pi and multiplying 20pi by 2 feet, I approximate the linear velocity as 125.6 feet per minute. This linear velocity of 125.6 divided by the radius of 2 feet does give me 62.8 radians per minute. Since 62.8 radians per minute is about 20pi radians per minute, this checks. Linear velocity is arc length over time. I can see if this result is reasonable by finding the arc length.
The circumference of the wheel is 4pi or about 12.5 feet. If a point on the edge of the wheel can travel about 12.5 feet in 1 revolution, then it travels about 125 feet in 10 revolutions. It is reasonable for the linear velocity to be about 125.6 feet per minute.
Step-by-step explanation:
the next question has the explanation. So you can write in your own words.
Multiply revolutions per minute by 2pi to get the angular velocity in radians per minute.
Approximate the linear velocity by multiplying the angular velocity by the radius.
Check the calculation by dividing the linear velocity by the radius to get the angular velocity.
Determine the reasonableness of the answer by finding the arc length for 10 revolutions.
Find the number of students in the class if 2/3 of the students are girls and the number of boys is 21.
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c
3c + 3
2c + 3
2c + c – 3
2c – c + 3
2c + c + 3
Question: What is the complementary angel of 31 degrees?
A.97
B.67
C.57
D.87
Evaluate the expression 2y + 10 + y2 of y=8
The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
The considered expression is 2y + 10 + y²
We need to evaluate it at y = 8
Putting 8 in place of y in the expression, we get:
\(2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90\)
Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.
Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why \(2 \times y\) was written 2y in the expression.
Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
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14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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a local hamburger shop sold a combined total of 613 hamburgers and cheeseburger on Friday. there were 63 more cheeseburger sold than hamburger. How many hamburger were sold on friday
Answer:
275 hamburgers was sold on Friday
Write 6/7 as a decimal rounded to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
6/7% = 6÷7÷100 = 0.0085714286 round to the nearest hundredth = 0.01
for the function determine the intervals of the continuity
The correct option is the third one, the domain is (-∞, ∞).
How to find the intervals of continuity?Here we have the rational function:
f(x)= (x² - x)/x
We can rewrite the numerator as:
x² - x = x*(x - 1)
Replacing that we get:
f(x) = x*(x - 1)/x = (x - 1)
Now this function does not have any problems in the domain (because we removed the variable in the denominator) then the domain of this function is the set of all real numbers, and thus, the correct option is the third one.
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3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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blake bike east at 5m/s. five seconds later he speeds up to 9 m/s.
what is his change in velocity? what is his acceleration?
Answer:
The answer is down below
Step-by-step explanation:
v-u=◇velocity
\( = 9 - 5\)
◇velocity =4ms‐¹
acceleration =◇velocity/time
\(a = \frac{4}{5} \)
\(a = 0.8m {s}^{ - 2} \)
Change in velocity:
\( \sf \:final \: velocity - initial \: velocity = change \: in \: velocity\)
\( \therefore \tt \delta \: v = 9 - 5 \\ \tt = 4m {s}^{ - 1} \)
To find acceleration:
\( \rm \: a = \frac{ \triangle \: v}{\triangle \: t} \)
\( \rm \: a = \frac{ 4}{5 - 0} = \frac{4}{5} = 0.8m {s}^{ - 1} \)