By subtraction of functions, the length of the line segment BC is equal to 79 - 2 · x units.
How to use the subtraction of functions
In this question we find to two line segments that are collinear to each other. Each line is represented by a linear functions, whose length equations are:
AB = 4 · x + 17 (1)
AC = 96 + 2 · x (2)
AB + BC = AC
BC = AC - AB (3)
Then, by (1) and (2) on (3):
BC = (96 + 2 · x) - (4 · x + 17)
BC = 79 - 2 · x
By subtraction of functions, the length of the line segment BC is equal to 79 - 2 · x units.
Remark
After a quick investigation, we conclude that the statement has typing mistakes, correct form is shown below:
If AB = 4 · x + 17 and AC = 96 + 2 · x, then find the expression of BC.
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Explain how to use the circle to figure out the measurement if the angles.
Answer:
You can find the area of a sector of a circle if you know the angle between the two radii. A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.
Step-by-step explanation:
That's the answer
The measure of each angle in the given circle is 120°.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Th given circle is divided into 3 equal parts.
We know that, central angle of circle measures 360°.
Now, each angle measures =360/3
= 120°
Therefore, the measure of each angle in the given circle is 120°.
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I need help with this any one please help me
Answer:
b. y = 1000x
Constant of proportionality = 1,000
Step-by-step explanation:
The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.
Where,
k = constant of proportionality.
From the three given equations, the only equation that takes the form is b. y = 1000x.
The constant of proportionality (k) of the equation = 1,000.
Sub to hudson moore among us gameplay
Answer:
okKkAyYy
Step-by-step explanation:
1 2/3 X 2 5/8
Please helo
Answer:
The answer in whole number form is 4 5/8
Step-by-step explanation:
if sec0=1.1547 then 0=?
round to the nearest thousandth
Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the future value of this ordinary annuity. a. $ 13,782.12 O b. $ 8,223.66 c. $ 21,315.22 O d. non of them e. $ 31,201.08
Answer:
Future value of annuity (FV) = $13,782.12 (Approx)
Step-by-step explanation:
Given:
Periodic payment p = $500
Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)
Number of period n = 5 x 4 = 20 quarter
Find:
Future value of annuity (FV)
Computation:
[tex]Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\[/tex]
Future value of annuity (FV) = $13,782.12 (Approx)
please answer 10 points and brainliest
drag the tiles to correct boxes to complete the pairs.
what x-value makes the set of ratios equivelent?
6
9
16
25
---------
match these with the numbers.
2:3=6:x
4:7=x:42
2x:48=3:12
12:15=x:20
------
please answer quickly i need to get this done by tomorrow.
Answer:
9, 24, 6, 16
Step-by-step explanation:
6/2 = x/3
x = 3*3 = 9
42/7 = x/4
x = 6*4 = 24
48/12 = 2x/3
2x = 4*3 = 12
x = 6
20/15 = x/12
x = 4/3*12 = 16
please help meeeeeeee
Answer:
Bottom left
Step-by-step explanation:
pls help me so I cant be done with school'
Answer:
2 2/5
Step-by-step explanation:
Write a function that could be used to calculate the altitude of a plane arriving at JFK
International airport which was cruising at an altitude of 30,000 before it began its descent at a rate of 3,200 feet per minute. How many minutes would it be before the plane landed. Round your answer to the nearest tenth.
Answer:
The plane landed after 9.4 minutes.
Step-by-step explanation:
Function Modeling
The initial altitude of a plane arriving at JFK International Airport is 30,000 ft.
It then began its descent at a rate of 3,200 feet per minute.
Let's call t the number of minutes since the descent started. If each minute the plane descends 3,200 feet, then after t minutes it descends 3,200t.
This must be subtracted from the initial altitude, thus the altitude H is written as:
H = 30,000 - 3,200t
When the plane landed, its altitude was H=0, thus:
0 = 30,000 - 3,200t
Adding 3,200t:
3,200t = 30,000
Dividing by 3,200:
t = 30,000/3,200
t = 9.375 minutes
Rounding to the nearest tenth:
The plane landed after 9.4 minutes.
Need help I need to show my work also
Answer:
The answer is No solution
Step-by-step explanation:
Solve 3x+ -1/3y = 20 for x:
3x+ −1/3y+1/3y=20+1/3y(Add 1/3y to both sides)
3x=1/3y+20
[tex]3=\frac{1}{3}\frac{}{} y\frac{+20}{3}[/tex] Divide both sides by 3
x[tex]=\frac{1}{9} y +\frac{20}{3}[/tex]
Substitute 1/9y+20/3 for x in−18x+2y=−30
−18x+2y=−30
-18[tex](\frac{1}{9}y +\frac{20}{3} +2y=-30[/tex])
−120=−30 (Simplify both sides of the equation)
−120+120=−30+120 (Add 120 to both sides)
0=90
The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.
a.
0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.
c.
14.55 signifies the cost per minute, and 0.18 signifies the monthly service charge.
b.
0.18 signifies the hourly phone rent, and 14.55 signifies the cost of the hardware.
d.
14.55 signifies the total phone bill, and 0.18 signifies the number of minutes used.
Answer:
i want to say that your answer is going to be C. 0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge
Step-by-step explanation:
Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
Answer:
3
Step-by-step explanation:
You have to equate them so...
5v+2=8v-7
I hope this helps you!
I NEED THIS ASAP PLEASE How can Biosphere 2 help scientists study natural systems? I will vote Brainliest if its correct.:) pls no playing around if u dont know dont answer it.. i need it asap.
Answer:
Biosphere 2 is a unique facility that allows scientists to research ecosystems and environmental effects in a controlled environment. The controlled environment of the biosphere allows researches to obviate uncontrolled variables that might have an unintended effect on their research. This allows for specific hypothesis about the environment to be tested with a higher degree of certainty. They can study how the ecosystem is affected when there are artifically induced limiting factors. The ability of the scientists to control factors in the ecosystem lets them model almost any environment on earth.
Identify each as an equation or and expression.
Answer:
here lets make it easy for you
An expression is a problem WITHOUT an Equal sign
An equation is a problem WITH an Equal sign
Answer:
Equation: 2nd, 5th, and 6th
Expression: 1st, 3rd, and 4th
Step-by-step explanation:
Equations need to have the equal sign and expressions don't have one.
12, 18, x, and 5 are used to calculate an average of 13. What is the missing number?
Answer:
17
Step-by-step explanation:
Given the data:
12, 18, x, 5
Average of the numbers = 13
The value of x will. Be
Sum of 12, 18, x and 5 divided by the number of data values.
Mean(average) = Σ(X) / n
n = number of values
13 = (12 + 18 + x + 5) / 4
13 = (35 + x) / 4
13 * 4 = 35 + x
52 = 35 + x
x = 52 - 35
x = 17
What is the percent of change from 8,000 to 2,000?
Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
It took Juan 6.5 minutes to eat 3.25 sandwiches. How many sandwiches did he
eat per minute?
Answer:
he ate .5 of a sandwich per minute
Step-by-step explanation:
i dont know if im right im just going to say 99% but good luck and sorry if this was late
Answer:
2 sandwiches
Step-by-step explanation
first divide 3.25 ÷ 6.5
then you get 2
so it took him 2 sandwiches per minute
hope this help you .ω.
prove
2 x 3.25=6.5
(-4 + x)/2 = 6 what does x equal?
Answer:
(-4 + x)/2 = 6
-4+x/2 = 6
+4 +4
x/2 = 10
*2 *2
x = 20
Step-by-step explanation:
(-4 + x)/2 = 6
-4+x/2 = 6
+4 +4
x/2 = 10
*2 *2
x = 20
Mr. Harmin is sitting in his office on the third floor of a building. He is at an elevation of 30 feet in relation to street level. Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level. Which statements are true? Check all that apply. Mr. Harmin is closest to street level. Mr. Ehrig is at the lowest elevation. Mrs. White is closest to street level. Mr. Harmin is closer to street level than Mrs. White. Mrs. White is at the highest elevation.
Answer:
Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.
Step-by-step explanation:
Solve for x
4 to the power of 2x divided by 8 to the power x is equal to 32
X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.
What is base and power?Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.
In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:
Whenever a number:
Squared = power is 2
cubed = Power is 3
to the power of n = used for powers more than 3
The data given gives as an equation as followed
⇒ [tex]4^{2x}[/tex] ÷ [tex]8^x[/tex] = 32
⇒ [tex](2^2)^{2x}[/tex] ÷ [tex](2^3)^{x}[/tex] = 32
⇒ [tex]2^{4x}[/tex] ÷ [tex]2^{3x}[/tex] = 32
⇒ [tex]2^{(4x - 3x )}[/tex] = 32 (If the base is same in a division, then the powers
⇒ [tex]2^x[/tex] = 32 can simply be subtracted with the base as common)
⇒ 2 = [tex]\sqrt[x]{32}[/tex]
⇒ 2 = [tex]\sqrt[5]{32}[/tex]
Thus, x = 5
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In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to school. Fifteen of 20 teenagers said they use their own car to get to school. A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093). Which of the following is a correct interpretation of the confidence level?
Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Ninety percent of all samples of this size would yield a confidence interval of (0.5907, 0.9093). (not correct)
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
Ninety percent of all the samples of size 3,000 lie in the confidence interval (0.5907, 0.9093).
There is a 90% chance that randomly selected teenagers will be part of the 75% who drive their own car to school.
Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Step-by-step explanation:
Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.
Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).
i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).
Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Answer:
A) Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Step-by-step explanation:
took the test
Consider the whole numbers from 0 to 9. You may only use each digit ONCE.
Sketch one digit in each of the blank squares to find the SMALLEST possible result.
Answer:
8 ÷ 0 (2+3)^7 x 1 - 9
Step-by-step explanation:
I think this is correct because the result would be zero as 9 ÷ 0 is 0 and 0 anything is zero. I could be wrong tho
Solve the equation below:
-12x + 8 + 5x =36
Answer:
-12x + 8 + 5x =36
-7x = 36 - 8
-7x = 28
x = 28/-7
x = -4
Answer:
-12x+5x=28
-7x=28
x= -4
Simplify the expression (combine like terms): 3x+3x
Can somebody help me with this..
Answer:
W=10 initially every volunteer had 10 total of 50 flyers she took 2 from each so 50-10 that's why they were left with 40
Hope this helps
w=8
Step-by-step explanation:
they made the question complicated. there are x flyers they divided among 5 volunteers. so 2×5 because they take 2 from the five people. so that's 10. after they took 10 flyers they had 40 left. so to begin with they had 50 flyers to begin with. and 50÷5=10 so w=10 if you don't get it I would be happy to explain further just leave a comment. also please mark me brainleist
What is the volume of the rectangular prims ?
They are all different sizes.
Two angles of a triangle measure 55 degrees and 20 degrees. What is the measure of the third angle of the triangle?
Answer:
105 degrees
Step-by-step explanation:
A whole triangle equals 180
55 plus 20 equals 75
180-75= 105
Answer:105
Step-by-step explanation:
HIT THE QUANNN AY HIT THE QUANN I SAY GET DOWN LOW AND SPREAD YA ARMS
Answer:
ok
Step-by-step explanation:
Simplify.
(3x2 + 8x)(2x − 2)
A. 6x3 + 10x2 − 16x
B. 6x3 + 16x2 − 6x − 16
C. 6x2 + 10x − 16
D. 5x2 + 10x − 16
Answer:
6x3+10x2−16x or A
Step-by-step explanation:
I used an algebra calculator because im too lazy to work it out.
^algebra^
(3x2 + 8x)(2x − 2)
=3x²(2x-2)
=6x³ - 6x²
+8x(2x - 2)
=16x² - 16x
put it all together
=6x³ - 6x² + 16x² - 16x
group according to variables, then count
6x³ + (-6x² + 16x²) - 16x
=6x³ + (+10x²) - 16x
=6x³ + 10x² - 16x
FINALLY FOUND, MODERATOR!