Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.
by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12
Step-by-step explanation:
1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)
=∑k=1n(k2+k)
=∑k=1n(k2)+∑k=1n(k)
=n(n+1)(2n+1)6+n(n+1)2
=n(n+1)6(2n+1+3)
=n(n+1)6(2n+4)
=n(n+1)6[2(n+2)]
=n(n+1)(n+2)3
2(3x+4)=38
what is the answer
Answer:
x=5
Step-by-step explanation:
1. Distribute
2. Subtract 8 from both sides of the equation.
3. Simplify
4. Divide both sides of the equation by the same term
5. Simplify
6. Solution : = 5
5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A 4:3
B 4:9
C 3:9
D 3:4
Curriculum Associates, LLC
SHOW YOUR WORK
Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March $114,900
April 106,900
May 97,300
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.
Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.
Answer:
Hey bro
Step-by-step explanation:
Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!
Answer:
For any equation X€R But here is Nothing like it.
Step-by-step explanation:
0 = -x^-4 is wrong to say.
If f(x)=8x+2, find the inverse *
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To find the inverse first we need to solve the equation for x ,
Then put x instead of y .
_________________________________
Let's do it...[tex]f(x) = 8x + 2[/tex]
[tex]y = 8x + 2[/tex]
[tex]8x + 2 = y[/tex]
Subtract sides 2
[tex]8x + 2 - 2 = y - 2[/tex]
[tex]8x = y - 2[/tex]
Divide sides by 8
[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]
[tex]x = \frac{y - 2}{8} \\ [/tex]
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Thus ;
[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]
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Can anyone asnwer this ?
What is the value of angle PDV
Answer:
9y+7=2y+98
7y+7=98
7y = 91
y = 13
m<PDV = 2y+98
= 2(13)+98
= 26+98
= 124
Hi! can someone simplify this, thank youu
k-6:5 + 4-k:6= 6k-36+20-5k:30 =
k-16:30
What is the determinant of? –18 –8 10 18
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[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]
[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]
[tex] - 324 + 80 = - 244[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
D
Step-by-step explanation:
Edge
Help me ASAP pls. it means the world to me
Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day
Answer:
11000 meters
Step-by-step explanation:
1km=1000m
5km=5000m
5000+6000=11000m
What is the simplified value of the exponential expression 27}?
оооо
3
9
1/3
1/9
Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.
But, I am assuming that your exponential expression is:
[tex]\:27^{\frac{1}{3}}[/tex]The reason is that my solution would still clear your concept about this topic, no matter what the question is.
Answer:
The simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
Step-by-step explanation:
Assuming the exponential expression
[tex]\:27^{\frac{1}{3}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:27=3^3[/tex]
[tex]=\left(3^3\right)^{\frac{1}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^1[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
[tex]=3[/tex]
Therefore, the simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
Answer:
Step-by-step explanation:
there are a couple ways to find slope
1. Rise over Run Method:
for this method, you use basic counting
to do this, you count the number of x spaces it takes the line to get from one y space to the next
for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces
you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment
so we know the rise is -1 and the run is 3
if you put this into rise/run format, you get 1/-3
so -1/3 is you slope
2. Using the Coordinates
in this line, you see two points
the points are 1. (-1, -1), and 2. (2, -2)
using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)
the x2 is the x value of the second coordinate (2), the x1 is the x value of the first coordinate (-1)
if you plug these it you get: -2 - (-1) / 2 - (-1)
this can be simplified to -2 + 1 / 2 + 1
and simplified again to -1/3
Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.
BRAILLEST just help me answer
Answer:
Hello! What are the questions? You can type them in Comments and I will edit my answer :)
Step-by-step explanation:
Answer:
what are the questions I don't see any?
Step-by-step explanation:
Find the 7th term in the following binomial expansion(4f+t/3)8 in ascending powers of t
Answer:
[tex]\displaystyle T_6=\frac{448}{729} f^2t^6[/tex]
Step-by-step explanation:
Binomial Theorem
Any power of x + y can be expanded into a sum of the form:
[tex]\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}[/tex]
For any given term k, counted from 0 to n:
[tex]\displaystyle T_k={n \choose k}x^{n-k}y^{k}[/tex]
Note if we have to find the 7th term, we have to use k=6. The expression is:
[tex]\displaystyle \left(4f+\frac{t}{3}\right)^8[/tex]
For n=8, x=4f, y=t/3, k=6:
[tex]\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}[/tex]
Calculate:
[tex]\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28[/tex]
Thus:
[tex]\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}[/tex]
Simplifying, the 7th term is:
[tex]\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}[/tex]
HELP!!!
What is the length of KL?
th
3x
Lx+6k
Answer:
KL =9cm
Step-by-step explanation:
IL = KL {being corresponding side of congruent triangle}
or, 3x = x+6
or, 3x-x = 6
or, 2x = 6
or, x = 6/2
or, x = 3cm
Now,
KL = x+6
= 3+6
=9cm
Give the numerator [n] and the denominator [d] after simplifying.
Answer:
Answer would be (n) = x(x+y)(x-2y) and the (d) = y^2
Step-by-step explanation:
Hope it helps
The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6 degrees with the ground. How much longer must the ramp be in order to make the angle 3 degrees? Round the answer to the nearest tenth.
Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at [tex]6^{o}[/tex] to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]6^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 6^{o} }[/tex]
= [tex]\frac{3.45}{0.10453}[/tex]
= 33.0048
l = 33.0 feet
When the angle is reduced to [tex]3^{o}[/tex], the length of the ramp would be;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]3^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 3^{o} }[/tex]
= [tex]\frac{3.45}{0.05234}[/tex]
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.
Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute
Answer:
a) 2211.6812281 rad/min
b) 352 rpm
Step-by-step explanation:
A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute
truck with 24-in.-diameter wheels is traveling at 16 mi/h.
---------
1 mile per hour = 88 feet per minute
16 mi/hr = 1408ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 1408 ft/min / 4pi feet
=~ 352 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 352 rpm × 2× π
= 2211.6812281 rad/min
So, the wheels make [tex]224.20 \ rev/min[/tex].
Angular Sped:
Angular speed measures how fast the central angle of a rotating body changes with respect to time. It is expressed as,
[tex]\omega=\frac{\theta}{t}[/tex]
Given that:
Diameter[tex]=24 \ in[/tex]
Radius[tex]=12 \ in[/tex]
First, we have to find the angular speed([tex]\omega[/tex]):
We use the formula,
[tex]v=\omega r[/tex]
Substituting,
[tex]16 \ mi/hr=\omega \times 12 \ in[/tex] ([tex]\therefore[/tex] [tex]1mile=63360inches, \ and \ 1hour=60min[/tex])
[tex]=\frac{16 \ mi\times \left ( 63360 \ in/mi \right )}{\left ( 1 \ hr\times 60 \ min/hr \right )}[/tex]
[tex]=\omega \times 12 \ in[/tex]
[tex]\Rightarrow 15840 \ in/min=\omega \times 12 \ in[/tex]
[tex]\omega =16896/12\\w=1408 \ rad/min[/tex]
Now, we have to find rev/min:
([tex]\therefore \ 1 \ revolution=2\pi[/tex])
Thus,
[tex]1408 \ rad/min\times1 \ rev/2\pi \ rad=224.20 \ rev/min[/tex]..
Learn more about the topic Angular Speed: https://brainly.com/question/25648667
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
Solve 5x -9= 90 step explanation
Answer:
x = 19.8
Step-by-step explanation:
5x - 9 = 90
5x = 90 + 9
5x = 99
x = 19.8
Hope this helped!
Answer:
19.8
Step-by-step explanation:
5x-9=90
Cancel the 9 on both sides, so you get:
5x=90+9
5x=99
x= 19.8
2. La forma correcta de representar la suma de -6 con-12 es:
a)-12 +-6= - 6 b) +-12 +-6 = c)-6 (+) 12 =
3. El resultado de aplicar la jerarquía de operación es a la cadena
70.5 x 18 + 120 = 4 es:
a) 10
b) 35
c) 50
4. Un corredor de maratón lleva de la carrera. La distancia a cubrir e
esta competencia es de 42 km, ¡qué distancia lo hace falt
Answer:
a) +-12-6
b) 70.5 * 18 = 1,269 + 120 = 1389 - 4 = 1385
c) 18
Step-by-step explanation:
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
Carl simplified this expression. What did he most likely do wrong?How many multiples of 2 does the prime factorization of the number 96 have?
Answer:
2⁵
Step-by-step explanation:
Given:
Number 96
Computation:
96 = 2 x 2 x 2 x 2 x 2 x 3
96 = 2⁵ x 3
So, Number 2 repeat 5 times
Which angle is congruent to angle 3?
I would really appreciate it if someone could help and answer this problem:)
Answer:
Angle 6
Step-by-step explanation:
Angles on opposite ends are congruent if they are formed by the same two lines or in other words, if the two angles are vertical angles.
A weightlifter holds a 1,300 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 600 N. How much work (in J) is required to lift the barbell to a height of 2 m?
Answer: 1750J
Step-by-step explanation:
The work done that will be used to loft the barbell and the hanging chain will be:
W1 = (1300 + (1/2 × 600))
= 1300 + 300
= 1600J
The work done that'll be used in lifting the upper part of the chain will be:
W2 = (1/2 × 600) × (1/2 × 1).
= 300 × 0.5
= 150J
Total work down will be:
=W1 + W2
= 1600J + 150J
= 1750J
show work and ill give u brainliest
Answer:
B. [tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
First you need to get the least common denominator of the left
-7 3/4 and 1/2 the LCD is 4 so...
(1/1) 3/4 = 3/4 (This doesn't have to change since the denominator is already 4)
(2/2) 1/2 = 2/4
Let's make -7 3/4 into an improper fraction = -31/4
Let's make -2 1/4 into an improper fraction = -9/4
Plug back in
-31/4 - 2w + 2/4 [tex]\leq[/tex] -9/4 (collect like terms)
-29/4 - 2w [tex]\leq[/tex] -9/4 (add 29/4 on both sides)
-2w = 5 (divide by -2)
w = -5/2 or -2 1/2
Hope this helps!!
Equations and Graphs of Rational Functions Precalculus 12
A car can travel 450 km in the same time it takes a train to travel 350 km. The car's average speed is 20 km/h faster than the average speed of the train. What is the average speed of the car? Give your answer to two decimal places.
I would just like help with figuring out the right equation for this word problem, because I cannot figure this out.
Answer:
The average speed of the car is 90 km/h
Step-by-step explanation:
The rule of the distance id D = v × t, where
v is the speedt is the time∵ A car can travel 450 km in the same time it takes a train to travel
350 km
→ That means the time of them are equals
∴ Time of the car = Time of the train
→ From the rule above t = [tex]\frac{D}{v}[/tex]
∵ D(car) = 450 km and D(train) = 350 km
∵ The car's average speed is 20 km/h faster than the average speed
of the train
→ Assume that the average speed of the train is x km/h
∴ v(train) = x km/h and v(car) = (x + 20) km/h
→ Use the rule of the time above to find the time of each one
∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]
∵ t(train) = [tex]\frac{350}{x}[/tex]
∵ t(car) = t(train)
∴ [tex]\frac{450}{(x+20)}[/tex] = [tex]\frac{350}{x}[/tex]
→ By using cross multiplication
∵ 450 × x = 350 × (x + 20)
∴ 450x = 350(x) + 350(20)
∴ 450x = 350x + 7000
→ Subtract 350x from both sides
∴ 100x = 7000
→ Divide both sides by 100 to find x
∴ x = 70
∵ x represents the average speed of the train
∴ The average speed of the train = 70 km/h
∵ The average speed of the car = x + 20
∴ The average speed of the car = 70 + 20
∴ The average speed of the car = 90 km/h