Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?
Answer:
That's is not Different
Step-by-step explanation:
Including to 2000 and 6666 itself is not Different
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
Answer:
letter A.g(x)=x2+b that's the answer cause g(x) is in the positive
help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Answer:
The one you have selected is correct. 9.5(w+5.7)=77.9
Step-by-step explanation:
Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.
Answer:
9.5(w+5.7)=77.9
Step-by-step explanation:
took the test
Can anyone help me with this one asap? Thanks in advance.
The answer to your question is in the image above.
need some help with these!!
There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?
Answer:
I know answer. give me money I will tell everything..
I'm DJ music is my hobbies what about you:)
Answer:
Playing video games or sumthin
Quadrilateral BCHS is a parallelogram with diagonal BH
intersecting diagonal CS at P.
angle BCH = 3x-3.86
angle CHS = 2x+6.58
Find the measure of angle HSB
Answer:
Step-by-step explanation:
HSB will equal BCH
The four internal angles of a parallelogram sum to 360°
Opposite internal angles are equal.
2(3x - 3.86) + 2(2x + 6.58) = 360
6x - 7.72 + 4x + 13.16 = 360
10x = 354.56
x = 35.456
HSB = (3(35.456) - 3.86) = 102.508°
Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.
Answer:
$4305.60
Step-by-step explanation:
1393 divided by 44 = 31.6590909
that's how much for one training session
so to find the pay for 136 sessions you need to do 31.6590909 x 136
which is 4305.63636
if you round that, you get $4305.60
ratio 12:30 in the form 1:n
In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined
Answer:
The answer is D cannot be determined
Step-by-step explanation:
this is because you don't have enough information
here's my question.
Answer:
use reciprocal
Step-by-step explanation:
calculate each angle measure.
Answer:
m1=90
m2=68
m3=112
m4=112
m5=68
m6=56
m7=124
m8=124
an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?
Answer:
1007/20
Step-by-step explanation:
You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !
Use proportions. X is what you want.
70 50.35lb
__ = _____
100 x
Cross multiply to get 70x = 5035
Solve to get about 71.93 lbs of the alloy.
HELP ME PLEASE !!!!!!!!
what number is its own opposite?
Answer:
0Step-by-step explanation:
what number is its own oppositie?
The number 0 is the only number that is its own opposite.
pls help me right now! and answer correctly
Answer:
8.a 9.d 10.a 11.b
Step-by-step explanation:
this is multiple one .so no steps
4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.
Answer:
2.7 seconds
Step-by-step explanation:
[] Temp of air: 68°F -> 20°C
[] Velocity of sound in air:
[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]
[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]
v ≈ 370.25 m/s
[] Last,
t = [tex]\frac{d}{v}[/tex]
t = [tex]\frac{1,372}{370.25}[/tex]
t ≈ 3.7056 ≈ 2.7 seconds
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?
Answer:
30 %
Step-by-step explanation:
Assumption: the increase is to be expressed as a percentage of 10.
We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.
In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.
However, 1 comes in many forms.
3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.
So 30 100 → 30 %
There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?
Answer:
25%
Step-by-step explanation:
25% of 12 is 3
25% of 8 is 2
5 people out of 20 people
5/20 = 25%
25% percent of the entire class is going on the field trip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
There are 12 girls and 8 boys in Ms. Crabapple's class.
The total number of students
12+8=20
25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,
25% of the girls =0.25×12=3
25% of the boys =0.25×8=2
So the total number of students went to field trip
3+2=5
So out of 20 student, 5 students went to the field trip.
Which means 25% of the entire class is going on the field trip
Hence, 25% percent of the entire class is going on the field trip
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
PLEASE HURRY!! (No links)
Solve the inequality
−2 (k − 5) < −2k + 2
Answer: simplify 0<-8 no solution
Step-by-step explanation:
if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars
Answer:
1 pound = 1.389 dollars ( to nearest thousandth)
Step-by-step explanation:
1 pound = 1/0.72 = 1.388888...
please help me with this sum I will mark you as brainest
Answer:
6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3Hope It's Help
Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.
Answer:
6 km/hr
Step-by-step explanation:
Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.
Solve
[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]
Therefore, it is 6.
Please help! Asap.
I suck at this.
I need to find y
Answer:
y° = 25°
Step-by-step explanation:
Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.
According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles. In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.
Solve for y:Hence, we could simply solve for the value of y algebraically:
m∠y° + m∠90° = m∠115°
y° + 90° = 115°
Subtract 90° from both sides:
y° + 90° - 90° = 115° - 90°
y° = 25°
Double-check:Verify whether we have the correct value for y by solving for x:
Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:
m∠115° + m∠x° = 180°
115° + x° = 180°
Subtract 115° from both sides:
115°- 115° + x° = 180° - 115°
x = 65°
According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.
Hence:
m∠x° + m∠y° + m∠90° = 180°
65° + 25° + 90° = 180°
180° = 180° (True statement).
Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.
Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be
Step-by-step explanation:
check the image for detailed solution
how many feet in 13 miles, 176 yards?
HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...
Answer:
C
Step-by-step explanation:
In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.
A.
1, 2, 4, 6, 8, 10, ...
2/1 = 2
4/2 = 2
It looks like the common ratio is 2, but try the next division: 6/4 = 3/2
It is not 2, so there is no common ratio, and this is not a geometric sequence.
B.
-1, 0, 1, 2, 3, ...
0/-1 = 0
1/0 = undefined
There is no common ratio.
C.
-2/2 = -1
2/(-2) = -1
-2/2 = -1
The common ratio is -1.
This is a geometric sequence.
D.
3/5 = 3/5
1/3 = 1/3
No common ratio.
Answer: C
SLOVE I GIVE BRAINLEST
18+ -27
A. -45
B. -9
C. 9
D. 48
Answer:
B: -9
Step-by-step explanation:
When you add a negative number, you subtract that number.
[tex]18+-27=18-27=-9[/tex]
Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer
Answer:
61.8
Step-by-step explanation:
[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]