Answer:
y = 3/2x + 15/2
or
y = [tex]\frac{3x+15}{2}[/tex]
Step-by-step explanation:
To solve inverse functions, switch the x and y in the equation, then
solve for y.
original equation :
y = (2/3)x - 5
switch x and y
x = (2/3)y - 5
add 5 to both sides
x + 5 = (2/3)y
Multiply both sides by the reciprical of (2/3)
(3/2)(x+5) = (3/2)(2/3)y
distribute and simplifiy
(3/2x +15/2) = y
or
y = (3/2x) +(15/2)
The mass of substances left in a sample
after the liquid is evaporated is called
the total dissolved solids. Kim split up
2 liters of water into three different
samples and boiled all the liquid away
in each. The masses of solids left in the
three samples were 2.025 grams, 457 mg
and 589 mg. Using the table at the right
how should Kim classify the water?
This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.
Why should Kim classify the water as gaseous?Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.
Matter can exist in various states. They are:
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can you help with this please?
f(x)=-2x^2-10x
Find (-5)
Answer:
Hi! this is the answerThe length of the third side is a-2. :))))))))
Step-by-step explanation:
Find the value of
46
83
An outside angle equals the sum of the two opposite inside angles.
x = 83 + 46 = 129
What are the steps you would have to do to make the original triangle into the new triangle?
Answer:
I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.
Step-by-step explanation:
Graph:
Check y intercept and the differences in both values.
Regular triangle:
Imagine te steps being taken or revers the original steps.
work out 9 over 13 of 182 (9 over 13 is supposed to be a fraction)
Answer:
126
Step-by-step explanation:
In math, "of" usually means multiplication.
9/13 of 182 means 9/13 × 182.
9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126
Answer: 126
Answer:
126
Step-by-step explanation:
To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.
182 ÷ 13 = 14
14 • 9 = 126
To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.
126 ÷ 182 = 0.6923
9 ÷ 13 = 0.6923
I hope this helps.
Jeffrey’s recipe for oatmeal muffins calls for 2 1/2 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he uses.
Answer 1 and 2 and I'll mark you brainliest
4.) Which is a statistical question?
(a) How many weeks are in November?
(b) How many students are on the roster for Morehouse Homeroom?
(c) How tall is Reggie?
(d) How many minutes do students wait in line to go home after school?
Answer:
How many students are on the roster for Morehouse Homeroom?
A group of tourists travels 4 hours by car and 7 hours by train. In this time, they go a total of 640 km. What is the speed of the train, if it is 5 km greater than the speed of
the car?
The speed of the train is given by T = 60 km/hr
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let's call the speed of the car "x" (in km/h).
And the speed of the train is "x+5" (also in km/h).
We can use the formula:
distance = speed x time
To write two equations, one for the distance traveled by the car and one for the distance traveled by the train:
The distance traveled by car C = x × 4
The distance traveled by train T = (x+5) × 7
We know that the total distance traveled is 640 km, so we can write:
x × 4 + (x+5) × 7 = 640
Expanding the brackets and simplifying, we get:
4x + 7x + 35 = 640
11x = 605
x = 55
So the speed of the car is 55 km/h. Using this, we can find the speed of the train:
The speed of train T = speed of car C + 5
The speed of train = 55 + 5
The speed of train = 60 km/h
Hence , the speed of the train is 60 km/hr
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Help Asap!!!! No Links!
Answer: 18
Step-by-step explanation:
Start by evaluating in the parenthesis
First simplify the exponents
[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]
Now simplify in the parenthesis
[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]
Now multiply
[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]
Which answer is correct?
Answer:
D and B
Step-by-step explanation:
Because D is saying the negative number is less than, we know it is true.
Because B states that -7.1 is more, it is correct. -7.1 is closer to zero than -7.8, making it a larger number.
Answer:
B. -7.1 > -7.8
D. -6[tex]\frac{3}{5}[/tex] < 6[tex]\frac{2}{5}[/tex]
both B. and D. are correct!
. Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
not answered this question
24 1/2 feet by 12 4/5 feet=?
If the volume of a prism is 30m3 and it’s height is 5m what is the area of the base
Answer:
6[tex]m^{2}[/tex]
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism,
B = 1/2 h(b1+b2) since B is the area of the base
[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula
which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base
What is the area of this trapezoid?
168 ft
221 ft
248 ft
261 ft
Answer:
248
Step-by-step explanation:
18-13 =5
16*5=80/2 because it is a triangle = 40
40+16*13=
40+208+
248
Answer:
248
Step-by-step explanation:
k12 :)
If the area of a circle measures 16cm2 what is the circumference
Answer:
14.18 cm
Step-by-step explanation:
Area = pi r^2
sqrt ( area/pi) = r
diameter is 2 x r and circumference is pi * d
circumference pi * 2 * ( sqrt area/pi) = 14.18 cm
The data set shows the number of cats owned by the members of Taylor's basketball team.
2,0, 1, 2, 4, 1,4,0,3,2
The value that could best measure the center of this data is
Answer:
Mean
Step-by-step explanation:
2,0, 1, 2, 4, 1,4,0,3,2
in ascending order we have
0 0 1 1 2 2 2 3 4 4
There are no outliers here so I would say the mean.
Actual mean = 1.9
3. Write an equation to represent the situation:
A taxi ride costs $6.50 total. The fare was
charged at $1.25 per mile., How many miles did the
taxi travel?
Answer:
Equation would be 1.25m = 6.50.
The taxi traveld 5.2 miles.
Step-by-step explanation:
So we know that they charge 1.25 per mile but we dont know how many miles they traveld.
Our total cost was 6.50. This is imediatly enough information to help build an equation.
Since the amount of the miles travels is unkown, we leave it as "m" but we know it cost 1.25 per mile therfore it makes it 1.25m
Next we do, 1.25m = 6.50 since 6.50 was our total cost.
Now, we solve it! We solve it by simply dividing 1.25 on both sides:
[tex]\frac{1.25m}{1.25}[/tex] = [tex]\frac{6.50}{1.25}[/tex]
When we divide 1.25 by 1.25 we get 1 which leaves it at 0. When we divide 6.50 by 1.25 we get 5.2.
m = 5.2
miles = 5.2
4. What is the height of a triangular sail whose base is 4 meters and area is 20 square meters?
Answer:
pa branliest
Step-by-step explanation:
The height of a triangle is 4 inches more than twice the length of the base
Which fraction is between 0.8 and 0.82?
Please help!!! I dont understand this
Answer:
x=120
Step-by-step explanation:
so if you look at a angle ruler you will see it's 120 so now if you look one up and put it to 120 it would match i wouldn't know how accurate it is but from what i know its 120
1) What are the domain and range of f(x)=-*+7?
Answer:
not clear but it should be 0 because it doesnt make sense
Step-by-step explanation:
Which of the following is a geometric series? 40 50 60 70 40 42 44 46 40 80 40 120 40 20 10 5
The given series 40 + 20 + 10 + 5 is a geometric series.
What is the geometric series?The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.
Let us find the ratio of consecutive terms of each of the given series.
For the series 40 + 50 + 60 + 70
50/40 = 5/4
60/50 = 6/5
Since, 5/4 ≠ 6/5 hence, it is not a geometric series.
For the series 40 + 42 + 44 + 46
42/40 = 21/10
44/42 = 22/21
Since, 21/10 ≠ 22/21 hence, it is not a geometric series.
For the series 40 + 80 + 40 + 120
80/40 = 2
40/80 = 1/2
Since, 2 ≠ 1/2 hence, it is not a geometric series.
For the series 40 + 20 + 10 + 5
20/40 = 1/2
10/20 = 1/2
Since, 1/2 = 1/2 hence, it is a geometric series.
Therefore, D is the correct option.
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What is the area, in square meters, of the trapezoid below?
Step-by-step explanation:
A = 1/2*h(base + base)
Plugging everything in gives you:
1/2*(6.8)(7.5 + 13.7 + 5.3)
((13.7 + 5.3) gives you the bottom base)
First, adding inside the parentheses:
1/2*(6.8)(26.5)
Multiply 6.8 by 26.5(h times bases):
1/2*(180.2)
Lastly, multiply:
A= 90.1 m^2
Hope this helps :)
Which is the better buy?
A. 8 oz for $2.88
B. 10 oz for $4.19
C. 6 oz for $1.98
D. 5 oz for $2.75
Group of answer choices
D
B
A
C
Answer:
C
Step-by-step explanation:
It's more profitable to buy the 6 oz for 1.98 due to the price range and how much you can get with just one purchase of 1.98. Instead of 10 oz for 4.19 or anything else you can double or even triple the amount by buying just the 6 oz more than 1 at a time :)
What is the simplest form of [tex]\sqrt[3]{7} -\sqrt[5]{7}[/tex]
If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is
Answer:
As Per Provided Information
Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .
We have been asked to determine it's surface area.
[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]
where,
w denote width
h denote height
l denote length
[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]
Therefore,
Surface area of rectangular prism is 164 cm².Answer:
Surface area of rectangular prism is 164cm²
Step-by-step explanation:
Given :-
Dimensions of rectangular prism is 3cm , 4cm, and 10cmTo find:-
Surface area of rectangular prismSolution:-
Surface area of rectangular prism :-
2(lb + bh + hl)
putting the known values ,
Surface Area = 2(3×4+4×10+10×3) cm²
Surface area = 2(12+40+30) cm³
Surface area = 164cm²
I need Help ASAP !!!!!!!!!!!!!
Answer:if I’m not mistaken I think it’s -4 I did this assignment too just look around to see I’m not 100% sure
Step-by-step explanation:
35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?
Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
How to model the quadratic equation?From the complete question, the zeros of the quadratic function are:
x = 3 and x = 8
Rewrite as:
x - 3 = 0 and x - 8 = 0
So, the quadratic equation is:
f(x) = a(x - 3)(x - 8)
Also from the graph, we have the following point
(x,y) = (4,60)
Substitute 4 for x and 60 for f(x) in the function
a(4 - 3)(4 - 8) = 60
Evaluate the difference
a(1)(-4) = 60
Evaluate the product
-4a = 60
Divide both sides by 4
a = -15
Substitute a = -15 in f(x) = a(x - 3)(x - 8)
f(x) = -15(x - 3)(x - 8)
Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
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