Answers
The linear function from the table is given as follows:
C(t) = 80t + 22.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The parameters of the definition of the linear function are given as follows:
m is the slope.b is the intercept.When t increases by 1, c(t) increases by 80, hence the slope m is given as follows:
m = 80.
Hence:
C(t) = 80t + b.
When t = 1, C(t) = 102, hence the intercept b is given as follows:
102 = 80 + b
b = 22.
Hence the equation is:
C(t) = 80t + 22.
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Related Questions
What is the root of 320 simplified?
Answers
Answer:
17.9 i think is the answer
Step-by-step explanation:
The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?
Answers
Answer:
Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138
Step-by-step explanation:
360 - 222 = 138
the answer to your question is 138degrees.
For any shape the exterior angles will always add up to 260 degrees.
Hope this helps in the future!
Answer:
360 - 222 = 138
the answer to your question is 138degrees.
For any shape the exterior angles will always add up to 260 degrees.
Step-by-step explanation:
The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.
cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)
Answers
Answer:
8(cos35)
Step-by-step explanation:
Your welcome.
The expression that models the height is 8 cos35
SOH CAH TOA identityFrom the given information, we have the following
Hypotenuse = 8metersHeight = adjacentUsing the SOH CAH TOA identity
cos theta = adj/hyp
cos 35 = adj/hyp
cos 35 = adj/8
Hyp = 8 cos35
Hence the expression that models the height is 8 cos35
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In AHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ZH to the nearest degree.
Answers
Answer:
38°
Step-by-step explanation:
Delta math
Br uh don’t even type “I can’t see the pic” Solve both problems and show ur work
Answers
Answer:
1.22
53.08
Step-by-step explanation:
4. We can find the quarter circle, we can find the whole triangle, lets do that
The circle is, 1/4*(1)^2*pi, which is 1/4pi
The triangle is, 2 * 2 divided by 2, which is 2
2 - 1/4pi gives us the shaded part or
2 - 1/4*3.14
2 - 0.785 = 1.215 rounded to 1.22
5. The area of a cylinder is pir^2h. r is 10, h is 1.2
12pi cm^3
we have 20 m^3 which is 2000 cm^3
Let's divide,
2000/37.68 = 53.078, rounded gives us 53.08
The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124
Answers
Answer:
J. 114
Step-by-step explanation:
x + y = 25
x - y = 13
2x = 38
x = 19
x = 25 - 19
x = 6
xy = (6)(19)
xy = 114
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answers
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Math problem please help
Answers
Answer:
The second one and the last one
Step-by-step explanation:
The third quadrant is of all negitive. The reason it is, is because it is on the left side of the x axis which makes it go lower like subtracting and dividing, then it is on the bottom half of the y axis which again is the same reason
i hope i helped and have a great day!
Answer:
B and D
Step-by-step explanation:
because in the 3rd quadrant both the x and y will be negative
1st quadrant all x and y are positive
2nd quadrant y are positive but x are negative
and in 4th quadrant x are positive and y are negative.
if brainiest is earned its greatly appreciated
For every pound a company spends on advertising, it spends £0.45 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
Answers
3. What do you call a polynomial with 3 terms?
Answers
Answer:
it's called a trinomial
SO HARDDD
What is the square root of 267.8?
lol
“Stay close to anything that makes you glad you are alive.” – Hafez.
C h a t here Bradyn and Lis, plz. I keep getting logged out when I use the other one :p
Answers
Answer:
16.3645959315
Step-by-step explanation:
I need help with these 2
Answers
x+2+x+2+2x+4+2x+4
=6x+12
When doing this kind of problem you should use FOIL
First, Outer, Inner, Last
(x+2)(2x+4)
First- x•2x= 2x^2
Outer- x•4= 4x
Inner- 2•2x= 4x
Last- 2•4= 8
Combined you have
=2x^2+8x+8
Can someone help me with my this?!
Answers
Set 6x = 9x-27
Then solve
Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )
Answers
Answer:
B) 2,340
Step-by-step explanation:
I need help with math
Answers
Answer:
0,-2 0,-5
2,-3 1,-4
Step-by-step explanation:
Like seriously I gat no idea what the the answer is
Answers
is the expression a^12 x a^4 equivalent to a^8 x a^8
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Properties of indices.
Here, we have to prove that, if the above exponential equation are equal or not., let's prove it
1.)L.H.S
a^12*a^4 = a^m*a^n ===> a^(m+n)
hence, a^(12+4) ===> a^(16)
2.) R.H.S
===> a^8*a^8 = a^(8+8) ==> a^(16)
since here, LHS = RHS
so both are equal.
The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?
Answers
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
Use the volume formula to find the volume of the prism.
A. 21 cubic units
B. 27 cubic units
C. 42 cubic units
D. 9 cubic units
Answers
Answer: A
Step-by-step explanation:
Ax
A boy visiting New York City views the Empire State building from a point on
the ground, A, which is 940 feet from foot, C, of the building. The angle of
elevation of the top, B, of the building as seen by the boy is 53 degrees. Find the
height of the building to the nearest foot.
Answers
Answer:
49,820
Step-by-step explanation:
so what you were going to do first is you're going to do 940 * 53 there is which equals 2820 and then you're going to do turtle messes so then you're going to do 5 * 0 which equals zero then five times for which equals 20 + 5 * 9 which equals 45 + 2 which 45 + 2 equals 47 so you have 2820 + 47000 which equals 49,820
Two supplementary angles are in the ratio of 5 to 7. Find positive difference of the measure of the two angles. Do the same problem, only do it for complementary angles instead of supplementary angles.
Answers
Answer:
30° is the difference if they are supplement
15° is the difference if they are complementary
Step-by-step explanation:
Let 5x = the measure of the smaller angle
and 7x = the measure of the larger angle
If they are supplementary, then 5x + 7x = 180
12x = 180
x = 15
5x = 5(15) = 75 = the measure of the smaller angle
7x = 7(15) = 105 = the measure of the larger angle
105 - 75 = 30 = difference of the measures
Now, if they are complementary, then 5x + 7x = 90
12x = 90
x = 7.5
5x = 7(7.5) = 37.5 = the measure of the smaller angle
7x = 7(7.5) = 52.5 = the measure of the larger angle
52.5 - 37.5 = 15 = difference of the measures
Which of the following is equivalent to sec x ?
A)adj/opposte
B)hypotenuse/adjacent
C)hypotenuse/opposite
Answers
The secant is a reciprocal of cosine.
On average, A person spends $240 every 3 months on their cell phone bill... What would the price be for 1 month be?... How much would this person pay over the course of one year?
Pls help me asap!!
Answers
Answer:
$81 for 1 month
$972 for 1 year
Step-by-step explanation:
Answer:
$80 for one month and $960 over the course of one year
Step-by-step explanation:
240 / 3 = 80
12 x 80 = 960
umm pls help me ik how to do it but not sure on this specific one
Answers
9514 1404 393
Answer:
-8, +9
Step-by-step explanation:
You need factors of (6)(-12) = -72 that have a sum of +1.
From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.
6x^2 +x -12
= 6x^2 +9x -8x -12
= 3x(2x +3) -4(2x +3)
= (3x -4)(2x +3)
There are 5 4/5 cups of milk left in a carton. Write 5 4/5 as an improper fraction. Explain what the fraction represents in this situation.
Answers
Answer:
29/5
Step-by-step explanation:
multiple 5 times 5 to get 25 then at the 4 to get 29.
there are 29/5th cups of milk
CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.
A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4
I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.
Answers
Answer:
B. v(t) = sin(t) + cos(t) + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Function NotationCalculus
Antiderivatives - Integrals
Integration Constant C
Solving Integration Equations
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.
[tex]\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt[/tex]
Step 1: Define
a(t) = cos(t) - sin(t)
v(0) = 3
Step 2: Integrate
Set up integral: [tex]\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt[/tex][integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt[/tex][Integral] Trig integration: [tex]\displaystyle v(t) = sin(t) - [-cos(t)] + C[/tex][Velocity Integration] Simplify: [tex]\displaystyle v(t) = sin(t) + cos(t) + C[/tex]Step 3: Find Function
We need to solve for the entire function, meaning we need to find constant C.
Substitute in given point [Velocity Integration]: [tex]\displaystyle v(0) = sin(0) + cos(0) + C[/tex][Velocity Integration] Substitute: [tex]\displaystyle 3 = sin(0) + cos(0) + C[/tex][Velocity Integration] Evaluate trig: [tex]\displaystyle 3 = 0 + 1 + C[/tex][Velocity Integration] Add: [tex]\displaystyle 3 = 1 + C[/tex][Velocity Integration] Isolate C [Subtraction Property of Equality]: [tex]\displaystyle 2 = C[/tex][Velocity Integration] Rewrite: [tex]\displaystyle C = 2[/tex][Velocity Function] Substitute in C [Velocity Integration]: [tex]\displaystyle v(t) = sin(t) + cos(t) + 2[/tex]Topic: Calculus
Unit: Basic Integration
Book: College Calculus 10e
a. a triangle with one right angle and two congruent sides
Answers
Answer:
is an isosceles right triangle, angles 45, 45, & 90 degrees
Step-by-step explanation:
I really don't understand help
Answers
Answer:
128 ft sq.
Step-by-step explanation:
The way you find the area of a square is by multiplying one side by another, and since it is a square, the sides are the same. This means that if we have a square with a side length of x, the way to find the area of that square is to multiply x by x, which can be written as [tex]x^2[/tex]. Now, since we're doubling this, we can say that double Mary's garden is [tex]2 * x^2[/tex]. If we substitute 8 in for x, we have to multiply [tex]8^2[/tex] by 2 or 8 by 8 by 2 to find our answer. 8 times 8 is 64 and 64 times 2 is 128.
A group of friends were working on a student film that had a budget of $900. They used 33% of their budget on equipment. How much money did they spend on equipment?
Answers
They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*33/100=9*33=297 dollars on equipment.
The amount used on equipment is $297.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Budget = $900
Percentage of the budget used.
= 33%
Now,
The amount of budget used.
= 33% of 900
= 33/100 x 900
= $297
Thus,
The amount used on equipment is $297.
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what will A scale factor that is less than one produce
Answers
Answer:
When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
Step-by-step explanation:
:)