Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:91.6
Step-by-step explanation:
The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.
What is a trigonometric function?In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.
sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.
We know that tan Ф = perpendicular / Base
tan 73° = h / 28
tan 73° × 28 = h
3.27 × 28 =h
h = 91.5 ft
Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
Learn more about a trigonometric function;
brainly.com/question/6904750
please helpppppppppp
Answer:
the ANSWER IS D
Step-by-step explanation:
because its multiplication
8 is 16% of (blank) please help (:
Answer:
50
Step-by-step explanation:
8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8
PLEASE HELP I BEG IMMA FAILLLLLLLLL
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
Calculate the measure of the arc PQ.
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
Answer:
124°
Step-by-step explanation:
Inscribed angle PRQ is half the measure of intercepted arc PQ.
1/2(PQ) = 62°
PQ = 124° . . . . . . multiply by 2
It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?
Answer:
6.24
Step-by-step explanation:
13 * .48
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
..................................
Answer: 35 dots
Step-by-step explanation:
please help i dont want to fail final exam
Determine the linear equation modeled by the graph.
Answer:
liner equation
Step-by-step explanation:
do nothing
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
Please help me with this
Answer:
y = 2x
Step-by-step explanation:
A direct proportion follows the equation:
y = kx,'where k is the slope.
We see in the graph the points (0, 0) and (1, 2).
The slope is (2 - 0)/(1 - 0) = 2/1 = 2
The formula is y = 2x.
Answer: y = 2x
Answer:
y=2x
Step-by-step explanation:
When using slope intercept find the slope using either the graph or points on the line and that get you the 2 that in front of x.
the formula means that 2 units of dough are prepared in every hour
pleaseeee help??????
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
What is the range of this graph?
Answer:
I think the answer is (-3,1)
Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
Answers please ASAP!!!
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
a box of 10 balls for $9?
Step-by-step explanation:
because u buy 10 tennis balls for 9 dollars and the first one is not true
becuase u buy 3 balls of tennis with 3 dollars and the last answer is right
becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls
hope it helps
Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Reducing the angle to where the force is more in line with the direction of motion.
Step-by-step explanation:
Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.
Answer:
Decreasing the angle to 10
Step-by-step explanation:
the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations
Answer:
y=1
Step-by-step explanation:
Answer:
x=-1, y=-1
Step-by-step explanation:
Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:
-2x-3=x
-3=3x
-1=x
x=-1
So, because y=x, then y=-1 as well
Solve using elimination 5x+7y=9
2x-3y=-37
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
y=-4(5)x for x=2 Evaluate the problem
Answer:
y = - 100
Step-by-step explanation:
Assuming you mean
y = - 4[tex](5)^{x}[/tex] ← substitute x = 2
y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
PLEASE HELP! WILL MARK BRAINLIEST!!!
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two