f (15) = $142.50
i hope this help you!
We know that:
Harrison gets $9.50 per hour of work.
He can work a maximum of 15 hours per week.
He needs to earn a minimum of $28.50 per week.
A) We want a function f(h) that tells how much he wins in a week if he works h hours.
So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:
f(h) = $9.50×h
B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).
We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:
$9.50×h = $28.50
h = ($28.50)/($9.50) = 3
Then we can conclude that the domain is:
D = [3, 15]
To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:
f(3) = $28.50
f(15) = $142.50
Then the range is:
R = [$28.50, $142.50]
If you want to learn more, you can read:
https://brainly.com/question/9446123
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
area of shaded region = 7478 rounded off to the nearest whole number
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
True or false: The following table is linear.
The table is linear because it goes up at a consistent rate each time.
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
Learn more about circumference of the circle here:
https://brainly.com/question/14200825
#SPJ2
Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choiceHURRY PLEASE IM NEED HELP!!!!!!
Answer:
I can barely see it can you make it bigger somehow
Step-by-step explanation:
Can any one answer everything
Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.
Answer:
it will take his cat 60 days to finish the entire bag
Step-by-step explanation:
City officials are putting a garden around a memorial site as shown below.
Part A Determine the area of the memorial site in terms of x.
Write your answer as a trinomial and include units. Show or explain your work.
Part B The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work
Answer:
I only remember how to do part A, so sorry for using up an answer.
Step-by-step explanation:
Part A:
[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]
(I also don't know if this is the form you need it in, but I hope I could help a little.)
The area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
What is Area of Rectangle?The area of Rectangle is length times of width.
(a) The area of the memorial site is given by multiplying the length and width:
Area = (4x + 7)(3x + 5)
Expanding this expression using the distributive property, we get:
Area = 12x²+ 41x + 35
Therefore, the area of the memorial site is 12x² + 41x + 35 square units.
(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.
Length of garden = 3(4x + 7) = 12x + 21
Width of garden = 3(3x + 5) = 9x + 15
Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.
(c) The area of the garden is given by multiplying the length and width:
Area of garden = (12x + 21)(9x + 15)
=108x²+180x+189x+315
=108x²+369x+315
Hence, the area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
To learn more on Area of Rectangle click:
https://brainly.com/question/20693059
#SPJ3
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
Graph y= - |x-3| +4
Answer:
x-1 y-2
x-2 y-2
x-3 y-4
Step-by-step explanation:
graph the points. It should look like a triangle without the bottom.
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
30 is what percent of 40?
Answer:
it is 75% sheeeesh. jdjdjd
Step-by-step explanation:
3/4
Answer:
75%
Step-by-step explanation:
Let the answer be 'x'
40 × x/100 =30
40x/100 = 30
40x= 3000
x =3000÷40
x= 75
thus 30 is 75% of 40
50 points if correct and a brainly
A sequence can be generated by using an=an−1+3, where a1=4 and n is a whole number greater than 1. What are the first 5 terms in the sequence?
4, 12, 36, 108, 324
3, 12, 48, 192, 768
4, 7, 10, 13, 16
3, 7, 11, 15, 19
Answer:
4,7,10,13,16
Step-by-step explanation:
I sub
Solve by factoring
x^2-x-46=3x-1
Answer:
x=9 and x=-5
Step-by-step explanation:
x^2-4x-45=0
(×-9)(x+5)=0
x=9 and x=-5
What is the prime number that is between 21 and 28
Please help quick
Answer:
23
Step-by-step explanation:
Please help due in 5 minutes
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
t=4s+2 complex tablet
Answer:
Value of t = 2 when value of s = 0
Value of t = 6 when value of s = 1
Value of t = 10 when value of s = 2
Value of t = 14 when value of s = 3
Step-by-step explanation:
Given Equation:
t = 4s + 2
Complete the table if values of s are as follows;
s = 0
s = 1
s = 2
s = 3
Computation:
t = 4s + 2
By putting s = 0
So,
t = 4s + 2
t = 4(0) + 2
t = 0 + 2
Value of t = 2 when value of s = 0
By putting s = 1
So,
t = 4s + 2
t = 4(1) + 2
t = 4 + 2
Value of t = 6 when value of s = 1
By putting s = 2
So,
t = 4s + 2
t = 4(2) + 2
t = 8 + 2
Value of t = 10 when value of s = 2
By putting s = 3
So,
t = 4s + 2
t = 4(3) + 2
t = 12 + 2
Value of t = 14 when value of s = 3
PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM
Use the function f(x) = 2 sin x-1 to identify the following.
A. amplitude =
B. period =
C. midline=
Answer:
See below for answers
Step-by-step explanation:
Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?
Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].
Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].
Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)
Answer:
Hi! The answer to your question is D. (-2, 6)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*:☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆ .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Please help me out with this problem
Answer:
A 4/3
Step-by-step explanation:
to long to explain but its right
35^(7/4) in radical form
hiii please help i’ll give brainliest:)
Answer:
Row ships
Step-by-step explanation:
They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.
(lg 5)²+(lg 2)(lg 50)
need solution....
What is the equation for the nth term of geometric sequence 32,48,72
Answer:
[tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]
Therefore the formula:
[tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]
Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x?
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.
Comparing this with x√3, we find x = 10.
Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
HOPE THIS HELPS
if so please give me a brainlist
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
