Answer:
$732
Step-by-step explanation:
Given
[tex]y \to profit[/tex]
[tex]x \to widgets[/tex]
[tex]y = -x^2 + 64x - 292[/tex]
Required
The maximum profit
First, we calculate the maximum amount of widgets that can be sold using:
[tex]x = -\frac{b}{2a}[/tex]
Where:
[tex]a = -1; b = 64; x = -292[/tex]
So, we have:
[tex]x = -\frac{64}{2 * -1}[/tex]
[tex]x = -\frac{64}{-2}[/tex]
[tex]x = -(-32)[/tex]
[tex]x = 32[/tex]
The maximum profit is:
[tex]y = -x^2 + 64x - 292[/tex]
[tex]y = -(32)^2 + 64 * 32 - 292[/tex]
Using a calculator, we have:
[tex]y = 732[/tex]
Write in the equation for the slope intercept form and please no links or I will report you
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
increased in price by 1/4. After the increase it was priced at £85 what was the original price of the tshirt?
Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.
M(–5, –6) is rotated 90° clockwise.
Step 1. Use the rule (x, y)g(y, –x).
Step 2. Switch x and y coordinates:
(–6, –5)
Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)
Step 4. Simplify:
(6, –5)
Mira made an error in Step
Answer:
3
Step-by-step explanation:
Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.
It should give (-6, (-1)-5).
Step-by-step explanation:
Marlon's Cat will be having four kittens. Marlon Performs a simulation by tossing a coin to model whether these kittens will be male or female. Let heads (H)= female kittens and Let tails (T) = male kitten
Answer:
20
Step-by-step explanation:
Answer:
2/10 = 20%
Step-by-step explanation:
What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6
Answer:
from 10 to 15
Step-by-step explanation:
because when your finding the spread you take the highest and lowest number.
PLEASE HELP
Select the correct answer from each drop-down menu.
8 cm
4 cm
9 cm
3 cm
3 cm
6 cm
The given composite shape has an area of
cm² and a perimeter of
cm.
Answers:
Area = 78 cm^2
Perimeter = 42 cm
============================================================
Explanation:
Refer to the diagram below.
I've added points and labels, along with the dashed lines to break up the figure into three rectangles. The points in blue are the corner points of the original figure. The red points help set up the dashed lines.
Along the very top, we have BC = 8 cm, which breaks down into BK = 6 and KC = 2. Opposite of side KC is GJ = 2. For any rectangle, the opposite sides are always the same length.
Side AB = 9 cm. The three vertical sides of CD, EF, and GH all must add to get 9 cm in total, since the right side is the same height as the left side. We are given that EF = 3 and GH = 3, which must mean CD = 3 as well.
Through similar logic, the sides BC = 8 and DE = 4 add to 8+4 = 12 cm total. This total distance across the top must match the total distance along the bottom; i.e. the bottom horizontal sides of AH and GF must add to 12 as well. We are given AH = 6, so GF = 6 also.
Recall earlier we found GJ = 2. If GF = 6, then that leads to JF = 4.
In other words, GJ+JF = 2+4 = 6 = GF.
All of this is visually shown in the diagram shown below.
Once you have the diagram set up as shown, it's fairly straight forward from here. Compute the area of each of the three smaller rectangles and then add up those smaller areas to get the overall area.
I'll work from left to right to find the areas:
Rectangle ABKH has area of 9*6 = 54 cm^2Rectangle GKCJ has area 6*2 = 12 cm^2Rectangle JDEF has area 3*4 = 12 cm^2The total area of the composite figure is therefore: 54+12+12 = 78 cm^2
---------------------------
The perimeter is the sum of all the external sides. We'll ignore the dashed lines as they are not exterior segments.
perimeter = sum of exterior sides
perimeter = AB+BC+CD+DE+EF+FG+GH+HA
perimeter = 9+8+3+4+3+6+3+6
perimeter = 42 cm
Notes:
To keep things organized, I'm working clockwise when going from AB to BC to CD etcThere are a total of 8 exterior sides being added up to get the perimeter.n squared plus 3 sequence
Answer:
n² + 3
this is the expression
Step-by-step explanation:
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Those are they only numbers that aren't equal to or less than the third side.
Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
-9x^2 + 19x - 9x + 6 - 17x^2 + 25 + 10x^2 + 3x
Answer:
The answer: is 118
I hope this help you enjoy :D
Step-by-step explanation:
Someone help me please
Answer:
7/8 or the bottom right
Step-by-step explanation:
Help . Describe the graph of a function g by observing the graph of the base function f.
Answer:
its d
Step-by-step explanation:
I've taken this quiz before
What is 10% of 7,518?
Answer:
751.8
Step-by-step explanation:
HELP ASAP I WILL GIVE BRAINIEST AND 100 POINTS PLEASEE
Answer:
What are the options tho?
Step-by-step explanation:
Answer:
1/10?
Step-by-step explanation:
total:250
red:25
25/250 simplified=1/10
Dilbert recently hired a mechanic to do some necessary work. On the final bill, Dilbert was charged a total of $712.
$430 was listed for parts and the rest for labor. If the hourly rate for labor was $47, how many hours of labor was
needed to complete the job?
Step-by-step explanation:
Dont understand, sorry!!
Practice:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-133°
a. 1.16 units
b. 2.32 units clockwise
c. 0.74 units clockwise
d. 0.74 units
Please select the best answer from the choices provided
Answer:
B. 2.32 units clockwise
Step-by-step explanation:
I calculated it logically
PLS GIVE ME AN EXPLANATION.. BUT NO LINKS...If the diameter of a cylinder is 14 feet and its height is 4 feet, the volume of the cylinder is 2,461.76 square feet. True False
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.
A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.
Answer:
w=6
l=14
Step-by-step explanation:
Area of rectangle = l*w
So:
[tex]w*(w+8)=84[/tex]
Then, just find w, and w+8.
[tex]w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14[/tex]
Length cannot be negative, so the width is 6.
Length = width + 8 = 6+8=14
an are whose measure is exactly 180°
Answer:
Mmeasure is exactly 180°
semi-circle because the measure of a whole circle is 360°.
Arc :
The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped partway around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.
A motorcycle can go 40 miles using one gallon of gas. About how many gallons of gas will be used to go 325 kilometers?
Answer:
5.025 gallons
Step-by-step explanation:
Step 1: Convert 325 kilometers to miles
[tex]325 = 201[/tex]
Step 2: Set up a fraction
[tex]\frac{40}{1}=\frac{201}{x}[/tex]
Step 3: Cross multiply
[tex]40 \times x = 40\\\\201 \times 1 = 201[/tex]
Step 4: Divide the values left
[tex]201 \div 40\\\\= \frac{201}{40}\\\\= 5.025[/tex]
Therefore, about 5.025 gallons of gas will be used to go 325 kilometers.
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
Find the volume of this triangular prism:
Answers:
350in3
175in3
22in3
200in3
Evaluate each series.
50 points and brainless!
Answer:
Sum of n terms of a GP:
Sₙ = a₁(rⁿ - 1)/(r - 1)#1
a₁ = 5r = 2n = 9S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555Correct choice is C
-----------------------------
#2
a₁ = 12r = 1/2n = 5S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25Correct choice is A
the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answer:
4/3
Step-by-step explanation:
write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7
x=
Answer:
hope this helps
Step-by-step explanation:
equation for a parabola is:
What is parabola?The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
Given: focus= (3,-5), directrix at x =-7.
To find equation of parabola we will use distance formula,
√(x+7)²=√(x+3)² + (y+5)²
(x+7)²=(x+3)² + (y+5)²
x²+14x+49= x²+9+6x + (y+5)²
8x + 40 = (y+5)²
x= (y+5)²/8 -5
Hence, the equation of parabola is x= (y+5)²/8 -5
Learn more about equation of parabola here:
https://brainly.com/question/4025891
#SPJ2
Can anyone help me out
Answer:
14.49 people per square mile
Step-by-step explanation:
Divide to find the answer:
836,109/57,714 = 14.49
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
please help. 10 points
Answer:
8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3
Step-by-step explanation:
Sry If it doesn't make sense!
If you are confused let me know and I will explain in the comments.
1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer
Answer:
8x + 28
Step-by-step explanation:
What is 720° converted to radians?
One-fourth
StartFraction Pi Over 4 EndFraction
StartFraction 4 Over pi EndFraction
4 pi
Answer:
4π
Step-by-step explanation:
Answer:
720 degrees is 4pi
Step-by-step explanation:
mathematically;
1 pi is 180 degrees
x pi is 720 degrees
x * 180 = 1 * 720
x = 720/180
= 4 pi
Is this statement true or false?
The unpaid balance is the sum of the previous balance and the new charges.
Answer: true
Step-by-step explanation: