Answers
Answer:
1. 1
2. -3
3. yes
4. no, it is not, because the function stop at point (-6, -2)
5. -2
Related Questions
A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answers
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
which elevation is higher 8 feet below sea level or 13 feet below sea level
Answers
Answer: 8 feet below sea level is higher
Step-by-step explanation:
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answers
Answer:
what is question?
Step-by-step explanation:
Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
simplest radical form using a rational denominator.
Answers
Answer:
Step-by-step explanation:
Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:
[tex]37^2=12^2+b^2[/tex] and
1369 = 144 + b² and
1225 = b² so
b = 35
The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35
The diameter of a foot ball is 12cm ?find itsvolume
Answers
Answer:
288 [tex]\pi[/tex] cm³
Step-by-step explanation:
diameter = 12 cm
radius = diameter/ 2
= 12/ 2
= 6 cm
volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³
= 4/ 3 × [tex]\pi[/tex] × 216
= ( 864 [tex]\pi[/tex])/ 3
= 288 [tex]\pi[/tex] cm³
On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F
Answers
Answer:
(A) -9 °F
Step-by-step explanation:
On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill
temperature only reached¼ of Sunday's wind chill temperature. What was the
lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F
Sunday temperature = - 36 °F
Monday temperature = ¼ of Sunday's wind chill temperature
Monday = 1/4 of - 36 °F
= 1/4 * -36 °F
= (1 * -36)/4 °F
= -36/4 °F
= -9 °F
Monday temperature = -9 °F
The correct answer is (A) -9 °F
PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answers
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answers
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.
What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Answers
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]
What is 972 written in standard form
Answers
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Answers
Suppose someone spent the following amounts over several months, $640, $710, $700 and $685. What would be their average monthly expenditure? (Show Your Work)
Answers
Answer:
help help help help jelp
Answer:
Step-by-step explanation:
First,
$640+$710+$700+$685=$2735.(total expenditure).
$2735÷4=$683.75.TOTAL AVERAGE.
Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)
Answers
2x+8x+28+6x+12
16x+40
16x+40 would be the answer you can’t solve it any further
Answer:
merhabalar !
HAVE A NİCE DAY
Find the length of the missing side.
Answers
Answer: Should be 14
Step-by-step explanation:
How how how how how how answers plz
Answers
9514 1404 393
Answer:
a) 540°
b) 720°
c) 900°
d) 1440°
Step-by-step explanation:
The total measure of internal angles of a convex polygon is given by the formula ...
sum of angles = 180°(n -2) . . . . for an n-sided polygon
So, you count the sides, subtract 2, and multiply that result by 180°.
__
a) 180°(5 -2) = 540°
b) 180°(6 -2) = 720°
c) 180°(7 -2) = 900°
d) 180°(10 -2) = 1440°
Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)
Answers
Answer:
[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]
[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]
On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.
Answers
The mean of the test that has a normal distribution is 55.
What is the mean of the test?Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:
49 = μ - 3σ equation (1)
59 = μ + 2σ equation (2)
To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:
49 + 59 = μ - 3σ + μ + 2σ
Simplifying, we get:
108 = 2μ - σ
We can also solve for σ by subtracting equation (1) from equation (2) to get:
59 - 49 = μ + 2σ - (μ - 3σ)
Simplifying, we get:
10 = 5σ
Therefore, σ = 2.
Substituting this value of σ into the equation we found earlier, we get:
108 = 2μ - σ
108 = 2μ - 2
Solving for μ, we get:
2μ = 108 + 2
2μ = 110
μ = 110/2
μ = 55
Therefore, the mean of the test is 55.
Learn more about normal distribution here: https://brainly.com/question/29509087
#SPJ1
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
Answers
Consecutive angles are supplementary (add to 180)
70+ x + 40 = 180
110 + x = 180
X = 70
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
To learn more about Parallelograms, click here :
https://brainly.com/question/11220936
#SPJ7
Why did the robber take a bath
Answers
Answer:
To make a "clean getaway"
Step-by-step explanation:
haha, nice one :D
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
y = 2x
Step-by-step explanation:
1. attendee = x
2. cost = y
3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result
4. Thus, y = 2x
FT is tangent to OP at T. If FP = 39 and FT = 36, what is PT?
39
T
36
A 20
B. 12
C. 3
D. 15
Answers
Answer:
[tex]D) 15[/tex]
Step-by-step explanation:
[tex]39^{2}=36^{2} +PT^{2}[/tex]
[tex]PT^2=39^2-36^2[/tex]
[tex]PT=\sqrt{39^2-36^2}[/tex]
[tex]PT=15[/tex]
------------------------
hope it helps...
have a great day!!
Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
Answers
Answer:
Secθ = 11 / 9.22 or sec33°
Sinθ = 6 / 11 or Sin33°
Tanθ = 6 / 9.22 or Tan33°
θ = 33°
Step-by-step explanation:
Given:
Hypotenuse = 11 unit
Perpendicular = 6 unit
Find:
Secθ
Sinθ
Tanθ
Computation:
Base = √Hypotenuse² - Perpendicular²
Base = √11² - 6²
Base = √121 - 36
Base = √85
Base = 9.22 unit (Approx.)
Secθ = Hypotenuse / Base
Secθ = 11 / 9.22 or sec33°
Sinθ = Perpendicular / Hypotenuse
Sinθ = 6 / 11 or Sin33°
Tanθ = Perpendicular / Base
Tanθ = 6 / 9.22 or Tan33°
So value of θ = 33°
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe
Answers
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
Answers
a) is biased because the first 8 people are unlikely to be representative of the population
c) is biased as offering money will influence the people who reply
d) is untrue because short studies are valid if they are representative
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answers
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32
Answers
if you add the two equations you get the first answer and if you subtract the two equations you get the second answer
Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help
Answers
Answer:
256
Step-by-step explanation:
4^4^4 = 4^(4^4) = 4^256
so written in base 4, there will be 256 zeroes after a 1.
This translates to approximately 154 digits in decimal.
Just like 2^2^2 = 2^4
there will be four zeroes after a 1.
2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).
seth put $500 in his savings account, which earns a earns a simple interest rate of 4%
A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years
Someone help me out :)
Answers
Answer: sorry i dont know this
Step-by-step explanation:
If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours
Answers
Answer:
64 times
Step-by-step explanation:
There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.
Answer and Step-by-step explanation:
We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.
1 : 15
We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.
15 × 4 = 60
We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.
1 × 4 = 4
Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1. 4 : 1
Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.
4 × 16 = 64
1 × 16 = 16
So, we have the ratio 64 : 16
This means that the person smokes 64 times in the 16 hours.
#teamtrees #PAW (Plant And Water)
I suck at math help if you know and explain plz and thank you!
Answers
Answer:
13Y
Step-by-step explanation:
7+6 = 13
Answer:
Step-by-step explanation:
7y+6y
y(7+6)
y*13
13y
Or
since they are like term u simply add them
7y+6y
13y