The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
10+2b=50
2b=50-10
2b=40
b=20
Substitute b=20 in l=10+b
l=10+20
l=30
Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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Supposed the profit from the sale of a product in a week is
P(x)=16x-100-0.1x²
There is a limit in the production of the product at 100 units for the week.
What level of production will yield a profit of $180
Step-by-step explanation:
180 =16x-100-0.1x2
-0.1x2+16x-280=0
x2-160x+2800=0
S=160
P=2800
DELTA=160*160-4*2800
DELTA=25600-10800
DELTA=14400
x1,2=160+/-
[tex] \sqrt{14400[/tex]
divided by 2
x1,2=160+/-120 div by 2
x1=140
x2=20
What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
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Convert the following quantities as shown.
(a) 24,000 volts to kilovolts
(b) 551 millivolts to volts
So, 24,000 v = how many kv
enter your response as kV - (Type a whole number or a decimal.)
a. 24 Kilovolts
b. 0. 551 Volts
How to convert the quantitiesIt is important to note that;
1000 volts = 1 Kilovolt
1000 millivolts = 1 volt
a. To convert 24,000 volts to kilovolts
If 1000 volts = 1 kilovolt
Then 24000 volts = x
cross multiply
x = 24000/ 1000
x = 24 Kilovolts
b. To convert 551 millivolts to volts
If 1000 millivolts = 1 volt
Then 551 millivolts = x
x = 551/ 1000
x = 0. 551 Volt
Thus, the values are 24 kilovolts and 0. 551 volt respectively
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Whats the slope for y=3x+5
1. 3
2. 5
Answer: The slope is 3
Step-by-step explanation:
y=3x+5
Slope intercept form formula is y=mx+b
m stands for slope
b stands for y-intercept
Therefore the slope is m which is 3
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3?
A.
It is the graph of f(x) translated 3 units to the left.
B.
It is the graph of f(x) translated 3 units down.
C.
It is the graph of f(x) where the slope is decreased by 3.
D.
It is the graph of f(x) translated 3 units up.
Answer:
It is B
Step-by-step explanation:
It is the graph of f (x) reflected about the x-axis and shrunk vertically by a factor of 10.
Answer:
B.
It is the graph of f(x) translated 3 units down.
Step-by-step explanation:
what is the difference between (-8, -6) and (4, 10)
Answer:
20
Step-by-step explanation:
Factor by grouping
2xy + 4x + 3y + 6
Answer:
15xy
Step-by-step explanation:
what is the slope-intercept of? 3x-2y = -16
Answer:x intercept: (-16/3 ,0) y intercept: (0,8). bascially: (-16/3,8)
Step-by-step explanation:
Company XYZ has created a neutral (useless) product to help college students make it to class on time. The company runs 40
studies with a confidence level of 95% Even if the product is useless, it would on average produce one study showing the
predict was beneficial, one study showing it was harmfut and thirty eight inconclusive studies (38 is 95% of 40) XYZ then
uses the one beneficial study to promote their new product.
Identity the misuse of statistical data by Company XYZ.
Loaded questions
Data manipulation
Overgeneralization
D
Discarding untavorable data
Ki
Answer: Discarding unfavorable data
Step-by-step explanation:
When companies discard data that will not support the narrative that they are trying to push, this is rightfully called, Discarding Unfavorable Data. There is a higher likelihood of this happening when the company does not publish all of the data the research showed.
Tobacco companies are an example of companies that do this. In cases where they hope to show that the relationship between cancer and tobacco smoking is minimal, they would show the very few examples that supports this.
Question 1a: Given the function below. find f(-2)
f (x) = x2 + 4x - 5
E
Your answer
Simplify this expression 3(2x-6)+x.
Answer:
7x-18
Step-by-step explanation:
3(2x-6)+x
multiply 3*2 to get 6x
then 3 *-6 = -18
then you have an extra x which you simply add to the 6x to get 7x
ASAP WILL GIVE BRAINLIEST
Answer:
jo
Step-by-step explanation:
I believe a proportion will form a parabola because it a proportion. It is x and y value which are different. The numbers that come together will form a direct and good parobla
Please I need help with this
Answer:
I believe it would be 8
Step-by-step explanation:
Step-by-step explanation:
it should be 8 but the calculation is not coming yet.....
What number does b stand for in this equation?
3b = 12
Answer:
4
Step-by-step explanation:
3x4=12
Use the point-slope form to write the equation of a line that passes through the point (-20,-16) with slope -1−1.
(It must be a y=mx+b answer please)
Noah bought 15 baseball cards for $9.00. Assuming that each baseball card costs the same amount, answer the following questions.How much will 30 baseball cards cost?
Answer:
270 dollars
Step-by-step explanation:
1. You borrow P200,000 and promise to pay back P212,000 at the end of 1year. Compute the interest rate.
2. JPIA invested P10 million to buy a tract of land and plant some young pine trees. The trees can be harvested in 5 years at which time JPIA plans to sell the forest at an expected price of P15 million. What is JPIA’s expected rate of return?
3. While I was a student at USC, I borrowed P200,000 in student loans at an annual interest rate of 5%. If I repay P50,000 per year, then how long will it take me to repay the loan?
4. A mortgage company offers to lend you $85,000; the loan calls for the payments of $8,273.59 at the end of each year for 30 years. What interest rate is the mortgage company charging you?
Round off your answer up to four decimal places.
The interest on the P200,000 is borrowed is 6.0000% rounded to 4 decimal places.
What is the future value of amount borrowed now?
The future value of borrowed is the initial loan plus the interest over the 1 year period that would be repaid to the lender when the matures in 1 year
FV=PV*(1+r)^N
FV=loan repayment=212,000
PV=initial loan=200,000
r=rate of interest=unknown
N=duration of loan=1
212000=200,000*(1+r)^1
212000=200,000*(1+r)
212000/200,000=1+r
1.06=1+r
r=1.06-1
r=6.0000%
15=10*(1+r)^5
15/10=(1+r)^5
1.5=(1+r)^5
1.5=(1.5)^1
(1.5)^1=(1+r)^5
divide indexes on both sides by 5
(1.5)^(1/5)=1+r
r=(1.5)^(1/5)-1
r=8.4472%
Using a financial calculator, we can determine the number of years it takes to repay the loan
I/Y=annual interest rate=5(without the % sign)
PMT=50000(annual payment)
PV=loan amount=-200000
FV=future value which is not applicable in this instance
CPT(press compute)
N= 4.5735 years
N=number of years of repayment=30
PMT=8273.59(annual payment)
PV=loan amount=-85000
FV=future value which is not applicable in this instance
CPT(press compute)
I/Y=9.0000%
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(Need answer quickly.) The table represents a linear function. What is the slope of the function?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Which statement is true about the graph of a quadratic function on the left?
A.the axis of symmetry is x=-3
B.the range is y > 0
C.the y-intercept is at 2
D.the vertex (-1,-3)
The true statement for the given graph is the vertex is (-1, -3).
What is a parabola?A parabola is a curve where any point is at an equal distance from: a fixed point called the focus, and the fixed straight line called the directrix.
Given is a graph of a parabola, we need to determine the correct statements for the graph,
The graph is having the axis of symmetry at x = -1, so the first option is wrong.
The range y is y < 0, so the second option is also wrong,
There is no y-intercept.
Lastly, the vertex is at (-1, -3) therefore this option is correct.
Hence, the true statement for the given graph is the vertex is (-1, -3).
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PLEASE HELP!!!!!!!!!!!!!
Which of the following relationships represents a function?
A.
x -1 6 2 6
y 15 13 15 14
B.
x -1 6 -1 10
y 15 15 21 14
C.
x -1 6 1 10
y 15 13 21 15
D.
x -1 6 1 1
y 15 13 15 14
Answer:
the answer is c
Step-by-step explanation:
because it doesn't repeat the same number for example if it was two -1s it wouldn't be a function but positive and negative are different so yeah
Which of the following is a non-prime factor of 70?
The perimeter of a square is 24 inches. What is its area?
Maci is paid biweekly and earns $1500 each paycheck. What is his yearly salary?
a hexagon is graphed on the coordinate plane below which side is 4 units long?
A. GH
B. FG
C. LK
D. KJ
Answer:
FG
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
Blake was competing in a cooking competition and needed to add 34 cup of flour to a recipe. The only measuring cup he could find was 18 of a cup. Black would need to fill the measuring cup times
Answer:
twice
Step-by-step explanation:
Find the measure of θ. (to the nearest tenth) A) 28.8° B) 33.4° C) 61.2° D) 63.4°
Answer:A:28.8
Step-by-step explanation:
Answer: 28.8
Step-by-step explanation:
3 angles added to a 180ﾟ one angle has mingle has the measure of 7X plus 8 angle 2 has a measure of 2X plus 9 and angle 3 has a meter of 10X plus 5 given that some of the angles is a 180ﾟ what is the measure of angle 1
Answer:
66 or 65.82
Step-by-step explanation:
check on the phrasing of the question but i assume would be this 7x+8+2x+9+10x+5=180
19x=157
x=8.26
8.26x7 +8=65.82
Please I need the answer
Answer:
Angle A is 62 degrees
Step-by-step explanation:
2x + 4 + x - 1 = 90 is the equation. Simplified it is 3x + 3 = 90. Solving the equation would make x = 29. Then, plug in x for each equation. Angle A is 62 degrees and Angle B is 28.
The area of a rectangular field is 8320 square yards . the width is 65 yards . how long is the field? dont forget to include units in your answer!!
The measure of length of the rectangular field is 128 yards.
Given that, the area of a rectangular field is 8320 square yards. The width is 65 yards.
We need to find measure the length of the rectangular field.
What is the area of a rectangle?The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.
Now, 8320 = 65 × b
⇒b=128 yards
Therefore, the measure of length of the rectangular field is 128 yards.
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