Answers
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°
Related Questions
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
Answers
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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Describe how to determine the 75% of 250
Answers
Answer:
75% of 250 is 187.5
Step-by-step explanation:
To determine the 75% of 250 use this formula
= n % of n
= n/100×n
= answer
Solution:-
75% of 250
→75% × 250
→75/100 ×250
→375/2
→187.5
The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:
Answers
Answer:
(a) To find the mean of the data set, sum up all the values and divide by the total number of values.
44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398
Mean = 398 / 8 = 49.75
Rounded to one decimal place, the mean of this data set is 49.8.
(b) To find the median of the data set, i need to arrange the values in ascending order first:
39, 44, 44, 44, 54, 54, 54, 65
The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:
(44 + 54) / 2 = 98 / 2 = 49
Rounded to one decimal place, the median of this data set is 49.0.
(c) To determine the modes of the data set, identify the values that appear most frequently.
In this case, the mode refers to the value(s) that occur(s) with the highest frequency.
From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.
what is: a + 1/10=5/10 ? pls dont delete this its school work.
Answers
Answer:
a = 2/5
Step-by-step explanation:
a + 1/10 = 5/10
Subtract 1/10 from both sides of the equation.
a + 1/10 = 5/10
-1/10 -1/10
a = 4/10
This answer is not incorrect but we usually need to simplify it if possible.
4/10 can be reduced to 2/5.
a = 2/5
Answer:
a=2/5
Step-by-step explanation:
To solve this, we first need to isolate the a so we can solve from there
First, we subtract 1/10. But whatever we do to one side we have to do to the other side. So when we subtract 1/10 from the left side we cancel it out and we subtract 1/10 from the right side so 5/10-1/10
So our equation becomes…
a=5/10-1/10
We can simplify this to…
a=4/10
4/10 is equal to 2/5
So that is our final answer
Now since we have nothing else to do that is our final answer
PLEASE AWARD BRAINLIEST I REALLY NEED TO LEVEL UP!
Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.
1. Which of the following outcomes corresponds to a Type I error?A. You allow the passenger to board his flight when the passenger has a weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You allow the passenger to board his flight when the passenger has no weapon.D. You select the passenger for further inspection when the passenger has a weapon.2. Which of the following outcomes corresponds to a Type II error?A. You allow the passenger to board his flight when the passenger has no weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You select the passenger for further inspection when the passenger has a weapon.D. You allow the passenger to board his flight when the passenger has a weapon.As a security screener, the worst error you can make is to allow the passenger to board his flight when the passenger has a weapon. The probability that you make this error, in our hypothesis testing analogy, is described by _____.
Answers
Answer:
1. A. You allow the passenger to board his flight when the passenger has a weapon.
2. B. You select the passenger for further inspection when the passenger has no weapon.
Explanation:
1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.
2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.
Your salary is 2500 and you will be receiving a 2.5% pay increase this year. What will your new salary be?
Answers
Answer:
2562.50
Step-by-step explanation:
2.5=0.025
0.025*2500=62.50
2500+62.50=2562.50
Graph that line with slope -1 passing through the point (-2,4)
Answers
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
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A competitive cliff diver jumps into
water 81 feet below. The distance d that the diver falls
in t seconds is given by the equation d = 16t^2. How
long does it take the diver to hit the water?
Answers
Answer:
2.25 seconds
Step-by-step explanation
\(d=16t^{2}\)
\(d=81 feet\\t=?\)
Because you know what distance equals you can plug it into the equation
\(81=16t^{2}\)
From there you can solve by dividing the 16 over and then square rooting.
\(\frac{81}{16}=t^{2}\)
\(5.0625=t^{2}\)
You take the square-root to get rid of \(t^{2}\)
\(\sqrt{5.0625} =\sqrt{t}^{2}\)
\(t=2.25\)
- 9 (1/2x - 3) somone. Help me plz
Answers
Multiply -9 for the values in the parentheses
-4.5x + 27
Simplify the expression.
Exact Form:
27/2
Decimal Form:
13.5
13.5
Mixed Number Form:
13 1/2
Use symmetry to find the other solution if (3,5) is a solution of the given system
Answers
Given:
(3,5) is one solution which is given.
\(\begin{gathered} x^2+by^2=1 \\ \\ y=ax^2 \end{gathered}\)Required:
To get another solution.
Explanation:
We have given one solution which is equal to (3,5)
\(undefined\)f(x) = 2x - 3 for f(0).
Answers
f(0)=2•0-3
f(x)=-3
Find the measure of x
Answers
Answer:
X=27
Step-by-step explanation:
< BAC = x
< ABC = 90° KL PERPENDICULAR TO FG
<ACB= 63
X+90+63=180
X=27
Answer:
x = 27 degree Due to complimentary = 90 as 180-90 = 90 degree and emits our right angle 90 degree then GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree
Step-by-step explanation:
GCJ = 63 IAK = x Where; DE = FG to parallel lines KAE =90 degrees and is congruent to ABG Therefore x = 180-90- 63 = 27 degree as supplementary angles up to 180 degree or 90-63= 27 and angles GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree
Twice a number divided by 5 gives 4
simple equations
Answers
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
Mark as brainliest if you like it
Answer:
2x / 5 = 4
x = 10
Step-by-step explanation:
Twice a number divided by 5 gives 4
2x / 5 = 4
2x / 5 = 4
Multiply both sides by 5
2x = 20
Divide both sides by 2
x = 10
The product of 2 and a number x is 4. What is the value of 2×4×1=
Answers
Answer:
2x4x1 is 8, but if you're wanting x's value, it's 2.
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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if f(x) = 2x² – 2. what is f(-6)?
If
-78
30
18
0 78
PLS HELP
Answers
Answer:
70
Step-by-step explanation:
Substitute x with -6:
2(-6)²-2
2(36)-2
72-2
70
This is because -6*2 is -36
A central angle measuring 150 degrees is in a circle of radius 2 meyers. Find the length of the arc of the circle subtended by the angle
a. 2 meters
b. 5pi/3 meters
c.300 meters
d. 2pi meters
c.2pi/2 meters
Answers
The length of the arc of the circle subtended by the angle is option (b) 5π/3 meters.
Arc length is the length of a portion of the circumference of a circle. It is the distance along the curved line that makes up the circle's boundary, measured in linear units
The length of the arc of a circle subtended by a central angle can be found using the formula
arc length = (central angle / 360°) × 2πr
where r is the radius of the circle.
Substituting the given values, we get
arc length = (150° / 360°) × 2π(2 meters)
arc length = (5/12) × 2π(2 meters)
arc length = (5/3)π meters
Therefore, the correct option is (b) (5/3)π meters
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permitter question!! giving points!!
Answers
Answer:
2L + 2W = 88
L = W + 12
L = 28 feet & W = 16 feet
Step-by-step explanation:
2L + 2W = 88
[] The perimeter of a rectangle is length + length + width + width, shortned as 2(legnth) + 2(width) and since the perimeter of the garden is 88, this option works.
L = W + 12
[] The length is 12 feet longer than the width, so the width + 12 will equal the length
Solving:
{ 2L + 2W = 88
{ L = W + 12
[Plug-in] 2(W + 12) + 2W = 88
[Distribute] 2W + 24 + 2W = 88
[Combine like terms] 4W + 24 = 88
[Subtract 24 from both sides] 4W = 64
[Divide both sides by 4] W = 16
L = W + 12 -> L = (16) + 12 -> L = 28
Have a nice day! - Side note, is your screen okay? lol
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Write 265000 in standard form
Answers
Answer:
Step-by-step explanation:
The answer is 2.65 x 10^5.
Hope it helped you.
Plz mark me brainliest.
How many places do you need to move the decimal to the left to write the
number below in scientific notation?
60,000,000,000
O A. 11
B. 12
C. 9
D. 10
Answers
Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
Answers
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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Express sin L as a fraction in simplest terms
Answers
The SinL as a fraction in the simplest form is 12/13.
We are given
The side NM = 5,
The side LM = 12,
By using Pythagoras' theorem, we can say that;
NL² = NM² + LM²
Substitute the values of NM and LM;
NL² = 12² + 5²
NL = 13,
For Sin L = perpendicular side/hypotenuse side
Sin L = NM / NL,
Sin L = 12/13
Therefore, the SinL as a fraction in the simplest form is 12/13
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HELP PLEASE I really need the answer
Answers
Answer:
1. 1.85
2. 18.5
3. 185
4. 1850
5. Kristen needs '1850' years of yarn
Step-by-step explanation:
d) Shiva bought a second-hand motorcycle for Rs 1,53,200. He spent Rs 1,200 to repair it and sold it to Bishnu at 8% loss. How much did Bishnu pay for it?
Answers
Bishnu selling price paid Rs 1,42,048 for the motorcycle.
To find out how much Bishnu paid for the motorcycle, we need to calculate the selling price after the 8% loss.
Let's start with the purchase price: Shiva bought the second-hand motorcycle for Rs 1,53,200.
Then, Shiva spent Rs 1,200 to repair it. So, the total cost for Shiva becomes:
Total cost = Purchase price + Repair cost
= Rs 1,53,200 + Rs 1,200
= Rs 1,54,400
Now, to calculate the selling price after an 8% loss, we need to subtract 8% of the total cost from the total cost:
Loss = 8% of Total cost
= 8/100 * Rs 1,54,400
= Rs 12,352
Selling price = Total cost - Loss
= Rs 1,54,400 - Rs 12,352
= Rs 1,42,048
Therefore, Bishnu selling price paid Rs 1,42,048 for the motorcycle.
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Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answers
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
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A rectangular prism has a surface area is 484 square centimeters and the edge lengths are consecutive integers. Determine the longest segment that can be drawn to connect two vertices.
Answers
The longest segment that can be drawn to connect two vertices is 10 cm
Determining the longest segment that can be drawn to connect two vertices.From the question, we have the following parameters that can be used in our computation:
A rectangular prism has a surface area is 484 square centimeters The edge lengths are consecutive integers.Represent the smallest length with x
So, we have
SA = 2 * (x(x + 1) + x(x + 2) + (x + 1)(x + 2))
Substitute the known values in the above equation, so, we have the following representation
2 * (x(x + 1) + x(x + 2) + (x + 1)(x + 2)) = 484
So, we have
(x(x + 1) + x(x + 2) + (x + 1)(x + 2)) = 242
When solved using a graph, we have
x = 8
So, we have
Longest edge = 8 + 2
Longest edge = 10
Hence, the longest segment that can be drawn to connect two vertices is 10 cm
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Stacy wants to sell art prints at an art show for $12 each. The materials for each print cost $2.50, and the table rental at the show costs $38 for the day. How many prints must she sell for her revenue to equal her expenses?
Answers
Answer:4
Step-by-step explanation: The initial Fee is 38$ Or $38 dollars per day. If subtract the $2.5 dollar fee per painting then you get $9.5 dollar of revenue pre painting 9.5x4=38!
Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.
A) y = 4
B) x = 0
C) x = 4
D) y = 0
Answers
Find the area of the rectangle with measurements shown; reduce to lowest terms: Length: 1 1/6 feet; Width: 5 1/2 feet
Answers
Answer:
\(6 \frac{5}{12} \: {ft}^{2} \)
Step-by-step explanation:
\(area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} \)
The quotient of a number and 19 is 5. Find the number.
Answers
Answer:
95
Step-by-step explanation:
Take the missing number as x.
Then the required value of x will be,
→ x ÷ 19 = 5
→ x = 5 × 19
→ [ x = 95 ]
Hence, the number is 95.
Answer:
x ÷ 9
= 5
x = 5 × 19
x = 95
Hance,the number is 95
