convert 280 degrees per minute to radians per second
Answer:
Step-by-step explanation:
0.0814 radian / second
The art club at a community college is selling burgers at lunchtime as a fundraiser. The club spends $8 for condiments and supplies. The cost of the meat and bun for each burger is $0.65. Express the total cost, C, as a function of the number of burgersmade, x.
Answer:
C(x)=0.65x+8
Step-by-step explanation:
According to the information given, you can say that the total cost would be equal to the result of multiplying the cost of the meat and bun per burger for the number of burgers made plus the amount spent on condiments and supplies, which can be expressed as:
C(x)=0.65x+8, where:
C(x) is the total cost
x is the number of burgers made
Triangle KLM is isosceles with sides ML=240mm and MK=74mm calculate the size of angle MKL
Answer:
∠MKL = 81.13°
Step-by-step explanation:
240 mm has to be the equal legs because two 74 mm legs wouldn't work with a 240 mm base leg.
Drop a line from m to be perpendicular to LK.
This divides LK into two 37 mm segments.
cos ∠MKL = 37/240
cos ∠MKL = 0.1542
∠MKL = 81.13°
.
Determine the area of the composite shape.
Answer:
132 ft²
Step-by-step explanation:
Rectangle area = 8(12) = 96
Triangle area = 1/2(8)(21-12) = 4(9) = 36
Area total = 96 + 36 = 132
what line would be parallel to 8x-2y=7 with a point of 12,1
Answer:
[tex]y = 4x - 47[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Parallel lines:
When two lines are parallel, they have the same slope.
8x-2y=7
Placing into the format, we have thtt:
[tex]2y = 8x - 7[/tex]
[tex]y = 4x - \frac{7}{2}[/tex]
Slope of 4.
This means that the desired line has the following equation:
[tex]y = 4x + b[/tex]
Point of (12,1)
This means that when [tex]x = 12, y = 1[/tex]
We use this to find b.
[tex]y = 4x + b[/tex]
[tex]1 = 48 + b[/tex]
[tex]b = -47[/tex]
So, the line has the equation:
[tex]y = 4x - 47[/tex]
What is the area of this figure?
Enter your answer in the box.
Answer:
24
Step-by-step explanation:
Area of the 1st upright rectangle: 3x4=12
Area of 2nd rectangle: rectangle: 6x1=6
area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6
1st leg=4
2nd leg=6-3=3
12+6+6
24=area
Hope this helps :)
An igloo has a circular floor with a diameter of 4 yards. What is the floor's area? Use 3.14 for π
Step-by-step explanation:
the answer is A=12.57
A=πr^2
3.14 • 2^2 = 12.57
please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! the question is “1” :)
Answer:
3:8
Step-by-step explanation:
first add up all the crayons
4+1+5+6
16
there are 6 green crayons so the ratio is
6:16
reduce by factor of 2
3:8
Use synthetic division to divide x4 – x3 + x2 – 8x + 3 by x – 2
Answer: x4+3bxy−x3+x2−8x−2
Step-by-step explanation:
x4−x3+x2−8x+3byx−2
=x4+−x3+x2+−8x+3bxy+−2
HOPE THIS HELPS
Answer:
x^4-x^3+x^2-5x-2
Step-by-step explanation:
How many 1/5s are in 4?
Answer:
20
Step-by-step explanation:
4÷1/5=20
5+5+5+5=20
find the missing side length
Answer:
c. 10
Step-by-step explanation:
Pythagoras theorem is used since it's a right angle triangle
26²-24²=a²
676-576=a²
√100=√a²
a=10
The black line is a graph of y=x. Which of these equations could represent the blue line
Answer:
third option
Step-by-step explanation:
y = 1/2 x
How many terms are in this expression ? 9k + 4m
Answer:
2 terms
Step-by-step explanation:
Use properties of operations to find the quotient.
option D is correct one 2 3/16
-1 1/4 ÷ 4/7
-5/4 ÷ 4/7
-5/4 × 7/4 (reciprocal)
35/16= 2 3/16
Solve each equation.
11. A number x divided by nine is two.
Answer:
18 is the correct answer to this
Step-by-step explanation:
18/9=2
Find the original price of an item that is on sale for $42 if it is discounted by 20%
Answer:
$52.50
Step-by-step explanation:
Item on sale: 42
Discount: 20%
1-.2=.8
Item on Sale=Original*.8
42=Original*.8
42/.8=
$52.50
Help Please! SOS! ASAP!
Answer:
45
Step-by-step explanation:
If you write it out it will look like this, 2x+45+x=180
3x+45=180
3x+45=180
-45 -45
3x=135
/3 /3
x=45
Answer:
x=45
Step-by-step explanation:
Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.
1. Add like terms. 3x+45=180
2. Subtract 45 from both sides. 3x=135
3. Divide by 3 on both sides to get x by itself. x=45
4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!
Plug in the point to determine if it is on the circle
(x – 3)² + y2 = 4
(5,0)
Answer:
yes
Step-by-step explanation:
(5_3)^2+2(0)=4
substitute with the 5 to x and 0 to y
Jennifer buys four tubs of coleslaw. She serves two-fifths of each tub onto one plate.
How many plates can she serve before she runs out of coleslaw?
Eli built a 3-D model of a building, as shown below. Eli wrote the following calculation to find the volume.
Which is a correct description of the error Eli made while calculating the amount of sand needed to fill the model?
A. He did not include the volume of the horizontal prism.
B. He did not include the volume of the vertical prism.
C. He included the volume of where the prisms overlap twice.
D. He included the volume of the entire horizontal prism twice.
Answer:
The answer is C!
Step-by-step explanation:
C).Answer:
Have a greattt day;)
Step-by-step explanation:
You are in charge of monitoring the pressure of a compressed air tank in a processing plant. After repeating the pressure measurement a large number of times, you found that the pressure values have Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi. If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value? (Provide your answer as a percentage using two decimal places. Do not include the % symbol in your answer)
Answer:
4.46% probability that the pressure will exceed this value.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.
Gaussian distribution = normal.
This means that [tex]\mu = 69, \sigma = 10[/tex]
If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?
As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{86 - 69}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a pvalue of 0.9554
1 - 0.9554 = 0.0446
0.0446*100 = 4.46%
4.46% probability that the pressure will exceed this value.
What is the next term of the arithmetic sequence?
-8, -14, -20,–26,
Answer:
-8, -14, -20, -26, -32, -38
Step-by-step explanation:
if we do this equation:
14 - 8 = 6
20 - 14 = 6
26 - 20 = 6 and you will do this until you get the answer you want.
so the arithmatic squence is -8, -14, -20, -26, -32, -38
6(s-9) simplify the expression
Answer:
6s−54
Step-by-step explanation:
Use the distributive property to multiply 6 by s−9. i hope this helps
If P = (-2,-1) and Q = (4,3) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = []
Answer:
Step-by-step explanation:
P(-2,-1) and Q(4,3)
average of x-coordinates = (-2+4)/2 = 1
average of y-coordinates = (-1+3)/2 = 1
midpoint of PQ: (1,1)
distance between midpoint and Q = √((4-1)²+(3-1)²) = √13
(x-1)² + (y-1)² = 13
The equation of the circle is [tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]
What is circle and its equation?A circle is a shape consisting of all points in a plane that are at a given distance from a given point (the Centre) Equivalently .
Equation of circle
The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle.
The equation of circle represents all the points that lie on the circumference of the circle .
The standard equation of a circle with center at [tex](h , k )[/tex] and radius r is
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
What is distance formula?The distance formula in coordinate geometry is used to calculate the distance between two given points.
The formula says the distance between two points ([tex]x_{1} ,y_{1}[/tex]), and ([tex]x_{2} , y_{2}[/tex])
[tex]Distance(D) = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
What is mid point formula?The Midpoint Formula:
The midpoint of two ends coordinates points, ([tex]x_{1} ,y_{1}[/tex]), and ([tex]x_{2} , y_{2}[/tex]) is the point M can be found by using:
[tex]M = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]
According to the question
P = (-2,-1) and Q = (4,3) are the
endpoints of the diameter of a circle
Therefore, distance between point P and Q which is diameter of circle is
[tex]Distance(D) = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
P(-2,-1) = ([tex]x_{1} ,y_{1}[/tex])
Q (4,3) = ([tex]x_{2} , y_{2}[/tex])
Now,
Diameter of circle = [tex]\sqrt{(4 - (-2) )^{2} + (3 - (-1) )^{2} }[/tex]
= [tex]\sqrt{(6 )^{2} + (4 )^{2} }[/tex]
= [tex]\sqrt{(36 + 16) }[/tex]
= [tex]\sqrt{52}[/tex]
As , radius = [tex]\frac{diameter }{2}[/tex]
radius (r) = [tex]\frac{\sqrt{52}}{2}[/tex]
As we know The center of the circle separates the diameter into two equal segments called radii and radii are equal in a circle .
i.e mid point of coordinates of diameter are coordinates of circle .
[tex]M = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]
[tex]Centre of circle (h,k) = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]
[tex]h = \frac{x_{1} + x_{2}}{2}, \ \ k = \frac{y_{1} + y_{2}}{2}[/tex]
[tex]h = \frac{ -2 + 4}{2}, \ \ k = \frac{-1 + 3}{2}[/tex]
[tex]h = 1, \ \ k = 1[/tex]
Now , substitute the value in the equation of circle
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
[tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]
Hence, the equation of the circle is [tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]
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12 less than 3 times a number, the result is 24. Find the number
Answer:
We have 3n - 12 = 24 so 3n = 36 so n = 12
Hope this helps and brainliest please
Look I begging you please help me out today last day finish this and I’m in class. (Will mark brainlest) and a Lil extra ;)
Answer:
Range: 5
mode: 19
median: 19
Step-by-step explanation:
Answer:
4) 22-17=5
5) 19
6) 19
7) 11-1=10
8) 6
A company owes a bank $3600. Beginning with month 1, the company repays the bank $300 each month.
Create an equation to represent the company's debt, d, after m months.
Answer:
3,900
Step-by-step explanation:
2. (3 marks) A marketing company conducted a box office study and they found the following. The probability that a husband watches the movie Toy Story is 0.4 while the probability that a wife watches the movie is 0.5. The probability that a husband watches the movie, given that his wife does, is 0.7. (a) What is the probability that a married couple watches the movie
Answer:
0.35 = 35% probability that a married couple watches the movie
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that a husband watches the movie, given that his wife does, is 0.7.
This means that [tex]P(B|A) = 0.7[/tex]
The probability that a wife watches the movie is 0.5.
This means that [tex]P(A) = 0.5[/tex]
What is the probability that a married couple watches the movie?
Both, so:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35[/tex]
0.35 = 35% probability that a married couple watches the movie
(y+1)2_ (x + 2)2 > 1?
Which point justifies the shaded area by satisfying (+2)2 ..
24
(12, 6)
O (-2, 6)
O (8,-6)
O (-1, -2)
N
Answer:
-2,6
Step-by-step explanation:
Ed2021
point (-2, 6) justifies the shaded area by satisfying (+2)2.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.equation of a straight line is y=mx+cy represents vertical line y-axis.x represents the horizontal line x-axis. m is the slope of the lineslope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.
solving the equation:-
[tex]\frac{(y+1)^{2} }{6}[/tex] - [tex]\frac{(x+2)^{2} }{24}[/tex] ≥ 1
⇒[tex]\frac{6(y+1)^{2} +(x+2)^{2} }{24}[/tex] ≥ 1
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Which number is an even number 16 27 35 or 49
Answer:
16
Step-by-step explanation:
16 is an even number not 27 35 49
Answer:
[tex]16 \: \: \: \: \: ofcourse[/tex]