Answer:
m=-9/4
Step-by-step explanation:
Use the slope-intercept form y = mx+b to find the slope m
PLEASE HELP ME QUICK!!
A company produces circular drink coasters. The equation x2 + y2 = 18.0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece?
4.25 in^2
8.5 in^2
18.0625 in^2
72.25 in^2
Answer:
D
Step-by-step explanation:
72.25 in^2
The minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
What is the equation of a circle?The equation of the circle is the equation that is used to represent the circle in the algebraic equation form with the value of the center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle, and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
[tex]x^2+y^2=18.06[/tex]
The units are in inches. This equation can be written as,
[tex]x^2+y^2=(280/16)[/tex]
[tex]x^2+y^2=(17/4)^2[/tex]
Compare it with the equation of the circle, we get,
h=0
k=0
r=17/4 inch
The radius of the circular coaster is 17/4. Its diameter of it is,
[tex]d=2\times \frac{17}{4}\\ \\d=\frac{17}{2}[/tex]
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
a=d=17/2 inch
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
A=a^2
A=(17/2)^2
A=75.25inch^2
Thus, the minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
Learn more about the equation of circle here;
brainly.com/question/1506955
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please help me with the attachment below,will give brainliest
Answer:
(b) 8n-2n+14n
Hope this helps
Answer:
B) 8n - 2n - 14n
Step-by-step explanation:
What we know:
0 is our starting point.
We're going forward by 8n first, so that's the minuend. Indicate that with +8n.
We're going back twice. First by 2n, then by 14n, so those two are the subtrahends. Indicate these two as -2n and -14n respectively.
That completes the expression of 8n - 2n - 14n.
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
Which of the following shows the best way to add - 45 and 105. Explain in a sentence explaining why you chose your answer.
A) 45- 105
B) -(45 + 105)
C) 105-45
D) 105+45
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Two numbers have a sum of 117 and a difference of 43. Find the numbers.
a: 83, 40
b: 80, 37
c: 160, -43
d: 70, 47
Answer:
this kid grayson is deleting my answer and i dont know how when they arent even his questions and he is being a little brat
Step-by-step explanation:
so watch out for him
what is the mode for 9,4,4,4,3,2
Answer:
Mode 4
Step-by-step explanation:
Mean x¯¯¯ 4.3333333333333
Median x˜ 4
Mode 4
Range 7
Minimum 2
Maximum 9
Count n 6
Sum 26
Quartiles Quartiles:
Q1 --> 3
Q2 --> 4
Q3 --> 4
Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number
The Alden Middle School girls' soccer team won 75% of its games this season. If the
team won 9 games, how many games did it play? Solve this problem using a table,
diagram or picture model.
Answer:
12
Step-by-step explanation:
75% = 3/4 = 9games
1/4 = 3games
4/4 = 12 games
10. A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a mint expressed as a fraction? *
Answer:
1/5
Step-by-step explanation:
7/35 and that simplifies to 1/5
PLZ HELP WILL GIVE BRAINLIEST
Answer:
it is B trust me I know what im doing
Answer:
-16x - 10
Step-by-step explanation:
-8x - 2(5+4x)
Multiply -2 by the numbers within the parenthesis:
-8x - 10 - 4x
Combine like terms:
-16x - 10
requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Applicance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Applicance should reject the batch.
Complete Question
The National Appliance Company makes refrigerators. One of its suppliers, the Exeter company, produces plastic shelves for the refrigerators and ships them in large lots. The National Appliance Company requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Appliance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Appliance should reject the batch.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the National Appliance Company should reject that batch of shelfs
Step-by-step explanation:
From the question we are told that
The population of defective plastics is [tex]p = 0.10[/tex]
The sample size is n = 573
The number of shelf that are defective is k = 70
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = 0.1222[/tex]
The null hypothesis is [tex]H_o : p \le 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1 - p)}{ n } } }[/tex]
=> [tex]z = \frac{ 0.1222 - 0.10 }{ \sqrt{\frac{0.10 (1 - 0.10 )}{ 573 } } }[/tex]
=> [tex]z = 1.77[/tex]
From the z table the area under the normal curve to the right corresponding to 1.77 is
[tex]p-value = P(Z > 1.77 ) = 0.038364[/tex]
From the question we are told that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the company should reject theat batch of shelfs
Which is more, 8 yards or 287 inches?
Answer:287 inches are greater than 8 yards
this is because 36 inches=1 yard and 8 x 36 equals 288 inches ,and 288 inches is less than 287 inches.
8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?
Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.
Step-by-step explanation:
Mars is 1.5 AU. How many miles apart is Mars from the Sun?
Answer:
It would be 142 million miles
Step-by-step explanation:
Answer:
Mars is about 142 million miles away from the sun.
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
Gabi has 8 boxes of compact discs on each 6 shelves each box contains 10 cds. How many cds does gabi have
Answer:
480
Step-by-step explanation:
8 boxes
x
6 shelves -- 48x10
480
Please help thank you
Answer: 3
Step-by-step explanation:
simply divide 1200 by 400. :)
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?
Answer:
the answer is b
Step-by-step explanation:
because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
Will someone with brain bigs help thou with thy math problem?
How many solutions does the system have?
Pig Race
Time (seconds)
O zero
O one
O two
O infinite
Answer:
Step-by-step explanation:
I think it's 2
ng Composite Functions
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x)).
Answer:
f(h(x)) = 2x - 4
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x - 7
h(x) = 2x + 3
f(h(x)) is x = h(x)
Step 2: Find f(h(x))
Substitute: f(h(x)) = (2x + 3) - 7Combine like terms: f(h(x)) = 2x - 4
The coordinate pairs could represent the the vertices of a triangles congruent to KLM?
PLEASE HELP THIS IS TIMED
Answer:
D
Step-by-step explanation:
Answer:
Your answer is D :)
Step-by-step explanation:
I hope this helped
Solve 5 (y + 10) = 7y
Answer:
25
Step-by-step explanation:
Hi there! In order to solve this equation, all you have to do is distribute the 5 to the (y+10) and then shift like terms. Once you do that, you would get 5y+50=7y, and then you subtract the 5y from the 7y in order to get the 50 by itself. That would get you 2y, and from there, you just simply divide the value of 50 by 2y- getting you to 25 as the value of y. I hope this helped! <3 (Please mark as branliest if I got this right!)
Answer:
y = 25
Step-by-step explanation:
Distribute 5 (y+ 10) to get
5y + 50 = 7y
subtract the 5y from both sides to get
50 = 2y
divide the 2 from 2y on both sides to get
25 = y, or y = 25
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
(a) 3,235 ft? is about how many m??
Answer:
If you mean m as in miles, then approx 0.61 miles.
Step-by-step explanation:
There are 5280 feet in a mile, so divide 3235 by 5280.
Answer: About 986 meters.
Step-by-step explanation: You can multiply by the unit conversion
.3085 m/1 /ft × 3235ft = 986.028
Or divide 3235/3.281 Same thing. Round to "about 986 meters."
