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?
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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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
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
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 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
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:
What is the value of x in the solution to this system of equations?
4x+y=18
x=15−2y
A. 2
B. 3
C. 4
D. 6
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
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.
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
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%
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.
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
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 - 4Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles
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:
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error? 1 point 82.6% 21% 20% 17.4% Last week, you finished Hurry
Answer:67
Step-by-step explanation: 82.6% is over 49
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.
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.
Please help thank you
Answer: 3
Step-by-step explanation:
simply divide 1200 by 400. :)
Compare -4 ____ -12 9 ___ -35
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
Will someone with brain bigs help thou with thy math problem?
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
Please help me solve this question will give you braisnlt !
Answer:
t = 54m + 160
Step-by-step explanation:
Input = m
Output = t
Equation of the function in slope-intercept form, is represented as t = km + b
Where,
k = slope/rate of change
b = y-intercept
Using two pairs, say, (2, 268) and (3, 322):
[tex] slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 [/tex]
k = 54
Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.
Thus:
268 = (54)(2) + b
268 = 108 + b
268 - 108 = b (subtraction property of equality)
160 = b
b = 160
To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.
Thus:
t = 54m + 160
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
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.
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
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
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.
