Answer:
Dimension of the enclosure is 56.56 ft * 14.14 ft
Step-by-step explanation:
Given -
Let us suppose that x is the length of steel fence and y is the length of one side of pine boards
We know that - xy = 800.
y = 800/x
Let us say that C is the cost of fence
= 3x + 6(2y) = 3x + 12y = 3x + 12(800/x)
C = 3x + 9600x-1, x > 0
C' = 3 - 9600x-2 = (3x2-9600)/x2
C' = 0 when 3x2 = 9600
x2 = 3200
x = √3200 ft ≈ 56.56 ft
So, the cost is minimized when x ≈ 56.56 ft and y = 800/x ≈ 14.14 ft
You want to estimate the number of students in your school who support extra funding for the music club. You survey every second student who enters the school.
Determine whether the sample is biased or unbiased.
Answer: It’s UNBIASED!
Step-by-step explanation:
PLZ HELP!!!!!
Calculate x
Answer:
x = 31
Step-by-step explanation:
The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].
Vertex N matches up with vertex Y.
Vertex P matches up with vertex Z.
Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.
Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.
[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.
To find x , notice that it is side NO which corresponds to side YO from the large triangle.
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3
Callie uses leather cord to make necklaces. She has a piece of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make?
A. 32
B. 24
C. 4
D. 5
The Central High School students voted to select a school mascot. The results
of the vote are recorded in the table. What is the probability that a randomly
selected senior voted for an eagle mascot?
Class Falcon Eagle Total
Freshman 155 90 245
Sophomore 160 65 225
Junior 100 130 230
Senior 165 55 220
Total
580 340 920
Answer:
1/4 or 0.25
Step-by-step explanation:
The probability that a randomly selected senior voted for an eagle mascot is 11/68.
Given that, the Central High School students voted to select a school mascot. The results of the vote are recorded in the table.
We need to find what is the probability that a randomly selected senior voted for an eagle mascot.
What is the formula to find the probability of an event?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Now, probability = 55/340 =11/68
Therefore, the probability that a randomly selected senior voted for an eagle mascot is 11/68.
To learn more about the probability visit:
https://brainly.com/question/9793303.
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What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
what are the first three terms of the sequence defined by the following function?
f(n)=41+(n-1)^5
Answer:
41, 40 and 9Step-by-step explanation:
[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]
The price of a snowsuit is reduced by $28.38.
This is a discount of 33%.
a) What is the regular price of the snowsuit?
b) What is the sale price of the snowsuit, including taxes?
Answer:
(a) s = the original price = $28.38 / 0.67 = $42.36
Step-by-step explanation:
Let s represent the original price of the snowsuit.
If $28.38 is a discount of 33% from the original price, then (1.00 - 0.33)s = $28.38, or 0.67s = $28.38.
(a) s = the original price = $28.38 / 0.67 = $42.36
(b) if taxes are 7% then the sale price is (1.07)($42.36) = $45.32.
Of course, if the tax rate is other than 7%, the total sale price will be different.
9.42 * 6.7 Show explanation
Answer: 63.114
Step-by-step explanation:
Multiply like normal but don’t bring your decimal down count how many number are behind the decimal. You have 2 on the first number and 1 on the second so count 3 places
Answer:
63.114
Step-by-step explanation:
See the picture I attached, I hope this helps!
How old am I if 500 reduced by 2 times
my age is 322?
Answer:
You are 89 years old.
Step-by-step explanation:
First I subtracted 322 from 500 which got me 178. Then I finally did 178 divided by 2 which got me 89.
Hope this helps you! :)
Find the lateral area of the cone to the nearest whole
number.
Answer:
lateral area = pi x radius x slant height
slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50
3.14 x 30 x 50 = 4710m^3
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
A field has a length of 260 meters and a width of 500 meters. Part of the field, 50 meters by 200 meters, is paved for a parking lot. How much of the area remains unpaved?
Answer: 120,000 meters²
Step-by-step explanation:
First find the area of all the land both paved and unpaved:
= Length * Width
= 260 * 500
= 130,000 meters²
The find the area paved:
= 50 * 200
= 10,000 meters²
The area left unpaved:
= Total area - Paved area
= 130,000 - 10,000
= 120,000 meters²
what is equivalent to √1,620 / √180
Answer:
the answer is this! understand
Jonathan just got $12 for his weekly allowance. He puts half of his allowance in his savings
account. What could he do with the rest of the money? Select all that apply.
donate $1 to charity and keep $5 for spending money
spend $10 on a baseball cap and donate $2 to charity
spend $9 renting a canoe and $3 for a water bottle
spend $3 on candy, $5 on an ice cream sundae, and $4 on a baseball
Answer:
keep 5 dollars spending and 1 dollar charity
Step-by-step explanation:
the rest don't add up to 6 dollars and that is all the money he has.
image is right there please help
Answer:
Step-by-step explanation:
Can you at least put the questio here
Can you help me with this math question pls? I need help super fast.
Answer: I thinks it’s B
Step-by-step explanation:
The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true statements about the function ()=(2−6)(−4).
Answer:
Here we want to complete the blank to make the equality true:
( ) = (2 - 6)*(-4)
The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:
x = (2 - 6)*(-4)
We just need to find the value of x.
Then let's solve the right side:
x = (2 - 6)*(-4) = (-4)*(-4)
Remember the rule of signs:
(-)*(-) = (+)
x = (-4)*(-4) = 4*4 = 16
Then we need to complete the blank with the number 16
(16) = (2 - 6)*(-4)
erms is selling tickets to a musical performance.
Answer:
the price of an adult ticket is $3 and a child ticket is $2
Step-by-step explanation:
I will mark brainiest whoever answers this correctly
some patients participated in a clinical trial for a new drug to treat osteoporosis. A patient is selected at random. The probability that the patient had no change in his bone mass density is 7/13, the probability that he had a slight reduction in his bone mass density is 1/k and the probability that he had a significant reduction in his bone mass density is 1/2k. Find the value of k
Answer:
k = 3.9
Step-by-step explanation:
Since the three possible outcomes are given. Therefore, the sum of all the probabilities of the three possible outcomes will be equal to one:
[tex]\frac{7}{13} +\frac{1}{k}+ \frac{1}{2k} = 1 \\\\\frac{1}{k} \frac{1}{2k} =1-\frac{7}{13}\\\\\frac{3}{2k} \frac{5}{13}\\\\2k = \frac{(13)(3)}{5}\\\\k = \frac{39}{(5)(2)}\\[/tex]
k = 3.9
Peter has an average daily balance on his credit card of $127.50. His credit card charges 14.99% annual interest. What will his monthly finance charge be
Answer:
$1.59
Step-by-step explanation:
monthly finance charge = average daily balance x monthly interest
monthly interest = 14,99% / 12 = 1.249%
1.249% x $127.50 = $1.59
7, 3, -1, -5, … What is the 7th value in the sequence?
Answer:
- 17Step-by-step explanation:
7
3 = 7 - 4
-1 = 3 - 4
-5 = -1 - 4
so the 5th: -5 - 4 = -9
the 6th: -9 - 4 = -13
and the 7th: -13 - 4 = -17
A cube has edge lengths of 11 ft. What is the volume of the cube?
Answer:
1331 ft³
Step-by-step explanation:
The volume of a cube = (edge length)³
From the above question,
Edge length = 11 ft
The volume of the cube = (11 ft)³
= (11 ft × 11 ft × 11 ft)
= 1331 ft³
The volume of the cube = 1331 ft³
Describe the trend/correlation
shown in the scatter plot below
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
Which number is the additive inverse of 47? Hi. SI56 -47 1 W om 04
Answer:
4 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The additive inverse is the value that must be added to the number to give zero.
- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0
↑ additive inverse
Please answer 7 and 8, ill give brainliest
put these fractions from least to greatest please!! 2/3 7/12 17/24 3/4
Answer:
7/12 < 2/3 < 17/24 < 3/4
Step-by-step explanation:
least to greatest
Factorise fully 15x² + 10x
Answer:
5x (3x + 2)
Step-by-step explanation:
15x² + 10x
5x (3x + 2)
Who is correct?
PLease answer ASAP!! pls (:
Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red
Step-by-step explanation:
The grocery store has 19.2 pounds of rice. If the rice is divided equally into 8 bags, how many pounds of rice will be in each bag?
Answer:
2.4 pounds
Step-by-step explanation:
19.2 pounds÷ 8 bags= 2.4 pounds per bag
drag step's into order to correctly to solve the equation x-27=
Answer:
x = 89x - 27 (+27) = 62 (+27)Step-by-step explanation:
you have to isolate x, the variable. to do so, you have to invert the number to 'cancel' it out