Answer:
Length of area is 857.14 ft
Width of area is 857.14 ft
Length of dividing fence is 857.14 ft
Step-by-step explanation:
Here we have
Area of rectangle = Length × Width
The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;
Length of rectangle = Width of rectangle = x
Hence, the perimeter of the area = 4·x, while the width of the dividing fence = x
Therefore, since the we have;
Cost of the perimeter fence = $15/foot
Cost of the dividing fence = $10/foot
Then;
4·x × 15 + x × 10 = 60000
60·x + 10·x = 60000
x = 60000/70 = 857.14 ft
Which gives the following dimensions;
Length of area = 857.14 ft
Width of area = 857.14 ft
Length of dividing fence = 857.14 ft.
Find the volume of the triangular prism 3cm 4 cm 5cm 11cm
To find the volume of a triangular prism, multiply the base area by the height. The formula for the volume of a prism is V = base area x height. In this case, the base is a triangle, so calculate the area using the formula for the area of a triangle. Substitute the values and multiply the base area by the height to find the volume.
Explanation:To find the volume of a triangular prism, we need to multiply the base area by the height. The formula for the volume of a prism is:
V = base area x height
In this case, the base of the prism is a triangle, so we calculate the area using the formula for the area of a triangle:
area = (base x height) / 2
Substituting the given measurements, we have:
base = 3 cm, height = 4 cm, height of prism = 11 cm
First, find the area of the triangle: area = (3 cm x 4 cm) / 2 = 6 cm².
Then, multiply the base area by the height of the prism: volume = 6 cm² x 11 cm = 66 cm³.
A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.
What is the y-intercept
We have been given that a line [tex]y=mx+b[/tex] passes through the point (10, 3) and is parallel to the line [tex]2x+5y=12[/tex]. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:
[tex]2x-2x+5y=12-2x[/tex]
[tex]5y=-2x+12[/tex]
[tex]\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}[/tex]
[tex]y=-\frac{2}{5}x+\frac{12}{5}[/tex]
We know that slope of parallel lines is equal, so slope of parallel line to our given line would be [tex]-\frac{2}{5}[/tex].
Now we will use slope-intercept form of equation to find y-intercept.
[tex]y=mx+b[/tex], where,
m = Slope,
b = The y-intercept.
Let us substitute [tex]m=-\frac{2}{5}[/tex] and coordinates of point [tex](10,3)[/tex] in above equation as:
[tex]3=-\frac{2}{5}(10)+b[/tex]
[tex]3=-2(2)+b[/tex]
[tex]3=-4+b[/tex]
[tex]3+4=-4+4+b[/tex]
[tex]7=b[/tex]
Therefore, the y-intercept is 7 and our required equation would be [tex]y=-\frac{2}{5}x+7[/tex].
A 50 lb bag of flour costs $27. How much does 8 lbs of flour cost? Use a proportion to solve.
Answer:
$4.32
Step-by-step explanation:
We want to write a proportion to solve
50 lbs 8 lbs
----------- = --------- -----
27 dollars x dollars
Using cross products
50x = 8*27
50x=216
Divide each side by 50
50x/50 = 216/50
x=4.32
Answer:
$4.32
Step-by-step explanation:
Make a proportion using this setup:
pounds/cost=pounds/cost
A 50 pound bag costs $27, and a 8 pound bag costs $x
50 lb/$27=8 lb/$x
50/27=8/x
Cross multiply
50*x=27*8
50x=216
We want to find what a 8 pound bag, will cost (x). To do this, we need to get x by itself.
Since x and 50 are being multiplied, divide both sides by 50
50x/50=216/50
x=216/50
x=4.32
A 8 pound bag of flour will cost $4.32
An animal shelter houses cats, rabbits, and ferrets. There are 108 animals at the shelter. Of the animals, one third are cats. Three fourths of the remaining animals are rabbits. How many of the animals are ferrets?
Answer:
18 ferrets
Step-by-step explanation:
From the statement you can write the following:
c+r+f= 108
c=cats
r= rabbits
f= ferrets
Then, you have that one third of the animals are cats:
c= 108*(1/3)= 36
Next, three fourths of the remaining animals are rabbits:
r= (108-36)*(3/4)= 72*(3/4)= 54
Now, as you have determine the amount of cats and rabbits, you can isolate f and find the amount of ferrets:
f=108-c-r
f=108-36-54
f= 18
According to this, the answer is that there are 18 ferrets.
Answer:
3
Step-by-step explanation:
Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple interest formula, I = P r t, how much interest will Sharla’s initial investment earn over the 16 year period?
Answer:
Step-by-step explanation:
P = $ 275
r = 8% = 8/100
t = 16 years
[tex]I=275*\frac{8}{100}*16\\\\I=\frac{35200}{100}\\I=352[/tex]
I =$352
Answer:
352
Explaning:
Lamonting
A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly.
Answer:
Effective annual yield = 0.05094534 or 5.094%
Step-by-step explanation:
Given:
Rate of interest (r) = 5% = 0.05
Interest = compounded quarterly
Find:
Effective annual yield = Y
Computation:
[tex]Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\[/tex]
Effective annual yield = 0.05094534 or 5.094%
The effective annual yield of a 5% interest rate compounded quarterly is calculated to be approximately 5.1%.
To find the effective annual yield of a passbook savings account with a rate of 5% compounded quarterly, follow these steps:
Identify the nominal interest rate and the compounding periods per year:
Nominal rate (r ): 5% or 0.05,
Compounding periods (n ): 4 (quarterly).
Use the formula for effective annual yield (A):
A = (1 + r/n)ⁿ - 1
Plug the numbers into the formula:
A = (1 + 0.05/4)⁴ - 1
Calculate inside the parentheses first:
1 + 0.05/4 = 1.0125
Raise the result to the power of 4:
(1.0125)⁴ ≈ 1.05095
Subtract 1 to get the effective annual yield:
1.05095 - 1 ≈ 0.05095 or 5.095%
Therefore, the effective annual yield is approximately 5.1%, rounded to the nearest tenth of %.
Complete question:
A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly. The effective annual yield is %. (Round to the nearest tenth as needed.)
Alex is on vacation and has the clothes listed above with her she's trying to pick out an outfit what is the probability she chooses a redshirt in
Answer:
The answer is 0.33.
trust me =)
write 7x^2-4+6x^3-4x-x^4 in standard form
Answer:
8+24x^8
Step-by-step explanation:
Final answer:
The polynomial in standard form is –x⁴ + 6x³ + 7x² – 4x – 4, with terms ordered from the highest degree to the lowest degree.
Explanation:
To write the polynomial 7x²-4+6x³-4x-x⁴ in standard form, we need to arrange the terms in descending order of their exponents. The standard form for a polynomial is to start with the highest degree term and go down to the constant term.
So, the polynomial in standard form will be:
-x⁴ + 6x³ + 7x² - 4x - 4.
This polynomial is now in the proper order and ready to be used for further algebraic operations such as factoring or solving for specific values of x.
HELP WILL MARK BRAINLIEST!!
A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without replacement? Calculate to the nearest tenth.
Final answer:
The probability of pulling a red marble, then pulling a blue marble without replacement is approximately 0.114.
Explanation:
To calculate the probability of pulling a red marble, then pulling a blue marble without replacement, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The number of red marbles is 5, and the number of blue marbles is 4. When the first marble is pulled, there are a total of 12 marbles. So, the probability of pulling a red marble on the first draw is 5/12.
After pulling out a red marble, the number of blue marbles becomes 3. So, the probability of pulling a blue marble on the second draw is 3/11.
To calculate the overall probability, we multiply the probabilities of each event:
P(Red and then Blue) = P(Red) × P(Blue | Red) = 5/12 × 3/11 ≈ 0.114
Final answer:
The probability of drawing a yellow marble and then a green marble without replacement is 0.1.
Explanation:
The probability of drawing a yellow marble and then a green marble without replacement is calculated as follows:
Calculate the probability of drawing a yellow marble first: 2/9 (2 yellow marbles out of a total of 9 marbles).
Now, after drawing a yellow marble, there are 8 marbles left. Calculate the probability of drawing a green marble next: 4/8 (4 green marbles out of the remaining 8).
Multiply the two probabilities: (2/9) * (4/8) = 1/9 = 0.1111 (rounded to the nearest tenth).
When the outliers are removed, how does the mean change? (2 points) dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 on 82, 1 on 83
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
Answer:
The mean increases by 3 would be the correct answer
Step-by-step explanation:
Circle O has radius 3. Points M and N lie on circle O, and mZMON is 58
degrees. What is the length of arc MN in radians?
Find attached to the question, a hand drawn diagram of the circle.
Complete Question
Circle O has radius 3. Points M and N lie on circle O, and mMON is 58
degrees. What is the length of arc MN in radians?
Answer:
The length of arc MN in radians is 3.03687 radians.
Step-by-step explanation:
The formula for arc length =
s = rѲ
Where = = Arc length
r = radius
Ѳ = central angle in degree
In the question we were given the following values
r = radius = 3 units
Ѳ = central angle in degree = 58°
We were told to calculate arc length in radians
Therefore, we would convert 58° to radians using the formula
Degree × π/180
= 58 × π /180
= 1.012 radians.
Therefore, Arc length in radians =
S = rѲ
S = 3 × 1.0122909662 radians
= 3.0368728985 radians.
Approximately = 3.03687 radians.
Therefore, the length of arc MN in radians is 3.03687 radians.
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
language they are studying. Charles first gets class lists of all students taking foreign language classes. He then chooses 10
students from each different language class to survey. Which best explains why the sample he chose may not be a
representative sample?
The sample size is not large enough to renresent the nonulation
Answer:
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
Step-by-step explanation:
Answer options:
The sample size is not large enough to represent the population.
No. Sample size is quite small per language.The sample was not chosen at random.
No. There is no evidence if samples are not random.The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
Yes. Some of the classes my have large, some may have small population. Therefore taking 10 samples from each language is not right proportion and proper representation.The way the sample was chosen does not sample students from each different language class.
No. Each language class is considered.Answer:
C
Step-by-step explanation:
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
PLEASE HELP!!! HURRY PLEASE!!!
consider the. system of equations:
y=-2x+4
y=-1/3x-1
the solution is (3, -2)
verify the solution. which true statement appesrs in your check?
a.4=4
b.-2=-2
c.-1=-1
d.-3=-3
Answer:-2=-2 (b)
Step-by-step explanation:
I just took that lesson
Answer:
-2=-2
Step-by-step explanation:
Marking Brainliest! Please :))
Answer:
23/137
Step-by-step explanation:
im guessing i hope u get it right.
You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions? Use the Fundamental Counting Principle with three or more groups of items.
Answer:
You should be able to answer the question in 35 different ways.
Step-by-step explanation:
5 * 7 = 35
That's how I see it.
Final answer:
Using the Fundamental Counting Principle, there are [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.
Explanation:
To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.
In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.
I have a picture attached I am offering 35 points I need these questions done ASAP
Answer:its not showing me the picture
Step-by-step explanation:
Answer:
1.32
4. 35
5. 400
7. 225
8. 260
10. 77
11. 72
Step-by-step explanation:
If the volume of the pyramid shown is 108 inches cubed, what is the area of its base? A pyramid with a height of 8 inches. 4 inches squared 12 inches squared 24 inches squared 36 inches squared
Answer:
36in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a square based pyramid.
Step one
The formula for the volume of a square based pyramid is
V=a²h/3
Where a = side of base
h= height
Given data
Volume = 108in³
Height h= 8 in
We can solve for the base a by substituting our data
108= a²* 8/3
a²= (108*3)/8
a²= 40.5
a= √40.5
a= 6.36in
To the nearest whole number
a= 6in
The area of the square based = 6*6
= 36in²
Answer:
D. 36
Step-by-step explanation: stay calm and smile
can anyone help? I’m confused:(
Answer:
The answer is -1.
Step-by-step explanation:
( 1 + 3 ) - 6 / 2
(4) - 6 / 2
-2 / 2
-1
what’s a equilateral triangle
Answer:
An equilateral triangle is a triangle with equal sides. Example: a triangle with each side 4 cm.
Answer:
Step-by-step explanation:
An equilateral triangle is a triangle with equal sides. Example: a triangle with each side 2 cm.
2. Use the distance formula to find the lengths of the sides of
the second triangle, Astu.
V-2 - (-8»? + (-7 - (-3)? = V6? + (-4)2
= 36 + 16 = 52 = 4(13)
4(13) = 2V13
The length of ST is 5. What is the length of TU?
53
85
45
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
just did it on Edge
Find the volume. *
6) radius = 16 in; height = 27 in
Volume =
The volume of the cylinder is approximately 21727.938in^3.
The volume (V) of a cylinder is calculated using the formula:
V=πr^2 h
where:
π (pi) is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder,
h is the height of the cylinder.
Given that the radius (r) is 16 inches and the height (h) is 27 inches, you can substitute these values into the formula:
V=π×(16in)^2 ×27in
Now, let's calculate the volume. Remember to use the value π as approximately 3.14159:
V≈3.14159×256×27
V≈3.14159×6912
V≈21727.938in^3
So, the volume of the cylinder is approximately 21727.938in^3.
Find the radius!
Surface Area = 1017.36 yd?
EEN
1
radius =
Known :
Sa = 1017.36 yd²
Asked :
r = ...?
Answer :
Sa = 4πr²
1017.36 = 4 × 3.14 × r²
1017.36 = 12.56 r²
r² = 1017.36 ÷ 12.56
r² = 81
r = √81
r = 9 yd
So, the radius is 9 yd (D)
Hope it helpful and useful :)
Answer:
9 yd
Step-by-step explanation:
SA = 4 pi r²
1017.36 = 4 × 22/7 × r²
r² = 1017.36 × 7/88
r = 9 yd
The solutions of a quadratic function are its y-intercepts. Ture or false
Answer:
True
Step-by-step explanation:
Answer:
i think the answer is true
Step-by-step explanation:
Standard for
ola (y + 3)2 = -12(x - 2), iden
1.
D
n111
Answer:
See below
Step-by-step explanation:
Your question is a bit unclear, so I'm going to assume you want the value of y or x:
(y+3)^2=-12(x-2)
-(y+3)^2/12=x-2
-(y+3)^2/12+2=x
(y+3)^2=-12(x-2)
y+3=sqrt(-12x+24)
y=sqrt(-12x+24)-3
The net of a rectangular prism is shown below. The surface area of each face is labeled. Which values represent the dimensions in centimeters of the rectangular prism?
Answer:
The dimensions are 3, 4 and 6 centimeters.Step-by-step explanation:
Notice that the surface of 24 square centimeters is formed by 6 times 4, which gives 24 square centimeters.
The 12 square centimeres surface is formed by 3 times 4, which gives 12.
The 18 square centimeters surface is formed by 3 times 6, which gives 18.
Therefore, the three dimensiosn to form the prism are 3 cm x 4 cm x 6 cm.
Where 6 cm is the height, 3 cm and 4 cm are the width and length.
NEED RNN!!!!!
Ten people at two local restaurants were randomly
surveyed and asked to rate their experience, with "1"
representing very poor and "10" representing very
good. The data is shown in the dot plots.
Find the mean for each set of data.
Blue Terrace:
Paradiso Grill:
Answer: 6.1 and 6.3
Step-by-step explanation: just did it
What is the slope of the line?
Answer:
slope = 1
Step-by-step explanation:
(3,0) ; (0, -3)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1[/tex]
You have caught a bad cold and have to take time off of work to get well. Each week you normally work 8 hours a day for 5 days at $15.00 per hour. If you take a day to get well by not going to work and your pay period is every two weeks, how much less will your next paycheck be given that you miss a day?
Find the diameter! *
Surface Area = 28.26 ft
diameter =
O ZA
O 3ft
O 4H
5ft
Known :
Sa = 28.26 ft
Asked :
d = ...?
Answer :
Sa = 4πr²
28.26 = 4 × 3.14 × r²
28.26 = 12.56 r²
r² = 28.26 ÷ 12.56
r² = 2.25
r = √2.25
r = 1.5 ft
diameter = 2 × radius = 2 × 1.5 = 3 ft
So, the diameter is 3 ft (2nd choice)
Hope it helpful and useful :)
Step-by-step explanation:
SA = 4 [tex]\pi[/tex]
28.26 = 4 × 22/7 × r²
r³ = 28.26 × 7/88
r² = 2.25 ft²
r = 1.5 ft
Diameter = 2 × r = 3 ft
How many times greater is 1,000,000 than 1,000?that is how many groups of 1 thousand are there in 1 million
1,000,000 is 1,000 times greater then 1,000
Step-by-step explanation:
If you multiply 1,000x1,000 you'll get an answer of 1,000,000
Therefore, 1,000,000 is going to be 1,000 times greater