Answer:
Perimeter = 588ft (given), Width of yard = 73ft
Step-by-step explanation:
The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:
2w + 2(3w+2) = 588
Now we can start solving for the width!
Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:
2w + 2*3w + 2*2 = 588
which equals:
2w +6w +4 = 588
Now we combine terms and move the 4 to the other side so we can solve for w:
8w + 4 -4 = 588 - 4
8w = 584
Now we just divide both sides by 8 to get:
w=73
The width of the yard is 73ft.
Hope this helped!
find the minimum of c=x+3y
Answer:
14
Step-by-step explanation:
The objective function C=x+3y is the same as one of the constraining boundaries, x+3y≥14. Hence the minimum value of C is constrained to be 14.
A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) below.a. What is the exact value that is 33% of 2302?b. Could the result from part a be the actual number of adults who said that they play football? why or why not?c. What could be the actual number of adults who said that they play football?d. Among the 2302 respondents, 272 said that they only play hockey. what percentage of respondents said that they only play hockey?
Answer:
(a) The exact value that is 33% of 2302 is 759.66.
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.
(c) The actual number of adults who said that they play basketball is 760.
(d) 11.82% of respondents said that they only play hockey.
Step-by-step explanation:
We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.
(a) The exact value that is 33% of 2302 is given by;
[tex]33\% \text{ of } 2302[/tex] = [tex]\frac{33}{100}\times 2302[/tex]
= 759.66
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.
(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}
(d) It is given that among the 2302 respondents, 272 said that they only play hockey.
Percentage of respondents who said that they only play hockey is given by;
= [tex]\frac{272}{2302}\times 100[/tex] = 11.82% ≈ 12%
a) The exact value of [tex]33[/tex]% of [tex]2302[/tex] is,
[tex]=\frac{33}{100}\times 2302[/tex]
[tex]=759.66[/tex]
b) [tex]759.66[/tex] is not the actual number of adults who said that they play football as the actual number should be a whole number and not a rational number with decimal values.
c) The actual number could be a rounded one i.e. [tex]760[/tex].
d) Let [tex]272[/tex] be [tex]x[/tex]% of [tex]2302[/tex].
[tex]\Rightarrow \frac{x}{100}\times 2302=272\\\Rightarrow x=\frac{272\times 100}{2302} \\\Rightarrow x=11.8158 \ or \ 11.82[/tex]%
Therefore, [tex]11.82[/tex]% of respondents said that they only play hockey.
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How do you define mathematics?
Answer:
The overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division.
A square-shaped park has an area of 324 yd2. What are the dimensions of the park?
Answer:
18 yards
Step-by-step explanation:
[tex]\sqrt{324}[/tex] = 18
Answer:
the dimensions are 81
Step-by-step explanation:
what are the steps to finding a midpoint with decimals?
an ice machine makes 1 1/2 pounds of ice every 1/2 hour. witch graph shows this proportional relationship?
Answer:
4th one
Step-by-step explanation:
The graph that represents the situation is required.
The correct option is option 2.
Here the [tex]x[/tex] axis denotes the number of hours and
[tex]y[/tex] axis denotes the pounds of ice.
The given ordered pair is
[tex](\dfrac{1}{2},1\dfrac{1}{2})=(0.5,1.5)[/tex]
At zero hours the ice produced will be zero so, the third and fourth options are incorrect.
The only graph where the line passes through [tex](0.5,1.5)[/tex] is option 2.
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For the function f(x) = 16x^3 - x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 1. Complete the table. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) An accurate conjecture for the slope of the tangent line at x = 1 is (Round to the nearest integer as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
Interval Slope of secant lines
[1,2] 113.000
[1, 1.5] 75.000
[1, 1.1 ] 51.960
[1, 1.01] 47.482
[1, 1.001] 47.048
Step-by-step explanation:
From the question we are told that
The function is [tex]f(x) = 16x^3 -x[/tex]
Now considering the intervals
For [1, 2]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(2) - f(1)}{2-1} = \frac{16(2)^3 - 2 - [16(1)^3 -1] }{2-1 } = 113.000[/tex]
For [1, 1.5]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.5) - f(1)}{1.5-1} = \frac{16(1.5)^3 - 1.5 - [16(1)^3 -1] }{1.5-1 } = 75.000[/tex]
For [1, 1.1]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.1) - f(1)}{1.1-1} = \frac{16(1.1)^3 - 1.1 - [16(1)^3 -1] }{1.1-1 } = 51.960[/tex]
For [1, 1.01]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.01) - f(1)}{1.01-1} = \frac{16(1.01)^3 - 1.01 - [16(1)^3 -1] }{1.01-1 } =47.482[/tex]
For [1, 1.001]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.001) - f(1)}{1.001-1} = \frac{16(1.01)^3 - 1.001 - [16(1)^3 -1] }{1.001-1 } =47.048[/tex]
y=x-12 y=13 solve for x
Answer:
Step-by-step explanation:
x - 12 = 13
x = 25
y = 12
Answer:
x=25
Step-by-step explanation:
y=x-12....eq1
y=13.... eq2
Substituting eq2 in 1:-
13=x-12
x=12+13=25
How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possible permutations of length 1.)
Answer:
89
Step-by-step explanation:
Given that
2 O, 2 T and 1 M
Now based on this, the following ways are there
1
Three ways i.e. {M,T,O}
2
XX or XY
XX in 2C1 = two ways i.e. {OO or TT}
XY in 3C2 × 2! = six ways
3
XXY or XYZ
XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways
XYZ in 3C3 × 3! = six ways
4
XXYY or XXYZ
XXYY = 4! ÷ (2! × 2!) = six ways
XXYZ in 2C1 × 4! ÷ 2! = twenty four ways
5
= 5! ÷ (2! ×2!)
= 120 ÷ 4
= 30
Therefore, the total is
= 3 + (2 +6)+ (12 +6) + (6 +24) + 30
= 89
There are 30 different letter permutations.
The word is given as:
MOTTO
From the given word, we have the following parameters:
[tex]n = 5[/tex] --- the number of characters in the word[tex]T = 2[/tex] --- the number of times letter T appears[tex]O = 2[/tex] --- the number of times letter O appearsThe number of different (d) letter permutation is then calculated as:
[tex]d = \frac{n!}{T!O!}[/tex]
This gives
[tex]d = \frac{5!}{2!2!}[/tex]
Evaluate each factorial
[tex]d = \frac{120}{2 \times 2}[/tex]
Evaluate the product of 2 and 2
[tex]d = \frac{120}{4}[/tex]
Divide 120 by 4
[tex]d = 30[/tex]
Hence, there are 30 different letter permutations.
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Please someone help! It’s not very complicated
Show how u got the answer!
Answer:
1891
Step-by-step explanation:
night 1: 4000 seats- 2950 seats= 1050 empty.
night 2: 4000 seats- 3159 seats= 841 empty.
1050+841= 1891 empty seats for the two nights.
Hope this helps! ;)
Answer:
total seats for two night= 4000*2=8000
seat occupied= 3159+2950= 6109
Total empty seat= 8000-6109=1891
Step-by-step explanation:
evaluate the expression when y=3
y²-7y-4
Answer:
-16
Step-by-step explanation:
3^2-7(3)-4
The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?
Answer:
is that i-ready
Step-by-step explanation:
how many million miles are between the earth and sun ?
91 million miles (146 million km)
How many thousands are in 30 hundreds
Answer:
3
Step-by-step explanation:
30 hundreds = 30*100 which = 3000 and 3000/1000 = 3
Answer:
3
Step-by-step explanation:
30x100=3000 is the answer to solving your problem
Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)
Answer:
m=-4
(the slope is negetive 4)
Step-by-step explanation:
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Start with point-slope form:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values.
[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]
Substitute.
[tex]\frac{-7-(-3)}{8-7}[/tex]
The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.
[tex]\frac{-7+3}{8-7}[/tex]
Combine like terms.
[tex]\frac{-4}{1}[/tex]
Rewrite.
[tex]-4[/tex]
-5(y + 1) + 6y
Need help
Answer:
1y - 5
Step-by-step explanation:
Remember to follow PEMDAS. Simplify the expression.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, distribute -5 to all terms within the parenthesis:
-5(y) = -5y
-5(1) = -5
Next, combine like terms:
-5y + 6y - 5
(-5y + 6y) - 5
1y - 5
1y - 5 is your answer.
~
When you look into a mirror, you see your reflection. Explain how this relates to reflections in
geometry.
What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?
1:10
1:5
1:25
1:50
Answer:
c
Step-by-step explanation:
the area of a parallelogram is 96cm^2 of the figure is 6 cm. What is the height?
Pt. 1 The result of adding a complex number to its conjugate is a.- a whole number b.-an integer, c.- a real number, d.- a pure imaginary number Pt. 2 And the result of subtracting a complex number from its conjugate is a.- a whole number, b.-an integer, c.- a pure imaginary number, d.- a real number
Answer:
Step-by-step explanation:
A complex number is a number that has both real and imaginary part. An example of a complex number is z = x+iy where x is the real part and y is the imaginary part.
If z = x+iy, the conjugate of z₁ will be x-iy
adding the complex number to its conjugate will give;
P = z+z₁
P = x+iy +(x-iy)
open the parenthesis
P = x+iy+x-iy
collect like terms
P = x+x+iy-iy
P = 2x
We can see that the resulting value does not contain the imaginary number i, hence the result is a real number.
Hence the result of adding a complex number to its conjugate is a REAL NUMBER
Taking the difference;
P = = z-z₁
P = x+iy -(x-iy)
open the parenthesis
P = x+iy-x+iy
collect like terms
P = x-x+iy+iy
P = 0+2iy
P = 2iy
We can see that the resulting value contains the imaginary number i, hence the of taking their difference is a complex number.
Hence the result of subtracting a complex number from its conjugate is an IMAGINARY NUMBER
Help please, I will give a brainly to whoever has it done first
Answer:
297/40 or 7.425
Step-by-step explanation:
Hope this helped
To find the volume you got to multiply W by H and L
write the converse of the following statement
if it stops raining then I will go to the park
Which of the following is irrational?
6
25
0.16
900
Answer:
0.16
Step-by-step explanation:
What is the additive inverse of t ? *
Answer:
-t
Step-by-step explanation:
Additive inverse of t:
t*-1 = -t
g=4a - 4, for a
how do u solve that.
Answer: g -4/a
Step-by-step explanation:
The sum of two consecutive whole numbers is 171, What are the two numbers?
Answer:
85 + 86 = 171
Step-by-step explanation:
Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.
(85.5 - 0.5) + (85.5 + 0.5) = 171
у (x) = 5x - 9 find each value
find the difference. 2g/g^2-g-6 - 1/g-3
Answer:
2g - 1
g²-g-6 g-3
2g - 1
(g-3)(g+2) g-3
take lcm
2g- 1(g+2)
(g-3)(g+2)
g-2
g²-g-6
Step-by-step explanation:
Step-by-step explanation:
answer is g-2/ g^2-g-6
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a equal t added to 258
write the sentence as an equal
Answer:
A=t+258
Step-by-step explanation:
State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.
Answer: D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.
The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.
In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:
Letter D. The data are discrete because the data can only take on specific values.
Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.
An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.
The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.
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