The length of one side of the square is x+6
Area of a squareThe formula for calculating the area of a square is expressed as:
A = L^2
where
L is the side length of the square
Given the following parameters
A = x^2 + 12x + 36 square feet
A = (x+6)^2
(x+6)^2 = L^2
L = x + 6
Hence the length of one side of the square is x+6
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pedro wants to make 3 1/2 batches of granola bars. His dad tells him that he needs 5 1/4 cup of oatmeal. How much oatmeal does pedro need for a single batch
Answer:
If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.
In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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-4p + (-2) +2p + 3 combine like terms
Answer:
Step-by-step explanation:
-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p
= -1p
What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
Show that the equation x³ - 3x² + 3 = 0 can be rearranged to give x = √√3x² -3
Expand and simplify (5x - 2)^2
Answer:
The value of x = 2/5
Step-by-step explanation:
=>(5x - 2)²
=> (5x)² + 2² - 2(5x)(2)
=> 25x² -20x +4
=> 25x² -10x -10x +4
=> (5x-2) (5x-2)
=> x = 2/5 or 2/5
Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
In linear equation , 8.65% is the YTM .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Assuming face value to be $1000
Coupon = (0.09 * 1000) / 2 = 45
Number of periods = 8 * 2 = 16
Price = 102% of 1000 = 1020
YTM = 8.65%
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I NEED HELP PLS SOMEONE
1. 15/4 written as a decimal is 3.75
2. 5/6 written as a decimal is 0.83(repeating 3)
3. 11/3 written as a decimal is 3.6(repeating 6)
Division operationFrom the question, we are to write each fraction as a decimal
1. 15/4
3.75
4)15.00
-12
3.0
-28
20
-20
0
15/4 written as a decimal is 3.75
2. 5/6
0.833
6)5.00
-48
20
-18
20
-18
2
5/6 written as a decimal is 0.83(repeating 3)
3. 11/3
3.66
3)11.00
- 9
20
-18
20
-18
2
11/3 written as a decimal is 3.6(repeating 6)
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. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?
Answer:
0
Step-by-step explanation:
since a function maps only one member in the co-domain
Got it wrong hehe :)
What is the radius of a circle with a circumference of 64 feet?
10.19 feet is the radius of a circle with a circumference of 64 feet.
A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.
Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.
A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.
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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters
Answer:
12
Step-by-step explanation:
Answer: 13 cm x 9cm is the correct answer:)
What is the image of image of the point (-7,-3) after a rotation of 180 degrees counterclockwise
PLEASE
The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]
According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex] degrees counterclockwise, we are supposed to find out the image of the point after the rotation.
Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.
When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.
Therefore the coordinates will become as [tex](7,3)[/tex].
Cartesian Plane: The cartesian plane is defined as a two-dimensional coordinate plane that is made or formed by the intersection of the x-axis and y-axis or horizontal and vertical axes.To learn more about coordinates and plane, click on the link given below:
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If DM = 26 and point G lies on the perpendicular bisector of DM¯¯¯¯¯¯¯, what is the value of r? Segment D M with point G between the endpoints. Segment D G has length R plus 3, and segment G M has length 4R minus 28. A. 10 B. 13 C. 30 D. 52
The value of R in the line segment is R = 1
How to determine the value of r on the line segment?The given parameters on the line segment are:
Line segment DM = 26Point G is on the perpendicular bisector of DMSegment DG = R + 3Segment GM = 4R - 28Because the point G is on the perpendicular bisector of DM, then it means that
DM = DG + GM
This means that
26 = R + 3 + 4R - 28
Collect the like terms
So, we have
4R + R = 3 + 28 - 26
Evaluate the like terms
So, we have
5R = 5
Divide both sides by 5
So, we have
R = 1
Hence, the value of R in the line segment is R = 1
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The perimeter of a rectangular window is 324 cm .
If the width of the window is 73 cm , what is its length?
Answer:
The length is 89 cm============================
Perimeter equationP = 2(l + w), where
P- perimeter, l- length, w- widthGivenP = 324 cm,w = 73 cmFind the value of l:
324 = 2( l + 73)l + 73 = 324/2l + 73 = 162l = 162 - 73l = 89Answer:
L = 89 cm
Step-by-step explanation:
Formula we use,
→ P = 2(L + W)
Then the value of its length is,
→ P = 2(L + W)
→ 324 = 2(L + 73)
→ 324 = 2L + 146
→ 2L = 324 - 146
→ L = 178/2
→ [ L = 89 cm ]
Hence, the length is 89 cm.
Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.
What was the simple interest paid?The balance after the trading in and deposit was:
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid was:
= (900 x 2 x 12months) - 15,000
= $6,600
The rate of simple interest was:
= (6,600 / 2 years) / 15,000
= 22%
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HELP WITH MATH QUETSION PLEASE I WILL GIVE BRAINLYEST The first 5 terms arithmetic sequence are shown on the graph.
a. describe the sequence in words.
b. what is the value of the 6th term?
c. write an explicit formula to find the nth term of the sequence.
The sequence is an AP with a = 11 and d = - 4 , 6th term is - 9 and formula is a + ( n - 1 ) d .
First Term = 11
Second Term = 7
Third Te3rm = 3
Fourth Term = - 1
Fifth Term = - 5
a ) Sequence is 11 , 7 , 3 , - 1 , - 5
b ) a + ( n - 1 ) d
11 + ( 6 - 1 ) ( - 4 )
11 + 5 ( - 4 )
11 - 20 = - 9
c ) a + ( n - 1 ) d
where a is the first term , n is the tem no . and d is the common difference of an AP .
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I cannot do this help me to this
Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
What is the value of the derivative of a function?
In this problem we have the following rational equation, which is equivalent to the following sum of functions:
f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)
Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:
g(x):
g'(x) = [1 - 1] / h
g'(x) = 0 / h
g'(x) = 0
h(x):
h'(x) = [4 / (x + h) - 4 / x] / h
h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]
h'(x) = - 4 · h / [h · (x + h) · x]
h'(x) = - 4 /[(x + h) · x]
If h = 0, then:
h'(x) = - 4 / x²
Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:
f(4) = - 4 / 4²
f(4) = - 1 / 4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
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Find the area and perimeter.
The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.
18x2 + 63x; 22x + 14
63x2 + 16; 22x + 14
18x2 + 63x; 16x + 2
63x2 + 18; 11x + 7
The area and the perimeter are 18x^2 + 63x and 22x + 14
How to determine the area and the perimeter?The given parameters are
Length = 9x
Width = 2x + 7
The area is calculated as
Area = Length * Width
So, we have
Area = 9x * (2x + 7)
This gives
Area = 18x^2 + 63x
The perimeter is calculated as
P = 2 * (Length + Width)
So, we have
P = 2 * (9x + 2x + 7)
Evaluate
P = 22x + 14
Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14
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The midpoint of \overline{\text{AB}}
AB
is M(5, 6)M(5,6). If the coordinates of AA are (3, 8)(3,8), what are the coordinates of BB?
=================================================
Explanation:
Point B is at the location (x, y)
The x coordinates of A and B are 3 and x respectively. Add them up, divide in half, and set the result equal to the x coordinate of M which is 5
(3+x)/2 = 5
3+x = 2*5
3+x = 10
x = 10-3
x = 7 which is the x coordinate of point B
Repeat this same idea for the y coordinates.
(8+y)/2 = 6
8+y = 2*6
8+y = 12
y = 12-8
y = 4
Therefore, point B is located at (x,y) = (7, 4)
Visual verification is shown below. You could also use the midpoint formula on segment AB to find that M = (5,6) is the midpoint.
A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
25) Which of these numbers cannot be a probability? (There is more than one answer.)
A -0.02
B0
C 1.002
D 1
Answer:
1.002, -0.02
Step-by-step explanation:
Probabilities range between 0 and 1.
two times the quantity of seven less than twice x
i need put this in algebraic expression
4
Albert made $54.25 bagging groceries for 5 hours last week. What was Albert's hourly wage? '
Answer:
$10.85
Step-by-step explanation:
Divide 54.25 by 5 and you get 10.85.
What is p2 + 13 if p = −4?
29
17
−3
−21
The value of the expression p² + 13 will be A. 29.
How to compute the expression?It should be noted that the expression given is that p² + 13 and we are told that p = -4.
Therefore, we have to put the value of p into the expression. This will be:
p² + 13
= (-4)² + 13
= 16 + 13.
= 29
The value is 29.
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Math
The product of 84.12 and which number will have three decimal places?
The product of 84.12 and 19.3 will have three decimal places.
Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.
Let us look at each option one by one,
1. 4.22
4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
2. 10.51
Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
3. 14.163
14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.
3. 19.3
19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.
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Your question was incomplete. Check for full content below-
The product of 84.12 and which number will have three decimal places? 4.22
10.51
14.163
19.3
Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!
hi
budget is 170
we have 20 players and all of them need a package at 7.5 each.
So for 20 players total amount spend is : 20*7.5 = 150
there is 3.99 shipping cost
total spendings : 150 + 3.99 = 153.99
AS budget is 170 , so remais : 170 - 153.99 = 16.01
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line
m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7
y = 3x - 7 ← equation of line
A toy ball in the shape of a sphere expands and contracts. When it is completely closed, it has a diameter of 20.5 inches. Find the volume of the sphere when it is completely closed. Use 3.14 for π.
The volume of the sphere when it is completely closed is 4508.58 cubic inches
Volume of a sphereThe formula for calculating the volume of a sphere is expressed as:
V = 4/3πr³
where
r is the radius = 20.5/2
radius = 10.25 in
Substitute
V = 4/3 (3.14)*10.25³
V = 4/3(3.14)
V =4508.58 cubic inches
Hence the volume of the sphere when it is completely closed is 4508.58 cubic inches
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