Add.
(6p + 5) + (2p + 7)
Answer:
=8p+12
Step-by-step explanation:
(6p+5)+(2p+7)
=6p+5+2p+7
=6p+2p+5+7
=8p+5+7
=8p+12
Answer:
8p + 12
Step-by-step explanation:
=> (6p + 5) + (2p + 7)
=> 6p +5 + 2p + 7
=> 8p + 12...ans
a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be a maximum, find the dimensions of the field.
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
__
You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
Select the correct answer.
Which formula gives the area of rectangle EFHG?
A. area = d × j
B. area = (e+h) × (d+l)
C. area = (e+h) × j
D. area = (e + h) × (f+C)
Y’all help meeeee :(
TThe Education Trust publishes data on U.S. colleges and universities. Six-year graduation rates and student-related expenditures per full-time student for 2007 were reported for the seven primarily undergraduate public universities in California with enrollments between 10,000 and 20,000. Suppose that a 90% confidence interval for the prediction of student expenditures at a university with a graduation rate of 40% was (5,304, 8,686).
Required:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
b. Calculate the margin of error.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Answer:
a) The point estimate is 6995.
b) The margin of error is of 1691.
c) The standard error is of 1000
Step-by-step explanation:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
The point estimate is the mean of the two bounds of the confidence interval. So
[tex]P = \frac{5304 + 8686}{2} = 6955[/tex]
The point estimate is 6995.
b. Calculate the margin of error.
The margin of error is the difference between the bounds and the point estimate. So
M = 8686 - 6995 = 6995 - 5304 = 1691
The margin of error is of 1691.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Now I have to expand a bit into the confidence interval.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
The margin of error is:
[tex]M = zs[/tex]
In which s is the margin of error.
We have that M = 1691. So
[tex]M = zs[/tex]
[tex]s = \frac{M}{z} = \frac{1645}{1.645} = 1000[/tex]
The standard error is of 1000
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685
Write the percent as a decimal.
0.23
%
0.23
%equals
Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?
The length of segment A'B' from the triangle A'B'C' is 6 units.
Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
In the given triangle ABC, AB=3 units
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
2=Dimensions of the new shape/3
Dimensions of the new shape=6 units
Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ1
Which postulate proves the two
triangles are congruent?
Answer:
AAS
Step-by-step explanation:
because here it is given that two angle are
equal
and a side is common between both traingle
so, both traingle are congruent by
AAS
hope it helps
MULTIPLE CHOICE PLS ANSWER THANKS
Answer:
I think answer is B
B.10x+150=180
A fair Octahedral (eight-sided) die has the
following numbers on te's aces 2,3,1,2,13,11.
each time the die is thrown the score is the
humber on the top face if the die is thrown.
a Once, what is the probability that the scorce is
not 3
b twice, find the probability of scoring a sum
twice, find the probability of Scoring a sum
of 5
Answer:
30%
Step-by-step explanation:
Your chance of scoring a 5 is 30%
what is the answer of 17x12
Answer:
204
Step-by-step explanation:
17x12=204
Directions: Analyze carefully. Write T if the statement is true and write F if the statement is false.
1. Edge is the flat surface of a solid.
2. Rectangular prisms are solid figures which have 12 edges, 8 vertices and 6 rectangular
faces.
3. A cylinder is a solid figure which has 2 faces and 2 edges.
4. A cone has a flat surface.
5.
Apyramid has triangular faces.
Answer:
(1) F
(2) T
(3) F
(4) T
(5) T
Step-by-step explanation:
(1) False; The edge is not a flat surface but rather it is the point where two surfaces meet
(2) True; Rectangular prisms, also known as cuboids have the following properties.
[tex]Edges = 12\\ Vertices = 8\\ Faces = 6[/tex]
(3) False; A cylinder has 3 faces (2 flat faces and 1 curved face)
(4) True; A cone has 1 flat surface
(5) True; All pyramids have triangular faces
Which functions are nonlinear? Select TWO that apply.
A
y = -5
B
y
+1
х
0
1
2
y
-2
114
-6
-8
3
х
1
y
1
2
3
4.
Answer:
A,B
Step-by-step explanation:
I think bc I had the same question well something like this in A in B was it
What is the sum of
5/13
11/13
and
10/13
Answer:
2
Step-by-step explanation:
5/13 + 11/13 + 10/13 = 26/13 = 2
Answer:
2
Step-by-step explanation:
5/13+11/13+10/13 is the same as
(5+11+10)/13
(16+10)/13
26/13
2
the illustration below shows the graph of y as a function of x complete the following sentences based on the graph of the function
Answer:
*This is the graph of a [NON-LINEAR].
*The y-intercept of the graph is the function value y=[0]. *The smallest positive x-intercept of the graph is located at x=[π/2]. *The greatest value of y is y=[2]. *For x between x= -π and x= -π/2, the function value y[>]0.
This is the graph of a sin function.
The y-intercept of the graph is the function value y = 0
The smallest positive x-intercept of the graph is located at x = π/2
The greatest value of y is y = 2
For a between x = -π and x = -π/2 the function value y > 0
How to identify sin functionsA sine function graph represents the behavior of the sine function over a specific interval. The graph of a sine function has the following characteristics:
Shape: The graph of a sine function resembles a wave. It consists of a series of repeated crests (peaks) and troughs (valleys) that oscillate above and below a central line called the midline.
Period: The graph repeats itself over a specific interval called the period. The standard period of the sine function is 2π radians or 360 degrees. This means that the graph completes one full wave cycle in this interval.
Amplitude: The amplitude determines the vertical distance between the midline and the maximum or minimum points of the graph. It represents the maximum deviation of the function from the midline. The amplitude of the sine function is always positive.
Midline: The midline is the horizontal line that the sine function oscillates around. It is located between the maximum and minimum points of the graph and has a constant y-value.
Learn more about sin function at
https://brainly.com/question/12595712
#SPJ2
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
URGENT !!! ASAP I need this
25 point !!
You are purchasing "photo books as holiday gifts this year. As page
photo book costs $10.50 and a 10 page photo book costs $17.50. You have
a total of $203 to spend on holiday gifts. Write an equation to model the
situation. If you purchased 5 10 page books, how many 5 page books did
you buy?
Answer:
87.5 ( not the full answer)
Step-by-step explanation:
5 10 page books will be 17.50 X 5 and that would be 87.5
The rest is 87.5 X 10.50 until you get 203.
sorry couldn't help more.
Please help thank youu
Answer:
2√73 or 17.09 inches
Step-by-step explanation:
The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²
a = 6
b = 16
c = ?
Plug these values into the equation.
(6)² + (16)² = c²
Evaluate the exponents.
36 + 256 = c²
292 = c²
Take the square root of both sides to find c.
√292 = √c²
17.09 ≈ c
This is your answer.
You can also simplify the radical without using decimals.
4 • 73 = 292
Therefore,
√4 • √73 = √292
Which also means,
2•√73 = √292
So your answer is: 2√73
Hope this helps!
Answer:
We use the pythagorean theorem a²+b²=c² and in this question
a = 6
and
b = 16
so
36 + 256 = c²
so
c² = 292 so now we take the square root of it to get [tex]\sqrt{292}[/tex]
Hope this helps!
Anyone know how to do this?
Answer:
38
Step-by-step explanation:
Yes frist you add 3x+8+62 = 5x+50
8increase by 3 times a number (t).
Answer:
8 + 3n
Step-by-step explanation:
Answer:
8 + 3t
Explanation:
LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?
A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)
Answer:
B
Step-by-step explanation:
The new position of point P (h, k) will become P’ (k, -h).
Answer:
The answer above me is INORRECT!!! Look below!!!
Step-by-step explanation:
you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell each week?
Answer: 8
Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84
84- 36 = 48/6 = 8
I need help??????????????
Answer:
20
Step-by-step explanation:
[tex]50*0.40=20[/tex]
Answer:
20 times at first base
Step-by-step explanation:
A company's stock was selling at
$30 a share. A month later, it was
selling at $33 a share. What is the
percent gain?
Answer:
10%
Step-by-step explanation:
Solve
Root 3x+5 - root x-1 =0
Answer:
undefined
Step-by-step explanation:
3x+5=x-1
2x=-6
x=-3
but when u check its undefined
What is the common denominator of 3 4 and 5 8
Answer:
its 8
Step-by-step explanation:
Help Urgent!
Answer options
The integer selected will be even.
The integer selected will be a multiple of 5.
The integer selected will be a multiple of 10.
The integer selected will be a multiple of 20.
Answer:
Step-by-step explanation:
There are 2 multiples of 20
There are 5 multiples of 10
There are 10 multiples of 5
There are 25 multiples of two (even)
So selecting an even integer is most likely.
The probability of an archer hitting her target is 83%. Suppose she has 20 shots to take, and each shot is independent of the others. Let X represent the number of targets hit. What is the mean of X?
4.1
8.3
16.6
83
Answer:
16.6
Step-by-step explanation:
Edge
A
B
C
D
Or none of the above?
