29 + 15x = -x - 3. Simplified
PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
Eva, Josh, and David gather and peel oranges for their mother. Eva gather 212 pounds of oranges, Josh collects 3.25 pounds, and David picks 438 pounds. If they place all the oranges in one basket and each peels the same amount, how many pounds would each person peel?
The total number of pounds of oranges that they collected is
212 + 3.25 + 438 = 653.25 pounds
Given that they put them in one basket and they each peeled the same amount, then the number of pounds that each would peel is
653.25/3 = 217.75
Each peeled 217.75 pounds
Please help find the radius, circumference, and area
Of all rectangles with a perimeter of 29, which one has the maximum area? (Give the dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the rectangle, w? Aequals 14.5 w minus w squared (Type an expression.) The interval of interest of the objective function is nothing. (Type your answer in interval notation. Use integers or simplified fractions for any numbers in the expression.) The rectangle that has the maximum area has length nothing and width nothing. (Simplify your answer.)
Answer:
For maximum area: Its a square of dimensions 7.25 * 7.25.
Step-by-step explanation:
We can use calculus to solve this:
Let the length of the rectangle be L and the width be W then we have
2L + 2W = 29
L + W = 14.5
W = 14.5 - L
Area = WL
A = L(14.5 - L)
A = 14.5L - L^2
We need this to be a maximum.
Finding the derivative:
dA/dW = 14.5 - 2L = 0 for a maximum
2L = 14.5
L = 7.25
Also W = 14.5 - L
= 14.5 - 7.25 = 7.25.
So the dimensions for maximum area are 7.25 * 7.25.
The figure is a SQUARE.
The perimeter of a rectangle, is the sum of its side lengths.
The rectangle that has the maximum area when the length is 7.25 and the width is 7.25
The perimeter is given as:
\(\mathbf{P = 29}\)
Let the dimensions be l and w.
So, we have:
\(\mathbf{2( l + w) = 29}\)
Divide both sides by 2
\(\mathbf{l + w = 14.5}\)
Make l the subject
\(\mathbf{l = 14.5 - w}\)
The area of a rectangle is:
\(\mathbf{A = lw}\)
Substitute \(\mathbf{l = 14.5 - w}\)
\(\mathbf{A = (14.5 - w)w}\)
Open brackets
\(\mathbf{A = 14.5w - w^2}\)
Differentiate
\(\mathbf{A' = 14.5 - 2w}\)
Set to 0
\(\mathbf{14.5 - 2w = 0}\)
Collect like terms
\(\mathbf{2w = 14.5}\)
Divide both sides by 2
\(\mathbf{w = 7.25}\)
Recall that: \(\mathbf{l = 14.5 - w}\)
So, we have:
\(\mathbf{l = 14.5 - 7.25 = 7.25}\)
Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25
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2 Select the correct answer. What is the product of (x-3) and (x + 7)? OA. x2 + 10X-21 O B. x2 + 4x-21 Oc. &- 4X-21 OD. x - 10x-21 Reset Next
multiply each term by each term and sum the results
\(\begin{gathered} (x\times x)+(x\times7)+(-3\times x)+(-3\times7) \\ x^2+7x-3x-21 \\ x^2+4x-21 \end{gathered}\)so, the right option is B
the right option is A because
\(h^2+h-2\)if we factor this expression by any way we obtain
\((h+2)(h-1)\)heights of statistics students were obtained by a teacher as part of an experiment conducted for the class. The last digit of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What can be said about the accuracy of the results? 0 0 0 0 0 0 0 0 0 1 2
Answer:
1) B. The height appear to be reported because there are disproportionately more 0s and 5s.
2) A. They are likely not very accurate because they appear to be reported.
Step-by-step explanation:
The distribution table is shown below:
Last Digit Frequency
0 9
1 1
2 1
3 3
4 1
5 11
6 1
7 0
8 3
9 1
1. Based on the distribution table, we see a very disproportionate distribution. There is a high frequency of 0's and 5's. This lays credence to the heights being reported rather than measured. As such, option B is the correct answer
B. The height appear to be reported because there are disproportionately more 0s and 5s.
2. Since the heights were reported and not measured, they are most certainly not accurate. The conclusion is that the result is not accurate. As such, option A is the correct answer
A. They are likely not very accurate because they appear to be reported.
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
what is 5/8 - 1/10 please help
Answer:
0.525
Step-by-step explanation:
by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry
I NEED HELP PLEASE IM STRUGGLING!!?!?!?
You can use the DESMOS GRAPHING CALCULATOR to find the answers right away
Step-by-step explanation:
y2-y1/x2-x1
slope=rise/run
formula=y=mx+b
That's all you need to know to solve the questions
What is the slope of the line
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
What is the cost of 11 movie tickets 4 movie tickets cost $48.
Step-by-step explanation:
I think 132dollor in this question
(3b) Write a multiplication equation that corresponds to this division equation.
4.5 divided 3 = ? *
Answer:
?⋅3=4.5 or 3⋅?=4.5
How do you write the number 11 and standard form
11: Eleven
Step-by-step explanation:
11
Eleven
Your welcome
PLEASE HELP WILL MARK BRAINLEIST!!!!! 25 POINTS
Answer:
C. 7
Step-by-step explanation:
8/4 =2
2^3 is 8
4+8=12
12-5=7
Hope this helps!
I need help
PLEASE HELP
Answer:
79
Step-by-step explanation:
The SUM of ... 9. The sum of r and 45 is 79. 10. The quotient of x and 7 is equal to 13. r + 45 = 79.
who is the first 6 millionth person to die
Answer: Beth Blauer
Step-by-step explanation:
Factorise 4x³+8x guys plz
Answer:
4x (x²+2)
Hope that helps
Answer:
4x(x+2x)
Step-by-step explanation:
There is no further explanations on it
27. What is the reflection image of (5, –3) across the y-axis? (–5, 3) (–5, –3) (–3, 5) (5, 3)
The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
A pound of ground beef costs $5. what is the cost of 1/2 pound?
Answer:
$2.50
Step-by-step explanation:
x/5 = 1/2
x is equal to 1 because it is half of the total and 1 is half of 2.
5 is equal to 2 because it is the whole amount and 2 is also the whole amount.
If you then solve for x by doing
5(1) = 5
5/2 = 2.5
You get 2.5 or $2.50.
Answer:
simple $2.50
Step-by-step explanation:
1 pound is $5 so half of that is $2.50
a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?
Answer:
8 hours and 8 minutes
Step-by-step explanation:
there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.
Vivian opened a bank account and deposited $4,000. Her balance has been decreasing at a rate of 3.4% annually. How much will she have after 6 years? Answer as a decimal rounded to the nearest cent.
The amount vivian will have after 6 years of time is $13329.05.
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
\(CI = P\left(1 +\dfrac{R}{100}\right)^T - P\)
The final amount becomes:
\(A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T\)
We are given that;
Amount deposited= $4,000
Rate= 3.4%
Time=6 years
Now, substituting the values in the amount formula
A= 4000(1+0.034/100)^6
A= 4000*(1.222)^6
A=4000*3.332
A= 13329.05
Therefore, the amount with compound interest will be $13329.05
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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Write the sum of 5(3f+1g+9)
Answer:
15f+5g+45
Step-by-step explanation:
To do this, we have to distribute 5 to each of the terms in the parentheses:
5(3f+g+9)
5(3f)+5(g)+5(9)
15f+5g+45
Find the missing side round your answer to the nearest tenth.
Answer: 20.5
Step-by-step explanation:
Cos 43 = X/28
O.73 = x/28
(0.73)(28)=20.5
You move left 4 units and right 3 units. You end at (-2, -1). Where did you start?
Answer:
-2 y
Step-by-step explanation:
help me again please 7⅕ ÷ ⅗ =
Answer:
7 3/5 is the correct answer
Korine is on a boat going to an island twelve miles away for a picnic. The way there, with the
current, it takes her 3 hours while the way back, against the current, it takes her 4 hours. What
is the speed of her boat and what is the speed of the current?
To answer this question, it is necessary to use the definition of velocity, in order to get a two equations system
The answer is:
vb ( boat velocity ) = 3.5 m/h
vw ( water velocity) = 0.5 m/h
We know:
v = d/t ( velocity is the distance travel over a certain period of time)velocity is a vector then if two velocities: have the same direction, you must add them to get the total velocity and subtract them, if they have opposite direction)First trip, ( going to the picnic) both velocities have the same direction,
we call vb velocity of the boat, and vw the velocity of the water, then
3× vt = 12
vt = vb + vw
3 × ( vb + vw ) = 12 ⇒ 3×vb + 3×vw = 12 (1)
Return trip, both velocities with opposite directionvt = vb - vw ( we write vb - vw because they arrive at the beginning, meaning that vb > vw.
( 4× vt ) = 12
4 × ( vb - vw ) = 12 4×vb - 4×vw = 12 (2)
We have a two equations system
3×vb + 3×vw = 12
4×vb - 4×vw = 12
Solving for vb and vw
3×vb = 12 - 3×vw ⇒ vb = ( 12 - 3×vw / 3 ) ⇒ vb = 4 - vw
plugging that value in equation (2)
4 × ( 4 - vw ) - 4×w = 12 ⇒ 16 - 8 ×vw = 12
8 × vw = 4
Hence
vw = 4/8 miles per hour ⇒ vw = 0.5 m/h
and vb = 4 - 0.5
vb = 3.5 m/h
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