Answer:
y = (20-4x)/5
Step-by-step explanation:
5y = 20 - 4x
y = (20-4x)/5
Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left,
and half a brownie more, to Tyler. That left her with one remaining brownie.
Can someone please help me with this problem, I really need help.
Answer:
x = 7
Step-by-step explanation:
all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last, multiply 3 1/2 by 2 and you will geet 7 as your final answer.
The answer would be 7!
You would take 1 and add 1/2 to it
= 1 1/2
Then, multiply by 2
= 3
Then add 1/2 to that
= 3 1/2
Then multiply 2 one more time
= 7
This is because Mai gave half of her brownie and then half more of her brownie to each person she gave it to
So you would add 1 + 1/2 and then multiply by 2
Since she did this to 2 people you would repeat one more time!
Hope this helped!
help pls lollll
10th grade mathematics
Answer:
I think it's a because
12÷42= 3.5
and
56÷16=3.5
so
10×3.5=35
Step-by-step explanation:
(1 point) If 3x2 + 3x + xy = 4 and y(4) = –14, find y (4) by implicit differentiation. y'(4) = Thus an equation of the tangent line to the graph at the point (4, -14) is y =
To find y'(4) by implicit differentiation, we differentiate both sides of the equation 3x^2 + 3x + xy = 4 with respect to x.
Differentiating 3x^2 + 3x + xy = 4, we get:
6x + 3 + y + xy' = 0
Since we know y(4) = -14, we substitute x = 4 and y = -14 into the differentiated equation:
6(4) + 3 + (-14) + (4)(-14)' = 0
Simplifying this equation, we have:
24 + 3 - 14 - 56y' = 0
Combining like terms, we get:
13 - 56y' = 0
Solving for y', we find:
56y' = 13
y' = 13/56
Therefore, y'(4) = 13/56.
To find an equation of the tangent line to the graph at the point (4, -14), we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the point (4, -14) and m is the slope y'(4).
Substituting the values, we have:
y - (-14) = (13/56)(x - 4)
y + 14 = (13/56)(x - 4)
Simplifying, we get:
y = (13/56)x - (13/14) - 14
y = (13/56)x - (13/14) - (196/14)
y = (13/56)x - 209/14
Thus, an equation of the tangent line to the graph at the point (4, -14) is y = (13/56)x - 209/14.
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100 POINTS EZ |
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.
Put the values
Area:-
\(\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)\)
\(\\ \rm\Rrightarrow 12(21)\)
\(\\ \rm\Rrightarrow 252m^2\)
Answer:
Step-by-step explanation:
Divide the quadrilateral field into two triangles by its diagonal.
Area of a triangle is given by the equation 1/2*base*height.
The top triangle's area = 1/2*24*13 = 156 m^2
The bottom triangle's area = 1/2*24*8 = 96 m^2
Combining, the area of the field = 156 + 96 = 252 m^2
The total cost to pay for parking at a state park for the day and rent a paddleboat are shown. Number of Hours Cost (5) 1 $17 2 $29 3 $41 4 $53 Part 1 Find the cost to park for a day and the hourly rate to rent a paddleboat. The cost to park for a day Is $ 5 and the hourly rate to rent a paddleboat is $ 12 Part 2 out of 2 What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Complete the explanation. The total cost to rent the boat will be hours per hour + $ friend, they will each pay $ 1+2= If she splits the cost with a
We have the following:
The total cost to rent the boat will be:
3.5 hours x $ 12 per hour + $ 5 = $ 47. If she splits the cost with a friend, they each play $ 47 / 2 = $ 23.5
tentukan panjang BC dari gambar berikut
Answer:
man I
Step-by-step explanation:
hey
Answer:
manatap Fanny neff
Franko
Step-by-step explanation:
alucard
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
study the position-time graph of a hiker
what is the displacement of the hiker after 4 hours?
1. 8 km
2. 9 km
3. 6 km
4. 7 km
Option 2: 9 km seems to be the most likely answer if the hiker's motion is along a straight line.
What is displacement?Displacement refers to the distance between an initial point and a final point of an object's motion, measured in a straight line. In other words, it is the shortest distance between the starting point and ending point of an object's motion, regardless of the path taken.
I would need the position-time graph to accurately determine the displacement of the hiker after 4 hours. However, assuming that the hiker's motion is along a straight line, I can make an educated guess based on the options provided.
Option 1: 8 km - If the hiker's displacement after 4 hours is 8 km, it means that the hiker traveled at a constant speed of 2 km/h (since 2 km/h x 4 hours = 8 km). This would result in a straight line on the position-time graph with a constant slope of 2 km/h.
Option 2: 9 km - If the hiker's displacement after 4 hours is 9 km, it means that the hiker traveled at an average speed of 2.25 km/h (since 2.25 km/h x 4 hours = 9 km). This would result in a straight line on the position-time graph with a constant slope of 2.25 km/h.
Option 3: 6 km - If the hiker's displacement after 4 hours is 6 km, it means that the hiker traveled at an average speed of 1.5 km/h (since 1.5 km/h x 4 hours = 6 km). This would result in a straight line on the position-time graph with a constant slope of 1.5 km/h.
Option 4: 7 km - If the hiker's displacement after 4 hours is 7 km, it means that the hiker traveled at an average speed of 1.75 km/h (since 1.75 km/h x 4 hours = 7 km). This would result in a straight line on the position-time graph with a constant slope of 1.75 km/h.
Without the position-time graph, it is difficult to determine the correct answer. However, based on the options provided.
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Tyler's brother earns a commission. He makes 6.5% of the amount he sells. Last week, he sold $900 worth of shoes.
How much was his commission?
Answer:
He earns $58.5
Step-by-step explanation:
i did the math
what is the value of the expression (1/2)^3
Step-by-step explanation:
(1/2)³ = 1³/2³ = 1/8
that is all there is to it.
identify the values of a, b, and c for the quadratic function in standard form y=-8x^2+6x-3
X+3
=
ov*-
- (3)
ox-()*+1
O
+1
O
or-()***
X-1
+3
oy- ()
+1
-3
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is ~
\(\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}\)
\(\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1\)
Graph attached
A sample distribution of n = 10 scores, has X=45 and S²=25, what is the standard deviation of the scores? a. 0.556 b. 2.5 c. 112.5 d. 5
The standard deviation of the 10 scores is 5. (D)
The standard deviation is a measure of the amount of variability in a set of scores. It is calculated by taking the square root of the variance, which is given by S² in this case.
In this problem, the variance is 25, so the standard deviation is simply the square root of 25, which is either 5 or -5 but will neglect negative value as X>0.
S² = 25
=> S=5
This value tells us how spread out the scores in the sample are, with a larger standard deviation indicating a more variable distribution.
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please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
For an equation 9-3x=21, the first step is
A. Subtract 9 from both sides
B. Add 9 to both the sides
C. Divide 2 on both the sides
D. None of these
Answer: A.Subtract 9 from both sides
Step-by-step explanation:
Answer A: Subtract 9 from both sides
Explanation: You want to solve the x from this equation, then the first thing is to put the number that has no valiable x to the other sides, so in this equations, we want to move 9 to the right side, so we subtract 9 from both sides.
Answer:
A. Subtract 9 from both sides
Step-by-step explanation:
It is the "Correct Answer"
Why doesn't -3^0 simplify to the same thing as 3^0?
Answer:
Step-by-step explanation:
-3^0 doesn't simplify to the same thing as 3^0 because the first 3 is negative and the second is positive.
hope this helped :))
Answer:
There is a negative
Step-by-step explanation:
Every positive number to the 0 power is 1
Every negative number to the 0 power is -1
Let A = [V1 V2 V3 V4 V5] be a 4 x 5 matrix. Assume that V3 = V1 + V2 and V4 = 2v1 – V2. What can you say about the rank and nullity of A? A. rank A ≤ 3 and nullity A ≥ 2 B. rank A ≥ 2 and nullity A ≤ 3 C. rank A ≥ 3 and nullity A ≤ 2 D. rank A ≤ 2 and nullity A ≥ 2 E. rank A ≥ 2 and nullity A ≤ 2
We have rank A ≤ 3 and nullity A ≥ 1. However, it is possible that the nullity is actually greater than 1 (for example, if V1 = V2 = V4 = 0), so the best answer is A. Rank A ≤ 3 and nullity A ≥ 2.
The rank of a matrix is the number of linearly independent rows or columns. From the given information, we can see that V3 is a linear combination of V1 and V2, and V4 is a linear combination of V1 and V2. This means that at least two of the rows (or columns) in A are linearly dependent, which implies that rank A ≤ 3.
The nullity of a matrix is the dimension of its null space, which is the set of all vectors that satisfy the equation Ax = 0 (where x is a column vector). Using the given information, we can rewrite the equation for V4 as 2V1 - V2 - V4 = 0, which means that any vector x that satisfies this equation (with the corresponding entries in x corresponding to V1, V2, and V4) is in the null space of A. This means that the nullity of A is at least 1.
Combining these results, we have rank A ≤ 3 and nullity A ≥ 1. However, it is possible that the nullity is actually greater than 1 (for example, if V1 = V2 = V4 = 0), so the best answer is A. rank A ≤ 3 and nullity A ≥ 2.
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For how many positive integers "n" does 1+2+...+n evenly divide 6n?
a) 3
b) 5
c) 7
d) 9
e) 11
(b) 5.Let's first express 1 + 2 + ... + n as the sum of an arithmetic series:
1 + 2 + ... + n = n(n+1)/2
Now, we need to find the positive integers n for which 6n is divisible by n(n+1)/2, or equivalently, for which n+1 is divisible by 3.
If n+1 is divisible by 3, then either n+1 = 3, 6, 9, ... or n+1 = 4, 7, 10, .... The first case gives n = 2, 5, 8, ... and the second case gives n = 3, 6, 9, ....
Thus, there are 5 possible values of n: 2, 3, 5, 6, and 9.
An arithmetic series is a sequence of numbers where each term is obtained by adding a constant value to the previous term. This constant value is called the common difference. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series with a common difference of 3. The formula for the nth term of an arithmetic series is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term in the sequence, and d is the common difference. The sum of the first n terms of an arithmetic series can be calculated using the formula: S_n = n/2(a_1 + a_n).
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There are 122 cats and dogs. the amount of dogs is 5 more than 2 times the number of cats.
Could you give me an equation and an answer, please
Answer
41 and 81
Step-by-step explanation:
x=a-√b
x = a + √b
what are the values of a and b?
Answer:
\(a=x\\\\b = 0\)
Step by step explanation:
\(x = a - \sqrt b~~~~~~~~~~...(i)\\\\x = a + \sqrt b ~~~~~~~~~~...(ii)\\\\\text{From eq (i) and eq (ii),}\\\\~~~~a - \sqrt b = a+ \sqrt b\\\\\implies \sqrt b + \sqrt b = a-a \\\\\implies 2 \sqrt b = 0\\\\\implies \sqrt b = 0\\\\\implies b = 0\\\\\text{Substitute b = 0 in eq (i):}\\\\~~~~~~x = a- \sqrt {0}\\\\\implies x = a -0\\\\\implies x = a\\\\\implies a = x\\\)
The attendance over a weekly period of time at a movie theater is normally distributed with a mean of 10,000 and a standard deviation of 1000 persons. Find the percent of attendance figures that differs from the mean by 1500 persons or more.
The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.
From the question above, Mean μ = 10,000
Standard Deviation σ = 1,000
The formula for z-score is :
z = (x-μ) / σ
Where, x = observation
z = z-score
Mean μ = 10,000
Standard Deviation σ = 1,000
From the above formula, let's calculate z-score for x = 11,500
z = (x-μ) / σ
z = (11,500 - 10,000) / 1000
z = 1.5
Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.
P(z ≥ 1.5) = 0.0668
To find the percentage, we need to multiply the above value by 100.
P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%
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42 divided by 926 step by step
Answer:
42 cannot be divided into 926 .. however 926 can be divided by 42 and the answer will be 22.04 rounded of to 22
so your answer is: 22
What is the approximate distance between points A and B?
A
-4-3-2
06.32
06.95
07.62
08.56
B
432
052 37
-1
-4
12345
Answer: 7.62
Step-by-step explanation:
\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)
solve for f 8=6+2falgebra
Given the following question:
To find the answer we need to isolate the variable.
\(\begin{gathered} 8=6+2f \\ 2f+6=8 \\ 6-6=0 \\ 8-6=2 \\ 2f=2 \\ \frac{2f}{2}=f \\ 2\div2=1 \\ f=1 \end{gathered}\)Your answer is f = 1.
Nao is going on a cruise in a little while so two days off
Step 1
Find the value of x using the elimination method
Given;
\(\begin{gathered} 5x+7y=9---(1) \\ 3x+7y=11---(2) \end{gathered}\)Hence,
\(\begin{gathered} 2x=-2 \\ \frac{2x}{2}=\frac{-2}{2} \\ x=-1 \end{gathered}\)Step 2
Find the value of y
\(\begin{gathered} \text{From 1} \\ 5x+7y=9 \\ 5(-1)\text{+7y=9} \\ -5+7y=9 \\ 7y=9+5 \\ 7y=14 \\ \frac{7y}{7}=\frac{14}{7} \\ y=\text{ 2} \end{gathered}\)Hence, x = -1 and y = 2
(8.6 x 10-7) - (4.3 x 10-7)
Answer: 43
Step-by-step explanation:
Multiply 8.6 and 10 then subtract 7 then you do 4.3 times 10 then you subtract then subtract the values you get
A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
A.
0.05 − 1.09m + 2.79n
B.
1.05 + 1.09m + 2.79n
C.
1.05(1.09m + 2.79n)
D.
0.95(1.09m + 2.79n)
Answer:
D
Step-by-step explanation:
100% is 1-
5% is 0.05
1-0.05 = 0.95
0.95(1.09m + 2.79n)
Answer:
d
Step-by-step explanation:
A rectangular garden will be fenced using 400 feet of fencing material. One side of the garden is partly covered by the barn and that part will not be fenced. If the barn is 50 feet long, what are the dimensions that will maximize the area of the garden? what is the largest possible area?.
The dimension of the max garden is 125*125 and the max area is 15625 square feet.
Let the length and width of the garden be L and B.
Now, let the barn is along the width. So, now the width became = B-50
So the perimeter = 2(L+B-50)
Now to fence the garden we need 400 feet material.
So, 2(L+B-50) = 400
L+B-50 = 200
B = 250-L .........(i)
So the area of the total garden is given by,
A = LB = L(250-L) \(=250L-L^2\)
So now differentiating the area with respect to length,
dA/dL = 250-2L
\(\frac{d^2A}{dL^2}=\) -2
Now, dA/dL = 0 gives,
250-2L = 0
2L = 250
L= 125
At L = 125, \(\frac{d^2A}{dL^2}=-2 < 0\)
Max A = \(250\times125-125^2=15625\) square feet
So area is maximum when L = 125 feet.
Then the width = B = 250-125 = 125 feet.
Hence the dimension of the max garden is 125*125 and the max area is 15625 square feet.
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PLEAS HELP ASAP 50 POINTS IF RIGHT: A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 7 feet by 3 feet by 4.8 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.
Given dimensions:
Length = 7 feet
Width = 3 feet
Height = 4.8 feet
Surface Area of each face:
Front and back faces: Length * Height
= 7 feet * 4.8 feet
= 33.6 square feet
Top and bottom faces: Width * Length
= 3 feet * 7 feet
= 21 square feet
Side faces: Width * Height
= 3 feet * 4.8 feet
= 14.4 square feet
Total Surface Area:
2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)
= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet
= 67.2 square feet + 42 square feet + 28.8 square feet
= 137 square feet
Therefore, the total surface area of the bench is 137 square feet.
Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.
Cost per square foot = $0.89
Total Surface Area = 137 square feet
Total cost to cover the bench:
= Cost per square foot * Total Surface Area
= $0.89 * 137 square feet
= $121.93
Therefore, it will cost $121.93 to cover the bench with ceramic tiles.
Use the ALEKS calculator to approximate √68.
Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
1\
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