Answer:
Step-by-step explanation:
Use the power rule of differentiation:
\(x^n=nx^n^-^1\\7*\frac{8}{7} x^\frac{1}{7} =8x^\frac{1}{7} \\-5*\frac{1}{6} x^\frac{-5}{6} =-\frac{5}{6} x^\frac{-5}{6} \\8x^\frac{1}{7} -\frac{5}{6} x^\frac{-5}{6} =y'\)
Now take the derivative of that function:
\(8*\frac{1}{7} x^\frac{-6}{7} =\frac{8}{7} x^\frac{-6}{7} \\-\frac{5}{6} *\frac{-5}{6} x^\frac{-11}{6} =\frac{25}{36} x^\frac{-11}{6}\\\frac{8}{7} x^\frac{-6}{7} +\frac{25}{36} x^\frac{-11}{6} =y''\)
Now simplify:
\(\frac{8}{7\sqrt[7]{x^6} } +\frac{25}{36\sqrt[6]{x^1^1} } =y''\)
Sean places 21 tomato plants in rows. All rows contain the same number of plants. There are between 4 and 12 plants in each row. How many plants are in each row? its just for my younger brother
Answer:
7 plants
Step-by-step explanation:
21 tomato plants in all.
They all have the same number of plants per row.
There are 7 plants in each row.
In July, a paleontologist found 368 fossils at a dig. In August, she found about 14 fossils per day.
Is the number of fossils the paleontologist found in August proportional to the number of days she spent looking for fossils that month?
Answer: Yes
Step-by-step explanation:
The ratios of number found to the number of days are all equal to 14 fossils per day.
(Plus I just did this and got it wrong but saw the right answer which is this)
Answer:
nppppppppp
Step-by-step explanation:
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
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3rd one
25. 2/11 yvyvybyivyvtcyvjjvyvyvufugucyftcyf
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
Which is the constant of variation, k, if y=kx, and y=3 when x=4?
3/4
4/3
3
4
Answer:
k = \(\frac{3}{4}\)
Step-by-step explanation:
given variation equation
y = kx
to find k substitute y = 3 and x = 4 into the equation and solve for k
3 = 4k ( isolate k by dividing both sides by 4 )
\(\frac{3}{4}\) = k
Find the area of the figure shown. Please someone helppppp
If the interest rate on a 15-year mortgage for $225,000 were changed from 2.9% to 2.6%, how much would you save over the life of the loan?
The amount saved when the interest rate is changed will be $10125.
How to calculate the value?When the interest rate was 2.9%, the amount will be:
= (Principal × Rate × Time) / 100
= (225000 × 2.9 × 15) / 100
= $97875
When the interest rate was 2.6%, the amount will be:
= (Principal × Rate × Time) / 100
= (225000 × 2.6 × 15) / 100
= $87750
Therefore, the amount saved will be the difference between the two interests calculated. This will be:
= $97875 - $87750
= $10125
The amount saved is $10125
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Help please! Answer both, it's all one question.2 0 C H A R E C T E R S
Consider the right triangle below:
The length of the missing leg, AC= meters
Round your answer to the nearest tenth.
Note: Figure not drawn to scale and all the measurements are in meters.
What is the perimeter of triangle ABC
244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
I would like to know how to solve this answer.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
k > 0
k * v
Step 02:
Scalars and Vectors:
k = scalar
v = vector
Scalar multiplication of a real vector by a positive real number multiplies the vector's magnitude, without changing its direction.
k * v
The answer is:
k v is parallel and has same direction as v
peaches at the farmers market cost 2.70 per pound is it proportional
Solve for x to find the value that makes these ratios proportional. 5/6 = x/14
Answer:
³⁵/₃
Step-by-step explanation:
⁵/₆ = ˣ/₁₄
Simply multiply both sides by 14:
14(⁵/₆) = x
x = ³⁵/₃
Answer:
x = 10/3Step-by-step explanation:
Solve for x to find the value that makes these ratios proportional. 5/6 = x/14
5 : 6 = x : 4
x = 5 * 4 : 6
x = 20 : 6
x = 10/3
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?
96 in2
48 in2
40 in2
20 in2
The area of rectangle is 96in2 which is option A.
Area of rectangle calculation.
To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.
The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.
The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.
Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.
So the answer is 96 in².
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The perimeter of a rectangle is 245 feet. The short sides are each 30 feet long, but the lengths of the long sides are unknown. What equation represents this situation?
Answer:
2(30) + 2x = 245
Step-by-step explanation:
As u know a rectangle has four sides, two equally long sides and two equally short sides. If each of the short sides are 30, that means 30 times 2 adding the 2 missing long sides would equal 245. So the long sides are going to be represented with x in this equation:
2(30) + 2x = 245
To make sure our equation is right, lets try solving it:
2(30) + 2x = 245
60 + 2x = 245
subtract 60 from both sides
2x = 185
x = 92.5
Now put 92.5 in the equation instead of x to confirm:
2(30) + 2(92.5) = 245
60 + 185 = 245
245 = 245
bought for 15$ sold for 49.50, what is markup percentage?
Answer:
17.65%
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve
Pls help me it's urgent!
The formula that defines the sequence is f(n) = f(n-1) + 4
Recursive functionThe recursive function rule is expressed as;
f(n) = f(n-1) + d
where
d is the common difference
Given the following sequence
2, 6, 10, 14, 18..
Determine the common difference
d = 6-2 = 10-6
d = 4
Substitute to have
f(n) = f(n-1) + d
f(n) = f(n-1) + 4
Hence the formula that defines the sequence is f(n) = f(n-1) + 4
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Use the chain rule to find the derivative of
f(x) = 4√/8x³ + 2x4
Type your answer without fractional or negative exponents. Use sqrt(x) for √√x.
X.
f'(x) =
Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
What is the derivative of the function?To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.
Let's break down the function into its components:
u(x) = 8x³ + 2x⁴ (inside function)
v(u) = 4√u (outer function)
To find the derivative, we apply the chain rule, which states:
(f(g(x)))' = f'(g(x)) * g'(x)
In this case, f(g(x)) = v(u(x)), and g(x) = u(x).
First, let's find the derivative of the inner function u(x):
u'(x) = 24x² + 8x³ (using the power rule for differentiation)
Next, let's find the derivative of the outer function v(u):
v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u
Now, we can apply the chain rule:
f'(x) = v'(u(x)) * u'(x)
f'(x) = (2/√u) * (24x² + 8x³)
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
The derivative of the function is (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
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Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Mr. Jones has taken a survey of college students and found that 1 out of 6 students are liberal arts majors. If a college has 13,000 students, what is the best estimate of the number of students who are liberal arts majors?
Answer: 2166
Step-by-step explanation: Hopefully im correct :3 Have a nice day
Help please -A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there?
Answer:
125
Step-by-step explanation:
the statement " 5 symbols for a 3-symbols- long pass code" in mathematics simply means 5 has a power of 3 or 5^3 = 5×5×5= 125
1. The circumcenter of ARST is A. What is the length of AT?
The correct option is D. For the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.
What is the circumcenter of a triangleThe circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from the three vertices of the triangle and is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.
Hence;
AS = AR = AT
3x - 7 = 2x + 3
3x - 2x = 7 + 3 {collect like terms}
x = 10
so;
AS = 3(10) - 7
AS = 30 - 7
AS = 23 and AT also is = 23.
Thus , for the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.
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3x+(8x-16) simplest form
Step-by-step explanation:
3x × 8x- 3x×16
24x -48x
-24x
2020-2021-T-Math-Gr05-T11 Question: 1-16
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
0 36 cubic feet
72 cubic feet
O 216 cubic feet
O 396 cubic foet
Given:
The side length of a cube is 6 feet.
To find:
The volume of the cube.
Solution:
We know that the volume of a cube is:
\(V=a^3\)
Where, a is the side length of the cube.
Putting \(a=6\) in the above formula, we get
\(V=(6)^3\)
\(V=216\)
The volume of the cube is 216 cubic feet. Therefore, the correct option is C.
A college has an acceptance rate of about 21% if 8700 students apply about how many will be accepted
Answer:
1827
Step-by-step explanation:
Answer:
1827
Step-by-step explanation:
21% of 8700 = 1827
Mark as Brainliest
Diego has 90 songs on his playlist how many songs are there for each genre
Answer:
40% rock
10% country
30% hip-hop
The rest is electronica
Step-by-step explanation:
hope this helped