I need help with math
Frank's Hardware's store has a rectangular logo with a width of 3.4m
and area 13 square meters, we are to obtain the length,
\(\begin{gathered} \sin ce\text{ Area=L}\times B \\ The\text{ equation becomes;} \\ L=\frac{13}{3.4} \end{gathered}\)Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3+y2/3=4;(−3√3,1)�2/3+�2/3=4;(−33,1)
To find the equation of the tangent line to the curve at the given point, we need to use implicit differentiation. This involves differentiating both sides of the equation with respect to x, treating y as a function of x.
Taking the derivative of both sides of the equation, we get:
(2/3)x^(-1/3) + (2/3)y^(-1/3)*dy/dx = 0
Now we can solve for dy/dx:
dy/dx = -(y^(1/3)/x^(1/3))
To find the equation of the tangent line, we need to find the slope of the tangent line at the given point. Plugging in the coordinates (-3√3,1) into our expression for dy/dx, we get:
dy/dx = -(1^(1/3)/(-3√3)^(1/3)) = -(1/3)
So the slope of the tangent line is -1/3.
Next, we need to find the y-intercept of the tangent line. To do this, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the values we have so far, we get:
y - 1 = -(1/3)(x + 3√3)
Simplifying this equation, we get:
y = -(1/3)x - √3 + 1
So the equation of the tangent line to the curve x^(2/3) + y^(2/3) = 4 at the point (-3√3,1) is y = -(1/3)x - √3 + 1.
To start, we'll use implicit differentiation to find dy/dx (the derivative of y with respect to x). Differentiating both sides of the equation with respect to x, we get:
(2/3)x^(-1/3) + (2/3)y^(-1/3)(dy/dx) = 0.
Now, we can solve for dy/dx:
(2/3)y^(-1/3)(dy/dx) = -(2/3)x^(-1/3).
dy/dx = -[x^(-1/3)/y^(-1/3)].
Next, plug in the given point (-3√3, 1) into the expression for dy/dx:
dy/dx = -[(-3√3)^(-1/3) / 1^(-1/3)] = -(-1/3).
Therefore, dy/dx = 1/3 at the given point.
Now, we have the slope of the tangent line (1/3) and the point (-3√3, 1). Using the point-slope form of a linear equation, we can find the equation of the tangent line:
y - 1 = (1/3)(x + 3√3).
Thus, the equation of the tangent line to the curve x^(2/3) + y^(2/3) = 4 at the point (-3√3, 1) is y - 1 = (1/3)(x + 3√3).
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Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20 days?
Add the difference in the days to the number of yards.
Subtract the difference in the days from the number of yards.
Find the number of yards per day by division, and then multiply that quotient by the number of days.
Find the number of yards per day by division, and then divide that quotient by the number of days.
Answer:
the number of yards per day is 4
Step-by-step explanation:
because if you divide 6 with 18 you get 4 so theirs your answer
Answer:
C
Step-by-step explanation:
C
pleasee help me fast
hope it will helpful to you please reply me it is correct or not
Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
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How to solve it??? Which formula to be use. Also which sides would be taken??
The values of x and y are x = 45/7 and y = 42/5
How to determine the values of x and y?To calculate the value of x
Here, we make use of the ratio
AC : BC = AQ : QP
This gives
x : 5 = x + 9 : 12
Express as fractions
x/5 = x + 9/12
Cross multiply
12x = 5x + 45
Evaluate the like terms
7x = 45
Divide by 7
x = 45/7
To calculate the value of y
Here, we make use of the ratio
AB : BC = AP : PQ
This gives
6 : 5 = 6 + y : 12
Express as fractions
6/5 = 6 + y/12
Cross multiply
30 + 5y = 72
Evaluate the like terms
5y = 42
Divide by 5
y = 42/5
Hence, the values of x and y are x = 45/7 and y = 42/5
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A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
Acceleration a in feet per second squared, distance traveled d in feet, velocity v in feet per second, and time t in seconds are related in the formula d=vt+1/2at².
a. Prove that if the values for distance, velocity, and time are known, then the acceleration of an object can be calculated using the formula a=2d-2v t/t²
With the formula d=vt+1/2at², we can prove that the acceleration of an object can be calculated with a=2d-2v t/t²
To solve this problem we must establish the equation, isolate the variable (a) following the rules of clearance and solve the operations:
What is adding goes to the other side of the equality by subtracting.What is multiplying goes to the other side of the equality by dividing.d=vt+1/2at²
1/2at² = d - vt
at² = (d - vt)*2
at² = 2d - 2vt
a= (2d - 2vt) / t² verified
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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v=4/3πr^3
solve for r
Answer:
square root 3v/4pie=r
Step-by-step explanation:
ignore thos
Please Help! Ratio question!
Answer:
10
Step-by-step explanation:
divide 1800 by 20 and 1800 by 18 and find the difference
the triangle shown has a area of 5^2 solve for x
The base of the triangle x, with an area of 5 units square is equal to 2 units.
How to solve for the base x of the triangleFor any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;
Area of triangle = 1/2 × base × height
we have the area as 5 units square and the height as 5 units, so we solve for the base x as follows:
1/2 × x × 5 units = 5 units²
divide through by 5 units;
1/2 × x = 1 unit
multiply both sides by 2;
x = 2 units
Therefore, the base of the triangle x, with an area of 5 units square is equal to 2 units.
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Possible question:
The triangle with an area of 5 units square and height 5 units has the length of its base as x. Solve for x.
range of f(x)=6x+7/2x+1
Answer:
( - ∞ , ∞ )
Step-by-step explanation:
The half-life of a radioactive kind of protactinium is 1 minute. If you start with 992 grams of it, how much will be left after 4 minutes?
Answer:
560
Step-by-step explanation: it makes sense, can I get one brainliest for that?
GIVING BRAINLIEST! HELP
Answer:
Below
Step-by-step explanation:
125 kg * 2.204 pound/kg = 275.5 pounds
Answer:
D. 275.5 pounds
Step-by-step explanation:
1 kg = 2.204 lbs
=> 125 kg = (125 kg)(2.204 lbs/1 kg) = 275.5 lbs
Solve: 70 x 103^3.
A 7,000
B 700,000
C 700
D 70,000
Answer:
D 70,000
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
simple if you know how to multiply cuz thats all you doing anyway.
anyways you Welcome.
The two triangles in the diagram are similar There are two possible values of x.
Work out each of these values.
State both assumptions* you make in your working
The two possible values of x are 2cm and 12 cm.
By changing the order of vertices,
Using the similarity of triangles,
ΔABE ∼ ΔACD
ΔABE ∼ ΔADC
ΔAEB ∼ ΔACD
ΔAEB ∼ ΔADC
Now,
When ΔABE ∼ ΔADC and ΔAEB ∼ ΔACD,
Then,
By the property of similar triangles,
AB/AD = AE/AC
10/18 = 15 / (10 + x )
By cross multiplication,
10( 10 + x ) = 18 × 15
100 + 10x = 270
Subtracting 100 from each side,
100 + 10x - 100 = 270 - 100
10x = 170
Dividing each side by 10
x = 17
But, when ΔABE ∼ ΔACD or ΔAEB ∼ ΔADC
Using the property of similar angles,
AE/AD = AB/AC
15/18 = 10 / (10+x)
Using cross multiplication,
15( 10 + x ) = 18 × 10
150 + 15x = 180
Subtracting 150 from each side,
150 + 15x - 150 = 180 - 150
15x = 30
Dividing each side of the equation by 15,
x = 30 / 15
x = 2
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What is known about Θ, the angle between two nonzero vectors u and v, if each of the following is true? Explain your answers.
Answer:
The angle between two nonzero vectors u and v is given by
Cos Θ=u*v/║u║║v║
1) If u*v=0, then CosΘ=0
arccos 0=90°
2) If u*v > 0, then CosΘ >0
If (cos Θ > 0, then Θ is less than 90°
3) If u*v < 0, then Cos Θ < 0
If Cos Θ < 0, then Θ is greater than 90°
OAmalOHopeO
Complete the
following patt
using the formula belowo:
Question 2: lf 2,5,8,11,14......is a sequence, Find:
8 th
• 11 th
15 th
• 22 th
• 18 th
Answer:
8th: 23
11th: 32
15th: 44
22nd: 65
18th: 53
Step-by-step explanation:
The pattern is adding 3 each time:
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65
Hope it helps!
Michelle’s mom is letting her paint her room pink. What formula would she use to figure out how much paint she needs.
Help me please I don’t know what to do
Answer:
179.3 square units
Step-by-step explanation:
We have to find the area of the rectangle and area of semicircle using the formula and then add the areas.
Area of rectangle:
length = 14 units
width = 10 units
\(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)
= 14 * 10
= 140 square units
Area of semicircle:
diameter of semicircle = width of the rectangle
d = 10 units
r = d ÷ 2
= 10 ÷ 2
= 5 units
\(\boxed{\text{\bf Area of semicircle = $\dfrac{1}{2}\pi r^2$}}\)
\(\sf = \dfrac{1}{2}*3.14*5*5\\\\ = 39.26\\\\ = 39.3 \ square \ units\)
Area of the figure = area of rectangle + area of semicircle
= 140 + 39.3
= 179.3 square units
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.
The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (3-6 Conditional Proof)
8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)
This leads us to the conclusion that N implies (O and P).
Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (Conjunctive Simplification)
Therefore, we have derived the conclusion that N implies (O and P).
Complete Question:
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
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Please help me with the circled math question homework
The expressions are simplified to give;
7. 4n³(3n² + 4)
8. -3x(3x² - 4)
9. 5(k² - 8k + 2)
10. -10(6 + 6n² + 5n³)
11. 3(6n³ - 4n - 7)
12. 9(7n³ + 9n + 2)
What are algebraic expressions?Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.
These algebraic expressions are also made up of arithmetic operations, such as;
AdditionBracketSubtractionDivisionParenthesesMultiplicationTo factorize the expressions, we have;
12n⁵ + 16n³
Find the common term
4n³(3n² + 4)
-9x³ - 12x
find the common term
-3x(3x² - 4)
5k² - 40k + 10
find the common terms
5(k² - 8k + 2)
-60 + 60n² + 50n³
find the common term
-10(6 + 6n² + 5n³)
18n³ -12n - 21
find the common term
3(6n³ - 4n - 7)
63n³ + 81n + 18
Find the common term
9(7n³ + 9n + 2)
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Seema read 511 of the book during weekday and the ret of the
book he planned to read during the weekend. What part of the book
i left for reading during the weekend?
Seema left 6/11 of the book for reading over the weekend.
To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.
If Seema reads 5/11 of the book during the weekday, then:
11 - 5 = 6This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.
This question should be written as:
Seema reads 5/11 of the book during weekday and the rest of the book she planned to reads during the weekend. What part of the book is left for reading during the weekend?Learn more about Mike has read 2/4 book here: brainly.com/question/23514329
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Name the types of angles shown.
Check all that apply.
A. complementary angles
B. straight angle
C. right angle
D. supplementary angles
Answer:
the answer is complementary angles
this is because complementary angles add up to 90
The types of angles shown in the given figure are right angle and complementary angle.
What is an angle?When two straight lines meet at a point, then the geometrical figure is formed is called an angle.
Here, we can see a right angle(∠EFH).
Again, ∠EFG + ∠GFH = ∠EFH = 90°
Therefore, ∠EFG and ∠GFH are complementary angles as their sum is a right angle.
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Which of the following are equations of straight lines? Select all that apply. Please keep in mind that for questions like this where there are one or more correct answers, Canvas will deduct points for incorrect selections. yhat = 23 + 4w yhat = 2c +34 yhat = 2h yhat= d2 + 3 yhat = 23r+ 4 yhat=2s + 3t yhat= 3
The equations of straight lines are \hat{y} = 2h, \hat{y} = 23r + 4 and \hat{y}= 2s + 3t. Option(A),(B) and (F) are correct.
A line in the coordinate plane can be described with the help of a linear equation, that is, an equation that has a first-degree expression, like y = 2x – 3.
There are many ways to put the equation of a line in the form y = mx + b,
where m is the slope and
b is the y-intercept,
but they all require the use of algebraic properties of equations, such as addition, subtraction, multiplication, division, and substitution.
The equations of straight lines among the following are: \hat{y} = 2h, \hat{y} = 23r + 4 and \hat{y}= 2s + 3t
Hence, the correct options are:Option A: \hat{y} = 2h , Option B: \hat{y} = 23r + 4 and Option F: \hat{y}= 2s + 3t.
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Solve for y =
Please
Step-by-step explanation:
z = 32°
then
53 + 32 + y = 180 ° ( a straight line )
y = 95°
find hcf and LCM of 40 ,60 and 80
hear here is your answer in attachment attach
Answer:
Step-by-step explanation:
40 = 2*2*2*5
60 = 2 * 2 * 3 * 5
80= 2 * 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240
HCF = 2*2*5= 20
Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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The marked price of a machine is $1200. How much will it cost if there is a discount of 20%? *
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
Please help me simplify these expressions
Answer:
Step-by-step explanation:
If base of variable is same, add the powers
1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹
2) -2n² * -n⁴ * 5n³ = (-2* -1* 5 ) *n²⁺⁴⁺³ = 10n⁹
3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰
Answer:
1. \(x^{11}\) 2. 10\(n^{9}\) 3. 6\(x^{10}\)
Step-by-step explanation:
1. \(x^{11}\)
Imagine the expression is written like this:
(x)(x) * (x) * (x)(x)(x) * (x)(x)(x)(x)(x)
Simply add up the number of x's and have that number be the exponent.
There are 11 x's, so it will be \(x^{11}\)
2. 10\(n^{9}\)
Do the same as above, but this time remember that two negatives equal a positive.
10\(n^{9}\)
3. 6\(x^{10}\)
Again, two negatives equal a positive.
-3 x 2 x -1 = 6
Do the same as the above two.
6\(x^{10}\)