What is the sum of -3/7

Answer: r= 5/2 or r= 2 1/2

Step-by-step explanation:

Answer:

(-6, -2)

Step-by-step explanation:

We can represent the translation of a point 4 units to the left and 5 units up as addition of its coordinates:

"4 units to the left" can be represented as (x - 4, y)

"5 units up" can be represented as (x, y + 5)

on the point (x, y).

Applying this to the given vertex (-2, -7):

(-2 - 4, -7 + 5)

(-6, -2)

Answer:

The answer could be anything below - 7 degrees Fahrenheit, so

-9 degrees Fahrenheit

Step-by-step explanation:

18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help

Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

The profit equation for the sale of pressure cookers for the company Kitchen Masters is:

P = −120p² + 19,800p − 727,450

To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,


Let the profit equation =  89,300.

Now, we solve for p:

89,300 = −120p² + 19,800p − 727,450

Adding 727,450 to both sides:

816,750 = -120p² + 19,800p

Dividing both sides by -120:

-6,805 = p² - 165p

Rearrange the equation to make it Quadratic

p² - 165p + 6,805 = 0

Now we can solve for p using the quadratic formula:

p = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -165, and c = 6,805.

p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)

p = (165 ± √((27,225 - 27220)) / 2

p ≈ 83.618 or p ≈ 81.382

Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

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Answer:

c live

Step-by-step explanation:

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer:

x=-2

Step-by-step explanation: hope this helps you out

25=5x+35

Switch sides

5x+35=25

Subtract 35 from both sides

5x+35-35=25-35

Simplify

5x=-10

Divide both sides by 5

5x/5}=-10/5

x=-2

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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As a result, the shipping container can hold a maximum of 203 100-kilogram crates.

In mathematics, an inequality is a statement that compares two values and shows the relationship between them. It uses symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to show the direction and type of the comparison.

For example, the inequality "2 < 4" means that 2 is less than 4. The inequality "x + 3 ≥ 7" expresses that the value of x plus 3 is greater than or equal to 7.

Inequalities can be solved to find the values that satisfy the condition expressed by the inequality. For example, to solve the inequality "x + 3 ≥ 7", we can subtract 3 from both sides to isolate x:

x + 3 ≥ 7

3 ≥ - 3

x ≥ 4

So, x is greater than or equal to 4. This means that any value of x that is 4 or greater will satisfy the inequality "x + 3 ≥ 7".

Here,

The inequality that can be used to determine the greatest number of 100-kilogram crates that can be loaded onto the shipping container is:

7200 + 100c <= 27500

Where c represents the number of 100-kilogram crates that can be loaded onto the shipping container. To solve for c, we can isolate c on one side of the equation:

7200 + 100c <= 27500

7200 <= 27500 - 100c

(7200 <= 27500 - 100c)/ 100

72 <= 275 - c

0 <= 203 - c

c <= 203

So, the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 203.

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The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10

From the question, we have the following parameters that can be used in our computation:

−2 /2/1 −(−4 3/5)

Express properly

So, we have the following representation

-2 1/2 - (-4 3/5)

Remove the brackets

This gives

-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5

Express the denominator as 10

So, we have

-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10

Evaluate the difference

-2 1/2 - (-4 3/5) = 2 1/10

Hence, the solution is 2 1/10

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The graph of f(x) is shifted 16 units down

The equation of the functions are given as

f(x) = 1/x

g(x) = 1/x - 16

The transformed function is the function f(x)

i.e. from function f(x) to g(x)

By comparing the functions' equation, we can see that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 16 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = 1/x down by 16 units to get to function g(x)

Hence, the graph of f(x) is shifted 16 units down

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Hello friend how are you♥♥♥♥♥♥

Answer:

b

1058.4 hope helpful answer

Answer:

1/12

Step-by-step explanation:

\( \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} \)

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

There are 48 minnows in the aquarium and there are 18 clownfish in aquarium

Given that in an aquarium ratio of minnows and clown fish is 8:3 and the ratio of clownfish and goldfish are in ratio 6:11 and there are 33 gold fishes in the aquarium.

⇒\(\frac{6}{11} =\frac{x}{33}\) ( Here x is the number of clownfish)

⇒x=6×3

⇒x=18

Therefore, The number of clownfish in the aquarium is 18

Now,\(\frac{8}{3} =\frac{y}{18}\)(Here, y is the number of minnows in an aquarium)

⇒y=8×6

⇒y=48

Therefore, The number of minnows in the aquarium is 48

Therefore,The number of minnows in the aquarium is 48 and The number of clownfish in the aquarium is 18

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Drake is correct, and Selena is incorrect in this scenario.Option D.

Selena's Work:

Selena substituted the values for the variables r = -1 and s = -2 directly into the expression before simplifying. She then simplified the expression and evaluated it.

However, this approach is incorrect because the order of operations requires simplification before substitution. Selena should have simplified the expression first and then substituted the values of r and s.

Drake's Work:

Drake followed the correct order of operations. He simplified the expression first and then substituted the values of r = -1 and s = -2. By simplifying the expression, Drake obtained (-1/-2), which simplifies to 1/2. After substituting the values, Drake evaluated the expression correctly and arrived at the final result of 1/2.

Since Drake followed the correct order of operations and obtained the correct result, he is the one who is correct. Selena's mistake was in not simplifying the expression before substituting the values for r and s.

In mathematical operations, it is important to follow the order of operations (PEMDAS/BODMAS) to ensure accurate results. The correct order is to simplify the expression first, and then substitute the given values for the variables. So Option D is correct.

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Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability of at least 6 and no more than 8 is:

\(P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539\)

\(P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024\)

\(P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038\)

Then:

\(P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601\)

0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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By dividing the numerator and denominator by their 3 greatest common factor, the resultant fraction is 8/21 .

To express a portion of a whole or the division of a quantity, use a fraction. It consists of a horizontal or slant line separating the two integers that make up the numerator and denominator. The total quantity of components in the whole is represented by the denominator, while the numerator is the number of equal parts that are being taken into account. As an illustration, the numerator and denominator of the fraction 3/4 are 3 and 4, respectively. Parts of a set, chunks of a pie, and ratios between quantities can all be represented using fractions. Using particular guidelines and algorithms, they can be multiplied, divided, added, or subtracted. To make calculations and comparisons simpler, fractions can be changed to decimals or percentages.

given

We combine the numerators and denominators together to multiply two fractions. So:

(4/9) x (6/7) = (4 x 6) / (9 x 7) = 24/63

By dividing the numerator and denominator by their 3 greatest common factor, the resultant fraction can be made simpler:

24/63 = (3 x 8) / (3 x 21) = 8/21

Because of this, 4/9 x 6/7 Equals 8/21.

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

answer 500

Step-by-step explanation:

2x2-40x33 divided by 2 and boom answer 500

Anser:

m∠C=42

Step-by-step explanation:

(2x - 2) + (4x - 6) = (5x + 4)

(6x - 8) = (5x + 4)

-4 -4

6x - 12 = 5x

-5x -5x

1x = 12

So 4 * 12 - 6 = 42

m∠C=42

Answer:

1260

Step-by-step explanation:

Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

From the question, we have the following parameters that can be used in our computation:

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

If you want an expression answer (Simplify):

= 7/4a - 11

If you want an answer to the variable a (Find 'a'):

7/4a - 11 = 0

7/4a = 11

a = 44/7

Step-by-step explanation:

3/4(5a - 16) - 1/3(6a - 3)

= 15/4a - 12 - 2a + 1

= 7/4a - 11