please help guys asap i need help please help guys i need help

Answer:

Step-by-step explanation:

1.  The slope is -5/2

2. There is no slope for the second one it's just y=3

3. The slope is 3

4. These are perpendicular lines

5. These lines are parallel.

6. These lines are neither perpendicular nor parallel.

7. These lines are perpendicular

8.  y = 4/3x - 2

9.  y = -1/2x + 5

10. x = -1  

Hope this helps!

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

20

Step-by-step explanation:

just a substitute 3 in x so 3x3=9

11+9=20

Answer:

57.3

Step-by-step explanation:

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

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

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

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

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

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

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

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

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

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

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

Step 1

The domain refers to all values that go into a function. The range refers to all the values that come out.

Step 2

Find the domain

Step 3

Find the range

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer

Check Explanation

Explanation

Using a calculator, we can obtain the exact values of these and easily solve them all.

√31 = 5.568, hence, √31 is between 5 and 6.

√134 = 11.576, hence, √134 is between 11 and 12.

√8 = 2.828, hence, √8 is between 2 and 3.

√80 = 8.944, hence, v80 is between 8 and 9.

√111 = 10.536, hence, √111 is between 10 and 11.

√320 = 17.889, hence, √320 is between 17 and 18.

√3 = 1.732, hence, √3 is between 1 and 2.

Hope this Helps!!!

Solution :

\($T_1$\) = k.n (cost proportional to quantity)

35000 = k . 700

k = \($\frac{35000}{700}$\)

  = 50

So \($T_1$\) = 50 n

Now \($T_2=Pn^2$\)     (cost proportional to square of n)

\($3430= P(700)^2$\)

3430 = 490000 P

\($P = \frac{3430}{490000}$\)

\($P = \frac{7}{1000}$\)

\($T_2=\frac{7}{1000}n^2$\)

Now, \($T_3= 7000$\)   (fixed)

Therefore,

Total, \($T=T_1+T_2+T_3$\)

\($T=50n+\frac{7}{1000}n^2+7000$\)

\($T=0.007n^2+50n+7000$\)

The required formula in terms of T and n is T = 0.000\(n^{2}\) + 50 n +7000.

Given that ,

The total daily cost = T

When producing and storing n items is the sum of production, storage and fixed costs.

The manufacturing cost of a product when 700 items produced = $35000 dollars per day.

Daily storage cost of when 700 items are stored = $3430 dollars

We have write the formula in terms of total daily cost T and n stored items.

According to the question,

The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items are produced.

Where ,total daily cost T and n stored items.

\(T_1 = k . n\)

$35000 =  k.700

\(k = \frac{35000}{700}\)

k = $50

The cost to store n items is proportional to the square of n, with a daily storage cost of $3430 dollars when 700 items are stored.

\(T_2 = pn^{2}\)

$3430 = P \((700)^{2}\)

$3430 = P 490000

\(P = \frac{3430}{490000} \\\\P = \frac{7}{1000}\)

There is a fixed daily cost of $7000.

\(T_3 = 7000\)

Combine all the equation ,

Where T = \(T_1 = T_2 = T_3\) and p = k =n

T = 0.000\(n^{2}\) + 50 n +7000

Hence,  The required formula in terms of T and n is T = 0.000\(n^{2}\) + 50 n +7000.

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Answer:

below

Step-by-step explanation:

below

hoped this help pls give brainliest

Answer:

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

The length and width of the rectangle with a perimeter of 378ft are 168ft and 21ft respectively.

The formula used in calculating the perimeter of a rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug the given values into perimeter formula and solve for x .

P = 2( l + w )

378 = 2( 8x + x )

378 = 2( 9x )

378 = 18x

18x = 378

x = 378/18

x = 21

Now, we find the length and width of the rectangle.

Width of the rectangle w = x = 21ft

Length of the rectangle l = 8x = 8( 21 ) = 168ft

Therefore, the width of the rectangle is 21ft while its length is 168ft.

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Answer:

a)

\(4ydy = xdx\)

\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)

\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)

\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)

b)

c = 4, so

\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)

\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)

\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

v = - 2 ± 2\(\sqrt{6}\)

Step-by-step explanation:

(v + 2)² - 24 = 0 ( add 24 to both sides )

(v + 2)²= 24 ( take square root of both sides )

v + 2 = ± \(\sqrt{24}\) = ± \(\sqrt{4(6)}\) = ± (\(\sqrt{4}\) × \(\sqrt{6}\) ) = ± 2\(\sqrt{6}\) ( subtract 2 from both sides )

v = - 2 ± 2\(\sqrt{6}\)

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

Y=-4/5x+3/5y

Step-by-step explanation: first get the gradient

3--1/-3-2

=4/-5

y-3/x+3=4/-5

-5y+15=4x+12

-5y=4x-3

y=4/-5x+3/5

The area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.

A cube is a three-dimensional geometric shape that has six square faces of equal size and angles, 12 edges of equal length, and eight vertices of equal distance from the center of the cube. A cube is a special case of a rectangular parallelepiped in which all the edges are equal in length.

To divide a cuboid into two cubes, we need to make sure that the dimensions of the cuboid are multiples of the side length of the cubes.

Since the side length of each cube is 3 inches, we can divide the height of the cuboid (which is 8 inches) into two parts, each measuring 4 inches. The base of each cube would then be a square with side length of 3 inches, which means the area of each cube's base is 3 x 3 = 9 square inches.

To find the area of the cross-section, we need to determine which face of each cube will be exposed after dividing the cuboid. Since the cuboid was divided into two cubes, we can assume that the cross-section will be a square with side length of 3 inches (the same as the side length of each cube).

Therefore, the area of the cross-section would be the area of a square with side length of 3 inches, which is 3 x 3 = 9 square inches.

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The volume of a prism is given by the formula:

Where w is the width, l is the length and h is the height of the prism. In this case, we are dealing with a square prism, which means that the base of the prism is a square, as you know, the length and width of a square are the same, thus l=w, then we get:

To find the area of the prism, we have to find the area of each face and then sum them up.

the faces are either a rectangle or a square, for this kind of figures the area equals the length times the width of the figure:

Then, for the top and bottom faces, the area is:

For the right and left faces, we have:

For the front and back faces we have:

By summing up these areas, we get:

Where we added 2 times each area because opposite areas have the same area (like the bottom and top faces, both areas are equal)

Now that we have two expressions, for the area and the volume of the prism, we need to write an equation of S as a function of w, this means that we have to find an expression to calculate S with only one variable appearing (w) so far in our formula of S we have the variables w and h, then we need to find the way of writing h as a function of w and then replace it into the formula of S.

If we take the formula of the volume, replace 125 in^3 for V and then solve for h, we get:

Now let's substitute this expression into the formula of S, like this:

Then, the equation of S as a function of w is:

Answer:

48 years

Step-by-step explanation:

Let the ratio of their ages be

4:2:1

Sum up the numbers

4+2+1

= 7

Their total ages is 84

7/84

= 1/12

Therefore Jim age can be calculated as follows

= 12×4

= 48

Hence Jim is 48 years

The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.

To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).

The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.

We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.

Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.

To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)

Density = 600g / 600 cubic feet = 1g/cubic foot

Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.

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Answer:

ge needs to use 6 tablespoon of chocolate chips