help me if you can thank you

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.

You know two sides of the triangle that is formed by the diagonal.

\(32^2+7^2=\sqrt(c)\)

Please give brainliest.

Answer:

she can knit 1mm/17.5min or she can knit 1mm in 17 minutes and 30 seconds.

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Answer:

Step-by-step explanation:

read the question it says

a 10 mile bike rade is DIVIDED into 4 equal sections

10 DIVIDED BY 4

10÷4=104 miles

Answer:

It is number two

Step-by-step explanation:

6 min => Run 12 laps around the track

1 min => 12/6 = 2 laps around the track

Therefore Lin runs 2 laps per minute.

Answer:

2 laps per minute

Step-by-step explanation:

What we know:

Lin runs

12 laps

in 6 minutes

Laps per minute = \(\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}\)

Answer:

i wish i can help but good luck

Step-by-step explanation:

Answer:

For the diagram to be a parallelogram, then the measure of x is 4

Step-by-step explanation:

If the diagram is a parallelogram, then the diagonals bisect each other

What this mean is that they divide each other into 2

Mathematically, this means that the values AC is divided into two equal parts AE and CE

That means;

5x + 28 = 3x + 36

5x-3x = 36-28

2x = 8

x = 8/2

x = 4

Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

The correct answer of substitution is D. -1

What is Substitution?

the act, process, or result of substituting one thing for another. b : replacing one mathematical entity with another of the same value. 2: one that is replaced by another.

To find the value of \(\frac{dy}{dt}\) at t = 1, we need to differentiate the expression y = √s with respect to t, and then substitute the given values for s and v.

Given: y = √s, s = 20 - v², and v = -2t

Let's start by finding the derivative of y with respect to t using the chain rule:

\(\frac{dy}{dt}\) = (\(\frac{dy}{ds}\))\(\times \frac{ds}{dv} \times \frac{dv}{dt}\)

First, let's find each derivative separately:

\(\frac{dy}{ds}\):

Since y = √s, we can rewrite it as y =\(s^{(1/2)\). Now, we differentiate y with respect to s:

\(\frac{dy}{ds} = \frac{1}{2}s^\frac{-1}{2}\)

\(\frac{ds}{dv}\):

Given s = 20 - v², we differentiate s with respect to v:

\(\frac{ds}{dv}\) = -2v

\(\frac{dv}{dt}\):

Given v = -2t, we differentiate v with respect to t:

\(\frac{dv}{dt}\) = -2

Now, let's substitute these derivatives back into the chain rule expression:

\(\frac{dy}{dt} = \frac{dy}{ds} \times \frac{ds}{dv} \times \frac{dv}{dt}\)

\(= (1/2)s^{(-1/2)} * (-2v) * (-2)\)

We need to evaluate \(\frac{dy}{dt}\)at t = 1, so we substitute the given value of v = -2t:

v = -2(1) = -2

Now we substitute v = -2 and s = 20 - v² into the expression for \(\frac{dy}{dt}\):

\(= -2(20 - v^2)^{(-1/2)}v\)

Substituting v = -2, we have:

\(\frac{dy}{dt}\) = \(-2(20 - (-2)^2)^{(-1/2)}(-2)\)

\(= -2(20 - 4)^{(-1/2)}(-2)\)

\(= -2(16)^{(-1/2)}(-2)\)

\(= -2(4^2)^{(-1/2)}{(-2)\)

= -2(4)(-2)

= 16

Therefore, at t = 1, \(\frac{dy}{dt}\) = 16.

The correct answer is D. -1

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Answer:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

(- 1, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 3 ) ← solution

Given the equation 3x-y = 4.

Write the equation in slope intercept form, that is, y = mx+b.

Comparing with y = mx+b gives m = 3 and b = -4.

So, the slope of the given equation is 3 and y-intercept is -4.

To graph the line, find two points on the line, plot them and join them to get the required line.

When x = 0, y = -4.

When x = 1, y = -1.

The two points on the graph are (0,-4) and (1,-1). Graph the line.

Answer:

5(-4xp+3m-6p)

Step-by-step explanation:

the greatest thing you can factor out from that equation would be 5, as they don't have anything else in common.

Answer:

Yes

5,5

Y

Step-by-step explanation:

Answer:

34 Deg

Step-by-step explanation:

Since the Triangle is isoceles, each of the internal base angle = 180-107=73

Sum of internal angles =180,  Angle4= 180-(73+73)= 180-146=34

The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

The position of a particle moving along a curve in the xy-plane can be described using parametric equations, where x and y are both functions of a third variable, usually time (t).


1. Parametric equations are equations that express the coordinates of a point (x, y) in the xy-plane in terms of a single variable, often time (t). In this case, x = f(t) and y = g(t), where f(t) and g(t) are functions of time.

2. To find the position of the particle at any given time, plug the value of time (t) into both functions, f(t) and g(t), to find the corresponding x and y coordinates. The position of the particle at time t is given by (x(t), y(t)).

3. To visualize the path of the particle, you can plot the curve described by the parametric equations x = f(t) and y = g(t) on the xy-plane. The particle moves along this curve as time progresses.

4. If you need to find the particle's velocity or acceleration, you can calculate the first and second derivatives of the position functions with respect to time.

In summary, the position of a particle moving along a curve in the xy-plane can be described by parametric equations, which relate the x and y coordinates to a third variable, usually time (t). The position of the particle at any given time can be found by plugging in the value of time into the parametric equations.

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Answer:

115.2

Step-by-step explanation:

First we make an equation and replace blank with x.

Look at photos to see solution.

Answer:

A = 7 x 9.3

A = 65.1 yd²

Step-by-step explanation:

(I am assuming that either 7 or 9.3 refers to the height. It is unclear.)

A = bh

Answer:9%

Step-by-step explanation:

Divide 196.20 by 180 = 1.09

1.09x100= 109%
109-100=9%