Create and solve TWO systems of your own.One must be where you initially substitute anexpression for y and the other must be whereyou initially substitute an expression for x.

Answer:it should'nt be hard :)

Step-by-step explanation:

Answer:

3,781 miles

Step-by-step explanation:

Do 235x7 and 534x4. then add the two together. srry if im wrong btw. the total should be 3,781 .-.

Answer:

A) Matched pairs design

Step-by-step explanation:

In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.

Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

36

Step-by-step explanation:

1/2 × b× h

= 1/2 × 9×8

= 9×4

= 36 sq. in

Answer:

D. Both of the dot A and B have the same mean

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

y=0

Step-by-step explanation:

1) Obtain x from the first row: x = 2 - 2y

2) Substitute x in the second row, obtaining:

2 - 2y = -4y + 2

3) Solve this 1° order equation:

-2y + 4y = 2 - 2

2y = 0

y = 0

Answer:

5.3333333 or 5 \(\frac{1}{3}\)

Step-by-step explanation:

30 divided by 2 equals 15.

80 divided by 15 equals 5.3333333 or 5 \(\frac{1}{3}\).

Answer:  y= -2x - 500  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b      where b is the y-intercept

-100 = 400 + b

-400  -400  

b = -500  

The y intercept is -500 and the slope is -2 therefore, the equation will be  

 y= -2x - 500

Answer:

y = 9, x = -2

Step-by-step explanation:

1. (9y+4) and (11y-14) are the same size angle, so you can set them equal to each other:

9y+4=11y-14

2. Solve for y:

4=2y-14

18=2y

9=y

3. (3x+28) and 63 together are opposite to (9y+4) so you can set them equal to each other:

(3x+28)+63=(9y+4)

4. You know that y=9, so plug in 9 for y and solve for x:

3x+28+63=9(9)+4

3x+91=85

3x=-6

x=-2

The correct option regarding the multiplication of the functions f(x) and g(x) is given by:

C. \((f \times g)(x) = \frac{x^2 + 6x + 8}{x^2 + 2x - 15}, x \neq -5, x \neq 3\)

To multiply two rational functions, we multiply the numerators of each function and the denominator of each function to generate the rational functions.

In the context of this problem, before multiplying the functions, we can simplify them.

Function f(x) is given by:

\(f(x) = \frac{x^2 - 16}{x^2 + 3x - 10}\)

The numerator and the denominator can be simplified as follows:

Function g(x) is given by:

\(g(x) = \frac{x^2 - 4}{x^2 - 7x + 12}\)

The numerator and the denominator can be simplified as follows:

Then the multiplication function is:

\((f \times g)(x) = \frac{(x + 4)(x - 4)}{(x + 5)(x - 2)} \times \frac{(x + 2)(x - 2)}{(x - 3)(x - 4)}\)

The common terms (x - 4) and (x - 2) are simplified, hence the function is given by:

\((f \times g)(x) = \frac{x + 4}{x + 5} \times \frac{x + 2}{x - 3} = \frac{x^2 + 6x + 8}{x^2 + 2x - 15}\)

Hence option C is correct, with x = -5 and x = 3 being removed from the function due to the fact that they are the zeros of the denominator.

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The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

2 Units wide , 6 units long

Answer: This is what I get.

Step-by-step explanation:

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

:>

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

CD

Step-by-step explanation:

Look at the red lines corresponding the lengths of each triangle.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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The area of the sector is 37.7 ft.

A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.

The formula for the area of a sector is given by

Where θ is the central angle in degrees, and r is the radius of the circle

Here we have

A circle has a radius of 4 ft.  

The central angle of sector formed = 270°

Using the formula, Area of sector = (θ/360°) × π r²

Area of the given sector = [ 270/360] × 3.14 × (4)²

= [0.75 ] × [50.24]

= 37.68 ft

= 37.7 ft

Therefore,

The area of the sector is 37.7 ft.

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Answer: 0.48 rad/sec

Step-by-step explanation:

dx/dt = 3ft

to find d∅/dt when x = 3

Using the right angled triangle

ΔABC

Now perpendicular (BC) = X FT

Base ( AC) 4 ft

so Hypotenuse(AB) = √ (BC² + AC²) = √ ( x² + 4²) = √ ( x² + 16)

and x/4 = tan∅ ; x = 4tan∅

now we differentiate each side

dx/dt = d/dt(4tan∅) = d/d∅(4tan∅) d∅/dt

⇒ dx/dt = (4sec²∅) d∅/dt  = ( 1/4 cos²∅) dx/dt

⇒ d∅/dt = cos²∅/4 × 3 = 3/4 cos²∅

now when x = 3, the length of the beam is

{from our initial equation (AB) = √ (BC² + AC²)}

AB = √(3² + 4²) = √(9 + 16) = 5ft

therefore cos∅ = 4/5

so we substitute in  (d∅/dt = ( 1/4 cos²∅) dx/dt)

d∅/dt = 1/4 ( 4/5)² × 3

d∅/dt = 12/15 = 0.48 rad/sec

Answer:

Use a graphing calc or desmos

Step-by-step explanation:

By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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Answer:

230.74

Step-by-step explanation: