3) Car A and B travel in opposite directions. Both cars leave the same location at the same time. Car A is traveling west at a speed of 10 mph more than Car B, which is headed east. Find the speed of Car A if the two cars are 300 miles apart after traveling 3 hours. Chart is optional. Include units in your answer. *

Answer:

1 chair cost=$452

so of 15 chairs=$452×15=$6780

1 table cost=$1750

so cost of 40 tables=$1750×30=$5250

Total cost=$6780+$5250=$12,030

Step-by-step explanation:

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Step-by-step explanation:

Multiply 32 by 72 to get thw mass.

Answer:

800

Step-by-step explanation:

800

Answer:

Length is 67

Step-by-step explanation:

For the show your work bit, your gonna wanna divide 4288 by 64 to get 67 as your length. Then draw your rectangle with the 64 square feet on one side and put a w next to it. Then on the next side write 67 square feet with an L next to it. Hope this helped!!

\(\\ \tt\hookrightarrow m<6+m<8=180\)

\(\\ \tt\hookrightarrow 21+m<8=180\)

\(\\ \tt\hookrightarrow m<8=180-21\)

\(\\ \tt\hookrightarrow m<8=159\)

Now

\(m< 6+ m< 8 = 180\)

\(21+ m < 8 = 180\)

\(m<8 = 180- 21\)

\(m<8 = 159\)

So,

\(m<4\) and \(m < 8\) [corresponding angles]

\(m<4=m<8=159°\)

AnswerЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупые

Step-by-step explanation:

The maximum angle of the incline for the car to be at rest using only friction is 38.7° if, for the car on the incline, the coefficient of static friction is 0.8 and the coefficient of kinetic friction is 0.6.

If the car is at rest on the incline, the force of gravity acting on the car down the incline is balanced by the force of static friction acting up the incline. The maximum angle \($\theta$\) of the incline is the angle at which the force of static friction is at its maximum, which is given by the product of the coefficient of static friction and the normal force.

Let's assume that the mass of the car is m and the incline makes an angle of \($\theta$\) with the horizontal. Then, the force of gravity acting on the car down the incline is given by \($mg\sin(\theta)$\), where g is the acceleration due to gravity. The normal force acting on the car perpendicular to the incline is given by \($mg\cos(\theta)$\).

For the car to be at rest on the incline, the force of static friction acting up the incline must be equal in magnitude to the force of gravity down the incline. Therefore, we have:

\($$\mu_s mg\cos(\theta) = mg\sin(\theta)$$\)

here \($\mu_s$\) is the coefficient of static friction. Simplifying this equation,

we get:

\($$\tan(\theta) \leq \mu_s$$\)

Therefore, the maximum angle \($\theta$\) of the incline is:

\($$\theta \leq \tan^{-1}(\mu_s)$$\)

Substituting the value of \($\mu_s = 0.8$\), we get:

\($$\theta \leq \tan^{-1}(0.8) \approx 38.7^{\circ}$$\)

Therefore, the maximum angle of the incline for the car to be at rest using only friction is approximately 38.7°.

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To solve the system of equations:

x + y + z + w = 6

2x + 3y - w = 1

-3x + 4y + z + 2w = 1

x + 2y - z + w = 4

We can use the method of elimination or substitution. Let's use the elimination method in this case.

Step 1: Multiply equation 1 by 2 and equation 2 by -1 to eliminate the w term.

2(x + y + z + w) = 2(6) => 2x + 2y + 2z + 2w = 12

-1(2x + 3y - w) = -1(1) => -2x - 3y + w = -1

The equations become:

2x + 2y + 2z + 2w = 12

-2x - 3y + w = -1

-3x + 4y + z + 2w = 1

x + 2y - z + w = 4

Step 2: Add equation 1 and equation 2 to eliminate the x term.

(2x + 2y + 2z + 2w) + (-2x - 3y + w) = 12 + (-1)

y + 3z + 3w = 11

The equations become:

y + 3z + 3w = 11

-3x + 4y + z + 2w = 1

x + 2y - z + w = 4

Step 3: Add equation 2 and equation 3 to eliminate the x term.

(-3x + 4y + z + 2w) + (x + 2y - z + w) = 1 + 4

x + 6y + 3w = 5

The equations become:

y + 3z + 3w = 11

x + 6y + 3w = 5

Step 4: Solve the system of equations formed by equations 4 and 5.

From equation 5, we can express x in terms of y and w:

x = 5 - 6y - 3w

Substitute this value of x into equation 4:

(5 - 6y - 3w) + 2y - z + w = 4

-6y - 3z - 2w = -1

The equations become:

y + 3z + 3w = 11

-6y - 3z - 2w = -1

Step 5: Multiply equation 4 by -2 and add it to equation 3 to eliminate the w term.

-2(-6y - 3z - 2w) + (-3x + 4y + z + 2w) = 2 + 1

12y + 6z + 4w - 3x + 4y + z + 2w = 3

Simplify:

16y + 7z + 6w - 3x = 3

The equations become:

y + 3z + 3w = 11

16y + 7z + 6w - 3x = 3

Now, we have a system of two equations with three variables. Further steps are required to find specific solutions.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

6-

Step-by-step explanation:

Answer:

(-5,4) and (5,-8) are our points

as slope formula is \(\frac{y2-y1}{x2-x1}\)

we can say the slope is

-8-4/ 5-(-5)

-12/10

-6/5 is our slope

so for slope intercept form it should be,

\(y=\frac{-6}{5} x-2\)

good luck! <3

The kinetic energy change of the block is 4.05 J

Kinetic energy is energy due to motion of an object

Since two forces, of magnitudes F1 = 95.0 N and F2 = 50.0 N, act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure.

If Initially, the center of the block is at position xi = -3.00 cm. At some later time, the block has moved to the right, and its center is at a new position, xf = 6.00 cm.

To determine the change Kf−Ki in the kinetic energy of the block as it moves from xi = -3.00 cm to xf = 6.00 cm, we use the work-kinetic energy principle.

So, Fd = ΔK where

Given that

So, substituting the values of the variables into the equation, we have that

ΔK = Fd

= ( F₂ + F₁)(x₂ - x₁)

.= [95.0 N + (-50.0 N)](0.06 m - (-0.03 m)

=  [95.0 N - 50.0 N)](0.06 m + 0.03 m)

= 45.0 N × 0.09 m

= 4.05 Nm

= 4.05 J

So, the kinetic energy change is 4.05 J

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Answer:

1. Correct

2. Incorrect

Step-by-step explanation:

( - 1 + 1 ) / - 1

= 0 / - 1

= 0

- 1 / 1 = - 1

Answer:

below

Step-by-step explanation:

1) correct

2) incorrect

Answer:

296

Step-by-step explanation:

There are 5 days where the fee was $37 and 2 days where the fee was $42

so simply multiply the given values by the number of days used.

(37*5)+(42*2)

185+84

296

The surface area of rectangular prism is 48 square units

The surface area of rectangular prism is 2(lw+wh+hl)

From the figure the height is 2 units

width is 2 units

length is 5 units

Plug in these values in formula

Surface area = 2(5×2 + 2×2 + 2×5)

=2(10+4+10)

=2(24)

=48

Hence, the surface area of rectangular prism is 48 square units

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(a) vertex is (-2, -4)
(b) x-intercepts are:`(-2 + 2sqrt(2), 0)` and `(-2 - 2sqrt(2), 0)`
(c)  y-intercept is (0, -4)
(d) the four additional points (-3, -11), (-1, -1), (1, 1), and (2, 8)

Explanation:
To sketch the graph of the given equation `y = x² + 4x - 4`, we need to find the vertex, x-intercept, y-intercept, and four additional points. Step-by-step explanation:

a) Vertex: To find the vertex of the quadratic function, we need to use the formula: `x = -b / 2a`

The given equation is `y = x² + 4x - 4`.

Comparing it with the general form of the quadratic equation: `y = ax² + bx + c`, we get: `a = 1`, `b = 4`, and `c = -4`.

Now, we can find the vertex: `x = -b / 2a = -4 / 2(1) = -2`

To find the corresponding value of y, we substitute x = -2 into the given equation :`y = (-2)² + 4(-2) - 4 = -4`. Therefore, the vertex is (-2, -4).

b) x-intercepts: To find the x-intercepts, we set y = 0 and solve for x:`y = x² + 4x - 4 = 0`Using the quadratic formula:` x = (-b ± sqrt(b² - 4ac)) / 2a`

We get:` x = (-4 ± sqrt(4² - 4(1)(-4))) / 2(1)`

Simplifying: `x = (-4 ± sqrt(32)) / 2 = -2 ± 2sqrt(2)`.

Therefore, the x-intercepts are:`(-2 + 2sqrt(2), 0)` and `(-2 - 2sqrt(2), 0)`

c)  :To find the y-intercept, we set x = 0:`y = 0² + 4(0) - 4 = -4`. Therefore, the y-intercept is (0, -4).

d) Four additional points: We can choose any four values of x and find the corresponding values of y using the given equation. For example, we can use x = -3, -1, 1, and 2.

Then, we get:

y = (-3)² + 4(-3) - 4 = -11

So, one point is (-3, -11).y = (-1)² + 4(-1) - 4 = -1So, another point is (-1, -1).y = (1)² + 4(1) - 4 = 1.

So, another point is (1, 1).y = (2)² + 4(2) - 4 = 8So, the last point is (2, 8).

Therefore, the graph of the function y = x² + 4x - 4, with the vertex (-2, -4), x-intercepts `(-2 + 2sqrt(2), 0)` and `(-2 - 2sqrt(2), 0)`, and y-intercept (0, -4), along with the four additional points (-3, -11), (-1, -1), (1, 1), and (2, 8).

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The substitute for y in the bottom equation to solve the system by the substitution method is y=3x+2, the correct option is D.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Equatio 1; 3x-y=-2

Equation 2; 5x +2y = 15

Now, In equation 1

3x-y+2=0

3x+2=y

y=3x+2

Therefore, the equation to be used for substitution method will be y=3x+2.

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Answer with Step-by-step explanation:

Assuming the two lines are parallel

Angle ABC= Angle BCD [Being alternate interior angles]

Angle BCD=22

Angle BCD+Angle DCE=180 [Angles in a straight line]

22+ Angle DCE=180

Angle DCE=180-22

Angle DCE= 158

Angle DCE= Angle BCF [ Vertically opposite angles]

Angle DCE=158

Angle ECF= Angle BCD [ Vertically opposite angles]

Angle ECF=22

The solution of the integral equation is \($$\boxed{y(x) = -3x^2 + 4}$$.\)

The fundamental theorem of calculus is used to solve the integral equation y(x) = 4 - ∫₀²ˣ - ty(t) dt.

Let's solve this integral equation using the fundamental theorem of calculus.

Therefore, the fundamental theorem of calculus states that a definite integral of a function can be evaluated by using the antiderivative of that function, i.e., integrating the function from a to b.

The theorem connects the concept of differentiation and integration.

Now, let's solve the given integral equation using the fundamental theorem of calculus:

\($$y(x)=4-\int_{0}^{2x}3t-t*y(t)dt$$\)

By using the fundamental theorem of calculus, we can calculate y'(x) as follows:

\($$y'(x)=-3(2x)-\frac{d}{dx}(2x)*y(2x)+\frac{d}{dx}\int_{0}^{2x}y(t)dt$$\)

\($$y'(x)=-6x-2xy(2x)+2xy(2x)$$\)

\($$y'(x)=-6x$$\)

Now, integrate y'(x) to get y(x):

\($$y(x)=\int y'(x)dx$$\)

\($$y(x)=-3x^2+c$$\)

Where c is the constant of integration.

Substitute the value of y(0) = 4 into the above equation:

\($y(0) = 4 = -3(0)^2 + c = c$\)

Therefore,

\($$\boxed{y(x) = -3x^2 + 4}$$\)

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer:

x = \(\sqrt{66}\)

Step-by-step explanation:

This is using the altitude on hypotenuse theorem

(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 6 × (6 + 5) = 6 × 11 = 66 ( take square root of both sides )

x = \(\sqrt{66}\)

Answer:x = ≤∫⇄

Step-by-step explanation:

i think im wrong and other guy is right

Answer:

x = 12/7

Step-by-step explanation:

You put:                         What you should have had is:

13x - 3y = 12                   13x - 3y = 12

- x + 3y = 12                    + x + 3y = 12

Now that we have that, we can do

14x = 24

Than, divide 24 by 14

x = 24/14

which we can simplify by dividing both by 2

x = 12/7

We can't simplify it down anymore, so this is our answer.

In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).

A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).

In the given parallelogram vwxy:

Parallel sides are equal.

So, 2x = 6

x = 6/2 = 3

Opposite pair of angles are also equal.

So,

∠W = ∠Y = 65°

Now,

∠YVX = 61° (alternate interior angle).

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Answer:

130

Step-by-step explanation:

Answer:

use a calculator to find 3x3x7 for step one and for step 2 times 3x3 in a calculator

Step-by-step explanation:

Answer:

\(\frac{8x^6y^2z^3}{y^8z^3}\)

Step-by-step explanation:

Very complicated of you need steps, comment my answer and I will respond.

Answer:

Step-by-step explanation:

huh???????????????

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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