Select 3 of the below equations that represents the line that has a slope -2 and a y-intercept of 5

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

-6,6

Step-by-step explanation:

x^2=36

6*6=36

-6*-6=36

Answer:

Y=1/4x-1

Step-by-step explanation:

The unit tangent vector t(t) is (3, 4t, 2t) / sqrt(9 + 20t^2), and the unit normal vector n(t) is (3, 4, 2t) / sqrt(25 + 4t^2).

The unit tangent vector t(t) of the given vector function r(t) = (3t, 1 + 2t^2, t^2) is obtained by dividing the derivative of r(t) by its magnitude. The derivative of r(t) is (3, 4t, 2t), and the magnitude of this vector is sqrt(9 + 20t^2). Therefore, t(t) = (3, 4t, 2t) / sqrt(9 + 20t^2).

The unit normal vector n(t) can be obtained by dividing the derivative of t(t) by its magnitude. The derivative of t(t) is (3, 4, 2t), and the magnitude of this vector is sqrt(25 + 4t^2). Thus, n(t) = (3, 4, 2t) / sqrt(25 + 4t^2).

These unit vectors t(t) and n(t) represent the direction of motion and the direction of the curve's curvature at each point t, respectively, providing valuable information about the behavior of the vector function r(t).

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Options :

A. g - 0.05

B. g - 0.05g

C. 0.95g

D. 0.058

E. (1 – 0.05)g

Answer:

B. g - 0.05g

C. 0.95g

E. (1 – 0.05)g

Step-by-step explanation:

Given that :

Amount of Rainfall last week = g inches

Percentage change in Rainfall amount this week = 5%

Rainfall amount this week:

Amount of Rainfall lastweek(100% - 5%)

g(1 - 0.05) = g - 0.05g

g(1 - 0.05)

g(0.95) = 0.95g

Thus the expression, Amount of Rainfall lastweek(100% - 5%) could be rewritten or simplified into any of the expressions above and still arrive at the same solution.

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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The present value with interest rate is 14% is $1810.92.

The future value is $4892.

The interest rate is 14% per year.

The time period is 16 years.

To calculate the present value, we can use the following formula:

present value = future value / (1 + interest rate)**number of years

Plugging in the values for the future value, interest rate, and time period, we get:

present value = 4892 / (1 + 0.14)**16 = 1810.92

Therefore, the present value of $4892 if the interest rate is 14% and the number of years is 16 is $1810.92.

In words, the present value is calculated by dividing the future value by the factor that is 1 plus the interest rate raised to the power of the number of years. In this case, the future value is $4892, the interest rate is 14%, and the time period is 16 years. Therefore, the present value is $1810.92.

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Since line BD is the bisector of

That is:

Hence, <ABD = 45°

Answer:

y=-3x+6

Step-by-step explanation:

(y2-y1)/(x2-x1)

(0-6) /  (2-0)

0-6= -6

2-0= 2

-6/2= -3

slope is -3

so now we have y=-3x+b

in the coordinates (0,6) it means if x is 0 then y is 6. so the y-intercept is 6.

Therefore the equation would be y=-3x+6

Distance from M to N = 48.24 km

The car speed = 72 km/h

Time spent by the car = t

Time spent for the meeting = 2 hours

Total time spent since the man left town M till when he returns = 1:55pm - 10:00am  =  3 hrs 55 minutes = 3.92 hours

Distance from M to N = Speed of the car  *  Time spent by car

Distance from M to N = 72  x  t

Distance from M to N = 72 t

The man traveled by bus back to town M from town N

If the distance from N to M is 2 km longer than the distance from M to N, it means the car and the bus passed through different routes

Distance from N to M = (Distance from M to N)  +  2..................(*)

Time taken by the bus = (Total time) - (Time taken by car) - (Time spent for the meeting)

Time taken by the bus = 3.92 - t - 2

Time taken by the bus =  1.92 - t

Distance from N to M = Speed of the bus  x Time taken by the bus

Distance from N to M =  40  x  (1.92 - t)...................(**)

Substitute (*) into (**)

(Distance from M to N)  +  2  =  40  x  (1.92 - t)

72t   +   2   =   40(1.92  -  t)

72t  +  2   =   76.8  -  40t

72t  +  40t   =   76.8  -  2

112t     =   74.8

t   =   74.8/112

t   =  0.67 hours

Distance from M to N = 72t

Distance from M to N = 72(0.67)

Distance from M to N = 48.24 km

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Answer:

if your factoring the answer should be (5x-2) (x+2)

Answer:

(5x−2)(x+2)

Step-by-step explanation:

Given:

To Determine: The percentage markup

The percentage is calculated by the formula below

Substitute the given into the formula

Hence, the percent of mark up is 20%

Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, we need to use the equation y = 1.07x to determine the price of the computer after tax.Let's see how we can derive the above equation.From the given problem, we know that Heather paid $2,022.30 for the computer, which includes the sales tax of 7%.

This means, if we take the price of the computer as 'x' and the sales tax as 7% of 'x' then we can write the equation as follows:y = x + 0.07x ⇒ y = 1.07xHence, the equation that can be used to determine the price of the computer after tax is y = 1.07x.An explanation of more than 100 words for the above problem is as follows:The given problem is to determine the equation that can be used to determine the price of the computer after a 7% sales tax.Heather paid $2,022.30 for the computer, which includes the sales tax of 7%.We know that the sales tax is a percentage of the price of the computer and it is added to the price to get the total cost.

Let's say the price of the computer is 'x' and the sales tax is 7% of 'x', then the total cost after tax is:y = x + 0.07xWe can simplify the above equation as follows:y = 1.07xThis means that if we multiply the price of the computer by 1.07, we get the total cost after tax. For example, if the price of the computer is $1,000 then the sales tax will be $70 (7% of $1,000) and the total cost after tax will be $1,070.

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Answer:

radius, center, chord, diameter

Step-by-step explanation:

a. radius

b. center

c. chord

d. diameter

Answer:

Step-by-step explanation:

\(f(x)=(x-\sqrt5)(x+\sqrt5)(x+7)\\\\f(x)=(x^2+x\sqrt5-x\sqrt5-(\sqrt5)^2)(x+7)\\\\f(x)=(x^2-5)(x+7)\\\\f(x)=x^3+7x^2-5x-35\)

Answer:

Step-by-step explanation:

Given zeros of cubic function:

The cubic function has standard form:

Without multiplying lets find the value of a, b, c and d:

Sum of the roots

Sum of the products of the roots (taken two at a time)

Product of the roots

So the cubic function is:

Correct option is C

Answer:

(0, 17)

Step-by-step explanation:

Answer:

Q5) 7

Q6) 4

PLEASE MARK ME AS BRAINLIEST I REALLY REALLY NEED IT PLEASEEEEEEEEEEEEE <3

Step-by-step explanation:

Answer:

Q5) x = 7

Q6) Amy is 4 years old right now

Step-by-step explanation:

Q5)

3(x+2) = 27

3x+6 = 27

subtract 6 from both sides

3x = 21

divide both sides by 3

x = 7

Q6)

P = Patel's age now

A = Amy's age now

P = A+5

P+1 = 2(A+1)

substitute for P

(A+5)+1 = 2(A+1)

reduce

A+6 = 2A+2

subtract (1)A and 2 from each side

A = 4

check:

P=A+5 = 9

9+1 = 2(4+1)

10 = 10

From the given figure, we can say that it is a relation as 0 is input for both -2 and 1.

What is the Onto function ?

Onto function can be defined as the function in which the range is equals to codomain.

We know that relation  can be defined as the relationship between sets of values and it is denoted by R.

And Function can be defined as the it is a relation where with only one output to each input.

From the given figure,

(0,-2) (0,1) (1,2) (2,1) (3,4) are the ordered pairs and here 0 is input for both -2 and 1
Hence , From the given figure, we can say that it is a relation as 0 is input for both -2 and 1.

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Yes, this is right. theta is angle C.

In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed by two rays in the plane where they are placed. Additionally, when two planes overlap, angles are created. Dihedral angles are what they are called. When two straight lines or rays intersect at a single point, an angle is created. The vertex of an angle is the location where two points converge.

Here, angle is formed at C, A and B, but here B is 90 and the angle sign is given at C.

So, theta is angle C.

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The solution to the implicit

differentiation

of cos(xy) = 8 + sin(y) is dy/dx = -x(cos(xy))/(sin(y) + 8cos(xy)).

To find dy/dx by implicit differentiation, we start by differentiating both sides with respect to x. Using the chain rule, we get -sin(xy)(y + xy') = 0 + cos(y)y'. Solving for y', we get

dy/dx = -x(cos(xy))/(sin(y) + 8cos(xy)).

This is the solution to the problem.

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Answer:

\(\frac{3}{10}x\)

Step-by-step explanation:

Here we use the slope formula:

\(\frac{y2 - y1}{x2 - x1} = slope\)

y2 = 25

y1 = 10

x2 = 90

x1 = 40

Let's plug all of this into the equation:

Therefore, the slope is \(\frac{3}{10}x\)

Hope this helps!!

- Kay

Applying the inscribed angle theorem, m∠CED = 34°.

According to the inscribed angle theorem, measure of inscribed angle DCE = 1/2(measure of intercepted arc ED).

m(ED) = 180 - 112 [semicircle]

m(ED) = 68°

m∠CED = 1/2(68°) [inscribed angle theorem]

m∠CED = 34°

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a) The probability of a defect is  0.0668.

b. The process standard deviation can be reduced to  0.0062.

c. The advantage of reducing process variation is more efficient and reliable production process, as it reduces the need for inspection and rework.

Probability is the measure of the likelihood of an event occurring. It is used in various fields such as finance, engineering, and manufacturing to analyze and predict outcomes.

One company that utilizes probability in its production process is Motorola. In this scenario, Motorola uses the normal distribution, also known as the Gaussian distribution, to determine the probability of defects in their production process.

The normal distribution is a probability distribution that is symmetric and bell-shaped. It is characterized by its mean and standard deviation. The mean represents the center of the distribution, while the standard deviation represents the spread of the distribution.

a. To determine the probability of a defect, we need to find the area under the normal distribution curve to the left or right of ounces. This area represents the probability of a defect occurring. We can use a standard normal distribution table or a calculator to find this area. The probability of a defect to four decimal places is approximately 0.0668.

If the production run is for 100 items, then the expected number of defects would be 0.0668 x 100 = 6.68. Since we cannot have fractional defects, we would round this number to the nearest whole number, which is 7.

b. If the process standard deviation is reduced to, then the probability of a defect will decrease. This is because a smaller standard deviation means the distribution is less spread out, and therefore, fewer items will fall outside the control limits.

To find the new probability of a defect, we would follow the same process as in part a. The probability of a defect to four decimal places is approximately 0.0062.

c. The advantage of reducing process variation is that it results in a larger distance between the mean and the control limits. This means that there is less chance of items falling outside the control limits, which in turn, reduces the probability of defects. This leads to a more efficient and reliable production process, as it reduces the need for inspection and rework. Additionally, it can lead to cost savings and improved customer satisfaction.

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Answer:

7:1

Step-by-step explanation:

There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.

To see why this is the case, note that the game can be thought of as a sequence of independent trials, where each trial is a coin flip. The probability that player A wins in this game is 1/2.

To see why this is the case, note that the game can be thought of as a sequence of independent trials, where each trial is a coin flip.

If player A wins on the first trial (by getting a head), then the game is over and A wins.

If not, then player B gets a turn, and the game continues until someone gets a head.

Since the coin is fair, the probability of getting a head on any given trial is 1/2. Thus, the probability that player A wins on the first trial is 1/2, and the probability that player A wins on the second trial (after player B has had a turn) is (1/2)(1/2) = 1/4. Similarly, the probability that player A wins on the third trial is (1/2)(1/2)*(1/2) = 1/8, and so on.

Overall, the probability that player A wins is the sum of the probabilities that A wins on each trial. Using the formula for the sum of an infinite geometric series, we can see that this sum is 1/2. Thus, the probability that player A wins is 1/2.

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Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

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THE SHOWN EXPRESSION IS SHOWING THE DIFFERENCE BETWEEN THE SQUARE OF x+9 AND 4,SINCE THERE IS A MINUS SIGN INBETWEEN.

OPTION C IS THE ANSWER.

Answer:

Exact form : - 27/40

Decimal form : -0.675

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

I hope this helps you out! :)