Is that the correct order?

Answer:

B

Step-by-step explanation:

Perpendicular to y=5x+3, slope should be -1/5.

y+1=-1/5(x-2)

B is correct

An integral expression, in terms of sine and cosine, that gives the distance the particle travels from t = 1.5 to t = 2.75 is  1.5→2.75 √{(-2sin(πt))²+(4cos(πt))²} dt.

We have been given two functions representing the displacement of the particle,

x(t)=2cos(πt)

y(t)=4sin(πt)

To find the velocity vector with the help of these functions, we have to differentiate them with respect to time

i.e,

dx(t)/dt=d{2cos(πt)}/dt=-2sin(πt)

dy(t)/dt=d{4sin(πt)}/dt=4cos(πt)

and finally, the velocity vector would be written as,

v(t)=-2sin(πt) i +4cos(πt) j

Now to get the distance for the given limits we have to integrate the magnitude of the given velocity

i.e, integrate 1.5→2.75 √{(-2sin(πt))²+(4cos(πt))²} dt

which would approximately result in a value of 3.69 units in length.

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The profit for Mr Christopher is #1000.

Profit is the money that is earned in trade or business after paying the costs of producing and selling goods and services.

Given that, Mr. Christopher contributed #500 to a business, Miss Uche contributed #300 while Mrs. Amaka contributed #200, they share a profit #2000,

Let the ratio of their contribution = 5x : 3x : 2x

Therefore,

5x + 3x + 2x = 2000

10x = 2000

x = 200

Their profit share =

Mr. Christopher = 200 x 5 = 1000,

Miss Uche = 200 x 2 = 200

and

Mrs. Amaka = 200 x 3 = 600

Hence, the profit share of Mr. Christopher is #1000,

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Answer:

108 cm²

Step-by-step explanation:

the surface area is the sum of all individual shapes areas on the surface.

2 right-angled triangles

3 rectangles

area of a right-angled triangle is At = a×b/2

At = 4×3/2 = 6 cm²

we need it twice : 12 cm²

one rectangle (length×width) = 8×3 = 24 cm²

one rectangle = 8×4 = 32 in²

one rectangle = 8×5 = 40 cm²

total surface area

A = 12+24+32+40 = 108 cm²

an area is always a square unit (power of 2).

a volume is always a cubic unit (power of 3).

and a length is always a simple unit (power of 1).

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

The area of the triangle on left is 9

in², the area of the triangle on the right is 9

in², and the area of the rectangle is 108

in².

The area of the trapezoid is the sum of these areas, which is 126

in².

Answer:

30

Step-by-step explanation:3 flavors and 5 toppings multiplied is 15, and whip or no whip is a extra 2 choices so 15x2=30

Answer:

let's say you have 3 flavors

- chocolate

- vanilla

- strawberry

lets say you have 5 toppings

- nuts

- carmel

- chocolate chips

- strawberries

- sprinkles

now you have the choice of having whip cream or no whip cream.

so what you do is start with the flavor vholctae go to the topping nuts then whip cream. now do the same thing but with no whip cream.

do the same with each flavor and at the end you have 20 combinations.

Answer:

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.11

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

umm i think itz 16

Step-by-step explanation:

fycfyuyvt6vb

Answer:

X would be 16 since

x= 8

------

cos(8)

using a Linear Regression Calculator

we have

y = -1.17143X + 20.10476

Round to two decimal places

y = -1.17X + 20.10

therefore

Answer:

The sim is 4

Step-by-step explanation:

6 - 2 = 4, therefore the -2 and 6 are the same if fliped.

Answer:

0.34

Step-by-step explanation:

0.34 + 0.34= 0.68

0.68 + 0.68= 1.36

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

Step-by-step explanation:

exactly.

maybe this helps even more : always identify what is supposed to be 100% and what would be 1% then (1/100 of 100%). and then you check how often 1% fits into the amount in question.

100% = 25000

1% = 100%/100 = 25000/100 = 250

the price decrease is 25000 - 20000 = 5000.

so, the percentage is

difference /1% = 5000/250 = 20%

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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The mean of the given data set is 0.528, the median of the given data set is 0.535 and the mode of the given data set is 0.43.

The given data set is:

0.29, 0.45, 0.69, 0.53, 0.60, 0.37, 0.59, 0.43, 0.61, 0.30, 0.54, 0.43, 0.70, 0.40, 0.76, 0.38, 0.72, 0.43, 0.60, 0.73.

Arranging the given data set in ascending order:

0.29, 0.30, 0.37, 0.38, 0.40, 0.43, 0.43, 0.43, 0.45, 0.53, 0.54, 0.59, 0.60, 0.60, 0.61, 0.69, 0.70, 0.72, 0.73, 0.76.

The mean of the data is given by;

Mean = (Sum of the numbers)/(total numbers)

=(0.29 + 0.30 + 0.37 + 0.38 + 0.40 + 0.43 + 0.43 + 0.43 + 0.45 + 0.53 + 0.54 + 0.59 + 0.60 + 0.60 + 0.61 + 0.69 + 0.70 + 0.72 + 0.73 + 0.76) / 20

= 10.55 / 20

= 0.5275 ≈ 0.528

Median = (0.53 + 0.54) / 2

             = 0.535

Mode = 0.43 (0.43 repeated most time)

Thus, the mean of the given data set is 0.528, the median of the given data set is 0.535 and the mode of the given data set is 0.43.

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Given:

The objective is to identify ∡2 and ∡7​ as alternate interior, alternate exterior, corresponding or vertical angle.

From the given figure, l1 and l2 are two parallel lines. The required angles ∡2 and ∡7 are placed outside the parallel lines and present in alternate sides of the transversal line.

Hence, the angles ∡2 and ∡7 are alternate exterior angles.

Answer:

12 girls

Step-by-step explanation:

30*(2/5)=12

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

Options 2 and 3 are correct

Step-by-step explanation:

Let's graph the parent function and the new function

The parent function is in red

The new function is in blue

Let's go through the options given

-Chetan K