Simplify (2-7i)+(3+9i) step by step

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

In a cubic spline basis with 3 knots at values x1, x2, and x3, the spline basis functions are piecewise cubic polynomial functions that ensure smoothness and continuity at the knots. Specifically, there will be 4 cubic basis functions, denoted as B1(x), B2(x), B3(x), and B4(x).

These functions are defined over the intervals (x0, x1), (x1, x2), (x2, x3), and (x3, x4), where x0 and x4 are the endpoints of the domain. The basis functions satisfy the following conditions:

1. Continuity: Each basis function is continuous across the entire domain.
2. Smoothness: The first and second derivatives of each basis function are continuous at the knots (x1, x2, and x3).

By using these spline basis functions, we can represent any cubic spline in terms of a linear combination of these basis functions:

S(x) = c1*B1(x) + c2*B2(x) + c3*B3(x) + c4*B4(x)

Here, c1, c2, c3, and c4 are the coefficients that need to be determined based on the given data points or constraints.

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The mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

To find the mean score for all ninth graders in the city, we need more information than just three scores. Without additional data, we cannot accurately determine the mean score for all ninth graders in the city.

However, we can calculate the mean of the given scores to verify that it is not 79.7 as claimed by the PR manager:

Mean = (77 + 91 + 71) / 3 = 79.7/3 = 79.7 ÷ 3 ≈ 79.7/3 ≈ 26.6

So the mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

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Answer:

D. A 270-degree rotation about point P

Step-by-step explanation:

I hope this helps!!!

Answer:

See explanation.

Step-by-step explanation:

\(5y-6py\)

Common factor: y

\(y(5-6p)\)

Estimate the number of ping pong balls (of radius 2 cm) that would fit into a typicalsized room . 116,452 ping pong balls of radius 2 cm would fit into a typical-sized room (13 ft) × (13 ft) × (8 ft) without being crushed.

A typical room of dimensions (13 ft) × (13 ft) × (8 ft) would have a volume of 1352 cubic feet. Let's convert this volume from feet to cm.1 foot = 30.48 cm

Then, 1 cubic foot = (30.48 cm)³ = 28316.8 cubic cm.So, the volume of the room in cubic cm would be: Volume of room = (13 ft) × (13 ft) × (8 ft) × (30.48 cm/ft)³ = 3904365.44 cubic cm

Now, we need to find out how many ping pong balls with a radius of 2 cm we can fit into this volume. Let's calculate the volume of one ping pong ball using the formula for the volume of a sphere:

Volume of one ping pong ball = 4/3 × π × (2 cm)³ = 33.51 cubic cm

To find out how many ping pong balls we can fit into the room, we need to divide the volume of the room by the volume of one ping pong ball:

Number of ping pong balls = Volume of room / Volume of one ping pong ball = 3904365.44 cubic cm / 33.51 cubic cm ≈ 116,452.

So, approximately 116,452 ping pong balls of radius 2 cm would fit into a typical-sized room (13 ft) × (13 ft) × (8 ft) without being crushed.

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the bottles were sold equal x / 45

Answer:

2

Step-by-step explanation:

Answer:

B = 2

Step-by-step explanation:

b+-2=0

b=2

The images of points A(x, y) = (- 2, 8), B(x, y) = (2, 4) and C(x, y) = (- 2, 6) are A'(x, y) = (4, - 1), B'(x, y) = (2, 0.5) and C'(x, y) = (4, 0), respectively.

In this problem we find three points: A(x, y) = (- 2, 8), B(x, y) = (2, 4) and C(x, y) = (- 2, 6), whose images must be determined by means of rigid transformations, that is, transformations that modify a points without any alteration on Euclidean distances.

The transformation rule of this question is a combination of reflection about x-axis, dilation, horizontal and vertical translations, all of them rigid transformations. Now we determine the image of each point:

Point A

A'(x, y) = (- 0.5 · (- 2) + 3, - 0.5 · 8 + 3)

A'(x, y) = (1 + 3, - 4 + 3)

A'(x, y) = (4, - 1)

Point B

B'(x, y) = (- 0.5 · 2 + 3, - 0.5 · 5 + 3)

B'(x, y) = (- 1 + 3, - 2.5 + 3)

B'(x, y) = (2, 0.5)

Point C

C'(x, y) = (- 0.5 · (- 2) + 3, - 0.5 · 6 + 3)

C'(x, y) = (1 + 3, - 3 + 3)

C'(x, y) = (4, 0)

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Answer:

20

Step-by-step explanation:

2/3(30)

=20

Answer:

2/3 is the answer..

Step-by-step explanation:

becaue 2 holes then 2/3s is not filled trust me!!! plz give brainliest and a thanks!!!!

The simplified form of the given expression is -48√2i. The solution has been obtained by simplifying the algebraic expression.

What is algebraic expression?

Any expression that makes use of variables, constants, and algebraic operations is referred to as algebraic (addition, subtraction, etc.).

The following are the four main types of expressions:

We are given an expression as 12√-8 - 12√-72.

Here,

⇒12√-8 = 12 * 2√2i

⇒12√-8 = 24√2i

Similarly,

⇒12√-72 = 12 * 6√2i

⇒12√-72 = 72√2i

Now, on subtracting both, we get

⇒12√-8 - 12√-72 = 24√2i - 72√2i

⇒12√-8 - 12√-72 = -48√2i

Hence, the simplified form of the given expression is -48√2i.

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Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

I substituted x' value as square numbers so we don't get irrational or decimal number as y's value.

Now,

plot (9,3) , (4,2), (36,6), (25,5) and (49,7) in the graph and join them.

Tony's coins in ascending order of value will be 5p, 10p, and 15p.

Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.

In this case, 5p + 10p + 15p = 30p

10p + 15p + 15p = 40p

5p + 5p + 10p + 15p + 15p = 50p

Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.

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Answer:

5p, 5p, 10p, 10p, 20p

Step-by-step explanation:

5p, 5p, 10p, 10p, 20p,

Answer:

Step-by-step explanation:

1. Ice Cubes

2. Dice

3. Sugar Cubes

5. Old Iron Lockers

6. Gift Box

7. Cube Building Blocks

Answer:

2/3

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points, then simplify:

(y2 - y1) / (x2 - x1)

(-1 + 7) / (4 + 5)

6/9

= 2/3

So, the slope of the line is 2/3

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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Answer:

y = -4x - 3

Step-by-step explanation:

The slope intercept form is as follows:

y = mx + b

m = slope

b = Y-intercept

We already have the y-intercept...it is -3. This is because the y-intercept is wherever x is equal to zero. In the second pair (0,-3) we see that the x is zero so this has to be the y-intercept.

To find the slope we can use the slope equation:

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

Let's define the variables:

y2 = -3

y1 = 5

x2 = 0

x1 = -2

Plug them into the equation

\(slope = \frac{-3-5}{0-(-2)} = \frac{-8}{2} = -4\)

The slope is -4

Now that we have the slope and y-intercept we can write the equation in slope intercept form:

y = -4x - 3

Hope this helps!!

- Kay :)

Answer:

I think it is 3/3

Step-by-step explanation:

2(x+4)

hope this helps!!!

The unshaded area is 11.5 times bigger than the shaded area.

The area of the circle is given by:

A_circle = πr^2

where;

n this case, r = 10 cm, so:

A_circle = π(10 cm)^2 = 100π cm^2

The area of the semicircle is given by:

A_semicircle = (1/2)πr^2

where;

In this case, the diameter of the semicircle is 8 cm, so the radius is 4 cm:

A_semicircle = (1/2)π(4 cm)^2 = 8π cm^2

To find the area of the shaded region, we need to subtract the area of the semicircle from the area of the circle:

A_shaded = A_circle - A_semicircle

= 100π cm^2 - 8π cm^2

= 92π cm^2

The unshaded area is the area of the circle minus the area of the shaded region:

A_unshaded = A_circle - A_shaded

= 100π cm^2 - 92π cm^2

= 8π cm^2

So the unshaded area is 8π cm^2 and the shaded area is 92π cm^2.

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A double-blind experiment is possible when neither the patients nor the researchers know which treatment (a or b) the patient is receiving. a double-blind experiment is not possible in this case because the two treatments are seen in different ways and are thus easily tell apart.

Patients receiving treatment a would be aware that they are taking a pill, while those receiving treatment b would be aware that they are getting an injection. Similarly, the researchers looking at the treatments would be aware of which treatment they are administering to each patient.

As a result, a double-blind experiment is not possible in this situation. A double-blind experiment is one where neither the patients nor the researchers know which treatment is being given to which patient. This is done to eliminate the possibility of bias in the results.

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Answer:

∠A = 6x + 4

Step-by-step explanation:

Hello There!

We are given the exterior angle ∠ACD and an interior angle ∠B

If you didn't know this is the rule for exterior angles of a triangle:

An exterior angle is equal to the sum of its opposite interior angles

so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)

So with the information that we are given we plug them into their corresponding angle

then we would have

8x+5 = ∠A + 2x + 1

now we solve for A

Well how do we solve for A?

Well we have to isolate the variable

To do so we want to get rid of 2x + 1

We do that by subtract each side by 2x and 1

8x + 5 - (2x + 1 ) = 6x + 4

we're left with

∠A = 6x + 4

When n is large the distribution of the sample means will approach a normal distribution.

The central limit theorem (CLT) is a statistical theory that predicts that given a large enough sample size from a population with a certain level of variation, the mean of all the samples from that population will be close to the population mean.

To put it another way, the central limit theorem predicts with absolute certainty the form of the distribution of means when we take repeated samples from a certain population. In particular, the distribution of means derived from repeated sampling will tend toward normality as sample sizes increase.

In other words, when n is large, the distribution of the sample means will resemble a normal distribution if we continually pick independent, random samples of size n from any population.

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Answer:

paper is too blurry

Step-by-step explanation:

i actually dont know but thnks for the points BTW