what is the value of (-3+3i)+(-2+3i)?

-5-6i
-5+6i
5+6i
5-6i

Answer:

30

Step-by-step explanation:

to find 10%, find 100% first

because we know what 25% is, the easiest way we can work this out is multiply 25% by 4

so:

\( 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300\)

this means that 100% is 300.

now to find 10% all we have to do is divide the number by 10.

\(300 \div 10 = 30\)

so 10% is 30

to check we're right, we make sure that 25% and 10% = 35%

75 + 30 = 105, meaning our percentages are correct

Mode

2 x 5 = 10

6 x 5 = 30

5 x 5 = 25

3 x 5 = 15

7 x 5 = 35

8 x 5 = 40

9 x 5 = 45

2 x 5 = 10

4 x 5 = 20

7 x 5 = 35

4 x 5 = 20

7 x 5 = 35

The mode is 35 because it is repeated 3 times.

Answer:

Equation of the line (slope-intercept form):  y = 2/3x + 4

Step-by-step explanation:

We can find the equation in slope-intercept form, whose general form is

y = mx + b, where

y-intercept, b:  We see on the graph that the line intersects the y-axis at the point (0, 4).  Thus, the y-intercept (b in the slope-intercept equation) is 4.

Slope, m:  We can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where

We see from the line intersects the x-axis at (-6, 0).  Thus, we can allow (-6, 0) to be our (x1, y1) point and (0, 4) to be our (x2, y2) point:

m = (4 - 0) / (0 - (-6))

m = (4) / (0 + 6)

m = 4 / 6

m = 2/3

Since the slope of the line is 2/3 and the y-intercept is 4, the equation of the line is y = 2/3x + 4

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

Answer:

It's B!

Step-by-step explanation:

According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.

This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.

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The least number of hours from now when the clock will again show the correct time is 720 minutes

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

The clock will show the correct time again when it lost 12 hours

As every hour it loses 1 minute,  the clock have to lose 12 hours in minutes, so we get:

12 hour * (60 minutes / 1 hour) = 720 minutes

Therefore, the least number of hours from now when the clock will again show the correct time is 720 minutes.

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Answer:

The Value of the function is 3

Step-by-step explanation:

The point would be (-2,3)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

The required value is the value of y corresponding to the value of x, that satisfy the given function.

And, here we can clearly observe from the graph that :

When, x = -2, vaue of y = 3, and these two lines intersects at the given function, hence satisfying the function ~

Therefore, the required value is :

\(\qquad \sf  \dashrightarrow \: 3\)

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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Answer:

Step-by-step explanation:

radius=diameter/2

=36/2

=18 inches

circumference=2πr

=2*3.14*18

=113.04 inches

Answer:

y= | x |

Step-by-step explanation:

What is the parent function of the graph?

----------

The parent function is:

a. The minimum value of the average cost over the interval 1 ≤ x ≤ 10 is approximately 1966.7 (rounded to the nearest tenth).

b. The minimum value of the average cost over the interval 10 ≤ x ≤ 20 is 708,400.

a. 1 ≤ x ≤ 10For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 1 ≤ x ≤ 10.

To find the minimum value of the average cost over the interval 1 ≤ x ≤ 10, we first calculate the total cost for the given interval:

Total cost = C(1) + C(2) + ... + C(10) = (1³ + 32(1) + 250) + (2³ + 32(2) + 250) + ... + (10³ + 32(10) + 250) = 17,700

Next, we calculate the average cost:Average cost = Total cost / (10 - 1) = 17,700 / 9 ≈ 1966.67

b. 10 ≤ x ≤ 20For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 10 ≤ x ≤ 20.

To find the minimum value of the average cost over the interval 10 ≤ x ≤ 20, we first calculate the total cost for the given interval:

Total cost = C(10) + C(11) + ... + C(20) = (10³ + 32(10) + 250) + (11³ + 32(11) + 250) + ... + (20³ + 32(20) + 250) = 7,084,000

Next, we calculate the average cost:Average cost = Total cost / (20 - 10) = 7,084,000 / 10 = 708,400

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Answer:

-36

Step-by-step explanation:

13+k/3=1

k/3=-12

3(k/3)=(-12)3

k=-36

No, the boy did not use the same amount of power the second time.

Power is defined as the rate at which work is done, and it is calculated as the amount of work done divided by the time taken.

In this scenario, the work done is the same because the boy mows the same distance (assuming the lawn remained the same size). However, the time taken to complete the task is different.

First time: Time = 1.0 hour

Second time: Time = 0.5 hour

Since power is directly proportional to work and inversely proportional to time, we can conclude that the power output was higher the second time. This is because the same amount of work was accomplished in half the time. The boy was able to mow the lawn more quickly, indicating a greater power output during the second attempt.

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Answer:

Sushil got 15 sweets

Step-by-step explanation:

we can use law of indices property as shown below

a:b:c = ax:bx:cx

that if we multiply each term of ratio by same number , the ratio does not change

____________________________

given

Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.

let

Malachy gets 1x sweets

sushil gets 3x sweets

Fiona gets 1x sweets

but given that

Malachy got 5 sweets

thus

1x = 5

x = 5

Sushil got 3x sweets = 3*5 = 15 sweets.

Sushil got 15 sweets.

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

Given that

x + 2x + 5 = 62

where,

x = Jenny’s age

Now the following cases occured

a.  

x = 12

Now put the x value to the above equation

12 + 2(12) + 5 = 62

12 + 24 + 5 = 62

41 = 62

It is not equaled so the Jenny age is not 12

b.

x = 15

Now put the x value to the above equation

12 + 2(15) + 5 = 62

15 + 30 + 5 = 62

50 = 62

It is not equaled so the Jenny age is not 15

c.  

x = 18

Now put the x value to the above equation

18 + 2(18) + 5 = 62

18 + 36 + 5 = 62

59 = 62

It is not equaled so the Jenny age is not 12

d.

x = 19

Now put the x value to the above equation

19 + 2(19) + 5 = 62

19 + 38 + 5 = 62

62 = 62

It is equaled so the Jenny age is 19

Now the mother age is

as we know that

x + y = 62

19 + y = 62

y = 62 - 19

= 43

Also it proved that if we doubles the jenny age i.e 38 and then add 5 so the total is 43 i.e. equivalent to her mother age

Answer:

4000 rs

Step-by-step explanation:

we know the formula to find cp ,

cp = [100/(100+p%)]*sp

so,    

cp = [100/(100+10)]*44000

=>  [100/110]*44000

=>  [10/11]*44000

=>  440000/11

=>  40000

so, the cost price is 40,000

for the money she spent on extra fittings,

 40000-36000

= 4000

she spent 4000rs on extra fittings              

Answer:

it is not 130.its 50

Step-by-step explanation:

50 is basically connected to the other part hope this helps the brainliest

Answer:

$750

Step-by-step explanation:

2500 divided by 100 = 25 and 25 x 30 = 750

Sorry if im wrong

The price for 2500 pencils is $750.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

A box of 100 personalized pencils costs $30.

So, cost of 1 pencil = $30 / 100 = 3/10

Now, the price to buy the 2500 pencils

= 2500 x 3/10

= 250 x 3

= $750

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a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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The triangle DEF's section EF measures 24 units in length.

As per the data given in the above question are as bellow,

The provided details are as follow,

Procedure: Calculating the length that results from distorting a triangle by a scale factor

The triangle mentioned in the previous sentence is summarised in the diagram below. Using a trigonometric relationship, we discover that the following formula best describes the length of the section EF:

\($\sin a^{\circ}=\frac{E F}{D E}$\)

If we know that DE=30 and \($\sin a^{\circ}=\frac{4}{5}$\), then the length of the segment EF is:

\(E F=D E \cdot \sin a^{\circ} \\& E F=30 \cdot\left(\frac{4}{5}\right) \\\)

EF=24

Sine (sin), cosine (cos), and tangent (tan), which are defined in terms of the ratios of the sides of a right triangle, are the fundamental trigonometric functions.

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Note: The correct question would be as bellow,

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

Answer:

a) Team C - lowest average/mean

b) Team A - greatest variability/range

Step-by-step explanation:

Hope this helps!

(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x

The probability mass function p(x) can be derived from the cdf by taking differences:

p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06  x = 10.1  x = 20.17 x = 30.36  x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)

The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.

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The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

\(V = \pi r^{2}h\)               *Plug in numbers*

\((3.14)(2.5)^{2}(7)\)         *Square 2.5*

\((3.14)(6.25)(7)\)        *Solve*

≈ \(137.375in^{3}\)

Sphere:

\(V = \frac{4}{3}\pi r^{3}\)              *Plug in numbers*

\(\frac{4}{3} (3.14)(2.5)^{3}\)         *Cube 2.5*

\(\frac{\frac{4}{3}(3.14)(15.625)}{2}\)         *Divide by 2 and Solve*

≈ \(32.7083 in^{3}\)

Add both volumes

\(137.375 + 32.7083\) ≈ \(170.083in^{3}\)

2.

Cylinder:

\(V = \pi r^{2}h\)         *Plug in numbers*

\(\pi (3)^{2}(10)\)            *Square 3*

\(\pi (9)(10)\)             *Multiply*

\(90\pi\)

Sphere:

\(V = \frac{4}{3}\) π \(r^{3}\)            *Plug in numbers*

\(\frac{4}{3}\pi (3)^{3}\)                   *Cube 3*

\(\frac{4}{3} \pi (27)\)                   *Multiply*

\(36\pi\)

Add both Volumes to get total

\(90\pi + 36\pi = 126in^{3}\)

3.

Sphere:

\(V = \frac{4}{3}\pi r^{3}\)              *Plug in numbers*

\(\frac{4}{3} (3.14)(3)^{3}\)            *Cube 3*

\(\frac{4}{3} (3.14)(27)\)            *Multiply*

\(113.04m^{3}\)

Cone:

\(V = \frac{\pi r^{2}h}{3}\)             *Plug in numbers*

\(\frac{(3.14)(2)^{2}(5)}{3}\)           *Square 2*

\(\frac{(3.14)(4)(5)}{3}\)             *Solve*

\(20.93m^{3}\)

Subtract the volumes to get the volume of the blue area

\(113.04 - 20.93 = 92.106m^{3}\)

4.

Sphere:

\(V = \frac{4}{3} \pi r^{3}\)            *Plug in numbers*

\(\frac{4}{3}\pi (8)^{3}\)                 *Cube 8*

\(\\\frac{4}{3}\pi (512)\)               *Multiply*

\(\\\\\pi (682.6)\)              *Solve*

\(2133.66in^{3}\)           *Divide by 2 since it's a hemisphere*

Cone:

\(V = \frac{\pi r^{2}h}{3}\)            *Plug in numbers*

\(\frac{\pi (8)^{2}(20)}{3}\)              *Square 8*

\(\frac{\pi (64)(20)}{3}\)              *Multiply and Divide*

\(1340.41 in^{3}\)

Add both volumes

\(1072.33 + 1340.41 = 2412.74in^{3}\)

5.

Cylinder:

\(V = \pi r^{2}h\)            *Plug in numbers*

\(\pi (6)^{2}(16)\)              *Square 6*

\(\pi (36)(16)\)             *Multiply*

\(576\pi\)

Cone:

\(V = \frac{\pi r^{2}h}{3}\)            *Plug in numbers*

\(\frac{\pi (6)^{2}3}{3}\)                  *Square 6*

\(36\pi\)

Add both volumes

\(576\pi + 36\pi = 612\pi m^{3}\)

Alternative: *Multiply π*

\(1922m^{3}\)

Answer:

1) 175 \(in^2\)

2) 1st option

3) 92 \(m^2\)

4) 2412 \(in^3\\\)

5) 2nd option

Step-by-step explanation:

\(1)\ A = D * Pi = 5 * 3.14 = 15.7\\\)

\(2)\ V_{1} = 15.7 * 7 = 109.9\)

\(3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)\)

\(4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3\) which is close to 175

\(1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\\)

\(2)\ V_1 = A * h = 28.26 * 10 = 282.6\)

\(3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04\)

\(4)\ V_1 + V_2 = 282.6 + 113 = 395.6\) which is very close to 396

\(5)\ 396 = 126 * pi\)

\(1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)\) =

\(2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\\)

\(3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14\) which is very close to 92

\(1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\\)

\(2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733\)

\(3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412\)

\(1)\ A = Pi * R^2 = 36*Pi\\\)

\(2)\ V_1 = 36*Pi * 16 = 576 * Pi\\\)

\(3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi\)

\(4) V_1 + V_2 = 576Pi + 36Pi = 612Pi\)