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Answer:

10i-27

Step-by-step explanation:

(i-3)+6i-3(8-i)

(i-3)+6i-24+3i

(i-3)+9i-24

10i-3-24

10i-27

Answer:

-27 + 10i

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-15+x+y=

-15+(-3)+6

-15-3+6

-15+3

-12

Answer:

x = 85°, y = 30°

Step-by-step explanation:

40° + x + 55° = 180°

x + 95° = 180°

x = 85°

85° + 65° + y = 180°

150° + y = 180°

y = 30°

\(\\ \sf\longmapsto 3x-9y> 27\)

\(\\ \sf\longmapsto x-3y>9---(1)\)

And

\(\\ \sf\longmapsto y-3\leqslant -4/3(x+7)\)

\(\\ \sf\longmapsto 3y-9\leqslant -4x+28\)

\(\\ \sf\longmapsto 3y+4x\leqslant 37--(2)\)

Graph attached

Answer:

5400000

Step-by-step explanation:

To make it easier.

12 x 45, then add your four zeros on your answer!

Hope this helps!

Yours Truely, TheAnimeCatUwU

Answer:

73*-2 =-146 you have to multiply the 73 to the -2

Step-by-step explanation:

Given:

The graph of a function \(y=h(x)\).

To find:

The interval where \(h(x)>0\).

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, \(h(x)>0\) for \(x<0\) and \(x>3.6\).

The function between x=0 and x=3.6 lies below the x-axis. So, \(h(x)<0\) for \(0<x<3.6\).

Now,

For \(-1<x<0\), the graph of h(x) is above the x-axis. So, \(h(x)>0\).

For \(0<x<1\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

For \(1<x<2\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

Only for the interval \(-1<x<0\), we get \(h(x)>0\).

Therefore, the correct option is A.

ANSWER:

The value of x 4

STEP-BY-STEP EXPLANATION:

We have the following equation

Solving for x:

Answer:

3.5

Step-by-step explanation:

Answer:

the answer is 0.2857142857.

Hope that helps

Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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Answer:

2.407407 miles per minute

Step-by-step explanation:

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

Answer:

41,93 $

Step-by-step explanation:

5,55 +2 ×3,07 +3 ×10,08 =

5,55 +6,14 +30,24 =

41,93 $

Answer:

  see below

Step-by-step explanation:

The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.

The line for x > 2 is the horizontal line x=2.

The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.

Answer:

the person above is correct

Step-by-step explanation:

:p

Answer:

2.5, -1.25, 0.625

Step-by-step explanation:

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.

b) The total amount Lorna must pay on February 27 is $2,037.38.

The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.

Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.

The product of the above multiplication and division operations is the penalty.

Outstanding real estate tax = $2,010.88

Due date for the tax = December 14, 2017

Payment date for the tax = February 27, 2018

Number of days, tax outstanding = 74 days

Penalty rate for late payment = 6.5%

Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)

Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)

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A 98% confidence interval to estimate the proportion of all such items that are defective is A . ( 0.012 , 0.058 ) .

Given :

Of 346 items tested, 12 are found to be defective. Construct a 98% confidence interval to estimate the proportion of all such items that are defective.

Middle = 0.02 / 2

= 0.01

At 98 % z score ;

z = -2.33

z* = 2.33

CI = p ± z \(\sqrt{p ( 1 - p) / n}\)

= 12 / 346 + 2.33 * \(\sqrt{12/346 * 334/346 / 346}\)

= 0.347 ± 0.229

= 0.347 - 0.229 to 0.347 + 0.229

= 0.118 to 0.576

≈ 0.012 to 0.058

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

Line A:  constant of proportionality is 4/3

Step-by-step explanation:

The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line.  The only line here that has a slope greater than 1 is the blue line (A).

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.

The hourly rate at Angus' Saturday job = $8.80

The hourly rate at Angus' after-school job = $7.50

The total earnings last week = $127.80

Let the hours Angus worked at Saturday job = x

Let the hours Angus worked after-school = 4 + x

The total hours worked = x + x + 4

2x + 4

The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)

127.80 = 8.8x + 7.5x + 30

127.8 - 30 = 16.3x

x = 6 hours

x + 4 = 10 hours

2x + 4 = 16 (12 + 4)

Check:

Earnings at Saturday job = $52.80 ($8.80 x 6)

Earnings at after-school job = $75.00 ($7.50 x 10)

Total earnings = $127.80

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Answer:

3

Step-by-step explanation:

\(1 + 2 = 3\)

answer= 3

The boxplot required to answer the question has been attached below

Answer:

E

Step-by-step explanation:

The maximum value on a box plot can be obtained by taking the value at the end of the whisker positioned to the right of the box in the boxplot. From the boxplotvgiven above, the maximum value provided by the endpoint of the right hand side whisker is 48. The 48 point mark is labeled as E in the plot.

Hence, the letter depicting the maximum value position on the box plot is the letter E

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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The volume of each container is: 25,133 \(cm^{3}\)

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = \(\frac{1}{2}\) of \(20 = 10 cm\)

Recall:

Volume of a cylinder = \(\pi r^{2} h\)

Substitute the values into the formula:

\(Volume = \pi \times 10^{2} \times 80 = 25132.74123\)

Therefore, volume of each cylinder is approximately 25,133 \(cm^{3}\)

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