Last week Jordan had 12 marbles . This week he has 21 marbles what is the percentage of increase in the number of marbles Jordan has

Answers

Answer 1

Answer:

75%

Step-by-step explanation:

The number increase is 9. 9 is what percent of 12? 9 is 75% of 12


Related Questions

Need stats help! Answer all questions with equations

Answers

The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned. But if the t test for the means is used there might be slight variation in the values.

The other formula was of descriptive statistics.

The data was

No of feedback (sec) Feedback (sec) Difference

45 54 9

33 50 17

59 58 -1

32 38 6

30 42 12

27 35 8

29 38 9

59 66 7

64 65 1

38 55 17

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

The difference t test gives

Count=N   9                  9

Mean       41.2             49.67

Mean Difference  8.4

Standard Deviation  14.967       11.97

Variance        223.944  143.25

Standard Error 2.0824

t       = -1.322

df = 16

t Critical two-tail 2.119905285

Confidence Level(95.0%) 4.802039614

Lower CI (95.0%) =  3.6

Upper CI(95.0%)=  13.2

t stat for 0.01=  4.561578674

t Critical two-tail 3.249835541

Confidence Level(99.0%) 6.055710988

Lower CI (99.0%) =  2.345

Upper CI(99.0%)=  14.457

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

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40.Find the difference
41&42. Find the product

Answers

Answer:

40. 398nine

41: 432six

42: 14714eight

Step-by-step explanation:

765-367=398

The 'nine' is probably confusing you

3x144=432

The 'six' is there to confuse you.

2x7357=14714

The 'eight' is again here to confuse you.

Ignore the 'six' and 'eight' and 'nine' they are making it harder for no reason

Maritza desea ir de viaje con su familia, que está conformada por ella, su esposo y sus 3 hijos. Ella comprará pasajes cuyo costo es de S/75 por persona (sólo ida), también desea comprar un paquete turístico para cuatro personas cuyo valor es de S/800, además contrató 3 habitaciones por el precio de S/60 cada una. También se proyectó gastar en alimentación 150 diarios y una bolsa de viaje de S/130 por persona. Si su viaje es de 5 días y 4 noches y actualmente ella cuenta con S/1000 y su esposo con S/1800, ¿Cuánto dinero les falta para cubrir todos los gastos de su viaje?

Answers

El dinero que le falta a Maritza y su esposo para viajar es 330.

¿Cuánto dinero les falta?

Para calcular el dinero que les falta debemos identificar la cifra total que les va a costar el viaje:

75 x 10 = 75080060 x 3 = 180 150 x 5 = 750130 x 5 = 650

750 + 800 + 180 + 750 + 650 = 3,130

El valor total del viaje es s/3,130, entonces les faltarían s/330.

3,130 - 2,800 = 330

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Find the arc length of the partial circle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

The arc length of the partial circle is 7.5π

Calculating arc length

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

[tex]l = \frac{\theta}{360^\circ} \times 2\pi r[/tex]

Where [tex]l[/tex] is the length of the arc

[tex]\theta[/tex] is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

[tex]l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5[/tex]

[tex]l = \frac{3}{4} \times 2\pi \times 5[/tex]

[tex]l = \frac{30\pi}{4}[/tex]

[tex]l = \frac{15}{2}\pi[/tex] OR 7.5π

Hence, the arc length of the partial circle is 7.5π

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What numbers are the arrows pointing to?
a)
b)
c)
60

2.5
70
3.5

Answers

Using proportions, the numbers that the arrows are pointing to are:

a) 62.

b) 8.8.

c) 2.8.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In item a, the arrow is 2/10 of the way from 60 to 70, hence the number is:

60 + 0.2(70 - 60) = 60 + 2 = 62.

In item b, the arrow is 8/10 of the way from 8 to 9, hence the number is:

8 + 0.8(9 - 8) = 8.8.

In item c, the arrow is 3/10 of the way from 2.5 to 3.5, hence the number is:

2.5 + 0.3(3.5 - 2.5) = 2.8.

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Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

Answers

Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular-    problems  /Algebra/  262080

Step-by-step explanation:

Answer: man i wish i knew

Step-by-step explanation:

Compute without a calculator:
$$(72\cdot 78\cdot 85\cdot 90\cdot 98)\div (68\cdot 84\cdot 91\cdot 108).$$
(There's an easier way than multiplying out the giant products $72\cdot 78\cdot 85\cdot 90\cdot 98$ and $68\cdot 84\cdot 91\cdot 108$!)

Answers

Take the prime factorization of each factor in the product.

[tex]\dfrac{72 \times 78 \times 85 \times 90 \times98}{68 \times 84 \times 91 \times 108} \\\\ ~~~~~~~~ = \dfrac{(2^3\times3^2)\times(2\times3\times13)\times(5\times17)\times(2\times3^2\times5)\times(2\times7^2)}{(2^2\times17)\times(2^2\times3\times7)\times(7\times13)\times(2^2\times3^3)} \\\\ ~~~~~~~~ = \dfrac{2^6 \times 3^5 \times 5^2 \times 7^2 \times 13 \times 17}{2^6 \times 3^4 \times 7^2 \times 13 \times 17} \\\\ ~~~~~~~~ = 3 \times 5^2 = \boxed{75}[/tex]

A(4,3) B(1/2, 1/5) C( 3/4, 7/4). Which point lies on the circumstance of the unit circle?

Answers

None of the three points (A, B, C) lies on the circumference of the unit circle.

What point is in the circumference of an unit circle?

Unit circles are circles centered at the origin and with a radius of 1. A point is on the circumference if and only if the distance of the point respect to the origin is equal to 1. The distance of each point is determine by Pythagorean theorem:

Point A

[tex]d = \sqrt{4^{2}+3^{2}}[/tex]

d = 5

Point B

[tex]d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{1}{5}\right)^{2} }[/tex]

d = √29 /10

d ≈ 0.539

Point C

[tex]d = \sqrt{\left(\frac{3}{4} \right)^{2}+\left(\frac{7}{4} \right)^{2}}[/tex]

d = √58 /4

d ≈ 1.904

None of the three points (A, B, C) lies on the circumference of the unit circle.

Remark

The statement presents a typing mistake, correct form is shown below:

A(x, y) = (4, 3), B(x, y) = (1/2, 1/5), C(x, y) = (3/4, 7/4). Which point lies on the circumference of the unit circle?

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Did you ever purchase a bag of M&M Peanut candies and wonder about the distribution of
the colors? A recent article reported that 30 percent of the candies are brown, 20 percent yellow,
20 percent red, 20 percent green, and 10 percent orange. A one-pound bag of M&M peanut
candies was purchased at Wal-Mart here in Lubbock. A total of 188 candies were in the bag,
with 67 brown, 22 yellow, 51 red, 24 green, and 24 orange.
Fill in the following chart on the frequency of the colors.
Color Brown Yellow Red Orange Blue Green
Observed
Frequency
Expected
Frequency
Using the information from our sample bag, determine if our bag’s distribution matches the
advertised distribution. Use an alpha = 0.05.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What distribution are you using?
4. What test are you running?
5. What is the critical value?
6. What is your test value?
7. What is your conclusion?

Answers

The null hypothesis is that the proportions are 0.30, 0.20, 0.20, 0.20, 0.10 and the alternative hypothesis is that the proportions are not as given above.

How to illustrate the information?

It should be noted that the null hypothesis is the theory that states that there is no statistical relationship between the variables.

In this case, the Chi square test can be run to get the desired information. Therefore, X² was gotten as 19.597. The degree of freedom is 4 and the p value is 0.0006 from the distribution table.

In this case, the critical value of 0.006 is less than the 0.05. Therefore, we need to reject the null hypothesis.

This implies that there's evidence that the distribution doesn't correlate with what we've.

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Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals. Last weekend, they sold 1,038 kids' meals. Twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli.
How many kids chose apple slices?

Answers

519 children chose apple slices.

Possibilities

Given that Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals, and last weekend, they sold 1,038 kids' meals, and twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli, to determine how many kids chose apple slices, the following calculation must be performed:

1038 = 2B + B + 3B1038 = 6BB = 1038 / 6B = 173P = 173 x 2 = 346A = 173 x 3 = 519

Therefore, 519 children chose apple slices.

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Answer:519 children chose apple slices.

Step-by-step explanation:

Please help


The mean length of 7 childrens' index finger is 7.8cm.
The mean length of 7 adults' index finger is 17.7cm.
What is the mean length (rounded to 2 DP) of these 14 people's index finger?

Answers

The combined mean of the 14 people's index finger is: 12.75 cm.

How to Find the Combined Mean?

Combined mean = [(mean of first group × number of data of the first group) + (mean of second group × number of data of the second group)] ÷ (number of data of the first group + number of data of the second group).

Given the following:

Mean of first group = 7.8

Number of data of the first group = 7

Mean of second group = 17.7

Number of data of the second group = 7

Combined mean = [(7.8 × 7) + (17.7 × 7)] / (7 + 7)

Combined mean = 178.5 / 14

Combined mean = 12.75 cm.

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Calculate the area of a rectangular field with perimeter 88 cm and length 18 cm​

Answers

The area of the rectangular field is 468cm².

Step-by-step explanation:

If, length is 18cm; width is unknown( let x represent width). Then,

Perimeter of a rectangle= Length + Width+ Length + Width

88= 18 + x + 18 + x

88= 36 + 2x

88-36 =2x

52= 2x

52/2=2x/2

26=x

•x=26cm

The width of the rectangle is 26cm.

Area of a rectangle= Length × Width

=18cm×26cm

= 468cm².

A bank charges 12% simple interest p.a. on a cash loans for R10 000,must repay the loan over 4 years.

Calculate the interest which is gonna be paid to the loan?

Answers

Answer:

$4800

Step-by-step explanation:

Let's use the simple interest formula, P(1+rt), to find the final amount of the loan

10000(1+.12*4) = 14800, the final amount

14800 - 10000 = 4800 total in interest

a using the strategy to determine the area of the large rectangle
b explain how this strategy relates to the binomial multiplication
c focused on multiplying two binomials, explain a strategy that can be used to multiply any two polynomials

Answers

The area of the large rectangle by using the strategy is; 168cm².

What is the area of tge large rectangle?

The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;

Area = Length × width

Area = (10cm + 4cm) × (10cm × 2cm)

Area = (100+20+40+8)cm²

Area = 168 cm².

The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.

The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.

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The circumference of a circle is 13π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

The area of the circle with the given circumference is: 42.25π in.².

What is the Area and Circumference of a Circle?

Area = πr²

Circumference = 2πr.

Given the following:

Circumference of the circle = 13π in.

Find the radius (r):

2πr = 13π

Divide both sides by 2π

2πr/2π = 13π/2π

r = 13/2

r = 6.5

Area = πr² = π(6.5²) = 42.25π in.²

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Rectangle MNPQ is rotated using the origin as the center of rotation, resulting in rectangle M’N’P’Q’, as shown below.

On a coordinate plane, rectangle M N P Q has points (negative 2, 6), (0, 4), (negative 3, 1), (negative 5, 3). Rectangle M prime N prime P prime Q prime has points (6, 2), (4, 0), (1, 3), (3, 5).

Which rotation may have occurred?
a 45° rotation clockwise
a 45° rotation counterclockwise
a 90° rotation clockwise
a 90° rotation counterclockwise

Answers

Answer:

45° rotation clockwise

Step-by-step explanation:

When you plot these on the graph, the non prime ones are on quadrant 2 and when you plot the prime ones, it is on quadrant 1. This means that it is 45° to the right(clockwise)

⬇️red is prime blue is regular ⬇️

find each lettered angle

Answers

Answer:

a = 103°

b = 103°

c = 97°

d = 83°

e = 154°

100 POINTS

Find the volume of the composite solid.

A ) 1099.01 m^3

B) 104.67 m^3

C) 889.67 m^3

D) 785 m^3

Answers

Volume of a cylinder: PI x radius^2 x height

= 3.14 x 5^2 x 10 = 785 m^3

Volume of a cone: pi x radius^2 x height/3

= 3.14 x 5^2 x 4/3 = 104.67 m^3

Total volume  = 785 + 104.67 = 889.67 M63

Answer: C. 889.67 M^3

Answer:

[tex]\textsf{C)}\quad \sf 889.67\: m^3[/tex]

Step-by-step explanation:

The given composite solid is made up of a cylinder and a cone.

To find the volume of the composite solid, find the volume of the cylinder and the volume of the cone, then add them together.

Volume of a cylinder:

[tex]\sf V=\pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 10 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cylinder & = \sf \pi (5)^2(10)\\ & = \sf 250 \pi \:\:m^3 \end{aligned}[/tex]

Volume of a cone:

[tex]\sf V=\dfrac{1}{3} \pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 4 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cone & = \sf \dfrac{1}{3} \pi (5)^2(4)\\ & = \sf \dfrac{100}{3}\pi \:\:m^3 \end{aligned}[/tex]

Therefore, the volume of the composite solid is:

[tex]\begin{aligned}\implies \sf Volume\:of\:composite\:solid & = \sf Cylinder\:volume+Cone\:volume\\ & = \sf 250\pi + \dfrac{100}{3}\pi \\ & = \sf \dfrac{850}{3} \pi \\ & = \sf \dfrac{850}{3} \times 3.14 \\ & = \sf 889.67\:m^3\:(2\:d.p.)\end{aligned}[/tex]

graph

Y=-2x-3 and y=-x+6

Answers

Answer:

here ya go :)

the black line is y=-2x-3

the lavender line is y=-x+6

Which equation is represented by the graph below?

A y=In x-3
B y=In x-4
C y=e^3 -3
D y=e^3 -4

Answers

Answer:

D

Step-by-step explanation:

I assume that for C and D, you meant e^x.

Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)

Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.

Suppose we want to choose 5 letters, without replacement, from 15 distinct letters.

Answers

[tex]order \: does \: not \:matter \\ sample \: space = 15 \: letters \\ no \: repetition\\ P(A) = 15C5 = 3003 \: ways[/tex]

Find the value of variable X.

16

41

10

17.5

Answers

Using secant rule, the value of variable x in the diagram is 10.

What is a secant?

A secant is a line that intersect a circle in two points.

Therefore, the following rule guides a secant.

(x + 32)32 = (20 + 28)28

Hence,

32x + 1024 = (48)28

32x + 1024 = 1344

32x = 1344 - 1024

32x = 320

divide both sides by 32

32x / 32 = 320 / 32

x = 10

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PLSSSSSSSSSSSSSSS HELP pls

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 10x + 30 = 90[/tex]

[ according to given figure ]

[tex]\qquad \sf  \dashrightarrow \: 10x = 90 - 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 60 \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 6 \degree[/tex]

Correct choice is D

What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.

Answers

answer:

x = - 9/2

y = -10

Step-by-step explanation:

make both equations look like y =

2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7

-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2

now make the equations equal to each other (since they both equal y)

get x

2/3x - 7 = 3x + 7/2

-7 -7/2 = 3x - 2/3x

-14/2 -7/2 = 9/3x - 2/3x

-21/2 = 7/3x

(3/7) -21/2 = x

x = (3/7) -21/2

x = - 63/14

x = - 9/2

put it back in an equation to get y

y = 3x + 7/2

y = 3(-9/2) + 7/2

y = -27/2 + 7/2

y = -20/2

y = - 10

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How much money is borrowed if the interest rate is 9.25% simple interest and the loan is made for 3.5 years and has 904.88 interest

Answers

The amount borrowed is 2795

What is Principal?

Principal is the amount loaned or invested in a bank or a financial institution that gives a certain interest on a specific rate over a period of time.

Analysis:

P = principal = unknown

R = rate = 9.25%

T = time = 3.5 years

I  = interest = 904.88

simple interest(I) = PRT/100

P = 100I/RT

P = 100 x 904.88/3.5 x 9.25 = 2795

In conclusion, the amount borrowed is 2795.

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 11 ounces.

Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.

a) 68% of the widget weights lie between________and_______

b) What percentage of the widget weights lie between 24 and 57 ounces?

c) What percentage of the widget weights lie below 79

Answers

Using the Empirical Rule, it is found that:

a) 68% of the widget weights lie between 35 and 57.

b) The percentage is 81.5%.

c) The percentage is 99.85%.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

For this problem, we have that:

In item a, 68% of the widgets are within 1 standard deviation of the mean, hence between 35 and 57.In item b, between 2 standard deviations below the mean(95% of 50% due to the symmetry of the normal distribution) and 1 above(68% of 50%), hence the percentage is: P 34% + 47.5% = 81.5%.For item 3, below 3 standard deviations above the mean, hence removes only the top 0.15%, hence 99.85%.

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find the slope of this line

Answers

Answer:

0

Step-by-step explanation:

On a graph, any line that is horizontal has a slope of zero. Try any points and and plug them into the slope formula equation

(Y2-Y1/X2-X1).

The answer will always be zero.

.
A new refrigerator that normally sells for $897.00 is on sale for 15% off. If the sales tax is 7.5%, then how much will you pay in total for the refrigerator while it’s on sale?



Answers

Answer: About 830 dollars

Step-by-step explanation: find 15% off on 897 then find 7.5 percent of 897, then add them together.

Select the correct answer. What is the domain of y = tan (x)? ​

Answers

At 90 degrees, the tangent of x is undefinable.

What does determining the domain mean?The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain. Keep in mind that a fraction's denominator (bottom) cannot be zero when determining the domain. The integer that comes after a square root symbol in this section needs to be positive.

The domain of y = tan (x):

y = tan(x)

Except for 90, all sets of positive real numbers fall within the domain of y = tan(x).

At 90 degrees, the tangent of x is undefinable.

Due to the exclusion of 90, all sets of positive real numbers are included in the domain of y = tan(x).

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Amanda makes $40,000 and gets an annual raise of $3,000. Marie makes $45,000 and gets an annual raise of $2,500. How many years will it take Amanda and Marie to make the same salary?

Answers

Answer:

Six years

Step-by-step explanation:

because it will divided the twoo digit and mutiple it self

Other Questions
Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1. 65% annual simple interest on the money in the account. What was the balance in his account at the end of 4. 5 years? Enter the amount in the account in the box. subtraction property of equalitymultiplication property of equality173343X-Step3X=17 3 177--7-x+5-7735x.-44-2/x-12x X=1 2X= X-2X=-45--X=division property of equalityX+52-/3/33addition property of equality23815-333x-/3-1/2 x-17453givensimplificationJustification the flow of input data for budgeting should be from the highest levels of responsibility to the lowest.True False ephemeral streams consist fo a seres of intertwined channels that are overloaded with sediemnt. TRUE/FALSE use the graphs shown in the figure below. all have the form f(x)=abxfx=abx . All the following are needed for the computation of depreciation exceptA. training costs of manufacturing personnel (fact)B. cost (fact)C. salvage value (company does estimation)D. estimated useful life A supply chain system does not include information about: multiple choice prospective customers. availability of inventory. current suppliers. current customers. Which of the following entries accurately reflects the accrual of the payroll obligation?Group of answer choicesDebits wages/salaries expense, and credits wages/salaries payableDebits wages payable, credits wages expenseDebits wages expense, credits cashDebits salary expense, credits cash for what value of the constant c is the function f continuous on ([infinity], [infinity])? f(x) = cx2 3x if x < 2 x3 cx if x 2 if a firm turns over inventory once a week, they would have 7 days' worth of inventory on hand. question content area bottom part 1 true/ false The Consolidated-Climate-Change-Fighting-Electricity-Company owns and operates three generators. The cost characteristics of these generators are given by (the powers are expressed in MW): C1 = 300 + 12 P1 + 0.05 P[$/h] Pi 250 MW C2 = 250 + 13 P2 +0.06 P2? [$/h] P2 250 MW C3 = 150 + 11 P3 + 0.08 P3? [$/h] P3 200 MW Calculate the optimal economic dispatch for the case where the total load on the system is equal to 400 MW. How much would an extra MW of load cost per hour? a reduction in the price of donuts will cause (click to select) for donuts. an increase in consumer income will cause (click to select) for donuts (a normal good). a. A reduction in the price of donuts will cause (Click to select) for donuts b. An increase in consumer income will cause (Click to select) for donuts (a normal good. (Click to select a movement up the demand curve an outward shift in the demand a movement down the demand curve an inward shift in the demand a. A reduction in the price of donuts will cause (Click to select) for donuts for donuts la normal good b. An increase in consumer income will cause click to select) (CE to select a movement up the demand curve an outward shift in the demand an inward shift in the demand movement down the demand curve Next > the innateness hypothesis supposes that language learning ability is innate in humans. in other words l variables not in the model might be relevant to predicting the price of an antique clock? Use the Born-Haber cycle to determine the lattice energy (in kJ/mol) of LiCl, given the following thermochemical data:(1) Li(s) --> Li(g) H1=155.2 kJ/mol (heat of sublimation of Li)(2) Cl2(g) --> 2Cl(g) H2=242.8 kJ/mol (dissociation energy of gaseous Cl2)(3) Li(g) --> Li+(g) + e- H3=520 kJ/mol (first ionization energy of Li)(4) Cl(g) + e- --> Cl-(g) H4=-349 kJ/mol (electron affinity of Cl)(5) Li(s) + 1/2Cl2(g) --> LiCl(s) H5=-408.3 kJ/mol (heat of formation of solid LiCl)Answer is 856 kJ/mol Please just explain how to get to this answer! thanks. A transmitter has an output of 2 W at a carrier frequency of 2 GHz. Assume that the transmitting and receiving antennas are parabolic dishes each 3 ft in diameter Assume that the efficiency of each antenna is 0.55. (a) Evaluate the gain of each antenna. (b) Calculate the EIRP of the transmitted signal in units of dBW. (c) If the receiving antenna is located 25 miles from the transmitting antenna over a free-space path, find the available signal power out of the receiving antenna in units of dBW. Origami is the Japanese art of paper folding. The diagram below representsan unfolded paper kabuto, a samurai warrior's helmet. From the kabuto below,which of the following are pairs of congruent angles?Check all that apply.OA. ZIRF and ZMRNB. CRU and ZIRMOC. ZQRT and ZQRUOD. ZONT and MTN it is acceptable to leave patients unattended on a treatment table if they are young and alert. TRUE / FALSE. there are always some elements of persuasion in an informative speech. a child receiving chemotherapy is experiencing significant reduction in red blood cells secondary to myelosuppression. which agent would the nurse most likely expect to be ordered?