z=-3x2+2ey-2y+3 cực trị tự do

Answer:

Step-by-step explanation:

To solve this problem, we can use the formula for calculating the fixed monthly payment on a mortgage:

P = (r * PV) / (1 - (1 + r)^(-n))

where:

P = fixed monthly payment

r = monthly interest rate (annual interest rate divided by 12)

PV = present value of the loan (loan amount)

n = total number of payments (number of years multiplied by 12)

Using the given values:

r = 0.0735 / 12 = 0.006125

PV = R150,000

n = 20 x 12 = 240

Then we can calculate the monthly payment:

P = (0.006125 * 150000) / (1 - (1 + 0.006125)^(-240)) = R1,181.91

This means that Gideon will have to pay R1,181.91 every month for 20 years to repay his loan.

To determine how much of the second payment applies to the principal balance, we need to calculate the interest and principal amounts of the first payment.

For the first payment, the interest can be calculated as:

interest1 = r * PV = 0.006125 * 150000 = R918.75

This means that the first payment consists of R918.75 in interest and the rest, R1,181.91 - R918.75 = R263.16 is principal.

To find out how much of the second payment applies to the principal balance, we need to subtract the interest and add the calculated principal amount from the first payment to the amount of the second payment:

principal2 = (P - interest1) + principal1 = (1181.91 - 918.75) + 263.16 = R525.32

Therefore, R525.32 of the second payment applies to the principal balance.

Answer:

(657)

Step-by-step explanation:

Simplify the following:

3 (300 - 70/5 - (3×23 - (8 - 2×3)))

The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:

3 (300 + -14 - (3×23 - (8 - 2×3)))

-2×3 = -6:

3 (300 - 14 - (3×23 - (-6 + 8)))

8 - 6 = 2:

3 (300 - 14 - (3×23 - 2))

3×23 = 69:

3 (300 - 14 - (69 - 2))

| 6 | 9

- | | 2

| 6 | 7:

3 (300 - 14 - 67)

300 - 14 - 67 = 300 - (14 + 67):

3 ((300 - (14 + 67)))

| 1 |

| 6 | 7

+ | 1 | 4

| 8 | 1:

3 (300 - 81)

| | 9 |

| 2 | | 10

| | |

- | | 8 | 1

| 2 | 1 | 9:

3 (219)

3 (219) = (3×219):

(3×219)

3×219 = 657:

Answer: (657)

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.

What is discount?

Discount means the amount which is deducted by sellers from the amount to be payable by buyers.

Part A:

Store A is selling the laptop for $900 and has a discount coupon for 15% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:

Discount amount = $900 x 15% = $135

Therefore, the amount of the discount at Store A is $135.

Part B:

Store B is selling the laptop for $950 and has a discount coupon for 10% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:

Discount amount = $950 x 10% = $95

Therefore, the amount of the discount at Store B is $95.

Part C:

At Store A, the final price would be:

Final price at Store A = $900 - $135 = $765

At Store B, the final price would be:

Final price at Store B = $950 - $95 = $855

Therefore, Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.

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Answer:

w≤ 8.103  I hope this is right

Step-by-step explanation:

divide both sides  6w÷6 ≤ 48.618÷6

6w÷6= w≤ 48.618÷6,   48.618÷6= w≤ 8.103

Answer:

Step-by-step explanation:

Find 15 percent of 81.95 and add it to that.

The answer is 94.24 rounded.

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

. 143

Step-by-step explanation:

Because 8 is greater than 5 so we can say that when we round .1428 to nearest thousandth it will be closer to .143

Answer:

C(-2) = -9

Step-by-step explanation:

Step 1: Define

C(x) = -3x² - 3x - 3

C(-2) = x = -2

Step 2: Substitute and Evaluate

C(-2) = -3(-2)² - 3(-2) - 3

C(-2) = -3(4) + 6 - 3

C(-2) = -12 + 6 - 3

C(-2) = -6 - 3

C(-2) = -9

Answer:

The two events are not independent

Step-by-step explanation:

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

1

Step-by-step explanation:

(Cot t) (Sin t)/(Cos t)

cot = cos / sin

Replacing cot t with cos t / sin t

cos t/ sin t * (Sin t)/(Cos t)

Canceling the sin t's

cos t / cos t

1

Answer:

3 \(\frac{3}{4}\) inches

Answer: I'm pretty sure it's 3 5/8, it's the S that's blocking the view but it gotta be 3 5/8.

Step-by-step explanation: PLS MAKE ME BRAINLIST

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Answer:

Step-by-step explanation:

Answer:

Option c. 252 square feet

Step-by-step explanation:

This question does not have figure, please find the figure attached below.

Area of the triangular sides  = \(2(\frac{1}{2}\times bh)\)

                                              = \(2(\frac{1}{2}\times 3\times 4)\)

                                              = 2(6)

                                              = 12 feet²

Area of the rectangular base = A = b × h

                                                = 20 × 3

                                                = 60 feet²

Area of the lateral side =  20 × 5

                                       = 100 feet²

Area of the vertical rectangular side = 20 × 4

                                                            = 80 feet²

Total surface area = 12 + 60 + 100 + 80

                              = 252 feet²

Total surface area of the triangular prism is 252 square feet.

Question 2

\(23=p \cdot 250\)

Question 3

\(p=\frac{23}{250}=0.092\)

Ok, so:

First of all, we're going to find the volume of the cube, and then, we're going to rest the volume of the cone from the cube, and then we'll obtain the result.

So, the volume of a cube is given multiplying its height, its large and its width.

So, the volume of the cube will be (6mm)(6mm)(6mm), which is equal to 216mm^3.

Now, we have to find the volume of the cone.

This volume can be calculated using this equation:

Vcone = (π*r^2*h)/3.

where r is the radius and h is the height.

So, if we replace:

Vcone = (π*(2^2)*6)/3.

So, Vcone is 8π mm^3.

Now, we have to find the remaining volume!

This is 216mm^3 - 8π mm^3.

And that's equal to: 190.867mm^3

The height of the box that has a volume of 1250 cubic cm with a length of 20cm and a width of 5cm will be 12.5cm.

It should be noted that the formula for the volume will be:

= Length × Width × Height

Therefore the height will be:

Volume = LWH

where

L = length = 20cm

W = width = 5cm

H = height = unknown

1250 = (20 × 5 × H)

1250 = 100H

Height = 1250/100

Height = 12.5 cm

Therefore, the height is 12.5cm.

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The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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Based on the information given, the null hypothesis states that the newscast reaches 41% of the viewing audience, while the alternate hypothesis states that it does not reach 41% of the audience. So, the correct answer is d. Fail to reject the null hypothesis.

To determine the decision, we need to perform a hypothesis test using the given significance level α = 0.01. This significance level represents the maximum acceptable probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

In the survey of 100 viewers, 36% indicated that they watch the late evening news on the local CBS station. To test the hypothesis, we can use a one-sample proportion test. We compare this sample proportion to the claimed 41% to see if there is a significant difference.

Using a statistical calculator or software, we calculate the p-value associated with the observed sample proportion. If this p-value is less than α (0.01), we reject the null hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

Based on the decision criteria, if the p-value is less than 0.01, we would reject the null hypothesis and conclude that the newscast does not reach 41% of the audience. However, if the p-value is greater than or equal to 0.01, we would fail to reject the null hypothesis. To summarize, the correct decision, given α = 0.01, would be d. Fail to reject the null hypothesis.

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

2800ft^2

Step-by-step explanation:

Find the surface area of each side (some have the same area on two sides so it says x 2 because there are two sides with the same area)

top of triangles: 10x25= 250

triangle shaped sides: 15x10= 150

top and bottom of rectangular prism: 36x10x2=360x2=720

tiny side of rectangular prism: 10x20=200

vertical sides of rectangular prism: 20x36x2=720x2=1480

add the answers together to get the total surface area is 2800ft^2

Hope this helps! :)

Answer:

i think the answer is R y-axis(x,y)=(x,-y).

hope get it...

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x