What is the APY of a savings account with an APR of 3.9886% and compounded quarterly.

To simplify the given expression, subtract the terms in the numerator, and then simplify the terms in the denominator. Finally, divide the numerator by the denominator.

To perform the indicated operation a-a^4/a^2+a+1, we need to simplify the expression using the order of operations. First, we simplify the terms in the numerator: a - a^4. Then, we simplify the terms in the denominator: a^2 + a + 1. Finally, we divide the simplified numerator by the simplified denominator to get the final answer.

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To perform the given operation, we need to follow the order of operations and simplify the exponents before performing the division, addition, and subtraction.

To perform the indicated operation a - a^4 / a^2 + a + 1, we need to follow the order of operations, which is often remembered using the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

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Answer:

Question A: The dimensions of the original painting are 42 cm by 126 cm.

Question B: The area of the original painting is [tex]5292cm^2[/tex]

Question C:  The dimensions of the painting in feet are 1.386 ft by 4.158 ft.

Step-by-step explanation:

Question A:

The scale of the copy is

0.5 inches:12 centimeter.

This means that 1 inch on the scale is 24 centimeters.

Therefore the width of the original painting is:

[tex]1.75*24cm=42cm[/tex]

and the height of is:

[tex]5.25*24cm=126cm[/tex]

Therefore the dimension of the original painting are 42 cm by 126 cm.

Question B;

The area of the original painting is just width multiplied by height:

[tex]Area=42cm*126cm=5292cm^2[/tex]

Question C:

We convert the dimensions of the painting from centimeters to feet:

[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]

[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]

Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.

Answer:

Step-by-step explanation:

The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.

From the given scale we can deduct that 1 inch equals 24 centimeters.

So, the dimensions of the original are

[tex]1.75 \times 24 =42[/tex]

[tex]5.25 \times 24= 126[/tex]

Therefore, the original painting has dimensions 42 cm by 126 cm. (A)

Notice that the original painting is also rectangular, so its area is

[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)

Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are

[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]

Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)

Answer:

x = 17

Step-by-step explanation:

Answer:

Solve the following equation for x.

(x-5)/ 2 = 6 x=17

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.

Answer:

(t + 7) • (t - 11)

Step-by-step explanation:

Step-by-step explanation:

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).

The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.

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Point-slope form:

y - y₁ = m(x - x₁)              "m" is the slope

You know:

m = -3

(x₁ , y₁) = (-1, -4)

So you can plug this into the equation:

y - y₁ = m(x - x₁)      

y - (-4) = -3(x - (-1)

y + 4 = -3(x + 1)

Answer:

5:3 AND 10:6

Step-by-step explanation:

_________________[tex]Hope this helps! <3[/tex]_____________________________

Answer:

254

Hope this helps you!!! :)

Answer:

The length of wooden board = 9.4648 feet.

Step-by-step explanation:

The wooden board makes a Right triangle with the building in which we have wooden board as hypotenuse, building as opposite side, and ground as adjacent side, the angle of elevation is 65 degrees.

Given adjacent side = 4 feet and elevation angle = 65 degrees.

We can use cosine formula in right triangle as follows:-

Cos(65°) = Adjacent / Hypotenuse

cos(65°) = 4 / Hypotenuse

Hypotenuse = 4 / cos(65°)

Hypotenuse = 9.464806333 feet.

Hence, the length of wooden board = 9.4648 feet.

Final answer:

To find the length of the wooden board which forms a 65-degree angle with the ground and has its base 4 feet from the building, use the cosine function to calculate the hypotenuse of the right triangle formed. The length of the board is approximately 9.06 feet.

Explanation:

To find the length of the wooden board leaning against a building, we can use trigonometry. Since the base of the board forms a 65-degree angle with the ground, and the distance from the base of the building to the base of the board is 4 feet, we have a right-angled triangle where we know the angle and the adjacent side.

Step-by-step solution:

Identify the right triangle formed by the board, the ground, and the wall of the building.

Use the cosine function which relates the adjacent side and hypotenuse in a right triangle. The cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse (cos(θ) = adjacent/hypotenuse).

Rearrange the formula to solve for the hypotenuse: hypotenuse = adjacent/cos(θ).

Plug in the values: hypotenuse = 4 ft / cos(65°).

Calculate the length using a calculator: hypotenuse ≈ 4 ft / cos(65°) ≈ 9.06 ft.

The length of the wooden board is approximately 9.06 feet.

The slope of the given line, determined from the graph and the point-slope form, is -0.5.

The slope of a line is a measure of its steepness. To determine the slope from a graph, you can use the point-slope form and the slope-intercept form of a linear equation.

Given a graph with points (0,1) and (0.5,0), you can calculate the slope as follows:

Use the point-slope form of a linear equation:

(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are points on the line.

Plug in the coordinates of the given points:

(y - 1) / (x - 0) = (0 - 1) / (0.5 - 0)

Simplify:

(y - 1) / x = -1 / 0.5

Further simplify:

2(y - 1) = -x

Rearrange to isolate y:

2y - 2 = -x

2y = -x + 2

y = (-1/2)x + 1

Compare this equation to the slope-intercept form, y = mx + c. In this case, the slope (m) is -1/2, which is equivalent to -0.5.

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The question probable may be:

what is the slope of the line

Question 5: 4) 2006-2012

Question 6: 8x^2+8x+1

Question 7: 2) 2

Question 8: a is picture on top, b is picture on bottom

Answer:

1/35

Step-by-step explanation:

Probability the first prize is a toy car

There are 3 toy cars and 15 prizes.

3/15  = 1/5

Probability the second prize is a toy car

Since we now have a toy car, there are are 2 toy cars left and only  14 prizes.

2/14  = 1/7

We have two events, so we multiply the probabilities.

1/5 * 1/7 = 1/35

The probability of getting 2 toy cars is 1/35

Answer:

shipping and handling is 18.90 dollars

Step-by-step explanation:

percent means "per one hundred", so any percent can be written as a fraction over 100

30% = 30/100 = 0.30

Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.

Answer:

18.90

Step-by-step explanation:

We need to figure out the cost of shipping and handling

shipping and handling = original price * percent

                                     = 63* .3

                                     =18.90

Answer:

BC =10

AC = 13.661

Step-by-step explanation:

We can use the law of sines to solve this problem

sin C         sin B       sin A

---------- = ----------  = ---------

AB              AC          BC

Lets substitute in what we know

sin 30        sin B       sin 45

---------- = ----------  = ---------

5sqrt(2)       AC          BC

We can calculate angle B because all three angles have to add to 180

A+B+C = 180

45+B + 30 = 180

75+B=180

Subtract 75 from each side

75-75+B=180-75

B =105

sin 30        sin 105       sin 45

---------- = ----------  = ---------

5sqrt(2)       AC          BC

Using cross products and the first and third columns

BC sin 30 = 5 sqrt (2) sin 45

BC * .5 = 5 sqrt(2) * 1/2 sqrt(2)

1/2 BC = 5

Multiply by 2

2*1/2 BC = 5 *2

BC =10

Using cross products and the first and second columns

BC sin 30 = 5 sqrt (2) sin 105

sin 105 is really ugly as an exact answer

.5 AC  = 5 sqrt(2) .966

Divide by .5

AC = 5 sqrt(2) .966/.5

AC = 13.661

Answer:

BC = 10

AC = 13.66

Step-by-step explanation:

Remark

Both sides are found using the law of sines

Formula BC

Sin(45)/BC = Sin(30)/(5√2)

Solution for BC

Sin(30) = 0.5

Sin(45) = √2 / 2

Solution for AC

Answer:

I think it is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

24

Answer:

Step-by-step explanation:

it looks like an isosceles triangle, but is an equilateral triangle, 3 equal sides and 3 equal angles, you have the value of 120°, and the interior angle is 60° (180 - 120 = 60°), this angle is equal to angle y.

y = 60*

the sum of the interior angles of a triangle is 180°

180 - 60 - 60 = 60°

x = 60°

Answer:

Daisha started her homework at 4:25

Step-by-step explanation:

I first take off the 5 minutes after 5:00 (i will add it back later)

Then i subtract 40 from 60 (60 minutes = 1 hour) and 20 minutes is left.

i then add the 5 minutes to the 20 minutes and get 25 minutes.

Since she had already been doing her homework for 40 min. and was not about to do it, i can say she started at 4:25.

make brainliest please

Answer:

r>7

Step-by-step explanation:

Subtract 2.92.9 from both sides

-1.3-2.9>-0.6r−1.3−2.9>−0.6r

Simplify -1.3-2.9−1.3−2.9 to -4.2−4.2

-4.2>-0.6r−4.2>−0.6r

Divide both sides by -0.6−0.6

\frac{-4.2}{-0.6}<r

​−0.6

​​−4.2

<r

Simplify \frac{-4.2}{-0.6}

​−0.6 ​−4.2​​  to 77

7<r

Switch sides

r>7

Answer:

Step-by-step explanation:

.4/3.8= 10.52/100

the amount of glycerin in the bar of soap is 10.5263158

Answer:

1.52 oz

Step-by-step explanation:

The glycerin makes up 4/10 of the weight of the soap. Since the soap weighs 3.8 oz. then the glycerin makes up

4/10 * 3.8 = 1.52 oz

Answer:

Your answers is 11.2 OUNCES!

Step-by-step explanation:

Error, Wont let me show work, But the answer is 11.2 OUNCES, I'm positive! :)

The total weight in ounces of the entire packages of Lindsay is 11.2 ounces.

Given data:

Lindsay has two packages which weighs 6.3 ounces and 4.9 ounces respectively.

To find the total weight of the two packages, add the individual weights together.

Package 1 weight: 6.3 ounces

Package 2 weight: 4.9 ounces

Total weight = Package 1 weight + Package 2 weight

On simplifying the equation:

Total weight = 6.3 ounces + 4.9 ounces

Total weight = 11.2 ounces

Hence, the packages weigh together a total of 11.2 ounces.

To learn more about equations:

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Answer:

Hope this helps!

Step-by-step explanation:

y=6x+4 is linear but not proportional because it doesn't have any exponents causing it to be Linear ....it is not proportional  because it is not in y=mx form

y=8x is linear and proportional because it is in y=mx form and doesn't have any exponents

y=x-3 is linear and not proportional because it is not in y=mx form it is not proportional ..... it is linear because it has no exponents  

y=9x^2+1 is not linear and is not  proportional....it is not linear because it has an exponent and not proportional because it is not in y=mx form  

Answer:

2/3

Step-by-step explanation:

Given that a six sided die with sides labelled with numbers 1,2,3,4,5 and 6 is rolled once.

Since die is said to be equally likely for each number, die is unbiased

P(1) = P(2)=...=P(6) = 1/6

For a number greater than 2, we must not include 2 and hence numbers can be 3 or 4 or 5 or 6

Probability of rolling a number >2 = Probability of rolling 3 or 4 or 5 or 6

= P(3)+P(4)+P(5)+P(6)

= 1/6+1/6+1/6+1/6

=4/6

=2/3

Required probability = 2/3

The probability of rolling a number greater than 2 on a six-sided die is 2/3. This is because there are 4 numbers greater than 2 on the die and the total number of possible outcomes when the die is rolled is 6.

The subject of this question is probability, a topic in mathematics. To solve this problem, we need to first understand the total possible outcomes when rolling a six-sided die. The outcomes are the numbers 1 through 6, so we have 6 possible outcomes.

To find the probability of rolling a number greater than 2, we need to determine how many outcomes match this condition. The numbers greater than 2 on a six-sided die are 3, 4, 5, and 6. So, there are 4 favorable outcomes.

Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of rolling a number greater than 2 on a six-sided die is 4/6, which simplifies to 2/3.

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[tex]Domain:x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\to \boxed{x=9}\to\boxed{C.}[/tex]

Answer:18 us liquid quarts =

17.034 liters

Step-by-step explanation:

1 us liquid quart =

0.946 liter

Multiply 0.946 *18 =17.034

Mark me brainliest

Answer:

A. 0.75  

Step-by-step explanation:

The formula for the correlation coefficient r is

[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]

It's easier to use a statistical calculator, but this question probably expects you to do it by hand.

Let’s write a table for easy calculation.

x    y      xy     x²      y²  

15  36   540  225  1296

13  22   286   169   484

12    6     72    144     36

11  20   220    121    400

51 84   1118   659   2216

(Σx)² = 2601

(Σy)² = 7056

[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]

[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]

[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]

[tex]r =\frac{188}{\sqrt{63280}}[/tex]

[tex]r =\frac{188}{251.6}[/tex]

r = 0.747

The graph below shows that there is a poor correlation among the points.

Answer:

y = 20x + 40

Step-by-step explanation:

Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.

That means fixed one time cost is $40 which doesn't changes with time.

If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.

So the final cost will be sum of fixed cost and the rental cost per day which is:

20x+40

Now if "y" represents total rental cost over time then final cost equation can be written as:

y = 20x + 40

Hence final answer is y = 20x + 40y = 20x + 40.

Answer:The answer is Y=20x+40

Answer:

830

Step-by-step explanation:

38+(22*36)

start with parenthesis first so multiply 22* 36= 792

then add the 792+38 and get 830