Change the following fraction to a decimal. (Carry the division for three places as indicated. Do not round your answer.)
1/64 =

Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. After 10 years, he would have $7,395 in the account to the nearest dollar.

The formula for calculating the future value (FV) of an investment is: FV = PV(1 + r/n)nt, where PV is the present value, r is the interest rate per period, n is the number of compounding periods per year, and t is the number of years.

In this problem, PV is $450, r is 2.225%, n is 4 (quarters in a year), and t is 10 years. Plugging these values into the formula gives us:

FV = 450(1 + 0.02225/4)4*10 = 450(1.0055625)40 = 450(2.7326) = $7,395

Therefore, after 10 years, Suav would have $7,395 in the account to the nearest dollar.

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Answer:

C) b x 1

Step-by-step explanation:

For example, if b was 2 then 2 x 1 would be 2 so it would be the biggest value out of all the options.

For D, if b was 6 then b x 1/2 would be 3 so it would be at a low value. Therefore C is the correct answer.

The highest 5% of all IQs in the N(100, 15) Normal model are bounded by a value of 124.68, while the lowest 30% are bounded by a value of 92.64. The middle 80% of IQs are bounded by values between 80.77 and 119.23.

In the Normal model N(100, 15):

The highest 5% of all IQs are bounded by a z-score of 1.645, which corresponds to a value of 100 + (1.645 * 15) = 124.68. This means that an IQ of 124.68 or higher is in the top 5% of all IQs in this model.

The lowest 30% of the IQs are bounded by a z-score of -0.524, which corresponds to a value of 100 + (-0.524 * 15) = 92.64. This means that an IQ of 92.64 or lower is in the lowest 30% of all IQs in this model.

The middle 80% of the IQs are bounded by z-scores of -1.282 and 1.282, which correspond to values of 100 + (-1.282 * 15) = 80.77 and 100 + (1.282 * 15) = 119.23, respectively. This means that IQs falling between 80.77 and 119.23 are in the middle 80% of all IQs in this model.

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The shape of the cross section is circle from the following option given.

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

When a cylinder is sliced parallel to its bases, the shape of the cross section will be a circle. This is because the bases of a cylinder are circular, and any plane that is parallel to the bases will intersect the cylinder in a circle of the same radius as the bases. Therefore, regardless of the position of the slice, the shape of the cross section will always be a circle.

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Answer:

x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10

Step-by-step explanation:

Answer:

ouygghjkjhhhggfdddthjj

The 1 1/2 cups divided by 2 is 0.75  cups

Division is the opposite of multiplication. If 3 groups of 4 are multiplied by 12, then dividing 12 into 3 equal groups yields 4 in each group when divided.

Dividend: The dividend is the number that is being divided in the division process.

Divisor: The number by which the dividend is being divided by is called the divisor.

Quotient: The quotient is a result obtained in the division process.

Remainder: Sometimes, we cannot divide things exactly. There may be a leftover number. That leftover number is called the remainder.

The relationship between these four parts can be expressed as follows:

Dividend = Divisor x Quotient + Remainder

The main purpose of sharing is to see how many equal groups form, or how many people belong to each group, when sharing equitably.

In the above example, to divide the 12 donuts into 3 similar groups, we need to place 4 donuts in each group. So dividing 12 by 3 gives 4.

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Answer:

The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.

option c is correct

Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

We must do a sum of vectors during the graph creation process before drawing the resulting vector.

Thus, while looking at the attached graph, we can claim that the vectors are:

w = <1, 5>

u = <-3, 1>

v = <4, -3>

So, the sum = u - v + w

Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:

u - v + w

= <-3, 1> - <4, -3> + <1, 5>

= <-3 - 4 + 1, 1 + 3 + 5>

= <-6, 9>

Therefore, Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

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The length of the side AC of the right-angled triangle is equal to 24cm by comparison using the trigonometric ratio of sine of angle B.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right-angled triangles ABC and DBC, we shall evaluate for the length AC using the trigonometric ratio of sine for the angle B° to derive an equation as follows:

For ∆ABC;

sin B = AC/BC {opposite/hypotenuse}

For ∆DBC;

sin B = 24cm/BC {opposite/hypotenuse}

thus;

AC/BC = 24cm/BC

Therefore, by comparison using the trigonometric ratio of sine for the angle B, we have the length of AC equal to 24cm.

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Answer:

$30

Step-by-step explanation:

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:

Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.

Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.

Answer:

1000 millions are in a billion

Step-by-step explanation:

1 million can be written as 1000000 (6 zeros)

1 billion can be written as 1000000000 (9 zeros)

the difference in the zeros is three and 1000 has three zeros so we can say,

1000000 x 1000 = 1000000000

their zeros are basically added together.

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Answer:

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Step-by-step explanation:

The completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

First to complete the square for the given equation:

x^2 + y^2 + 8x - 6y - 15 = 0

We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.

x^2 + 8x + y^2 - 6y = 15

We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:

x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9

Now we can rewrite the left side of the equation as a sum of perfect squares:

(x + 4)^2 + (y - 3)^2 = 40

Therefore, the completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

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This is a word problem and the value of the unknown number is equal to 5.5.

We can write algebraically the second question as 3(x - 1).

Simplifying fully 15xy ÷ 15xy = 1/y

Word problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.

Let us represent the unknown number with the letter x so that we derive the equation;

2x - 2 = 9

we add 2 from both sides of the equation

2x - 2 + 2 = 9 + 2

2x = 11

divide through by the coefficient of x which is 2

2x/2 = 11/2

x = 5.5.

Using x as the unknown, we can write the statement in the second question as 3(x - 1).

15xy ÷ 15xy = 1/y

Therefore, the value of the unknown number for the word problem is equal to 5.5

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Answer:

in order from last to first

3y

(x-1)3

x2-2=9

Step-by-step explanation:

(I also included the image for your previous question))

When we transform function f, the resulting transformed function may have certain features that are different from the original function.

⇒ g (x) = - f(x-3) is vertical asymptote of x=3

⇒ j (x) = f(x+3) is x-intercept of (-2,0)

⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given function is;

⇒ f(x) = log x

Hence, we get;

g(x) = -f(x+3)= - log(x+3)

g(x) =-f(x-3) is vertical asymptote of x = 3.

j (x) = f(x+3) = log (x+3)

Then, j(x) = f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x) = 3f(x)-3 is domain of (0, ∞)

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The complete question is shown in figure.

The given statement "The total area under the frequency polygon for a continuous random variable equals 1" is true because the total area under the frequency polygon is a measure of the probability of the variable and the probability of a continuous random variable is always equal to 1

Frequency polygons are graphical representations of a continuous random variable. The total area under the frequency polygon for a continuous random variable is a measure of the probability of the variable. In this problem, we are asked if the total area under the frequency polygon for a continuous random variable equals 1.

The answer is true. The total area under the frequency polygon for a continuous random variable indicates the probability of the variable. Since the probability of a continuous random variable is always 1, the total area under the frequency polygon also equals 1.

Therefore, it is true that the total area under the frequency polygon for a continuous random variable equals 1.

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Answer:

42 meters

Step-by-step explanation:

The length of the factory floor will be 42 meters. This is found by multiplying the length of 0.3 meters by the scale factor of 140, which yields 42 meters.

Answer:

42 meters

Step-by-step explanation:

its correct :)

Answer: there are 8 outcomes

Step-by-step explanation:

1: red wallpaper and purple carpet

2: blue wallpaper and purple carpet

3: yellow wallpaper and purple carpet

4: green wallpaper and purple carpet

5: red wallpaper and yellow carpet

6: blue wallpaper and yellow carpet

7: yellow wallpaper and yellow carpet

8: green wallpaper and yellow carpet

Answer: Percent of the jerseys that did not sell is 27% (approx).

Step-by-step explanation: No. of jerseys sold = 225

No. of jerseys not sold =165

Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%

percentage of jerseys not sold = 100-73.33 = 26.67% =27%

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The domain of the function; R (c) as required is; [0, 150].

The range of the function; R (c) as required is; [0, 450].

As evident in the task content; the given function is; R (c) = 3c and the class has a maximum of 150 bags to sell.

In Essence, the possible values of c are such that; 0 ≤ c ≤ 150.

The domain is therefore; [0, 150].

Hence, the range is; 3(0) ≤ R(c) ≤ 3(150).

Ultimately, the range of the function is; 0 ≤ R (c) ≤ 450.

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We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.

First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.

Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.

We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.

Assume that x mL of water needs to be added.

The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.

The equation for the ultimate concentration can be written as follows:

1.96 mL / (14 + x) mL = 0.07

When we find x and simplify, we get:

x = (1.96 mL / 0.07) - 14 mL

x ≈ 14.86mL

In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.

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A log base 2 calculator calculates the logarithm of a number with respect to base 2.

A tool that helps in calculating a number's logarithm in relation to base 2 is a log base 2 calculators. A base must be increased to the logarithm, or exponent, in order to yield a given number.

The base in this situation is 2, and the exponent to which 2 must be increased in order to equal the supplied number is the logarithm. The base-2 logarithm offers a measure of the number of bits necessary to express a particular amount, making it important in computer science, information theory, and other fields that need computations involving binary integers.

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The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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Answer: 1.65831239518

Step-by-step explanation:

The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as

(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777

The statement that significant figures include only the certain digits of a measurement is False

From the question, we have the following parameters that can be used in our computation:

Statement: significant figures include only the certain digits of a measurement

The above statement is false

This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.

The addiitonal uncertain digit implies that the statement is false

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Answer:

92%

Step-by-step explanation:

Answer:

Step-by-step explanation:

of is *

20% is 1/5

1/5 *2000= 2000/5= 400

Answer:

If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?

Step-by-step explanation:

You're welcome.

As per the total distance, the distance that Yoni drive on Wednesday is option (c) 5/24 miles.

To find out how far Yoni drove on Wednesday, we must first determine the total distance she drove over the two days.

Tuesday, Yoni drove 1/6 of a mile, which can be expressed as 6/24 of a mile. Wednesday, she drove an additional 9/24 of a mile.

This means that, in total, she drove 15/24 of a mile.

Since we already know that Yoni drove 6/24 of a mile on Tuesday, we can subtract this amount from the total distance she drove over the two days to find out how far she drove on Wednesday.

Subtracting 6/24 of a mile from 15/24 of a mile, we get 9/24 of a mile, which is the distance Yoni drove on Wednesday.

Therefore, Yoni drove 5/24 of a mile on Wednesday

Then the correct option is (c).

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