Which number is an irrational number?
a. 5.38
b. V19
c. -V16
d. -10

Answer:

a) 1316 dollars

b) 6916 dollars

Step-by-step explanation:

Last year, Goran opened an investment account with 5600. At the end of the year, the amount in the account had increased by 23.5% .

a) How much is this increase in dollars?

The increase on dollars is calculated as:

5600 × 23.5%

= 1316 dollars

b) How much money was in his account at the end of last year ?

The amount of money in his account at the end of last year is calculated as:

Increase + Initial amount invested

=( 1316 + 5600) dollars

= 6916 dollars

Answer:

True

Step-by-step explanation:

A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis. ... The x- and y-axes divide the coordinate plane into four regions. These regions are called quadrants.

The given statement "A plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) is called a quadrant." is true.

A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each delimited by two half-axes.

The given statement "A plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) is called a quadrant." is true.

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Answer:

Step-by-step explanation:

b

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Answer: 6 Is the answer

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

If you turn the shape into a trapezoid, rectangle and triangle you can figure out the area for each one.

1. The area of a rectangle is b⋅h or 7⋅3 and you get 21.

2. The area of a triangle is 1/2⋅bh or 0.5 ⋅ 3 ⋅2 and you get 3.

3. The area of a trapezoid is 1/2(b1 + b2) ⋅ h or 0.5 ⋅ (6 + 3) ⋅ 4 and you get 18.

4. Then you add all areas together(18+3+21) and get 42.

Hope this helps!

Answer:

8 minutes

Step-by-step explanation:

Leo has already run 1 mile, leaving him with 4 more to finish the race. At 2 minutes a mile (a ridiculously impressive pace, considering the world record mile time is just a little under 3:45), it will then take him 4 x 2 = 8 minutes to cross the finish line.

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).

The first step is to determine the number of each type of box shape that would be needed for the pencils.

Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box

Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes

Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box

Number of cylindrical boxes that would be needed = 2400 / 80 = 30

Now determine the total cost of using each type of box shape.

Total cost of using the  cylindrical boxes = 30 x 0.75 = $22.50

Total cost of using the  rectangular prism boxes  = 40 x 0.50 = $20

Difference in cost = $22.50 - $20 = $2.50

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Answer:

^^ A on edge

Step-by-step explanation:

A bundle branch block is an abnormality in the electrical conduction system of the heart that can be seen on an electrocardiogram (ECG).

The heart's electrical impulses normally travel through the atria and then down through the ventricles, causing them to contract and pump blood. However, in the presence of a bundle branch block, the electrical impulses are slowed or blocked as they travel through one of the two main branches of the heart's conduction system, the left or right bundle branch.

This results in a characteristic pattern on the ECG, where the QRS complex (the wave representing ventricular depolarization) is widened and has an abnormal shape. The QRS complex may be wider than 120 milliseconds, and its shape may appear notched or slurred.

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Answer:

8+2w=y

Step-by-step explanation:

A sample proportion that would be used to find a  confidence interval for the population proportion is; option D: 0.168

The formula for confidence interval for proportions is;

p^ ± z√(p^(1 - p^)/n)

where;

p^ is sample proportion

z is z-score at confidence level

n is sample size

Now, the sample proportion is a term in statistics that describes the proportion of individuals in a sample that possess a certain characteristic. The way we find the sample proportion, is by dividing the number of people who have the specific characteristic of interest by the total number of people in the sample.

Thus;

p^ = X/n

In this case, we have;

X = 347

n = 2070

Thus;

p^ = 347/2070

p^ = 0.168

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Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

Therefore, the solution to the system of equations is x = 8 and y = 23.

An equation is a statement that shows the equality between two mathematical expressions using symbols, numbers, and/or variables. Equations are used to describe relationships between different quantities, and they are commonly used in many fields, including mathematics, physics, chemistry, engineering, and economics.

by the question.

Let's solve the first equation for y:

y = 3x - 1

Now we substitute this expression for y in the second equation:

2x + 7 = y

We can substitute 3x - 1 for y in this equation:

2x + 7 = 3x - 1

Now we can solve for x:

2x - 3x = -1 - 7

-x = -8

x = 8

Now we can substitute x = 8 into either equation to solve for y. Let's use the first equation:

y = 3x - 1

y = 3(8) - 1

y = 24 - 1

y = 23

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There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

Answer:

c i think sorry if im wrong

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

4 - 1.5 = 2.5

You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.

Answer:

I think the answer is 30. Hope this helps!

Step-by-step explanation:

a) f'(x) = sin(x) + 9.

b) f(x) = -cos(x) + 9x + 12.

To find f'(x), we integrate f''(x):

f'(x) = ∫ cos(x) dx = sin(x) + C

To find C, we use the given initial condition f'(pi/2) = 10:

sin(pi/2) + C = 10

C = 10 - 1 = 9

Therefore, f'(x) = sin(x) + 9.

To find f(x), we integrate f'(x):

f(x) = ∫ (sin(x) + 9) dx = -cos(x) + 9x + D

To find D, we use the given initial condition f(pi/2) = 11:

-cos(pi/2) + 9(pi/2) + D = 11

D = 11 + 1 = 12

Therefore, f(x) = -cos(x) + 9x + 12.

Integration is a mathematical technique that calculates the area under a curve, or the accumulation of a quantity over a range, by summing up infinitesimally small values of that quantity. It is the inverse operation of differentiation and is used in various fields of science and engineering.

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Answer: LM = 11

because L is between N and M => we have:

NL + LM = NM

⇔ 6x - 5 + 2x + 3 = 30

⇔ 8x -2 = 30

⇔ 8x = 32

⇔ x = 4

with x = 4, => LM = 2.4 + 3 = 11

Step-by-step explanation:

Answer:

---------------------------------

It is assumed the provided numbers are the zero's of the polynomial function.

We know complex zero's come in pairs if function has rational constants.

So we should have zero's: 8, 3, -i and i.

Find the polynomial:

The perimeter of shape ABCD, with coordinates A(-3, 5), B(2, 6), C(0, 2), and D(-5, 1), is approximately 22.8 units.

To find the perimeter of shape ABCD, we need to calculate the sum of the lengths of its sides. Starting from point A(-3, 5) to point B(2, 6), we can use the distance formula to find the length of side AB. Similarly, we can find the lengths of sides BC, CD, and DA. Adding up all the side lengths gives us the perimeter.

Calculating the length of side AB:

AB = \(\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }\)

= \(\sqrt{(2-(-3 ))^{2}+(6-5 )^{2} }\)

= \(\sqrt{5^{2}+1^{2} }\)

= \(\sqrt{25+1}\)

= \(\sqrt{26}\)

≈ 5.1

Similarly, we can find the lengths of sides BC, CD, and DA:

BC ≈ 5.0

CD ≈ 7.8

DA ≈ 5.1

Summing up all the side lengths: AB + BC + CD + DA ≈ 5.1 + 5.0 + 7.8 + 5.1 ≈ 22.8.

Therefore, the perimeter of shape ABCD, rounded to the nearest tenth, is approximately 22.8 units.

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The expected value of the cash prize at the fundraiser is $2.

The expected value can be calculated by multiplying the probability of each outcome by its corresponding monetary value, and then summing up these values. In this case, the probability is determined by the number of tickets sold, and the monetary value is the cash prize.

To find the expected value, we need to calculate the product of the probability and the cash prize for each possible outcome. Since there are 1700 tickets sold, each with a $9 price, the probability of winning the cash prize is 1/1700. Therefore, the expected value can be calculated as:

Expected Value = (Probability of winning) * (Cash prize)

= (1/1700) * $3400

= $2

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There is a minimum value of -81 located at (x, y) = (6, -3).

The function given to us is f(x, y) = 3y² - 3x².

The constraint given to us is 2x + y = 9.

Rearranging the constraint, we get:

2x + y = 9,

or, y = 9 - 2x.

Substituting this in the function, we get:

f(x, y) = 3y² - 3x²,

or, f(x) = 3(9 - 2x)² - 3x² = 3(81 - 36x + 4x²) - 3x² = 243 - 108x + 12x² - 3x² = 243 - 108x + 9x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = - 108 + 18x ... (i)

Equating to 0, we get:

- 108 + 18x = 0,

or, 18x = 108,

or, x = 6.

Differentiating (i), with respect to x again, we get:

f''(x) = 18, which is greater than 0, showing f(x) is minimum at x = 6.

The value of y, when x = 6 is,

y = 9 - 2x,

or, y = 9 - 2*6 = 9 - 12 = -3.

The value of f(x, y) when (x, y) = (6, -3) is,

f(x, y) = 3y² - 3x²,

or, f(x, y) = 3*(-3)² - 3*6² = 3*9 - 3*36 = 27 - 108 = -81.

Thus, there is a minimum value of -81 located at (x, y) = (6, -3).

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Answer:

B

Step-by-step explanation:

because that is were you plot it on the number line

Answer:

B

Step-by-step explanation:

Got it right on my test.

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal=  £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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