The product of three and a number decreased by ten is thirteen

The number of buttons that she can wear proudly will be 5.

The ratio is the division of the two numbers. In reality, ratios and proportions are only two sides of the same coin. A proportion is what results when two ratios are equal. Typically, fractions are used to define ratios and proportions. A ratio is created when we use the symbol ":" to denote a fraction, and a percentage is created when we use "::" to represent two ratios.

For example,

a/b, where a and b represent the numerator and denominator, respectively.

The relationship between two variables is called a proportion.

As per the given question,

Cost of one button = $0.28

The cost of buttons that she can wear = $1.40

A number of buttons = $1.40/$0.28 = 5

The number of buttons that she can wear proudly will be 5.

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To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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Answer:

7x+3

Step-by-step explanation:

7x7x7+3

=222

= lol i need points.

The linear model that could be used to determine which plan would be less expensive based on the number of visits he makes is given as follows:

Second graph (top right graph, where the two lines intersect).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For the plan with the set price, we have that:

Hence it costs less for a lower number of visits.

For the plan with the set price plus the fee, we have that:

Hence it costs less for a higher number of visits.

Meaning that the second graph is the correct graph in this problem.

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Answer:

3.44571

Step-by-step explanation:

look at the number to the right of the decimal. if the number is higher than or is 5 round the number up, but if the number is less than 5 it will stay the same.

The number after rounding off to nearest hundred-thousandth or  5 decimal places will be -

3.44571

We have the following number - 3.44570830811

We have to round it of nearest hundred-thousandth or 5 decimal places.

Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. For example - 53 rounded to the nearest ten is 50.

According to the question, we have the following number -

3.44570830811

Rounding it off One by one until we get 5 digits after decimal -

R1 -  3.44570830811

R2 - 3.4457083081

R3 - 3.445708308

R4 - 3.44570831

R5 - 3.44570831

R6 - 3.4457083

R7 - 3.445708

R8 - 3.44571

Hence, the number after rounding off to nearest hundred-thousandth or  5 decimal places will be -

3.44571

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Answer:

Solution and how to convert 8 / 21 into a percentage

0.38 times 100 = 38.1. That's all there is to it!

Step-by-step explanation:

hope this helps

Answer:

7 times 10 equals 70

Step-by-step explanation:

70 divided by 7 equal 10 and 70 divided by 10 equal 7

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:1

Step-by-step explanation:

The line crosses in the y intercept at the 1 place

QR = 117. Given that QR = 9x, RS = 8x + 2, and QS = 16x + 14. We need to find QR. The sum of two sides of a triangle is always greater than the third side.

Considering that QR = 9x, RS = 8x + 2, and QS = 16x + 14.

Locating QR is necessary.

In a triangle, the total of the first two sides always exceeds the sum of the third side.

Using the triangle inequality property for the triangle QRS,

we have QR + RS > QS9x + (8x + 2) > 16x + 149x + 8x + 2 > 16x + 14 (on simplifying).

17x + 2 > 16x + 14 (on simplifying)17x - 16x > 14 - 2 (on transposing) x > 12 .

(i) So, the value of x should be greater than 12.

The value of QR = 9xPutting the value of x from equation.

(i)9 × 13QR = 117

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\( \large \bf \implies{105.12 \: {ft}^{2} }\)

\( \bf{Semi \: rectangle \: = \: length \: × \: width }\\ \\ \bf{Semi \: circle \: = \: \pi{r}^{2} } \: \: \: \: \: \: \: \bigg [r = \frac{d}{2} \bigg ] \\ \\ \bf{ S \: = \: 8 \times 10 + \frac{1}{2} \times \pi \times \bigg( \frac{8}{2} \bigg)^{2} } \\ \\ \bf{= 80 + \frac{1}{2} \times 3.14 \times {4}^{2} }\: \: \: \: \: \: \\ \\ \bf{= 105.12 \: {ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

We can divide the area in two parts :

= length x width

= 10 × 8 ft²

= 80 ft²

Now, diameter of the semicircular part = 8 ft

= \(\bf\frac{diameter}{2}\)

= \(\bf\frac{8}{2}\) ft

= 4 ft

\(\bf{= \frac{1}{2} \times \pi \times radius^2}\)

\(\bf{= \frac{1}{2} \times 3.14 × 4^2 ft^2}\)

\(\bf{= 25.12 \: ft^2}\)

= Area of the left rectangular part + Area of the right semicircular part

\( \bf{= 80 \: {ft}^{2} + 25.12 \: {ft}^{2}} \)

\( \bf{= 105.12 \: {ft}^{2} }\)

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

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Answer:

daylilies - $12; ivy - $7

Step-by-step explanation:

one way to answer this question is by using two equations

first write your let statements

let d be daylilies and let i be ivy

7d + i = 91

7d + 3i = 105

then you can subtract the equations

you get -2i = -14

then divide eveything by -2

i = 7

ivy costs $7

lastly plug this into an equation

7d + 7 = 91

7d = 84

d = 12

daylilies cost $12

The remainder for the given polynomial is 9

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division (No division operation by a variable). It is a function that only uses non-negative integer powers or positive integer exponents of a variable

Given f(x) = 4x^6+ x^4+4

Now f(x-1) = 0

X= 1

Substitute the x value in the function

f(x) = 4x^6+ x^4+4

f(x) = 4(1)^6+ (1)^4+4

f(x) = 4+ 1+ 4

f(x) = 9

Therefore the remainder for the given polynomial is 9

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Answer:

Total Cost:
1.77, 2.95, 4.72, 5.9

BRAINLIEST, PLEASE!

Step-by-step explanation:

2.36 x 0.75 = 1.77

2.36 x 1.25 = 2.95

2.36 x 2 = 4.72

2.36 x 2.5 = 5.9

Answer:

A.) 1/6

Step-by-step explanation:

3/8 x 4/9 = 12/72 ---> 1/6

Large sample size gives more accurate information about population.

The main advantages of Large sample size is :

1. Large sample size provide stronger and more reliable information about parent population.

2. It will help researcher to capture outliers and sweeping out in sample.

3. Measuring large sample size allows one to divide the sample into segments .

4. Large sample size helps in obtaining a quality and precise mean .

Some disadvantages of Large sample size is :

1. Large sample size will be time consuming and more expensive to work with

2. It require higher financial involvement to complete the survey.

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The volume of this cylinder is equal to 675 cm².

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = πr²h

Volume of a cylinder, V = 3 × 5² × 9

Volume of a cylinder, V = 3 × 25 × 9

Volume of a cylinder, V = 675 cm².

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By the principle of mathematical induction, we have cn < n! for all n ≥ 3.

We will use mathematical induction to prove that cn < n! for n ≥ 3.

Base case: For n = 3, we have c3 = 3 · c1c = 3 · 1c/2. Since c is a positive integer, c/2 ≤ c, so 1c/2 ≤ 1c. Therefore, c3 < 3 · 1c = 3! = 6.

Inductive step: Assume that cn < n! for some k ≥ 3. We need to prove that ck+1 < (k+1)!

We have:

ck+1 = (k+1) · c(k+1)/2c

Since k+1 is even, we can write k+1 = 2m for some positive integer m. Therefore, we have:

ck+1 = (k+1) · c(k+1)/2c = (2m) · c2m/2c = m · c2m/2c · 2m

By the induction hypothesis, we have c2m/2c < (2m)! for m ≥ 2. Therefore, we can write:

ck+1 = m · c2m/2c · 2m < m · (2m)! · 2m

We have:

m · (2m)! · 2m = (m · 2m) · (2m)! = (k+1)!,

where the last equality follows from k+1 = 2m. Therefore, we have shown that ck+1 < (k+1)!, completing the inductive step.

By the principle of mathematical induction, we have cn < n! for all n ≥ 3.

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Answer:d

Step-by-step explanation:

The function which represents the number of tickets remaining after x hours is b. y = -3,000x + 12,000.

A function can be defined as the values of the inputs for which the output is defined. The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

From the given graph we can observe that every hour 3000 tickets were sold.

Assuming hours to be x and tickets remaining at any time is represented

by y and as the tickets were sold we can denote it with a negative sign.

∴ The function which represents the number of tickets remaining after x hours is,

y = -3000x + 12000.

To check whether our function is correct or not we can put any value of x from 1 to 4 in our function.

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To find where p is increasing, we must decide where p' = 1.7p(1 − p/5600) is positive. Assuming that p > 0 always, then we need (1 − p/5600) > 0. Therefore, p' is positive whenever p < 5600.

In other words, the function p is increasing whenever the value of p is less than 5600. This is because the derivative p' is positive in this range, meaning that the function p is increasing. As soon as p reaches 5600, the derivative p' becomes negative, meaning that the function p is decreasing.

So, the answer is that p is increasing whenever p < 5600.

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The matches between the angles of rotation and the resulting vector matrices are:

1. 45 degrees: [7√2, 7√2]

2. 90 degrees: [2, -2]

3. 180 degrees: [-6, 2]

To determine the resulting vector matrices after rotating the vector [6, -2] at different angles, we need to apply rotation matrices. The rotation matrix for a given angle θ is:

R(θ) = [cos(θ), -sin(θ)]

[sin(θ), cos(θ)]

Now, let's match the angles of rotation with the corresponding vector matrices:

1. 45 degrees:

R(45°) = [√2/2, -√2/2]

[√2/2, √2/2]

The resulting vector matrix after rotating [6, -2] by 45 degrees is:

[√2/2 * 6 + -√2/2 * -2, √2/2 * -2 + √2/2 * 6] = [7√2, 7√2]

2. 90 degrees:

R(90°) = [0, -1]

[1, 0]

The resulting vector matrix after rotating [6, -2] by 90 degrees is:

[0 * 6 + -1 * -2, 1 * -2 + 0 * 6] = [2, -2]

3.180 degrees:

R(180°) = [-1, 0]

[0, -1]

The resulting vector matrix after rotating [6, -2] by 180 degrees is:

[-1 * 6 + 0 * -2, 0 * -2 + -1 * 6] = [-6, 2]

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Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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Answer:

322 ft squared

Step-by-step explanation:

formula = (a+b)×h

2

35+11 = 46

46×14 = 644

644÷2= 322

Answer:

Impossible: Pigs can fly. It will rain in the Sahara Desert for a week.

Probability is the likelihood that an event will happen.

Unlikely: It will snow today. Dying in a shark attack.

Likely: If you are underwater for more than 2 minutes, you drown. A cat chases a mouse.

Certain: The year is 2023.

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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