What is the perimeter of this rectangle?
(x, y2)
(X, Y)
(x, y)
(X2, X, )

A ballast resistor is utilized inside the ignition system of automobile engines or balloons. it acts as a resistor for the ignition ballast.

Between the main source of both the ignition coil & the coil stud, there's an ignition ballast resistor. It lowers the ignition coil's risk of failure.

An ignition ballast resistance assists in lowering the coil voltage & coil current when the generator revs the engine.

Minimal current consequently results in a low-temperature increase. Additionally, the ignition coil lives a long time as a result.

However, an ignition system requires a greater voltage that is also the same as the power source's voltage. Therefore, a resistor for the ignition ballast is connected to the jumper wire. The jumper wire additionally supplies the ignition with the necessary voltage when starting the engine.

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The Largest interval in which the solution of the differential equation is defined is (-5, 3).

dy/dt + 2(t + 1)y² = 0 and y(0) = -1/15

Now, dy/dt + 2(t + 1)y² = 0

dy/dt = -2(t + 1)y²

By separating variables

dy/y² = -2(t + 1) dt

Integrating both sides

∫dy/y² = -∫(t + 1) dt

-1/y = -(t²+2t) + c

y(t) = /(t²+2t - c)

We know, y(0) = -1/15

So, -1/15 = 1/(0+0-c)

c = 15

∴ y(t) = 1/(t² + 2t - 15)

Now, y(t) is defined if t² + 2t - 15 ≠ 0

Let t² + 5t - 3t - 15 = 0

(t + 5)(t - 3) = 0

t = -5, 3

So, the intervals are (-∞ , -5), (-5, 3) and (3, ∞)

As t = 0 lies in between (-5, 3) hence the interval in which the solution is defined is (-5, 3)

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

I hope this helps!

Step-by-step explanation:

Please mark brainiest

Answer:

solve 3 bro duh

Step-by-step explanation:

Answer:

Rounds down to 7000.

Step-by-step explanation:

Answer:

discrete

D {1,2,3,4,5,6,7}

R {5,6,7}

function

Step-by-step explanation:

graph is discrete because it is plotted for some values/numbers of input only  

not like a continuous one

D {1,2,3,4,5,6,7} all the inputs  

R {5,6,7} output range

A graph becomes a function if for a given x value there is a distinct/one y value

so here it is a function

The truth value of the statement is false

Given that

The statement "even numbers are divisible by 2" is true

The above statement is a conditional statement and we can calculate the following properties for the statement

In this case, we are to calculate the negation of the statement

When the statement "even numbers are divisible by 2" is negated, we have

The statement "even numbers are not divisible by 2" is not true

In logic expressions,

not true means false

So, the truth value of the statement is false

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Here's the complete chart:

Month  Balance Interest Payment New Balance

0  $1,357.56     -            -          $1,357.56

1 $1,383.54 $23.98 $150 $1,257.52

2 $1,409.62 $26.08 $150 $1,266.06

3 $1,435.81 $27.19 $150 $1,473.61

Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.

Here,

To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:

B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]

where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.

In this case, we have:

B(0) = $1357.56

r = 1.7% per month = 0.017

PMT = $150

n = 3 months

Plugging these values into the formula, we get:

B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]

= $1473.61

Therefore, the new balance by the end of the 3rd month is $1473.61.

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Answer:

4.

a.octagon

b.squertagon

c.triangle

t.b

Answer:

The type of function that the table represents is a radical function because in the table shown there is a pattern, all the roots of ALL the values of x multiplied by 4 results in the value of f(x) therefore, as 100% of values in the table comply with this pattern, we can assert that it is a radical function

Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

Answer:

A- Irregular

B- Neither

C- Irregular

D- Regular

E- Regular

Step-by-step explanation:

So an irregular polygon has sides of varying sizes and angles

A regular polygon has equal sides and equal angles, meaning all sides are the same length

I hope this helps!

Answer:

8 male, 12 female

Step-by-step explanation:

male = x

female = 2x - 4

2x - 4 + x = 20

3x - 4 = 20

3x = 24

x = 8

2(8) - 4 = 12

there are 8 male, 12 female

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Problem

Mark has a rectangular fenced lot for exercising his llama. The lot is currently 60 feet wide by 80 feet long. He is going to double the length of all four sides of the lot. Which statement describes the new area of the lot? The area will be 2 times as large. The area will be 4 times as large. The area will be 3 times as large. The area will be 6 times as large.​

Solution

For this case the original area is given by:

A= 60ft*80ft = 4800 ft^2

And the new area awould be given by:

A = 2*2" 60ft*80ft= 4 *4800 = 4Ai

Then we can conclude that:

The area would be 4 times larger

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

118, 124, 108, 116, 99, 125, 138, 118, 119, 121, 65, 130, 120

Ordered data:

65, 99, 108, 116, 118, 118, 119, 120, 121, 124, 125, 130, 138

1.)

90th percentile :

0.9(n + 1)th term

n = sample size = 13

0.9(14) th term

= 12.6th term

= (12 + 13)th / 2

= (130 + 138) / 2

= 134

Third quartile (Q3) = 75th percentile

0.75(n + 1)th term

n = sample size = 13

0.75(14) th term

= 10.5th term

= (10 + 11)th / 2

= (124 + 125) / 2

= 124.5

What is the first quartile?

First quartile (Q1) :

0.25(n + 1)th term

n = sample size = 13

0.25(14) th term

= 3.5th term

= (3 + 4)th / 2

= (108 + 116) / 2

= 112

(4) What is the 10th percentile?

0.1(n + 1)th term

n = sample size = 13

0.1(14) th term

= 1.4th term

= (1 + 2)th / 2

= (65 + 99) / 2

= 82

(5) 65tb percentile :

0.65(n + 1)th term

n = sample size = 13

0.65(14) th term

= 9.1th term

= (9 + 10)th / 2

= (121 + 124) / 2)

= 122.5

(6) What is the IQR?

Q3 - Q1

124.5 - 112

= 12.5

(7) What are the lower and upper limits?

Maximum = 138

Minimum = 65

Answer:

y=3x+6

Step-by-step explanation:

the equation of a line in

slope-intercept form

is.

xy=mx+b

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

2m

Step-by-step explanation:

got it right on edg

Answer:

2 m

Step-by-step explanation:

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

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

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

.077

.64935

Step-by-step explanation:

Let F= failure

let S= severe

we are given that

p(F|S')= .03

p(F|S)= .5

For the first question we are looking for f

we can solve for it by using the law of total probability

so in theory we want

F∩S+F∩S'

Using the conditional probability formula we can solve for the intersections

.03*.9+.5*.1= .077

2.

For this question we are looking for S|F

to solve this use bayes thereom

\(S|F=\frac{F|S*S}{F|S*S+F|N*N}=\frac{.5*.1}{.5*.1+.9*.03}=.649\) (or 50/77)

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

yes 4000×48=192000

very clever....(dead serious)

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated by mean .

The arithmetic mean, often known as the average, of a dataset is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used index of central tendency, sometimes known as the "mean." This result can be obtained by simply dividing the total number of values in the dataset by the sum of all the values. For calculations, it is possible to use both unprocessed data and data that have been merged into frequency table . Average refers to the average value of a number.

given

By deducting 0.5 from the lower class limit and 0.5 from the upper class limit, the class borders can be calculated.

For each value that belongs to a class, a check mark should be drawn next to it.

(a)200 students ( sum all F top)

(b) 10 (IQ scores van de 10 en 10)

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Given that:

Then, using the rule of three:

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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