every integer is a rational number. true or false

Answer:

b = 9.2 (Rounded to the nearest tenth)

Step-by-step explanation:

ABC is a right-angled triangle at B.

Then ,according to the Pythagorean theorem:

\(b = \sqrt{a^2 + c^2}\)

  \(= \sqrt{6^2 + 7^2}\)

 \(= \sqrt{36 + 49}\)

 \(= \sqrt{85}\)

 \(=9.219544457293\)

Answer:

answer should be a

Step-by-step explanation:

i just had that question and the answer was a hope it helped

Answer:

Answer is B

just took the quiz hope it helps :3

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

It is given that two triangles that are JKL and MNP are considered in which:

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

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Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

Answer:

The height of the triangle would be

5

√

15

c

m

or

19.36

c

m

Step-by-step explanation:

Answer:

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

m∠2 = m∠3 (vertically opposite angles)

m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

If your parents are buying a house for $187,500. The amount of  interest that is paid at the end of the second month is $997.60.

First installment = $187,500 × 20%

First installment = $37,500

Loan amount = 187,500 − $37,500

Loan amount =$150,000

Monthly rate = 4.65% / 12

Monthly rate = 0.3875 %

First month interest payment:

Interest rate =$150,000 ×0.3875 %

Interest rate = $581.25

Loan repayment amount:

Loan repayment = $1,575− $581.25

Loan repayment = $993.75

Amount the parents owe:

Amount owe =$150,000 − $993.75

Amount owe = $ 149,006.25

Second month the amount of payment

Amount of payment =$149,006.25 × 0.3875

Amount of payment = $577.40

End of  Second month interest:

Interest = $1,575 − $577.40

Interest =$997.60

Therefore the interest is $997.60.

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Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

Answer: 4.125

Step-by-step explanation:

2+3/4= 2.75

2.75•1.5= 4.125

The percentages budgeted for all categories is 14.06%

A total of $900 seems to be spent on various health-related expenses:

medication costs, health club dues, and health insurance

seeing a doctor

If we go back in time, we can observe that the rate of doctor visits is double that of prescriptions, which is half that of health insurance,

which is 1/4 times that of health club dues.

As a result, if we consider x to be health club dues, health insurance is included.

4x medical visits, medicines, and health club dues 2x \s

sums to $900 = 8

The amount set up for health insurance is thus $112.5.

112 .5 * 12.5% = 14.06%

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The size of the expresssion 2x + 5 - 3x when x = 4 is 1.

Given the expression in the question:

2x + 5 - 3x

Also, x = 4

The expression 2x + 5 -3x is an algebraic expression that involves the variable x.

When we substitute x = 4 into the expression, we replace every occurrence of x with 4.

Hence

2x + 5 -3x

Replace x with 4

2(4) + 5 - 3(4)

8 + 5 - 12

Add 8 and 5

13  - 12

Subtract 12 from 13

1

Therefore, when x=4, the size of 2x + 5 - 3x is 1.

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Answer:

\(\boxed {\boxed {\sf y= -7x -30}}\)

Step-by-step explanation:

We are asked to find the equation of a line,  given a point and a slope.

We can use the point-slope formula:

\(y-y_1= m(x-x_1)\)

In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:

Substitute the values into the formula.

\(y-5= -7 (x- -5)\)

\(y-5= -7(x+5)\)

We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.

First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.

\(y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35\)

5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.

\(y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30\)

The equation of the line is y= -7x+30.

The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is

A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now the value of the equation A is

The equation A is expressed as 3 (x minus 1.25) = 11.25

Substituting the value in the equation , we get

A = 3 ( x - 1.25 ) = 11.25

3 ( x - 1.25 ) = 11.25

On simplifying the equation , we get

Divide by 3 on both sides, we get

x - 1.25 = 3.75

Adding 1.25 on both sides of the equation , we get

x = 5

So, the value of x is 5

Hence , The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is  A = 3 ( x - 1.25 ) = 11.25

The value of the equation is 5

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Answer: Tobin should have divided by 3

Step-by-step explanation: I took the test please mark brainliest

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

2,206

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer: 3/4

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

1365 batting orders  are possible for the game.

Given,

In the question:

In a cricket match, you have a squad of 15 players and you need to select 11 for a game.

To find the how many batting orders are possible for the game?

Let's Know:

What are combination?

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

ⁿCr = n! / ((n – r)! r!

n = the number of items.

r = how many items are taken at a time.

Substitute the values in above formula :

15! / 11! (15 - 11)!

= 15! / 11! 4!

= 15 × 14 × 13 × 12 / 4 × 3 × 2

= 1365 orders

Hence, 1365 batting orders  are possible for the game.

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Answer:

the value of x is 3

Step-by-step explanation:

Hope this helps!!!! :)

Answer:

one is a

two is c

three is b

Step-by-step explanation:

Answer:

8 meters

Step-by-step explanation:

Since the 4 sides of a square are all equal, the area of a square can be found using:

a=s*s or

a=s^2

We know that the area is 64 square meters, so we can substitute 64 in for a

64=s^2

We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.

\(\sqrt{64}=\sqrt{s^2}\)

8=s

So, one side of the backyard is 8 meters

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

to find the y- intercept, the point where the line crosses the y- axis.

Any point on the y- axis has an x- coordinate of zero.

let x = 0 in the equation and solve for y

- 4(0) + 7 = 2y - 3

0 + 7 = 2y - 3

7 = 2y - 3 ( add 3 to both sides )

10 = 2y ( divide both sides by 2 )

5 = y

then y- intercept = (0, 5 )

to find the x- intercept, the point where the line crosses the x- axis.

Any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x

- 4x + 7 = 2(0) - 3

- 4x + 7 = 0 - 3

- 4x + 7 = - 3 ( subtract 7 from both sides )

- 4x = - 10 ( divide both sides by - 4 )

x = \(\frac{-10}{-4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\)

then x- intercept = ( \(\frac{5}{2}\), 0 ) or (2.5, 0 )

Answer:

100 feet long

Step-by-step explanation:

Answer:

length of second rectangle is

100 feet

Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators