What is the domain and range for this function?

The correct option when Triangle ABC is transformed to triangle A′ B′ C is A.The measure of angle BCA = The measure of angle C prime A prime B prime.

Triangle ABC is changed into triangle A′B′C′ and on the x- and y-axes, a coordinate grid ranging from -4 to -4 to 4 is displayed. A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0 in the triangle ABC.

A triangle Primes A, B, and C have A prime is at ordered pair minus 1, minus 3, B prime is at ordered pair minus 0, and C prime is at ordered pair minus 3, 0.

A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

Therefore,

<BAC = <B'A'C'

<ABC = <A'B'C'

<ACB = <A'C'B'

In this case, the correct option is A.

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The setup cost for printing the math workbooks, given the printed cost of the books, is $ 1, 800

The setup cost for printing the math workbooks is a fixed cost which means that it will not change regardless of the number of books that are printed.

Since we know that 1, 000 books are printed to be $ 14, 300 and that 5, 000 books cost $ 64, 300, we can find the cost of the books without the setup cost to be :

= Difference in cost of books / ( Difference in number of books )

= ( 64, 300 - 14, 300 ) / ( 5, 000 - 1, 000 )

= 50, 000 / 4, 000

= $ 12. 50

The setup cost is therefore :

= Cost of printing -  (Number of books x cost per book )

= 14, 300 - ( 1, 000 x 12 .5)

= $ 1, 800

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The value of missing number in the table is, 17

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table is shows the cost of gallon of gas in dollars.

Now, From the table we get;

The equation that satisfy the given conditions is,

⇒ y = 1.05x

Where, 'x' is gallons of gas and 'y' is cost of gallon of gas.

Hence, For the cost (y) 17.85 dollars, number of gallons of gas are,

⇒ y = 1.05x

⇒ 17.85 = 1.05x

⇒ x = 17.85/1.05

⇒ x = 17

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It is not possible to construct a triangle whose sides are 5cm ,5cm and 10cm , because the sum of two sides is not greater then third side .

For any three sides to form a triangle , it should satisfy the condition that , the sum of any two sides should must be greater than the third side .

We apply this condition on the given sides ,

we get ;

the sides of the triangle are  ⇒ 5cm ,5cm and 10cm ;

the sum of sides : 5 + 5 = 10 which is not greater than the third side (10cm) ;

these sides do not satisfy the condition ,

Therefore , the condition to form the triangle is not satisfied , so the triangle cannot be constructed .

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[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} -›}[/tex]

Step-by-step explanation:

Answer:

(5, 0)

Step-by-step explanation:

The slope of the first line is -(-1 / 1) = 1.

The slope of the second line is -(3 / 5) = -3/5.

Since the lines have different slopes, they intersect at a single point. Therefore, there is only one solution. To find it, solve the system of equations.

Using elimination, multiply the first equation by 3 and add it to the second.

-3x + 3y = -15

3x + 5y = 15

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

8y = 0

y = 0

Using substitution, find x:

-x + 0 = -5

x = 5

The solution is (5, 0).

A graphical plot with sales on the Y axis and time on the X axis is a:

a. Scatter diagram.

Using a single variable on each axis, the scatter diagram plots pairings of numerical data in an effort to identify any relationships between them. A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the more highly correlated the data is. You may also visualise the strength of any relationship. If the researcher believes there may be a correlation, a line of greatest fit can also be drawn on the graph.

Data points are shown on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

Thus, correct option: a

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On solving the provided question, we can say that The pieces were dangerous to interests in national security

Simple interest is calculated by dividing the principal by the interest rate, the passage of time, and other elements. The formula used in marketing is simple return = principal + interest + hours. Using this approach, interest may be calculated most easily.

The pieces were dangerous to interests in national security . A general who opposed the US involvement in Vietnam sent the Times a number of documents from 1971 that have come to be known as the "Pentagon Papers." On the basis of security concerns, the US attempted to prevent them further dissemination but failed.

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The probability that four marbles are chosen from the jar with the replacement and that they are all white is p^4 (p raised to the fourth power).

If four marbles are chosen from a jar with replacement, the probability that they are all white is (probability of drawing a white marble)^4.

If the marbles are chosen with replacement, the probability of choosing a white marble on any one draw is the same as the proportion of white marbles in the jar. Let's call this probability p. The probability that all four marbles chosen are white is p^4 (p raised to the fourth power).

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Answer:

First and last one

Step-by-step explanation:first and last one

[tex] \frac{5a}{r} \: - 2 = y[/tex]

Step-by-step explanation:

A = r(y +2) /5

A×5 = r(y+2)

(5A)/r = y+2

(5A)/r - 2 = y

•: y = (5A)/r - 2

(only applicable when

[tex]a = \frac{ry + 2r}{5} [/tex]

expand)

Answer:

Step-by-step explanation:

One fraction that is smaller than 5/8 id 4/8, 3/8, 2/8, of 1/8; by decreasing the amount out of eight, you are reducing the fraction. Another way to make a fraction smaller is by increasing the denominator, increasing the denominator allows you to have tthe same amount out of a bigger total: 5/9, 5/10, 5/11, 5/12, 5/13, and so on.

Answer: 1/10

Step-by-step explanation: 5/8 = .625 > .100 = 1/10

Answer:

294

Step-by-step explanation:

We will take our equation, and substitute in 7 for s, wherever we see it, so we have:

[tex]6 * 7^{2}[/tex]

Simplifying, we have:

[tex]6 * 49[/tex]

Which finally we multiply to:

6 * 49 = 294

So, your answer is 294.

Hope this helped!

Answer: acute-angled triangles.

Step-by-step explanation:

Equilateral Acute Triangle. An equilateral acute triangle is that type of acute triangle that has all its interior angles measuring 60°.

Isosceles Acute Triangle.

Scalene Acute Triangle

There are 7!/3! ways for 8 people to sit around a circular table if Alice, Bob, and Eve do not want to sit next to each other.

Rotation is the process of rotating an object in two or three dimensions around an axis. This axis can be a point in space, a line, or a plane. Rotation can also refer to a continuous change of direction, such as the rotation of the Earth around its axis. Rotation can be described using terms such as clockwise, counterclockwise, and angular velocity. Rotation can also be described using mathematical equations, such as Euler's rotation theorem. Rotation can be used to create symmetry in design, or to create motion in an animation.

This is because we can pick any of the 7 people to be seated first, then any of the 6 people to be seated second, then any of the 5 people to be seated third, and so on. However, since Alice, Bob, and Eve do not want to sit next to each other, we must divide the 7! by 3! to account for the fact that the order in which Alice, Bob, and Eve are seated does not matter. The 3! accounts for the fact that we could arrange the three of them in 3! = 6 different orders. Therefore, the total number of ways for 8 people to sit around a circular table if Alice, Bob, and Eve do not want to sit next to each other is 7!/(3!) = 840 ways.

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Answer:

Substitute x = 11 to x + 4, you get,

11 + 4 = 15

Thanks

[tex]x+4[/tex] when x is equal to 11

Evaluate:

[tex](11)+4[/tex]

[tex]=15[/tex]

Answer:

p

Step-by-step explanation:

no of dimes you have =17

no of dimes your brother have=8

now

no of dimes more you have save =17-8

=9

hence you have saved 9 more dimes

Answer:

Two like terms in the expression 4x + 5 + 11x are 4x and 11x. Both terms have the variable x, and the coefficients (4 and 11) are just numbers and do not affect the variable. Like terms can be combined by adding or subtracting the coefficients and leaving the variable the same.

Answer:It is 4x and 11x!

Step-by-step explanation: Since they have same variables, they are like terms.

We can conclude from the given problem that there are 7975/5 - 1595 different positive numbers f(a) smaller than 1992, 1991-1595 = 396 positive integers.

Integers can be anything from zero to a positive or negative number signified by a minus sign. A lower result is its corresponding positive number's additive reciprocal. In mathematical notation, an integer group is usually denoted by a bold Z or perhaps a bold "mathbb Z." An integer, unlike a fraction, is a positively, negative, or zero number (pronounced IN-tuh-jer). Examples of integers are the integers -5, 1, 5, 8, 97, & 3,043. Examples of non-integer numbers include 1.43, 1 3/4, 3.14, and also more. A group of integers is known as an integer.

Here,

imagine a number of zeros! be

=> f(a), where f(a) = a/5, a/25, a/125, a/625, etc.

Since

f(a) a/5 + a/25 + a/125 + a/625 +...,

=> f(a) = f(a+1) = f(a+2) = f(a+3) = f(a+4). = a/4

=>f(7975) = 1991

1992 is less than 7975/5 - 1595 different positive numbers, hence 396 positive integers are present.

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Andrew's initial deposit will grow to about $543 in 7 months.

You can use the formula A = P * e^(rt) to calculate this, where A is the final amount, P is the initial deposit, r is the interest rate, and t is the time in years. The equation for "continual" growth (or decay) is A = Pert, where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

A = P * e^(rt)

Plug in the given values:

A = $543

P = $500

r = 0.065 (6.5% expressed as decimal)

Solving for t:

t = ln(A/P) / r

t = ln(543/500) / 0.065

t = 0.07 ( 7 months)\

Therefore, Andrew's initial deposit will grow to about $543 in 7 months.

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Plan V is a mobile phone plan that costs $10.00 per day, or $40.00 per month. The plan includes 100 texts. If the customer goes over the 100 included texts, they will be charged $0.50 for each additional text. The plan also includes 100 minutes of talk coverage, but if the customer goes over the 100 minutes, they will be charged $0.99 per additional minute. Additionally, the plan includes 100 MB of data, but if the customer goes over the 100 MB, they will be charged $2.05 per additional MB.

It will take 5.01 years for Mantago to repay the money that he would borrow.

Assume that it will take 't' years for Mantago to repay the money that he would borrow.

Here, we use monthly cashflow formula:

[tex]C=P\times r\times \frac{(1+r)^{12t}}{(1+r)^{12t} - 1}[/tex]

where, P is loan amount

r is ARM(adjustable-rate mortgage) interest rate

C is monthly cashflow

here, R = 7.5%

So, r = 0.075

For monthly payment the interest rate would be r = 0.075/12

i.e., r = 0.00625

P = 10000

C = 200

We need to find the number of years t.

[tex]200=10000\times 0.00625\times \frac{(1+0.00625)^{12t}}{(1+0.00625)^{12t} - 1} \\\\200=62.5\times \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}\\\\ \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}=3.2\\\\(1.00625)^{12t}}=[(1.00625)^{12t} - 1]\times 3.2\\\\(1.00625)^{12t}-3.2(1.00625)^{12t}=-3.2\\\\-2.2(1.00625)^{12t}=-3.2\\\\(1.00625)^{12t}=1.4545[/tex]

[tex]12t=60.13\\\\t=5.01\\\\t \approx 5[/tex]

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The area of a regular octagon inscribed in a circle of radius 4 meters is 45.255 square meters. So, option C is correct

An octagon is a polygon with 8 sides, and a regular octagon has all sides of equal length. To find the area of a regular octagon inscribed in a circle of radius 4 meters, we can use the formula:

Area = (2 * (4^2) * (1 + sqrt(2))) / (4 * tan(pi/8))

Plugging in the values we get:

Area = (2 * (4*cos(pi/8))^2 * (1 + sqrt(2))) / (tan(pi/8)) = 16 * (1 + sqrt(2)) * (sqrt(2) / sqrt(2+ sqrt(2)))

        = 8 * 1/2 * 4 * 4 * sin45°

        = 32√2

        = 45.255 square meters.

Therefore, the area of a regular octagon inscribed in a circle with a radius of 4 meters is 45.255 square meters.

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Answer:

119 eggs

Step-by-step explanation:

To start off, we know that this number has to be of some multiple of 7. Because if the eggs are taken out 7 at a time, and no eggs are left over, then the total number of eggs can be divisible by 7. Because there is however a multiple if you take out the eggs 2-6 times, there are eggs left over. The smallest multiple of 7 we can test is simply 7. To check, we can start with dividing 7 by 6 and getting a remainder of 1 instead of 5. So we know that 7x1 doesn't work.

The next smallest multiple of 7 that isn't multiplied from 2-6 is 7x7 to get 49. from here we can check that 49/6 = 8 r1 (r meaning remainder). So we know that 7x7 can't work. From here, the next smallest number would be 7x11.

7x11 = 77. 77/6 is 12 r5. This so far looks good. Now we can try 5. 77/5 = 15 r2. This doesn't work, so we try the next largest number which is 7x13 which is 91.

91/6 = 15 r1 which doesn't work. Next we try 7x17 which is 119. 119/6 is 19 r5 (looks good), 119/5 = 23 r4 (looks good), 119/4 is 29 r3, 119/3 is 39 r2, and 119/2 is 59 r1! Which means our answer is that the least number of eggs in the basket is 119.

Using mathematical operations, we know that Bakery B makes 209/28 more cake than Bakery A per hour.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

Scalars in MATLAB can be multiplied, divided, added to, subtracted from, multiplied by, and have exponents applied to them.

These operators can be used to arrange calculations involving vectors and matrices in a straightforward manner.

So, bakery A:

4 1/4 cake in 4 hours.

16+1/4

17/4 cake in 4 hours

Bakery B:

11 5/7 cake in 3 hours:

77*5/7

82/7 cake in 3 hours

Then, Bakery A: 17/4 * 7/7 =  119/28

Bakery B: 82/7 * 4/4 =  328/28

More, cake by Bakery B:
328/28 - 119/28

209/28

Therefore, using mathematical operations, we know that Bakery B makes 209/28 more cake than Bakery A per hour.

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Step-by-Step Explanation:

[tex]x + \frac{2}{5} = \frac{1}{3} \\ = > x = \frac{1}{3} - \frac{2}{5} \\ = > x = \frac{5 - 6}{15} \\ = > x = \frac{ - 1}{15} [/tex]

Answer:

A) x = -1/15

Answer:3.41

Step-by-step explanation:it is pie

Answer: 1.5x + 12.3

Step-by-step explanation:

(3x + 5.3) + (7 - 1.5x)

Since this is not multiplication, try arranging the equation so like terms are together.

3x - 1.5x + 5.3 + 7 =

Combine like terms by adding or subtracting.

3x - 1.5x + 5.3 + 7 = 1.5x + 12.3

The equation must satisfies the Kent calculation is k² - 8k + 12 = 0

The term equation in math is called as a mathematical expression that contains an equals symbol.

Here we have given that Kent multiplies both sides of the equation below by an expression.

And then he moves all the terms to one side of the equal sign in the resulting equation.

Here we have the given equation is

=> k+12/k= 8

When we multiply both sides by k.

=> k² + 12 = 8k

Now we have to subtract 8k from both sides to move all the terms to one side of the equal sign then we get

=> k² + 12 - 8k = 0

Hence the required equation is k2 - 8k + 12 = 0.

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