(2,15) (-4,-3) in standard form

If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

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Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

The length of the second trial will be equal to 2(⁵/₈) miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Answer:

The answer is 35 children and 105 adults

Step-by-step explanation:

we don't know the number of kids or adults in the theater , so they are unknown.

x: adults

y: kids

we know that y=3x (1)

we also know that all the people in the theater are 140.

so we also know that x+y= 140 (2)

And now you need to take (1) and put it in (2):

y=3x

x+y= 140 x+3x=140 =} 4x=140=} x=140/4=} x=35 kids. so if we put on (1) the number of the kids we have the number of adults: y=3*35=}y=105 adults

I hope I helped !

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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well, let's recall that Profit is Revenue - Costs, in essence, subtracting what you spent to make the product from the amount you charge, whatever the surplus amount is, goes by the name of "profit".

\(P(t)~~ = ~~\stackrel{S(t)}{(-4t^2+48t)}~~ - ~~\stackrel{M(t)}{(-3t^2+36t)} \\\\\\ P(t)=-4t^2+48t+32t^2-36t\implies \boxed{P(t)=-t^2+12t}\)

Check the picture below.

is there a point when Maria is losing money?

well, from the graph, if we to say the origin, that (0,0), there's no profit, profit is 0, now, if we go to the left of that, the line is going to the negative, so we can say if makes "negative t-shirts" hehe, namely, if she starts to give them away like there's no tomorrow, then hell she's in the red ink, now if we go beyond t = 12, the graph goes back down again?  the hell?  well, that just means that if she makes t-shirts for more than 12 days, she's back in the red ink again,.

Step-by-step explanation:

step 1. h(-6) = 3(-6) - 2

step 2. h(-6) = -18 - 2

step 3. h(-6) = -20.

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Answer:84%

Step-by-step explanation:because of the process of elimanation

Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

\(\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07\)

So,

\(\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665\)

Hence, the final answer is 76.665.

The staircase function S(x) takes on the value of the largest integer less than x. To find the integral of S(x) over an interval [M, N], we can consider the area under the staircase function over each subinterval [n, n + 1] for integers n such that M <= n <= N.

The area under S(x) over the subinterval [n, n + 1] can be represented as a rectangle with height n and width 1. Therefore, the integral of S(x) over the subinterval [n, n + 1] is given by n.

Using sigma notation, we can represent the integral of S(x) over the interval [M, N] as follows:

∫_M^N S(x)dx = ∑_{n=M}^{N-1} ∫_n^{n+1} n dx = ∑_{n=M}^{N-1} n * (n+1 - n) = ∑_{n=M}^{N-1} n = (M + (M + 1) + ... + N-1) = (N^2 - M^2)/2.

So, the integral of the staircase function S(x) over the interval [M, N] is equal to (N^2 - M^2)/2.

As a result, the borrower can qualify for a loan amount of $476,757.76, expression resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To solve this problem, we must use the loan program's single ratio, which is 45%. This is the maximum debt-to-income (DTI) ratio a borrower can have in order to qualify for the loan.

$65,000 divided by 12 months equals $5,416.67 per month

$5,416.67 divided by 45% equals $2,437.50 per month

$2,437.50 minus $360 equals $2,077.50 per month

$2,077.50 minus $490 equals $1,587.50 per month

This means that the borrower can afford a $1,587.50 monthly principal and interest payment.

Loan amount = (Monthly payment) / (Monthly interest rate)

The loan amount is ($1,587.50) divided by the loan term (0.00333)

The loan amount is $476,757.76.

As a result, the borrower can qualify for a loan amount of $476,757.76, resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

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Just put -2 in,where X is and get your answer that way

The calculated measure of t from the given equation is 15 degrees

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

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

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The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

0.125

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.125

Answer:

0.125

Step-by-step explanation:

1/2=0.5

0.5/2=1/4=0.25

0.25/2=1/8=0.125

Answer:

Step-by-step explanation:

1..................................................................

2...................................................................

3...................................................................

Answer:

=0.291

Step-by-step explanation:

number of residents who have completed some college =5372

number of residents who has completed college and age group 20-29years=1563

1563/5372

=0.29095

Answer:

394

Step-by-step explanation:

If he has 68% left to read, then he read 100% - 68% = 32%.

32% of the number of pages, n, equals 126 pages.

0.32n = 126

n = 126/0.32

n = 393.75

Answer: 394

Answer:

if you are asking us then probably a... hmmm -_- 3 yes
3 out of 10

Step-by-step explanation:

Answer: we’ll first to find how “smart” you are, we have to verify the level of unsmartness and see if there is any given number. Since the is no given number we will use x as our unknown number. Then we will subtract 1 from 10, therefore giving us the number 9 that we will use in our equation to determine the level of “smart”.

Now we will put 9 and x together:

9x

Now we will find the next part of our equation which will find by looking at how we got the number 9, which is: 10-1

Now we group the parts of this equation which will be:

9x÷10-1

First we will solve one side of our equation

10-1=9

Then we will insert the solved side of the equation

9x÷9

Now we will divide

9/9x
we are left with 1

x=1

Now we insert our solved number back into our previous equation with 1 replacing x

9⋅1÷10-1

Now after we have solved the equation

The answer is: -0.1 will be your level of “smart”

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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The correct answer is:  [D]:  " \(\frac{(1.2)^2^4}{(1.4)^1^8}\)  "

Step-by-step explanation:

Given:  ( 1.4³ / 1.2⁴)⁻⁶ ;

Note the following properties of exponents:

1)    \(a^-^b = \frac{1}{a^b}\) ;  { \(a\neq 0\) } ;  and:

2)   the  'power of a fraction' rule:
 \((\frac{a}{b})^c} =\frac{a^c}{b^c}\) ;  \(b\neq 0\) '

As such:
\((\frac{1.4^3}{1.2^4})^{-6}\)  ;

=  1  ÷ ( \(\frac{1.4^3}{1.2^4})^{6}\) ;

=  \(\frac{1}{1}\)   ÷ ( \(\frac{1.4^3}{1.2^4})^{6}\) ;;

=  \(\frac{1}{1}\)   ÷   \(\frac{1.4^(^3^*^6^)}{1.2^(^4^*^6^)}\) ;

Note the follow property of exponents:
" \((\frac{a}{b})^c = \frac{a^c}{b^c}\) " ;  {" b ≠ 0 "}.

⇒ =   \(\frac{1}{1}\)   ÷ \(\frac{1.4^(^1^8^)}{1.2^(^2^4^)}\)

Note:  Dividing by a fraction or a number; is the same as multiplying by the reciprocal (invert) of that number.

   =   \(\frac{1}{1}\)   *  \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\) ;

   =     "  \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\)  "  ;

which corresponds to:
Answer choice:  [D]:   " \(\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}\) " .
____________
Hope this is helpful!  Best of luck!

____________

Answer:

1.) 7x+5y

2.)-19m+14r

3.)22b+40c

4.)10x+25

5.)7m+7

Step-by-step explanation:

ez

Answer:

as we can see b and are reflections as ther are same

The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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