SOS PLEASE, I DONT UNDERSTAND
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Answer:

when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Hope this helped if it did can i have brainliest

Answer:

it is going left to right and you'll have to multiply and that will get your answer.

Step-by-step explanation: the answer it is 8.

Answer:

5 gallons is 1/10 of 50 gallons; this is 10%

30 gallons is 30/50 or 60%

45 gallons is 45/50 or 90%

100 gallons is  200%

Step-by-step explanation:

Answer:

3:4

3/4

3 to 4

The ratio 3:7 represents how many smiley faces there are compared to how many shapes there are in total.

11:28

Answer:

Faces to Blocks

3:4    3/4   3 to 4

Blocks to faces

4:3   4/3  4 to 3

Ratio 3:7 represents

a part to whole ratio

The math problem

28-17 = 11 so the answer is 11:28

Step-by-step explanation:

Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses.  Sarah's expenses may vary, but here are some common examples she might have:

1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.

4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.

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Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

The factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is b³-1000.

Here, b³-1000=b³-10³

Using a³-b³=(a – b)(a² + ab + b²), we get

(b-10)(b²+10b+100)

Therefore, the factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

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Answer:

Hello! answer: 55

Step-by-step explanation:

55 + 35 = 90 HOPE THAT HELPS!

The point of intersection with x - axis is (5/3,0) and the point of intersection with y - axis is (0,5).  

Any point on AB's perpendicular bisector, P(x,y), shall be considered. Then, PA = PB.

√(x-3)²+(y-6)² = √(x+3)²+(y-4)²

(x-3)²+(y-6)² = (x+3)²+(y-4)²

x² -6x+ 9 + y²- 12y + 36 = x² +6x+ 9 + y²- 8y + 16

12x + 4y -20 = 0

3x+ y-5 =0 ---(1)  

Consequently, 3x+y-5=0 is the equation for the perpendicular bisector of AB.

We know that the coordinates of any point on x-axis are of the form (x,0). In other words, any point on the x-axis has a y-coordinate of zero. Thus, if we enter y = 0 in (1), we get

3x -5 = 0

x = 5/3

Thus, the x-axis is cut by the perpendicular bisector of AB at (5/3, 0).

(ii) Any point's y-axis coordinates have the following format: (0,y). When we enter x = 0 in (1), we obtain

y − 5 = 0

⇒ y = 5

Thus, the y-axis is where the perpendicular bisector of AB intersects (0,5).

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The admission fee for one person is 9.

The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).

Intercept Form of Equation of a Line: x/a + y/b = 1.

Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.

Total cost = 4x +36

It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).

The admission fee for four people= 36

So, the admission fee for one person = 36/4 = 9

Thus,  the admission fee for one person is 9.

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The admission fee for one person is 9.

The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).

Intercept Form of Equation of a Line: x/a + y/b = 1.

Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.

Total cost = 4x +36

It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).

The admission fee for four people= 36

So, the admission fee for one person = 36/4 = 9

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Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

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Answer:it’s 160

Step-by-step explanation:

Answer:

It should be 10%

\(y+9-x =\)

\(x=1 \\ y=3\)

\(3 +9 -1=11\)

Answer:

y+9-x = 3+9-1 which would end up equaling: 11

9-1=8+3=11

Antoya's overall profit is $23.00.

To solve this problem, let's break it down step by step.

First, let's consider the purchase of two bracelets. Antoya paid $5.00 each for them, so the total cost for the two bracelets is 2 * $5.00 = $10.00. She later sold each bracelet for $15.00, which means the total revenue from selling the two bracelets is 2 * $15.00 = $30.00.

Next, let's look at the purchase of three bracelets. Antoya paid $8.00 each for them, so the total cost for the three bracelets is 3 * $8.00 = $24.00. She then sold each bracelet for $9.00, which means the total revenue from selling the three bracelets is 3 * $9.00 = $27.00.

To find the profit or loss, we need to calculate the net gain or loss by subtracting the total cost from the total revenue. For the two bracelets, the net gain is $30.00 - $10.00 = $20.00. For the three bracelets, the net gain is $27.00 - $24.00 = $3.00.

To find the overall profit or loss, we add up the net gains from the two transactions. $20.00 + $3.00 = $23.00.

Therefore, Antoya's overall profit is $23.00.

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Therefore ,the speed at height 40 feet in the air = 16*40=640 feet/sec

A mathematical function from one set X to another gives each element of X exactly one element of the other. The sets X and Y, respectively, represent the function's domain and codomain.

Here,

the given function is

f(t)=−8\(t^{2}\)+25

Therefore, the speed of the ball can be calculated by using derivative of f(t)

f(t)=−8\(t^{2}\)+25

Differentiating f(t) w.r.t  t

=> d(f(t)/dt=-8*2t

=> d(f(t)/dt=-16t

Therefore the speed at height 40 feet in the air = 16*40=640 feet/sec

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Answer:

1) Please find attached the graph sowing the line of symmetry

The symmetry line is a vertical line passing through (2, -9)

2) The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

The given function is;

f(x) = x² - 4·x - 5

The data values are generated as follows;

x,          f(x)

-1,         0

-0.8,    -1.16

-0.6,    -2.24

-0.4,    -3.24

-0.2,    -4.16

0,         -5

0.2,      -5.76

0.4,      -6.44

0.6,     -7.04

0.8,     -7.56

1,         -8

1.2,      -8.36

1.4,      -8.64

1.6,      -8.84

1.8,      -8.96

2,        -9

2.2,     -8.96

2.4,      -8.84

2.6,     -8.64

2.8,     -8.36

3,        -8

3.2,     -7.56

3.4,     -7.04

3.6,     6.44

3.8,     -5.76

4,        -5

4.2,      -4.16

4.4,     -3.24

4.6,     -2.24

4.8,      -1.16

5,           0

The minimum is found from differentiating the function, f(x), with respect to x and looking for the zeros of the result  as follows;

f'(x) = 2·x -4

f'(x) = 0 = 2·x -4

x = 2

The y-coordinate gives; f(2) = 2² - 4×2 - 5 = -9

Therefore, the symmetry line is a vertical line passing through (2, -9)

The x-intercept is the point at which y = 0, therefore, from f(x) = x² - 4·x - 5, we have;

0 = x² - 4·x - 5 = (x - 5)·(x + 1)  

Therefore, the x-intercept are x = 5 or -1

The x-intercept are (5, 0) and (-1, 0)

The y-intercept occur at the point where the x value = 0, therefore, we have;

The y-intercept occur at y = f(0) = 0² - 4·0 - 5 = -5

The y-intercept is (0, -5)

Re-writing the  equation in vertex form y = a(x - h)² + k gives;

f(x) = x² - 4·x - 5 = 1·(x - 2)² - 9

Therefore, the vertex is (2, -9)

Answer:

see attached graph

The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

Answer:

the graph... it's slope is |2| and the chart is |1|

the absolute values are there because the questions only says "how steep"

not the direction

Step-by-step explanation:

The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

The number of dimes students has is 12 dimes.

We are given that;

Ratio= 2:3

Cost= $1.60

This is a question that can be solved using a system of linear equations. Let x be the number of nickels and y be the number of dimes. Then we have:

0.05x+0.10y=1.60

for the total amount of money, and

yx​=32​

for the ratio of nickels to dimes. To solve this system, we can use the substitution method. First, we isolate x in the second equation:

x=32​y

Then we substitute this expression for x in the first equation:

0.05(32​y)+0.10y=1.60

Simplifying, we get:

301​y+101​y=1.60

Adding the fractions, we get:

304​y=1.60

Multiplying both sides by 30, we get:

4y=48

Dividing both sides by 4, we get:

y=12

The student has 12 dimes.

Therefore, by the given ratio the answer will 12 dimes.

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By the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

So, let uscalculate the total number of leaves as follows:

A number of leaves on day 1.

A number of leaves on day 2.

A number of leaves of day 3.

A number of leaves on day 4.

A number of leaves on day 5.

A number of leaves on day 6.

A number of leaves of day 7.

A number of leaves on day 8.

A number of leaves on day 9.

A number of leaves on day 10.

A number of leaves on day 11.

A number of leaves on day 12.

A number of leaves on day 13.

Therefore, by the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.

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Answer:

see explanation

Step-by-step explanation:

given the system of equations

x + 3y = 76 → (1)

x + y = 36 → (2)

1

subtracting (2) from (1) term by term will eliminate x

(x - x) + (3y - y) = 76 - 36

0 + 2y = 40

2y = 40 ( divide both sides by 2 )

y = 20

3

substitute y = 20 into either of the 2 equations and solve for x

substituting into (2)

x + 20 = 36 ( subtract 20 from both sides )

x = 16

4

that is 16 students bought orange juice and 20 bought a sandwich

As a check

substitute the values for x and y into the equations and if both sides are equal then they are the solution

(1) :  16 + 3(20) = 16 + 60 = 76 ← True

(2) : 16 + 20 = 36 ← True

since both equations are true, then

x = 16 and y = 20 are the solutions to the system

Answer:

2/3

Step-by-step explanation:

slope is change in y over change in x and as y goes up 2 x goes up 3

Answer: X= 67/36

Step-by-step explanation:

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

1) 7

2) 4

3) 1

4) -2

5) -5

(a) A basis for the solution space of the homogeneous system of linear equations is:

{(-3, 1, 0, 0), (-5, 0, -5, 1)}

(b) The dimension of the solution space is 2.

To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.

Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.

In this case, after performing row operations, we obtain the reduced row-echelon form:

[1 0 -1 -1 0]

[0 1 3 2 0]

[0 0 0 0 0]

The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.

Since the basis has 2 vectors, the dimension of the solution space is 2.

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The margin of error for a 95% confidence interval for the population mean (μ) is given by: Margin of Error = z*(σ/√n)

where z is the critical value from the standard normal distribution for a 95% confidence level (z = 1.96), σ is the population standard deviation (which is usually unknown and estimated by the sample standard deviation, s), and n is the sample size.

Assuming the conditions of the linear model hold, the margin of error for a 95% confidence interval for the population mean can be calculated using the above formula.

Note that the linear model assumptions include that the errors are normally distributed, the mean of the errors is zero, and the variance of the errors is constant.

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At least three functions can be called, including checkweather. The other two functions can be any other functions that the program contains.

The maximum number of functions that can be called when calling the checkweather function depends on the program. If the program contains other functions, then up to three functions can be called, including the checkweather function. When calling the checkweather function, the first function that will be called is the checkweather function itself. After the checkweather function is called, the program will then proceed to call any other functions that have been determined by the program. This means that the maximum number of functions that can be called is at least two, with the checkweather function being one of them.In addition, if the program contains additional functions, then the maximum number of functions that can be called increases to three. For example, if the program contains functions to display the weather forecast, to check the temperature and to generate an alert, then these functions can also be called in addition to the checkweather function. In this case, the maximum number of functions that can be called is three, with the checkweather function still being one of them.

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