Find the measure of each marked angle. Assume the lines are parallel.
x+4=
9x-34=

Answer:

will remain the same

Step-by-step explanation:

Examples:

Your current exam mean is 97.2. If you receive a 99 on the next exam, this will have the effect of: increasing your mean

Your current exam mean is 93.2. If you receive a 87 on the next exam, this will have the effect of: decreasing your mean

Therefore, Your current exam mean is 95. If you receive a 95 on the next exam,this will have the effect of: Will remain the same

The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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Answer:

I cannot see the questions

Step-by-step explanation:

Answer:

=14

Step-by-step explanation:

...................

Answer:

218

Step-by-step explanation:

43 - w = 175

__________

To calculate the w, you need to add 43 to 175

w = 175 + 43

w = 218

The answer is square inches

Answer:

1/1

Step-by-step explanation:

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

Answer:

Step-by-step explanation:

(456/12) / (12/2)

lets solve the brackets

38/6

=6 \(\frac{1}{3}\)

Answer:

Terrence made $30 more than Teresa.

Step-by-step explanation:

Giving the following information:

Terrence earns $450 per week.

Teresa earns $300 per week plus a 6% commission on the total sales of books she sells.

First, we need to structure the total income formula for each:

Terrence= 450

Teresa= 300 + 0.06*x

x= sales

Now, for $2,000 sales of books:

Terrence= $450

Teresa= 300 + 0.06*2,000= $420

Answer:

Step-by-step explanation:

The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.

Answer:

a

Step-by-step explanation:

To answer the first question, we need to use conditional probability. We are given that 40% of students like baseball games and 50% of students who follow football also follow baseball.

Let's define the events:

A: Student follows football.

B: Student follows baseball.

We need to find the probability of event A (student follows football) given that event B (student follows baseball) has occurred, denoted as P(A|B).

Using conditional probability formula:

P(A|B) = P(A ∩ B) / P(B)

We know P(B) = 40% = 0.40 (given)

And we know P(A ∩ B) = P(B) * P(A|B) = 0.40 * 0.50 = 0.20

Now we can calculate P(A|B):

P(A|B) = P(A ∩ B) / P(B) = 0.20 / 0.40 = 0.50 = 50%

Therefore, the probability that a student who follows baseball also follows football is 50%, not 37.5% or 37.75% as mentioned in the answer options.

Please note that the given answer options are incorrect, and the correct answer is 50%.

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Answer:

The vertex is at (2, 8) and the axis of symmetry is x = 2

Step-by-step explanation:

First, let's find the zeros of the equation

Factor the equation

-2x² + 8x = -2x(x - 4) = 0

-2x = 0

x - 4 = 0

h(x) is 0 when x = 0 or 4

Now we add those zero's together and divide by 2 to find the middle (the axis of symmetry)

4 + 0 = 4

4 ÷ 2 = 2

Now plug 2 into the original equation to find the vertex

h(x) = -2(2)² + 8(2) = 8

Since h(x) equals 8 at the axis of symmetry, which is 2, our vertex is (2,8)

The correct statement concerning the vertex and axis of symmetry of

h(x) = −2x^2 + 8x is:

The vertex is at (2, 8) and the axis of symmetry is x = 2.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The correct statement concerning the vertex and axis of symmetry of

h(x) = −2x^2 + 8x is:

To find the vertex and axis of symmetry of a quadratic function in standard form (y = ax² + bx + c), we can use the formulas:

x = -b / 2a (for the x-coordinate of the vertex)

y = (c - b²) / 4a (for the y-coordinate of the vertex)

and

x = -b / 2a (for the equation of the axis of symmetry)

In this case,

a = -2, b = 8, and c = 0.

Substituting these values into the formulas above, we get:

x = -8 / 2(-2) = 2 (x-coordinate of vertex)

y = 0 - 8² / 4(-2) = 8 (y-coordinate of vertex)

x = 2 (equation of the axis of symmetry)

Therefore,

The vertex is at (2, 8) and the axis of symmetry is x = 2.

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Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

Answer:

All real numbers

Let's find the critical points of the inequality.

−4x+7=17

−4x+7+−7=17+−7(Add -7 to both sides)

−4x=10

−4x−1=10−1

(Divide both sides by -1)

4x=−10

4x=−10(Solve Exponent)

log(4x)=log(−10)(Take log of both sides)

x*(log(4))=log(−10)

x=log(−10)log(4)

x=NaN

The surface area of the right rectangular prism with given dimensions is equal to 207.4 square centimeters.

Surface area of the right rectangular prism

= 2 ( length × width + width × height + height × length )

In the diagram,

length of the right rectangular prism = 6.7cm

Width of the right rectangular prism = 6.0cm

Height of the right rectangular prism = 5cm

Substitute the values in the formula we get,

Surface area of the right rectangular prism

= 2 × ( 6.7 × 6 + 6 × 5 + 5 × 6.7 )

= 2 × ( 40.2 + 30 + 33.5 )

= 2 ×  103.7

= 207.4 square centimeters.

Therefore, the surface area of the prism with length 6.7 cm , width 6.0 cm and height 5cm is equal to 207.4 square centimeters.

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Answer:

Step-by-step explanation: The length of q to the nearest 10th of a centimeter is 0.2 cm.

Describe Law of Sines?

The Law of Sines is a trigonometric formula used to find the missing sides or angles of a non-right triangle (a triangle that does not have a 90-degree angle). It states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides and angles:

a/sin(A) = b/sin(B) = c/sin(C)

where:

a, b, c are the lengths of the sides of the triangle, and

A, B, C are the measures of the angles opposite to those sides.

This formula is useful when we have some information about the sides or angles of a triangle, but not enough to solve it completely. By using the Law of Sines, we can set up and solve equations to find the missing values.

Using the Law of Sines, we have:

q / sin(2°) = p / sin(149°)

Solving for q:

q = p * sin(2°) / sin(149°)

= 6.3 * sin(2°) / sin(149°)

≈ 0.23 cm

Therefore, the length of q to the nearest 10th of a centimeter is 0.2 cm.

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Answer:

um what

Step-by-step explanation:

these isn't a questinon

Answer:

u have to answer a question to get one    

not the other way around

Step-by-step explanation:

1.1. Look for the point of intersection, which is the solution of the system,  (1, 5).

1.2. Equation of line a is: y = -3x + 8; Equation of line b is: y = 3x + 2

1.3. x = 1; y = 5

The coordinates of x and y of the point where the two lines that represent a system intersect is the solution of the system of equations.

1.1. To find the solution of the given system of equations, find where the two lines intersect. Thus, the solution is: (1, 5).

1.2. Equation of line a:

Slope (m) = rise/run = -3/1 = -3

y-intercept (b) = 8

The equation of line a is: y = -3x + 8

1.2. Equation of line b:

Slope (m) = rise/run = 3/1 = 3

y-intercept (b) = 2

The equation of line b is: y = 3x + 2

1.3. To solve the system of equations:

y = -3x + 8

y = 3x + 2

We can set the right-hand sides of these equations equal to each other, since they both equal y:

-3x + 8 = 3x + 2

Now we can solve for x:

-3x - 3x = 2 - 8

-6x = -6

x = 1

Now that we have found x, we can substitute it back into one of the original equations to find y. Let's use the second equation:

y = 3x + 2

y = 3(1) + 2

y = 5

Therefore, the solution to the system of equations is (x, y) = (1, 5).

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After 3.5 days, the height of the plant is 6.25 centimeters. Days are the independent function, but height is the dependent function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The given statement is,

After 3.5 days, the height of the plant is centimeters.

The height of the plant is 6.25 centimeters after days.

The complete and correct statement is,

After 3.5 days, the height of the plant is 6.25 centimeters.

For the given condition the height is the dependent function while the days are the independent function. Because the height is dependent on the number of days.

Height = f(Number of days)

h=f(d)

6.25=f(3.5)

Thus, after 3.5 days, the height of the plant is 6.25 centimeters. Days are the independent function, but height is the dependent function.

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The vertex of the function g(x) = 3\(x^{2}\) - 12x + 7 is at (2, -5).

The vertex of a parabola in the form of y = a\(x^{2}\) + bx + c can be found using the formula x = -b/2a for the x-coordinate of the vertex and then substituting this value into the equation to find the y-coordinate.

For the function g(x) = 3\(x^{2}\) - 12x + 7, we can see that a = 3 and b = -12. We can use the formula to find the x-coordinate of the vertex:

x = -b/2a = -(-12)/(2*3) = 2

So the x-coordinate of the vertex is 2. To find the y-coordinate, we can substitute x = 2 into the equation:

g(2) = 3 \((2)^{2}\)- 12(2) + 7 = -5

Therefore, the vertex of the function g(x) = 3\(x^{2}\) - 12x + 7 is at (2, -5).

So the correct answer is (c) (2, −5).

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Answer:

the answer is b because that's the slope

Answer:

B

Step-by-step explanation:

you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B

To find the length of the diagonal fence that stretches from one corner to the opposite corner of a rectangle, we can use the Pythagorean theorem, which states that the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the two other sides (legs) of the rectangle.

In this case, the rectangle has dimensions 24 meters by 45 meters. Therefore, the length of the diagonal fence is:

Diagonal fence = √(24^2 + 45^2) meters

Simplifying the equation, we get:

Diagonal fence = √(576 + 2025) meters

Diagonal fence = √2601 meters

Diagonal fence = 51 meters

So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.

The differential equation whose general solution is y = c1e^6t + c2e^(-3t) is 30c1e^6t + 12c2e^(-3t) = 0.

To find the differential equation whose general solution is given as y = c1e^6t + c2e^(-3t), we can differentiate the equation with respect to t to eliminate the constants c1 and c2.

Differentiating y with respect to t:

dy/dt = c1(6e^6t) + c2(-3e^(-3t))

Now, we have the first derivative of y with respect to t. To find the differential equation, we equate this expression to the second derivative of y with respect to t.

Taking the second derivative of y with respect to t:

d^2y/dt^2 = c1(36e^6t) + c2(9e^(-3t))

Equating the second derivative to the first derivative:

d^2y/dt^2 = c1(36e^6t) + c2(9e^(-3t)) = c1(6e^6t) + c2(-3e^(-3t))

The resulting differential equation is:

36c1e^6t + 9c2e^(-3t) = 6c1e^6t - 3c2e^(-3t)

Simplifying:

30c1e^6t + 12c2e^(-3t) = 0

Therefore, The differential equation whose general solution is y = c1e^6t + c2e^(-3t) is 30c1e^6t + 12c2e^(-3t) = 0.

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Answer:

10 students

Step-by-step explanation:

I've drawn a venn diagram to explain the distribution in this question and attached it.

From the venn diagram, we can see that;

(M) = 60

(S) = 50

(M ∩ S) = 20

Now, to find how many of them failed both subjects, we will use the formula;

100 = (M' ∩ S') + (M) + (S) - (M ∩ S)

Where (M' ∩ S') is number of people that failed both subjects

Plugging in the relevant values we have;

100 = (M' ∩ S') + 60 + 50 - 20

100 = (M' ∩ S') + 90

(M' ∩ S') = 100 - 90

(M' ∩ S') = 10

Answer:

678

Step-by-step explanation:

Answer:

P = 3

Step-by-step explanation:

whenever we see a variable and number next to each other, we multiply. The value of p is 3 so -2 x 3 is -6. (Remember a negative times a negative is a positive, a positive times a positive is positive, and a negative times a positive is a negative). Then we add -6 + 16 which is 10.  Or we could do this: 16 - 6 is 10, which ever's numbers is bigger, the answer will have that number's sign. So since 16 is the bigger number and since 16 is positive, the answer, 10, will be positve.

Hope I helped!

The correct equations to represent Ted's total September costs are: (3600+ 1.50) x 12.000 1.50(3600+) 12,000.

Cost is the total expenditure or loss incurred in the production, acquisition, or use of a product or service. It can be calculated as the sum of fixed costs (such as rent and labor costs) plus variable costs (such as materials and energy). Cost can be expressed both in monetary terms (such as dollars or euros) or in terms of resources (such as time or effort). In business, cost is a crucial factor for determining profitability and should be taken into consideration when making decisions about production, sales, and pricing strategies.
The first equation calculates the cost of the fixed monthly costs plus the cost of the 16 ounce bags of coffee multiplied by the total number of bags sold. The second equation calculates the cost of the 16 ounce bags of coffee multiplied by the fixed monthly costs plus the total number of bags sold.

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6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.

Answer:

Longer

Step-by-step explanation:

The perimeter has to be split 6 ways for the hexagon, but 8 ways for the octagon