△abc∼△efg given m∠a=39° and m∠f=56°, what is m∠c? enter your answer in the box. °

The value of the function when p = -5 is 100

Given the function below expressed as;

p(x) = 3x² − 5x;

Substitute the value of x into the function to have:

p(-5) = 3(-5)^2-5(-5)

Simplify

p(-5) = 3(25) + 25

p(-5) = 75 + 25

p(-5) = 100

Hence the value of the function when p = -5 is 100

Learn more on function and values here; https://brainly.com/question/2284360

#SPJ1

Answer:

\(\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)\)

\(\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}\)

\(\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}\)

\(\textsf{12.} \quad \sf See\;attachment\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}\)

Given:

The center of an ellipse is the midpoint of the foci.

Therefore, the center (h, k) of the ellipse is (5, 1), so:

The foci are on the major axis of an ellipse.

Given that the y-values of the given foci are the same, the ellipse is horizontal.

The foci of a horizontal ellipse are (h±c, k)

\(\implies 5-c=3 \implies c=2\)

\(\implies 5+c=7 \implies c=2\)

The major axis of a horizontal ellipse is 2a.

If the major axis is 10, then a = 5.

The vertices of a horizontal ellipse are (h±a, k).  

Therefore the coordinates of the vertices are:

The minor axis of a horizontal ellipse is 2b.

As c² = a² - b² then b = √(a² - c²).

\(\implies b=\sqrt{5^2-2^2}=\sqrt{21}\)

Therefore, the minor axis is 2√(21).

The eccentricity of the ellipse is:

\(\implies e=\dfrac{c}{a}=\dfrac{2}{5}\)

Given the point: (15, -15)

We will express the point in polar notation

the formulas to convert from rectangular to polar are as follows:

so, the polar form will be as follows:

So, the answer will be:

Answer:

r = 0.2

Step-by-step explanation:

Given

y = rx ( divide both sides by x )

\(\frac{y}{x}\) = r

Use any of the ordered pairs from the table and substitute

Using (8, 1. 6 ) , then

r = \(\frac{1.6}{8}\) = 0.2

The options are: a. Less than 1.b. 4. c. Even number. d. Mo Out of the given options, the only example of a simple event is "4" as there is only one outcome associated with it. Therefore, the answer is option "b".

A simple event can be defined as an event that consists of only one outcome.  

Among the given options, "4" is the only example of a simple event as there is only one outcome associated with it. Therefore, the answer is option "b".

To write your answer within the limit of 250 words, you can follow the below format:A fair die has a total of 6 sides that are numbered from 1 to 6. When this die is rolled, each face of the die has an equal chance of landing face up. Thus,

we can conclude that the sample space of rolling a die is S = {1, 2, 3, 4, 5, 6}. An event can be defined as a subset of a sample space,

while a simple event is an event that consists of only one outcome. Given the sample space S = {1, 2, 3, 4, 5, 6}, we need to determine which of the following is an example of a simple event.

To know more about sample space visit:

https://brainly.com/question/30206035

#SPJ11

Answer: Absolute Value

Step-by-step explanation:

The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.

Examples:

|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.

|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.

|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.

|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.

Answer:

x=25⁰

y=25⁰

Step-by-step explanation:

ABC+BAC+ACB = 180⁰

65⁰+90⁰+y = 180⁰

y = 180⁰-155⁰

y = 25⁰

In triangle ABD,

ABD+ADB+BAD = 180⁰

65⁰+90⁰+x = 180⁰

x = 180⁰-155⁰

x = 25⁰

Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.

Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:

DR/RE = DE/ER

Substituting DR = 2y + 9 and RE = 3y - 1, we get:

(2y + 9)/(3y - 1) = DE/ER

Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:

(2y + 9)/(3y - 1) = DE/(2y + 9)

Cross-multiplying, we get:

DE = (2y + 9)²/(3y - 1)

Expanding the numerator, we get:

DE = (4y² + 36y + 81)/(3y - 1)

Simplifying the expression, we get:

DE = 4y + 13

Learn more about bisector theorem at

https://brainly.com/question/10433817

#SPJ4

on using  disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..

In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.

In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.

In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..

To know more about disjunctive syllogism. click here:

brainly.com/question/22173899

#SPJ4

Answer:

Step-by-step explanation:

https://mypages.valdosta.edu/alazari/math1111/Classmaterials/2.5%20-%20HW.pdf

The phrase that completes the sentence is "determined by."

Learn more about variable

brainly.com/question/17344045

#SPJ11

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

To know more about Logical Error:

https://brainly.com/question/28957248

#SPJ

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values

Answer:

D) 8x²-172x+120

Step-by-step explanation:

Length=2(-2x+20)+6

Width=-2x+20

(-4x+40+6)(-2x+20)

(-4x+46)(-2x+20)

8x²-80x-92x+920

8x²-172x+920

Answer:

10 . 44 ft

Step-by-step explanation:

sin 50 = opposite leg / hypotenuse = 8 / x

8 / sin 50 = x    = 10 .44  ft

Answer:

10.433cm

Step-by-step explanation:

Using SOH from TOACAHSOH,

\(sin50deg = \frac{opposite}{hypotenuse} \)

From here we know there the opposite is 8ft (height of the ring) and hypotenuse is what we want to find, distance between you and the ring.

\(sin(50) = \frac{8}{x} \\ x \sin(50) = 8 \\ x = \frac{8}{ \sin(50) } \\ x = 10.443cm(rounded \: to \: 5sf)\)

Symbolically, they correspond to the relationships between the coefficients of the equations.

A system of 2 linear equations in 2 variables can have one of the following three possible solutions:

One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.

Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:

a1x + b1y = c1

ka1x + kb1y = kc1

where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.

No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.

Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ11

Answer:

You subtracted 25 from both sides.

Step-by-step explanation:

To move one part of the equation to the other side, you need to do the opposite. 25 is already negative(or being subtracted) so you need to add it to both sides to cancel it out on the left.

10x=-75+25

10x=-50

then divide both sides by 10

x=-5

Answer:

156 centimeters

Step-by-step explanation:

its very simple

8*6.5*3=156

Surface area of a rectangular prism is the sum area of the six sides.

A=2(xy+xz+yz)

A=2(8(6.5)+8(3)+6.5(3))

A=2(52+24+19.5)

A=2(95.5)

A=191 cm^2

The behavior of the graph of the function is that it crosses the x-axis at at each zero

The equationn of the function is given as

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

Express properly

So, we have

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

The multiplicities of the factors of the above equation are 1

This means that the graph would cross the x-axis at at each zero

Read more about behavior at

https://brainly.com/question/1365136

#SPJ1

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

To learn more about the explicit formula from the given link

https://brainly.com/question/9859279

#SPJ1

Answer:

\(- 2x^5+ 0x^4 + \frac{x^3}{2} +0x^2+\frac{x}{4} + 1\)

Step-by-step explanation:

Given

\(\frac{x}{4} - 2x^5 + \frac{x^3}{2} + 1\)

Required

The standard form of the polynomial

The general form of a polynomial is

\(ax^n + bx^{n-1} + cx^{n-2} +........+ k\)

Where k is a constant and the terms are arranged from biggest to smallest exponents

We start by rearranging the given polynomial

\(- 2x^5+ \frac{x^3}{2} +\frac{x}{4} + 1\)

Given that the highest exponent of x is 5;

Let n = 5

Then we fix in the missing terms in terms of n

\(- 2x^5+ 0x^{n-1} + \frac{x^3}{2} +0x^{n-3}+\frac{x}{4} + 1\)

Substitute 5 for n

\(- 2x^5+ 0x^{5-1} + \frac{x^3}{2} +0x^{5-3}+\frac{x}{4} + 1\)

\(- 2x^5+ 0x^{4} + \frac{x^3}{2} +0x^{2}+\frac{x}{4} + 1\)

Hence, the standard form of the given polynomial is \(- 2x^5+ 0x^4 + \frac{x^3}{2} +0x^2+\frac{x}{4} + 1\)

Answer:

Its B

Step-by-step explanation:

Got it right on edu 2022

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

Learn more about The correlation coefficient here:

https://brainly.com/question/15577278

#SPJ4

The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

1005

Step-by-step explanation:

V=πr^2h

=3.14*4^2*20

=1004.8

=1005

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:

To the nearest whole percent is 26%

Step-by-step explanation:

First half of the year = 54 students

Second half of the year = 68 members

find the percent of increase in club membership to the nearest whole percent ?

% increase in club membership = (new member - old member) / old member × 100

= (68 - 54) / 54 × 100

= 14 / 54 × 100

= 0.259 × 100

= 25.9 %

To the nearest whole percent is 26%

Each bullet would cost 100/80 = $1.25 if 100 bullets cost $80.