Any line perpendicular to line C must have a slope equal to -3/2.
Which is the slope of a line perpendicular to line C?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two linear equations are perpendicular if the product between the slopes is -1, then if the slope of the line perpendicular to line C is x, then we can write:
x*(2/3) = -1
Solving for x we get:
x = -3/2
That is the slope of the perpendicular line.
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Help ASAP plsssssssssssssssssssssss
Answer:
2/6
Step-by-step explanation:
There are 2 out of 3 on one half shaded so it is 2/6
p^q is logically equivalent to
The logically equivalent statement to p → q is:
~q → ~p
How to find the logically equivalent statement?The conditional statement:
p → q
Assuming p and q are propositions, the conditional statement may be expressed as:
"If p holds true, then q follows suit. "
'
Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.
We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.
~p and ~q
These mean:
Not p and Not q respectively.
Then the statement:
"If q is not true, then p is not true"
Is written as:
~q → ~p
So this is the logically equivalent statement.
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The Complete Question
Given a conditional statement p → q, which statement is logically equivalent?
~p → ~q
~q → ~p
q → p
p → ~q
Find the total area of the shaded region. Ay 1.5- 14 x=5y3 (5,1) * = 5y? 0.5- х 07 0 2.5 5 7.5 Find the area of the region enclosed by the curves x= x = 7y?, x=0, and y=1. The area of the region enclosed by the curves is (Type a simplified fraction.)
The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).
From the attached graph :
The area of the shaded region :
x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :
= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)
= [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)
Substitute the lower limit and upper limit we get,
= (5 /3 )( 1 )³ - 0 - ( 5 / 4 )( 1⁴) + 0
= ( 5 / 3 ) - ( 5 / 4 )
= ( 20 - 15 ) / 12
= 5 / 12
Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .
The given question is incomplete, I answer the question in general according to my knowledge:
Find the total area of the shaded region x = 5y³ , x = 5y² for the interval
( 5, 1 ).
Graph is attached.
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5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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Find 4 - (-11).
The difference is ?
Answer:
15
Step-by-step explanation:
Step 1: distribute the negative: 4+11
Step 2: add up the numbers: 15
Hope that helps
helppp plsss i will mark as brainies
Answer:
its the 3rd won
Step-by-step explanation:
QUESTION 1 MRH CHO3_2001A Discrete PMF Customers select a variety of upgrades when they purchase your software. The number of upgrades purchased per customer is given by the following probability mass function: f(0) -0.50 f(1) - 0.20 f(2)=0.06 f(3) - (unreadable) What is the expected value of the number of upgrades selected? (Hints you will first need to figure out the value of f(3). Remember what do all probability mass functions sum to?) Carry your answer to at least three decimal places.
The expected value of the number of upgrades selected is 1.04.
The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.
First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:
1 = f(0) + f(1) + f(2) + f(3)
1 = 0.50 + 0.20 + 0.06 + f(3)
f(3) = 1 - (0.50 + 0.20 + 0.06)
f(3) = 0.24
Now that we know the value of f(3), we can calculate the expected value as follows:
E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)
E(X) = 0 + 0.20 + 0.12 + 0.72
E(X) = 1.04
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Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Answer: \(\dfrac{1}{4}\)
Step-by-step explanation:
Given
The total no of beads is 52
there 13-red,13-blue,13-green, and 13-black
favorable outcomes to select a blue bead is 13
Total outcomes are 52
Probability is given by
\(P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}\)
Answer: 1/4
Step-by-step explanation:
43 is a number between
Ok, so the answer is 6.5574385243
but idk what it would be rounded...
Hope this helps.....
:)
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars. How many children and how many adults were admitted?
Your answer is:
number of children equals=____
number of adults equals=____
Using the system of equations, the number of adults and the number of children who were committed are 140 and 104 respectively.
Given that,
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Let x be the number of adults and y be the number of children who were admitted.
On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars.
We get a system of equations,
x + y = 244
4x + 1.5y = 716
From the first equation,
y = 244 - x
Substituting this to second equation,
4x + 1.5(244 - x) = 716
4x + 366 - 1.5x = 716
2.5x = 350
x = 140
y = 244 - x = 104
Hence the number of children equals 104 and the number of adults equals 140.
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7(4x) simplifying expressions pls help with this!
7(4x) = 28x
Hope this helps :)
Answer: 7(4x) > 4 x 7 = 28x
Answer: 28x
determine if 25110 is divisible by 45
Answer:
Yes: 558
Step-by-step explanation:
25110 ÷ 45 = 558
Answer:
25110 is divisible by 45
Step-by-step explanation:
25110 : 45 = 558
225
------
=261
225
------
= 360
360
------
= = =
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
The answer is x4 – 6x2 – 27 = 0 and this is a quadratic equation in the polynomials .
How to calculate and What is Quadratic equation?This is a quartic equation because the highest degree is 4
In the second option, we have 3x⁴ = 2x, this is also another quartic equation.
In the third equation, we have 2(x + 5)⁴ + 2x² + 5 = 0, this is a quartic equation because the highest degree is 4
In the fourth equation, 6(2x + 4)² = (2x + 4) + 2
This is a quadratic equation because the highest degree is 2
In the fifth equation, we have 6x⁴ = -x² + 5 which is also another quartic equation
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x2 (a 0) for an equation to be a quadratic equation. The x2 term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.
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A skateboard ramp is 4.1 feet high and 6 feet long along the horizontal. To the nearest
tenth of a degree, what is the measure of the angle that the ramp makes with a
horizontal line?
34.3°
55.7°
90°
46.9⁰
Answer: :)
Step-by-step explanation:
To find the angle that the ramp makes with a horizontal line, we need to use trigonometry. The angle we are looking for is the angle between the ramp and the ground, which is the same as the angle between the hypotenuse of a right triangle (the ramp) and its adjacent side (the ground).
We can use the tangent function to find this angle:
tan(theta) = opposite/adjacent
In this case, the opposite side is the height of the ramp (4.1 feet) and the adjacent side is the length of the ramp along the ground (6 feet). So we have:
tan(theta) = 4.1/6
Using a calculator, we can solve for theta:
theta = tan^-1(4.1/6)
theta ≈ 34.3°
Therefore, to the nearest tenth of a degree, the measure of the angle that the ramp makes with a horizontal line is 34.3°.
EXPEND AND SIMPLIFY (x-5)²
\((x - 5 {)}^{2} \)
\( {x}^{2} - 2(x)(5) + {5}^{2} \)
\( {x}^{2} - 10x + 25\)
For which pairs of functions is (f•g)(x)=x?
A.)f(x) = x^2 and g(x)=1/х
B.)f(x) = 2/x and g(x)= 2/x
C.) f(x)= x-2/3 and g(x) =2-3x
D.)f(x)=1/2x-2 and g(x)=1/2x+2
HELP ME PLEASE THANKS
Answer: Answer choice B
Step-by-step explanation:
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Combine like terms: 4 - 3m - 1 + 2m
Answer:
-m+3
Step-by-step explanation:
4 - 3m - 1 + 2m
4-1-m
-m+3
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6. 4x + 2y = −2 x − 3y = 24 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. The slopes are the same, and the y-intercepts are the same.
The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, we have the following system of equations in standard form:
4x + 2y = −2
x − 3y = 24
By rewriting system of equations in slope-intercept form, we have:
y = -2x - 1 ⇒ m = -2, b = -1
y = x/3 - 8 ⇒ m = 1/3, b = -8
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Find all positive and negative integers b such that x^2+bx+9 factors.
Answer:
4x + b
Step-by-step explanation:
The derivative of a polynomial is the sum of the derivative of it's terms. The derivative of a constant term is 0. The derivative of the ( ax to the n) is ( nax to the n-1 )
2 x 2x(²minus¹ )+ bx(¹minus¹)
multiple 2x2
4x²–¹ + bx¹–¹
subtract 1 from 2
4x¹ + bx¹–¹
subtract 1 from 1
4x¹ + bx⁰
for any term t, t¹ = t
4x + bx⁰
for any term t except 0
t⁰ = 1
4x + b x 1
for any term t, t x 1 = t
and 1t = t
4x + b
Marguerite answered 80% of the questions on her test correctly. What fraction of the questions did she answer correctly?
A.
B.
C.
D.
She answered 80% correct, in fractions that is:
A. \(\frac{4}{5}\)
B. \(\frac{80}{100}\)
C. \(\frac{160}{200}\)
D. \(\frac{40}{50}\)
Convert to fraction
\(\\ \tt\hookrightarrow \dfrac{80}{100}\)
Cancel by 20\(\\ \tt\hookrightarrow \dfrac{4}{5}\)
Haylee selects 10 small businesses at random from her state's directory. Let BBBB be the number of businesses she selects that have websites What type of variable is B? Binomial Geometric Neither
From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.
What is binomial variable ?The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probabilitq=1-pq=1-p).
This distribution is used in probability theory and statistics.
A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution.
The popular binomial test of statistical significance is based on the binomial distribution.
A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.
Hence, From the directory for her state, Haylee randomly chooses 10 small firms. Assume that the binomial variable BBBB represents the number of the firms she chooses that have websites.
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Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Which of these ordered pairs is a solution to the inequality?
1/4x ≤ 7/3y +2
Responses
A (80, 6)
B (48, 9)
C (40, 3)
D (2, –6)
Please show step by step as I need to learn how to do these problems. Thank you
Answer: D
Step-by-step explanation:
To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.
Let's start with ordered pair A (80, 6):
1/4x ≤ 7/3y + 2
1/4(80) ≤ 7/3(6) + 2
20 ≤ 14 + 2
20 ≤ 16
This is not true, so ordered pair A is not a solution to the inequality.
Now let's try ordered pair B (48, 9):
1/4x ≤ 7/3y + 2
1/4(48) ≤ 7/3(9) + 2
12 ≤ 21 + 2
12 ≤ 23
This is also not true, so ordered pair B is not a solution to the inequality.
Next, let's try ordered pair C (40, 3):
1/4x ≤ 7/3y + 2
1/4(40) ≤ 7/3(3) + 2
10 ≤ 7 + 2
10 ≤ 9
This is false, so option C is not a solution to the inequality.
Finally, we have option D: (2, -6)
1/4(2) ≤ 7/3(-6) + 2
1/2 ≤ -14 + 2
1/2 ≤ -12
This is true, so option D is a solution to the inequality.
Therefore, the answer is D: (2, -6).
PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
Does a hexagon contain rays
Answer:
no
Step-by-step explanation:
Because |a + bi| is equal to a distance,
|a + bi| will always be a _____
number.
Answer:
positive real
Step-by-step explanation:
A circular walk is 1.5 meters wide, if the outer circumference is 72 meters, what is the inside diameter of the walk?
9514 1404 393
Answer:
about 19.92 meters
Step-by-step explanation:
The circumference is ...
C = πd
72 m = πd . . . . . for outer diameter d
d = (72 m)/π
The inner diameter is 3 meters shorter, so is ...
inner diameter = (72/π) m - 3 m ≈ 19.92 m