Write the slope-intercept form of the equation of the line passing through the point (5, 5) and perpendicular to the line y = 4/9x– 1.
Answers
Answer:
y = -9/4x + 16 1/4
Step-by-step explanation:
lmk if you want an explanation
Related Questions
A music store is having a clearance sale. All items are discounted by 15%. What is the sale price of a radio that regularly costs $20?
Answers
Answer:
17$
Step-by-step explanation:
Answer:
$17
Step-by-step explanation:
Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.
f(x)=2x^2+x-4
Find f(-10)
Answers
Answer:
-386
Step-by-step explanation:
-20^2=400-10-4=386
Answer is 386
Answer:
rawr im back
Step-by-step explanation:
In C and Unix, Write a function float binomialDistribution(int K, int n, float p) that returns the probability of K
successes in n trials where p is the probability of success of an individual trial. The function should
be called from main which will ask user to input these three parameters.
(Hint: The probability can be computed using the probability mass function as given below:
f(k,n,p) = (n k)pk (1-p)n-k
for k = 0,1,2,...,where
(n k)= n!/k!(n-k)!
Input:
Enter k value: 4
Enter n value: 6
Enter p value: 0.3
Output:
The answer is 0.059535
Answers
Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".
Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:
```c
#include <stdio.h>
// Function to calculate the binomial distribution probability
float binomial Distribution(int K, int n, float p) {
int i;
float result = 1.0;
// Calculate the binomial coefficient (n k)
for (i = 1; i <= K; i++) {
result *= (n - i + 1);
result /= i;
}
// Multiply by p^K and (1 - p)^(n - K)
result *= pow(p, K) * pow(1 - p, n - K);
return result;
}
int main() {
int K, n;
float p, probability;
// Input values from the user
printf("Enter k value: ");
scanf("%d", &K);
printf("Enter n value: ");
scanf("%d", &n);
printf("Enter p value: ");
scanf("%f", &p);
// Calculate the binomial distribution probability
probability = binomialDistribution(K, n, p);
// Print the result
printf("The answer is %f\n", probability);
return 0;
}
```
In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.
In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.
Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".
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Prove that the medians to the legs of an isosceles triangle are congruent.
Answers
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
PLEASE HELP ME ASAP :(
Answers
Answer:
Step-by-step explanation:
Refer the attachment
Answer:
752.5 in³
Step-by-step explanation:
Volume of composite solidRectangular prism:
l = 10 in ; w = 7 in ; h = 8 in
\(\boxed{\text{Volume of rectangular prism=l*w*h}}\)
= 10 * 7 * 8
= 560 in³
Half cylinder:
Diameter of the cylinder will be equal to the width of the rectangular prism.
r = 7/2 = 3.5 inches ; h = 10 in
\(\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}\)
\(\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3\)
Volume of composite figure = 560 - 192.5
= 752.5 in³
consider the function write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. for example, if the series were , you would write . also indicate the radius of convergence. partial sum:
Answers
To answer your question, I'll first explain what a power series is. A power series is a series of the form:
f(x) = a0 + a1(x-c) + a2(x-c)^2 + a3(x-c)^3 + ...
where a0, a1, a2, a3, ... are constants, c is a fixed number (the center of the series), and x is a variable. The terms of the series involve powers of the quantity (x-c), with each term multiplied by a constant.
Now, let's consider the function f(x) = 1/(1+x). This function can be represented by the power series:
1/(1+x) = 1 - x + x^2 - x^3 + ...
This series has a center of c = 0, and a0 = 1, a1 = -1, a2 = 1, a3 = -1, and so on. To write a partial sum consisting of the first 5 nonzero terms, we simply add up the first five terms:
1 - x + x^2 - x^3 + x^4
This is the partial sum we're looking for. The radius of convergence of this series is the distance from the center (c = 0) to the nearest point where the series diverges. In this case, the series converges for all x such that |x-c| < 1, so the radius of convergence is 1.
I hope this helps! Let me know if you have any other questions.
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Find all roots
y = 3x³ - 7x² − 14x + 24
Answers
Answer:
\(x=-2, x=\frac{4}{3}, x = 3\)
Step-by-step explanation:
First, factor it.
\((x+2)(3x-4)(x-3)=0\)
Use the Zero Factor Principle and equate them each to 0.
\(x+2=0\\x=-2\\\\3x-4=0\\x=\frac{4}{3}\\\\x-3=0\\x=3\)
This is how you find the roots of \(3x^3-7x^2-14x+24\).
WHOEVER GETS THIS QUESTION RIGHT GETS BRAINLIEST!!!
Answers
-3a+4b=15 and 5a-6b=12 please
Answers
Using the substitution method we will see that the solution is:
a = 69
b = 55.5
How to solve the system of equations?Here we want to solve the system of equations below:
-3a + 4b = 15
5a - 6b = 12
We can isolate one of the variables in one of the equations, I will isolate b on the first one.
4b = 15 + 3a
b = (15 + 3a)/4
Now we can replace this on the other equation:
5a - 6*(15 + 3a)/4 = 12
Now we can solve that equation for a.
5a - (6/4)*15 - (6/4)*3a = 12
5a - (3/2)*15 - (9/2)*a = 12
(1/2)*a = 12 + (3/2)*15
a = 2*(12 + (3/2)*15)
a = 24 + 45
a = 69
And the value of b is:
b = (15 + 3a)/4
b = (15 + 3*69)/4 = 55.5
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Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel
Answers
Answer:
1) because they are vertical angles
2) because SAS
3) CPCTC
4) Converse of the Alternate Interior Angles
The population of a town after t years is represented by the function f(t)=7,248(0.983)t. What does the value 0.983 represent in this situation? The population of the town increases by 0.983 each year. The initial population of the town is 0.983. The population of the town decreases by 0.983 each year. The population of the town is 0.983 times the population of the town in the previous year.
Answers
Answer:
The population of the town is 0.983 times the population of the town in the previous
Step-by-step explanation:
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
Answers
Explanation:
The general addition rule is as follows: P(a or b) = P(a) + P(b) - P(a and b). In the context of this problem, the probability that selecting a shape that is blue is 5/12. The probability of selecting a triangle is 3/12. The probability that the shape is blue and a triangle is 1/12. If we substitute these values into the equation, we get P(B or T) = 5/12 + 3/12 - 1/12 = 7/12. We subtract the probability of the shape being blue and a triangle because we do not want to count a shape twice.
wa 20. Describe how to translate the graph of Y = Vx to obtain the graph of = Vx+ 2 Vx+2. shift down 2 units O shift left 2 units shift right 2 units shift up 2 units
Answers
Function transformation rule
• f(x + a) translates f(x), ,a, units to the left
Then, to translates the graph of
\(f(x)=\sqrt[]{x}\)to obtain the graph of:
\(f(x+2)=\sqrt[]{x+2}\)we need to translate it 2 units to the left
An excellent free throw shooter attempts several free throws untilshe misses.
(a) If p=0.9 is her probability of making a free throw, what is theprobability of having the first miss after 12 attempts.
(b) If she continues shooting until she misses three, what is theprobability that the third miss occurs on the 30th attempt?
Answers
(a) To calculate the probability of the first miss occurring after 12 attempts, we need to consider the scenario in which the shooter makes the first 11 shots and then misses the 12th shot. The probability of making a free throw is given as p = 0.9.
The probability of making a shot is 0.9, so the probability of missing a shot is 1 - 0.9 = 0.1. Therefore, the probability of making 11 shots in a row is (0.9)^11.
The probability of missing the 12th shot is 0.1. Since these events are independent, we can multiply the probabilities together. Therefore, the probability of making the first 11 shots and missing the 12th shot is (0.9)^11 * 0.1.
Therefore, the probability of having the first miss after 12 attempts is (0.9)^11 * 0.1.
(b) To calculate the probability that the third miss occurs on the 30th attempt, we need to consider the scenario in which the shooter makes the first 29 shots and then misses the 30th shot.
The probability of making a shot is 0.9, so the probability of missing a shot is 1 - 0.9 = 0.1. Therefore, the probability of making 29 shots in a row is (0.9)^29.
The probability of missing the 30th shot is 0.1. Since these events are independent, we can multiply the probabilities together. Therefore, the probability of making the first 29 shots and missing the 30th shot is (0.9)^29 * 0.1.
However, we also need to consider that the shooter must miss the first two shots before reaching the 30th attempt. The probability of missing two shots in a row is (0.1)^2.
Therefore, the probability that the third miss occurs on the 30th attempt is (0.9)^29 * 0.1 * (0.1)^2.
Note that these calculations assume that each shot is independent of the others and that the shooter's probability of making a shot remains constant throughout the attempts.
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At school, the maximum number of students that can be in a classroom is 27. If there are 18 students signed up for the art class, how many more students can join the class?
I am trying to get the inequality as a problem
Answers
Step-by-step explanation:
x is the number of students than can still join.
x <= 27 - 18
so,
x <= 9
max. 9 more students can join.
14.4x - 28.2 > 36.6
What is the solution to the inequality? Enter the answer in the box.
X>
What’s is this??
Answers
Answer:
x > 4.5
Step-by-step explanation:
Given the inequality :
14.4x - 28.2 > 36.6
Collect like terms
14.4x > 36.6 + 28.2
14.4x > 64.8
Divide both sides by 14.4
x > 64.8 / 14.4
x > 4.5
Which graph represents the scenario? PLEASE HELP VERY EASY
Answers
Answer:
The answer is option B.
The second graph.
Hope this helps you
what is the area of a general quadrilateral
Answers
Answer:
For a general quadrilateral; in addition s=½(a+b+c+d). Right: a parallelogram. Often, however, it is easiest to compute the area by dividing the quadrilateral into triangles. One can also divide into triangles to compute one side given the other sides and angles, etc.
Step-by-step explanation:
Answer:
Area of a general Quadrilateral =12 × diagonal × (Sum of height of two triangle)
A 37-foot ladder is leaning against a building. The angle between the ladder and the top of the building is 21. How far up the building does the ladder reach? Round to the nearest tenth.
Answers
Answer:
34.5 feets
Step-by-step explanation:
Length of ladder = 37 feet
Angle between ladder and top of building = 21°
Since ladder makes a right angle with the foot of the wall;
Angle the ladder makes with the ground :
(90° + 21° + θ) = 180°
111° + θ = 180°
θ = 180° - 111°
θ = 69°
To obtain the height, x of the building reached by the ladder ;
Using Pythagoras :
Sinθ = opposite / hypotenus
Sin 69° = x / 37
x = 37 * sin 69°
x = 37 * 0.9335804
x = 34.542475
x = 34.54 feets
Hence, the height up the building reached by the ladder is 34.5 feets
The base of the right triangle drawn in the regular octagon measures 0. 7 cm. what is the perimeter of the octagon? 11. 2 cm 14. 1 cm 15. 2 cm 20. 8 cm.
Answers
The perimeter of the octagon is (i). 11.2cm
What is a regular octagon?Eight equal sides and eight equal angles make up a normal octagon. Each side is the same length, and each angle is the same size. The total interior and external angles is 1080° and 360°, respectively. The inner angle at each vertex of a regular octagon is 135°.
An octagon has 8 sides.
The perimeter of an octagon is the sum of all sides hence perimeter of a regular octagon is equal to 8 times its side.
The length of the base of the right-angle triangle formed is equal to half the length of each side of the octagon.
Given, the base of the right angle traingle=0.7.
So, the length of the side of the octagon = 2*0.7=1.4.
The perimeter of the octagon is equal to 8*1.4=11.2 cm.
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Write the equation of the line that passes through the given points.
1,2.5) and (0,-1.5)
Answers
Answer:
y = 4x - 1.5
Step-by-step explanation:
We need to find the slope (m) and the y-intercept (b), if we are writing this in the slop intercept form of a line.
y =mx + b
The slope is the change in y over the change in x.
The two points give us the y's ad x's
The y's are: -1.5 and 2.5
The x's are: 0 and 1
\(\frac{-1.5 - 2.5}{0-1}\) = \(\frac{-4}{-1}\) = 4 A negative divided by a negative is a positive.
We have the slope. The slope is the point (0,b). We are given that point.
(o, -1.5) The y-intercept is -1.5
y =mx + b
y = 4x - 1.5
5 = 5x - 20 how many solutions do this equation has
Answers
Answer:
This many.
Step-by-step explanation:
Simplifying
5 = 5x + -20
Reorder the terms:
5 = -20 + 5x
Solving
5 = -20 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
5 + -5x = -20 + 5x + -5x
Combine like terms: 5x + -5x = 0
5 + -5x = -20 + 0
5 + -5x = -20
Add '-5' to each side of the equation.
5 + -5 + -5x = -20 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = -20 + -5
-5x = -20 + -5
Combine like terms: -20 + -5 = -25
-5x = -25
Divide each side by '-5'.
x = 5
Simplifying
x = 5
Given that
P
=
x
y
.
Find
P
when:
x
=
−
3
and
y
=
10
Answers
P = xy
P = -3(10)
P = -30
8/x-12=-8/x
What is the domain restriction from left side of equation?
Answers
The domain restriction in the left side of the equation is x = 12.
What is the domain restriction from left side of equation?Here we have the equation:
8/(x - 12) = -8/x
The domain restrictions are the values of x such that we will have a zero in one of the denominators (this is because we can't divide by zero)
Then we need to remove these values.
We can see that in the left side of the equation, when x = 12 the denominator becomes zero, so that is the domain restriction.
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At Middle school ,60% of the 800 students participate in music. How many students participate in music.???
Answers
Answer:
480
Step-by-step explanation:
800=100% value
x-60%
800/x = 100%/60%
now solve for x
(800/x)*x=(100/60)*x ( multiply both sides of the equation by x )
800=1.66666666667*x ( then we divide both sides of the equation by 1.66666666667 to get x )
480 = x
x= 480
so 60% of 800 is 480
is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Answers
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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Which is the better deal ? Option A : 40 trash bags for $8.00 or Option B : 24 trash bags for $3.60
A - Option A is the better deal
B- Option B is the better deal
C- They are the same price per bag
can anyone help I’m stuck in the middle ?!!?
Answers
Answer:
They're the same
Step-by-step explanation:
Answer:
it's option b
Step-by-step explanation:
option a would be $320 and option b would be $86.40
Using the digits 0-9, at most one time each, create five ordered pair that represent a linear
function that has a greater rate of change than the following (explain how u got that answer)
Answers
Answer:
(-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4)
Step-by-step explanation:
From the graph attached,
Ordered pairs which lie on the given line (-9, 0), (0, 3), (3, 4), (6, 5) and (9, 6).
Since all the points lie on the same line, rate of change of the linear function will be defined by the slope of the given line.
Slope of the line passing through (0, 3) and (3, 4) = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{4-3}{3-0}\)
\(m_1\) = \(\frac{1}{3}\)
Now we have to find the ordered pairs which represent a linear function having slope greater than \(\frac{1}{3}\).
So the points will be (-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4).
Slope of the linear function passing through (-9, 0) and (-8, 1)
\(m_2\) = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{1-0}{-8+9}\)
= 1
Here \(m_2>m_1\)
put the question -3/5+1/3 in simplest form
Answers
Answer:
-4/15
Step-by-step explanation:
-3/5+1/3 = -4/15
The buyer for a chain of stores purchased leather couches in bulk, paying $750 each. The stores will sell each leather couch for $1,275. What is the mark-up percentage?
Answers
Answer:
The mark-up percentage is 70%
Step-by-step explanation:
Let us revise the rule of the mark-up percentage
\(M=\frac{S-P}{P}\) × 100%, where
M is the mark-up percentageS is the selling priceP is the purchasing pricelet us use this rule to solve the question
∵ The buyer purchased leather couches in bulk, paying $750 each
∴ P = 750
∵ The stores will sell each leather couch for $1,275
∴ S = 1,275
→ Substitute them in the rule above
∴ \(M=\frac{1275-750}{750}\) × 100%
∴ \(M=\frac{525}{750}\) × 100%
∴ M = 70%
∴ The mark-up percentage is 70%