Answer:
2/5
Step-by-step explanation:
perpendicular line means the two lines' slope when multiplied together gives a answer of -1.
hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.
slope of the line PQ:
(7-5)/(-3-2) = -2/5 (slope formula)
slope of the perpendicular line:
-2/5 x slope = -1
slope = (-1)/(-2.5) = 2/5
What is the slope of the linear table below?
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-8}{0+3}[/tex] = [tex]\frac{2}{3}[/tex] → A
If I read 4 pages of a book in 5 minutes, how many pages did I read per minute?
Answer:
about a half a page
Step-by-step explanation:
In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet.
(a) How many different license plates can the country produce?
(b) How many license plates have no repeated letter? (c) How many license plates have at least one repeated letter?
(d) What is the probability that a license plate has a repeated letter? (Round your answer to the nearest whole percent.)
Answer:
Step-by-step explanation:
From the given information:
The number of different license plate the country can produce is in the form:
=L₁L₂L₃L₄ or L₁L₂L₃L₄L₅ or D₁L₁L₂L₃L₄ or D₁L₁L₂L₃L₄L₅
∴
The Total number of the license plate that can be produced is;
= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)
= 456976 + 11881376 + 4569760 + 118813760
= 135721872
Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)
= 11 P(26,4P + 11 P(26,5)
[tex]=11 \times \dfrac{26!}{(26-4)!} + 11 \times \dfrac{26!}{(26-5)!}[/tex]
= 90776400
c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.
= 135721872 - 90776400
= 44945472
d) The probability that a licensed plate has repeated letter is:
[tex]= \dfrac{no(rep \ letter) }{n (total)} \times 100\%[/tex]
[tex]= \dfrac{44945472}{135721872}\times 100\%[/tex]
= 33.12%
A) The country can produce 118,813,760 different licence plates.
B) 78,936,000 license plates have no repeated letter.
C) 39,877,760 license plates have at least one repeated letter.
D) The probability that a license plate has a repeated letter is 33.56%.
Given that in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet, to determine (A) how many different license plates can the country produce; (B) how many license plates have no repeated letter; (C) how many license plates have at least one repeated letter; and (D) what is the probability that a license plate has a repeated letter, the following calculations must be performed:
A)
10 x 26 x 26 x 26 x 26 x 26 = X 10 x 11,881,376 = X 118,813,760 = X
B)
10 x 26 x 25 x 24 x 23 x 22 = X 10 x 7,893,600 = X 78,936,000 = X
C)
118,813,760 - 78,936,000 = X 39,877,760 = X
D)
118,813,760 = 100 39,877,760 = X 39,877,760 x 100 / 118,813,760 = X 33.56 = XLearn more about quantities in https://brainly.com/question/12161780
Which equation has infinitely many solutions?
Megan makes and sell slime online.
Answer:
44 containers
David bought 3 1/3 fabric . How much is this in feet?
Answer:10 feet, I think
Step-by-step explanation:
Which expression is equivalent to 2(m − 5) + 6?
2m − 1
2m + 22
2m − 4
2m + 16
Answer:
The answer is c
Step-by-step explanation:
You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?
Answer:
6
Step-by-step explanation:
just did on edge
Answer:
C. 6
Add
-2,-4
YOUR WELCOME ;)
Step-by-step explanation:
EDGE2021
What is the GCF of 8 and 20
O 8
O2
O 4
O 10
Item
Price
Markup %
Markup
Retail Price
Shoes
$75.38
39%
$
What is the area of the figure?
A. 36 cm2
B. 26 cm
C. 15 cm
D. 42 cm2
Answer:
Sorry to break it to ya but the other answer is wrong and the correct answer is A. 36 cm^2
Step-by-step explanation:
1. Divide the figure into 2 figures.
2. Calculate the first figure by multiplying the length (7 cm) and width (4 cm).
3. After that, we get 28. Do the same to the other figure. (4 cm x 2 cm = 8 cm).
4. Combine the 2 areas to get your total area. (28 + 8 = 36 cm^2).
5. NEVER forget the "^2" meaning squared when calculating the area.
Hope this helps, have a good day/night. :)
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the figure is 36 cm².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of the rectangle with a length of 3 cm and wide 5cm is 15 cm².
We have,
A figure.
The figure has two rectangles.
One rectangle:
Length = 4 cm
Wide = 7 cm
Area of the rectangle = 4 x 7 = 28 cm²
Another rectangle:
Length = 2 cm
Wide = 4cm
Area of the rectangle = 2 x 4 = 8 cm²
The area of the figure.
= 28 + 8
= 36 cm²
Thus,
The area of the figure is 36 cm².
Learn more about rectangles here:
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Graph the set on the number line.
What is the domain of the function for this situation?
Answer:
There is no problem. If you put the problem then i'll help
Step-by-step explanation:
a = 65 – 100n
Find a
39
How many is 3+7??staijsvsvsgsusidvsvsuoshsgsusisishsbvsss
Answer:
10
Step-by-step explanation:
Four less than 6 times a number is the same as the number plus 11.
Complete the equation
Answer:
×=3
Step-by-step explanation:
6x-4 = x+11
6x-x = 11+4
5x = 15
x = 3
what is 40/17 rounded to the nearrst hundreth as a decimal
Answer:
★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35
Step-by-step explanation:
Hope you have a great day :)
PLEASE HELP!
Identify the y-intercept and zeros of
y = x^4 - 9x^2 - 36
Algebraically
Answer:
Our y-intercept is (0, -36).
Our real zeros are: (-2√3, 0) and (2√3, 0)
And our imaginary zeros are: (i√3, 0) and (-i√3, 0)
Step-by-step explanation:
We have the function:
[tex]y=x^4-9x^2-36[/tex]
Let's identify the y- and x-intercepts.
Y-Intercept:
To determine the y-intercept, we will substitute 0 for x and solve for y. So:
[tex]y=(0)^4-9(0)^2-36[/tex]
Evaluate:
[tex]y=-36[/tex]
Therefore, our y-intercept is at (0, -36).
X-Intercepts:
To determine our x-intercepts, we need to substitute 0 for y and solve for x. So:
[tex]0=x^4-9x^2-36[/tex]
Now, we can factor. Before doing so, we can make the factored easier to see by converting this into quadratic form. Let's let u=x². Then:
[tex]0=(u^2)^2-9(x^2)-36[/tex]
Substitute:
[tex]0=u^2-9u-36[/tex]
Now, let's factor. We can use -12 and 3. So:
[tex]0=u^2+3u-12u-36 \\ 0=(u(u+3)-12(u+3)) \\ 0=(u-12)(u+3)[/tex]
Now, we can substitute back u:
[tex]0=(x^2-12)(x^2+3)[/tex]
Zero Product Property:
[tex]x^2-12=0\text{ or } x^2+3=0[/tex]
Solve for x in each case:
[tex]x^2=12 \text{ or } x^2=-3[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus. Therefore:
[tex]x=\pm\sqrt{12}=\pm2\sqrt{3}\text{ or } x=\pm\sqrt{-3}=\pm i\sqrt{3}[/tex]
Therefore, our zeros (both real and imaginary) are: (2√3, 0), (-2√3, 0), (i√3, 0), and (-i√3, 0)
What is the x-intercept of the line?
(-38,40)
(-23,30)
(-8,20)
The answer fam is.......... 22
HELPPP ME PLEASSSEE :(
I am pretty sure the answer is d.
Answer:definitely a trinomial expression.
Step-by-step explanation:
Since it has 3, it’s a trinomial.
algebra 2. pls help:(
D. Find the coordinates of the vertex
Vertex: ( , )
Please anyone helps me
Answer:
(-2,4)
Step-by-step explanation:
15 POINTS IF U ANSWER
Answer:
we need explaining of this question
Solve 8x - 2(x + 1) = 7x + 8.
The answer is
X = -10
Apologies though, I am not good at explaining.
A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°
Answer:
we have the same question
Step-by-step explanation:
please tell me what you got when you receive an answer
Answer:
30 degrees
Step-by-step explanation:
we need to compute angle A and angle B (see figure below)
hence,
[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]
this implies that A=60 degrees.
Since interior angles of a triangle add up 180 then,
A+B+90=180
60+B+90=180
B+150=180
B=180-150
B=30 degrees
which is the smallest angle
Rods car takes 14 gallon to fill up and gets 35 miles per gallon rod drives 17.5 miles a day can rod go a whole month with out filling up
Answer:
No
Step-by-step explanation:
Rod would have to fill his care up 7 times to drive a whole month, cause a month would be 225 miles and his car holds 35 miles worth of gas.
Which of the following statements is NOT equivalent to the statement, 'There exists either a
computer scientist or a mathematician who knows both discrete math and Java.
The correct answer is computer scientists because they know both discrete math and java.
Given that,
"There exists either a computer scientist or a mathematician who knows both discrete math and Java." is to be discussed.
Java is a computer programming language, which helps to build software and program on computers.
here,
Mathematicians do have knowledge of discrete math but they do not have known what actually java is, while being a computer scientist one should have knowledge of both discrete math and Java.
Thus, the correct answer is computer scientists because they know both discrete math and java.
Learn more about java here:
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9. A company's quality control department found and average of 1.6 defective
models for every 1000 models that were checked. If the company produced
160,000 models in a year, how many of them would be expected to be
defective?
(a) 356
(b) 256
(c) 476 (d) 856
Miss Holman bought a meal that cost $6.25. She gave her server $1.25 tip. What percent did she tip her server?
Answer:
20%
Step-by-step explanation:
6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.
I NEED HELP WITH THIS MATH PROBLEM!!