In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answer:
A would make sense
Step-by-step explanation:
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :
[tex]3x^3+21x^2+36x=0[/tex]
Taking 3x common.
[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]
x = 3
[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]
Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars?
explain your answer
Answer:
Lot 4 since 61.5% is the highest percentage of blue cars of all lots.
Step-by-step explanation:
Find the percentage that each number of blue cars is in its parking lot.
percent = part/whole * 100%
15 of the 36 cars in lot 1 were blue
15/36 * 100% = 41.667%
43 of the 92 cars in lot 2 were blue
43/92 * 100% = 46.739%
12 of the 30 cars in lot 3 were blue
12/30 * 100% = 40%
32 of the 52 cars in lot 4 were blue
32/52 * 100% = 61.538%
Answer: Lot 4 since 61.5% is the highest percentage of blue cars of all lots.
Answer:
Parking Lot 4
Step-by-step explanation:
15÷36 x 100 = 41.666%
43÷ 92 x 100 = 46.739%
12 ÷ 30 x 100 = 40%
32÷ 52 x 100 = 61%
61% is the largest percentage out of all of them, therefore Parking Lot 4 ( 32 out the 52 cars) is the Parking Lot that has the greatest percentage of blue cars!
CAN I PLEASE BE BRAINLIST?
needing help asap for anyone that knows!!
Answer:the forth answer is correct
Step-by-step explanation:
y+1= 6/11(x+4) convert to standard form please WILL GIVE BRAINLIEST
your answer is:
6x - 11y = -13
~☆
options and question below
Answer:
252 (sorry if im wrong)
Step-by-step explanation:
Answer:
the answer is than u loser for the points :)))) childish kid
Step-by-step explanation:
Find the value of the expression.
z + y2
for y = 6 and z = 1
Answer:
If this is the question then tis is the answer. Thank you. Hope I was of help.
f(x) = -12x + 5. Find f(-3).
Answer:
f(-3) = 41
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -12x + 5
f(-3) is x = -3
Step 2: Evaluate
Substitute in x: f(-3) = -12(-3) + 5Multiply: f(-3) = 36 + 5Add: f(-3) = 41Answer:
f(-3) = 41
Step-by-step explanation:
f(-3) = -12(-3) + 5
f(-3) = 36 + 5 A negative times a negative always equals a positive.
f(-3) = 41
Please give brainliest
PLESE HURRY!!! 40 POINTS! The following system of linear equations is solved by graphing them on the coordinate plane. y=2x−2y=−35x+1 Which ordered pair is the best approximation of the solution to the system? (1,0) (1,1) (0,1) (2,1)
Answer:
its 1,0
Step-by-step explanation:
because im 4o3 iq trust me
We want to solve the given system of equations graphically
The estimated solution that we will get is (0, -2)
The given system of equations is:
y = 2x - 2
y = -35x + 1
To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.
The graph can be seen below, there we can see that the lines intersect near the point (0, -2)
Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.
If you want to learn more, you can read:
https://brainly.com/question/17641264
BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
Answer:
i would go for a but im not really sure. sorry if incorrect
Step-by-step explanation:
how many times can 23 go into 26
Answer: 1.13043478 times
Step-by-step explanation:
what is the total area of the four walls of a rectangular room 12 ft long by 13 ft wide by 9 ft high?
Answer:
your mom
i dunno what else to put here lol
Answer:
Total area of four walls is 450ft
Step-by-step explanation:
First to find area of one wall is lenghth times height 2(12 x 9)
Second to find the area of the two other walls it’s height times width 2(13 x 9)
third add then up and you get 450
Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.
Yeah my math class is coocoo, and im stuck on this. Im slow. Help me :(
Answer:
y=4x+4
Step-by-step explanation:
i was learning this not too long ago so i hope this helps y=mx+b aka slope is 4 and then for b you put the y intercept aka 4 and then the x and y factors you csn leave blank cause you dont have them
An equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.
The coordinates from the line on the graph is (-3, 4) and (3, 2).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Now, slope =(2-4)/(3+3)
= -2/6
= -1/3
Substitute m=-1/3 and (x, y)=(-3, 4) in y=mx+c, we get
4=-1/3 (-3)+c
⇒ c=3
The slope of a line perpendicular to given line is m1=-1/m2
So, slope =3
An equation of the line that passes through (-1,4)
Now, 4=3(-1)+c
c=7
Put m=3 and c=7 in y=mx+c, we get
y=3x+7
Therefore, an equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
Answer: y= -2/3x+4
The X-Intercept is -2/3
The Y- Intercept is 4
Hope this helps!! Have a wonder day everyone!! (:
Step-by-step explanation:
Step one write out the equation 2x+3y=12
Then move the variable to the right hand side and change the sign. 3y=12-2x
Then divide both sides of the equation by 3. You get y=4-2/3x
Then: Use the Commentative Property to reorder the terms. y= -2/3x+4
What is the rule when reflecting across the line y = x
Answer: switch the x and y values of the coordinates
(x, y) —> (y, x)
6. Michelle orders cupcakes that come in a carboard box. The box has the dimensions shown. What is the perimeter of the base? b. What is the height of the box? What is the area of the base
9in,10in,11in
iogmkiuAnswer:
Step-by-step explanation:
gjkih
1. Convert 0.28 to a fraction.
2. Convert 3/5 to a decimal.
3. Convert 185% to a fraction.
NEED THIS DONE ASAP DO TOMORROW
Answer:
0.28 as a fraction is 28/100 and if you need it simplified it is 7/25
3/5 as a decimal is 0.60
185% as a fraction is 185/1 or if you need that simplified it is 1 85/100
Step-by-step explanation:
Ask me if you need it simpler than that and I'll help.
Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.
Answer:
No
No
Yes
Step-by-step explanation:
-1/4 is the only correct solution to the equation represented by the graph.
what is the answer to this?
Answer:
m∠4 = 55°
Step-by-step explanation:
From the figure attached,
m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]
m∠4 = 30° + 25° = 55°
Therefore, m∠4 = 55° will be the answer.
the length of the bos is 2 1/2m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4m^3
Answer:
h=1.3056 m
Step-by-step explanation:
L=2.5m
w=L(1 + 9/16)
w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m
v=Lwh
12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h
12.75m³=(9.765625m²)h
[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h
h=1.3056 m
Answer:
3 3/16
Step-by-step explanation:
If:
Length= 2 1/2
Width=2 1/2 divided by 1 9/16= 1 3/5
Volume=12 3/4
So then, 2 1/2 times 1 3/5=4
12 3/4 divided by 4= 3 3/16
Done!
please help i need this done by the next hour
The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
Answer:
1. 9.8 cm
2. 44.5 cm^2
Step-by-step explanation:
1. To find the length of arc AB, we use the formula for the length of an arc
Mathematically, that will be;
theta/360 * 2 * pi * r
theta is the central angle which is 51
r is the radius which is 10 cm
So we have
51/360 * 2 * 22/7 * 10 = 8.9 cm
2. The area of the sector
we use the formula for the area of a sector here,
That is;
theta/360 * pi * r^2
51/360 * 22/7 * 10 * 10
= 44.5 cm^2
At the beginning of the day there were 90 little fish in the pond.At the end of the day there were 52 little fish in the pond.Find the percent decrease from the beginning of the day to the end of the day.Round to the nearest percent. *
Answer:
42%
Step-by-step explanation:
The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.
90 -52
= 38 fishes
Therefore the percent decrease can be calculated as follows
= 38/90 × 100
= 0.422 × 100
= 42.2 %
= 42% ( to the nearest cent)
How would you compare two ratios given in words? please help i got this wrong the first time.
Write the ratios as fractions. Then identify a common denominator. Rewrite the fractions using the common denominator. Compare the numerators. The greater numerator indicates the greater ratio.
I hope this helps :)
Please help me for 15 points ASAP
Answer:
Option A
Step-by-step explanation:
The question asks how much did Sarah spend per book.
The statement in the problem that she $42.20 on 2 books would be enough information to solve the question given.
Using the information, we would find the unit rate of the price to get our answer.
Hope this helps.
FOLLOW MY INSTAGRM exotic.jaliyah FOR A FOLOW BACK
Step-by-step explanation
ee
Answer:
No thanks
Step-by-step explanation:
Please help. For those that help, thank you and have a good day!
Answer:
1) A
2)C
3)B
4)D
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
how many times does 46 go into 296?
Answer:
6.4347826087
Step-by-step explanation:
Can u guys plz give me ALL the following answers to graph 1.
i like yo cut g'slol
There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Answer:
12 Men
Step-by-step explanation:
Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D