Answer:
A. discrete
B. discrete
C. continuous
D. continuous
Step-by-step explanation:
When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.
__
When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.
There are 34 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
Answer:
About 85.29 percent
Step-by-step explanation:
Recall that a percentage can also be represented as a proportion under 1; for example, 30 percent is .30 as a proportion of 1. So here we have 29 carpenters out of 34 that showed up, a ratio of .8529 showed up to work, and .8529 balance translates to 85.29 percent.
So 85.29 percent of the carpenters showed up to work.
On the highway, a car can travel 21 miles per gallon of gas. If the car travels for 4 hours on the highway at a rate of 65 miles per hour, how many gallons of gas should the car use, to the nearest tenth of a gallon?
Answer:
5.36
Step-by-step explanation:
If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.
As a result, the distance traveled by car,
Distance = speed × time
Distance = 65 miles / hr × 4 hr
Distance = 260 miles
The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:
= 260 miles / 21 miles per gallon
= 12.38 gallon
The value nearest tenth of a gallon is,
=12.4 gallons
Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.
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if f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)
Answer:
x² + 8
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 2x² + 1 - (x² - 7)
= 2x² + 1 - x² + 7 ← collect like terms
= x² + 8
What is 6n+5=17
WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Let's solve your equation step-by-step.
6n+5=17
Step 1: Subtract 5 from both sides.
6n+5−5=17−5
6n=12
Step 2: Divide both sides by 6.
[tex]\frac{6n}{6} =\frac{12}{6}[/tex]
[tex]n=2\\[/tex]
I hope this help's :)
Answer:
n = 2
Step-by-step explanation:
[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]
Hope this helps! Brainliest would be really appreciated!
Anyone please solve and explain part b
Answer:
f(2) = -6
f inverse of 1/2 is 17/2
Step-by-step explanation:
We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]
To solve for part (a), we have to substitute x = 2 in f(x).
[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]
Therefore, f(2) is -6.
Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).
[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]
To solve for part (b), first we solve for x in the function. Let f(x) = y.
[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]
Multiply both sides by 2x-5.
[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]
Divide both sides by y-term.
[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]
Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]
Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]
Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]
____________________
Let me know if you have any questions in comment.
Describe how modern entertainment has begun to reflect the changing makeup of families in America.
It should be noted that modern entertainment has played a vital role in shaping African culture and homes.
Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.
Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.
Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.
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Help me please with this!…………………
Answer:
x = 2
Step-by-step explanation:
The two angles are congruent because they are alternative interior angles.
9x + 4 = 3x + 16
9x - 3x + 4 = 3x - 3x + 16
6x + 4 = 16
6x + 4 - 4 = 16 - 4
6x = 12
x = 2
The table shows the relationship between the two variables. Which selection describes the relationship?
The table and options are below!
Answer:
D.
Step-by-step explanation:
It's not linear but it is decreasing.
Answer: Firstly, we take a look at the Y numbers to figure out if we're increasing or decreasing. Obviously, the numbers are going into the negatives so we know it's decreasing. After plotting the graph you'll see it's constant and in a straight line making it linear. So, your answer would be decreasing; linear.
(13-(4-1)-2)+4 Help I got finals and don't understand
Answer:
12
Step-by-step explanation:
( 13-3-2) +4
= 8 +4
=12
If a = 3.9 cm, b = 2.5 cm, c = 4.6 cm, d = 3.5 cm, and e = 1.2 cm, what is the perimeter in centimeters of the polygon? Do NOT label your answer. Use numbers ONLY.
Answer:
perimeter= 3.9+2.5+4.6+3.5+1.2= 15.7cm
M<2= x+49 (geometry)
Which one cuz they are in different order.!!!
Answer:
wot
Step-by-step explanation:
Please help! With steps included :)
Answer:
Top question: -7°
Bottom question : 18°
Step-by-step explanation:
Top question:
The base angles of am isosceles triangle are congruent:
x + 46 = 39 because the base angles of an isosceles triangle are congruent
x + 46° = 39°
x = -7°
Bottom question
The missing angle is 3x because the base angles are congruent
To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°
3x + 3x + 4x = 180°
10x = 180°
x = 18°
Sorry for the late post!
-Chetan K
can someone please help me with this, thank you (picture attached)
Answer:
I can help you with it
Step-by-step explanation:
What is the percent of change from 46 to 69?
Answer:
percent of change =0.5
Step-by-step explanation:
x1=46 x2=69
(x2-x1) / x1
69-46 = 23 / 46 = 0.5
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
[tex]\frac{54}{75} = 72[/tex]
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
Have a great day/night/afternoon!
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Help please
:Ccccccccccccccccccccccccc
Answer:
1. false
2. true
Step-by-step explanation:
sorry if wrong
What is the value of x?
70°
35°
30
Answer:
75 degrees
Step-by-step explanation:
all added up is 180 on every triangle. 70+35=105. 180-105=75
Please help. Picture uploaded below.
Answer: The answer is the number of each type of topping ordered.
What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?
Answer:
56xy23
Step-by-step explanation:
56 x 12 bhi 56 xy23
Easy peace math problem
Answer:
225/10=441/l
cross multiply
225l=10*441
225l=4410
l=4410/225
l=19.6 liters of gas
Step-by-step explanation:
l=19.6 liters of gas
If correct Brainlyest
Answer:
c is the answer
Step-by-step explanation:
simplified on left-hand side is 2<5 and it is the same as -2<5
hope this helped :)
Find the slope of the line (-3,-2),(1,-2)
Answer:
0
Step-by-step explanation:
The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph
Please solve this question
Answer:
K so we want to find angle EFC
Its a much longer process
AC is a line, so its 180 degrees
ED is 32 (This also makes AB 32 degrees)
Now we need DC
Find the other side angle length
180 - 32 - 87 = 61
theta is 61+32
2. Sol went to the store to buy tomatoes. They were $1.89 per pound: Last week, the
price per pound was 30% lower. What was the price of tomatoes last week?
Answer:
1.323
Step-by-step explanation:
We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567
Then, we must subtract: 1.89 - 0.567 = 1.323
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of the port. What is the bearing of the warning buoy as seen from the ship after 7.5 hours?
The value of the angle subtended by the distance of the buoy from the
port is given by sine and cosine rule.
The bearing of the buoy from the is approximately 307.35°Reasons:
Location from which the ship sails = Port
The speed of the ship = 10 mph
Direction of the ship = N35°W
Location of the warning buoy = 5 miles north of the port
Required: The bearing of the warning buoy from the ship after 7.5 hours.
Solution:
The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Where;
a = The distance between the ship and the buoy
b = The distance between the ship and the port = 75 miles
c = The distance between the buoy and the port = 5 miles
Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°
Which gives;
a = √(75² + 5² - 2 × 75 × 5 × cos(35°))
By sine rule, we have;
[tex]\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}[/tex]
Therefore;
[tex]\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}[/tex]
Which gives;
[tex]\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}[/tex]
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}[/tex]
Similarly, we can get;
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}[/tex]
The angle subtended by the distance of the buoy from the port, C is therefore;
C ≈ 180° - 142.68° - 35° ≈ 2.32°
By alternate interior angles, we have;
The bearing of the warning buoy as seen from the ship is therefore;
Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°
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What is the measure of the third angle of this triangle?
Please explain how to solve in a easy way
A small van holds 8 students and a large van holds 12 students. There are a total of 48 students who plan to go on the field trip.
The formula for determining the frequency, f, of a note on a piano is mc016-1. Jpg, where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C? 29. 3% 41. 4% 70. 7% 182. 3%.
Answ
its a just did this
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?
Answer:
$132.74
Step-by-step explanation:
6.75% = 0.0675
Multiply 124.35 by 1.0675 because sales tax is added to original cost.
(124.35)(1.0675) = 132.74
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?The percentage is the value per hundredth.
According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.
∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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