Which sequence is an example of an arithmetic sequence?
Question 9 options:
5, 10, 20, 40, 80, …
5, 10, 15, 20, 25, …
–3, –6, –18, –54, …
20, 10, 5, 2.5, …
Answer: the second sequence.
25- 20= 20-15=15-10=10-5.
From this we can see that the common difference is 5
Step-by-step explanation:
I NEED HELP WITH THIS EQUATION
Answer:
Hello! answer: 2/5
Step-by-step explanation:
3 ÷ 7 = 0.428571428571
2 ÷ 5 = 0.4
Therefore 3/7 is bigger then 2/5 Hooe that helps!
Given a sphere with a diameter of 10 cm, find its volume to the nearest whole
number
A. 4187 cm
B. 393 cm
C. 167 cm
D. 524 cm
I’m confused
Answer:
d
Step-by-step explanation:
Need help! I’m rlly struggling with this math. Can anyone explain how to do it?
=======================================================
Explanation:
As you can probably guess, the first equation [tex]a_1 = 3[/tex] says that the first term is 3. The small '1' indicates "first term". So writing [tex]a_2[/tex] represents the second term, then [tex]a_3[/tex] is notation for the third term, and so on.
The second term is found by plugging in n = 2 into the second equation and computing to get...
[tex]a_n = 4*a_{n-1} + 2\\\\a_2 = 4*a_{2-1} + 2\\\\a_2 = 4*a_{1} + 2\\\\a_2 = 4*3 + 2\\\\a_2 = 12 + 2\\\\a_2 = 14\\\\[/tex]
The second term is 14. The steps above basically say: "to get the second term, we multiply the first term by 4, then add on 2"
In other words,
second term = 4*(first term) + 2
second term = 4*(3) + 2
second term = 12 + 2
second term = 14
-----
This can be extended to get the third term
third term = 4*(second term) + 2
third term = 4*(14) + 2
third term = 56 + 2
third term = 58
and finally,
fourth term = 4*(third term) + 2
fourth term = 4*(58) + 2
fourth term = 232 + 2
fourth term = 234
Convert the following degrees into radians: 75°
Answer:
1.309 I just I don't know
Help. Need help. Please help.
Answer:
30 or -30
Step-by-step explanation:
y^2 = 900
Take the square root of each side
sqrt(y^2) = sqrt(900)
y = ±30
The total fees for the high school play are
$250. Tickets to the play cost S5 for
students and S8 for nonstudents. Write a
linear inequality that describes the number
of student and nonstudent tickets that nccd
to be sold for the drama class to be able to
pay the fees.
Answer:
250[tex]\leq[/tex]5s+8ns
Step-by-step explanation:
the total fees are $250, meaning they would still be able to make the fees if they'd oversell the tickets.
each tickets is $5 for students; hence the s
each tickets is $8 for nonstudents; hence the ns
you may replace the variable with anything you'd like or what fits the direction.
The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, The total fees for the high school play are $250. Tickets to the play cost $5 for students and $8 for non students.
Let the cost of students be x and that of non student's be y.
According to question,
5x+8y≥ 250
Hence, The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250
For more references on inequality, click;
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PLEASE HELP ME!!!!!!!!
Answer:
a) = -8
b) 1 - (-7) = 8
b) -7 - 1 = -8
c) for both they are still the same answer so
[1- (-7)] = 8
[-7 - 1] = -8
I'm pretty sure these are the answers hope this helped
Step-by-step explanation:
Angelo drew a scale model of the flagpole at school. If the actual pole is 15 feet tall, and his drawing is 10 inches tall, what scale did he use?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
Angelo drew a model with his drawing length 10 inches tall
The actual pole length is 15 feet tall
drawing scale is the ratio of drawing length to the actual length i.e.
[tex]\Rightarrow \text{Scale used l=}\dfrac{10}{15}\\\\\Rightarrow l=\dfrac{2}{3}[/tex]
One angle of an isosceles triangle measures 30°. Which other angles could be in that isosceles triangle
Answer:
the angles sum of a isosceles triangle is 180 degrees so you can have..
Step-by-step explanation:
75 and 75
100 and 50
uhhhh i think theres more but someone else can list them :)
PLEASE HELP ASAP!! ILL GIVE BRAINLIST!
Tickets for a baseball game sell for $3. One hundred fifty were sold in advance. The stands has 400 seats.
Let A be the total amount of ticket sales, in dollars, including the tickets sold at the door. Which statement best decribes A?
a. A ≥ 1,200
b. 450 ≤ A ≤ 1,200
c. A ≥ 450
d. A ≤ 900
Answer:
b. 450 ≤ A ≤ 1,200 is a required answer.
One fifty sold
Price
150(3)$450Total seats=400
Total price
400(3)$1200So
450≤A≤1200 is correctWhich set of polar coordinates describes the same location as the
rectangular coordinates (3,0)?
A. (-3,270)
B. (3,0°)
C. (3,180)
D. (3,90°)
Answer:
B.(3.0)
Step-by-step explanation:
took the test
Find the mode of the following set of data:
5, 8, 2, 5, 2,5
A 5
B) 2
C 2 and 5
Answer:
A 5 is the mode of the data
Answer:
Option C) 2 and 5
Step-by-step explanation:
Mode :- The only number which appears multiple times
So 2 and 5 appears multiple times...
Sixty students in the freshman class completed a survey about their favorite pet. The results are shown in the bar graph below. Based on the data,
which of the following statements is NOT true?
PETS
DOG
CAT
HAMSTER
FISH
TYPE OF PET
The number of freshman who prefer cats, hamsters, and fish is more than those who prefer dogs.
O Dogs were the preferred pet.
O One-fourth of the freshman surveyed prefer hamsters.
The number of freshman who prefer fish and hamsters is the same as those who prefer dogs.
The most preferred pets by students are Dogs. Therefore, the correct answers are B and C option.
A. It is given that, the number of Dogs are 28.
B. It is given that, the number of other Pets are
7+15+10 = 32
Thus, the number of other pets are greater than dogs.
C. The total number of pets are 60.
Here, the number of hamsters are
1/4 ×60 = 15
D. The number of hamsters and fish
= 15+10 = 25
The number of dogs are more than the number of fish and hamsters
Therefore, the correct answers are B and C option.
Learn more about the bar graph here:
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What is 4/11 simplified
Answer:
4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%
Step-by-step explanation:
The simplified expression of 4/11 is 4/11
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
4/11
This means that we divide 4 by 11
So, we have the following representation
4/11
In the above, we have
The numerator 4 is less than the denominator 11
This means that the expression is already simplified
Hence, the simplified expression is 4/11
Read more about expressions at
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graph the inequality 3x- 6≤ -3
Answer:
x≤ 1
Step-by-step explanation:
3x-6≤ -3
+6
3x≤ 3/3
how to you divide denominators by numerators?
(30 POINTS) Which function is represented by this graph?
A.
f(x) = -|x − 1| + 8
B.
f(x) = -|x − 8| + 1
C.
f(x) = -|x + 8| − 1
D.
f(x) = -|x + 1| − 8
Answer:
A.
Step-by-step explanation:
x-1 moves the graph to the right 1 and + 8 moves it up 8
this puts the vertex at (1,8) and the negative infront of the x makes the graph point down like it is.
The function represented by the graph is : f(x)=-|x-1|+8
The correct option is (A).
What is graph?A graph is a mathematical diagram which shows the relationship between two or more sets of numbers or measurements.
If we look at the graph, only the portion x-1 makes to move the graph to the right 1 and moves it up 8 which makes the coordinate (1,8).
Also, the negative at the front of x makes graph to move downwards.
Hence, the graph represented the function : f(x)=-|x-1|+8
learn more about graph here:
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The volume of a rectangular prism is 945 ft. If it has a length of 15 ft and a width of 9 ft, what is
its height?
Answer: 7ft
Step-by-step explanation:
Rectangular Prism = L x W x H
135H = 945
H = 7 ft
The volume of a cone-shaped hole is 25 pi ft cubed . If the hole is 3 ft deep, what is the radius of the hole?
Answer:
5ft
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Volume = 25π ft cubed
Depth = 3 ft
So, we can calculate the radius by using following formula,
V = 1/3 ×π ×radius squared×depth
25π = 1/3×π×radius squared ×3
Radius squared = 25
Radius = √25
Radius = 5 ft
Hence the radius of the hole is 5 ft.
what is the formula to find angle A? please help
Answer:
Step-by-step explanation:
The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.
what is the answer to this?
Answer:
54mm
Step-by-step explanation:
In the triangle ABC
are drawn two sides
of it, BB1 and AA1.
Those half-edges
intersect at point O.
What is the length of
the semicircular BB1
if B10 = a cm?
Answer:
3a
Step-by-step explanation:
What we have as the point O refers to the centroid of the triangle
The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter
So what we have here is that;
B1O is half the length of BO
So, if B1O is a cm, BO would be 2a
So we have the entire side length measure as;
a + 2a = 3a
find the area of the shaded region. Use 3.14 for pi
Answer:
This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.
Step-by-step explanation:
1. Find the area of the right triangle:
a = 14, b = 2r = 8cm
A1 = ab/2 = 112/2 = 56cm²
2. Find the area of the circle:
r = 4 cm
A2 = πr² = 3.14 × 4² = 50.24cm²
3. Divide the area of the circle to get the area of the semi-circle:
A3 = A2/2 = 50.24/2 = 25.12cm²
4. Add the areas of the right triangle and the semi-circle together:
A1 + A3 = 56 + 25.12 = 81.12cm²
help me pls, i dont understand
Answer:
2
Step-by-step explanation:
to find the slope you do rise over run (2/1)
The probabilty that a student owns a car is 0.65 the porbability that a student owns a compuer is 0.82 the probability that a student owns both is 0.55what is the probability that a student owns both and what is the probability that a student owns none
Question: The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.
a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?
b. What is the probability that a randomly selected student does not own a car or computer?
Answer:
(a) 0.92
(b) 0.08
Step-by-step explanation:
(a)
Applying
Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1
Where A represent Car, B represent Computer.
From the question,
Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55
Substitute these values into equation 1
Pr(A or B) = 0.65+0.82-0.55
Pr(A or B) = 1.47-0.55
Pr(A or B) = 0.92.
Hence the probability that a student selected randomly owns a house or a car is 0.92
(b)
Applying
Pr(A or B) = 1 – Pr(not-A and not-B)
Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2
Given: Pr(A or B) = 0.92
Substitute these value into equation 2
Pr(not-A and not-B) = 1-0.92
Pr(not-A and not-B) = 0.08
Hence the probability that a student selected randomly does not own a car or a computer is 0.08
Solve each equation. Show or explain your reasoning.
−3x − 5 = 16
−4(y − 2) = 12
Answer:
Step-by-step explanation:
First equation: −3x − 5 = 16
Combine the constants:
-3x = 21
Solve for x using division: x = 21/(-3) or x = -7
Second equation: −4(y − 2) = 12
Reduce this by dividing both sides by -4: y - 2 = -3
Add 2 to both sides, to isolate y: y = -1
5. What is the range of the function y = 2x – 4?
Answer:
The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.
graph is linear:
y=2x-4
solve for x=o
y=2x0-4 Eliminate 0
y=-4 solved for y
solve for y=0
0=2x-4 add 4
+4 +4
4=2x divide by 2
/2 /2
4/2 =x
2=x solved for x
calculate the slope
Solve for x=1
y=2x1-4
y=2-4
y=2 solved for y
Calculating the slope
y -y
a= x=1 x=0 =2
1
The graph is
(0, -4) (2, 0)
To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers
D.
D. natural numbers, whole numbers, and integers