What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
a.
-8, -13, -18
c.
2, 7, 12
b.
3, 8, 13
d.
0, 5, 10
Answer:
C
Step-by-step explanation:
Its adds 5 each time
The next three terms of Sequence is 2, 7, 12.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
Given:
-18, -13, -8, -3,…
Now, the common difference = -13 - (-18)= -13 + 18 = 5
So, the formula for nth term will be
[tex]a_n[/tex] = -18 + 5(n-1)
Then, n= 5th term
[tex]a_n[/tex] = -18 + 5(5-1)
[tex]a_n[/tex] = -18 + 5(4)
[tex]a_n[/tex] = -18 + 20
[tex]a_n[/tex] = 2
and, n= 6th term
[tex]a_n[/tex] = -18 + 5(6-1)
[tex]a_n[/tex] = -18 + 5(5)
[tex]a_n[/tex] = -18 + 25
[tex]a_n[/tex] = 7
and, n= 7th term
[tex]a_n[/tex] = -18 + 5(7-1)
[tex]a_n[/tex] = -18 + 5(6)
[tex]a_n[/tex] = -18 + 30
[tex]a_n[/tex] = 12
Hence, the next three terms are 2, 7, 12.
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How far did they travel per hour
Answer:
37.5 miles per hour
Step-by-step explanation:
d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)
225= 6r
225/6 = 6r/6
37.5= r
37.5 miles per hour
Hope this helps!
ASAP
Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet
Answer:
The area of the pool is [tex]864\ ft^2[/tex]
The pool's width is 36 ft
Step-by-step explanation:
Volume and Area
The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]
Since:
[tex]V= d*A[/tex]
Solving for A:
[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]
The area of the pool is [tex]864\ ft^2[/tex]
Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:
[tex]A=L*W[/tex]
Solve for W:
[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]
The pool's width is 36 ft
AGIAN HELP!!!!Identify the point on the vertical axis (y-axis) and state the real-world meaning of that point.
Answer:
The point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Step-by-step explanation:
From the graph
The y-axis represents the height above the sea level in feetThe x-axis represents the hours hiking→ The point on the vertical axis (y-axis) represents
The initial height above the sea levelThis point is the starting point of hikingIt called the y-intercept (0, 2000)→ Which means it represents their height at 0 hour
→ The real-world meaning of that point is:
They are 2000 feet above the sea level when they decided to start hikingThe point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
What is 5x+4= 14 Solve for x
Answer:
2
Step-by-step explanation:
5 x 2=10+4=14
x=2
Write 0.31 Repeating
as a fraction in simplest form.
Answer:
The answer is 31/100
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 2 numbers to the right of the decimal point, place the decimal number over 10 2 ( 100 ) . Next, add the whole number to the left of the decimal.
I need somebody’s help
Answer:
x= 40
so
3x-5= 115
2x-15= 65
Step-by-step explanation:
C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!
Answer:
C
Step-by-step explanation:
The 2 angles are same- side interior angles and are supplementary, thus
3x - 5 + 2x - 15 = 180, that is
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Thus
3x - 5 = 3(40) - 5 = 120 - 5 = 115°
2x - 15 = 2(40) - 15 = 80 - 15 = 65°
On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The Sun has a radius of about 865,000 kilometers.
Could the Earth's orbit be a circle with some point in the Sun as its center? Explain your reasoning.
Answer:
No
Step-by-step explanation:
It could not because in order for it to be a circle the number of kilometers would have to be constant, however in earth's orbit it is not constant, therefore it is an oval, not a circle.
Help me please picture is attached
I NEED HELP IMMEDIATELY 20 POINTS
(x)3.0-(fx)4.0
(x)3.5-(fx)-0.2
(x)4.0-(fx)-0.8
(x)4.5-(fx)0.1
(x)5.0-(fx)0.6
(x)5.5-(fx)0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 3.0 and 3.5 and between 4.0 and 4.5
B. between 3.5 and 4.0 and between 4.0 and 4.5
C. between 3.5 and 4.0 and between 5.0 and 5.5
D. between 4.0 and 4.5 and between 4.5 and 5.0
Ella purchased a 6-pack of cola for $3.84. What is the cost of 1 can of cola?
Answer:
$0.64
Step-by-step explanation:
6 cans of soda = $3.84
3.84 / 6 = 0.64
1 can of soda = $0.64
Answer:
$0.64
Step-by-step explanation:
Jezebel is planning a party at the skating rink. The cost for each person attending is $3.50 for skate rental and $5.00 for food. Jezebel cannot spend more than $300. Which inequality could be used to find the greatest number of people, p, that can attend?
Answer:
The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.
Step-by-step explanation:
From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:
3.50p+5.00p≤300
8.50p≤300
Now, you can solve for p:
p≤300/8.50
p≤35
According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.
Carolyn and her basketball team are traveling form Oak City to the beach for the championships. The distance to the beach is about 1,344 miles. The team plans to drive 50 miles per hour. About how many hours will it take for Carolyn and her team to get to the beach?
Answer:
It will take 26.88hours to get to the beach
Step-by-step explanation:
From the problem statement, we are asked to find the time required to reach the beach.
given data
distance s=1344 miles
speed v= 50 mph
time t=?
we know that the relationship between speed, distance and time is given as
velocity=distance/time
substituting our given data into the expression we have
50=1344/t
making t subject of the formula we have
t=1344/50
t= 26.88 hours
Therefore it will take 26.88hours to get to the beach
4 movie tickets cost $48 what is the cost per ticket
Answer:
12
Step-by-step explanation:
divide 48 by 4 and the answer should be 12, that is the cost per ticket.
Answer:
Each ticket cost $12
Step-by-step explanation:
So we can say:
4x = $48
we can divide each side by 4 and get:
x = $12
Hope that helps!!
write 843 in scientific notation.
a x 10b
Follow the steps below to see how 843 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 843New Number: 8.43Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.43Decimal Count:12
There are 2 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.43
b = 2
Now the whole thing:
8.43 x 102
Step 4
Check your work:
102 = 100 x 8.43 = 843
More Scientific Notation Examples
8418428448458.41 x 1028.42 x 1028.44 x 1028.45 x 102
Which expression has a positive value?
O-4+(-5)(-6)+(-3)
810-(2)(-2)]
3(-64-8) + 25
-2(-5) (-3) + 10
Answer:its c
Step-by-step explanation:
Took the test
Answer:
C
Step-by-step explanation:
A truck driver has to make a delivery at
a location that is 230.2 miles away. She
drives an average of 55 miles each hour
for 3.25 hours. If the truck driver
continues at the same speed, will she
make it to the location in the next
hour?
A Yes, she only has 51.45 miles to go.
® Yes, she only has 52.55 miles to go.
© No, she still has 63.45 miles to go.
D No, she still has 64.65 miles to go.
Answer:
Option A is correct
Step-by-step explanation:
Speed of truck = 55 miles/hour
Time taken = 3.25 hours
Distance = Speed × Time
[tex]=55[/tex] × 3.25
[tex]=178.75[/tex]
But truck driver has to make a delivery at a location that is 230.2 miles away.
Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles
So,
Yes, if the truck driver continues at the same speed, she will make it to the location in the next hour such that she only has 51.45 miles to go.
Option A is correct
We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."
Working with speeds:So we know that she needs to travel a total distance of 230.2 miles.
Now, remember the relation:
Speed*time = distance.
And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:
(55 mi/h)*3.25 h = 178.75 mi
Then the remaining distance is just:
230.2 mi - 178.75 mi = 51.45 mi
Will she make it in the next hour?
Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.
The correct option is A: "Yes, she only has 51.45 miles to go."
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find x, if ∠1 and ∠2 are a linear pair. m∠1 = 20+5x and m∠2 =x+10
Answer:
[tex]\boxed { x = -\frac{5}{2}}[/tex]
Step-by-step explanation:
To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:
[tex]\angle 1 = 20 + 5x[/tex]
[tex]\angle 2 = x + 10[/tex]
[tex]20 + 5x = x + 10[/tex]
Solve for [tex]x[/tex]:
[tex]20 + 5x = x + 10[/tex]
[tex]20 + 5x - x = x - x + 10[/tex]
[tex]20 + 4x = 10[/tex]
[tex]20 - 20 + 4x = 10 - 20[/tex]
[tex]4x = -10[/tex]
[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]
[tex]\boxed { x = -\frac{5}{2}}[/tex]
So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].
What is the sum of the square root of 2 and the square root of -18?
O 42
0 421
O 52
O 5ſi
Answer:
4 ·2i
Step-by-step explanation:
√2 + √-18
√2 + √9·-2
√2 + 3√-2
(3 +1 )(√2 ·√-2) = 2i
4 · 2i
Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4
1/4+1/2=15/60+30/60=?
Answer:
[tex]\frac{3}{4} =\frac{3}{4}[/tex] Which means its true
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer: True
Step-by-step explanation:
Identify the property used in the first four steps to solve the equation (FAST ANSWERS PLS)
4(x-7)=2x-6
Step 1: 4x-28=2x-6
Step 2: 2x-28=-6
Step 3: 2x=22
Step 4: x=11
9514 1404 393
Answer:
distributive propertysubtraction propertyaddition propertydivision propertyStep-by-step explanation:
1. The parentheses are eliminated. The distributive property lets you do that.
2. 2x is subtracted from both sides. The subtraction property of equality lets you do that.
3. 28 is added to both sides. The addition property of equality lets you do that.
4. Both sides are divided by 2. The division property of equality lets you do that.
Determine the value of y, if x is –9.
y= | x | +1
Answer:
The value of y for the equation y = |x| + 1 is 10.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
y = |x| + 1 (1)
To find the value of y when x is - 9.
Substitute the value of x in equation (1),
y = |-9| + 1
The mode value of is always positive,
y = 9 + 1
y = 10
The required value of y is 10.
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Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A.) Gloria’s time was 0.5 minutes faster.
B.) Richard’s time was 0.5 minutes faster.
C.) Gloria’s time was 2.5 minutes faster.
D.) Richard’s time was 2.5 minutes faster.
Answer:
the correct answer is C
Step-by-step explanation:
Type the next step in the pattern. 4, 12, 6, 18, 9,
Answer:
Something does not make sense...
Step-by-step explanation:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence
Between what two integers is the square root of 56.25?
Answer:
7 and 8
Step-by-step explanation:
Calculate the square root and you get 7.5 The number 7.5 is in-between the numbers 7 and 8. Hope this helps
What congruency theorem would this be: SSS, SAS or ASA and why?
Which city is closest to sea level?
Answer:
City A
Step-by-step explanation:
I mean B C and D are all about 0.5 or -0.5 while B is 1 3/4
So...
A is the closest because its legit 0.25 meters away while others are 0.5 meters away.
And 0.5-0.25 shows that 0.25 is less than 0.5.
Given h(x) = -2x – 5, find h(-2)
Answer:
-1
Step-by-step explanation:
they gave you the value to x so all you have to do is plug it in
h(-2) = -2 (-2) - 5
h(-2) = 4 - 5
h(-2) = -1
Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1
Given the function :
h(x) = - 2x - 5At h(-2) :
h(-2) = - 2(-2) - 5
h(-2) = 4 - 5
h(-2) = - 1
Therefore, the value of h(-2) is - 1
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Select the equivalent expression.