Answer:12
Step-by-step explanation:
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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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
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].
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°
Find the variable of x.
8x-2=-9+7x
Answer:
8x-2=-9+7x equals X=-7
Answer:
x = -7
Step-by-step explanation:
The parent function, fx) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and up
two units.
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:
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
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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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!
4/9 divided by what equals 12?
:)
Answer:
(4/9)/x = 12
(4/9) = 12x
Divide both sides by 12
27 is right
hope it helpAnswer:
its just 27
Step-by-step explanation:
whoever answered before was wrong
What is 5x+4= 14 Solve for x
Answer:
2
Step-by-step explanation:
5 x 2=10+4=14
x=2
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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Laurie used 5 yards of fabric to make 2 costumes for the school play. How many yards of fabric would she need to make 20 more of these costumes?
Answer:
50 yards.
Step-by-step explanation:
Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)
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.
please help need this done by at least 10 thx
Answer:
-10
Step-by-step explanation:
∛-1000=-10
Answer:
-10
Step-by-step explanation:
First...
A cube root is to find a number that if multiplied three times by its self equals this number. (sorry a little confusing)
Next...
Forget about the negative for a little bit and look at it.
10*10*10=1000
Finally...
If 10 cubed is positive 1000 then -10 cubed is -1000.
So the answer is -10.
What congruency theorem would this be: SSS, SAS or ASA and why?
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
Draw a coordinate plane on your paper and graph the following using intercepts. x+2y = 6 2x-y= 4
The red one is [tex]x +2y = 6[/tex] and the blue one is [tex]2x -y = 4[/tex]
The black points are the y-intercepts and and purple ones are the x-intercepts.
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.
Marry has 13 cats if she sold 7 brown cats and sold 2 black cats then how many white cats are there in total
4 White Cats
( 13 - 7 ) - 2
6 - 2
4
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
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.
Select the equivalent expression.
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:
What is 0.00005 in standard form?
Answer:
0.00005 is in standard form.
Step-by-step explanation:
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
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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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!!
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