The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Learn more: brainly.com/question/14069515
whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
What is the slope of the line? 2x+4y=6-y
Answer:
m= -2/5
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope m.
Answer:
-2/5
Step-by-step explanation:
plz mark brainliest!
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
plz help will be marked brillent 5 stars and thanks !!!!
Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?
Answer:
Step 1
Step-by-step explanation:
he added 4 to the other side instead of taking away 4
Answer:
step 1
Step-by-step explanation:
3x - 36 + 2y = 0
Help! Please show work and match the algebraic function to the correct graph.
Answer:
The answer is Graph III.
Step-by-step explanation:
Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :
[tex]3x - 36 + 2y = 0[/tex]
[tex]2y = - 3x + 36[/tex]
[tex]y = - \frac{3}{2} x + 18[/tex]
Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.
Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
∆ARE ≅ ∆ _______
By rule _________
Answer:
ARE is congruent to ARC
By rule SSS
Step-by-step explanation:
Welp that's just the answer.
Hope this helps
A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254 said that they would vote “yes” on the referendum. Create a 95% confidence interval for the proportion of likely voters who will vote “yes” on the referendum. Use Excel to create the confidence interval, rounding to four decimal places.
Answer:
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Step-by-step explanation:
We have given,
x=254
n=458
Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]
Level of significance is =1-0.95=0.05
Z critical value(using Z table)=1.96
Confidence interval formula is
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.
Considering the equation for the volume of a cylinder, it is found that the correct statement is:
A. The volume of cylinder X is less than the volume of cylinder Y.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
Answer:
It is answer B
Step-by-step explanation:
this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Answer the question below
Answer:
a) The modal average is 3 bedrooms
b) The mean number of bedrooms is 2.825, or 3 rounded.
Step-by-step explanation:
If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.
For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ7
Please help ASAP- will give brainliest! Picture Below
Answer:
c
Step-by-step explanation:
Answer:
A - ( 2, - 4 )
Step-by-step explanation:
M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )
Each banana weighs 1/2 pound. How many bananas are there in 3 pounds?
Answer:
6
Step-by-step explanation:
3 divided by 1/2 is equal to 6
Answer:
6 bananas are in 3 pounds.
Step-by-step explanation:
Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
if the sample does not come from a normally distributed population?
mu >= 30
x >= 30
n>= 30
N>= 30
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
It's C.
Step-by-step explanation:
I took the test
What is the factored form of x2 - 9x + 20?
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
Twin brothers need help can anybody help them?
Answer:
210 cm^2
Step-by-step explanation:
3x-1 + 4x+1 + 3x = 70
10x = 70
x = 7
Now, Area of the triangle is 1/2 * b * h
therefore,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210
210 is the area!
Hope this helps! mark as brainliest if helped! thanks!
210 cm^2
3x-1 + 4x+1 + 3x = 70
Simplify
10x = 70
divide by 10
x = 7
So,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210 would be your final answer
Step-by-step explanation:
describe to a friend how to graph a point at (2,5)
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
Learn more about co-ordinates here:
https://brainly.com/question/27749090
#SPJ5
Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6
Answer:
A: 10.8
Step-by-step explanation:
AD = BC
AB = DC
2AD + 2AB
AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622
AD ≈ 3.1622
AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236
AB ≈ 2.236
2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
Does anyone know the answer?
[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]210 \: \: \: degrees[/tex]
Step-by-step explanation:
Two equilateral triangles and a square are join together.
So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.
Also in a square all the angles are equal . it measures 90 degrees.
x = two triangle = 60 +60
square = 90
[tex]60 + 60 + 90 \\ = 210[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
I WILL GIVE BRAINLIEST AND THANKS
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Half the sum of a number and 5
Eight less than a number is six more than twice the same number.
I need the number.
In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale
Answer:
C (46)
Step-by-step explanation:
Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't). OA and OB are both radius of circle O, making them congruent because all radii are congruent. Also PO is congruent to PO by reflexive.
Angle AOC is the same thing is Angle AOP. Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent). Therefore, Angle POB is 46 degrees.
Use the spinner to find the theoretical probability of the events. Type your answer in the box below in simplified fraction form.
(will mark brainliest :))
Answer:
Step-by-step explanation:
A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6
B: spinning a 1 is 1/6 probability
C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd
D: 0 probability as there are no 9
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm