======================================================
Work Shown:
a = 4 is the first term
d = 3.5 is the common difference (we add this to each term to get the next term)
f(n) = nth term of arithmetic sequence
f(n) = a + d*(n-1)
f(n) = 4 + 3.5(n-1)
f(n) = 4 + 3.5n - 3.5
f(n) = 3.5n + 0.5
------------------------
As a check, we could plug in n = 1 to get
f(n) = 3.5n+0.5
f(1) = 3.5(1)+0.5
f(1) = 4
Showing that 4 is the first term. Now let's try n = 2
f(n) = 3.5n+0.5
f(2) = 3.5(2)+0.5
f(2) = 7.5
Which matches with the sequence also.
I'll let you confirm the other terms.
What is the value of p in this proportion?
5/6 2/3
----- = ------
P 1/2
Enter your answer as a simplified
fraction.
p=
If the formatting should be [tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex], then this should be correct.
Answer:
p = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Given]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Keep, change, and flip on the left side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}[/tex] [Keep, change, and flip on the right side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}[/tex] [Simplify the right side]
[tex]\frac{5}{6p}=\frac{4}{3}}[/tex] [Simplify the left side]
6p * 4 = 5 * 3 [Cross multiply]
24p = 15 [Simplify]
p = [tex]\frac{15}{24}[/tex] [Divide both sides by 24]
p = [tex]\frac{15/3}{24/3}[/tex] [Simplify the fraction]
p = [tex]\frac{5}{8}[/tex] [Answer]
Edna is an elephant at the zoo her eating habits have been studied in detail it has been determined that she spends about 14 hours per day eating. How many hours would she have spent eating in the month of july
Answer: 434 hours
Step-by-step explanation:
31(days) x 24(hours in a day) = 744
31(days) x 14(hours spent eating) = 434
Answer:
I came up with 434 hours for the month of July
Step-by-step explanation:
Well, you find the days of July which is 31, then multiply that by 14, the hours she spends eating a day.
I'm so sorry if it's wrong. Good luck!
Please mark brainliest!
Which of the following is equivalent to 5x + 7 = 6y?
А
5z+6 = 7
B
5z+6y = -7
C
5X- 6y =7
D
5x - y = -7
Answer:
c
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
a square room has a floor area of "100" square feet. the height of the room is 6 feet what is the area of one wall
Answer:
Its 60
Step-by-step explanation: 10x10=100 so 10x6=60
Did that help you???
The area of one wall of the square room is 60 sq. feet.
What is the area of a square?The area of a square is the square of its side.
If the length of a side of a square is a unit, then its area is
Area = a² sq. units.
How to solve the question?In the question, we are informed that a square room has a floor area of 100 sq. feet, and its height is 6 feet.
We are asked to find the area of one wall.
The floor of the room is given a square. We let the length of the side of that square be 'a' units.
Then, its area is a² sq. units.
We are given that the area of the floor is 100 sq. feet.
So, we can write the equation as:
a² = 100 sq. feet,
or, a = 10 feet.
The height of the room is given as 6 feet.
Therefore, the area of a wall is 10*6 sq. feet = 60 sq. feet.
As the floor is rectangular in shape, with dimensions 10 and 6.
Therefore, the area of one wall of the square room is 60 sq. feet.
Learn more about the area of a square at
https://brainly.com/question/26418430
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22 - 3 × 6 + 5^2
A.
38
B.
139
C.
29
D.
65
Answer:
C. 29
Step-by-step explanation:
22 - 3 × 6 + 2522 - 18 + 254 + 2529Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from the moment the driver see danger until they step on the brake pedal, can be described by the Normal model with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.
Note that this scenario is talking about a population distribution. There is no discussion of a sample or sample size. Therefore, you do not need to adjust the standard deviation that is given before using the normalcdf and invNorm commands.
a) What percent of drivers have a reaction time greater than 1.8 seconds?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
b) Describe the reaction time of the slowest 10% of all drivers? (Hint: The slower a person reacts, the higher their reaction time so this is looking at the right tail of the distribution)
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
Using the normal distribution, it is found that:
a) 4.75% of drivers have a reaction time greater than 1.8 seconds.
b) The reaction time is of at least 1.73 seconds.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
[tex]\mu = 1.5, \sigma = 0.18[/tex]
Item a:
The proportion is one subtracted by the p-value of Z when X = 1.8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.8 - 1.5}{0.18}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475 = 4.75%.
4.75% of drivers have a reaction time greater than 1.8 seconds.
Item b:
The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1.5}{0.18}[/tex]
[tex]X - 1.5 = 1.28(0.18)[/tex]
[tex]X = 1.73[/tex]
The reaction time is of at least 1.73 seconds.
More can be learned about the normal distribution at https://brainly.com/question/24663213
A pie chart shows the number of rabbits 900, sheep 700, cattle 300 and pigs 500 What angle represent the number of sheep on the farm
Step-by-step explanation:
total number of animals on the farm is
900+700+500+300=2,400
angle for sheep will be
(700/2,400)*360=105°
The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. City C and City D are 3.15 feet apart on this map. What is the actual distance between City C and City
Answer:
300 miles
Step-by-step explanation:
200/2.1= 95.238...
95.238...*3.15=300
Hope this helps :)
The actual distance between City C and City D will be 300 miles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. Then the scale factor is given as,
Scale factor = 200 / 2.1 miles per foot
City C and City D are 3.15 feet apart on this map. Then the actual distance is given as,
Distance = 3.15 x 200 / 2.1
Distance = 1.5 x 200
Distance = 300 miles
The actual distance between City C and City D will be 300 miles.
More about the dilation link is given below.
https://brainly.com/question/2856466
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Solve 2y−18x=−26 for y.
I'm having trouble finding the x-intercepts AND the y-intercept, could some help and explain there work?? :)))) thank you!!
f(x)= x^3 - 4x^2 - 11x + 30
Hello,
[tex]f(x)=x^3-4x^2-11x+30 \\\\f(0)=30[/tex]
so y-intercept is (0,30)
The product of the roots are -30 = 2 * 5 * -3, and the sum is 4 = 2 + 5 - 3 , so we can factorise
[tex]f(x)=x^3-4x^2-11x+30 \\\\f(x)=0 \\\\<=> x^3-4x^2-11x+30=(x+3)(x-2)(x-5)=0\\\\<=> x=-3 \ or \ x=2 \ or \ x=5[/tex]
x-intercepts are (-3,0) (2,0) and (5,0)
thanks
pls help this is super hard. i really appreciate it
Answer:
e,4,14
Step-by-step explanation:
The answer is e, 4 and 14.
4. Some students who are in chorus also
take singing lessons. If Adam is in Chorus
and takes singing lessons, shade the
area where Adam would belong.
Chorus
Singing
Lessons
Answer:
shade the area where circles overlap
Answer:
Shade the middle section.
Step-by-step explanation:
Venn-diagrams show what is the same or different. Adam does both chorus and singing lessons. The part of the diagram where the circles cross in the middle is what you would shade in because that section represents both chorus and singing lessons.
yo whats 3/4 x 8/15 im simplest form
Answer:
2/5
Step-by-step explanation:
3*8=24, and 4*15=60,fraction now becomes 24/60 simplied by 12 (24/60 divide by 12 both factors) equals 2/5
A triangle is reflected over the y-axis. Which drawing shows a correct reflection?
A
B
С
D
А A
B
oc
D
Answer:
C
Step-by-step explanation:
Answer:
The answer your looking for is (most likely) C.
Step-by-step explanation:
If you had a mirror on the y-axis, the reflection of the pre-image triangle would be the image. The y-axis, called the line of reflection, is the line of symmetry for the two triangles. Triangle 1 is called the pre-image, and the reflected triangle is called the image.
SOMEONE PLEASE HELP ME IM GONNA FAIL
The wind force F on a sail varies jointly as the area A of the sail and the square of the wind speed w.
The force on a sail with area an area of 500 P? is 64.8 pounds when the wind speed is 18 mph. What
would be the force for a sail with an area of 250 f2 with a wind speed of 35 mph.
Answer:
405 pounds
Step-by-step explanation:
can somebody please teach me how to do compound inequalities?
i don't need a certain equation to be done, i just need to know how to do it. :)
pls help!...
Answer:?
Step-by-step explanation:
Answer:
Desmos Practice Worksheetdyh.astromirasole.it › desmos-practice-worksheet
Multiplying and Dividing Polynomials Worksheet Answer Key Poly Want a ... Desmos is a graphing calculator that can be accessed through any web ... Activity: Compound Inequalities on the Number Line
HELP ME ILL GIVE YOU BRAINLY IF U GET IT RIGHT AND EXPLAIN HOW PLEASE
Answer:
59
Step-by-step explanation:
A is a 90 degree angle, we can see the other side is 31
so we subtract 90-31=59
solve this for me please and thank you
For the crazy pizza portfolio I just need the formulas to prove that my pizza can fit inside the box I already have A=pi r2 now I just need the rest
To prove that the pizza fits inside the box we need the formula for the area of a square, to identify the area of the box and to know if the pizza fits inside the box.
How to calculate the area of the box (area of a square)?To calculate the area of a square we must apply the following formula:
Length of square × base of square = area of square ²According to the above, if we have a pizza with a radius of 30cm, its area would be:
A = 3.14 × 15²A = 706.5 cm²So we would need a box with a side length of at least 30cm. Its area would be:
30cm × 30cm = 900cm²
So for a 706.5cm² pizza, we need a 900cm² box.
Learn more about area in: https://brainly.com/question/16151549
Find the difference: 3 4/6 - 1/6
Answer:
7/2 but as a mixed number 3 1/2
Step-by-step explanation:
Answer:
3 1/2 or 3 3/6
Step-by-step explanation:
How many 7 digits numbers are there?
Answer:
9000000 seven
There are 9000000 seven-digit numbers.
Step-by-step explanation:
please mark me brainliest
Answer:
9000000 seven
Step-by-step explanation:
There are 9000000 seven-digit numbers.
Answer provided by Education Point
Find the next two terms in this sequence. -900, 300,-100,_,_? Please I need help
Answer: 500
Step-by-step explanation: it increases and decrease in a pattern so -900+600= 300-600= -100+600=500
Which term has the definition "A two dimensional surface on which we can graph points"? A Origin B Quadrant. C Abscissa D Coordinate Plane
Answer:
Coordinate Plane (D)
Step-by-step explanation:
A Coordinate Plane is a two dimensional surface where you can graph points. Please let me know if I'm wrong, have a good day
Can anyone help me here this is a mastery test by the way. Too tired to type it out so I put a photo.
^
|
Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
Hope this helps. I'll give you my energy.
if f(x)=1/x and g(x) = X+4, which of the following is the graph of (gºf)(x)?
Answer:
See attached graph
Step-by-step explanation:
[tex]f(x)=\frac{1}{x}\\ \\g(x)=x+4\\\\(g\circ f)(x)=g(f(x))=g(\frac{1}{x})=\frac{1}{x}+4[/tex]
I cannot see all of the options, so I attached a graph of the correct graph for you to match up your options with.
How to find the perimeter and area of 7.7m, 2.8m, 9.7m, 4
Answer: perimeter = 26.8
area = 49.16
Step-by-step explanation:
perimeter:
Rectangle one:
add 9.7 + 9.7 + 4 + 4 because there is 4 sides = 27.4
Rectangle 2:
2.8 + 2.8 + 3.7 +3.7 = 13
Add them together: 27.4 + 13 = 40.4
area :
rectangle one:
multiply 4 x 9.7 = 38.8
rectangle two:
multiply 3.7 x 2.8 = 10.36
add them together: 10.36 + 38.8 = 49.16
here is a list 31 29 33 37 43 38 33 40 find the mode in number of list and work out on mean
Answer: Mode = 33, Mean = 35.5
Step-by-step explanation: The mode is whatever number appears the most.
To find the mode, first put the numbers in order from least to greatest.
29, 31, 33, 33, 37, 38, 40, 43
In this case, 33 appears the most, so the mode is 33.
The mean is the average of all of the numbers.
Firstly, add up all of the numbers:
29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284
Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.
284/8 = 35.5
Your mean is 35.5
Answer:
Mode = 33
Mean = 35.5
The mode is whatever number appears the most.
to find the mean:
add all the numbers:
29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284
divide that by the number of numbers you have in the list.
284/8 = 35.5
mean = 35.5
(a+4)-[12-(a+2)-(a+2)
Answer:
a=4/3
Step-by-step explanation:
Opening the brackets,
a+4-12+a+2+a+2
3a=4
∴a=4/3
Find the complement of ∠DEF.
Answer: Choice B) 14 degrees
Explanation:
Complementary angles add to 90 degrees
This means the answer we're after is 90 - (angle DEF) = 90-76 = 14
Answer is B
Complement means two angles that have the sum of 90°
90 - 76 = 14
so that would mean 14° is the correct answer