Find the 75th term of the arithmetic sequence
16, 15, 14,

Answers

Answer 1

Answer:

[tex]a_{75}=-58[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

For the given sequence, the common difference is -1:

[tex]15-16=-1\\14-15=-1[/tex]

Knowing both the common difference and the first term, you can write the equation for this sequence:

[tex]a_n=16+(n-1)(-1)[/tex]

Then you can use that equation to find the 75th term:

[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]


Related Questions

Marissa bought 3 chocolate bars each week. How many chocolate bars will Marissa buy after 3 weeks?

Answers

all you have to do is multiply 3 by 3, and your answer would be 9.
Hello! If Marissa buys 3 chocolate bars each week, than over three weeks she would have 9 chocolate bars.

3 is the chocolate bars each week.
Three weeks.
3x3=9
9 chocolate bars after three weeks.

Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an odd
number? Express your answer as a fraction in simplest form.

Answers

1-15 has only 1,3,5,7,9,11,13,15 as odd number therefore a total of 8 odd numbers within 1-15 so that would be 8/15 probability of it being an odd number (I’m not too sure of this sorry)

The probability that the card has a multiple of 3 and an odd number is 20%.

How to find the card has a multiple of 3 on it, given that the card picked is an odd number?

Given:

The number of cards: 15

Multiples of 3 and odd no are 3,9, and 15.

The number of cards Multiples of 3 and odd number = 3

Probability of getting a multiple of 3 cards = 3/15× 100

20%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Learn more about Probability here: brainly.com/question/251701

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A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?

Answers

Answer:

y = 10

Step-by-step explanation:

y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.

The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the point be represented as P ( 10 , 2 )

And ,let the slope of the line be m = 0

Slope m = 0

Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = 0 ( x - 10 )

On simplifying the equation , we get

y - 2 = 0

Adding 2 on both sides of the equation , we get

y = 2

Therefore , the value of A is y = 2

Hence , the equation of line is y = 2

To learn more about equation of line click :

https://brainly.com/question/14200719

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Which ordered pairs are solutions to the inequality 2y-x≤-6 ?
a. (0,-3) b. (5,10) c. (2, -2) d. (-5, 2)

Answers

Answer:

C

Step-by-step explanation:

-0.7=-7/9z help me pleasseeee!​

Answers

The answer is 0.9 if z is in the numerator and if it is in the denominator it is 1/9

Help please, I don't know how to get the measurements for the angles.

Answers

the only one i could figure out was that q= 24 and i think r=48

is y = 2/3x - 7 proportional or not?

Answers

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.

Can someone help me please

Answers

Answer:i dont know 1

2. variable

3. terms

Step-by-step explanation:

A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)

Answers

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

Plsssss help me this needs to be done ASAPPP

Answers

Answer:

6 and 3

Step-by-step explanation:

Mutiply and will get your aswer correct

please help meeeeeeeeeeee....

ty

Answers

Answer:

y = 1/26x - 2

Step-by-step explanation:

Subtract x both sides

-26y = 52 + (-x)

Divide by -26 both sides

y = -2 + 1/26x

y = 1/26x - 2

HELLO EVERYONE


WHAT IS THIS ANSWER??? ANYONE KNOW? i need help on this question. it is kinda confusing but if anyone knows pls txt back to this post. thank you so much and have a good day.​

Answers

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Jenny is saving money to buy a bike that costs $164. She has $52 and will save an additional $8 each week. In how many weeks will she have enough money to buy the bike?

Answers

Answer:

14

Step-by-step explanation:

164 = 8x + 52

Subtract 52 from both sides

112 = 8x

Divide both sides by 8

14 = x

7/24*5/14*16/25
PLS HELP!!!!!!!

Answers

7/24*5/14*16*25= 1/15

If the radius of a circle is ‘r’ units, which of the following is its circumference? *​

Answers

Answer:

2πr

Explanation:

The area of the unit circle is π (in general πr2 where r is the radius).

Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?

Answers

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is 10 scoops.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]

Which gives;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex]

[tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]

[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]

Therefore;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]

The number of scoops she needs for the entire recipe is 10 scoops

Learn more about division by fractions here:

https://brainly.com/question/20591763

Select all the polygons that have reflection symmetry.

A quadrilateral with two pairs of adjacent congruent sides, forming a kite.

A polygon is shaped like a composite figure made up of a rectangle with a small square on its top side and the same sized square on its right side.

A polygon shaped like a five-pointed star in which the left and right sides of the star are mirror images

A six-sided polygon that generally appears as a diagonally-oriented trapezoid attached to a shorter horizontally-oriented rectangle.
Assessment navigation
(added this for all^ my homies with k12 so its easier to find just ignore it)

Answers

Reflection Symmetry-

Line symmetry is also called as the reflection symmetry. If, at least one line that divides a figure into two halves such that one-half is the mirror image of the other half, exists, then the figure is said to be in reflection symmetry.

Analyzing all the 4 figures, it can be deduced that only 1st and 2nd figures have one symmetry line XX, as shown in the attachments.

3rd and 4th figures do not have any axisymmetric lines, so they are not in reflection symmetry.

Help, please!

fdlksjflksdjklfjalk

Answers

Answer:

m/_a = 8 , m/_b= 3, m/_c = 4

The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:

A. True

B. False

Answers

Answer:

A True

Step-by-step explanation:

How do I find x please I need help asap

Answers

Answer:

x=5

Step-by-step explanation:

Let's say the left side has points A, B, and C, with B in the middle, and the right side has points A, E, and D, with E in the middle

The Triangle Proportionality Theorem Converse states that if a line splits two sides of a triangle proportionally, the line is parallel to the remaining line.

Here, we can see that the sides are split into congruent lengths to each other, making their proportions 1:1. This proves the theorem converse, so 5x is parallel to 8x+10. Because the other two sides are connected to each other, with AB being a part of AC and AE being a part of AD, AB is parallel to AC and AE is parallel to AD. Given this, we can say that triangle ABE is similar to triangle ACD.

In a similar triangle, the lines corresponding to each other have the same ratio as other lines. This means that

AB/AC = AE/ED = BE/CD.

We are trying to find BE and CD to solve for x, and we can do this by finding the ratio between them

AC = AB + BC

BC = AB

AC = 2 * AB

AB / (2*AB) = BE / CD

1/2 = 5x/(8x+10)

multiply both sides by 2 to remove a denominator

1 = 10x / (8x+10)

multiply both sides by 8x+10 to remove the other denominator

8x+10 = 10x

subtract 8x from both sides to put the variable and its coefficients on one side

2x = 10

divide both sides by 2 to solve for x

x = 5

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



Answers

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?

Answers

yes because they are congruent just dilated in size

Which table matches the equation y= 8x + 20

Answers

Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The answer is 20 I had this question

help me please brainlist if right​

Answers

Step-by-step explanation:

1B.) Zero power rule

C.) 1

2B.) Product of powers rule

C.) y^(7+11) = y^18

3B.) Quotient of powers rule

C.) b^(18-5) =b^13

4B.) Power of a power rule

C.) 3^(2×2) =3^4= 81

5B.) None

C.) 729

4 5/6 x 3/10
simplify the answer completely and change it to a mix number

Answers

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

Can someone help me with this
giving out brainliest

Answers

Answer:

C

Step-by-step explanation:

Step 1: plot your 2 known points, (-2,3) and (1,0)

Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.

Step 3: check to see if C is a correct answer, (4,-3)

C is the answer, hope that helps

How to to it with step by step explanation

Answers

[tex]15^{5} \div 15 ^{7} [/tex]

Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex]

[tex]15 ^{ 5 - 7} [/tex]

[tex]15 ^{ - 2} [/tex]

[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]

Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT

Answers

Answer: 1:15pm

Step-by-step explanation:

Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12. 8 meters, the lengths of J N and N L are 3. 7 meters, and the lengths of K M and M L are 5. 9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4. 4m MN = ML.

Answers

The true statements are: M is the midpoint of line segment KJ and N is the midpoint of line segment JL

The given parameters are:

[tex]KJ = 12.8m[/tex]

[tex]JL = 7.4m[/tex]

[tex]KL = 11.8m[/tex]

From the figure (see attachment), we have the following highlights

Either sides of point M on line segment KL is 5.9 metersEither sides of point N on line segment JL is 3.7 meters

The midpoint of a line segment divides the line segment into equal halves.

Read more about midpoints at:

https://brainly.com/question/4363233

Answer:

Correct answer is A & B on edge

Step-by-step explanation:

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).

Answers

Answer:

[tex]\frac{5}{X^{2} } y^{2}[/tex]

Step-by-step explanation:

sorry the Y isn't under the 5 anyway hope this helped

Answer:

A is the answer.

Step-by-step explanation:

(X^7/2)(y^-3/5)

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