The nth term of a sequence is 25 - 3n
Work out the first three terms of the sequence
Work out the first negative term of the sequence

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula

(a)= 25 - (3 × 1) = 25 - 3 = 22 = 25 - (3 × 2) = 25 - 6 = 19= 25 - (3 × 3) = 25 - 9 = 16

The first three terms are 22, 19, 16

Note the difference between consecutive terms is - 3

19 - 22 = 16 - 19 = - 3

Continuing this pattern

(b)16 - 3 = 13 13 - 3 = 10 10 - 3 = 7  7 - 3 = 4  4 - 3 = 1  1 - 3 = - 2

The first negative term is - 2


Related Questions

Isaac is multiplying 4 x 3/4. His work
is shown below. Fill in the missing
numbers to complete the problem.
4* 3/4= ?* [? *1/4).
= ( ?* ?) * 1/4
= ?* 1/4 = ? /4= ?

Answers

Answer:

  match your blanks to the solution below

Step-by-step explanation:

The multiplication of an integer and a fraction has you multiply the integer by the numerator, then express the result over the denominator. At that point, you can reduce the fraction, if possible.

  [tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=(4\times3)\times\dfrac{1}{4}\\\\=12\times\dfrac{1}{4}=\dfrac{12}{4}=3[/tex]

__

Additional comment

Because multiplication is commutative and associative, this can be done in a way that is a little simpler.

  [tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=3\times\left(4\times\dfrac{1}{4}\right)\\\\=3\times\dfrac{4}{4}=3\times1=3[/tex]

PLLSSS hEELPPPP
What is the inverse of the following statement?
If two triangles are congruent, then their corresponding angles are congruent.
A. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
B. If two triangles are not congruent, then their corresponding angles are not congruent.
C. If two triangles are congruent, then their corresponding angles are congruent.
D. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Answers

Answer:

A

Step-by-step explanation:

A, because you just have to flip the cause and effect.

If two triangles are congruent, then their corresponding angles are congruent.

So, if the corresponding angles are congruent, then the triangles are congruent

You can use this property for problems similar to this one, that have cause and effect relationships.

2. A business is purchasing t-shirts with their logo on them. Timmy's T-Shirt
Shop charges a $35 set-up fee and $10 per shirt. Shirts-O-Rama charges a $55
set-up fee and $5 per shirt. USE A TABLE to determine how many shirts would
need to be purchased for the total cost to be equal at both stores and what that
total cost would be.

Answers

Answer: In order for you to have an equal cost of $75 both companies will need to produce 4 T-shirts.

The vertices of a rectangle are w. 2). 14, 2). Y14.-3), and 21.-3). Find the perimeter of the
rectangle

Answers

Check the picture below.

can someone please help? don’t have a lot of time left

Answers

Answer:

158 m²

Step-by-step explanation:

Get the area of all the faces, then add them

2(8 x 3) = 48

2(3 x 5) = 30

2(8 x 5) = 80

48 + 30 + 80 = 158

Rewrite 3^-7 using a

Answers

Answer:

Is the question 'Rewrite 3^-7 using a fraction'

If yes, Then

It can be written as 1/3^7

THIS IS DONE BY USING  A LAW i.e., a^-1=1/a^1

1-25 Cash paid to Hari Rs.12500 in full settlement of his
uired: a. Journal Entries b. Hari Account​

Answers

Answer:

i dont know please ask to raju landge urfa tapori anna

50 points hlep Explain how to graph a polynomial function in factored form. What do the factors mean in terms of the polynomial? Graph f(x)=(x−2)^2 (x+1) (x−4)

Answers

Answer:

Given function: [tex]f(x)=(x-2)^2 (x+1) (x-4)[/tex]

The factors give us the zeros (x-intercepts) of the graph.

To find the zeros, set the function to zero and solve for x:

[tex](x-2)^2 (x+1) (x-4)=0[/tex]

Therefore,

[tex](x-2)^2=0\implies x-2=0 \implies x=2[/tex]

[tex](x+1)=0\implies x=-1[/tex]

[tex](x-4)=0 \implies x=4[/tex]

So the zeros are at (2, 0)  (-1, 0) and (4, 0)

The multiplicity of a zero is the number of times the factor appears in the fully factored form of the polynomial, i.e. the exponent on the corresponding factor.

[tex]x = 2[/tex] has a multiplicity of 2[tex]x=-1[/tex] has a multiplicity of 1[tex]x=4[/tex] has a multiplicity of 1

If the zero has an even multiplicity, the graph touches and bounces off the x-axis at that point.

If the zero has an odd multiplicity, the graph crosses the x-axis at that point.

To find the y-intercept, expand the function:

[tex]f(x)=x^4-7x^3+12x^2+4x-16[/tex]

Set [tex]x = 0[/tex] and solve:

[tex]f(0)=(0)^4-7(0)^3+12(0)^2+4(0)-16=-16[/tex]

Therefore, the y-intercept is at (0, -16)

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

As the leading degree is 4 (even) and the leading coefficient is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty \textsf{ as } x \rightarrow - \infty[/tex]

[tex]f(x) \rightarrow + \infty \textsf{ as } x \rightarrow + \infty[/tex]

find the volume of this prism iready

Answers

Answer:

where is the question????????

Answer:

where question

Step-by-step explanation:

Two boxes are shaped as right rectangular prisms. The larger box is having a length of 24 cm, a width of 10 cm, and a height of 30 cm. The dimensions of the smaller box are half the dimensions of the larger box. What is the volume of the smaller box? Enter your answer in the box. cm³

Answers

Answer:

The volume of the smaller box is 900cm³

Step-by-step explanation:

Given:

larger box dimensions: 24cm by 10cm by 30cm

dimension of smaller box: 1/2 of larger box:

12cm by 5cm by 15cm

Volume of smaller box: Length×Width×Height

=12cm×5cm×15cm

=900cm³

If you bought 1000 shares of a Vanguard Mutual Fund for $145 a share two years
ago and it is now worth $265. How much would you make if you sold the mutual
fund now?
$120,000
$145,000
$265.000
$1,200

Answers

Answer:

$120000

Step-by-step explanation:

1000 X 145 = 145000

1000 X 265 = 265000

$265000 - $145000 = 120000

The share price increased by $265-$145=$120
For 1000 shares, you make $120*1000=$120,000

Hope that helps :3

Here is a number pattern: 23, 26, 30, 35, 41.

What is the next number in the pattern?(please answer)

Answers

Answer:

48

Step-by-step explanation:

The number sequence increases by 1.

23+3=26

26+4=30

30+5=35

35+6=41

therefore 41+7=48

Answer:

The next number in the pattern is 48

Step-by-step explanation:

23+3 is 26. 26+3+1 is 30. 30+4+1 is 35. 35+5+1

Hope that helps!

There are approximately Pi times 10,000,000 seconds in one ____?


30 points pls show work thank you so much!!!

Answers

Answer:

The first 1000000 pi contain: 99959 0s, 99758 1s, 100026 2s, 100229 3s, 100230 4s, 100359 5s, 99548 6s, 99800 7s, 99985 8s and 100106 9s.

The number of seconds in a year are 31,557,600 seconds, which gives;

There are approximately Pi times 10,000,000 seconds in one year.

How can the given statement be completed?

The number of seconds in one day = 86,400

The number of seconds in one week = 604,800

The number of seconds in a year = 31,557,600

Therefore;

[tex]\mathbf{\dfrac{The \ number \ of \ seconds \ in \ a \ year}{10,000,000}} = 3.1557600 \ which \ is \ close \ to \3.14159 \approx \pi[/tex]

Which gives;

The number of seconds in a year ≈ π × 10,000,000

The completed statement is therefore;

There are approximately Pi times 10,000,000 seconds in one year

Learn more about conversion of units here:

https://brainly.com/question/599249

Find the value of xx, yyy, and zz in the parallelogram below.

Answers

Answer:

Step-by-step explanation:

Which BEST describes the relationship between
the two triangles?
A. The triangles are a reflection of each other and are
congruent by side-side-angle.
B. The triangles are a reflection of each other and are
congruent by side-angle-side.
C. The triangles are a translation of each other and are
congruent by side-side-angle.
D. The triangles are a translation of each other and are
congruent by side-angle-side.

Answers

Is there a picture or something?

Please help ASAP! It would be greatly appreciated. Thank you.

Answers

Answer:

2one

Step-by-step explanation:

QUESTION 4 of 10: Last year your store had total sales of $367,000. Because of a boost in the economy, you expect sales to increase 3%
per year for the next 2 years. What are your projected sales in 2 years?
ОООО
a) $245,050
b) $345,310
c) $378,010
d) $389,350
Submit
..

Answers

Answer:

its D

Step-by-step explanation:

i got it wrong, thank me latter

The projected sales after 2 years will be $389,350 which is the correct answer would be option (D).

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Last year's store had total sales of $367,000.

The sales are to increase by 3% per year for the next 2 years.

To determine the projected sales in 2 years

The projected sales in next year = 3% of $367,000 + $367,000

The projected sales in next year = (3/100) × 367,000 + 367,000

The projected sales in next year = 11,010 + 367,000

The projected sales in next year = $378,010

The projected sales after 2 year = 3% of $378,010 + $378,010

The projected sales after 2 year = (3/100) × 378,010 + 378,010

The projected sales after 2 years = 11,340 + 378,010

The projected sales after 2 years = $389,350

Thus, the projected sales after 2 years will be $389,350.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ2

The expression 3 x 7 - 4x8+2 is equivalent to which of the following?
A 3* (7 - 4) * (8 + 2)
B (3 x 7) - (4 x 8) + 2
h
C (3 x 7) - 48 + 2)
D 3* (7 - 4) * 8 + 2

Answers

answer: b

explanation: only choice B equals -9 like the given equation.

Spencer can do a piece of work in 20 days and Toby in 25 days. They began to work together.
But Spencer leaves after some days. Toby finish the remaining work in 11 days. After how many
days did Spencer leave?

Answers

I believe the answer is that Spencer left after 9 days.

Select all of the situations below that can be modeled by the expression 4 + 3x.



Four more than three and a number.



Four more than three times a number.



The sum of three times a number and four.



The sum of the product of four, three, and a number.



The sum of four and the product of three and a number.

Answers

Answer:

1 2 3

Step-by-step explanation:

what is 14.38+31.73?

Answers

14.38 + 31.73 = 46.11.

Answer:

46.11

Step-by-step explanation:

Add then drop the decimal

A rectangular garden is 9 feet long and 3 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?

Answers

Answer:77.7778%

9+9+3+3=27

18+18+6+6=48

Step-by-step explanation:

Identify like terms in the expression. 12n-6+p+6n

Answers

Answer:

18n+p-6

Step-by-step explanation:

you combine 12 and  6, then put the exponents in order

Hey there!

Like terms are "from the same family"

Let me clarify.

For example. we have an expression "2t+12h-6h"

In this case, 12h and -6h are like terms and 2t and 12h are not like terms.

Here's another example:

r+a-y+4+9-1

The like terms are:

4, 9, and -1

Now that we know what like terms are, let's identify the like terms in the given expression.

The expression is:

[tex]\bold{12n-6+p+6n}[/tex]

What are the like terms?

That's right, 12n and 6n:

[tex]\bold{12n+6n-6+p}[/tex]

[tex]\bold{18n-6+p}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{18n-6+p}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{250}{2}[/tex]

IM GIVING 25 PTS AND BRAINLIESTTTT

Answers

Answer:

answer is A. the graph does not cross over the X axis

and to check whether I'm correct.

calculate -(1/3)^0 which equals -1

and also check using 4 as the X value : -(1/3)^4 = - 1/81

ALL THESE ANSWERS ARE NEGATIVE ANSWERS

Hi! I need help multiplying, adding, and subtracting fractions, could someone help meh? ~bewuga

Answers

Answer:

yes i can

Step-by-step explanation:

adding fractions you only add the numerator numbers, the denominator numbers stay the same, subtracting fractions you just subtract the numerator as the denominator stays the same, while multiplying you multiply both numerator and denominator

Answer:

addition and subtraction is possible when denominator are same so to make denometor same multiplication is use on both numerator and denominator

Step-by-step explanation:

for example,

5/10+2/5

now we can't add those numbers so

multiply on both on numerator denominator by same number to make denominator same.

look

5*1/10*1 + 2*2/5*2

5/10+4/10.

(addition is possible bcz denominator are same)

(5+4)/10

9/10 is answer

Sam is developing a metric to try to measure how generous an individual is. In order to evaluate whether it is actually measuring generosity, Sam is checking to see if there is any correlation between a person's score on the metric and the amount of money they donate to charities or give to others in need. In other words, Sam is evaluating the _____ of the metric.

Answers

By checking to see if there is correlation, Sam is evaluating the criterion validity of the metric.

How to determine the measured parameter of the metric

From the question, we understand that Sam tests the metric to check for the presence or absence of correlation in the metric.

This, in other words means that Sam is checking the criterion validity of the metric.

Hence, the true statement is that Sam is evaluating the criterion validity of the metric.

Read more about correlation at:

https://brainly.com/question/14289293

25x -5 + 32 = (when x = 3)

Answers

Answer:

102

Step-by-step explanation:

25 x 3 - 5 + 32

75 - 5 + 32

70 + 32

=102

Answer:

102

Step-by-step explanation:

25(3)-5+32

75-5+32

70+32

102

What is the probability of flipping a coin 11 times and getting heads 5 times?
Round your answer to the nearest tenth of a percent.
A. 16.1%
B. 8.1%
C. 0.5%
D. 22.6%

Answers

Answer: The answer is A. 16.1%

Step-by-step explanation:

Answer:22.6

Step-by-step explanation:

Use the information below to determine if AB and CD are parallel, perpendicular or neither.
(0, – 4), (-1, — 7), (3, 0), (-3, 2)

Answers

Answer:

perpendicular

Step-by-step explanation:

Calculate the slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let m₁ and m₂ are the slopes of AB and CD.

Then

if m₁ = m₂ → lines are parallel

if m₁ · m₂ = -1 → lines are perpendicular

[tex]A(0;\ -4);\ B(-1;\ -7)\\\\m_{AB}=\dfrac{-7-(-4)}{-1-0}=\dfrac{-7+4}{-1}=\dfrac{-3}{-1}=3\\\\C(3;\ 0);\ D(-3;\ 2)\\\\m_{CD}=\dfrac{2-0}{-3-3}=\dfrac{2}{-6}=-\dfrac{2:2}{6:2}=-\dfrac{1}{3}[/tex]

[tex]m_{AB}\neq m_{CD}[/tex] - no parallel

[tex]m_{AB}\cdot m_{CD}=3\cdot\left(-\dfrac{1}{3}\right)=-\dfrac{3}{3}=-1[/tex] - perpendicular

PLEASE HELP WITH THIS

Answers

Answer:

[tex]xlog__{2}6[/tex]

Step-by-step explanation:

In logarithmic functions, if we have an exponent say the [tex]x[/tex] in [tex]6^x[/tex], we can "pull it down" from the power and multiply it next to the log.

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