Find the 1st term of an arithmetic sequence whose common difference is - 9 and whose 101st term is - 902.

Answers

Answer 1

Answer:

a = -2

Step-by-step explanation:

Tn = a+(n-1) * d

-902 = a + (101-1) * -9

-902 = a - 900

a = -902 + 900

a = -2


Related Questions

I need to know the formula for this graph

Answers

Answer:

y=x+5

Step-by-step explanation:

Please help, thank you!

Answers

Answer:

Correct answer is option D

what’s the answer to this problem , figure out the area and perimeter of this triangle

Answers

Perimeter is 69
Area is 67.5

Perimeter is S+S+S
Area is Bh=A

need help!!!!!!!!!!!

Answers

The ordered pair is a solution to the system of equations

Verify

[tex]2x+y=-5\\2(-3)+1=-5\\(-6)+1=-5\\-5=-5\\LS=RS[/tex]

[tex]4x+2y=-10\\4(-3)+2(1)=-10\\-12+2=-10\\-10=-10\\LS=RS[/tex]

98. Explain in your own words, how you can tell from its equation whether a parabola opens up, down, left or right.

Answers

Answer:

The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.

Step-by-step explanation:

Since the x-axis is positive to the right, a positive leading coefficient (3) means it opens to the right. eg. And a negative leading coefficient (-2) means it opens to the left.

Answer please please

Answers

Answer:

b is the answer

Step-by-step explanation:

I took the test

Answer: the answer is b . Which is the second choice ( 24)

Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

You work at Dave's Donut Shop. The company has decided to redesign the box it uses to hold one dozen donuts. There are 12 donuts in one dozen. Each donut has a diameter of 3 inches and a height of 1.5 inches. The donuts in the original box stood on their side. You have been asked to design a new box that will allow the donuts to lie flat as shown. What is the circumference, in inches, of a donut?​

Answers

9.42 in. is the circumstance

The company has decided to redesign the box it uses to hold one dozen donuts, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

What is circumference?

The circumference is the distance around the edge of a circle or any circular object. It is calculated using the formula:

C = 2πr

To find the circumference of a donut, we need to first find the diameter. The diameter of each donut is 3 inches, so the radius is 1.5 inches. The circumference can then be found using the formula:

C = 2πr

where C is the circumference and π is approximately 3.14.

Substituting the radius, we get:

C = 2π(1.5) = 3π

Therefore, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

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A construction company is building a wall. The company can build 30 cm of the wall per minute. After 40 minutes three forth of the wall is completed. How many meters is the wall?

Answers

The total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

W=1/n

A construction company is building a wall. The company can build 30 cm of the wall per minute. In 40 minutes the total cm of wall build by company is,

n=40/30

n=1200 cm

n=12 m

After 40 minutes, three fourth of the wall is completed, which is equal to the 12 meters. Thus, the total meter of the wall is,

(3/4)x=12

x=(12x4)/3

x=16 m

Thus, the total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

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What rule is used to create this sequence

Answers

The answer is subtract 0.75

Solution: 6-0.75=5.25
5.25-0.75=4.5 and so on
Subtract 0.75 eg: 1-0.75=0.25

HELP MEE :)) PLEASEEE <3

Answers

Volume of the cylinder:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {2}^{2} \times 3[/tex]

[tex]v = 37.68 \: {cm}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = lwh[/tex]

[tex]v = 6 \times 5 \times 7[/tex]

[tex]v = 210 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 37.68 + 210[/tex]

[tex]v = 247.68 \: {cm}^{3} [/tex]

cylinder:

pi r^2 h

=3.14*2^2*3

=37.68 cm^3

prism:

whl

=6*5*7

=210 cm^3

all together:

=247.68 cm^3

Suppose a ramp 2 ft high makes an angle of 4.8° with the ground. Find the length of the ramp.​

Answers

Answer:

23.9 ft (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio to find the length of the ramp.

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 4.8°O = height of ramp = 2 ftH = length of ramp

Substituting the given values into the formula and solving for H:

[tex]\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}[/tex]

[tex]\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}[/tex]

[tex]\implies \sf H=23.9\:ft\:(nearest\:tenth)[/tex]

Which statement describes the function y = axn when a = 1 and n is odd?

Answers

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Step-by-step explanation:

We're given:

the function y=axna = 1n is odd

Because a = 1, then the given function can be rewritten as y = n.

The graph opens down

The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

The graph is symmetric about the origin.

This is true, given the graph is a horizontal line.

The graph does not pass through the origin.

This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

The graph has more than one x-intercept.

This would only be true when n = 0, and this isn't possible. So, no.

Answer:

B: The graph is symmetric about the origin

Step-by-step explanation:

you typed the question in wrong its ax^n not axn, which makes the answer above incorrect. this should be the right one on edge.

1. Determine whether 11, 60, and 61 can be the measures of the sides of a triangle. If so,
classily the triangle as acute, right, or obtuse. Justify your answer.

Answers

Answer:

C

Step-by-step explanation:

irst check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side =  and ( )² = 12

2² + ( )² = 4 + 8 = 12

Thus the triangle is right → C

Y = 3x-2 estimate the value of x when y=3

Answers

Answer:

x = 5/3

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify given.

y = 3x - 2

y = 3

Step 2: Solve for x

[Equation] Substitute in y:
3 = 3x - 2[Addition Property of Equality] Add 2 on both sides:
5 = 3x[Division Property of Equality] Divide 3 on both sides:
5/3 = xRewrite:
x = 5/3

∴ the value of x when y = 3 is equal to 5/3, or approximately 1.67.

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Topic: Algebra I

Please help I am a student with ADHD and dyscalculia and all I got left to do for the school year is math Help me with this question if you can
Match the following
1. gallon
2.1 kiloliter
3.1 pint
4.1 liter
5.1 cup
6. 1 quart

A.4 quarts
B.1,000 liters
C. 8 ounces
D.2 cups
E.1,000 milliliters
D.2 pints

Answers

Answer:

1. A. 1 gallon = 4 quarts

2. B. 1 kiloliter = 1,000 liters (hint for remembering is that kilo- means thousand)

3. D. 1 pint = 2 cups

4. E. 1 liter = 1,000 milliliters

5. C. 1 cup = 8 oz

6. D. 1 quart = 2 pints

Step-by-step explanation:

Best of luck with the school year, you can do it!

Answer any of the questions you dont have to do all but it would help a lot <3

Answers

Answer:

DIY

Step-by-step explanation:

Although I would like to help you, you would have to do this yourself.

All you need to do is:

1. Use a ruler and measure the distance from the first location to the second location.  *make sure to use the inch side.

2. Distance times 170. *Your product will be in mi( unit).

Please help me with question 20. Thank you.

Answers

Answer:

B=208.72

Step-by-step explanation:

June 22

July: 22+ 22x (1+10%) = 46.2

Auq: 46.2+ 22 (1+10%) x (1+10%)= 72.82

Sep: 72. 82+ 22 (1+10%)³= 102.102

Oct: 102.102 + 22 x(1+10%)⁴= 134.3122

Nov: 134.3122 + 22×(1+10%)⁵= 169.74342

Dec:169.74342 +22(1×10%)⁶ =208.717762

=208.72

The calulation of Compound interest )

Evaluate tan45degrees/sin30degrees . In your final answer, include all calculations.

Answers

Answer:

2

Step-by-step explanation:

First find out what tan45 means then what sin30 means so tan45=1 and sin30=0.5, 1/0.5=2

The evaluation tan45°/sin30° is 2.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

given that  tan45°/sin30°

Since   tan45° is 1 and sin30°  is 0.5 so

By that 1/0.5 which comes out as 2.

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Which graph represents y as a function of x?

Answers

The answer is Graph G

How many terms are in the following expression
4xy + 3 - 4x+
y
30

Answers

There are 4 terms

Yw :D

29 POINTS PLEASE I NEED THIS ANSWER
A laboratory received 400 g of radioactive radon and 16 days later 25 g of the radioactive remained. What is the halflife of the radon? [Recall: half-life is the length of time it takes a substance to decay to half of its mass]

Answers

Answer:

death they die because of radioactivity

Step-by-step explanation:

Answer:death they die because of radioactivity

Step-by-step explanation:

2x + 3v= 13
4x-V= -2
Solve the simultaneous equations

Answers

Answer:10

Step-by-step explanation:

I need help solving this: ³√1,331 ​

Answers

Answer: 11

Step-by-step explanation:

Answer:

443.666

Step-by-step explanation:

because i used a caulculator boiiiiiiii

first question please dont just answer for points NOT helpful

Answers

True because there are more females with brown eyes

A textbook store sold a combined total of 363 sociology and biology textbooks in a week. The number of sociology textbooks sold was two times the number of biology textbooks sold. How many textbooks of each type were sold?

Answers

Biology textbooks: 121

Sociology textbooks: 242

PLESSE HELP IM BEGGING

Answers

angle for F is 24. EF is probably 17.97 and DF is 19.67?

Answer:

the measure of F is 24

Step-by-step explanation:

1. 180-90=90-66=24

A unit circle has a central angle with a measure of
7π/6
radians. To the nearest hundredth, what is the length of the arc on the circle determined by the angle?

Answers

Answer:

Step-by-step explanation:

The length of the arc on the unit circle is 3.67 units

How to determine the length of the arc?

The angle measure is given as:

x = 7π/6

The radius of a unit circle is:

r = 1

The length of the arc is calculated using:

L =rx

So, we have:

L = 1 * 7π/6

Evaluate

L = 3.67

Hence, the length of the arc on the unit circle is 3.67 units

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Find the value of x in the parallelogram below. Enter each line of work as an equation.

Answers

Answer:

Here is the solution...hope it helps :)

increase 260 kg by 10% and then decease the result by 10%
Could i get a formula please
Thanks!

Answers

Answer:

follow me:)

First we have to increase it by 10%

110 multiplied by 260 divided by 100 becomes 286

Then a 10% reduction that becomes 90% 286 that becomes

286 multiplied by 90 divided by 100

257.4

Find the total surface area of this cone, leaving your answer in terms of π

Answers

The total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

What is a cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The total surface area of a cone is given by its curved surface area plus area of its base.

Total surface area = curved surface area + area of base

Total surface area = πrl + πr²

Given that;

Radius r = 5cmSlant height l = 9cmTotal surface area TSA = ?

Total surface area = πrl + πr²

Total surface area = ( π ×  5cm × 9cm ) + ( π × (5cm)² )

Total surface area = 45πcm² + 25πcm²

Total surface area = 70πcm²

Therefore, the total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

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Answer:

70

Step-by-step explanation:

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