Ben says that 150 is a term in the sequence 3,9,15,21,27,... Ben right? Explain your answer

Answers

Answer 1

Answer:

No, Ben is not right.

Step-by-step explanation:

If we check the sequence of the numbers given, we can find that all of them is the odd multiple of the number three, i.e,

3,9,15,21,27.......

=> 3 (1,3,5,7,9......)

But 150 divided by 3 gives, 50, which is not an odd number, therefore, it will not come in this sequence.

Hope you understand.

Please mark it as the brainliest.

Thank You

Answer 2

No, Ben is not right. there is no term in the given sequence with a value of 150.

What is an arithmetic sequence?

The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d

The sequence given is an arithmetic sequence with a common difference of 6 since each term is 6 more than the previous one.

To find out if 150 is a term in the sequence, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

where an is the nth term, a₁ is the first term, n is the number of the term we want to find, and d is the common difference.

Plugging in the values we know:

a₁ = 3

d = 6

To find n, we can use:

aₙ = 150

So, we have:

150 = 3 + (n - 1)(6)

Simplifying:

147 = 6n - 6

153 = 6n

n = 25.5

Since n is not a whole number, 150 is not a term in the sequence.

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Related Questions

A group of doctors are conducting an experiment to test a new nutritional supplement. They randomly selected 600 subjects, assigning
300 subjects to receive the supplement and 300 subjects to receive a placebo. The doctors are unaware of which subjects are assigned to each
treatment group.
This experiment is
_____because_____
know which treatment group each subject is in.

Answers

Answer:

here in the pic

Step-by-step explanation:

Somebody knows how to do that?

Answers

Answer:

p(g) (85 if  3g)

p(g) (135 if 3g)

p(g) (195 if 6g)

lets move p fwd so that 3+3+2 = 8

8 games = 3(85) + 3(135) + 2(195)

               =  255 + 405 + 390

               =  1050 yards

Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game  = 1050/8 = 131.25 mean or even the range  405-255 = 150 range whilst the median would be 135

Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.

Let me know what the statement choices are and I'd be happy to help.

Step-by-step explanation:

Which group of numbers could be the measures of the sides of a right
triangle?

Answers

Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

What is 5/6 divided by 1/4 in simplest form?

Answers

Answer:..

Step-by-step explanation:

Plz help me well mark brainliest if correct.....????.

Answers

The answer is A, 12. :)

Answer:

12 cubic centimeters

Step-by-step explanation:

Please help, I will mark you brainly, thank you if you do

Please explain well
Look at the picture

Answers

Answer:

Vertex: (1/2, 9/2)

the axis of symmetry: 1/2

x-intercept(s): (2,0) , (-1,0)

y-intercept: (0,4)

Step-by-step explanation:

you can search up math.way to solve math problems hope this helped!

     (no dot between it ^) have a good day

Need help with using the graph to find the numbers

Assignment is about evaluating composition of functions from graphs anything helps

Answers

Answer:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

----------------------

What would you do to solve the system?
System of equations
Click on the correct answer.
12x = 48 - 8y
10x + 8y = 38
?
Add the equations.
12x = 48 - 8y
10x = 38 - By
Subtract the equations.
3. To decide whether to add or subtract,
determine if the values of the
coefficients are the same or opposites:
. If the values are the same, subtract the
equations.
• If the values are opposites or additive
inverses, add the equations.
Remember, you're trying to remove one
variable.

Answers

Answer:

To decide whether to add or subtract,  determine if the values of the  coefficients are the same or opposites:

. If the values are the same, subtract the  equations.

• If the values are opposites or additive  inverses, add the equations.

Step-by-step explanation:

Given

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Required

How to solve

Options (1) and (2) are incorrect because none of the options eliminate x or y.

For option (3),

- Check for the coefficients of x and y

- If they are the same (sign and value), then subtract; otherwise add

For instance:

[tex]12x = 48 - 8y[/tex]

[tex]10x + 8y = 38[/tex]

Rewrite the second equation

[tex]12x = 48 - 8y[/tex]

[tex]10x = 38 - 8y[/tex]

The coefficient of y are the same, so we subtract;

[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]

[tex]12x - 10x = 48 - 38 -8y +8y[/tex]

[tex]2x = 10[/tex]

[tex]x= 5[/tex]

See that y has been eliminated

Consider the relationship 5r+8t=10 A. write the relationship as a function r=f(t) B. Evaluate f(-5) C. solve f(t)= 26

Answers

Answer:

A) [tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex], B) [tex]f(-5) = 10[/tex], C) [tex]t = -15[/tex] for [tex]f(t) = 26[/tex]

Step-by-step explanation:

A) Let be [tex]f(t) = r[/tex] and [tex]5\cdot r + 8\cdot t = 10[/tex], the latter expression is a function in implicit form and we need to turn it into its explicit form, where [tex]t[/tex] is the independent variable.

[tex]5\cdot r = 10 - 8\cdot t[/tex]

[tex]r = 2 -\frac{8}{5}\cdot t[/tex]

[tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex]

B) If we know that [tex]t = -5[/tex]. then [tex]f(-5)[/tex] is:

[tex]f(-5) = 2 - \frac{8}{5}\cdot (-5)[/tex]

[tex]f(-5) = 10[/tex]

C) If we know that [tex]f(t) = 26[/tex], then we solve for [tex]t[/tex]:

[tex]2 - \frac{8}{5}\cdot t = 26[/tex]

[tex]\frac{8}{5}\cdot t = -24[/tex]

[tex]t = -15[/tex]

if your recipe for minestrone soup call for 3 quart of chicken broth. You have 2 liters. How much more do you need? give answer in quarts.

Answers

approximately 1 more liter, but .84 liters to be exact
1 quart = .95 liters

Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

Answers

Answer:

(-1/12)(x-3)(x-8)

or

[tex]-\frac{x^2-11x+24}{12}[/tex]

Step-by-step explanation:

If something has x intercepts of (3,0) and (8,0) we can write the following

y=(x-3)(x-8)

To make the y intercept (0,-2) we will mulitply this by some constant, a

y=a(x-3)(x-8)

to solve for a set y= -2 and x=0

a(0-3)(0-8)= -2

a(-3)(-8)= -2

24a= -2

a= -1/12

Which means our final equation is

(-1/12)(x-3)(x-8)

which in standard form is equal to

[tex]-\frac{x^2-11x+24}{12}[/tex]

What is 17% of 13.00

Answers

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

PLZ AWNSER I HAVE 10 MIN TIMER PLZ HELP ME

Answers

Both ........................

I need help with this ​

Answers

Answer:

i thinck its just 1 and 2

Step-by-step explanation:

Decrease £2123 by 8%
Give your answer rounded to 2 DP

Answers

The Decreased amount of  £2123 by 8% is approximately; £1953.16

How to find percentage decrease a value?

We want to decrease £2123 by 8%.

We can do this by the following formula;

Decreased amount = 2123 * (100% - 8%)

Decreased amount = 2123 * 92%

Decreased amount = £1953.16

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50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer: Is that ixl?also the answer  is 6 or 7 id.k which one

Jaiden painted his room 2/6 white and 1/3 purple. what fraction of his room was not white or purple

Answers

Answer: 1/3

Step-by-step explanation: Since 2/6=1/3 we could just add those together and find out that 2/3 is painted and 1/3 isn't.

Answer:

1/3 is the answer add white and purple fraction which give 2/3 so 1/3 would be left

hope this helps

have a good day :)

Step-by-step explanation:

Evaluate (3.4x10 4) (4.5x10 3).write your answer in scientific notation

Answers

Answer:

1.5×10^8

Step-by-step explanation:

Scientific notation can be regarded as

way to express large or too small numbers conveniently written in decimal form.

Given (3.4x10 4) (4.5x10 3).

To write your in scientific notation

3.4x10^4) (4.5x10^3)

This is multiplication

(3.4x10^4) ×(4.5x10^3)

(3.4x10^4)= 34000

(4.5x10^3)= 4500

Then multiply

4500 × 34000

= 153000000

= 1.5×10^8

In triangle ABC, the complement of < B is < A.

Which statement is not always true?

Answers

Answer:

[tex](c)\ \tan B = \sin A[/tex]

Step-by-step explanation:

Given

[tex]\angle A + \angle B = 90[/tex] --- Complement angles

See attachment for complete question

Required

Which is not always true

To do this, we simply test each option

[tex](a)\ \sin A = \cos B[/tex]

The above is always true, if A and B are complements.

Examples are:

[tex]\sin(40) = \cos(50)[/tex]

[tex]\sin(90) = \cos(0)[/tex]

etc

[tex](b)\ \sec A = \csc B[/tex]

The above is always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]

Cross Multiply

[tex]\sin B = \cos A[/tex]

This is literally the same as (a)

[tex](c)\ \tan B = \sin A[/tex]

The above is not always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{\sin B}{\cos B} = \sin A[/tex]

Cross multiply

[tex]\sin B = \sin A * \cos B[/tex]

If A and B are complements. then

[tex]\sin A = \cos B[/tex]

So, we have:

[tex]\sin B = \sin A * \sin A[/tex]

[tex]\sin B = \sin^2 A[/tex]

The above expression is not true, for values of A and B

[tex](d) \cot B = \tan A[/tex]

The above is always true, if A and B are complements.

An example is:

[tex]\cot (55) = \tan (25) = 0.7002[/tex]

etc.

Un terreno cuadrangular mide 1/4 km de un lado y 1/6 km del otro lado. El area es 1/24.

Calcula el perímetro.

Answers

The answer to this message was because I had to

Find the measure of angle QZT.

Answers

Answer:    112

========================================================

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

TUUVVQ

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees

Can someone plz help with this? Thank you so much.

Answers

Answer:

A. 3

Step-by-step explanation:

[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]

Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Answers

 

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

help me pls I'll give you briliantest if you give me the right answer and no links​

Answers

Answer:

8

Step-by-step explanation:

your welcome hope this helps :)

Solve the proportion then around your answer to the nearest hundredth

Answers

The answer is 12.1
Have a nice day

What is the surface area of the solid that this net can form?
ווווו 8
וחון 25
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
875 square millimeters
O 1,000 square millimeters

Answers

Answer:

CAN NOT SEE SHAPE

Step-by-step explanation:

Find the surface area of the sphere.
r = 3 cm
Formulas for Spheres
S.A. = 4tr2
V = grur S.A. = [?] cm2
Round to the nearest tenth.

Answers

The surface area of the sphere is 113 square cm

How to determine the surface area?

The radius is given as:

r = 3 cm

The surface area is calculated as:

[tex]A = 4\pi r^2[/tex]

So, we have:

[tex]A = 4\pi * 3^2[/tex]

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113

what is it to the nearest whole degree? NO DECIMALS !

Answers

Answer:

62 degrees.

Step-by-step explanation:

GOLF Sky is a member of her school’s golf team. The table shows her scores from each of her matches. What was her average golf score? Round to the nearest tenth if necessary.
Table:
72|69|72
71 |71|69
68|72|68

Answers

Answer:

72,70,72, 71,71,70,69,72,69

I really didn't understand the question or what to do, but I tried.

Step-by-step explanation:

Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown hair. Is this an example of inductive or deductive reasoning?
a) Deductive.
b) Inductive.
c) Both deductive and inductive.
d) Neither deductive nor inductive.

Answers

Answer:

b) Inductive

Step-by-step explanation:

It is correct to say that this is an example of inductive reasoning, because the reasoning is based on a situational perception and not on actual logic. Sarah based her reasoning on a premise that if she and her brothers have brown hair, then if she had another brother, he would also have brown hair.

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