Here is the question

The nth term of the Sequence: 40, 33, 26, .... is 47 - 7n.

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

Here, we know nth term of the Arithmetic Sequence is

             Aₙ = A + (n - 1)D

where, A is first term and D is common difference

   A = 40 and D = 33 - 40 = -7

Now,    Aₙ = 40 + (n - 1) (-7)

            Aₙ = 40 - 7n + 7

          Aₙ = 47 - 7n

Thus, the nth term of the Sequence: 40, 33, 26, .... is 47 - 7n.

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THIS ONE I CANT FIGURE OUT SORRY :C

50m ≅164 ft (3s.f.)

50m/s≅164 ft/s

distance after 20s:

d=164 ft/s ⋅20s

=3280ft

Hope This Helps!

Answer:

B

Step-by-step explanation:

Let's take a look at each statement.

A: ∠1 ≅ ∠8

Angle 1 is congruent to angle 8.

If lines are parallel then angle 1 and angle 8 would be same side (consecutive) exterior angles which are supplementary and not congruent.

Therefore this statement would prove that the lines are not parallel.

B: ∠1 ≅ ∠7

Angle 1 is congruent to angle 7.

If lines are parallel then angle 1 and angle 7 would be alternate exterior angles which are congruent.

This statement proves that the lines are parallel. We have angle 1 that is at line AB and angle 7 which is at line CD. It's important that one angle is at one line and the second angle at the other line, otherwise we cannot prove that the lines are parallel.

C: ∠6 ≅ ∠8

Angle 6 is congruent to angle 8.

Angles 6 and 8 are vertical angles and they are congruent.

This statement is correct but it doesn't tell us anything about the relationship of angles at the other line, therefore it proves nothing.

D: ∠1 and ∠2 are supplementary.

Angles 1 and 2 create a linear pair, therefore they are supplementary.

This statement is also correct but again it tells us nothing about the angles at the other line so it again proves nothing.

Answer:

Answer is 100

Step-by-step explanation:

(64/8+2-10) + (81+19)

(8+2-10) + (81+19)

(10-10) + (100)

(0) + (100)

0+100

100

Answer:

C) [tex]x=\frac{\log(6)}{2\log(3)}[/tex]

Step-by-step explanation:

[tex]15(3)^{2x}=90\\\\3^{2x}=6\\\\2x=\log_3(6)\\\\2x=\frac{\log(6)}{\log(3)}\\\\x=\frac{\log(6)}{2\log(3)}[/tex]

Remember to use the change of base formula, which states that [tex]\log_a(b)=\frac{\log(b)}{\log(a)}[/tex] so that everything has the same base of 10

Answer:

[tex]\frac{4}{13}[/tex]

Step-by-step explanation:

1÷3[tex]\frac{1}{4}[/tex]=3+[tex]\frac{1}{4}[/tex],  3×[tex]\frac{4}{4}[/tex]

1÷[tex]\frac{13}{4}[/tex]

Answer:

The fraction of the rebounds the rest of the team get was 13/72 (13 out of the 72 total)

Step-by-step explanation:

Jacob gets 4/9

Adam gets 3/8

Since the given fraction provided doesn't have common denominator we would need to do thos first...

4/9 x 8/8 = 32/72

3/8 x 9/9 = 27/72

combining Adam and Jacob rebounds...

32/72 + 27/72 = 59/72

so the remaining, uncounted rebounds are...

72 - 59 = 13

Answer:

[tex]\huge\boxed{\bf\:r > -4 }[/tex]

Step-by-step explanation:

[tex]3(r+1)+2 > -7[/tex]

Use the distributive property to solve 3 (r + 1).

[tex]3r+3+2 > -7 \\3r + 5 > -7[/tex]

Now, bring 5 to the right hand side of the inequality .

[tex]3r > -7-5 \\3r > -12[/tex]

Divide both sides of the inequality by 3.

[tex]r > \frac{-12}{3} \\\boxed{\bf\:r > -4 }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

10/10

Step-by-step explanation:

Answer:

I will answer them from top to bottom

1. 2A

2. 2A-B

3. 2A+3A

4. 2(A-B)

Step-by-step explanation:

You don't need an explanation. I am just putting this here so my answer does not get taken down.

The formula s= ut + 1/2gt^2

Represents the total distance "s" travelled by an object in time "t" which has an initial speed of "u" and is accelerating at the uniform rate of "g". It is customary to use the symbol "g" for acceleration due to gravity. However this equation is valid for any value of uniform acceleration.

We can derive the equation as follows.

The total distance travelled by a uniformly accelerating object is equal to average speed multiplied by time

That is: s = (average speed)*t ... (1)

And, average speed = (initial speed + final speed at the end of period t)/2

And final speed = u + gt

Therefore: Average speed = (u + u + gt) = 2u + gt

Substituting this value of average speed in equation (1) we get:

s = (2u + gt)/2]*t = ut +1/2gt^2

hope it helps...!!!

The SECA taxes for the income $57000 will be $7068.

SECA stands for Self Employed Contributions Act. These taxes are computed from the net earnings, which in this case is $57000.

The basic rate for SECA taxes is 6.2% for employeer and 6.2% for employee. In the case of people who are self employed, the taxes are double, because they are employee and employeer at the same time.

So, Doug have to pay 12.4% taxes, which is equivalent to:

[tex]\rm SECA=57000\times 12.4\%= $7067[/tex]

Therefore, the SECA deduction for Doug is $7068.

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Answer:

Picture 3: A cylinder with height of 8 meters and diameter of 40 meters.

Picture 5: A cylinder with height of 128 meters and diameter of 10 meters.

Step-by-step explanation:

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

Given:

Which Cylinders have the same volume as the cylinder below? Cheok all that apply, height- 20m and base- 32m:

Answer choices:    

picture 1: 40m  and 16

picture 2: 5m  and 64

picture 3: 40m and 8

picture 4: 32m and 20

picture 5: 10m and 128

Formula for Cylinders:

V=Bh or V=πr²h

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

Diameter = Half of Radius {Divide by 2}

Original Cylinder:

20m and 32m

20/2 = 10

V=πr2h=π·102·32≈10053.09649

V ≈ 10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Picture 1: 40m  and 16

40/2 = 20

V=πr2h=π·202·16≈20106.19298

V ≈20106.19

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 2: 5m  and 64

5/2 = 2.5

V=πr2h=π·2.52·64≈1256.63706

V ≈1256.64

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 3: 40m and 8

40/2 = 20

V=πr2h=π·202·8≈10053.09649

V≈10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 4: 32m and 20

32/2 = 16

V=πr2h=π·162·20≈16084.95439

V≈16084.95

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 5: 10m and 128

10/2 = 5

V=πr2h=π·52·128≈10053.09649

V≈10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

After solving each answer choices the answers are:

picture 3: 40m  and 8

picture 5: 10m and 128

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Kavinsky

Answer:

B

Step-by-step explanation:

[tex] \frac{25}{8} = 3.125[/tex]

π = C/d = 25/8 = 3.125

Answer:

3x^2 +8

Step-by-step explanation:

f.g(x) = f(x^2) = 3(x^2) + 8 = 3x^2 +8

Answer:

5747.37

Step-by-step explanation:

5 000 ( 1 + .01) ^14

 =   5747.37

Explanation:

Start with 11, and count down until you reach 1. Multiply everything along the way.

11*10*9*8*7*6*5*4*3*2*1 = 39,916,800

Or a shortcut would be to say

11! = 39,916,800

The exclamation mark means factorial. It tells the calculator to follow the instructions mentioned above.

The number 39,916,800 is a little over 39.9 million, or you could say it's a bit smaller than 40 million.

Answer:

you first can check online, call your bank, visit an ATM, set up alerts, or ask a teller.

Answer:

Your equation is [tex](x - 1)^2 + (y +1)^2 = (\frac{1}{2} )^2[/tex]

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (1,-1).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (1,-1) and (x,y) =  (0.5,-1) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(0.5 - (1))^2 + (-1 - (-1))^2 = r^2

(-0.5)^2 + (0)^2 = r^2

1/4= r^2

r^2 = 1/4

r = 1/2

Answer:

{5a-b+c=10}

{a-3b-c=-4

[2a+2b-c=6

Step-by-step explanation: so it's 6 hope this helps. Let me know if it helps and give brainliest.

quaddale dingle said hey, whats up

Answer:

Step-by-step explanation:

we know that the total angles around the big triangle are 180° so,  we know the right angle is 90° and we are told that one of the angles is 52° so just find the last angle by

180 = 90 + 52 + X

180 - 90 - 52 = X

38 = X

b = 38°

a = 52°

Answer:

Step-by-step explanation:

We know:

Angles in a triangle sum to 180°.

Therefore:

52° + 90° + b = 180°

142° + b = 180°    |-142°

(look at the picture)

a + b = 90° ⇒ a + 38° = 90°   |-38°

or

Angles 52° and a, are alternate interior angles. Therefore they are congruent.

Answer:

the answers c 157.5

Step-by-step explanation:

on edg 2022

The area of given isosceles trapezoid is c. 157.5 decimeters².

⇒ (1/2*sum of the two parallel sides *height)

  ⇒ 1/2*(26.5+8.5)*9

 ⇒ 157.5  decimeters².

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Answer:

21x

Step-by-step explanation:

7x is one term. With parenthesis, you have to multiply whatever is on the outside, inside. So that's 3*7x, or 21x.

Hope this helps!

Hey there!

3(7x)

= 3 * 7x

= 7x * 3

= 7x + 7x + 7x

= 14x + 7x

= 21x

Therefore, the answer should be: 21x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

We Notice that 2 and 5 are two prime numbers

Remark : the least common multiple of two prime numbers is equal to their product .

Then

LCM(2 , 5) = 2 × 5 = 10

2 * 5

= 10 ⟶ least common multiple of the number (since no common factor is there)

Answer:

See below ~

Step-by-step explanation:

Details of the graph