Look at the pattern. Find the next number in the sequence using inductive reasoning 1,2,2,3,3,4,4,…

Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

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FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

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Q1)

According to the figure on the right side of the question paper ,

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180°    (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180°  (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

⇒ ∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

Answer:

D is the answer

Step-by-step explanation:

2j²/3k⁴ simplified form

The answer is The last answer choice 2j to the power of 2 over 3k to the power of 4

Answer:

find common denominators

1. 19/15 or 1 4/15

2. 5/12

3. 29/24 or 1 5/24

4.1/6

5. 19/30

6. 13/18

7. 31/24 or 1 7/24

8. 11/20

Answer:

f(-4)   =20

Step-by-step explanation:

f(-4) =  [tex](4)^{2}[/tex] +4 ( Insert -4 in)

f(-4) = 16+4

f(-4)   =20

Answer:

360

Step-by-step explanation:

Volume of a rectangle is length times width times height

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

w < 7

Step-by-step explanation:

Since the inequality is an OPEN circle, that means the sign is < or >

Since the sign is going to the left that means it's < or ≤

The one that has both of these effects is <

Since the sign starts at 7, the inequality is w < 7

Answer: B. w<7

Step-by-step explanation:

9514 1404 393

Answer:

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

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Additional comment

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

1041.44

Step-by-step explanation:

A=2πrh+2πr^2

=2π6.5×19+2π6.5^2≈1041.43796

Answer:

15+25x

i guess it is done this way

sry if it is wrong

Answer:

i cant read it it pretty but i still cant read it sorry

Step-by-step explanation:

sorry

Answer:

what are the questions

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

From the diagram AB = BC

4x-9 = 15

Add to both sides

4x-9+9 = 15 + 9

4x = 24

Divide both sides by 4

4x/4 = 24/4

x = 6

Hence the value of x is 6

Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer:

76 sq. centimeters.

Step-by-step explanation:

Answer:

76 square centimeters

Step-by-step explanation:

Break it down into easier shapes.

There is one rectangle and one square. Both of them share the same formula for calculating area: length × width.

The rectangle is 6 cm long and 10 cm wide.

Plug this into the formula:

6 cm × 10 cm = 60 cm^2

The square is 4 cm wide. It does not directly say how long it is. Instead, notice how the rectangle below it is 6 cm long and adding the square to it totals to 10 cm long. This means the square is the difference between the total amount of cm and the rectangle's cm. Calculate the difference:

10 cm - 6 cm = 4 cm.

The square is 4 cm long and 4 cm wide.

Plug this into the formula:

4 cm × 4 cm = 16 cm^2

Add both areas together:

60 cm^2 + 16 cm^2 = 76 cm^2

Answer:

Step-by-step explanation:

7 is 1

8 is 2

Answer:

Step-by-step explanation:

Suppose that f(2) = −4, g(2) = 3, f '(2) = −5, and g'(2) = 1.

Find h'(2).

(a)    h(x) = 4f(x) − 5g(x)

Use the constant multiple and difference rules:

h'(x) = 4f '(x) − 5g'(x)

h'(2) = 4*f'(2) − 5*g'(2), now substitute values and solve

h'(2) = 4*(−5) − 5*1 = −20 − 5 = −25

Answer:

The minimum sample size needed is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg.

This means that [tex]\sigma = 25[/tex]

What is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?

This minimum sample size is n.

n is found when M = 5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 1.645\frac{25}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 1.645*25[/tex]

Dividing both sides by 5

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.65[/tex]

Rounding up:

The minimum sample size needed is 68.

Answer:

D. -2

Step-by-step explanation:

The zero of a function is always along the x-axis and in this case that's -2.

Hope this helps :)

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]

In other words, all of our values are now positive. We will utilize the same strategy:

[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

Answer:

i think there is something wrong with this problem

Step-by-step explanation:

maximum sum of all exterior angles is 360°

3(50°) = 150

150° + 127° + 135° = 412°

Answer:

20

Step-by-step explanation:

12.50-8.00=3.00

The number of boxes of cookies that makes the cost equal is 6.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

For the first store,

Cost for 5 boxes of cookies = $12.50

Cost for 1 box of cookie = 12.50 / 5 = $2.50

Cost for x box of cookies = 2.50x

For the second store,

Cost for 4 boxes of cookies = $8

Cost for 1 box of cookie = $8 / 4 = $2

Cost for x box of cookies = 2x

But you have to buy a gallon of milk for $3.00 to get that deal.

Total cost for x boxes of cookies = 2x + 3

Hence the cost model equations are :

C(x) = 2.50x and C(x) = 2x + 3

Cost will be equal when,

2.5x = 2x + 3

0.5x = 3

x = 6

Hence 6 boxes of cookies make both cost equal.

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Answer:

4.7months

Step-by-step explanation:

2.82÷0.6 = 4.7

Answer:

1:3

Step-by-step explanation:

Given thatm

No. of cricket players = 40

No. of kabaddi players = 20

Total no. of players = 40 + 20

= 60

The ratio of kabaddi players to the total number of players is :

R = 20:60

R = 2:6

R = 1:3

Hence, the required ratio is 1:3.

Answer:

The total will be 200, I agree to this person bc i did the math, and he or she is correct

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Nonagon=9sides

Triangle=3sides

Difference=9-3=6

Answer:E

Step-by-step explanation:

( row total * column total ) / ( Table total)

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000

Answer:

4,331.25 in interest

Step-by-step explanation:

22,500.00x3.5%=787.50x5.5=4,331.25

22,500.00+4,331.25=26,831.25 total loan

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years.The loan amount Jim will pay over the course of 5.5 years is $26,823.75.

To calculate the interest Jim will pay and the total loan amount over 5.5 years, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Total Loan = Principal + Interest

Given:

Principal (P) = $22,500

Rate (R) = 3.5% (expressed as a decimal, 0.035)

Time (T) = 5.5 years

Calculating the interest:

Interest = $22,500 * 0.035 * 5.5

Interest = $4,323.75

Jim will pay $4,323.75 in interest over the course of 5.5 years.

Calculating the total loan:

Total Loan = Principal + Interest

Total Loan = $22,500 + $4,323.75

Total Loan = $26,823.75

Therefore, the loan amount Jim will pay over the course of 5.5 years is $26,823.75.

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Full question

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?

( No graph Needed)