Help please will give you points

Help Please Will Give You Points

Answers

Answer 1

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

Sum of N term (Sₙ) = 292

2nd term (T₂) = 8.5

5th term (T₅) = 13

Number of terms (N) =?

Next, we shall determine the first term (a) and the common difference (d) of the series. This can be obtained as follow:

T₂ = a + d

8.5 = a + d ........ 1

T₅ = a + 4d

13 = a + 4d ........ 2

Subtract equation 1 from equation 2 i.e

(2) – (1)

.. 13 = a + 4d

– 8.5 = a + d

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

4.5 = 3d

Divide both side by 3

d = 4.5 / 3

d = 1.5

Substitute the value of d into any of the equation to obtain the value of a. Here, we shall use equation 1.

8.5 = a + d

d = 1.5

8.5 = a + 1.5

Collect like terms

8.5 – 1.5 = a

a = 7

Finally, we shall determine the number of terms as follow:

Sum of N term (Sₙ) = 292

Common difference (d) = 1.5

First term (a) = 7

Number of terms (N) =?

Sₙ = n/2[2a + (n – 1)d]

292 × 2 = n[(2 × 7) + (n – 1)1.5]

584 = n[14 + 1.5n – 1.5]

584 = n[12.5 + 1.5n]

584 = 12.5n + 1.5n²

Rearrange

1.5n² + 12.5n – 584 = 0

Using formula method, the value of n can be obtained as follow:

a = 1.5

b = 12.5

c = –584

n = –b ± √(b² – 4ac) / 2a

n = –12.5 ± √(12.5² – 4 × 1.5 × –584) / 2 × 1.5

n = –12.5 ± √(156.25 + 3504) / 3

n = –12.5 ± √(3660.25) / 3

n = –12.5 ± 60.5 / 3

n = –12.5 + 60.5 / 3 or –12.5 – 60.5 / 3

n = 4 /3 or –73 / 3

n = 16 or –73 / 3

Since the number of terms can not be negative, therefore, the number of term is 16


Related Questions

HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially

Answers

The answer is linearly

Fill in the table using this function rule.
y=5x-1​

Answers

the 1st one is 5(-1)-1= -6
the 2nd one is 5(0)-1= -1
the 3rd one is 5(1)-1= 4
the last one is 5(2)-1= 9

The table values with the function y = 5x - 1.

x      y

-1     -6

0      -1

1       4

2      9

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 5x - 1

For x = -1,

y = -5 - 1 = -6

For x = 0,

y = - 1

For x = 1,

y = 5 - 1 = 4

For x = 2,

y = 10 - 1 = 9

Thus,

The table values are given above.

Learn more about functions here:

https://brainly.com/question/28533782

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A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold

Answers

Answer:

404

Step-by-step explanation:

48 boxes are loaded onto a truck. The still need to load 96% of the boxes onto the truck. What is the total number of boxes being loaded

Answers

Answer:

the total number of boxes being loaded is 1,200 trucks

Step-by-step explanation:

Given that

There are 48 boxes that should be loaded onto a truck

And, still it is required to lead 96% of the boxes onto the truck

We need to find out the total number of boxes that should be loaded

So

Since 48 boxes represent the 4% of the boxes that are loaded

So,

The total number of boxes would be

= 48 × 100 ÷ 0.04

= 1,200 trucks

Hence, the total number of boxes being loaded is 1,200 trucks

In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Is this an example of a sample proportion OR a sample mean?

Answers

Answer:

sample mean

Step-by-step explanation:

Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].

In this problem:

55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]

The mean and the standard deviation of the sampling distribution of sample proportions are given by:

[tex]\mu = p = 0.55[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]

The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]

[tex]Z = -1.01[/tex]

[tex]Z = -1.01[/tex] has a p-value of 0.1562.

0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Triangle ABC with vertices A(-3, 4), B(0, 2),
and C(-2, 1) is translated 4 units right and 5
units down. Which quadrant is the image?

Answers

A(-3, -1)

B(0, -7)

C(-2, -4)

Therefore, the image is in the III quadrant (bottom left).

What is the value of y when x = 0?

Answers

Answer:

0

Step-by-step explanation:

I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.

0 is the answer bc that was all the info given

A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colours. How many combinations of a style and a colour are possible?

Answers

Answer:

10 combinations

Step-by-step explanation:

We can solve the above question using the Fundamental Counting Principle.

This states that:

If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.

We are told in the above question that:

Styles of jeans = 2

Number of colors = 5

Hence,the number of combinations of a style and a colour that are possible is calculated as:

5 × 2 = 10 combinations

Please help ASAP!!
A turtle and a snail are 360 meters (who counts this again?) apart, and they start to move towards each other at 3 pm. If the turtle is 11 times as fast as the snail, and they met at 3:40 pm, find the speed of each.
Thank you!! :)

Answers

Answer:

Turtle = 11 m / min      

Snail = 1 m / min

Total approach speed = 12 m/min

360 m / (12 m/min) = 30 min

Separation is 30  min       at assumed speed of 1 m/min

But we know the separation is 40 min

So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min

Snail moves at 3/4 * 1 m /min = 3/4 m / mi

Total approach speed = (33 + 3) / 4 = 9 m / min

So in 40 min

9 m / min * 40 min = 360 m

(Leaving out those units,  they approach at 12 * unit of speed)

So the unit of speed has to be 360 m / 40 min = 9 m / min

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20

Answers

Complete Question

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?

Answer:

11 2/3 cups of flour

Step-by-step explanation:

From the above question:

6 dozen = 3 1/2 cups of flour

20 dozen = x

Cross Multiply

6 dozen × x = 20 dozen × 3 1/2 cups of flour

x = 20 dozen × 3 1/2 cups of flour/6 dozen

x = 20 × 7/2 /6

x = 140/2 ÷ 6

x = 140/2 × 1/6

x = 140/12 cups of flour

x = 11 8/12

= 11 2/3 cups of flour

Therefore, 11 2/3 cups of flour must be used to make 20 dozen.

Can anyone help me with #3 and #4 and #6 please I will give brainlist!!

Answers

Answer:

3. 15.02

4. 84.05

6. 4,301

Step-by-step explanation:

I'm not too sure how to explain this, but those are the answers.

Evaluate csc(x + pi/2 ) for x = π.

Answers

Answer:

-1 if x=π

Step-by-step explanation:

csc(x+π/2)

csc(π+π/2)

csc(3π/2)

1/sin(3π/2)

1/-1

-1

Therefore, your answer is -1

Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations

Answers

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

[tex]A(x) =48.5 -21x[/tex]

[tex]B(x) =42 -16.8x[/tex]

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set [tex]x = 0[/tex]

So:

[tex]A(x) =48.5 -21x[/tex]

[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]

[tex]B(x) =42 -16.8x[/tex]

[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]

From the above computation:

[tex]A(0) > B(0) \to 48.5 > 42[/tex]

Hence;

Cyclist A lives farther from the Orchard

Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent

Answers

Answer:

Vertical angles are congruent

Mary bought a bag of parsnips that weighed 2 1/4 pounds. She also bought a bag of turnips that weighed 3 times as much as the parsnips. How many pounds of turnips did Mary buy?

Answers

Step-by-step explanation:

2 1/4 is improper fraction, because it's 21/4. To simplify;

21/4 = 21/4  

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.  

21/4 = 5 1/4

With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;

15.75

Conlusion/Answer:

Mary bought 15.75 pounds of turnips.

it’s being timed tysm xx

Answers

x=-2

have an amazing day <3

The answer to the question is x=-2

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Answers

Answer:

C

Step-by-step explanation:

we should set the equations based on what we know using y=mx+b

in the first set, we have m=5 and the +b as 100. This gives y=5x+100

in the second, we  m=20  and the +b of 10. This gives y=20x+10

I belive C would match this. Hope this helps!

Answer:

y=10x+20

y=5x+100

Step-by-step explanation:

find the values of the variables
i will give brainliest to anyone who’s right.

Answers

P is 48
Q is 53
R is 22
S is 24

can someone solve this for me?

Answers

Answer:

A, C, D

Step-by-step explanation:

42 + 14 = 56

38 + 18 = 56

67 + 33 = 100

70 + 30 = 100

93 + 35 = 128

95 + 33 = 128

B)

40 + 22 = 62

32 + 10 = 42

62 ≠ 42

Answers: A, C, & D

Why is A correct?
Well, A is correct because 42+14 is 56, And 38+18 is also 56

Why is B not correct?
Well, 40+22 is 62 but 32+10 is not the same answer because 32+10 is 42

Why is C correct?
Well, 67+33 is 100 and 70+30 is also 100

Why is D also correct?
Well, 93+ 35 is 28 and 95+ 33 is indeed, 128

Hope this helped!

Answer choices:

16/3
40/9
4/9
4/3

Answers

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of [tex]x[/tex], we can rewrite the equation replacing the variables.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2[/tex]

Now solve. While solving, remember the order of operations.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444[/tex] or [tex]\frac{4}{9}[/tex]

8. This model of the backboard of a basketball goal is made of a semicircle. Use the ruler provided to measure the dimensions of the model to the nearest half inch. Which measurement is closest to the area of the model of the backboard in square inches? Use 3 for π.

Answers

It is c i did it oh khan

(pls branliest)

Find the surface area of the figure.
11.1 m
3.5 m
4 m
4 m
4 m

Answers

Answer and Step-by-step explanation:

Work is in picture.

#teamtrees #PAW (Plant And Water)

The temperature at midnight is -5°C and is expected to drop 12°
by sunrise. What is the expected temperature at sunrise?

Answers

Answer:

-17 degrees Celsius.

Step-by-step explanation:

If the temperature at midnight is -5, and it is supposed to drop 12 more by sunrise, the 12 degrees are subtracted from the initial temperature.

-5 - 12 = -17 degrees by sunrise.

Anyone knows this? im giving 20 points pls answer , and it doesnt need to be big im just in 9th grade

Answers

Answer:

men=24%

women=72%

Step-by-step explanation:

100/250=0.4

0.4*180=72

0.4*60=24

i think this is the answer

Simplify (2-6)(5)(23 . 5)2.

Answers

Answer:

The answer is 125.

Which graph represents the inequality
X > 15?

Answers

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

Learn more about inequality here:

https://brainly.com/question/20383699

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The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?

Answers

22 units. You are finding the perimeter here.
24/8=3
3+3+8+8=22
Your answer is 22 units

Decide if the expression is positive or negative - explain how you know in words


−11×(23)

Answers

The expression is negative.
Positive * Positive = Positive
Positive * Negative = Negative
Negative * Negative = Positive
In this expression, there is one positive number, and one negative number. The expression is going to be negative.

What’s the domain of this graph?

Answers

Answer: ( ∞ , -∞ )

Step-by-step explanation:

what is 15/9 equivalent to

Answers

Answer:

1 6/9 or 1 2/3

Step-by-step explanation:

Answer: A lot of fractions

Step-by-step explanation:

Some Examples: 5/3, 10/6, 20/12

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