a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answers

Answer 1

Answer:

first term of the pattern​ (T₁) : 10

Step-by-step explanation:

T₁  ;    1 ;    -6 ;   T₄ ;    -14  

1-T₁  ;  -6-1   ; T₄-(-6)  ; -14 -T₄    (First Tₙ-Tₙ₋₁)

-8+T₁  = T₄+13 = -2T₄-20            (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20          3T₄ = -33          T₄ = -11

-8+T₁  = T₄+13         -8 + T₁ = -11 + 13 = 2

T₁ = 10


Related Questions

y = 3x - 4; (2,7)
Write an equation for the line that is parallel to the given line and that contains the given point
Please help ASAP thank you

Answers

y=3x+1! It is parallel because they have the same slope and it contains the point (2,7)

420 es el 36% de 15120?

Answers

Answer:

False

Step-by-step explanation:

36% of 15120 =

36% * 15120 = 36/100 * 15120 = 36 *

false 36% of 15120 is 544.32

I need help can someone please help me

Answers

Answer:

If you are trying to find the other degree its 114.

Step-by-step explanation:

180-66=114

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Answers

Answer:

area of rectangle =72in

area of triangle = 3in

square in of plastic in ruler =69in

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST

Answers

Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

A college student wants to determine if degree of introversion/extroversion is associated satisfaction with life. She has a sample of 68 people take two surveys. The first survey yields a higher score the more extroverted a person is. The second survey yields a higher score the more satisfied a person is with their life. What statistics should you use to determine if scores on these two surveys are related to each other

Answers

Answer: Correlation

Step-by-step explanation:

The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.

Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.

In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.

Arletta built a cardboard ramp for
her little brother's toy cars. Find
the volume of this ramp.
-

Answers

Answer:

525

Step-by-step explanation:

25 x 6 = 150;   150 / 2 =75;   75 x 7 = 525

Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4

PLEASE HELP MEH
find the equation the line
use exact numbers
y=___x+____

Answers

7 and 9 so what u do is calculate the graph and done

If 9% of a number equals 10, find 90% of that number.

Answers

Answer:

100

Step-by-step explanation:

In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.

This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, [tex]\frac{9}{10}=\frac{90}{x}[/tex]. Then cross multiply to get the equation, [tex]9x=900[/tex]. Finally, divide both sides to get x=100.

X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)

Answers

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

10 Pounds in 4 weeks, how many in 1 week

Answers

Answer:

2.5

Step-by-step explanation:

This is unit rate. All you have to do is 10 divided by 4.

It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.

Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"

Answers

Answer:

[a]. check attachment.

[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question above.

[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.

KINDLY NOTE: The data is right-skewed.

[b].  ALLERGIC             MEAN        SE MEAN         STDEV           N

      FALSE                     1510             251                  1789            251

        TRUE                    530              109                 343               10

False - true = difference in a.

Hence, 80 = estimated difference.

For the difference, 95% CI = (434, 1527).

DF = 58, P-value = 0.001, and the T value = 3.59.

Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

The tree diagram represents an
experiment consisting of two trials.
.3
.4
B

Answers

Answer:

.32

Step-by-step explanation:

.4x.8=.32

Please help ill give BRAINLIEST. This is geometry

Answers

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

2/3 - 3/7

explain, please...

Answers

find a common denominator
the common denominator of 7 and 3 is 21
2/21 - 3/21
change the numerator
14/21 - 9/21 =5/21

Answer: 8/21

Answer and work are in the picture!

A​ new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1000 adults and finds​ (by other​ means) that ​3% have this type of cancer. Each of the 1000 adults is given the​ test, and it is found that the test indicates cancer in 99​% of those who have it and in ​2% of those who do not. Based on these​ results, what is the probability of a randomly chosen person having cancer given that the test indicates​ cancer? Of a person having cancer given that the test does not indicate​ cancer?

Answers

Watch the picture for an explanation

I need help please.

Answers

Answer:

Equal

Step-by-step explanation:

Factor out the
greatest common factor.
4x2 + 2x - 8

Answers

Answer:2(2x2+x−4)

Step-by-step explanation:

Factor 4x2+2x−8

4x2+2x−8

=2(2x2+x−4)

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
For example,
1. You can find the surface area of the rectangular prism.
2. You can find the volume of a rectangular prism.
3. ???????????????????????????????????????????

Answers

Answer:

you can find the height of a rectangular prism

what about this one. pls help me

Answers

Answer:

54

Step-by-step explanation:

486(1/9)

Answer:

I believe it’s 54 more people

Step-by-step explanation:

Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps

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Answers

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Please help ill give BRAINLIEST!

Answers

Answer:

27 feet

Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

Write an equation of a function that is not linear.

Answers

Don’t go into that link

How many time does 217.39 go into 5000

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu


5. Trenton is going to close and wrap the box
shown in wrapping paper. How many square
inches of wrapping paper will he need?

Answers

Answer:

Answer in the picture posted

A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?

Answers

I believe it is A, The first dot plot is skewed right. Not sure though.

if each data is increased by a constant K then find it's mean ?? answer fast pleaseerrreeeeeeeeee​

Answers

Answer:

per month. the only thing is that it is a bit of a new one of our customers

7. Which of these expressions are equivalent to 10x + 11? Select the three that apply.
A. 5(2x + 10)+1
B. 7(x + 2) + 3x - 3
C. 3(3x + 4) + X-1
D. 2(6x + 4) + 2x + 5
E. 2(6x + 5) - 2x + 1

Answers

Answer:

B

Step-by-step explanation:

7 times 1x equals 7x. Then 7 times 2= 14. Thirdly, 7x plus 3x equals 10x. Lastly, 14 -3 equals 11. So 10-+11 altogether

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