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hichkok12 [17]
2 years ago
15

What is the 20th term of the linear sequence?1,7,13,19,25

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
4 0

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

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6^2r=800 round it to the nearest hundreth
kogti [31]

Question: solve for r: 6 ^ (2r) = 800


Answer: 1.87


Step-by-step explanation:

6 ^ (2r) = 800

log(6 ^ (2r)) = log(800)

2r log(6) = log(800)

r = log(800) / (2 log(6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.


6^(2×1.86) = 784.734328546

6^(2×1.87) = 813.365367336


7 0
2 years ago
In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14
Sav [38]

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

4 0
1 year ago
EXPRESS in power notation
lora16 [44]

Answer:

Solution given:

1:

-1/8=\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}

2. -64/27

=\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=<u>5/25</u>

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

7 0
2 years ago
What is the linear function equation represented by the graph?
victus00 [196]

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Further explanation:

The formula for slope of line can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Explanation:

The line intersect \text{y}-axis at \left( {0,- 4} \right).

Therefore, the \text{y}-intercept is -4.

The line passes through the points \left( {0,- 4} \right) and \left( {3,- 3} \right).

The slope can be obtained as follows,

\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}

The slope of the line is \dfrac{1}{3}.

The slope intercept form of the linear equation is given as follows.

\boxed{y = mx + k}

Substitute \dfrac{1}{3} for m and -4 for k in equation y = mx + k.

y = \dfrac{1}{3}x - 4

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Learn more:

  1. If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
  2. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

3 0
3 years ago
Read 2 more answers
An ice cream factory makes 320 quarts of ice cream in 5 hours. How many quarts of ice cream could be made in 36 hours?
Goryan [66]

Answer:

2304 quarts

Step-by-step explanation:

An ice cream factory makes 320 quarts of ice cream in 5 hours. How many quarts of ice cream could be made in 36 hours?

From the above question

5 hours = 320 quarts

36 hours = x quarts

Cross Multiply

5 hours × x quarts = 320 quarts × 36 hours

x quarts = 320 quarts × 36 hours/5 hours

x quarts = 2304 quarts

Therefore, 2304 quarts of ice cream could be made in 36 hours.

4 0
2 years ago
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