All categories

3 years ago

Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28

Mathematics

1 answer:

natali 33 [55]3 years ago

4 0

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequence $a_n=4n-7$ , the parameter $n$ must to be a integer.

Second, we need to solve the equations by $n$ .

$n=(a_n+7)/4$

All the option in the problem represent an $a_n$

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

$n=(29+7)/4=9\\$

For B)

$n=(21+7)/4=7\\$

For C)

$n=(20+7)/4=6.75\\$

For D)

$n=(28+7)/4=8.75\\$

Only A) and B) only A and B meet the requirement

You might be interested in

Drag each equation to the model and situation it matches.

Alexxandr [17]

Answer:

YNW's ah family

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Criterion: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the inf

Papessa [141]

The table is missing in the question. The table is provided here :

Group 1 Group 2

34.86 64.14 mean

21.99 20.46 standard deviation

7 7 n

Solution :

a). The IV or independent variable = Group 1

The DV or the dependent variable = Group 2

b).

$H_0: \mu_1 = \mu_2$

$H_a:\mu_1 < \mu_2$

Therefore, $t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{S_2^2}{n_2}}}$

$t = \frac{34.86 - 64.14}{\sqrt{\frac{21.99^2}{7}+\frac{20.46^2}{7}}}$

t = -2.579143

Now, $df = min(n_1 - 1, n_2 - 1)$

df = 7 - 1

= 6

Therefore the value of p :

$=T.DIST(-2.579143,6,TRUE)$

= 0.020908803

The p value is 0.0209

$p< 0.05$

So we reject the null hypothesis and conclude that $\mu_1 < \mu_2$

7 0

3 years ago

Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is

RSB [31]

Simultaneous Equations

2u + b = $110
4u + 3b = $268

(x2) 4u + 2b = $220
(x1) 4u + 3b = $268

<em />If both the matching coefficients are the same, we subtract equation 2 from equation 1

2b - 3b = -b
$220 - $268 = $-48
-b = -$48
b = $48

If you want to find out what a unicycle costs...
Substitute b = $48 into the first equation
2u + $48 = $110
Balance the equation, whatever happens on one side, happens on the other.
2u + $48 (-$48) = $110 (-$48)
2u = $62
2u(/2) = $62(/2)
u = $31

4 0

2 years ago

!!!!!HELP!!!!! 25 POINTS!!!

cluponka [151]

Answer:

Formula: A = 48,000(1+0.02)^t

salary after 30 years: $ 86,945.35

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = initial salary

r = raising rate (decimal form)

t= years

A = salary after t years

Replacing with the values given:

A = 48,000 (1+ 2/100)^t

A = 48,000(1+0.02)^t

Salary after 30 years: substitute t=30

A = 48,000(1+0.02)^30

A = 48,000(1.02)^30

A=$ 86,945.35

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago

Read 2 more answers

Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c

Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

$D = \sqrt{(p-r)^2+(q-s)^2}$

So, distance between the points (1, 5) and (5, 1) is :

$D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units$

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0

3 years ago