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Anarel [89]
3 years ago
12

What is the sequence for g(1)=-29 g(n)=g(n-1)x(-4)

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

g(n) = -29×(-4)ⁿ⁻¹

Step-by-step explanation:

This the recursive formula of a sequence g :

g(1)=-29

g(n)=g(n-1)x(-4)

now ,we want to deduce the standard explicit formula of that sequence

It’s clear from the recursive formula (above) that  :

_The common ratio = -4

_the first term = -29

Then

the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹

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Find the equation of the line that passes through (-1, 4) and is perpendicular to the
statuscvo [17]
For perpendicular lines, m2 = -1/m1; where m1 is the slope of line 1 and m2 is the slope of line 2.
m1 = (-4 - 2)/(4 - 2) = -6/2 = -3
m2 = -1/-3 = 1/3
Equation of the required line is given by: y - 4 = 1/3 (x - (-1))
y - 4 = 1/3 x + 1/3
y = 1/3 x + 1/3 + 4
y = 1/3 x + 13/3
6 0
3 years ago
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean
Elden [556K]

Answer:

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

Step-by-step explanation:

Data given and notation  

\bar X=3.8 represent the sample mean

s=0.5 represent the sample standard deviation for the sample  

n=15 sample size  

\mu_o =4 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 68  

Alternative hypothesis:\mu < 4  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

3 0
3 years ago
94 POINTS!!! pls help
svp [43]

Answer:

Hey love! x = 6

Step-by-step explanation:

because 13 x 6 = 78

HOPE THIS HELPS!

7 0
3 years ago
Read 2 more answers
My number is an even number. my number is greater than 7,200. My number is?​
hjlf

Answer:

for the even number your answer would be 7,316

Step-by-step explanation:

an even number always needs to end with an even number

7 0
3 years ago
You buy a watch for $60. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sal
Natalka [10]

Answer:

$9.00

Step-by-step explanation:

                                     ~~~~Hey there~~~~

1. Since it was 15% discount, that means you have to solve 15% of 60, which is equivalent to 0.15 x 60.

2. Since the product of 0.15 and 60 is 9, then 9 is your answer.

3. Your final answer is $9.00

Hope this helped!

~delightedsunrise8

4 0
3 years ago
Read 2 more answers
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