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steposvetlana [31]
3 years ago
10

The number of views on a viral video can be modeled by the function S(t)=9600(3)^t+2. Write an equivalent function of the form S

(t)=ab^t.
Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

The equivalent expression would be;

S(t) = 86,400•3^t

Step-by-step explanation:

Here, we want to make a transformation

From what we have;

S(t) = 9,600(3)^(t + 2)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

S(t) = 9600•3^t•3^2

S(t) = (9 * 9600) * 3^t

S(t) = 86,400•3^t

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We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the actual degree measure of arc KJ? *
Goryan [66]

Answer:

I think its 20x - 2 because when u are given KJ or KL we need the measurement of x

4 0
3 years ago
You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that co
OverLord2011 [107]

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

1/3 × 2/10 = 0.067

1/3 × 1/10 = 0.033

1/3 × 0/10 = 0

TOTAL = 0.333

7 0
3 years ago
Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construc
Anarel [89]

Answer and Step-by-step explanation: Scaterplot is a type of graphic which shows the relationship between to variables. In this question, you want to determine if there is a linear relationship between overhead widths of seals and the weights. So, the hypothesis are:

H₀: no linear correlation;

H₁: there is linear correlation;

In this hypothesis test, to reject H₀, the correlation coefficient r of the data set has to be bigger than the critical value from the table.

With α = 0.05 and n = 6, the critical value is 0.811.

The linear correlation is calculated as:

r = n∑xy - ∑x.∑y / √[n∑x² - (∑x)²] [n∑y² - (∑y)²]

r = \frac{6.9632 - 51.1108}{\sqrt{6.439 - (51^{2} )}.6.14482 - (1108^{2} ) }

r = 0.9485

Since r is bigger than the critical value, H₀ is rejected, which means there is enough evidence to conclude that there is linear correlation between overhead widths and the weights.

In the attachments is the scaterplot of the measurements, also showing the relationship.

5 0
4 years ago
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (-5, 1)? Check all
Lilit [14]

Answer:

B, E

Step-by-step explanation:

The equation of that line in slope intercept form is y = -2/5x + 2

The slope of a line parallel to that line will be the same as its slope, so -2/5.

To find the y-intercept of a line that passes through the point (-5, 1) with that slope, you will have to plug in the x and y values of that point into what you know of the equation of the line.

y = -2/5x + b

1 = -2/5(-5) + b

1 = 2 + b

-1 = b

From this, you can construct an equation.

y = -2/5x - 1

However, this is not an answer choice.  

It cannot be A because this line does not have a slope of -1.

2x + 5y = 15

5y = -2x - 5

y = -2/5x - 1

It can be B because this line is the same as the equation we came up with.

It cannot be C because this line does not have a slope of -1 or a y-intercept of -3.

2x + 5y = -15

5y = -2x - 15

y = -2/5x - 3

It cannot be D because this line does not have a y-intercept of -3.

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

y = -2/5x - 1

It can be E because this equation matches the one we came up with.

5 0
3 years ago
Read 2 more answers
A rectangle's length and width are in a ratio of 11:3. The perimeter is 56 feet. What are the length and width?
frozen [14]

Answer:

Length=44feet

Width=12feet

Step-by-step explanation:

length:width=11:3

Perimeter=56feet

Sum of ratio=11+3

Sum of ratio=14

Length=11/14 x 56

Length=(11 x 56)/14

Length=616/14

Length=44feet

Width=3/14 x 56

Width=(3 x 56)/14

Width=168/14

Width=12feet

7 0
3 years ago
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