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3 years ago

How do I solve this finding the first four of the sequence?

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

300,350,400,450

Step-by-step explanation:

the formula for any n term is:

tn=a1+(n-1)d

t1= 300+(1-1)d=300

t2= 300+(2-1)50= 350

t3= 300+(3-1)50= 400

t4= 300+(4-1)50 = 450

and so on...

You might be interested in

) For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x = (No Response) For which values of x

grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

$f'(x)=0\: at \:x=2, and\: x=-2$

2. For which values of x is f '(x) positive?

Whenever we have

$f'(x)>0$

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

$f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)$

3. For which values of x is f '(x) negative?

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

$f'(x)$

4.What do these values mean?

$f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)$

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0

3 years ago

How do you do these kind of problems? could someone please provide me steps?

DerKrebs [107]

1/5×m+2/3-2=m-2/5
Multiply both sides by 15:
3m+10-30=15m-6
12m=14
m=14/12
m=1.16

7 0

3 years ago

Read 2 more answers

The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with standard deviation σ =0.05

Pie

Answer:

z = -0.139

The data provide evidence that this particular meets the government regulation

Step-by-step explanation:

To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:

H0: m = 0.3

H1: m > 0.3

where m is the population mean NOX emission.

Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:

$z=\frac{x-m}{s/\sqrt{n} }$

where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.

Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:

$z=\frac{0.298-0.3}{0.05/\sqrt{12} }=-0.139$

Finally, we need to find the p-value using the normal distribution table as:

p-value = P(z > -0.139 ) = 0.4443

So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.

8 0

3 years ago

Which three lengths could be the lengths of the sides of a triangle? 13 cm, 5 cm, 18 cm 21 cm, 7 cm, 7 cm 8 cm, 23 cm, 11 cm 9 c

Alexeev081 [22]

We can solve this problem using the Triangle Inequality property. The Triangle Inequality property states that the sum of two sides of a triangle will always be greater than the third. That being said, the only answer that works is the last one, which has the answer of 9 cm, 15 cm, and 22 cm.

7 0

4 years ago

What characteristics best describe the graph? Choose all that apply. *

marin [14]

Answer:

Options (1), (3) and (7)

Step-by-step explanation:

Characteristics of the given graph are as followed.

1). For every input value (x-value) there is a different output values (y-values).

So the points on the graph represent a function.

2). Coordinates of all the points are distinct and separate (not in fractions or decimals).

Function given is a discrete function.

3). For every increase in the x-values of the points there is a decrease in y-values.

Therefore, given function is a decreasing function.

Therefore, Options (1), (3) and (7) are the correct options.

6 0

4 years ago