The first term of an arithmetic sequence is 4. The common difference is 8. What is the 25th term of sequence

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

Step-by-step explanation:

Answer:

8.75

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

h=-7

Step-by-step explanation:

-4(-6h - 7) = 9h + 10h - 7

24h+28=19h-7

Both side -28

24h+28-28=19h-7-29

24h=19h-35

Both side -19h

24h-19h=19h-19h-35

5h=-35

h=-7

Answer:

h = -7

Step-by-step explanation:

-4(-6h-7)= 9h+ 10h-7

24h+ 28=19h-7

-19. -28. -19 -28

5h -35

h= -7

Answer:

We can not see the graph, but that does not matter.

For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.

First, for the domain, we start assuming that the domain is the set of all real numbers.

Then we look at our function, there is a point that causes a problem?

(a problem can be a zero in a denominator, for example)

Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.

For the range we first need to find the minimum (or maximum value) of f(x).

Here we know that the vertex is (1, - 3)

If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3

And the arms go upwards infinitely, so there is no upper limit.

Then the range is the set of all numbers such that:

-3 ≤ y

Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3

And with similar thinking than in the above case, we can find that the range is:

R:  y ≤ -3.

Answer:

y= 1.2x+1

Step-by-step explanation:

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

Answer:

The desired z-score is 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n(12,2.5)

This means that [tex]\mu = 12, \sigma = 2.5[/tex]

z score when x =17

This is Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 12}{2.5}[/tex]

[tex]Z = 2[/tex]

The desired z-score is 2.

Answer:

33.3333%

Step-by-step explanation:

each side would be 50% and if one side is split between three it would equal if it was 16.6667 each

since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%

Answer:

648cm³

Step-by-step explanation:

The container is a cuboid thus:

volume of water is:

v=l×w×h

=10×24×7

=1680cm³

volume of water+stone=10×24×(7+2.7)

=10×24×9.7

=2328cm³

Thus volume of stone equals

2328-1680.

=648cm³

Answer:

482 mangoes.

Step-by-step explanation:

multiply 64 x 19 which equals to 1216

subtract 320 from 1216 getting 896

Lastly, subtract 414 from 896 getting you answer of 482 mangoes.

Please tell me if you're still having trouble,I would be happy to help :) good luck!

Answer:

f = -15

Step-by-step explanation:

3(f/3) equals f

3(-5) equals -15

The final equation becomes: f = -15

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

Answer:

the required probability is 0.0357

Step-by-step explanation:

Given the data in the question;

X-Exp( λ = 40/60 = 0.6667

Pdf: f( x ) = λe^(-λx), 0 < x

so

Cdf: P( X < x ) = 1 - e^(-λe)

( X ≤ x ) = 1 - e^(-λe), for x > 0 ⇒ p( X > x ) = e^(-λe)

now to wait at least 5 minutes before seen another

p(X  > 5 ) = e^(-λe)

we substitute

p(X  > 5 ) = e^(-0.6667 × 5)

p(X  > 5 ) = e^(-3.3335)

p(X  > 5 ) = 0.035668 ≈ 0.0357

Therefore,  the required probability is 0.0357

Answer:

a = -3

Step-by-step explanation:

-3 + (14 * -3) + 45 = 0

-3 + -42 + 45 = 0

-3 + 3 = 0

So, the answer is -3

Hope this helps! :)

Answer:

Alternate Exterior

Step-by-step explanation:

This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.  

Answer:

The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Step-by-step explanation:

Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:

7 x 14 = 98

1/260 = 0.003

98 = 100

0.003 = X

0.003 x 100/98 = X

0.0039 = X

100 - 0.0039 = 99.996

Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Answer:

Step-by-step explanation:

Integer roots:

a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z

a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z

Derivative:

d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7

Indefinite integral:

integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant

Related Queries:

Answer:

[tex]y' = 5x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Required

The inverse relation

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Rewrite as:

[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]

Swap x and y

[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]

Multiply through  by 5

[tex]5x = y - 4[/tex]

[tex]y = 5x +4[/tex]

Rewrite the new function as:

[tex]y' = 5x + 4[/tex]

Answer:

[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]

Answer:

22 units

Step-by-step explanation:

Graphed to solve.

Width:

The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.

Length:

The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.

14 + 8 = 22

Answer:

360

Step-by-step explanation:

length times width of the base then multiply by the height of the prism.

(4)(9)10

Answer:

x=12

Step-by-step explanation:

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

Answer:

it would be D

So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.

If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost

Think about it as breaking even.  You aren't actually gaining anything if you are gaining back the exact same amount you lost.

Answer:

what is 50% of 35?

Answer is 17.5.

Step-by-step explanation: