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Otrada [13]
2 years ago
14

What is the 78th term of the arithmetic sequence -4, -2, 0,

Mathematics
1 answer:
konstantin123 [22]2 years ago
7 0

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

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Find the length of the missing side. Leave your answer in simplest radical form.
lana66690 [7]

Answer:

\sqrt{69}

Step-by-step explanation:

from the pythagorean theorem:

a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}

7 0
2 years ago
You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be modeled with the functio
Troyanec [42]
<span>y= -0.000475x^2 + 0.851x

How high above is the river bridge (the top of the arch)?

You have to find the vertex of of the parabole: the y-coordinate is the highest point.

Remember that the x-coordinate of the vertex of a parabole is at - b / 2a.

That is  x = - 0.851 / [ 2(-0.000475) = 895.79

The corresponden y is y = </span><span>-0.000475(895.79)^2 + 0.851(895.79) = 381.16 feet above the river.

How long is section of bridge above the arch?

The section of the brige is equal to the difference of the two roots

Roots: </span><span>y= -0.000475x^2 + 0.851x = 0

=> x( - 0.000475x + 0.851) = 0

=> x = 0 and x = 0.851 / 0.000475 = 1791.58

Then the section is 1791.58 feet long.

Therefore, the answer is the option </span><span>D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft </span>
5 0
3 years ago
Help me pls I will make you as brain
Mrrafil [7]

Answer:

b

Step-by-step explanation:

:0

7 0
3 years ago
It says factor -11j-33k
lozanna [386]

Answer:

-11(j+3k)

Step-by-step explanation:

-11j-33k

We can factor out a negative 11 from each term

-11j = -11 *j

-33k = -11 *3k

-11j -33k = -11(j+3k)

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME i will be marking brainliest if correct
Rasek [7]

Answer: 765.85

Step-by-step explanation:

70% of 425 is 297.5

297.5 + 425 = 722.5

6% of 722.5 is 43.35

thus it is $765.85

If its simplified it would either be $765 or $766 depending if you want to round the decimal to the closest ones, or if you don't need the decimal.

7 0
2 years ago
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