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Eduardwww [97]
3 years ago
14

Write a sequence that has four arithmetic means between 2 and 17.

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

a

0

=

44

 

XXX

a

1

=

?

XXX

a

2

=

?

XXX

a

3

=

?

XXX

a

4

=

92

Step-by-step explanation:

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm
yulyashka [42]

Answer:

\frac{ds}{dt} = 39.586 km/h

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

s^2 = 2^2 +p^2

differentiate wrt t

we get

\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)

2s \frac{ds}{dt}  =2p \frac{dp}{dt}

\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}

\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}

putting p = 3.7 km

\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45

\frac{ds}{dt} = 39.586 km/h

3 0
3 years ago
A.X'3+3x2 -10x = 24<br> x + 4
Nadya [2.5K]

Answer:

teach me plz this question

5 0
3 years ago
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o
spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = \dfrac{2}{3}

Fraction who dislike lime beans and brussles sprouts both = \dfrac{2}{3}\times \dfrac{3}{5}

Fraction who dislikes lime beans but not brussles is given by

\dfrac{2}{3}(1-\dfrac{3}{5})\\\\=\dfrac{2}{3}\times \dfrac{2}{5}\\\\=\dfrac{4}{15}

So, Number of students who like brussels sprouts but dislike lima beans is given by

\dfrac{4}{15}\times 120\\\\=32

Hence, there are 32 students who like brussels sprouts but dislike beans.

7 0
3 years ago
Solve this for Brainliest!<br><br>See the attachment [Level - GCSE]
madreJ [45]

Answer:

x = 3 + 4\sqrt{3}

Step-by-step explanation:

OPQ is a right angle triangle.

<u>Using Pythagoras</u>

x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0

<u>Using quadratic formula</u>

<u />x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}

x = 3 + 4\sqrt{3} = 9.928(4s.f.)

             OR

x = 3 - 4\sqrt{3} = -3.928(4s.f.) (Length can't be negative)

∴ x = 3 + 4\sqrt{3}

3 0
2 years ago
Read 2 more answers
A rectangular garden has a perimeter of 36 yards and a width of 8 yards.
xeze [42]

Answer:

80 square yards

Step-by-step explanation:

We know we have a width of 8 yards and a perimeter of 36.

how I figured it out was:

36=(8*2) * (x*2)

8*2=16

36-16=10

So now we know the length and width.

area of a rectangle is lw (length * width)

10*8=80.

8 0
3 years ago
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