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2 years ago

Please answer asap!!! i need help w these

Mathematics

1 answer:

Paladinen [302]2 years ago

5 0

The common difference on the sequence is -3 and the number of books will be 21.

<h3>How to illustrate the sequence?</h3>

The formula that can be used to calculate the number of books will be:

= a + (n - 1)d

= 57 + (13 - 1)-

= 57 + (12 × -3)

= 57 - 36

= 21

Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.

Learn more about sequence on:

brainly.com/question/1275192

#SPJ1

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Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is

LekaFEV [45]

The rate in m³/m² is 40m³/m².

1 m³ is literally a cube with sides that are 1 m in length. 1 m = 100 cm, so each side of this cube is 100cm in length. Finding the volume means multiplying length by width by height:
100(100)(100)=1,000,000 cm³ in 1m³.

We know that we have 25,000cm³ of mulch; we divide to find how many cubic meters this is:
1,000,000/25,000 = 40 m³.

This makes the rate 40m³/m².

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3 years ago

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In a public show 75 % of seats were filled if there were 600 seats in the hall, how many seats were vacant ?

harina [27]

600x0.25 = 150 seats left vacant.

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3 years ago

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Which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0

scZoUnD [109]

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * $\sqrt{3 *3*2c}$ + 7 * $\sqrt{3 *3*2c}$

5 * 3 * $\sqrt{2c}$ + 7 * 3 * $\sqrt{2c}$

15 * $\sqrt{2c}$ + 21 * $\sqrt{2c}$

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Option C is correct

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3 years ago

15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm

ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.

#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

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