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3 years ago

-3(5+2y) what is the answer

Mathematics

2 answers:

alexandr402 [8]3 years ago

8 0

Answer:−

-15 − 6 y

Step-by-step explanation:

oksano4ka [1.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

-15+-6y

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the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.

Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671 = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d = 135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0

2 years ago

Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = $\frac{80000}{\pi(64)^{2}}=6.2169899$

∴ The height of the water = 6.2 in. to the nearest tenth

5 0

3 years ago

Log(x)²=(logx)², find the value of x

Gnesinka [82]

Answer:

x = 7.39

Step-by-step explanation:

log(x)²=(logx)², find the value of x

log x² = log x * log x

2log x = log x * log x

2 = log x

Take the exponent pf both sides

e² = e^logx

e² = x

x = e²

x = 7.39

6 0

2 years ago

In triangle ABC, AC =24, the measure of angle A = 30 degree , and the measure of angle B = 45 degree . Find the area of this tri

andriy [413]

Answer:

142.932

Step-by-step explanation:

given that in triangle ABC, AC =24

Angle A = 30 and Angle B =45

If we draw altitude from C, we get

h = 24sin 30 = 12

Since BC = h (45, 45,90 triangle)

BC=12

By sine formula for triangle

$\frac{12}{sin30} =\frac{AB}{sin(180-45-30)} \\AB = 24 sin 105 = 23.1822$

Area of triangle

= $1/2 (23.1822)(12)\\= 142.932$

6 0

3 years ago

Helicopters can land on circular pads. The area of a landing pad is 1,962.5 square feet. What is the radius of the pad? Use 3.14

notsponge [240]

Answer:

25 ft

Step-by-step explanation:

The area of this landing pad is 1,962.5 ft², which equals πr².

We solve this equation for r²:

1962.5 ft²

r² = ----------------- = 625 ft²

3.14

Taking the square root of both sides, we get:

r = √(625 ft²) = 25 ft

The radius is 25 ft.

5 0

3 years ago

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-3(5+2y) what is the answer​

-3(5+2y) what is the answer