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3 years ago

What is the value of the 35th term in the sequence -15, -11, -7, ...?

Mathematics

1 answer:

madam [21]3 years ago

6 0

It should be 121, or +4 or -4 from that. But I am pretty sure it is 121

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A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet o

guajiro [1.7K]

162.50-35.00=127.50
127.50/12=10.63
10.63 feet of guttering were required

7 0

3 years ago

Maria deposited $5,700 in an account that earns 8% simple interest. Maria made no withdrawals or deposits. What will be the tota

denpristay [2]

Answer:

The total amount of money in Maria's account after 6 years is $8436

Step-by-step explanation:

Given;

principal amount , P = $5,700

interest rate, r = 8 % = 0.08

time of investment, t = 6 years

The interest on the invested money after 6 years is given by;

I = Prt

I = $5,700 x 0.08 x 6

I = $2736

Total amount in Maria's account is given by;

A = P + I

A = $5,700 + $2736

A = $8436

Therefore, the total amount of money in Maria's account after 6 years is $8436

3 0

2 years ago

A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0

3 years ago

I need help with this question plzzz Geometry

KATRIN_1 [288]

Answer:

If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a hypotenuse (the diagonal, which is k in this case), and two sides, that measure 8 cm each, in this case.
Because of Pythagoras' theorem, we know that the lenght of the hypotenuse (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as $k=\sqrt{8^2+8^2} =\sqrt{64+64}=\sqrt{128}=11.31$ .
Then, k=11.31 cm.

3 0

3 years ago

Can sb help me understand this

vladimir2022 [97]

Answer:

135

Step-by-step explanation:

I solved it step by step in picture. U can have a look. ✌️

6 0

3 years ago