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3 years ago

Area of composite shapes!!

Mathematics

1 answer:

Sidana [21]3 years ago

4 0

Answer:

Step-by-step explanation:

hope it help

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Which do lenders take into account before issuing unsecured debt

inn [45]

Its creditworthiness

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3 years ago

wind turbines generate large amounts of electricity from wind energy. the blades on a wind turbine can revolve 22 times per minu

lesya [120]

Answer:

1320 times

Step-by-step explanation:

Time = 1 h × (60 min/1 h) = 60 min

Revolutions = 60 min × (22 rev/1 min) = 1320 rev

The blades revolve 1320 times per hour.

5 0

3 years ago

EASY PLS HELP ASAP!!<br> ANY QUESTION PLSSS

Lena [83]

Rudy’s age today is 96.

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3 years ago

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $

gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

$x+y=14\\x=14-y\,\,\,\,...(i)$

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

$40x+130y=1010\,\,\,...(ii)$

Put $x=14-y$ in (ii)

$40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5$

Put $y=5$ in $x=14-y$

$x=14-5=9$

Therefore, Adrian's songs played on 9 commercials and 5 movies.

7 0

3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.)

joja [24]

Answer:

$\int_{-1}^{1}7(x^{3}-x)\:dx$

Step-by-step explanation:

1) The other curve is $y=0$ then the common points of both curves are x-intercepts, the roots of $y=7(x^{3}-x)$

$y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )$

2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:

$\int_{a}^{b}|f(x)-g(x)dx$

$\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx$

8 0

3 years ago