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Lyrx [107]
2 years ago
5

PLS HELP WILL MARK BRAINLIEST!

Mathematics
2 answers:
vlada-n [284]2 years ago
8 0

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

elena-s [515]2 years ago
7 0

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

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The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the p
NikAS [45]

Answer:  The answer is 16√2 cm.


Step-by-step explanation:  Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.

Let 'w' represents the width of the rectangle.

Then, its length will be 3w.

Also, area of the rectangle = 24 square inches.

Therefore,

3w\times w=24\\\\\Rightarrow 3w^2=24\\\\\Rightarrow w^2=8\\\\\Rightarrow w=2\sqrt 2.

So, width = 2√2 inches and length = 6√2 inches.

Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.

4 0
3 years ago
Read 2 more answers
How to solve the first problem need urgently
soldi70 [24.7K]
1000²=313²+x²
cosΘ=\frac{x}{1000}

3 0
3 years ago
Find the equation of the regression line and the value of the correlation coefficient (r).
tino4ka555 [31]

Answer:

According with the graph:

1.) The equation of the regresion line is: y=5,720.10391 x + 957.225810

2.) The values of the correlation coefficient is 0.86

Step-by-step explanation:

In the graph is shown:

1.) Line of Best Fit

y=5720.10391 x + 957.225810

2.) Correlation

.86

3 0
3 years ago
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
the distance a jet travels varies directly as the number of hours it flies. A jet traveled 2875 miles in 5 hours. What is the co
skelet666 [1.2K]

Answer:

k = 575

Step-by-step explanation:

let d be distance and h time.

Given d varies directly as h then the equation relating them is

d = kh ← k is the constant of variation

To find k use the condition d = 2875, h = 5, then

2875 = 5k ( divide both sides by 5 )

k = 575

3 0
3 years ago
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