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Lilit [14]
3 years ago
11

Can you help me find the slope! (30 points)

Mathematics
2 answers:
slavikrds [6]3 years ago
8 0
Slope formula = y2 - y1 / x2 - x1

-1 - 0.5 = -1.5
-5 - 2.5 = -7.5
-1.5/-7.5 = .2

.2 simplified is 1/5

elena-s [515]3 years ago
5 0

Answer:

1/5  

Step-by-step explanation:

change of y over change of x will get you 1.5/7.5 which is 0.2 or 1/5


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The Federal Reserve sets an minimum rate to for lending to other banks.
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2|4x-1|=38 I need to solve this
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First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.

5 0
3 years ago
"A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the vol
Darya [45]

Answer:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}      

Step-by-step explanation:

We are given the following in the question:

Volume of cake = 351 cubic inches

Let x inches be the width of cake.

Width of cake, w =

x\text{ inches}

Then, length of cake,l =

(x + 4)\text{ inches}

Height of cake,h =

\dfrac{x}{3}\text{ inches}

Volume of cake = Volume of cuboid

V = lwh

Putting values, we get:

351 = x(x+4)(\dfrac{x}{3})\\\\1053 = x^3 + 4x\\x^3+4x^2-1053= 0\\\\\text{For x = 9}\\(9)^3+4(9)^2-1053= 0

Thus, dimensions of cake are:

w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}

3 0
3 years ago
Identify the triangle PQR as isosceles​ (two sides of equal​ length), equilateral​ (three sides of equal​ length), or a scalene
Ipatiy [6.2K]

Answer:

Isosceles

Step-by-step explanation:

In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).

Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.

The distance formula is the following:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

so now we can find the desired distances, let's start with the distance between P and Q:

|PQ|=\sqrt{(-4-0)^{2}+(9-8)^{2}}

which yields:

|PQ|=\sqrt{17}

next, let's find the distance between P and R:

|PR|=\sqrt{(-4-(-3))^{2}+(9-5)^{2}}

which yields:

|PR|=\sqrt{17}

and finally the distance between Q and R:

|QR|=\sqrt{(0-(-3))^{2}+(8-5)^{2}}

which yields:

|QR|=3\sqrt{2}

As you  may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.

6 0
3 years ago
Determine whether the series is convergent or divergent.
elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

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Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0
3 years ago
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