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frosja888 [35]
3 years ago
11

Simplify the product using FOIL (2x-7)(5x+5)

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

10x^2-25x-35

Step-by-step explanation:

FOIL means first, outer, inner, and last.

The first term of each pair is 2x and 5x.

The outer term of each pair is 2x and 5.

The inner term of each pairs are -7 and 5x.

The last term of each is -7 and 5.

Now we just have to multiply the terms I pairs above:

First:   (2x)(5x)=10x^2

Outer: (2x)(5)=10x

Inner: (-7)(5x)=-35x

Last:   (-7)(5)=-35

------------------------------Add the terms:

10x^2-25x-35

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3 years ago
Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The
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Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is  p=\frac{1}{4}

\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334

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3 years ago
The number 12,300 is written ______. as a coefficient in standard form in scientific notation
dexar [7]
The number 12,300 is written 1.23 x 10⁴ as a scientific notation. It's coefficient is 1.23; base is 10⁴ in exponent form.

Scientific notation is a method developed by scientists to shorten the number that expresses a very large number. The scientific notation is based on powers of the base number 10.

Scientific notation has two numbers: coefficient and base. The coefficient must be greater than or equal to 1 and less than 10. The base is always 10 written in exponent form.

12,300 as coefficient in standard form in scientific notation.

1) put decimal after the first digit and drop the zeros. from 12,300 to 1.23 this is the coefficient.

2) to find the exponent, count the number of places from decimal to the end of the number.
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So the scientific notation is 1.23 x 10⁴

6 0
3 years ago
What is the height, x, of the equilateral triangle shown?
Mamont248 [21]

Answer:

B

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Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.

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6 0
2 years ago
Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro
nadya68 [22]

Answer:   2730 tiles (Approx)    

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 cm^2

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile =  102 × 18 = 1836 feet^2 = 1836×30.48 × 30.48 = 1705699.8144 cm^2

Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = \frac{1705699.8144}{625} = 2729.11970304

Since, we must take 2730 tiles to tile the kitchen.

3 0
3 years ago
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