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2 years ago

Write the expanded form of 4(1/4a+b-6)

Mathematics

2 answers:

nikitadnepr [17]2 years ago

8 0

Answer: The expanded form is 1/a+4b-24=0

Step-by-step explanation:

Given the expression

4(1/4a+b-6)

To expand this we have to first of all open up the bracket and perform the required operation

Step one:

Opening bracket

To open the bracket we have to multiply all the terms in the bracket by 4 I.e

4(1/4a+b-6)

=4/4a+4b-24

=1/a+4b-24

1/a+4b-24=0

vodomira [7]2 years ago

4 0

Answer: a + 4b -24

Step-by-step explanation:

4 x 1/4a = 1a

4 x b = 4b

4 x -6 = -24

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Michael threw for 1,654 yards in his first five games. At this rate, how many yards will he have thrown for in fifteen games? ✗

vodka [1.7K]

Answer:

4,962 yards.

Step-by-step explanation:

We are given that,

For the first 5 games, Michael threw 1,654 yards.

Since, we see that, the relationship between the yards and the games are directly proportional.

Then for 15 games,

Michael will have thrown for $\frac{1654}{5}\times 3$ yards i.e. 1654 × 3 = 4,962 yards

Hence, for 15 games, Michael have thrown for 4,962 yards

7 0

2 years ago

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Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

8 0

2 years ago

In circle O, RT and SU are diameters. If m = m, what is m? 47° 52° 64° 87°

vlada-n [284]

From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.

13x = 15x - 8
15x - 13x = 8
2x = 8
x = 8/2 = 4

Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.

RT is a diameter, which means that mRT = 180

mRV + mVU + 52 = 180

mRV + mVU = 180 - 52 = 128

Now, given that mRV = mVU,

Thus, 2mVU = 128

Therefore, mVU = 128 / 2 = 64°

8 0

2 years ago

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(1 point) If f(t) is continuous for t≥0, the {\it Laplace transform} of f is the function F defined by F(s)=∫[infinity]0f(t)e−st

QveST [7]

Answer:

The Laplace transform of f(t) = 1 is given by

F(s) = (1/s) for all s>0

Step-by-step explanation:

Laplace transform of a function f(t) is given as

F(s) = ∫∞₀ f(t) e⁻ˢᵗ dt

Find the Laplace transform for when f(t) = 1

F(s) = ∫∞₀ 1.e⁻ˢᵗ dt

F(s) = ∫∞₀ e⁻ˢᵗ dt = (1/s) [-e⁻ˢᵗ]∞₀

= -(1/s) [1/eˢᵗ]∞₀

Note that e^(∞) = ∞

F(s) = -(1/s) [(1/∞) - (1/e⁰)]

Note that (1/∞) = 0

F(s) = -(1/s) [0 - 1] = -(1/s) (-1) = (1/s)

Hope this Helps!!!

8 0

2 years ago

Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect? Jillian is incorrect because

8_murik_8 [283]

Answer:

Jillian is incorrect because square roots of perfect squares are rational.

Step-by-step explanation:

√25 = √(5²) = 5 - rational

25 is perfect square.

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2 years ago

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