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3 years ago

Show all work please

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Angles D and F are supplementary, so
.. (19x -26) +(7x -2) = 180
.. 26x = 208
.. x = 208/26 = 8

∠EFG = (7x -2)° = (7*8 -2)° = 54°

Selection C is appropriate.

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Consider the sequence 100, 95, 90, 85, 80, 75 ...<br> What is the value of f(8)?

MAVERICK [17]

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

......

• f(7) = 70

• f(8) = 65

5 0

3 years ago

N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above th

tresset_1 [31]

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

$h(t) = -2t^{2} + 10t$

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

$h(0) = -2*0^{2} + 10*0 = 0$

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

8 0

4 years ago

A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms? (Note: 1,000 mg = 1 g, 1,000 g = 1 kg

notka56 [123]

You can use the specified conversion scale to convert the weight given to kilograms.

The mass of given bulb in kilogram is 0.000245 kilogram.

<h3>How to convert from one unit to another unit?</h3>

If a quantity is given in one unit and its unit of measurement has to be changed to other unit, then you will have to get to know how is first unit related to other. Based on that, you can convert the unit of measurement to desired unit of measurement.

<h3>How to convert 245 mg to kilogram?</h3>

Since 1000 mg = 1 gram, thus,

Dividing by 1000 on both sides, we get:

$\dfrac{1000}{1000} \: \rm mg = \dfrac{1}{1000} \: \rm g\\
\\
1 \: mg = 0.001 \: g\\
\\
\text{Multiplying 245 on both sides}\\\\
245 \times 1 \: mg = 245 \times 0.001 \: g = 0.245 \: g\\
245 \: mg = 0.245 \: g$

Now since 1000g = 1 kg, thus,

Dividing by 1000 on both the sides,

$\dfrac{1000}{1000} \: \rm g = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg$ $\dfrac{1000}{1000} \: \rm g = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg$

Thus, 245 mg = 0.245g = 0.000245 kg

The mass of given bulb in kilogram is 0.000245 kilogram.

Learn more about unit conversion here:

brainly.com/question/16418622

8 0

2 years ago

Why does the multiplication property of equality not allow us to divide both sides of an equation by zero?

Anna71 [15]

First of all, recall that division by zero is undefined; it's nonsensical; it's just not allowed.So zero certainly needs to be excluded when dividing.

But what about multiplying by zero?

The problem is that multiplying by zero can change the truth of an equation:

It can take a false equation to a true equation.

To see this, consider the false equation ‘

2 = 3

Multiplying both sides by zero results in the new equation

2 ⋅ 0 = 3 ⋅0 (that is, ‘0 = 0’), which is true.

6 0

3 years ago

Seriously, just say a, b, c, and d.

melamori03 [73]

the slope is 3/4.. and its not on there.

5 0

3 years ago

Read 2 more answers