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ikadub [295]
3 years ago
9

Is this equation true, false, or open 4y+8=6y+3

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0
True. If you solve for y you will get a numerical answer.

Subtract 4y on both sides:

8=2y+3

Subtract 3 on both sides:

5=2y

Divide by 2 on both sides:

y=5/2

If you want the answer in decimal form, y=2.5
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Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.
zloy xaker [14]
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4

<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse

sin(x) = 4/5 </span>
6 0
3 years ago
Find the median, Q1, Q3, interquartile range (IQR), and list any outliers. 2) 74, 63, 69, 62, 33, 79, 70, 60, 107, 119
e-lub [12.9K]

Answer:

Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:

33  60  62  63  69

Q_1 =62

We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:

70  74  79 107 119

Q_3 =79

And finally the median can be calculated with the average of the two moddlie values and we got:

Median= \frac{69+70}{2} =69.5

And the IQr would be:

IQR = 79-62= 17

Step-by-step explanation:

Assuming that 2 is not part of the data we have:

74, 63, 69, 62, 33, 79, 70, 60, 107, 119

We can sort the values on increasing order and we got:

33  60  62  63  69  70  74  79 107 119

Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:

33  60  62  63  69

Q_1 =62

We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:

70  74  79 107 119

Q_3 =79

And finally the median can be calculated with the average of the two moddlie values and we got:

Median= \frac{69+70}{2} =69.5

And the IQr would be:

IQR = 79-62= 17

6 0
3 years ago
Which inequality models this problem?
svp [43]
The answer is A.)    9c>75+0.5c

The expenses for this equation are 75 and 0.5, so they have to be combined. And the amount she charges is on the other end.

And also the profit needs to be greater than the expense to that's why its 9c is GREATER than 75+0.5c.
3 0
3 years ago
If f(x)= x^2+x and h(x)=5x-2 find f(f(2))
alexandr1967 [171]
<h3>Answer: 2f^2 </h3>

Step-by-step explanation:

Remove the parentheses: = ff x 2

Apply exponent rule: f^1+^1x2

Add the numbers 1+1=2 = 2f^2

I hope this is right.

7 0
3 years ago
PLEASE due in 30 minutes! This is my third time asking for help!!!
serg [7]
Answer:

g(x)=3^-2x
g(x)=9^-x
g(x)=(1/9)^x

Explanation:

Hope this helps!
6 0
3 years ago
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