All categories

2 years ago

Pleaseee help I really need it asap lol.

Mathematics

2 answers:

Anastaziya [24]2 years ago

5 0

I believe it’s 48 degrees

Correct me if I’m wrong!

Elden [556K]2 years ago

4 0

Answer:

x = 48

Step-by-step explanation:

You might be interested in

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago

Explain how you would simplify the<br> following:

Juliette [100K]

Answer:

Step-by-step explanation:

185,000 $\\\sqrt{x}$

8 0

3 years ago

Read 2 more answers

Please help ASAP this Is due tomorrow

Grace [21]

Answer:

384 inches²

Step-by-step explanation:

The surface area of a cube is found by using 6a².

6 = the number of sides in a cube

a = the given dimension (in this case, 8 inches long)

SA = (6)8²

SA = 6(64)

SA = 384

Hope this helps, sorry if it’s not what you’re looking for :)

3 0

3 years ago

What is the slope of the line?

spin [16.1K]

Answer:

-7/2

Step-by-step explanation:

The slope of a line can be defined as: $\frac{rise}{run}$ , which can be more formally calculated as: $\frac{y_2-y_1}{x_2-x_1}$ , where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)

So let's just say: $(x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)$

Plugging the values into the equation we get: $\frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}$

You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.

Notice how the "rise" is negative? That just means it went down.

4 0

1 year ago

Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in

Delicious77 [7]

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that $\mu = 25, \sigma = 4$

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{33 - 25}{4}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

6 0

2 years ago