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finlep [7]
4 years ago
6

What is the slope of the line given by the equation y = -7x?

Mathematics
2 answers:
xeze [42]4 years ago
6 0
<u>→ Chapter : </u><span><u>Equation of A Straight Line </u></span><u>←</u>
<em>≡ General equation of a straight line:</em>
⇔ y = mx+c

<em>≡ Solution:</em>
⇔ To know the slope in the equation, we just need to see the variable of x
y=-7x
∴ So, the slope of this equation is \boxed{-7}
S_A_V [24]4 years ago
6 0

Answer:

-7

Step-by-step explanation:

y=mx+b and m is the slope... here the y intercept is 0

y=-7x+0

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I need help with this question
nikdorinn [45]
The area of each triangular face is
.. A = (1/2)*b*h
.. Aside = (1/2)*(6 cm)*(5 cm) = 15 cm^2

The area of the triangular base is
.. Abase = ((√3)/4)*s^2 = (√3)/4*(6 cm)^2 = 9√3 cm^2

The total surface area is the base area plus the area of the three sides.
.. Atotal = Abase + 3*Aside
.. = 9√3 cm^2 +3*15 cm^2
.. = (45 +9√3) cm^2
.. ≈ 60.6 cm^2


Actually, there's an error in the picture. The height of the side should be 4, and the length of the edge should be 5. Making that adjustment, the total area is 51.6 cm^2.

It is hard to tell what is intended. Not all answers are showing, so we can't "reverse-engineer" the problem from the answers.
7 0
4 years ago
If the government purchases multiplier is 4 and a change in government spending leads to a $500 million decrease in aggregate de
Artemon [7]

The multiplier effect refers to the theory that government spending intended to stimulate the economy causes increases in private spending that additionally stimulates the economy.In essence,the theory is that government spending gives households additional income, which leads to increased consumer spending.

5 0
1 year ago
I need to come up with a Multi Step Equation for a project in my math class. I only have 3 more days to work on it
Lyrx [107]

You do not say anything about the project.

Here is a multi-step equation for your unknown project:

3x - 5 = 40 + 2x

7 0
3 years ago
Find the area of a circle with a radius of 2cm
Zepler [3.9K]

Answer:

12.566

12.6 (simplified to the tenths)

12.57(simplified to the hundredths)

Step-by-step explanation:

The diameter of a circle is always double of the radius

π is always ≈ 3.14

π * 2^2 = π * 4  ≈ 12.566

7 0
3 years ago
Suppose that 20% of the adult women in the United States dye or highlight their hair. We would like to know the probability that
Rasek [7]

Answer:

71.08% probability that pˆ takes a value between 0.17 and 0.23.

Step-by-step explanation:

We use the binomial approxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.2, n = 200. So

\mu = E(X) = np = 200*0.2 = 40

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.2*0.8} = 5.66

In other words, find probability that pˆ takes a value between 0.17 and 0.23.

This probability is the pvalue of Z when X = 200*0.23 = 46 subtracted by the pvalue of Z when X = 200*0.17 = 34. So

X = 46

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

Z = \frac{46 - 40}{5.66}

Z = 1.06

Z = 1.06 has a pvalue of 0.8554

X = 34

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

Z = \frac{34 - 40}{5.66}

Z = -1.06

Z = -1.06 has a pvalue of 0.1446

0.8554 - 0.1446 = 0.7108

71.08% probability that pˆ takes a value between 0.17 and 0.23.

6 0
3 years ago
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