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san4es73 [151]
3 years ago
12

Express 0.000000298 in scientific notation

Mathematics
1 answer:
Olenka [21]3 years ago
5 0
The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
The intensity of a sound varies inversely where of its distance from the source at a distance of 1 meter the intensity of a jet
xz_007 [3.2K]

Answer:

  1/250 W/m² or 0.004 W/m² or 4 mW/m²

Step-by-step explanation:

The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...

  (1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²

This might be more conveniently written as 4 mW/m².

4 0
2 years ago
Is 10.2 greater or lesser than 10
insens350 [35]
Its is greater, your welcome xoxo savi eden
3 0
2 years ago
Read 2 more answers
Combine like terms in the expression below:<br> 9x + 4.05xy + 15y + 30y - 11x + 9.46
aev [14]

Answer: 4.05 x y  − 2 x  +  45 y  +  9.46

Step-by-step explanation:

9x + 4.05xy + 15y + 30y - 11x + 9.46

4.05xy + 9x - 11x  + 15y+ 30y+ 9.46

4.05 x y  − 2 x  +  45 y  +  9.46

6 0
2 years ago
A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0
3 years ago
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