Given the equation y = -3/4x + 2 What is the slope?

Please help me with the following questions. Thanks in advance!!

Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t) Divide by 1800

0.32778 = e^(-0.4t) Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1 Divide by 0.32778

e^(0.4t) = 3.0508 Take the natural log of both sides.

0.4t = 1.11542 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42 Subtract 6 from both sides

3^(3 - 3x) = 36 Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612

3 - 3x = 3.26186 Subtract 3 from both sides

- 3x = 0.26186 Divide by - 3

x = - 0.087287

4 0

3 years ago

Solve to find x and y in the diagram.

Kipish [7]

Considering the given information in the question, the value of x is $12^{o}$ , and that of y is $7.5^{o}$ .

A transversal is a line that cuts through two given parallel lines. Thus it intersects each parallel line at a point, forming four angles each.

From the given information in the question, it can be inferred that:

the given bottom right angle of the first intersection and the bottom right angle with the second intersection are congruent (corresponding angle property).

So that,

$(5x+4y)^{o}$ = $(12y)^{o}$

$5x^{o}$ = $12y^{o}$ - $4y^{o}$

$5x^{o}$ = $8y^{o}$ ............ 1

Also given that the top right angle at the second intersection is a right angle, then;

$12y^{o}$ + $90^{o}$ = $180^{o}$ (sum of angles on a straight line)

This implies that;

$12y^{o}$ = $180^{o}$ - $90^{o}$

$12y^{o}$ = $90^{o}$

So that,

y = $\frac{90}{12}$

y = $7.5^{o}$

Thus substituting the value of y in equation 1, we have;

$5x^{o}$ = $8y^{o}$ ........ 1

= 8(7.5)

5x = 60

x = $\frac{60}{5}$

x = $12^{o}$

Therefore, x = $12^{o}$ and y = $7.5^{o}$

For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

5 0

2 years ago

The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t

BlackZzzverrR [31]

Answer:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

$\bar X=6.6$ represent the sample mean

$s=\sqrt{0.49}= 0.7$ represent the population deviation

$n=270$ sample size

$\mu_o =6.5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:

Null hypothesis: $\mu= 6.5$

Alternative hypothesis: $\mu \neq 6.5$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0

4 years ago

A cube of sugar has a mass of 12 grams and a volume of 8 cubic centimeters (cm^3). What is its density?

Angelina_Jolie [31]

The correct answer is c.
Density is mass divided by grams.
It’s not d because d is missing the units
12/8=1.5G/cm^3

6 0

3 years ago

Read 2 more answers

2). Jacob is buying ice cream. How many combinations are there?

jeka94

The answer is 16 different combinations. All you do is multiply all the numbers of different results.

Hope this helps!! :)

8 0

3 years ago