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3 years ago

This graph represents a linear relationship between x and y.

Mathematics

2 answers:

velikii [3]3 years ago

5 0

The answer is the first choice! y=2x... to get the slope... its rise/run:)

MissTica3 years ago

3 0

Y=2x, rise/run. start from 0,0, go up the y axis until you see that the line hits a solid point which is 1,2.

You might be interested in

14k -14m - 23k + 59m

hoa [83]

-9k + 45m

you can reorganize the problem: 14k - 23k - 14m + 59m

from here, you can just do the somple math: -9k + 45m

May I have brainliest please? :)

5 0

3 years ago

A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p

irinina [24]

Answer: The equation is f(x) = $0.95^{x}$ ;

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = $0.95^{x}$

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = $0.95^{x}$

0.6 = $0.95^{x}$

log 0.6 = log $0.95^{x}$

x. log (0.95) = log (0.6)

x = $\frac{log 0.6}{log 0.95}$

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0

3 years ago

Read 2 more answers

The area of a rectangular parking lot is 7081 m²

Lubov Fominskaja [6]

Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of square = l²
Area of rectangle = l × b

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

4 0

3 years ago

Help help help help help

Morgarella [4.7K]

Answer:

x2+y2−12x+4y−60=0

The center of the circle is point: C=(6,−2).

The radius of the circle is r=10.

3 0

4 years ago

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value = $=0.0011541$

6 0

3 years ago