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3 years ago

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Hendrick makes birdhouses every weekend. it takes him 35 minutes to make a birdhouse. write and algebric expression that shows h

ow long it takes him to make a birdhouse

1 answer:

Natali5045456 [20]3 years ago

4 0

Y= 35x (x is the number of birdhouses Hendrick makes while 35 is the amount of time it takes him to make a birdhouse.)

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

3 years ago

Read 2 more answers

A function is a special type of relation where

Citrus2011 [14]

Answer: the answer would be B :)

5 0

3 years ago

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Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

<u><em>Step(i):-</em></u>

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

<u><em>Step(ii)</em></u>:-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

Find the sum of this infinite geometric series where a1=0.3 and r=0.1

ratelena [41]

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

$S=\frac{a_1}{1-r}$ where r is between -1 and 1 and $r$ is the common ratio, and $a_1$ is the first term of the series.

So let's plug in:

$S=\frac{0.3}{1-0.1}$

$S=\frac{0.3}{0.9}$

$S=\frac{3}{9}$ I multiplied bottom and top by 10.

$S=\frac{1}{3}$ I divided top and bottom by 3.

The sum is 1/3.

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3 years ago

What is it called when a columns filled with pairs of numbers that have the same ratio?

Furkat [3]

That is a ratio table.

5 0

3 years ago

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