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3 years ago

Whats $2.65 round to the nearest tenth

Mathematics

1 answer:

Sveta_85 [38]3 years ago

5 0

Answer: 2.7 or in money form $2.70

Step-by-step explanation:

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Jo and David picked 92 quarts of berries at King's Orchard. If David picked 6 more quarts than Jo picked, how many quarts

marishachu [46]

Answer:

43 quarts of berries

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

5 0

3 years ago

A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 434 likely voters, 202

EleoNora [17]

Answer: 0.418 < p < 0.512

Step-by-step explanation: A 95% conifdence interval for a population proportion is given by:

$p + z\sqrt{\frac{p(1-p)}{n} }$

where:

p is the proportion

z is score in z-table

n is sample size

The proportion for people who said "yes" is

$p=\frac{202}{434}$ = 0.465

For a 95% confidence interval, z = 1.96.

Calculating

$0.465 + 1.96*\sqrt{\frac{0.465(0.535)}{434} }$

$0.465 + 1.96*\sqrt{0.00057}$

0.465 ± 1.96*0.024

0.465 ± 0.047

Interval is between:

0.465 - 0.047 = 0.418

0.465 + 0.047 = 0.512

<u>The interval with 95% of confidence is between 0.418 and 0.512.</u>

4 0

3 years ago

I need help! Find the equation of a line parallel to 3x-3y=5 that contains the point (-1,-5). Write the equation in slope Interc

Readme [11.4K]

the equation of the line is y= x-4

Step-by-step explanation:

so so the first thing that you're going to do is get y alone

-x-5=y

next you're going to find your slope which in this case is negative one.

after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.

so in this case the reciprocal is one.

next you're going to substitute in the cordinates to find the y intercept

x+b=y. (-1)+b= -5. (. b is the y intercept)

b= -4

6 0

4 years ago

Please help me!! I don't understand<br> No linksssss

AVprozaik [17]

Answer:

thanks haahhahahaha

Step-by-step explanation:

3 0

3 years ago