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4 years ago

Help divide −0.75÷0.03

Mathematics

1 answer:

masya89 [10]4 years ago

3 0

Answer:

-25

Step-by-step explanation:

first finish the point if both

-75/100/3/100

-7500/100/3

-75/3

-25

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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 random sample of n 5 4 individuals is selected from a population with m 5 35, and a treatment is administered to each individu

Firdavs [7]

Answer:

5.1

Step-by-step explanation:

Given that:

sample size n = 4

the mean of the original population μ is = 35

and the mean for the sample after treatment M is = 40.1

standard deviation of the sample SS = 48

The difference between the mean for the treated sample and the mean for the original population is therefore calculated as: M - μ

= 40.1 - 35

= 5.1

The standard error of M is = $\dfrac{standard \ deviation \ of \ the \ sample}{\sqrt{sample \ size} }$

The standard error of M is = $\dfrac{SS}{\sqrt{n} }$

The standard error of M is = $\dfrac{48}{\sqrt{4} }$

The standard error of M is = $\dfrac{48}{2 }$

The standard error of M is = 24

4 0

3 years ago

Evaluate 90 divided by X to the second power + y

Arlecino [84]

Answer: =34

=3⋅3⋅3⋅3

=81

For example, 3 to the power of -4:

=3−4

=134

=13⋅3⋅3⋅3

=181

=0.012346

Step-by-step explanation: the solution is expanded when the base x and exponent n are small enough to fit on the screen. Generally, this feature is available when base x is a positive or negative single digit integer raised to the power of a positive or negative single digit integer. Also, when base x is a positive or negative two digit integer raised to the power of a positive or

negative single digit integer less than 7 and greater than -7.

hopefully this is right :/

4 0

3 years ago

What is the pattern in this sequence?

Daniel [21]

Answer:

Part A: Add

Part B: 8

Step-by-step explanation:

Each time it goes up by 8.

You can figure it out by: 9-1=8, 17-9=8.....

3 0

3 years ago

Read 2 more answers

Mrs Belen wanted to bake 10 loaves of bread but realized she needed 1.75 more of flour. If she baked 7 loaves of bread she would

Pani-rosa [81]

To answer this question, follow this step by step procedure:1. Add first the needed and the excess flour to determine to total flour, = (1.75 kg + 0.5 kg = 2.25)2. Then divide the answer by 3 since you need to have 3 more breads, 2.25 kg / 3 = 0.75 kg
So we can say that we need 0.75 kilogram of flour for each loaf of bread.

3 0

4 years ago