2 1 Find the equation of the line that passes through the point (-4,16) and is perpendicular to the line y =
[tex] \frac{2}{5}x - \frac{1}{5} [/tex]
the equation using the slope-intercept form. Write the equation using slope intercept form​

Answer:

6

Step-by-step explanation:

-6 + (12)

○ First you remove the brackets

○ Then you will get -6 + 12

○ Negative Positive (-+) equals Negative

○ You will put will subtract the bigger number by the smaller number

i.e 12-6

○ You will get your answer as 6

The number of mini bottles required is;  68 mini bottles

We are told that a mini bottle of water contains 8 ounces of water.

Now, we are told that you require 4¹/₄ = 4.25gallons of water.

Now from conversions, we know that;

1 gallon = 128 ounces

Thus; 4.25 gallons = 4.25 * 128 = 544 ounces

Since a mini bottle of water contains 8 ounces of water, then we can say that;

Number of mini bottles required is;

544/8 = 68 mini bottles

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Answer:

3000

Step-by-step explanation:

If it was 3500 then it would've been 4000. However, since 3458 is below 3500 it's 3000. Hope this helps. Good luck!

Answer:

 A.  width = x - 4.5

 B.  111 = 2(x + (x -4.5))

Step-by-step explanation:

A. The width is 4.5 meters shorter than x, so is x -4.5.

__

B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...

 111 = 2(x + (x -4.5))

The equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is; m = (55.5 - 19)/5

Distance that she wants to ride this week = 55.5 miles

Distance she has already ridden so far = 19 miles

Now, we are told that she will ride 5 more days.

If m is the average number of miles she has to ride to meet her goal, then we can say that;

5m + 19 = 55.5

Making m the subject by, we have;

m = (55.5 - 19)/5

Thus, the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is;

m = (55.5 - 19)/5

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Step-by-step explanation:

so, 80 L can get out of the tank every minute.

how long for 4800 L ?

that simply means "how many minutes for 4800 L ?"

and this we get by dividing 4800 by 80 (to see how often 80 fits into 4800) :

4800 / 80 = 60 minutes

so, it takes 60 minutes or 1 hour to discharge 4800 L.

Step-by-step explanation:

y = f(x)

this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.

so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),

y = 12 + (3/4)x

is the same as

f(x) = 12 + (3/4)x

you could also write it as

f(x) = 12 + 3x/4

don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.

Answer:

The value of 1 tenth is less than the value of 1 ten

Step-by-step explanation:

1 tenth = 0.1
1 ten = 10

0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.

Answer: 25

Step-by-step explanation:

(4+1)^3/ 2+4^2-13=

5^3/(2+16-13) =

125/(18-13)=

125/5=25

Answer:

I think the answer to this question is the last multiple choice answer

Step-by-step explanation:

Answer: Exact Form: 28/5

Step-by-step explanation:

Answer:

y = 28/5

Step-by-step explanation:

Let's solve the problem,

→ 4/5 = y/7

→ y = 7 × (4/5)

→ [ y = 28/5 ]

Hence, the value is 28/5.

An advantage of a weighted moving average (WMA) is that recent actual results can be given more importance than what occurred a while ago is a "true" statement because "Weighted moving averages could be adjusted to emphasize more recent data in forecasting."

Moving averages are popular tools for measuring momentum among active traders. The formula used to calculate the average is the primary distinction between a simple moving average, a weighted moving average, and an exponential moving average.

Some key features regarding the weighted moving average are-

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There is an upper outlier and lower outlier that is 86.875 and -26.875.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.

Descriptive statistics

data=n=14

mean= 30.29

sample standard deviation= 18.35

sample variance = 336.84

minimum= 1

maximum= 52

range=  51

1st quartile

16.25 = median

37.50 = 2nd Quartile.

3rd quartile = 44.50

4th interquartile range = 28.25

mode = 3.00

Lower limit for outlier = Q1-1.5*IQR =16.25-1.5*28.25 =-26.125

Upper limit for outlier = Q3+1.5*IQR =44.50+1.5*28.25 =86.875

All the data points inside the limits.

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Answer:

y2 = m*(x2 - x1) + y1

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

y2 - y1 = m*(x2 - x1)

y2 = m*(x2 - x1) + y1

Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.

The runner should run for roughly around 54 minutes.

To find how many minutes must the runner run:

Minutes required are:

Therefore, the runner should run for roughly around 54 minutes.

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Answer:

Step-by-step explanation:

a=number of products

product profit=49,60-7,45=42,15

115000+1200=42,15xa

127000=42,15xa

a=3013

Answer:

A blank one

Step-by-step explanation:

There's no picture

Answer:

Sussy

Step-by-step explanation:

1. There is nothing

2. Imposters are barely visible.

3. Your welcome

Four less than a number is tripled. The result is 15. Equations properly models this information  is x - 9.

When you need to multiply the supplied number by the sum of the two numbers, you apply the distributive property. Following the order of operations in such situations often entails adding the numbers first, followed by multiplying them by the specified quantity.

Based on the given condition formulates = 3 (z - 4) = 15

Applying the distributive property 3z - 12 - 15

Rearrange variables to the left side of the equation 3z - 15 + 12

Calculate the sum of difference 3z- 27

Divide both sides of the  equation by the coefficient of variable w = 27/3

Cross out the common factors : x - 9

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Lashonda biked for 50,51, and 63 miles on the first three days, to make average 54 miles per she needs to bike 52 miles on the last day.

As given,

Lashonda biked for first three days = 50, 51, 63 miles

Let x miles she bike last day

Average = 54 miles per day

Average = (50 + 51 + 63 + x) /4

⇒ 54 = (164 + x) /4

⇒ x = 216-164

⇒ x= 52 miles

Therefore, Lashonda needs to bike 52miles last day to make average 54miles per day.

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Answer:

6a²b(2b-3a³+5)

in here we need to consider about highest common factor. After that take it as common and factorise

Answer:

16

Step-by-step explanation:

Answer:

y=4x-1

Step-by-step explanation:

to find the slope you use this equation

(y2-y1) / (x2-x1)

you also need y=mx+b to write in your final equation for the slope,

m is the slope and b is the y intercept (where the point meets the y axis, horizontal line that goes like this | )

first, you got lucky this equation gave you the b value( remember, b is the y intercept) , which you can find when x is 0.

to find the slope we choose any two coordinates (x,y) from the table

i choose (0,-1) and (5,19)

and we put this in this formula

(y2-y1) /

(x2-x1)

(19+1) it’s plus because subtracting a negative - - makes it positive

so

(19+1)/

(5-0)

= 20/5 which is 4. so m( the slope) m=4

now that we have b=-1 and m=4 we can write the final answer equation

which is

y=4x-1

Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality must be true.

To solve an equation, keep in mind:

Being "x" the cost of one hot wing, and knowing that:

the equation in this case is:

First customer payment= Second customer payment

8x +4= 10x +2.80

Solving:

4 - 2.80= 10x - 8x

1.2= 2x

x= 1.2 ÷ 2

x=0.6

Finally, the cost of one hot wing is $0.6.

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Answer:

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

see explanation

Step-by-step explanation:

calculate the slope m using the slope formula and equate to the given slope

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(a)

(x₁, y₁ ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, y )

[tex]\frac{y-(-4)}{0-(-3)}[/tex] = [tex]\frac{y+4}{0+3}[/tex] = [tex]\frac{y+4}{3}[/tex] , then

[tex]\frac{y+4}{3}[/tex] = 2 ( multiply both sides by 3 )

y + 4 = 6 ( subtract 4 from both sides )

y = 2

ordered pair is (0, 2 )

(b)

(x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (x, 5 )

[tex]\frac{5-2}{x-(-2)}[/tex] = [tex]\frac{3}{x+2}[/tex] , then

[tex]\frac{3}{x+2}[/tex] = [tex]\frac{3}{7}[/tex] ( cross- multiply )

3(x + 2) = 21 ( divide both sides by 3 )

x + 2 = 7 ( subtract 2 from both sides )

x = 5

ordered pair is (5, 5 )

(c)

(x₁, y₁ ) = (x, 5 ) and (x₂, y₂ ) = (1, - 5 )

[tex]\frac{-5-5}{1-x}[/tex] = [tex]\frac{-10}{1-x}[/tex] , then

[tex]\frac{-10}{1-x}[/tex] = [tex]\frac{-5}{2}[/tex] ( cross- multiply )

- 5(1 - x) = - 20 ( divide both sides by - 5 )

1 - x = 4 ( subtract 1 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

ordered pair is (- 3, 5 )

(e)

(x₁, y₁ ) = (- 6, y ) and (x₂, y₂ ) = (8, 2 )

[tex]\frac{2-y}{8-(-6)}[/tex] = [tex]\frac{2-y}{8+6}[/tex] = [tex]\frac{2-y}{14}[/tex] , then

[tex]\frac{2-y}{14}[/tex] = - [tex]\frac{1}{7}[/tex] ( cross- multiply )

- 7(2 - y) = 14 ( divide both sides by - 7 )

2 - y = - 2 ( subtract 2 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

ordered pair is (- 6, 4 )

(35x) + (-56) this is an equivalent equation.

Answer:

7x(-4x+5)

Multiplying: -56+35x

Step-by-step explanation:

[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]

The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.

The other result, however, came from this:

[tex]-28\cdot \:2=-56\\=-56+35x[/tex]

Inform me of any concerns. Hope this helps.