What is 50% of 18.3 plus 18.3% of 50?

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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Answer:

  f(–6) = 10

Step-by-step explanation:

Each ordered pair represents the pair (x, f(x)).

The domain (set of possible x-values) is the list of first numbers in the pairs:

  {8, 0, 1, 2, -6}

Any number not on this list will not appear as x in f(x). This eliminates f(-3) and f(3).

The pair for f(8) is (8, -3), so f(8) = -3, not 0.

The pair for f(-6) is (-6, 10), so f(-6) = 10, as shown in the last answer choice.

Answer:

D           f(–6) = 10

Step-by-step explanation:

I took the test and wanted to help people who are struggling.

(–6, 10)} matches f(–6) = 10 therefor it is correct

Using the segment addition postulate, it is found that:

1. Point B is between the other two.

2. The measures are: RS = 5, RT = 10, PR = 10, PQ = 6.

3. The value of x is of x = 9.5.

4. The value of y is of y = ± 5.

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

In item 1, we have that the largest segment is of AC, hence it represents the line, while point B splits the segment into two parts, that is, point B is between the other two.

In item 2, we have that:

For item 3, applying the Postulate, we have that:

AB + BC + CD = AD

4 + 4 + 2x - 6 = 21

2x = 19

x = 9.5.

For item 4, due to the midpoint, we have that:

LM = MN

Hence:

y² + 4 = 29

y² = 25

y = ± sqrt(25)

y = ± 5.

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Answer:

see below

Step-by-step explanation:

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

Answer:

Step-by-step explanation:

The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.

A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.

Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.

The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.

For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.

Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.

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The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

The answer would be 23.5 gallons of gas.

Step-by-step explanation:

You take away 14.4 gallons from the max capacity (19.1). Which gets you 4.7, the you take that away from 12.8 gallons. Which gets you 8.1 gallons. Then you take away 3.7 from 19.1 (15.4). Then add 8.1 and 15.4(23.5) So 23.5 is how many gallons of gas was used.

Hope this helps!

We want to see how much gas did Simpsons use on the trip.

The total amount of gas used in this trip is 23.5 gallons of gas.

We know that:

The maximum capacity of the tank is 19.1 gal.

The trip starts with 12.8 gal on the tank.

After two hours, he fills the tank to capacity with 14.4 gal.

Then at this moment, he had:

19.1 gal - 14.4gal = 4.7 gal.

Knowing that he started with 12.8 gal, this means that at this point the total amount of gas used is:

12.8 gal - 4.7 gal = 8.1 gal.

Ok, now the car has 19.1 gal of gas. We know that at the end of the trip, the car has 3.7 gallons of gas, then the amount consumed this time is:

19.1 gal - 3.7gal = 15.4 gal

The total amount consumed is:

8.1gal + 15.4 gal = 23.5 gal

So we can conclude that the total amount of gas used in this trip is 23.5 gallons of gas.

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Step-by-step explanation:

CP=500

SP=550

Profit and profit%

We know that

\(\boxed{\sf Profit=SP-CP}\)

\(\\ \tt{:}\leadsto Profit=550-500\)

\(\\ \tt{:}\leadsto Profit=Rs.50\)

\(\boxed{\sf Profit\%=\dfrac{Profit}{CP}\times 100}\)

\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{500}\times{100}\)

\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{5}\)

\(\\ \tt{:}\leadsto Profit\%=10\%\)

\(\sf Key\:notes\begin{cases}\sf\mapsto CP=cost\: price \\ \sf \mapsto SP=Sold\:price\end{cases}\)

Answer:

D, 9^4 * 8^4

Step-by-step explanation:

The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.

I confirmed D is right on a calculator also.

Answer:

D

Step-by-step explanation:

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

At x=5 both functions have the same value: 7

Step-by-step explanation:

Table:

f(1) = 15; f(2) = 16 ; f(3) = 15 ;  f(4) = 12;  f(5) = 7 ; f(6) = 0

g(1) = 3; g(2) = 4; g(3) = 5; g(4) = 6 ; g(5) = 7; g(6) = 8

Answer:

C

Step-by-step explanation:

Evaluate.

Exact Form:

1 /64

Decimal Form:

0.015625

Answer:

56

Step-by-step explanation:

Let the required common multiplier of the given ratios be x.

Therefore, the required numbers are 5x and 7x.

According to the given information:

5x + 7x = 96

12x = 96

x = 96/12

x = 8

7x = 7*8 = 56

Thus, the largest number is 56.

Answer:   Since 6 is six units away towards right from 0, the absolute value of 6 is just 6.  HOPE THIS HELPS!!!!   :)

Answer:

6

Step-by-step explanation:

The absolute value of 6 is just 6 because the absolute value of a number is just the positive version of it even if it is already a positive.

The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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The road was 9.62 miles long after rebuilding.

The road was initially 3.7 miles long

After a rebuild it was 2.6 miles as long

The new length can be calculated by multiplying the initial length which is  3.7 by 2.6

= 3.7 × 2.6

= 9.62

Hence, after the rebuild the road was  9.62 miles long

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We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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Answer:

(a1/2) * 5 =b

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

y intercept means x=0

Y=4

Just kidding.

now help me for 100 points.

The clays approximately takes 36 scoops to fill the entire cylinder with oatmeal.

Tthe cylinder's volume in order to determine how much muesli would fit inside.

The formula for a cylinder's volume, which is:

V = π h

Where,

V is the volume of the cylinder,

π is a constant (roughly equal to 3.14),

r is the radius of the cylinder and

h is the height of the cylinder.

Clays' cone scoop in order to make an educated guess as to its actual measurements.

Assume the cone scoop is a right circular cone as well.

The cone scoop's breadth is 5 units.

Half of this, or 2.5 units, will make up the cylinder's radius.

Therefore, we can now enter the cylinder's height and radius numbers into the formula to obtain:

V = π(2.5)(19)

V = 371.96  

Therefore, the cylinder's volume is roughly 371.96 cubic units.

It will take a lot of muesli to fill the cylinder completely.

Finding the volume of the cone scoop that I, Clay, will use to fill the container will help us do this.

Once more, we may apply the formula for a cone's volume, which is:

V = (1/3)π h

Where,

V is the volume of the cone,

π is a constant,

r is the radius of the cone and

h is the height of the cone.

V = (1/3)π (5)

V = 10.42  

Therefore, the cone scoop has a volume of roughly 10.42 cubic units.

Simply divide the volume of the cylinder by the capacity of the cone scoop to determine the number of scoops necessary to completely fill it:

371.96 / 10.42 ≈ 35.69

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Answer:

3 ≤ y < 12

Step-by-step explanation:

the range is the values that y can have.

the values of y extend from the vertex at y = 3 to the open circle at 12, meaning y cannot be equal to 12

range is 3 ≤ y < 12

Range of y will be in interval :3 ≤ y < 12

Given,

Graph of function.

Range is the values that y can have.

The values of y extend from the vertex at y = 3 to the open circle at 12 .

Open circle suggests that 12 will not be included in the interval of range .

Thus,

Range is 3 ≤ y < 12

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\(y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)\)

Answer:

Pythagorean Theorum

Step-by-step explanation:

a^2*b^2= c^2

Answer:

ill help 3

Step-by-step explanation:

The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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