The resultant of four forces is 1000 N in the direction 30° west of north. Three of the forces are 400 N, 60° north of east; 200 N, south; and 400 N, 530 west of south. Find the rectangular components of the fourth force. 2.7 Ans: F = 380N. F₁ = 960,3N. F₁ = 1003N. 21.6°W of N.
​

Answer:

96750

Step-by-step explanation:

s.i=p×r×t

=90000×5×15/10 all divided by 100

9000×5×15 divided by 100

=90×5×15

=6750

amount=s.i+principal

=6750+90000

=96750

Answer: Kenny made 125 * $2 = $250 from 125 gracious waves.

He made 300 * $3 = $900 from 300 vigorous waves.

So, he made a total of $250 + $900 = $1150.

After paying the doctor bill, he has $1150 - $150 = $1000 left.

Step-by-step explanation:

The amount of money that Kenny made after completing the number of gracious waves and vigorous waves would be = $1000.

The amount that Kenny charges for gracious waves= $2

The amount of money that he charges for vigorous wave = $3.

The total number of completed gracious waves = 125

The amount made for gracious waves = 2× 125 = $250

The total number of completed vigorous waves = 300

The amount made for vigorous waves = 3×300 = $900

The total amount made in both waves = 250+900= $1,150

The bill to be payed to doctor = $150

The amount left = 1,150- 150 = $ 1000

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The best way to represent histograms is by decreasing to increasing order.

The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Given the values:

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45

We have that:

(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.

The average age that a large construction company wants to know is 38.

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Answer:

Four thousand two hundred and

Step-by-step explanation:

Answer:

0.15% of 12000 is equal to 18.

Step-by-step explanation:

To calculate 0.15% of 12000, we first convert 0.15% to a decimal. To do this, we divide 0.15 by 100:

0.15 ÷ 100 = 0.0015

Next, we multiply this decimal by 12000:

0.0015 × 12000 = 18

So, 0.15% of 12000 is equal to 18.

Answer:

a.) (1,4), (-2,3), (0,4)

b.) (4,1), (3,-2), (4,0)

Step-by-step explanation:

a. When we want to find the reflection over the Y axis, that means the X coordinate signs reflect. For A, it says (-1,4). To reflect it, we reflect the X coordinate, so now it's (1,4) instead. You'll do that to the other two.

b. When rotating, you would switch the numbers of the coordinates and switch the sign of X. For the first one (-1,4), we'll switch it to (1,4). Not we'll switch the numbers around to make it (4,1). You'll do that for the other two

The standard form is y= 3x^2+114+30x.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given;

y = 3(x + 5)^2 − 11

y= 3(x^2+25+10x)-11

y= 3x^2+125+30x-11

y= 3x^2+114+30x

Therefore, the equation will be y= 3x^2+114+30x

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The steps followed by Nikki are correct. Hence, option 1 is the correct answer.

Using a ruler and compass, perform the following procedures to create a line from an exterior point that is parallel to the other line:

Given: A point P that sits outside of line segment AB and line segment AB

to create a line that runs through point P and is parallel to line AB.

Select any point X and connect it to point P on the line segment AB.

Draw an arc with X as the center and any reasonable radius, cutting the line segments PX and AB at points M and N, respectively.

Draw an arc EF with P as the center and the same radius as in the previous step, cutting the line segment PX at point Q.

Draw an arc with Q as the center and the same radius as previously, cutting the arc EF at R.

To create the line segment CD, join R and P.

The necessary parallel to the line segment AB that goes through the point P is the line segment CD.

According to the steps of construction we determine that the steps of construction of Nikki are correct.

Hence, option 1 is the correct answer.

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Answer:

The missing number is 300,000.

Step-by-step explanation:

To find the missing number, we can set up an equation based on the information given. If 80% of a number is equal to 240,000, we can write:

0.80x = 240,000

To find x, we can divide both sides of the equation by 0.80:

x = 240,000 / 0.80 = 300,000

So, the missing number is 300,000.

Answer:

Below

Step-by-step explanation:

y= mx + b     is the slope intercept form of a line  

                           m = slope     and       b = y-axis intercept

Plug in the given values

y = -4/5 x -3

Step-by-step explanation:

Good Afternoon! Your Answer would be 96!

16 x 6 = 96

How do we find this answer?

16 + 16 = 32

And 32 would be 16 twice!

32 + 32 = 64

And 64 would be 16 four times!

So now time to get the answer, 64 + 32 = 96.

Have An Amazing day.

The probability of getting a number greater than or equal to 2 is 0.8333( 3 decimal place)

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space/ total possible outcome

The total outcome on a standard six-sided die is 6

The sample space of getting a number greater or equal to 2 is 2,3,4,5,6 = 5

Therefore the probability of getting a number greater or equal to 2 is = 5/6

= 0.833 ( 3 decimal place)

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The value of the two numbers in b is 15 and 18

To get the values we would have to set up an equation system

Such that we would have:

the smaller number is given as c

Then the bigger number is given as c + 3

The equation would be

c + c + 3 = 33

then

2c = 33 - 3

2c = 30

From here we would have to divide both sides of the equation by 2

2c / 2 = 30 / 2

c = 15

33 - 15 = 18

Hence the numbers are given as 15 and 18

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I'm fifty years old the sentence is a discrete variable and not continuous variable as age is counted in concrete numbers and it does not involve complex numbers.

Discrete data is a sort of numerical information that consists of full, concrete numbers with predetermined, set values that can be counted. Complex numbers and fluctuating data values taken over a predetermined period of time are examples of continuous data.

Numerical information that is continuous refers to the unspecified number of measurements that could be made between two realistic sites.

Despite the fact that these numbers are frequently gathered via accurate measurements, they are not necessarily neat and orderly as those in discrete data. Measuring a specific issue repeatedly enables us to establish a defined range, within which we can predictably gather more data.

I'm fifty years old the sentence is a discrete variable as age is counted in concrete numbers and it does not involve complex numbers.

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what do you mean by

∠B=2x+56

∘

start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 2, x, plus, 56, degrees, end color #28ae7b

Encuentra el valor de

�

xx y luego la medida de

∠

�

∠Bstart color #1fab54, angle, B, end color #1fab54:

Angles in a triangle add to 180 degrees

make a little equation for that

58 + 42 + x = 180

simplify

100 + x = 180

x = 180 - 100

x = 80

Hope this helps,

- Jeron :- )

1. store A sells at cheaper rate.

2. Runner B tun at faster rate.

3. Submarine 2 will reach at depth of -1056 feet at faster rate.

4.  Kira collected 18.33 points in one hour.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Store A: y= 0.40 x

so, the unit rate is 0.40.

Store B:

the cots of 3 pound carrot= 20.16

and, the cost of 48 ounce carrot = 20.16

and, cost per ounce= 20.16 /48= 0.42

so, the unit rate is 0.42.

Thus, store A sells at cheaper rate.

2. The unit rate rate of runner A

= 54/4.5

= 12

and, the unit rate of runner B

= 275/20
= 13.75

Thus, Runner B tun at faster rate.

3. Submarine 1 descends at rate of 22 feet.

and Submarine 2 descends at rate of = 480/20 = 24 feet.

Thus, Submarine 2 will reach at depth of -1056 feet at faster rate.

4. Jess collected 18 points in one hour.

and, Kira collected 18.33 points in one hour.

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The following information can be extracted from the system of triangles ABC and DEF:

Case A: 3 / 5 = y / z

Case D: m ∠ C = m ∠ F

Case E: Δ ABC ~ Δ DEF

In this problem we find a representation of a system with two similar triangles, that is, two triangles with two congruent internal angles and proportional sides. Then, the following relationships are derived below:

m ∠ A = m ∠ D

m ∠ B = m ∠ E

m ∠ C = m ∠ F

AB / DE = BC / EF = AC / DF

6 / 10 = y / z = x / w

3 / 5 = y / z = x / w

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Answer: The Zeros Are(in order) -3,-2,-1,1, 1.5 ALL have a multiplicity of 1.

Step-by-step explanation: Since the 0's cross the graph and don't "bounce" on the x-axis, they're all for a multiplicity of 1.

Answer: $51,000

Step-by-step explanation:

At first, I multiplied 8,500 times 3 then the outcome I got was 25,500 so now I'm going to try multiplying 8,500 times 6 which equals 51,000 but I'm sorry if I got the answer wrong

The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = 3√(-8x - 4)

Simplify the function, then we have

f(x) = 3√(-8x - 4)

f(x) = 6√- (2x + 1)

Divide the equation by 6, then we have

g(x) = √(-2x - 1)

Replace -(2x + 1) with x, then we have

h(x) = √x

The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.

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Answer:

Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Step-by-step explanation: All possible answers for edge

Answer: Vertical Angles

Step-by-step explanation:

Took The test!

Angles BAC and EAF are vertically opposite angles .

Given,

Angles BAE and FAC are straight angles.

Here,

∠BAC + ∠FAC = 180° (Linear pair angles).

Now ,

∠BAC and ∠EFA are vertically opposite to each other .
Thus,

∠BAC = ∠EFA.

Thus these angles are vertically opposite angles and are equal .

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If the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

The height of the bars will decrease if the interval sizes in a histogram are reduced while the scale remains constant. When the intervals are compressed,

For a particular set of data, there will be more histogram bars, but fewer data points will make up each interval. Reducing the interval size will also reduce the height of the histogram's bars because the height of the bars represents the number of items in each interval.

Hence, if the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

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Part A: slope = 1

Part B: slope = 1

Part C: Slope values becomes equal.

Slope, An evaluation of a line's inclination with respect to the horizontal using numbers. The slope of any line, ray, or line segment in analytical geometry is defined as the proportion of the vertically to the horizontally distance between the two points on the line ("slope equals rise over run").

As we know,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Part A:

(x₁ , y₁) = (0, -4)

(x₂, y₂) = (-2, 2)

m = (2 - 4) / (-2 - 0)

m = -2 / -2

m = 1

Part B:

(x₁ , y₁) = (0, -4)

(x₂, y₂) = (-4, 1)

m = (-4 - 0) / ((-4 - 0)

m = -4 / -4

m = 1

Part C:

As we pick different points to calculate slope for Part A and Part B, conclude that slope values are equal. It means that lines are parallel to each other and they have different y-intercepts.

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466.66%? Theres four whole circles and one that is two thirds. Unless 466.66% is correct, can you give more info?

The angle between the 3D vectors a = (3, -1, 2) and b = (1, -1, -2) is 2.23 radians. The angle between a = (0, -1, -3) and b = (2, 3, -1) is 2.43 radians.

The angle between two vectors a and b in three-dimensional space can be found using the dot product formula:

cos(θ) = (a * b) / (||a|| * ||b||)

Where ||a|| and ||b|| represent the magnitude (length) of vectors a and b, respectively, and "*" represents the dot product of the two vectors. The dot product is given by:

a * b = a1 * b1 + a2 * b2 + a3 * b3

Where a1, a2, and a3 are the components of vector a, and b1, b2, and b3 are the components of vector b. The angle θ is then calculated using the inverse cosine function:

θ = arccos(cos(θ))

Finally, the angle θ is expressed in radians.

For the first problem, we have:

a = (3, -1, 2)

b = (1, -1, -2)

So, we have:

a * b = 3 * 1 + (-1) * (-1) + 2 * (-2) = 3 - 1 - 4 = -2

||a|| = [tex]\sqrt{(3^2 + (-1)^2 + 2^2)} = \sqrt{(14)}[/tex]

||b|| = [tex]\sqrt{(1^2 + (-1)^2 + (-2)^2) }= \sqrt{(6)}[/tex]

cos(θ) = [tex](-2) / (\sqrt{(14)} * \sqrt{(6)} ) = -\sqrt{(2)} / \sqrt{(21)[/tex]

θ = arccos[tex](-\sqrt{(2)} / \sqrt{(21)})[/tex] = 2.23 radians (rounded to two decimal places)

For the second problem, we have:

a = (0, -1, -3)

b = (2, 3, -1)

So, we have:

a * b = 0 * 2 + (-1) * 3 + (-3) * (-1) = -3

||a|| = [tex]\sqrt{(0^2 + (-1)^2 + (-3)^2)} = \sqrt{(10)}[/tex]

||b|| = [tex]\sqrt{(2^2 + 3^2 + (-1)^2)} = \sqrt{(14)}[/tex]

cos(θ) = [tex]-3 / (\sqrt{(10)} * \sqrt{(14)}) = -3 / \sqrt{(140)}[/tex]

θ = arccos[tex](-3 / \sqrt{(140)})[/tex] = 2.43 radians (rounded to two decimal places)

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