He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground.



How much work is Thomas doing to pull the wagon?

10,000 foot-pounds
8,660 foot-pounds
7,070 foot-pounds
5,000 foot-pounds

Answer:

The percentage (score) obtained by Ria is 78%

Step-by-step explanation:

The given percentage Raj obtained in the exam = 51%

The marks Raj obtained = 459 marks

The marks Ria obtained in the same exam = 702

The percentage obtained by Ria is given as follows

Let x represent the total score of the exam, we have;

51% of x = 459

Therefore;

51/100 × x = 459

x = 459 × 100/51 = 900

The total score in the exam = 900

The percentage score obtained by Ria is therefore given as follows;

Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%

Therefore, the percentage (score) obtained by Ria = 78%.

Answer:

5 gallons

Step-by-step explanation:

Answer:

3r+2s+8t+15

Step-by-step explanation:

After simplifying 7r+10-2(2r+3s-5t)+2(4s-t)+ 5, you will have 3r+2s+8t+15.

Answer:

£16

Step-by-step explanation:

Step one:

given data

The price of a shirt is £64

When the price is reduced by 3/4, i.e 0.75

the reduced amount can be calculated as

0.75*64

=£48

Step two:

The new price or the cost of the shirt when the price is reduced is

= 64-48= £16

Answer:

a and b are relative on maxima interval x =-4,x=0

Answer:$12.05

Step-by-step explanation:

12.65*3=$37.95

$50-$37.95=$12.05

Answer:

1.5

Step-by-step explanation:

Answer:

Randomized block design

Step-by-step explanation:

From the question, we can see the following:

- There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.

- Now, we are told each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. This means that each plant in each block is assigned a treatment condition.

- The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.

Looking at all the statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks in a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.

The best describe about the design for this experiment is random block design.

A randomized block design is an experimental design where the experimental units are in groups called blocks. The treatments are randomly allocated to the experimental units inside each block.

When all treatments appear at least once in each block, we have a completely randomized block design.

There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.

Each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light.

This means that each plant in each block is assigned a treatment condition.

The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.

The statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks.

In a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.

Hence, The best describe about the design for this experiment is random block design.

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Answer:

c. the lines are perpendicular.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

son

Use the substitution method.

b-2

3-2

= 1

Answer :

1

Answer:

The GCF is a.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

ax² + ax + a

Step 2: Condense

Answer:

2/7x - 18

Step-by-step explanation:

-2/7x - 11 + 4/7x - 7

rearrange the expression so it's easier to add, optional

-2/7x + 4/7x - 11 - 7

2/7x - 18

Answer:

3/4 and 12/16

Step-by-step explanation:

[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]

So, the coordinates of B is (-8,-5).

The coordinates of B are (-8, -5).

Given that,

The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),

We have to determine,

The coordinates of B.

According to the question,

The midpoint of line AB is M. The coordinate of M is (-6,-4).

And the coordinates of A is (-4,-3)

If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :

[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

Let the midpoint of B be (x₂, y₂).

M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).

[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]

Solving the equation for the co-ordinate B.

[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]

And,

[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]

Hence, The required coordinates of B are (-8, -5).

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Answer:

I think b is not proportional

Answer:

$10 per hour

Step-by-step explanation:

As you can see, at (2, 20) the employee earns 20 dollars for 2 hours and at   (4, 40) we can see the employee earn $40 per 4 hours.  So we can find the slope of these two points to get the answer.

Slope formula y1-y2/x1-x2

so plug it in    

40-20/4-2 and we get 20/2 =10

Answer:

0.128

Step-by-step explanation:

Given that :

Probability of striking oil = p = 20% = 0.2

Striking occurs on the 3rd well drilled : x = 3

Hence ;

P(x = 3) =?

Using a geometric probability function :

p(x = x) = (1 - p)^(x - 1) * p

P(x = 3) = (1 - 0.2)^(3 - 1) * (0.2)

P(x = 3) = 0.8^2 * 0.2

P(x = 3) = 0.64 * 0.2

P(x = 3) = 0.128

Answer:

[tex]Probability = 0.108375[/tex]

Step-by-step explanation:

Given

Let the probability of false positive be represented with p

[tex]p = 0.15[/tex]

Required

Determine the probability the first occurrence of p was at the third person

We have that:

[tex]p = 0.15[/tex]

The  probability that a trustworthy person do not fail the test (q) is:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.15[/tex]

[tex]q = 0.85[/tex]

The required probability implies that:

The first person did not fail: i.e. 0.85

The second person did not fail: i.e. 0.85

The third person failed: i.e. 0.15

This is then calculated as:

[tex]Probability = 0.85 * 0.85 * 0.15[/tex]

[tex]Probability = 0.108375[/tex]

Hence, the probability that the first false positive occurred at the third person is 0.108375

Answer:

Step-by-step explanation:

n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)

Answer:

These go up by 1.

Step-by-step explanation:

10 20 30 40 50 60 70 80 90

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4, and so forth.

Answer:

A (they go up by one )

Step-by-step explanation:

10, 20 , 30 ,40,50 The tens place goes up by  1 each time

Answer:

87.5

Step-by-step explanation:

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Chicago tour schedule :

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)

Total touring time in Chicago = 4 hours 35 minutes

Dinner time is slated at 5:10 pm

Latest time to start tour :

5:10 pm - 4 hours 35 minutes = 1 :35 pm

Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

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Answer:1)Linear 2)Non linear 3)Linear 4)Linear 5)Non linear

Step-by-step explanation:

If x is alone with no degree, it’s linear.

Answer:

The values are:

a = -5/2

b = -6

c = -7

Step-by-step explanation:

Given

P = (x₁, y₁, z₁) = (1, 2, b)  

Q =  (x₂, y₂, z₂) = (c, -7, 4)  

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), so

m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the values in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

so solving 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

1+c = -6

c = -6 - 1

c = -7

solving 'a'

a = (2+(-7)) / 2

2a = 2-7

2a = -5

a = -5/2

solving b

-1 = (b+4) / 2

-2 = b+4

b+4 = -2

b = -2-4

b = -6

Thus, the values are:

a = -5/2

b = -6

c = -7

Verification:

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

put a = -5/2, b = -6, c = -7

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]

Answer:

im looking for the anwser

Step-by-step explanation:

True.

Any and all lines that are parallel share the same slope.