To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.
The work done on moving the object is 27ft*lbs
Work done in moving the object from point A to point BTo find the work done on this object, let's find the net force on the object.
Data;
force = 4lbdirection = 4, -2displacement = 7ftdirection = (0, 4) to (5,1)The unit vector of the force is
[tex]\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}[/tex]
[tex]\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }[/tex]
The net force acting on the object is
[tex]F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )[/tex]
The displacement on the object is 7ft through (0,4) to (5, -1)
The unit vector on displacement is
[tex]\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}[/tex]
[tex]\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }[/tex]
The net displacement will be
[tex]7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}[/tex]
The work done will be F.d
[tex]w = f. d \\[/tex]
[tex]w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs[/tex]
The work done on moving the object is 27ft*lbs
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Answer: the answer is B 27ft
Step-by-step explanation: its cam btw
Simplify: x+2/x+3 - x/x-1
Answer:
[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]
is the answer
Find the solution for x2+4x-9=c+1
Answer: c= [tex]x^{2}[/tex] +4x-10
Step-by-step explanation:
Step 1: Flip the equation.
C+1= [tex]x^{2}[/tex]+4x-9
Step 2: Add -1 to both sides.
c+1+-1=[tex]x^{2}[/tex]+4x-9+-1
c=[tex]x^{2}[/tex]+4x-10
HURRY PLS
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:
What is Scale Factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.
As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.
If the scale factor is between 0 and 1 the image is a reduction.
Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.
Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
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PLEASE HELP!! 35 POINTS!!!
ignore my writing if it’s wrong
Answer: sin(x)=5/11
Step-by-step explanation:
For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11
10810 5 - 2 + log10 (2x + 10) = log10 (x-4)
Answer:
x=-108117
Step-by-step explanation:
108105-2+1(2x+10)=1(x-4)
108113+2x=x-4
2x-x=-4-108113
x=-108117
In triangle ABC, mZA = 47° and mZB= 70°
B
70
47
A
С
What is the measure of angle C?
Enter your answer as the correct value. like this: 42
PLEASE HELP IM SO STUCK ON THIS!!!!!
Based on the number of ways to answer the multiple choice questions and the number of ways to answer true or false, the number of ways to answer the test is 8,192 ways.
How many ways can the test be answered?This can be found as:
= Total number of ways to answer multiple choice questions + Total ways to answer true or false questions
Solving gives:
= (4 x 4 x 4) x (2 x2 x2 x 2 x 2 x 2 x 2)
= 64 x 128
= 8,192 ways
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Points A, B, and Care located on a circle, and chords exist between all three points. If the measure of ZBAC is 88°, what is the measure of BC?
OA. 88°
OB. 92°
O C. 176°
OD. 184°
Answer:
92
Step-by-step explanation:its right
A line intersects the points (3,11) and (-9, -13). What is the slope of the line In simplest form?
Answer:
m = 2
Step-by-step explanation:
Write the slope formula
Substitute: m = - 13 - 11/ - 9 - 3
Calculate the sum or difference: m = -24 / - 9 - 3
Calculate the sum or difference: m = -24 /-12
Reduce the fraction: m = 2
Answer: m = 2
Answer: m = 2
Step-by-step explanation:
Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]
plug in values
[tex]\frac{-13-11}{-9-3}[/tex]
simplify
[tex]\frac{-24}{-12}[/tex]=2
⇒M = 2
PLS HALP!!
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
In the end, Fatima only has 0.395 kg of roses, because she used up a total of 0.115 kg of rose petals.
How to know how many rose petals Fatima has at the end?To calculate the amount of rose petals that Fatima has at the end, we must perform the following mathematical operations:
Subtract 0.02kg to 0.454kg
0.454kg - 0.02kg = 0.434kgAdd 0.056 kg to 0.434 kg
0.056kg + 0.434kg = 0.49kgSubtract 0.095kg from 0.49kg
0.49kg - 0.095kg = 0.395kgBased on the above, Fatima is wrong because she thinks she should have 0.413 kg of rose petals, but she has 0.395 kg.
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Tony orders 3 copies of a book online. He pays $2 for
shipping.
Which expression represents his total cost?
Answer:
A. 3b + 2
Step-by-step explanation:
We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.
What don't we know? The cost of the 3 copies.
So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is
3b + 2
0.8 to the fourth power
NEED HELP ASAP 45 POINTS
What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G
Answer:
dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down
Step-by-step explanation:
The sides of the △ HIJ are:
IH = 6
IJ = 3
Applying the scale factor we obtain the sides of △ H'I'J '.
The scale factor is k = 1/3.
Therefore, we have:
I'H '= 2
I'J '= 1
Then, we move the △ H'I'J 2 units down.
.A bicycle normally sells for $475. The bicycle was discounted 30% for a
sale. After the sale was over, the new price of the bicycle was 25%
higher than the sale price. What was the new price of the bicycle?
Answer:
415.63
Step-by-step explanation:
Multiply the price by the sales tax to find out how much money the sales tax will add.
Answer:
$415.63
Step-by-step explanation:
475
after 30%
475 times .30 = 142 5
475 - 142.5 = 332.5 <- sale price
332.5 times .25 = 83.125
332.5 + 83.125 = 415.625 <- new price
the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
“Explain why you can have different values when evaluating an algebraic expression”
Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms
Given expression:
[tex]0.8 - 0.6[/tex]To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
[tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]
[tex]\implies \dfrac{[8 - 6]}{10}[/tex]
[tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]
When 2/10 is simplified in lowest terms, we get;
[tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]
Therefore, 0.8 - 0.6 in fraction form is 1/5.
Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529
PLEASE HELP QUICK
………
Answer:
you need to width x height x length b
Step-by-step explanation:
Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height (5 cm)refers to the vertical dimension.
What is the domain of the function graphed below?
O X<7
O x<_7
O-2
O all real number
Reason:
The domain is the set of allowed x inputs.
The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.
The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.
The arrow pointing to the left indicates that piece goes on forever in that direction.
Answer:
x < 7
Step-by-step explanation:
The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)
At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.
The domain of the function is :
x < 7To the nearest tenth, what is the area of a circle whose diameter is 21 inches?
Use 3.14 for PI
Enter your answer in the box.
____in2
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
please help will mark Brainliest!!
Answer:
The answer is (-2,0)
Step-by-step explanation:
The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)
what was the price per ounce of a 24-ounce bag of chocolate chips that cost $5.40?
Answer:
22.5¢ per oz
Step-by-step explanation:
24 oz cost = $5.30
1 oz cost = $5.40/24 = 22.5¢ per oz
Answer:
0.22.5
Step-by-step explanation:
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
The arrangements of things following one after another in time
Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4
Step-by-step explanation:
this is the answer
hope it help
PLEASE HELP FAST WILL GIVE BRAINLY
write an equation in point-slope form for the given point and slope:
point: (-7,5)
slope :3
Answer:
I believe it is y-5=3(x+7)
Step-by-step explanation:
Point Slope form = y-y1=m(x-x1)
The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.
f(x) = 3x^2 + 5x find f(3)
Answer:
f(3) = 42
Step-by-step explanation:
f(x) = 3x² + 5x
Then
f(3) = 3(3)² + 5(3)
= 3×9 + 5×3
= 27 + 15
= 42
Anyone? please help asap i really want to finish this
Note: please add the answer next to the number its from so I can know which question was answered
Answer:
Question 3: [tex]b \geq 2[/tex]
Question 4: [tex]r < -5[/tex]
Question 5: [tex]y \leq -6[/tex]
Step-by-step explanation:
Question 3:
[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]
Question 4:
[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides
Question 5:
[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]
how to calculate annuity
Answer:
The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.
Step-by-step explanation:
Hope this helps :) :)
