Answer:
3 f
Step-by-step explanation:
(-1)+(4)
-+(4)
-+4
-f+4
-f+4
3
3
Sanjay uses 225 N of force to move a wheelbarrow 18 m at a velocity of 1.8 m/s. What was the amount of power used?
The amount of power used when Sanjay applied a force of 225N to move a wheelbarrow over the given distance at a velocity of 1.8m/s is 405 watts.
What was the amount of power used to move the wheelbarrow?Power is the quantity of energy transferred per unit time. The relationship between force, velocity and power is expressed aa;
P = F × v
Given the data in the question;
Force applied F = 225N = 225kgm/s²Distance moved s = 18mVelocity v = 1.8m/sPower = ?To find the amount of power used, plug the given values into the above formula and solve for P.
P = F × v
P = 225kgm/s² × 1.8m/s
P = 225kgm²/s³ × 1.8
P = 405kgm²/s³
Power P = 405W
Therefore, the amount of power used by Sanjay is 405 watts.
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A = P(1+r) solve for r
Answer:
50
Step-by-step explanation:
csehufe;whweih/a=r+9+9
_(&*%^&*&^%^&*765678987654567890(*&*()_)(*()_(*()_+=9
1)
Solve the equation for y. Then, complete the
5x + 4y = 20
y=
Preview
20
Answer:
-5/4
Step-by-step explanation:
debemos de usar la ecuacion dy/dx
PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
The fact that a connection is proportional if its graph is a line that runs through its origin should be stressed. This can be used to find the ratio in the proportional relationship.
How to explain the information?When the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not proportional. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a relationship is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.
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Ms.Vega read 20% of the Star Wars book. She read 8 pages of the book
The total number of the pages in the star war book which Ms. Vega is reading is 40.
percentage- a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Let the number of pages = X
percentage of read pages = 20%
Number of read pages by her = 8
to find the total number in star war book
20% of X = 8
20/100 x X = 8
X = (8 x 100)/ 20
X = 4 X 10
X = 40
Total number of pages in star war book is 40.
The question is incomplete the complete question is
Ms. Vega read 20% 8of the Star Wars book. She read 8 pages of the book. Write pages in the Star Wars book.
The total number of the pages in the star war book which Ms. Vega is reading is 40.
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Solve for Lowercase w
Mark operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 37−x signs per week. What is the smallest number of signs that he can sell to have an income of $300 in one week?
The smallest number of signs that he can sell to have an income of $300 in one week is 12.
The price of one sign is x
Number of signs he sells per week = 37-x
The total earning from selling these is x(37-x) which is given as $300
(37- x) x = 300
37x - x² = 300
x² - 37x + 300 = 0
As per formula to find base in a quadratic equation
[tex]x =\frac{37 - \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 - \sqrt{1369-1200 } }{2} \\x =\frac{37 - \sqrt{169 } }{2} \\x = \frac{37-13}{2}\\ x = \frac{24}{2}\\ x = 12[/tex]
The other base can be
[tex]x =\frac{37 + \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 + \sqrt{1369-1200 } }{2} \\x =\frac{37 + \sqrt{169 } }{2} \\x = \frac{37+13}{2}\\ x = \frac{50}{2}\\ x = 25[/tex]
Therefore the smallest number of signs that he can sell to have an income of $300 in one week is 12.
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Can somebody help me with question number 4?
nswer:
[tex]\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}[/tex]Explanation:
ere, we want to solve the syastem of linear equations simultaneously by elimination
We have this as:
[tex]\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}[/tex]We start by multiplying the first equation by 6 and the second by 4. We have this as:
[tex]\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}[/tex]Add both equations as follows:
[tex]\begin{gathered} -2y\text{ = -6} \\ y\text{ = }\frac{-6}{-2}\text{ = 3} \end{gathered}[/tex]To get x, we multiply the first equation by 5 and the second by 3
We have this as:
[tex]\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}[/tex]We proceed to add both equations:
[tex]\begin{gathered} -2x\text{ =8} \\ x\text{ = }\frac{8}{-2} \\ x\text{ = -4} \end{gathered}[/tex]At the city museum, child admission is $6.00 and adult admission is $9.60. On Sunday, twice as many adult tickets as child tickets were sold, for a total sales of $630.00. How many child tickets were sold that day?
Answer:
25 child tickets and 50 adult tickets
Step-by-step explanation:
Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:
6.00c + 9.60a = 630.00
a = 2c
Substitute 2c for a in the top equation:
6.00c + 9.60(2c) = 630.00
6.00c + 19.20c = 630.00
25.20c = 630.00
c = 25, a = 50
What happens to the x and y-values when you translate an object up?
When we translate an object up, the values of x remain the same, but the values of y change by a positive value.
Nautical flags are used to communicate on
ships. Kimani uses the
scale drawing at the
right to sew a nautical Z flag. The scale from
her flag to the drawing is 20
Each color is
4
of the flag. How many square inches of
each color of fabric does Kimani need?
Answer:
5
Step-by-step explanation:
according to my own understanding since her flag to the drawing is 20. each colour is 4,then u divide 20 by 4. The answer is 5
I have been stuck in this problem for 2 hours please help
We need to find the values of "x" and "y" from two triangles that are congruent. If the triangles are congruent it means that the corresponding angles are equal. This means that angle R and angle N are the same, and from the angle sum theorem w know that the interior angles of triangle QPR sum 180, that is mathematically:
[tex](9x-18)+84+\angle R=180[/tex]Since angle N is 3x+y, we replace that in the equation:
[tex](9x-18)+84+(3x+y)=180[/tex]Simplifying we get:
[tex]\begin{gathered} 12x+y+66=180 \\ 12x+y=180-66 \\ 12x+y=114,\text{ (1)} \end{gathered}[/tex]That gives us equation (1), but we need another equation since we have two variables. The other equation we get it from angles L and P, since this two angles must be equal. So we get the following equation:
[tex]4x+17=9x-18[/tex]Solving for "x", we get:
[tex]\begin{gathered} 4x-9x=-18-17 \\ -5x=-35 \\ x=-\frac{35}{-5}=7 \end{gathered}[/tex]The value of "x" is 7. Now we input this value in equation (1), like this:
[tex]\begin{gathered} 12x+y=114 \\ 12(7)+y=114 \\ 84+y=114 \end{gathered}[/tex]Solving for "y", we get:
[tex]\begin{gathered} y=114-84 \\ y=30 \end{gathered}[/tex]therefore, the value of "y" is 30.
Use the drawing tool(s) to form the correct answer on the provided graph.
The rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation.
Draw the resulting rectangle.
If the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .
In the question ,
From the figure given below , we can see that the coordinates of the rectangle are (4,2) , (4,4) , (-2,2) , (-2,4) .
let us name the coordinates of the rectangle as A(4,2) , B(4,4) , C(-2,4) , D(-2,2) .
and to dilate the rectangle by a scale factor of 1.5 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor
so the rule to describe the dilation will be
(x,y)→(1.5x,1.5y)
Using this rule to find the new coordinates of the rectangle A'B'C'D' .
When A = (4,2)
A' = (1.5*4,1.5*2)
A' = (6,3)
When B = (4,4)
B' = (15*4,1.5*4)
B' = (6,6)
When C = (-2,4)
C' = (1.5*(-2),1.5*4)
C' = (-3,6)
When D = (-2,2)
D' = (1.5*(-2),1.5*2)
D' = (-3,3)
So the coordinates of the rectangle A'B'C'D' is A' = (6,3) , B' = (6,6) , C' = (-3,6) , D' = (-3,3) .
the new resulting rectangle is drawn below
Therefore , if the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .
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If x + 1/x = 83, find the value of x^2 + 1/x^2
Answer:
6887
Step-by-step explanation:
given
x + [tex]\frac{1}{x}[/tex] = 83 ( square both sides )
(x + [tex]\frac{1}{x}[/tex] )² = 83² = 6889 ← expand factor on left using FOIL
x² + 2( x × [tex]\frac{1}{x}[/tex] ) + [tex]\frac{1}{x^2}[/tex] = 6889
x² + 2(1) + [tex]\frac{1}{x^2}[/tex] = 6889 ( subtract 2 from both sides )
x² + [tex]\frac{1}{x^2}[/tex] = 6887
There are 6 triangles and 15 squares. What is the simplest ratio of triangles to squares?
Answer:
2:5
Step-by-step explanation:
6:15= 2:5
Houston wants to play the "Guess your weight" game at the Strawberry Festival. If the guess is not within 10 pounds of his actual weight, Houston wins a prize. Houston weighs 102 pounds.
Write an equation to represent this situation. Use the equation to determine the greatest and least guesses that can be made without Houston winning a prize?
An equation to represent this situation is |x - 102| = 10.
The greatest and least guesses that can be made without Houston winning a prize are 112 pounds and 92 pounds.
Given:
Actual Weight of Houston = 102 pounds
Now, if the guess is not within 10 pounds of his actual weight, Houston wins a prize.
An equation to represent this situation can be written as,
|x - 102| = 10
As we know a modulus function always generates a positive value.
We need the difference between the guessed weight and the actual weight to be exactly 10 pounds so we have applied modulus in the equation.
Now we utilize the above equation to determine the greatest and least guesses that can be made without Houston winning a prize.
The greatest guessed weight will be,
x - 102 = 10 ⇒ x = 102 + 10 ⇒ x = 112 pounds
The least guessed weight will be (the modulus value will be negative in this case)
-x + 102 = 10 ⇒ x = 102 - 10 ⇒ x = 92 pounds
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for each of the points identify the axis or constant where the point is located 8.7 and 2.3 
The given points are located in the 1st quadrant.
How to determine which quadrant?Refer to the attachment.
Since the two points x or abscissa = 8.7 and ordinate or y axis = 2.3 and both the numbers are positive thus they belong to the First quadrant.
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Daniel and his three friends are sharing the cost of a pizza. The pizza costs $13.00. If Daniel has
$5.00, how much will he have left after he pays his share?
Answer: 1.75
Step-by-step explanation:
13/4 = 3.25
5.00-3.25
1.75
The Nutty Professor sells cashews for $7.20 per pound and Brazil nuts for $4.10 per pound. How much of each type should be used to make a 32 pound mixture that sells for $5.75 per pound?
They have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds
The cost of cashews per pounds = $7.20
The cost of nuts per pounds = $4.10
Consider the number of pounds of cashews as x and number of pounds of nuts as y
Total pounds of mixture = 32 pounds
The equation will be
x+y = 32
x = 32-y
Cost of the mixture for one pound = $5.75
Cost of the mixture for 32 pounds = 32×5.75
= $184
Then the equation will be
7.20x+4.10y = 184
Here we have to use the substitution method
Substitute the value of x in the equation
7.20(32-y)+4.10y = 184
230.4-7.20y+4.10y = 184
230.4-3.1y = 184
-3.1y = 184-230.4
-3.1y = -46.4
y = 14.97 pounds
x+y = 32
x+14.97 = 32
x = 17.03 pounds
Hence, they have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds
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I will give brainliest, like and rating if u solve this right
If f(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (f(x)) =_?
Use the table of values for
y = f(x)
to complete a table for
y = f −1(x).
(Order your answers from smallest to largest x-value.)
The table containing the values of the inverse function is given at the end of the answer.
How to find the set of points (x,y) of a inverse function?A function will have a set of points (x,y). In the inverse function, the values of x and y are exchanged with each other, hence the rule is:
(x,y) -> (y,x).
Hence, the points are found as follows:
On the original function, when x = -4, f(x) = 10. Then, on the inverse function, when x = 10, f^-1(x) = -4.On the original function, when x = -3, f(x) = 0. Then, on the inverse function, when x = 0, f^-1(x) = -3.On the original function, when x = -2, f(x) = -10. Then, on the inverse function, when x = -10, f^-1(x) = -2.On the original function, when x = -1, f(x) = -20. Then, on the inverse function, when x = -20, f^-1(x) = -1.On the original function, when x = 0, f(x) = -30. Then, on the inverse function, when x = -30, f^-1(x) = 0.On the original function, when x = 1, f(x) = -40. Then, on the inverse function, when x = -40, f^-1(x) = 1.The table containing these values is given at the end of the answer.
What is the missing information?The tables are missing, and are given at the end of the answer.
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Mr. Salcedo was driving at a constant speed. He drove 120 3/4 miles in 3 hours. At that speed, how
many miles will he drive in 7 1/2 hour? How many miles will he drive in one hour?
He will cover 301.875 miles in 7.5 hours at a unit speed of 40.25 miles per hour.
What is unit rate?A ratio that compares two amounts of different types of units is called a rate. When a unit rate is expressed as a fraction, the denominator is 1 unit.
Rate = Distance/Time
If Mr.Salcedo was driving at 120 3/4 miles in 3 hours, his unit rate will be calculated as:
Unit rate =[120 3/4]/3
Unit rate = 483/12
Unit rate = 40 1/4 miles/hr
This shows that he drove 40 1/4 miles/hr.
The miles he drove in 7 1/2 hour is expressed as;
Miles driven = 161/4 * 15/2
Miles driven = 301.875 miles
Hence the miles that he will drive in 7.5 hours is 301.875miles and the unit rate is 40.25 miles/hr
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Find the equation (in terms of xx ) of the line through the points (-4,1) and (5,-3)
EXPLANATION
Given two points of a line, we can find the the equation of that line using the steps below:
• Step 1
Determine the slope of the line, using the formula below:
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]The points given are (-4, 1) and (5, -3). This implies that the coordinates are
x₁= -4 y₁=1 x₂=5 y₂=-3
Substitute the values into the formula and simplify.
[tex]m=\frac{-3-1}{5+4}=-\frac{4}{9}[/tex]• Step 2
Determine the y-intercept(b) of the line.
Substitute x₁= -4 y₁=1 and m=-4/9 into y=mx + b and solve for intercept(b).
1 = (-4/9)(-4) + b
[tex]1=\frac{16}{9}+b[/tex]Subtract 16/9 from both-side of the equation.
[tex]b=1-\frac{16}{9}[/tex][tex]b=\frac{9-16}{9}=-\frac{7}{9}[/tex]The intercept (b) = -7/9
• Step 3
Form the equation by substituting the value of the slope and intercept into y=mx + b.
Hence, the equation of the line is:
[tex]y=-\frac{4}{9}x-\frac{7}{9}[/tex]List the first 6 multiples of 8
Answer: 8, 16, 24, 32, 40, 48
Step-by-step explanation:
because if you add all of those numbers up, that's what you get.
Answer:
8 - 16 - 24 - 32 - 40 - 48
Step-by-step explanation:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
In 2008, 1.7m iPhones were sold. In 2012, 35.2m iPhones were sold. Assuming the sales of iPhones increases exponentially, how many iPhones should be expected to be sold in 2017?
The number of iPhones that should be sold in 2017 (since growth is exponential) is $ 6,476,635 x 10⁶. See the explanation below.
What is exponential Growth?Exponential growth is a data pattern that exhibits greater increases with time. Compounding produces exponential profits in finance. Compounding interest savings accounts may provide exponential growth.
The calculation for the above solution is as follows:
Recall that the formula for exponential growth is:
f(x) = a (1+r)ˣ
Where:
f(x) = exponential growth function
a = initial amount
r = growth rate
{x} = number of time intervals
Hence f(x) = 1.7 (1+ r)⁵
Note that x = 2017-2012 =5
r = (present value - past value)/ past value
Present value = 35.2
Past Value = 1.7
Hence r = (35.2-1.7)/1.7
r = 19.7058823529
Approximately 19.71
Hence,
f(x) = 1.7 (1+ 19.71)⁵
= 1.7 (20.71)⁵
= 1.7 x 3809785.2361
= 6476634.90137
Which is approximately = 6,476,635
Recall that our computation was done in millions hence the answer if left in standard notation is:
Increase in 2017 = $ 6,476,635 x 10⁶
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Which has a terminal point of (square root 2/2 and square root 2/2). What is the terminal point of 5pi/4?
To find 5π/4 as terminal point, we will take the angle as 5π/4
The first coordinate is the x coordinate = cos θ
The second coordinate is the y coordinate = sin θ
[tex]\begin{gathered} We\text{ n}eed\text{ to convert the angle to degre}e\colon \\ 1\pi\text{ rad = 180}\degree \\ \frac{5\pi}{4}\text{ rad = 225}\degree \\ \\ sin\text{ is negative in third quadrant} \\ 225\text{ - 180 = 45} \\ \sin \text{ 45 = }\frac{\sqrt[]{2}}{2} \\ \\ \sin \text{ 225}\degree\text{ =- }\frac{\sqrt[]{2}}{2} \end{gathered}[/tex][tex]\begin{gathered} \theta\text{ = 225}\degree\text{ }is\text{ in third quadrant} \\ \\ 180\text{ -225 = 45}\degree \\ \cos \text{ 45}\degree\text{ = }\frac{\sqrt[]{2}}{2} \\ \text{ 225 is negative in third quadrant} \\ \\ \cos \text{ 225}\degree\text{ =- }\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Hence, the terminal of 5π/4:
[tex]\text{(-}\frac{\sqrt[]{2}}{2},\text{ -}\frac{\sqrt[]{2}}{2})\text{ (option C)}[/tex]
To find the solution to |3x + 2|= 4, which two equations must you solve?
Answer:
YOU MUST SOLVE ---> |3x + 2|
Step-by-step explanation:
|3x + 2| = 4
-2 -2
3x = 4
x = 0.75
HOPE this HELPED
The width of a rectangle is 15 cm less than the length. The perimeter is
8 cm. Find the rectangle's dimensions.
If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The width of a rectangle is 15 cm less than the length
Consider the length of the rectangle as x
The the width of the rectangle = x-15
The perimeter of the rectangle = 150 cm
The perimeter of the rectangle = 2(l+w)
Where l is the length and w is the width
Substitute the values in the equation
2(x+(x-15))=150
2(2x-15)=150
4x-30 = 150
4x = 180
x = 45 cm
The width of the rectangle = x-15
= 45-15
= 30 cm
Hence, If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The complete question is
The width of a rectangle is 15 cm less than the length. The perimeter is
150 cm. Find the rectangle's dimensions.
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What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 22% 13% 21% 17% 20% 7%
A button hyperlink to the SALT program that reads: Use SALT.
(a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are distinct and the probabilities do not sum to 1.
Yes. The events are distinct and the probabilities sum to 1.
Yes. The events are indistinct and the probabilities sum to less than 1.
No. The events are indistinct and the probabilities sum to 1.
Correct: Your answer is correct.
(b) Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)
Maple Generated Plot Maple Generated Plot
Maple Generated Plot Maple Generated Plot
Correct: Your answer is correct.
(c) Compute the expected income of a super shopper. (Round your answer to two decimal places.)
=
Incorrect: Your answer is incorrect.
thousands of dollars
(d) Compute the standard deviation for the income of super shoppers. (Round your answer to two decimal places.)
=
Incorrect: Your answer is incorrect.
thousands of dollars
From the given probability distribution, it is found that:
a) Yes. The events are distinct and the probabilities sum to 1.
b) The histogram is given at the end of the answer.
c) The mean is of 32.1.
d) The standard deviation is of 16.02.
What is the probability distribution?
Using the midpoint rule, the distribution is given as follows:
P(X = 10) = 0.22.P(X = 20) = 0.13.P(X = 30) = 0.21.P(X = 40) = 0.17.P(X = 50) = 0.20.P(X = 60) = 0.07.The outcomes are distinct, and their sum is of:
0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.
Hence it represents a probability distribution.
The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1
The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:
S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.
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what is the image point (6,-9) after the rotation of 270 degrees counterclockwise about the origin
Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)
As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.
We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.
So the point (x, y) becomes (y, -x)
So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)
Cartesian Plane: A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.To learn more about Cartesian Plane, click on the link given below:
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