A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.
What is speed?
Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.
The particle travels at a rate of 1.8 × 10^5 m.
The particle travels a distance of 9.0 × 10^12 m.
Let the time taken for the particle to travel be x.
The formula for calculating the distance traveled by the particle is -
distance = rate × time
time = distance/rate
Plugging in the values in the equation -
x = 9.0 × 10^12/1.8 × 10^5
x = 9.0/1.8 × (10^12-5)
x = 5 × 10^7 sec
Therefore, the time taken by the particle to travel is 5 × 10^7 sec.
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if you do 44 push ups in 4 minutes how many will he do in 5 minutes
Answer:
55
Step-by-step explanation: i think
Answer:
Step-by-step explanation:
it would be 55 because he does 11 each minute.
PLS HELP!!!! Will give brainliest (multiple answers) 40PTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.
Week 1 Week 2 Week 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11
In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.
Week 3
None of the weeks.
Week 2
Week 1
Salesman C have a larger paycheck than both of the other salesmen in
None of the weeks.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Salesman A works earns $65 per sale, with a maximum weekly commission of $1,300
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.
Salesman C does not earn any commission. His weekly salary is $900. Now we have that, A is getting $1300 commission,
and, salary of C is $900, he has no commission.
i.e. C can't earn more than A
Hence, Salesman C have a larger paycheck than both of the other salesmen in None of the weeks.
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The solution is Option D.
The week 1 is when Salesman C have a larger paycheck than both of the other salesmen and is given by the equation C = $ 900
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of sales be represented as x
Let the maximum weekly salary of Salesman C be = $ 900
Now , the weekly salary of Salesman A = $ 65x
where x is the number of sales
And , the weekly salary of Salesman B = $ 300 + $ 40x
Now , on week 1,
Salesman A made 11 sales
Substitute the value of x = 11 in the equation , we get
So , the salary of Salesman A on week 1 = 65 ( 11 )
On simplifying the equation , we get
The salary of Salesman A on week 1 = $ 715
And , Salesman B made 14 sales
Substitute the value of x = 14 in the equation , we get
The salary of Salesman B on week 1 = 300 + 40 ( 14 )
On simplifying the equation , we get
The salary of Salesman B on week 1 = 300 + 560
The salary of Salesman B on week 1 = $ 860
So , Salary of Salesman C on week 1 > salary of Salesman B on week 1 > salary of Salesman A on week 1
And , $ 900 > $ 860 > $ 715
Hence , the solution to the equation is week 1
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Is this a perfect square trinomial X² 6x 9?
x² + 6x + 9, this is a perfect square trinomial, which is expressed as
(x + 3)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 6x + 9
= (x)² + 2(3x) + 9
= (x)² + 2(x)(3) + 3²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 3)²
= (x +3) (x + 3)
so, this is a perfect square trinomial.
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2) Jenny has a water tank that needs to be
filled up. The water tank can hold 500 gallons
of water. She adds 20 gallons of water every
hour. How many hours does it take for Jenny
to be able to fill up the tank?
It will take 25 hours for Jenny to fill up the tank.
To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:
500 gallons / 20 gallons/hour = <<500/20=25>>25 hours
Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel
He needs to make 1 and a half trips to the well to fill the barrel which has a height of 15 inches and radius 10 inches.
What are cuboid?A cuboid is a three-dimensional geometric shape that has six rectangular faces, three of which meet at each corner. A cuboid has three dimensions: length, width, and height. It is also commonly referred to as a rectangular prism. The formula for the volume of cuboid is [tex]V = l *w * h[/tex], where l is the length, w is the width, and h is the height. The formula for the surface area of a cuboid is [tex]2lw + 2lh + 2wh[/tex]. Cuboids are used in everyday life such as building blocks and package boxes.
The cylindrical barrel has a volume of [tex]\pi * r^2 * h = \pi * 10^2 * 15 = 1500\pi[/tex] cubic inches.
The hemisphere has a volume of [tex](2/3) * \pi * r^3 = (2/3) * \pi * 10^3 = (2000/3)\pi[/tex] cubic inches.
So, to fill the barrel, Brad must make [tex]1500\pi / (2000/3)\pi = 3/2 = 1.5[/tex] trips to the well.
In other words, he needs to make 1 and a half trips to the well to fill the barrel.
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Claire keeps track of the miles per gallon her car gets per week. She has accumulated the following data: (1, 22.42), (2, 22.84), (3, 23.26), (4, 23.68) What is the common difference or ratio
The common difference is 0.42. The comparison of each ratio's successive values over time for a single firm.
Now, According to the question:
What is meant by ratio?
When expressed in numbers or amounts, a ratio is a relationship between two things. For example, if a room contains ten boys and thirty girls, the boy-to-girl ratio is 1:3, or one to three.A ratio, or getting rationed, on the occurs when replies to a tweet vastly outnumber likes or retweets. This means that people are reacting negatively to the tweet's content.It usually means that your comment has received more replies than likes. This implies that there are more people who disagree with your comment than agree with it.Therefore, simplifying the equation then we get,
if you take the ranges (y) and subtract one from the other you get 0.42.
(22.84 - 22.42)/(2 - 1) = 0.42/1 = 0.42
(23.26 - 22.84)/(3 - 2) = 0.42
(23.68 - 23.26)/(4 - 3) = 0.42
Hence, The common difference is 0.42
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write the equation of the line in fully simplified intercept form
Answer:
y = -x - 6
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise / run or (y2 - y1) / (x2 - x1)
Let's pick 2 points ( -6, 0) (-5, -1)
We see the y decrease by 1 and the x increase by 1, so the slope is
m = -1
The y-intercept is located at (0,-6)
So, our equation is
y = -x - 6
. Find sin D , sin E , cos D , and cos E . Write each answer as a fraction in simplest form.
The trigonometric functions are sin D = 28/53, sin E = 45/53, cos D =45/53, and cos E = 28/53 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin D = EF/DE
sin D = 28/53
sin E = DF/DE ,
sin E = 45/53
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos D = DF/DE
cos D =45/53
cos E = EF/DE
cos E = 28/53
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What is the GCF of 20x^76 and 8x^92
The GCF of the given expressions is 4x⁷⁶
What is the greatest common factor?The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.
Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4
and x⁷⁶ is a factor of 8x⁹²
∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶
Hence, The GCF of the given expressions is 4x⁷⁶
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What is the y-intercept at 0 4?
The y-intercept of (0,4) is 4.
A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
The y-coordinate of the y-intercept is determined by computing f(0) if the curve in question is supplied as y=f(x), y=f(x), etc. There is no y-intercept for functions that have an value at x = 0.
The constant term a is the y-coordinate of the y-intercept if the function is linear and is written in slope-intercept form as f(x)=a+bx"
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What is the value of the expression shown below?
-28+42-12+(-16) + 7
A.14
B. 7
C.-7
D.-14
What is the measure of angle OAC if major arc AB measures 220 degrees?
55°
70°
110°
140°
I already know the answer is 55 but I need to know why and how to get 55?
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
What is triangle?Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
Here,
Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:
OAC = 0.5 times 220 degrees.
110 degrees is OAC.
If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:
OAC equals 0.25 x 220 degrees
OAC = 55 degrees
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
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35x+60y>(or equal to)7,000
Solve for x and y
For this question u have to assume value of either x or y
For example
to find the value of x
side calculation (7000/35 = 200)
let x = 200
then 35(200) +60y = 7000
7000 + 60y = 7000
60y = 7000-7000
so y = 0
so value of x should be greater than or equal to 200
x >(or equal to) 200
to find the value of y
side calculation ( 7000/60 = 116.67)
let y = 116.67
then 35x + 60(116.67) = 7000
35x + 7000 = 7000
35x = 7000-7000
35x=0
so x = 0
so the value of y should be greater than or equal to 116.67
y >( or equal to 116.67)
The effect of wearing different types of running shoes on the time it takes to
complete a race is being studied in an experiment. Which of these is most
likely to be an extraneous factor that could also affect the time it takes to
complete the race?
A. Number of people the stadium can hold
OB. Color of the shoes
OC. Day of the week
OD. Type of treads on the shoes
Most likely one of these unrelated factors that could possibly have an impact on how long it takes to finish the race is the environment
What is meant by extraneous solution?An extraneous solution (also known as a spurious solution) is a solution that develops during the problem-solving process but is not a true solution to the issue at hand, such as the answer to an equation. Any variable that you are not researching but that might have an impact on the results of your research study is referred to as an extraneous variable in an experiment. Uncontrolled auxiliary variables can result in conclusions regarding the link between independent and dependent variables that are incorrect. The numbers we obtain when solving equations that aren't actually solutions to the equation are referred to as extraneous solutions. Extraneous variables are anything that could potentially influence the outcomes but is not the independent variable.Therefore the correct option is a) Number of people the stadium can hold
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Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 8 + 27) + 52 and 8 + (27 + 52)
Which one is correct
yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent
Answer:
yes, it uses the Associative Property
Step-by-step explanation:
The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.
Blake uses 2 gallons of gas to drive 34.6 miles in his car. Find the rate of change.
Answer:
17.3 miles / gallon
Step-by-step explanation:
RatesRates can be represented in different forms, such as speed (meters per second) or water flow rate (liters per minute or second)
SolutionGiven information from the question,
2 gallons = 34.6 miles
1 gallon = 34.6 ÷ 2 = 17.3 miles / gallon
What is the volume of the rectangular prism?
^answer:^
~10 cubic feet~
^step by step explanation:^
first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.
The sum of the measures of the interior angles of a convex polygon is 1260°. Classify the polygon by the number of
sides.
O Heptagon
O Octagon
ONonagon
O Decagon
The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.
How can you determine a polygon's entire angle?Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.
What is the formula for polygons?The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.
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2x+5=2x+6
equations please help
8th grade math
Answer:
Step-by-step explanation:
PLEASE HELP !!
Find the value of x
picture attached
Answer:
x = 11
Step-by-step explanation:
The two angles are consecutive interior angles so they add up to 180
13x -26 + 5x + 8 = 180
13x + 5x -26 + 8 = 180
18x - 18 = 180
18x = 180 + 18
18x = 198
x = 11
How many 1/3 ounce cups can be taken
Answer:
90
Step-by-step explanation:
If we know that for every cup, we can take 3 of 1/3-ounce cups, we can use an equation that looks like this:
number of cups × 3 = total 1/3-ounce cups
If there are 30 cups, then we can simply insert 30 into the equation.
30 × 3 = 90
Therefore, you can make 90 1/3-ounce cups from the cereal box.
How is rotation and dilation similar?
Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.
The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.
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Given
A
B
‾
∥
D
C
‾
AB
∥
DC
and
B
C
‾
∥
A
D
‾
BC
∥
AD
, prove
△
A
B
C
≅
△
C
D
A
△ABC≅△CDA by filling out the flowchart below.
The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.
What is triangle ?Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."
given
AB||DC , BC||AD
To show that
ΔABC≅ ΔCDA
First box
AB || DC (given )
below box to the first box
∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )
Second box
BC||AD ( given )
Below box to the second box
∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )
Third box in the second row
AC = AC ( common side )
Last box
So by using ASA congruence axiom
ΔABC ≅ΔCDA
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Help with question 3
Answer:
All real numbers for both Range and Domain
R
or
(−∞,∞)
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-7,-6)
(6,3)
(4,-4)
The fourth point is (-6.5, -14)
Vertices of a parallelogram?
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
One way to find the fourth vertex is to use the vector that connects one vertex to another. The vector from (-7,-6) to (6,3) is (13,9), and from (6,3) to (4,-4) is (-2,-7)
If we use the vector which is opposite of (-2,-7) that is (2,7) and add it to the third point (4,-4) , we will get the fourth point.
(2,7) + (4,-4) = (6,3)
so the fourth point is (6,3)
Another way is to find the midpoint of the diagonal of the parallelogram which are (-7,-6) and (4,-4) and then add the vector which is opposite of (6,3) to (4,-4) that is (-6,-9) which is also the vector from (6,3) to (4,-4)
Midpoint of (-7,-6) and (4,-4) = (-0.5,-5)
(-0.5,-5) + (-6,-9) = (-6.5, -14)
Hence, the fourth point is (-6.5, -14)
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The histogram shows the number of items that customers bought during a trip to the grocery story 1 day. 400 customers took a trip to the grocery store that day. Which is the best estimate for the number who bought at least 50 items during their trip
The number of people who bought fewer than 30 items exists 204.
What is meant by histogram?The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.
Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).
Number of people who bought fewer than 30 items
= (0.14 + 0.12 + 0.24)400
= 0.51 x 400 = 204
Therefore, the correct answer is option B) 204.
The complete question is:
The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?
A) 278
B) 204
C) 148
D) 106
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5^3 x 7^5+9^8+0+0+0+0+0+0+(9^7x5^6)
Answer:
74,779,038,221
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
[tex]5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6[/tex]
We can eliminate all the zeroes.
[tex]5^3*7^5+9^8+9^7*5^6[/tex]
Evaluate each term.
Raise 5 to the power of 3.
[tex]125*7^5+9^8+9^7*5^6[/tex]
Raise 7 to the power of 5.
[tex]125*16807+9^8+9^7*5^6[/tex]
Raise 9 to the power of 8.
[tex]125*16807+43046721+9^7*5^6[/tex]
Raise 9 to the power of 7.
[tex]125*16807+43046721+4782969*5^6[/tex]
Raise 5 to the power of 6.
[tex]125*16807+43046721+4782969*15625[/tex]
Multiply 125 by 16807.
[tex]2100875+43046721+4782969*15625[/tex]
Multiply 4782969 by 15625.
[tex]2100875+43046721+74733890625[/tex]
Add 2100875 and 43046721.
[tex]45147596+74733890625[/tex]
Add 45147596 and 74733890625.
[tex]74779038221[/tex]
A calculator would help but here you go.
what is the volume of cylinder when the radius is 3 and height is 13.33
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=13.33 \end{cases}\implies V=\pi (3)^2(13.33)\implies V\approx 376.90[/tex]
There are 200 students, where 86 of them were in the athletics team. Therefore, ___% of the students were in the athletics team.
Answer:
43%
Step-by-step explanation:
calculate percentage as
( number of students in athletics team ÷ total students ) × 100%
= ( 86 ÷ 200) × 100%
= 0.43 × 100%
= 43%
why is the product of the circumradius and the area of the triangle equal to the product of the sides of the triangle
Answer:
It isn't.
The correct relation is 4r·Area = abc.
Step-by-step explanation:
You want to show the relation between the product of triangle side lengths and the product of the triangle area and the radius of the circumcircle.
Triangle areaThe area of the triangle in the attached diagram can be found by ...
Area = 1/2(bc)sin(α)
Side lengthThe inscribed angle theorem tells you the measure of the arc subtended by an inscribed angle is twice the measure of the inscribed angle. That means the opposite chord will be twice the length of the product of the radius and the inscribed angle value:
a = 2r·sin(α)
Circumradius productThe product of the circumradius and the area of the triangle is ...
r·Area = r·(1/2)(bc)sin(α) = 1/4(bc)(2r·sin(α)) = 1/4abc
Without the fractions, the relation is ...
4r·Area = abc
__
Additional comment
As a simple example, consider a 3-4-5 right triangle. The area of the triangle is ...
A = 1/2(3)(4) = 6
The circumradius is half the length of the hypotenuse, r = 5/2.
The relation of interest is ...
4r·Area = abc
4(5/2)(6) = 3·4·5
60 = 60 . . . . . . . . . . as expected
This could be a very simple way to find the circumradius of a triangle.