Answer:
For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.
Step-by-step explanation:
Very intresting hope this helps
1. Determine whether the following numbers could be the sides of a right triangle. Show your work.
a.
17, 15, 8
b.
7, 25, 19
a. 17, 15, 8 this can be a right triangle, while b. 7 25 19 is not a right a triangle
How to know when triangles are formedThere are an endless number of triangles produced when no side is specified.
The three angles produce an unlimited number of distinct triangles if side lengths are not provided.
When the three sides are specified the sides will be such that addition of the two smaller sides will be greater than the third side
For a. 17, 15, 8
the two smaller sides are:15 and 8
15 + 8 > 17
this can be a triangle
For b. 7, 25, 19
the two smaller sides are:7 and 19
7 + 19 > 25
this can be a triangle
For a right triangle the Pythagoras rule should be observe: the squire of the smaller sides will be equal to the square of the longer side. let the longer side be x
x² = 15² + 8²
x² = 225 + 64
x² = 289
x = √289
x = 17
this is a right triangle
x² = 7² + 19²
x ² = 49 + 361
x² = 410
x = √410
x = 20.25
this is not a right triangle
Learn more about triangles at:
https://brainly.com/question/29637739
#SPJ1
determine the volume in ml of the cooler bag if the breath of the bag is 12 cm and the length is 18 cm
Given the breadth of the bag is 12 cm and the length is 18 cm, and the assumed height is 6cm, the volume of the cooler bag is 1296 ml.
What is the volume of the cooler bag?The volume of the cooler bag is determined using the formula;
Volume = length * breadth * height
Data given:
breadth = 12 cm
length = 18 cm
height = ?
The height is not given, therefore, an assumed height of 6 cm is used in the calculation.
Converting the measurements to millimeters:
Breadth = 12 cm * 10 mm/cm = 120 mm
Length = 18 cm * 10 mm/cm = 180 mm
Height = 6 cm * 10 mm/cm = 60 mm
Now, we calculate the volume of the cooler bag:
Volume = 180 mm * 120 mm * 60 mm
Volume = 1,296,000 mm³
To convert the volume from cubic millimeters to milliliters, we divide by 1,000
Volume = 1,296,000 mm³ / 1,000
Volume of cooler bag = 1296 ml
Learn more about volume at: https://brainly.com/question/463363
#SPJ1
Which model is 85% Shaded
Answer:
cant tell
Step-by-step explanation:
need more explanation
need help with this question please and thanks 100 points
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
To know more about whisker plot,
https://brainly.com/question/2742784
#SPJ1
The blank is a plot of paired data (x,y) and is helpful in degerming whether there is a relationship between the two variables 
Step-by-step explanation:
Scatter plot is the correct answer
Alan Jeff and Lucy all take their pets to the same vet. The pets are a dog a cat and a rabbit. The names of the pets are Blackie bandit and Moe. Read the clues to determine the kind of pet each owner has and the name of the pet. Mark the correct boxes on the grid to show your answers.
Answer:
i need at least a pick of the problom
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
Write a proportion to find how many points a student needs to score on the test to get the given score? Test worth 70points ; test score of 90%.
The many points a student needs to score on the test to get the given score is 63 points.
How to calculate the value?From the information, the Test worth is 70points and the test score of 90% is needed.
The score that the student needs will be:
= Required percentage × Total score
= 90% × 70
= 90/100 × 70
= 0.9 × 70
= 63
Based on the information, it's important to note that the concept of percentage was used as the values were multiplied to get the value.
In this case, 63 points are needed.
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
what is the degree of expression 9x^2+5+2x^2-x
Answer:
2nd degree
Step-by-step explanation:
The degree of a polynomial expression is the highest power that a variable is raised to.
In the expression:
\(9x^2+5+2x^2-x\),
we can see that the highest power x is raised to is 2.
Therefore, this is a 2nd degree polynomial.
A movie theater made $500 selling 180 tickets. They sell child tickets for $3, adult tickets for $5, and senior tickets for $2. The number of adult tickets sold was 10 times the number of child tickets. Using c for a child ticket, a for an adult ticket, and s for a senior ticket, what system of equations represents this scenario?
Group of answer choices
a + c + s = 500
3c + 5a + 2s = 180
10a = c
a + c + s = 180
3c + 5a + 2s = 500
10a = c
a + c + s = 500
5c + 2a + 3s = 180
a = 10c
a + c + s = 180
3c + 5a + 2s = 500
a = 10c
Answer:
the 1st one i think cause its 500 all together
Answer:
a + c + s = 180
3c + 5a + 2s = 500
a = 10c
Step-by-step explanation:
trust
In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
Answer:
Corresponding Angles
Step-by-step explanation:
-15>-11+w solve inequality for W
Answer:
Starting with:
-15 > -11 + w
Add 11 to both sides:
-15 + 11 > w
Simplifying:
-4 > w
Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:
w < -4
How do I find the value
Answer:
A= 180-41=
A= 139 degrees
B= 180-41
B = 139 degrees
Step-by-step explanation:
On a straight line its 180 degrees
A is separating a straight line with a 41-degree angle so.
A= 180-41
A= 139 degrees
B is also separating a straight line with a 41-degree angle so.
B= 180-41
B = 139 degrees
Answer:
Hi
Please mark brainliest
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
Learn more about coordinates at:
https://brainly.com/question/17206319
#SPJ1
Select all statements that are TRUE.
A.Addition and Multiplication are INVERSE operations.
B.Subtraction and Addition are INVERSE operations.
C.Subtraction and Division are INVERSE operations.
D.Multiplication and Division are INVERSE operations.
The Statements which are true are;
Choice B; Subtraction and Addition are INVERSE operations.Choice D; Multiplication and Division are INVERSE operations.Inverse Operations:
Operations said to be inverse if both operations are complementary.
On this note, when a number x is added to a given number y, we get a number z. Also, when we add x back to the number z; we get number y back.Similarly, when we multiply a number, x by y; we get z. When z is then divided by y; we get the number x back.Ultimately,
Multiplication and Division are INVERSE operations.Addition and Multiplication are INVERSE operations.Read more on inverse operations;
https://brainly.com/question/13060162
2. Write Equation of a Circle given graph or two points Erin Hoffmann •
The equation of the circle graphed is (x + 4)² + (y + 5)² = 16
Determining the equation of the circle graphedFrom the question, we have the following parameters that can be used in our computation:
The circle (see attachment for complete question)
Where, we have
Center = (a, b) = (-4, -5)
Radius, r = 4 units
The equation of the circle graphed is represented as
(x - a)² + (y - b)² = r²
So, we have
(x + 4)² + (y + 5)² = 4²
Evaluate
(x + 4)² + (y + 5)² = 16
Hence, the equation is (x + 4)² + (y + 5)² = 16
Read more about circles at
brainly.com/question/24810873
#SPJ1
is - 5/1 a integer?
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Kona has a green pencil that has a length of 3 inches and a blue pencil that
mas a length of 4.5 inches.
3 inches
4.5 inches
She finds a red pencil that has a length of 8 inches. Kona says she cannot
make a triangle with these three pencils.
Is Kona correct?
Use the drop-down menus to explain your reasoning.
In order to form a triangle, the sum of the lengths of
must be Choose...
the length
This means Kona Choose... form a triangle
Choose...
Choose...
using these pencils, so she is Choose...
In order to form a triangle , the sum of the lengths of the two sides must be greater than the third side. This means Kona cannot form a triangle using these pencils. So she is correct.
What is triangle?
A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
Here the sides of the triangle rule asserts that sum of the lengths of the two sides triangle has be greater than the length of the third sides.
According to the question length of green pencil = 3 inches
length of blue pencil = 4.5 inches
length of the red pencil = 8 inches
Now , 3+4.5 = 7.5 which is less than 8.
Hence She cannot form a triangle.
In order to form a triangle , the sum of the lengths of the two sides must be greater than the third side. This means Kona cannot form a triangle using these pencils. So she is correct.
To learn more about triangle refer the below link
https://brainly.com/question/17335144
#SPJ1
The length of the rug was 6 feet more than the width. The area was 280
f. Find the length and the width.
Answer:
Width = 14ft Length = 20ft
Step-by-step explanation:
Area (A) of rug (having rectangular shape) = L× W A = \(280ft^{2}\)
but Length is 6ft more than width, this means L = (6 + W)ft
∴ 280 = (6+W)×W
280 = 6W + \(W^{2}\)
solving the equation as a quadratic equation; \(W^{2} + 6W - 280 = 0\)
(W - 14) (W + 20) = 0
W = 14 or W = -20 but W ≠ negative
∴ Width (W) = 14ft
Length = 6 + 14
= 20ft
Question 2 (3 points)
Find the perimeter of the trapezoid.
Hint: you will need to use the Pythagorean
formula to find the missing side. Then find the
perimeter.
162.68
176.68
182.51
175.26
16
56
80
14
21.26
The perimeter of the trapezoid is given as follows:
44 cm.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:
8² + h² = 10²
64 + h² = 100
h² = 36
h = 6.
Hence the perimeter is given as follows:
P = 18 + 10 + 10 + 6 = 44 cm.
Missing InformationThe trapezoid is given by the image presented at the end of the answer.
More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006
#SPJ1
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
for such more question on rational expression
https://brainly.com/question/28832980
#SPJ8
For 24 points answer this question!
The volume of the composite figure is 6,330.24 in^3
How to find the volume of the figure?We know that the volume of half a sphere of radius R is:
V = (2/3)*pi*R^3
Here we know that pi = 3.14 and R = 12 inches, then the volume is:
V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3
And the volume of a cone of height H and radius R is:
v = (1/3)*pi*R^2*H
So here the volume is:
v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3
Then the total volume is:
3,617.28 in^3 + 2,712.96 in^3 = 6,330.24 in^3
Learn more about volume at:
https://brainly.com/question/1972490
#SPJ1
The Columbus Junior Soccer League is
selling raffle tickets to raise money for new
uniforms and equipment. So far, league
members have earned $1,218 from selling
84 tickets. Use the equation 1,218 +84 = r
to find the cost of each raffle ticket. Then
use the answer to find what the total
earnings will be after 90 raffle tickets have
been sold.
You have $50 on a giftcard, and buy Pokemon card packages that cost $10.50 each. Let y represent the amount left on the giftcard after purchasing x card packages.
Answer: The equation would be Y= 50- 10.50(x)
Step-by-step explanation: If you were to solve, it would be 50-10.50(4). I got the 4 because that is how many packs you can spend without going over $50. So, 10.50 x 4 = 42. So, now we subtract 42 from 5, so therefore we are left with 8. So we could write the equation like
- Y= 50-10.50(x)
Or
- 50-10.50(x) = y
So, plugging in the numbers we got, it would look like this
Y= 8
X= 4
So, it would be written like this:
8= 50 - 10.50(4)
8= 50- 42
Y=8.
I hope this helped!
The equation in which y represents the amount left on the gift card after purchasing x card packages is given by y = 50 - 10.50x
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Total amount that can be spent = $50.
Cost of one Pokemon card package = $10.50.
Also, y represents the amount left after purchasing x card packages.
Since, the price of one card package = $10.50
Price of x card packages = 10.50x
The equation for amount y left after purchasing x card packages
y = 50 - 10.50x
The required equation for amount left can be given as y = 50 - 10.50x.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ2
I need help with these two last questions
Answer:
1.42
Step-by-step explanation:
1.4166666666667
1.416666666667
1.41666666667
1.4166666667
1.416666667
1.41666667
1.4166667
1.416667
1.41667
1.4167
1.417
1.42
Step-by-step explanation:
1.4166666666667
=1.42
because the 6 is more than 5 you will make it 1 and then add to the 1
What is the sum of just the fraction parts of 1 5/8 and 1 6/8?
Answer:
Just the fraction parts: 11/8 or 1 3/8
Step-by-step explanation:
1 5/8 + 1 6/8 = 3 3/8
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.
Remove the parentheses and combine the like terms:
7 - -9 = 7+ 9 = 16
6i - -8i = 6i +8i = 14i
The answer is 16 + 14i
14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
Read more about commission at
https://brainly.com/question/26283663
#SPJ1
Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.
in each of the following cases, you are given a set of numbers. in each case, determine whether this set of numbers can be a domain of convergence for a power series. if it cannot, explain why it cannot. if it can, give an example of a power series that has this set as its domain of convergence.
a. [-1,3)
b. (-1,3)
c. (-1,3]
d. [-1,3]
The possible domain of the convergence are b. (-1,3) and c. (-1,3]
Domain of convergence.
In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.
Given,
Here we need to identify in which of the options are domain of convergence.
As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).
So, the possible convergence in the given options are (b) and (c).
To know more about Domain of convergence here,
https://brainly.com/question/15415793
#SPJ4