The numbers which have only two factors either 1 and the number itself are called prime numbers.
What is prime numbers?Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number
Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
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A pharmaceutical sales representative makes a base salary of $68.400 per year. In addition, she can earn an annual bonus of up to $20,800 if she meets her prescription targets for the two medications she sells. She receives 60% of the bonus if she meets her target for Medication A, and she receives 40% of the bonus if she meets her target for Medication B. If she only meets her target for Medication A, what would her total compensation (salary plus bonus) be for the year? )
Answer:
If the pharmaceutical sales representative meets her target for Medication A, she will receive 60% of the $20,800 bonus, or $12,480. When added to her base salary of $68,400, her total compensation for the year would be $80,880.
Step-by-step explanation:
Answer:
The total would be 99,620
Step-by-step explanation:
29400*0.80=23520
Add the amount to the base salary
76100+23520=99,620
can you pls help me with this?☺️
thank you ☺️
12. MORT
13. MNR
14. SDT
15. MOSR
About 25% of the students in Mr. Goodman's class got an Aon their last math test. Of those, 50% are girls. The class has 12 girls and 16 boys. Is it
reasonable to say 6 girls got an Aon the test?
A No, because 6 is not 25% of 28.
O
B. No, because 6 girls is 50% of all the girls in the class, and not all of the girls got A's.
O
C. Yes, because 50% of 12 is 6.
D
Yes, because more girls than boys got A's.
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Find the scale factor
Answer:
Your scale factor would be 2
Step-by-step explanation:
I really hope this helps! :)
Please help giving brainliest please
Answer:
$87025
Step-by-step explanation:
Net worth is assests minus liabilities
IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points
Answer:
56
Step-by-step explanation:
So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).
Hope this helps !!
-Ketifa
If the volume of the pyramid is 72 cm, what is its height in cm?
4 cm
6 cm
3
9
оооо
12
18
Step-by-step explanation:
[tex]v = 4 \times 6 \times x \\ 72 = 24x \\ x = 3[/tex]
Answer:
9
Step-by-step explanation:
It is possible none of the choices is the solution?
If I’m wrong, then which one is the correct answer?
Answer:
b is the correct answer!!!
Step-by-step explanation:
The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the vertex to the center of the base is the axis of the cone.What is the length (in centimeters) of the axis?
9514 1404 393
Answer:
6√5 ≈ 13.42 cm
Step-by-step explanation:
The axis, a radius, and the edge marked 12 cm together form a right triangle, of which the axis is the hypotenuse. The Pythagorean theorem applies.
6² +12² = axis² = 180
axis = √180 = 6√5 ≈ 13.42 . . . cm
The length of the axis is 6√5 cm, about 13.42 cm.
what is the inverse matrix that can be used to solve this systems of equations
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
help please!
researchers surveyed recent graduates of two different universities about their income. the following two way table displays data for the sample of graduates who responded to the survey.
how many graduates from university a had an income under $20,000?
The numbers shown on the chart are the number of students for each category.
Looking at the line for Under $20,000 find the number located under University A.
The number located under University A for under $20,000 is 35
The answer would be 35
Answer:
right answer is 160/300
Step-by-step explanation:
Six bottles of water cost £2.10. How much does one bottle of water cost?
what is the answer to 10x−10=55
Answer:
6.5
Step-by-step explanation:
10x = 65
x = 65/10
x = 6.5
Answer:
x=6.5
Step-by-step explanation:
So our equation is:
10x-10=55
The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:
10x=65
Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:
x=65/10
=
x=6.5
So your answer is 6.5
Hope this helps!
please help this is all my points. brainliest, please someone.
Quadrilateral ABCD has coordinates A (−2, 5), B (3, 5), C (3,−1 ), and D (−2,−1).
What is the length of side BC¯¯¯¯¯?
4 units
5 units
6 units
7 units
Answer:
6 units
Step-by-step explanation:
Sqrt((-1-5)^2-(3-3)^2)
Mr. Jensen purchased a condo several years ago at a selling price of $295,420. Recently it
was appraised at a value 36.4% lower than that. What is the value of the condo now?
Roun
Answer:
The value of the condo was appraised at 36.4% lower than the selling price, which means it is now worth 100% - 36.4% = 63.6% of the selling price.
The selling price of the condo was $295,420, so the value of the condo now is $295,420 * 63.6% = $<<295420*0.636=188382.72>>188,382.72.
Therefore, the value of the condo now is $188,382.72.
Step-by-step explanation:
What does (AM) represent to segment [BC]? Justify.
AM is a perpendicular bisector of BC.
What is a bisector example?A ray that divides an angle into two equal parts is known as an angle bisector or the bisector of an angle. For instance, each measurement will be equal to 30 degrees if ray AX divides an angle of 60 degrees into two equal parts. There is an angle bisector for each angle.
A line's bisector is defined.To divide a segment or an angle into two congruent parts is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.
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an altitude is drawn from the vertex of an isosceles triangle forming a right angle and two congruent triangles. as a result, the altitude cuts the base into two equal segments. the length of the altitude is 30 inches, and the length of the base is 10 inches. find the triangles perimeter. round to the nearest tenth of an inch.
The perimeter of the isosceles triangle with altitude 30 inches and base 10 inches is calculated to be 70.82 inches
How to find the perimeter of the isosceles trianglePerimeter of a triangle refers to the surface dimensions, this is calculated by the formula
Perimeter, P = a + b + c
where
a, b, c are sides of the triangle
The third side of the triangle will be calculated using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
The right triangle consist 1/2 the isosceles triangle base = 5 inches and the altitude = 30 inches
plugging the values as in the problem
let x be the required distance
x² = 30² + 5²
x² = 900 + 25
x² = 925
x = √925
x = 30.41 inches
Perimeter of the isosceles triangle
= 30.41 + 30.41 + 10
= 70.82 inches
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PLEASE HELP ME 2 QUESTIONS ARE LISTED DOWN BELOW
A) The linear equation is:
y = (3/4)*x + 3
B) The sets with only positive elements are:
{x| x ∈ N}{y| 0 < y < 1}{y| 3 ≤ y ≤22}How to write the linear equation?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here, we do know that the y-intercept of the linear equation is (0, 3), then we know that b = 3.
Then the line is something like:
y = a*x + 3
We also know that the line passes through (-4, 0), then we can replace these values in the equation above to get:
0 = a*-4 + 3
4a = 3
a = 3/4
Then the linear equation is:
y = (3/4)*x + 3
In which sets all the numbers are positive?The sets where all the numbers are positive are:
{x| x ∈ N}
Where N is the set of the natural numbers, these are all the integers equal to or larger than 1, so all are positives.
{y| 0 < y < 1}
There we can see that y must be larger than zero, so all the elements are positive.
{y| 3 ≤ y ≤22}
Here the elements are between 3 and 22, so all of these are positve.
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The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper
Answer:
5,530.49[tex]inches^{2}[/tex]
Step-by-step explanation:
4.1x4.1=16.81
16.81x329
Help plz:)))I’ll mark u Brainliest
Answer:
8times 10 times 4 divided by 2 pplus 8 times 8 equals 64 + 80 = 144 m squared
Step-by-step explanation:
Answer:
Step-by-step explanation:
a simple l cell organism divides in to 3 identical cells every 20 minutes, how many organisms will there be after 8 hours.
Step-by-step explanation:
Let’s see … one division every 20 minutes? That would be like <grinding noise> three binary doublings per hour, right? Now for the tough part … three doublings per hour, for eight straight hours? <more grinding noises> … Is that even mathematically possible? After much thinking, I decide that the total number of binary doublings has to be in the neighborhood of no less than eight times three!
Would you believe that 224=16777216 ? While mathematically true, it is not the answer to the posted question… Since we started at 0 minutes, there are only 23 buddings inside eight hours … so the answer has to be 223=8388608 , right?
Wrong again, this time forgetting all about the newlybud bacteria generations, that all go on budding side by side of their ancestors …
Now that you’ve caught on to the basic idea, I leave it to you to figure out the real answer! Keep in mind that after 20 minutes, you have two budding bacteria to reckon with, for 440 minutes … after 40 minutes another two (for 420 minutes), and so on, down the line.
Hint: the answer still is not 16777216 …
Answer:
after 1 division,there is 3 cell
after 2 divisions,there is 9 cell.
after 3 divisions,there is 27 cell
The above data takes the form of Geometric sequence.
3,9,27......,last term
here,Common ratio(r)=9/3=27/9=3
and,first term(a)=3
Let, n be the no.of divisions.
then, n=8 hrs/20 min=480 min/20min=24
Now,from the G.S,
last term=ar^n-1
=3×3^24-1
=9²³
Hence,9²³ organisms will there be after 8 hours
It can be written as 8.86293812×10²¹ as well
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Eddie plotted his house on a coordinate plane, along with a few landmarks from his neighborhood.
Which of the following is located 4 blocks east and 5 blocks south of Eddie’s house? A. baseball field B. fountain
6 x 2 x 3 = 36
C. library D. school
Answer:
library
Step-by-step explanation:
Answer:
library
Step-by-step explanation:
3. Function G is defined by the equation G(x) = [x].
Function R is defined by the equation R(x) = x/+2.
Describe how the graph of function R relates to the graph of G, or sketch the graphs
of the two functions to show their relationship.
Answer: The function G(x) = [x] returns the greatest integer less than or equal to x. This means that for any value of x, G(x) will be the largest integer that is less than or equal to x. For example, G(3.5) = 3 and G(5) = 5.
The function R(x) = x/+2, x is any real number, this function returns the value of x incremented by 2. In other words, it is the result of adding 2 to x.
On the other hand, the graph of R(x) is a line that goes through the point (0, 2) and has a slope of 1, this means that for every change of 1 unit in the x-axis, the y-axis will change by 1 unit as well.
When we compare the two graphs, we can see that the graph of R(x) is shifted up 2 units from the graph of G(x) . If the graph of G(x) is thought of as the "ground", the graph of R(x) is "floating" two units above it. Also, the graph of R(x) is continuous while the graph of G(x) is not.
To sum up:
-The graph of G(x) is a step function, which start at the negative infinity and jumps up to the next integer at every point.
The graph of R(x) is a line that goes through the point (0, 2) and has a slope of 1
-R(x) is always two units above G(x) , and is a continuous function, while G(x) is not.
Step-by-step explanation:
In triangle ABC, angle A is 37° and angle B is 24*. Select all triangles which are similar to triangle ABC.
D triangle DEF where angle Dis 37° and angle E is 24
• triangle GHI where angle G is 37" and angle I is 34°
O triangle JKL where angle J is 35" and angle L is 125*
• triangle MNO where angle Nis 24* and angle E is 119
O triangle POR where angle O is 24° and angle R is 30
Answer:
Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.
Step-by-step explanation:
•Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.
•The Triangle GHI is not similar to triangle ABC because the measure of angle G does not match the measure of angle A.
•The Triangle MNO is not similar to triangle ABC because the measure of angle N does not match the measure of angle B.
• The Triangle POR is not similar to triangle ABC because the measure of angle R does not match the measure of angle A or B.
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A sphere is inscribed in a cube with a volume of 8. cubic yards. What is the surface area of the sphere?
Answer:
64
Step-by-step explanation:
The surface area of the sphere is 12.56 yd².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a sphere is inscribed in a cube with a volume of 8. cubic yards. We need to find the surface area of the sphere,
Since the sphere is inscribed in the cube therefore the diameter of the sphere is equal to the side length of the cube,
Now, finding the side length of the cube,
We know volume of a cube = side³
Therefore,
side³ = 8
side = 2 yd
Therefore,
Diameter of the sphere = 2 yd
Radius = 1 yd
The surface area of the sphere = 4 × π × radius²
= 4 × 3.14 × 1²
= 12.56
Hence the surface area of the sphere is 12.56 yd²
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Question 2: In a dental clinic with one dentist, the average number of patients from
time to time is 2. What is the dentist's expected idle time each day?
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
Find x. Simplify completely. 16 4 and x , can someone answer ASAP!!
Answer:X=8
Step-by-step explanation: I just did a exam that answer is x=8 :))
Help
12. A scale model of a cell tower is shown below.
The model was built using a scale in which 2 inches represents 10 feet. What is the actual height of the cell tower?
Answer:
180 ft
Step-by-step explanation:
If the height is 36 inches, and two inches represents 10 feet, then there are 18 sets of ten feet on the actual tower, if that makes sense. That means that the actual tower is 180 feet tall.
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7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
[tex] \frac{7 }{4x + 3y} + \frac{4}{4x - 3y} = \frac{5}{4} \\ \frac{8}{4x - 3y} - \frac{14}{4x + 3y} = \frac{3}{2} [/tex]
9514 1404 393
Answer:
(x, y) = (4, 4)
Step-by-step explanation:
If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...
7a +4b = 5/4
8b -14a = 3/2
where a = 1/(4x+3y) and b = 1/(4x-3y)
Dividing the second equation by 2 and adding the first, we have ...
(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)
8b = 8/4
b = 1/4
Substituting into the first equation gives ...
7a +4/4 = 5/4
a = 1/28
__
Now, we can get back to solving for x and y.
4x +3y = 1/a = 28
4x -3y = 1/b = 4
8x = 32 . . . . . . . . . add the two equations
x = 4
3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange
y = 4 . . . . divide by 3
The solution to the system of equations is (x, y) = (4, 4).
_____
Additional comment
If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.