There will be 6 two-digit numbers having an odd number of factors.
According to the question,
We have the following information:
There are two-digit numbers.
It means that the list of numbers is from 10 to 99.
Now, we have to find the numbers with the odd number of factors.
We know that odd numbers are the numbers which are not divisible by 2. For example, 1, 3, 5, etc. are odd numbers.
Note that 1 is also included as a factor.
Now, the numbers with odd number of factors will be the perfect squares as 1 will be added to them and the numbers will become odd.
So, the perfect two-digit square numbers are 16, 25, 36, 49, 64 and 81.
Now, we can prove that these numbers satisfy the given conditions by taking factor of any one number.
Let's take 25. The factors of 25 are 1, 5, and 5. So, in total there are 3 factors.
Hence, there are 6 two-digit numbers having an odd number of factors.
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2m ÷8m in standard form
Answer:
1/4
Step-by-step explanation:
2m/8m = 1/4
Answer:
1/4
Step-by-step explanation:
2m ÷8m
Divide
2m
----
8m
Cancel like terms
2
---
8
Divide the top and bottom by 2
2/2
------
8/2
1
-----
4
Which of the following is a 90° counterclockwise rotation of Figure M?
Figure A
Figure B
Figure C
Figure D
Answer:
A 90-degree CCW rotation will take the points to the left. of the rotational point.
As you have provided no picture to show Figure M and its image rotations, this is as far as I can provide an answer.
Hope that helps
the length of two sides of the right triangle ABC shown in the illustration are given. I have to find the length of the third side in centimeters. a= 7 cm and b= 24 cm
we have that
Applying the Pythagorean Theorem
c^2=a^2+b^2
substitute given values
c^2=7^2+24^2
c^2=49+576
c^2=625
c=25 cmis 0.4141... a rational number or an irrational number?
Rational number
Step-by-step explanation:it repeats - { 4 1 4 1 }it is both non-terminating and repeating.Answer:
It is rational, as it is both non-terminating and repeating.
hope it helps :D
what is the slope when the pairs are (-1, -7) And (3, 9)
Answer:
Please see photo for explanation and answer.
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Step
Ren’s work
Step 1
Two-thirds x less-than 36
Step 2
x less-than 54
Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.
Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found
Answer: Ren first make a mistake in his work at step 1
Step-by-step explanation:
Step 1 : 2x/3 < 36 Step 2 : x < 54Step 3 :
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3 > 36 as more than 36 employees stated their preference hence 2x/3 must be greater than 36
Answer: Its a correct me if i'm wrong
Step-by-step explanation:
PLS HELP 10 points plsssss now
Answer: Alternate interior angles and congruent angles.
Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.
(I’ve also attached a helpful image from the web!)
Maria has $40, which is 170% of the amount that Kelly has. How much money, in dollars, does Kelly have?
Answer:
Step-by-step explanation:
I haven't done percentages in a while but the answer after I did it would 15 dollars from where I rounded it. You multiply 15 by 270% which is 2.7 and that's the closest to 40. So Kelly would have 15 dollars.
(Fact check me math people)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-20y=40
The equation of a line into slope-intercept form is represented as:
y = mx + c
where m = slope of the line
c = y-intercept of the line
On simplifying 8x - 20y = 40, the equation will be:
⇒ 2 (4x - 10y) = 2 (20)
⇒ 4x - 10y = 20
⇒ 2x - 5y = 10
⇒ 2x - 10 = 5y
⇒ 5y = 2x + (-10)
⇒ y = 2x/5 + (-10/5)
⇒ y = 2x/5 + (-2)
The slope of this line = 2/5
y-intercept of the line = -2
What is the Slope of a Line?A line's steepness is based on its slope. The slope is m in the equation y = mx + b, which is the common equation for a line. Additionally, it is frequently referred to as "rise over run," which indicates how much the y-value changes as the x-value changes.When a line advances from left to right and has a positive slope, the line rises (slopes up). When a line moves from left to right and has a negative slope, it descends (goes down).A line's slope can be determined by selecting two points from the line's graph and then providing the line's graph as input.The simplest method for doing this is to choose 2 locations on the line with integer coordinates, then add up the changes in x and y.To learn more about the Slope of a Line, refer to:
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4 = -(x + 3) implemented as a real life problem
Answer all questions.
1. Slope of the line is: c. -3/2.
2. (4, 0) lies on the line.
3. The angle relationship is congruent angles.
4. x = 19
5. m<A = 39
6. The angle relationship is corresponding angles.
7. a. congruent angles.
8. x = 12
9. m<A = 72°
10. m<B = 43°
What is the Slope of a Line?The slope of a line = change in y/change in x
What are Angle Relationships?Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.
1. Slope of the line that passes through (-7, 3) and (-5, 0):
Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2
Slope (m) is: c. -3/2.
2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:
(4, 0)
3. The angle relationship is congruent angles.
4. 39 = 2x + 1
39 - 1 = 2x
38 = 2x
38/2 = x
x = 19
5. m<A = 2x + 1 = 2(19) + 1
m<A = 39
6. The angle relationship is corresponding angles.
7. They are: a. congruent angles.
8. 38 = 3x + 2
38 - 2 = 3x
36 = 3x
36/3 = x
x = 12
9. m<A = 180 - 108 [supplementary angles]
m<A = 72°
10. m<B = 180 - 65 - 72
m<B = 43°
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help i need the answer quick
Answer:
First and Third
Step-by-step explanation:
The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4
One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important
If it is a filled circle it denotes a ≤ (or ≥) inequality
If it is an unfilled (hollow) circle it denotes a < (or >) inequality
Looking at the second graph we see that
f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle
Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle
A similar situation applies to the fourth choice and you should be able to figure that out yourself
The different between the upper class limit and lower class limit is called width of the class intervals true or false
The given statement "The different between the upper class limit and lower class limit is called width of the class intervals" is True
In the frequency distribution, define the class limits.Frequency distributions should normally contain 5 to 20 equal-width classes, be continuous, exhaustive, and mutually exclusive.
Clarification of the quoted phrase,
The breadth or size of the class interval in a frequency distribution table is the distance between the upper and lower class limits.
A class interval, for instance, is any of the groups 20–25, 25–30, 30-35, etc. There is a five-point spread between the upper and lower limits. the class width is therefore 5.
As a result, the assertion is true.
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20 rabbits are captured and marked. two weeks later, 12 rabbits are recaptured. of these 12 only 5 are marked. what is the estimated population? show all work for credit.
The estimated population is found to be 48 rabbits
The estimated population, P is determined by using the following formula:
[tex]P=T_{F} *T_{L} /M[/tex]
P=estimated population
[tex]T_{F}[/tex]=total animals captured in first trapping
M=recaptured animals that are marked
[tex]T_{L}[/tex]=total animals captured in a later trapping
From the question, [tex]T_{F}[/tex]=20 rabbits, M=5 rabbits, [tex]T_{L}[/tex]=12
P=20*12/5
P=240/5
P=48 rabbits
Hence, the estimated population is 48 rabbits
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What is the equation of the line that passes through the point (−3,−6) and has a slope of -2/3
Answer:
y = -2/3(x) - 8
Step-by-step explanation:
y = mx + b
y = -2/3(x) + b
given: (-3, -6) x=-3 y=-6
-6 = -2/3(-3) + b
-6 = 2 + b
b= -8
so..
y = -2/3(x) - 8
Determine the parent function.
Answer:
Determine the Parent Function: y=√x
I verified with a graphing calculator: Demsos. y=x^3 will cross intercepts (x) which is not the parent function and y=1/x is a rational function that is not the parent function that is being asked for.
A family took a road trip it takes 1/4 tank of gas to travel 1/5 of the total distance at this rate,What fraction of the total distance can the family travel using tmp tank of gas.
HELP ME PLEASE DONT MIND THE DRAWING
1. Point slope form
2. y = -2x + 25
The formula for point slope form is:
y − y1 = m(x − x1), which is exactly what y-7=-2(x-9) is, as y1 is 7, m is -2 and x is 9.
To get this into slope intercept form, we have to solve for y/ isolate it.
y - 7 = -2 (x-9)
First, distribute the -2.
y - 7 = -2x + 18
Then add 7 on both sides to get rid of the -7.
+ 7 + 7
y = -2x+25
Solve for a10a7a =✓ [?]Pythagorean Theorem: a b = c2
In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:
[tex]h^2=l^2_1+l^2_2[/tex]In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:
[tex]\begin{gathered} 10^2=a^2+7^2 \\ 100=a^2+49 \\ a^2=100-49 \\ a^2=51 \\ a=\sqrt[]{51} \end{gathered}[/tex]So the value of 'a' is √51.
Tamia has owned a pet-sitting business for several years. The majority of clients hire her to take care of either cats or fish while they travel.
Define the random variables C = the number of cats Tamia takes care of in a typical week and
F = the number of fish Tamia feeds in a typical week. Their probability distributions and parameters can be found here.
Let T = the total number of cats and fish that Tamia takes care of in a typical week.
1. Find Mu Subscript T
Mu Subscript T =
pets
2. Calculate Sigma Subscript T
Sigma Subscript T =
pets
Answer: C
Step-by-step explanation:
answer for the first one is 3.55 pets
second one is 1.4790 pets
i hope this helped! :)
If p = 10^m, q = 10^n and p^n*q^m = 100 then prove that mn=1
Answer:
Step-by-step explanation:
[tex]\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1[/tex]
Giorgio used all the vegetables shown in the table above for his dinner.
a. How much money did his meal cost?
Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.
As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.
We are required to calculate how much does Gorgio's dinner meal cost.
To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.
That is, Gorgio's meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)
= $4.45
Amount: In Mathematics, amount generally refers to the summation or adding up of two or more quantities, particularly the quantity being money.To learn more about Amounts, totals and prices, click on the link below.
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What is the reciprocal number of 1 1 9?
Answer:
1/119
Step-by-step explanation:
119 is a whole number which you convert into 119/1 then the reciprical would be 1/119
4.
This figure is made from a part of a square and a part of a circle
8
4
unit?
a
What is the perimeter of this figure, to the nearest sind?
What is the area of this figure, to the nearest square
A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.
Given that,
A portion of a square and a portion of a circle were used to create this figure.
We have to find the perimeter of the figure.
Three linear sides are measured in units of 4, 8, 8, 4.
Radius of the circular part = 4 units
Measure of a polygon's circumference equals the polygon's perimeter.
From the figure we can see,
Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.
Measure of linear sides = 4 + 8 + 8 + 4 = 24 units
Circumference of the quarter circle = 1/4(2πr)
=1/2×π×4
=2×π
=2×3.14
=6.28 units.
Perimeter of the figure is 30+6.28
=36.28 units.
Therefore, the perimeter of the figure is 36.28 units.
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DeShawn ran 40.7 miles less than Mark (m) last week. DeShawn ran 9.3 miles. How many miles did Mark run? Do not include spaces in your answers. 20 points!!!
The number of miles that Mark ran was 50 miles.
How do we get the number of miles that Mark ran?We can get the number of miles that Mark runs by first assigning him the figure x.
Since DeSahwn ran 40. 7 miles less than Mark, we can express this thus:
x - 40. 7 miles.
If the number of miles that DeShawn ran was 9.3 miles we can factor that into the equation as follows:
x - 40. 7 miles = 9.3 miles
x = 9.3 + 40.7
x = 50 miles.
Therefore, the total number of miles that Mark ran was 50 miles.
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Has a slope of 4/5 and passes through point (-5,12)
Write equation in point slope form.
Answer:
y = (4/5)x + 16
Point-slope form:
y - 12 = (4/5)(x + 5)
Step-by-step explanation:
slope = m; (-5, 12)
m = (4/5) (x₁, y₁)
y - y₁ = m(x - x₁)
y - 12 = (4/5)(x - (-5))
y - 12 = (4/5)(x + 5)
y - 12 = (4/5)x + 4
+12 +12
--------------------------
y = (4/5)x + 16
I hope this helps!
find the areas of the figures below. can you find more than one method for each shape. a. 14m
5m
5m
3m
Answer:
points
Step-by-step explanation:
dunno gl
Translate the sentence into an inequality.
The product of y and 5 is greater than or equal to - 20.
The product of y and 5 is greater than or equal to - 20 is 5y ≥ -20
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the product of y and 5 is greater than or equal to - 20 will be:
(5 × y) ≥ -20
5y ≥ -20
This is the inequality.
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Can you please give me the name of the Math book that has this problem solving question below?
Nick's bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance
Answer:
not sure but I know the answer
Step-by-step explanation:
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Matilda leaves work at 18:00. She drives 42 kilometres from
work to home at an average speed of 56 km/h.
What time does Matilda arrive home?
Give your answer using the 24 hour clock
Matilda arrives home at 18.45 after driving 42 kilometers from her workplace at an average speed of 56 km/h.
How is the time determined?The time Matilda uses to drive home from her workplace is a function of the distance she travels and the average speed she goes.
Using the above formula gives us the time in hours/minutes that she took for the home drive.
This derived time is then added to the time she leaves her workplace to get the time she arrives home using the 24-hour clocking system.
The time Matilda leaves her workplace = 18:00
The total distance Matilda travels from work to her home = 42 km
The average driving speed that Matilda traveled with = 56 km/h
Time used for driving home (in hours) = Distance/Speed
= 42/56
= 0.75 hours
= 45 minutes (0.75 x 60)
Arrival Time = 18:45 (18:00 + 45)
Thus, using the 24-hour clocking system, the time Matilda is expected to reach her home is 18:45.
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