Answer:
It can never be a prime number.
Step-by-step explanation:
This is because the product of the two prime numbers are divisible by those two numbers, therefore going against the definition of a prime number. For example 3 and 5 are prime numbers and their product is 15. 15 can be divided by 3 and 5 so it is not a prime number.
Hope this helps.
how to Write 2 3/5 as a single fraction greater than one
Answer:
13/5
Step-by-step explanation:
Multiplying 5 and 2 and adding to 3 will give u the new numerator
Answer:
13/5 or 2.6
Step-by-step explanation:
2 3/5
2×5=10
10 + 3= 13
Put it in top of your original denominator
13/5 or 2.6
Jasmin's dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin's dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks [Math Processing Error] x for which her dog can be at a healthy weight.
You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.
If she diets more, she will still be healty because you need 40 or less pounds to be healty.
This sentance is extra but why are 0 pounds healthy?
in the given image 01 equals 02 and the angles are measured in radians which of these are true
A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.
What is a radian?Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.
A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:
= (Degrees × π) / 180°
For example 60° will be:
= (60° × π) / 180°
= π/3
Therefore, 60° converted to radians is π/3.
Learn more about radian on:
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Find the value of the variable in the parallelogram.
RZ = 4x + 2
SW=9x - 8
X=
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.
The diagonals in a parralelogram bisect each other.
The diagonals in a rectangle are congruent.
[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]
[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]
If two equations are 3x + 2y = 14; 5x + 3y = 12, then the value of
5x – y is
Answer:
-124
Step-by-step explanation:
3x + 2y = 14 (×3) → 9x + 6y = 42
- → x = -18
5x + 3y = 12 (×2) → 10x + 6y = 24
3(-18) + 2y = 14
-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34
5x - y = 5(-18) - 34 = -90 - 34 = -124
help please
i already know that g is not the answer
Answer:
The answer is H.
SLOPE CAN BE FOUND BY: Decrease(negative) and rise/run equation.
Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.
What is 5 to the power of 3 divided by 5 to the power of 6?
Answer:
1/5³ = 1/125 = 5⁻³
Step-by-step explanation:
It can be useful to remember that an exponent signifies repeated multiplication.
5^3 = 5×5×5
5^6 = 5×5×5×5×5×5
Then the ratio is ...
[tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]
__
If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...
[tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]
The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:
[tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]
_____
Additional comment
These ideas are formulated as the rules of exponents:
(a^b)/(a^c) = a^(b-c)1/(a^b) = a^-bthe sum of two numbers is 24 and their quotient is 5
Answer:
X=20
24-x=24-20=4
Step-by-step explanation:
First number (greater number)= X=20
Second number = 24-x =24-20=4
The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared. B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet. C. The solution t = 5 is the only valid solution to this system since time cannot be negative. D. Both are valid solutions to this system since both values make the equation h=−16t^2+ 48t + 210 true.
Given:
The height h of an object after t seconds is
[tex]h=-16t^2+48t+210[/tex]
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
[tex]h=-16t^2+48t+210[/tex]
Here, t is the time in seconds.
For t=-2,
[tex]h=-16(2)^2+48(-2)+210[/tex]
[tex]h=-64-96+210[/tex]
[tex]h=50[/tex]
For t=5,
[tex]h=-16(5)^2+48(5)+210[/tex]
[tex]h=-400+240+210[/tex]
[tex]h=50[/tex]
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional deposits or withdrawals. At the end of 3 years, the account balance was $12,324. What is the annual interest rate on this account? 0. 9% 1. 8% 2. 7% 3. 6%.
The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{PRT}{100}[/tex]
Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).
Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.
The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,
[tex]I=12324-12000\\I=324[/tex]
Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,
[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]
Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.
Learn more about the simple interest here;
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What is the area of a circle with a radius of 12 feet?
Answer:
[tex]144 \times \pi = 452.38[/tex]
Answer:
144π ft² or approximately 452.16 ft²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.
Approximation of Pi:
[tex]3.14 *12^2[/tex] [tex]3.14*144[/tex] [tex]452.16[/tex] 452.16 ft²In terms of Pi:
[tex]\pi *12^2[/tex] [tex]\pi *144[/tex] [tex]144\pi[/tex] 144π ft²
A 9m ladder is placed against a wall.
The foot of the ladder is 1.5m from the foot of the wall.
How far up the wall does the ladder reach?
any help would be appreciated
Answer:
b=8.9m
Step-by-step explanation:
you would need to use Pythagoras theorem
a²+b²=c²
as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation
b²=c²-a²
b²=9²-1.5²
b²=81-2.25
b²=78.75
b=√78.75
b= 8.9m (1DP)
please solve quickly
Answer:
x=12
Step-by-step explanation:
AB/FE=BC/EC
x/6= 5+5/5
x/6=10/5
x=6(2)
x=12
~
please help me out herreeeeeee
Answer:
10/21
It cant be broken down anymore so it is simplified!
Have a great day!!
Please rate and mark brainliest!!
What are all the statistical questions?
Please ANSWER NOW, PLEASE HELP , for math 100 points!!!
Caution:-
Calculated approximate values as we can't use ruler in screen !
As
1/2in=4ft1in=8ft#1
Sides are
6in3in7in4inPerimeter=20in=20(8)=160ft
#2
Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft
#3
Width:-
2in2(8)16ftLine segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
A.
21.1 units
B.
20.8 units
C.
13.9 units
D.
12.5 units
Answer:
20.8
Step-by-step explanation:
I am confused plz help
Answer:
free points or nah if not its A
2. The length of a rectangular garden is
twice its width. If the given perimeter
is 72 m, calculate the width and area of
the rectangle.
cimeter
722
A 2-column table with 9 rows. The first column is labeled year with entries 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. The second column is labeled pounds of trash with entries 3. 25, 3. 25, 3. 66, 3. 83, 4. 57, 4. 52, 4. 74, 4. 69, 4. 44. The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth. Median = Mean =.
The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:
Mean ≈ 4.1 poundsMedian = 4.44 How to find mean and median of a data?Mean is the ratio of sum of the observations to the total number of observations.
Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
For the given case, the data observations are:
3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )
They are total 9 observations.
Their sum is 36.95 approx.
Thus, mean of this data set = sum/number of observations [tex]\approx 36.95/9 \approx 4.1[/tex]
Arranging the data in ascending order gives
3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74
There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.
Thus, median of the data set = 4.44
Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:
Mean ≈ 4.1 poundsMedian = 4.44Learn more about mean and median here:
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Mai is filling her fish tank. Water flows into the tank at a constant rate.
Do not include units (gallons) in your answer.
I got 25 and 40 but I looked it up how do you get that answer
Jared and maila will usually both run 3 miles each time they go running .This month,jared ran an additional 21 miles. Which answer choice shows an expression that represent the total distance jared and malia ran this month if j=the number of time that jared ran and m=the number of times that malia ran?
Answer:
Total = m + j
= 3 + m + 21
Step-by-step explanation:
Mails = 3 miles
Jared = 3 miles + 21 miles
j = m + 21
m = 3
Total = m + j
= 3 + m + 21
Where,
m = 3
Total = 3 + m + 21
= 3 + 3 + 21
= 27
WILL GIVE BRAINLIEST TO RIGHT ANSWER!!1
850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.
No participation: 102 students
Only one sport: 357 students
Two Sports: 238 students
Three of more sports: 153 students
Answer:
No Participation: 102 students
Only One Sport: 357 students
Two Sports: 238 students
Three or More Sports: 153 students
Step-by-step explanation:
The percentages represent parts of the total.
To calculate the number of students, we would need to take a percentage of the total.
So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.
To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.
The No Participation group would then be 0.12 × 850 which equals 102.
The 1 sport group would be 0.42 × 850 = 357
The 2 sport group would be 0.28 × 850 = 238
And the 3+ sport group would be 0.18 × 850 = 153
What is the slope of the line on the graph ? I’ll give you a like for answer plus I suck at math also this is k12 answer
Answer:
m= [tex]-\frac{1}{3}[/tex]
Explanation:
Formula is Y=mx+b
m equals the slope (rise/run each point).
x stays for an ongoing function.
b is the y intersect(You'll see that the line crossed +4 on the vertical line).
Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.
[tex]y=-\frac{1}{3}x+4[/tex]
That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]
A line with slope 4 contains the point (4,-4). What is the y-intercept of this line ?
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Answer:
-4
Step-by-step explanation:
pls help!! it's due in an hour!!
find the area of the circles
Answer:
7) 28.27 cm²
8) 63.62 ft²
9) 113.10 in²
Step-by-step explanation:
You want the areas of the circles with the given diameters.
AreaThe area formula for a circle is usually written in terms of the radius of the circle. Since the diameter is given, we can rewrite the formula to make use of the diameter:
A = πr²
A = π(d/2)² . . . . . . . use d/2 for r
A = (π/4)d² . . . . . . . collect constants
Application7) Diameter = 6 cm; Area = (π/4)(6 cm)² = 9π cm² ≈ 28.27 cm²
8) Diameter = 9 ft; Area = (π/4)(9 ft)² = 20.25π ft² ≈ 63.62 ft²
9) Diameter = 12 in; Area = (π/4)(12 in)² = 36π in² ≈ 113.10 in²
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solve for r. 1 + 3r > 10
Answer:
r >3
Step-by-step explanation:
1 + 3r > 10
Subtract 1 from each side
1-1 + 3r > 10-1
3r > 9
Divide by 3
3r/3 > 9/3
r >3
This is geometry II B and i need help on all of them pls?
Answer:
9) 5.8
10) 27.9
11) 37.1
12) 16.8
Step-by-step explanation:
For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).
For 9, you have one side 15 and one angle 21 degrees. We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"
We then evaluate tan21=x/15.
1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.
2) Use a calculator to get the answer 5.8 (5.7579..)
For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"
We then evaluate cos47=19/x.
1) To get rid of the fraction multiply x on both sides to get x*cos47=19.
2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21
3) Use a calculator to get the answer 27.9 (27.8593...)
For 11, refer to how I did question 9 on how it's tan68 = 15/x.
Then refer to question 10 on what to do if x is the denominator (isolate the x).
You should end up with x=15/tan68 which is 37.1 (37.1263...)
Finally for 12, it's the same but for sine (sin=opp/hyp).
You should get that the opp=15 and hypo=x.
That means sin63=15/x which is then x=15/sin63
Answer is 16.8 (16.834...)
Help right away ASAP only right answers
Answer:
- 20/21
Step-by-step explanation:
Calculate the product
5/6 x (-8/7)
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-5/6 x 8/7
Reduce the number with the greatest common factor 2
-5/3 x 4/7
Multiply the fractions
-20/21
Solution
-20/21
Alternate form
- 0.952380
Answer
Simplify the expression.
Exact Form:
−20/21
Decimal Form:
−0.952380
Step-by-step explanation:Please mark as brainliest!
I'm not sure if I'm right on this though
the price of a scooter decreased from ₹40000 to ₹35000. the percentage decrease is
Answer:
12.5%
Step-by-step explanation:
40000-35000=5000
5000/40000*100=12.5%
the answer to this question is is 12.5%.