The number 123 because it is the only number that is not divisible by 9.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
A digit is a part of a set that, when combined, makes up a numeration system.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
Given the digits,
36, 99, 9, 123
If we divide by 9 then
36/9 ⇒ remainder 0
99-9⇒ remainder 0
9 ⇒ remainder 0
But
123/9 ⇒ remainder 6
Hence "The number 123 because it is the only number that is not divisible by 9".
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NEED SOMEONE WITH BIG BRAINS
Imagine we have a piece of string 25,000 miles long, just long enough to exactly circle the globe at the equator. We take the string and fit it snugly around the equator, over oceans, deserts and jungles. When we have completed our task, we find that the string is just one yard too long. To overcome the error, we decide to tie the ends together and to distribute the extra 36 inches evenly over the entire 25,000 miles, figuring that it will never be noticed. How far do you think the string will stand off from the ground at each point, merely by virtue of the fact that it is 36 inches (3 feet) too long? Explain your answer.
Answer: just an extra one foot
Step-by-step explanation:
Given that the length of the piece of string = 25,000 miles
Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere
Assuming that the earth is a perfect sphere.
The circumference of the circle = 25,000 mile.
But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.
In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.
Circumference = 2πr
Let's also convert miles to feet
25000 × 5280 = 2(3.143)r
r = 132 × 10^6/2π
r = 21008452.5 feet
3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.
If a = 2 and b = 8, what is the value of the following expression?
8 divided by a + 4 x b
*The answer is not 19*
Answer:
36
Step-by-step explanation:
a = 2
b = 8
8 : a + 4 × b
= (8 : 2) + (4 × 8)
= 4 + 32
= 36
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.
Answer:
44.657cm^3
Step-by-step explanation:
Please kindly check the attached file for more
Answer:
8π
Step-by-step explanation:
first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]
[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]
so since Abigail spilled 2/3 of the water then you do
[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]
so overall the volume of the remaning water is 8π.
Identify the value of r and a1 for each geometric
series.
2 + 3 + 4.5+ 6.75 + ...
Given:
The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]
We need to determine the value of r and a₁
Value of a₁:
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
Value of r:
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
[tex]r=\frac{3}{2}=1.5[/tex]
[tex]r=\frac{4.5}{3}=1.5[/tex]
[tex]r=\frac{6.75}{4.5}=1.5[/tex]
Thus, the value of r is 1.5
Answers:
1) 1.5 , 2
2) 0.5 , 8
explanation:
just did this :)
Maria has 56.20 feet of ribbon to use for a border around a rectangular bulletin board in her
classroom. The board is 4.47 feet tall and 7.25 feet wide. How many feet of ribbon will Maria
have left after she puts the border around the bulletin board?
Answer:
32.76 ft
Step-by-step explanation:
step 1
Find the perimeter of the rectangular bulletin board
The perimeter of rectangle is given by
[tex]P=2(W+H)[/tex]
where
W is the width
H is the height
we have
[tex]W=7.25\ ft\\H=4.47\ ft[/tex]
substitute
[tex]P=2(7.25+4.47)=23.44\ ft[/tex]
step 2
Subtract the perimeter from the total feet of ribbon
so
[tex]56.20-23.44=32.76\ ft[/tex]
25 points!!! Please help!!
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.
a. Write a function to represent this situation. Use x and y as your variables.
b. What would his weight be after 8 weeks?
Answer:
a) y= 8x+90 b) 154 pounds
Step-by-step explanation:
a) 90 will be the initial value (b) and 8 will be the slope (m)
this gives the linear function :
y = 8x + 90
b) to find his weight after 8 weeks plug in x=8
y= 64+90
y=154
154 pounds
Factor completely 16x4 − 81.
(2x − 3)(2x − 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 − 9)
(2x + 3)(2x + 3)(4x2 + 9)
From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).
Factoring
In math, the factoring or factorization is used to write an algebraic expression in factors.
The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).
If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:
[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].
Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).
Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].
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Final answer:
The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).
Explanation:
The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:
(4x2 + 9)(4x2 − 9)
Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:
(2x + 3)(2x − 3)(4x2 + 9)
true or false: the arrows on the opposite side of a parallelogram show that the sides are congruent
Answer:
false
Step-by-step explanation:
If Chickens lay about 12 eggs about every 4 days how many will they lay in 1 year 2 months and 3 days?
Answer:
1284 Eggs
Step-by-step explanation:
To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.
1) Find out how many days there are in a year.
There are 365 days in a year
2) Add 31 to 29.
[tex]31+29=60[/tex]
3) Add 60 to 365.
[tex]365+60=425[/tex]
4) Add 3 to 425.
[tex]425+3=428[/tex]
5) Divide 428 by 4.
[tex]428/4=107[/tex]
6) Multiply 107 by 12.
[tex]107*12=1284[/tex]
The following table shows the number of heart beats for 4 animals. For example, the pig's heart beats 225
times in 3 minutes.
Animal
Heartbeats
Minutes
Pig
225
Horse
180
Cow
520
Dog
540
Which animal's heart beats at a rate of 65 beats per minute?
Answer:
The cow's heart beats at 65 beats per minute
Step-by-step explanation:
To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:
Pig: [tex]\frac{225}{3}[/tex]
Horse: [tex]\frac{180}{4}[/tex]
Cow: [tex]\frac{520}{8}[/tex]
Dog: [tex]\frac{540}{6}[/tex]
Now all that you have to do is simplify them to get the following values:
Pig: 75 beats per minute
Horse: 45 beats per minute
Cow: 65 beats per minute
Dog: 90 beats per minute
450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get
Answer:
john gets 274
Step-by-step explanation:
150 divided by 2 = 225
add 50 to johns amount and you get 275
Answer:
250$
Step-by-step explanation:
250-50=200
200+250=450
Please answer this correctly
Answer:
13
Step-by-step explanation:
8 - (-5) = 13
Since x is the same in both points we only have to count the y
PLEASE HELP 6th GRADE MATH ONE PROBLEM
Answer:
Step-by-step explanation:
[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]
Can someone help me please
what is the mean and mad of 33,78,99,87,90,67 plz answer this fast you will be the brainliest person
Answer:
The mean and mad of this is 75.67(rounded to nearest hundredth) and 17.10 because the deviations are: 42.6, 2.33, 23.33, 11.33, 14.33, 8.67.
Step-by-step explanation:
help me answer this or ima get a butt whoping
solve for y
64−(3y+8y+y)÷40=37
Answer:
y= 90
Step-by-step explanation:
64−(3y+8y+y)÷40=37
Combine terms in the parentheses
64−(12y)÷40=37
Subtract 64 from each side
64-64−(12y)÷40=37-64
-(12y)÷40=-27
Multiply each side by 40
-(12y)÷40*40=-27*40
-12y =-1080
Divide each side by -12
-12y/-12 = -1080/-12
y =90
Answer:
y= 90
Step-by-step explanation:
64−( 3y+8y+y 40 )=37 64+ −3 10 y=37 −3 10 y+64=37
Step 2: Subtract 64 from both sides.
−3 10 y+64−64=37−64 −3 10 y=−27
Step 3: Multiply both sides by 10/(-3).
( 10 −3 )*( −3 10 y)=( 10 −3 )*(−27) y=90
The fraction 17 37/50 is equivalent to which of the following decimal numbers?
Answer:
17.74
Step-by-step explanation:
We know that anything divided by fifty is just two times itself as a decimal. Thus, [tex]\frac{37}{50}=0.74[/tex]. We can add this to 17 to find that [tex]17+0.74=17.74[/tex].
Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all circles? Explain. The circumference of Circle A is nothing meters.
Answer:
Circumference of Circle A=131.95mCircumference of Circle B=175.93mStep-by-step explanation:
Given two circles A and B
Circumference of a circle =[tex]2 \pi r[/tex]Radius of Circle A=21 metersCircumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters
Radius of Circle B=28 metersCircumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters
The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.
Answer:
Step-by-step explanation:
its actually 42πWhich statements are true for the following expression?
(9 + 1) · 5
Check all that are true.
The solution is the product of two factors.
The first factor is itself the product of two terms.
The solution is the sum of two terms.
The second factor is itself the sum of two terms.
The first factor is itself the sum of two terms.
The statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
What are Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
We can describe this expression as the product between a 5 and the sum of two 9 and 1, that is, the second factor is a sum of two terms, this means option A is a true statement.
As a product, the solution of this expression is the solution of that product, however, we first have to sum both terms inside the parenthesis, like this
= (9 + 1)5
= 10(5)
= 50
So, the statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
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if you are given a 2% raise and the inflatoin is 3%, you are
Describe The Function Between x= -4 and x= -1
Answer:
between x=-4 and x=-1 the graph is a straight line so it it linear and the graph is going up and to the right so it is increasing so between x=-4 and x=-1 the graph is linear and increasing
Step-by-step explanation:
Answer:
linear and increasing
7 pounds of kitty litter cost $6.72. What is the price per ounce?
Mary and Sam need to plant 198 trees. If Mary can plant 12 trees in 5 hours and Sam can plant 14 trees in 7 hours
how long would it take them if they worked together?
steps ?
Answer:
Step-by-step explanation:
so you wanna first add the hours
12
then add the number of trees painted in that number of hours
26
do 198 divided by 26
7.62( rounded to the nearest hundredth)
then take that product and multiply it by 12
91( rounded to the nearest one)
tha'ts your answer: 91 days
h(n)=-4n-5
g(n)=n-1
Find h(g(n)) =
Answer:
h(g(n))=4n-9
Step-by-step explanation:
h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).
h(g(n))=4(n-1)-5
h(g(n))=4n-4-5
h(g(n))=4n-9
Hope you understand it
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?
Answer:
R=3.897
Step-by-step explanation:
Given the magnitude measured by the Ritcher scale is given as;
R = 0.67log(0.37E) + 1.46 where E= is the energy (in kilowatt hours)
If E=1,770,000 then
R= 0.67log(0.37*1770000)
R=0.67log(654900)
R=0.67*5.81617
R=3.897
Final answer:
To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.
Explanation:
The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula
R = 0.67log(0.37E) + 1.46
where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.
First, substitute the given energy value into the formula:
R = 0.67log(0.37*1770000) + 1.46.
Performing the calculation:
0.37 * 1,770,000 = 654,900
log(654,900) = 5.816
R = 0.67 * 5.816 + 1.46
R ≈ 5.51
Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.
How do you round a decimal to the nearest degree?
Adding 6 to triple a number gives 21
Step-by-step explanation:
Let the required number be x.
[tex] \therefore \: 3x + 6 = 21 \\ [/tex]
Brainliest to the correct answer and all answers get thanks! Please help :3
Answer:The answer is; It builds tension in the story:and it introduces the setting.
Step-by-step explanation:
The right answer is of option D.
Look at the attached picture⤴
Hope it will help u...
What is the answer to 7x+7=4x
Answer:
-2 1/3
Step-by-step explanation:
First, subtract 7x from both sides to isolate the variable:
7x+7=4x
-7x -7x
=7=-3x
divide both sides by -3 to find the value of x
Some people have freckles, and some people do not
have freckles. If a child has freckles, at least one parent
has freckles. However, the child may have a sibling that
does not have freckles. Which statement best describes
the presence of freckles? 1.Freckles are not determined
by DNA. 2. There are two alleles for freckles. 3.There is no
dominant allele for freckles. 4.Freckles are determined by
two genes instead of by one. If Mendel had crossed a true
breeding dominant plant with a true breeding recessive
plant, in which of the three generations is the recessive
trait visible? 1.F1 generation 2.P generation 3.F1 generation
and F2 generation 4.P generation and F2 generation.
Answer:I think freckles are not determined by DNA
Step-by-step explanation:
I have freckles and none of my parents do or ever have had freckles.
Answer:
There are two alleles for freckles
Step-by-step explanation:
100 on edg