What is the simplest fraction form of 0.030303
Step-by-step explanation:
1/33
1/3 is 0.33333....
1/30 is 0.03333...
1/300 is 0.003333...
and so on.
that was in the initial thought.
in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.
I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.
so, it turned out to be 1/3 / 11 = 1/33.
Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
Megan opened a savings account with a $500 deposit. The account pays 1.25% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 3 years? help
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (500)(0.0125)(3)\implies \boxed{I = 18.75}[/tex]
1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = (3x + 2)(−6x − 3)
A. linear function; linear term: −18x2; constant term: −6
B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6
C. linear function; linear term: −21x; constant term: −6
D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6
Answer:
D
Step-by-step explanation:
Got it right on test
Answer: The answer is letter B or letter D
D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6
Step-by-step explanation: Find the degree of the function to determine if linear. f ( x ) = − 18 x 2 − 21 x − 6 is not a linear function
Expand the polynomial using the FOIL method. f ( x ) = − 18 x 2 − 21 x − 6
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
Write 12.325 as a mixed number. quick I need help
Answer:
493/40
i tried my best on it
Answer:
493 /40
Step-by-step explanation:
(12.325 × 100) / (1 × 1000) =
=12325/ 1000
solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places
Answer:
3/4x - 5 = x
= -3/10 -> -0.15
2 Decimal places = 0.150
Which expression is equivalent to 8^4 (8 to the 4th power)
Answer:
Step-by-step explanation:
8^4 is the same as 8·8·8·8
The exponent 4 means that 8 will be multiply by itself four time.
Answer:
4096
Step-by-step explanation:
hope this helps=)
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage
Answer:
7.9000000÷96
=0.0822916667
MARK ME BRAINLIEST PLS I WILL GET A NEW RANKHelpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
1) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks.
)) Erin is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 239-meter warmup and then swim
laps in a lane that is 32 meters long. If Erin swims at the indoor pool at her gym, she will
complete a 223-meter warmup, plus a main set that consists of 33 meters per lap. If Erin
swims the correct number of laps, she can complete the same distance in either pool. How
many laps will that take? How long will Erin's workout be in total?
Erin swims
meters
laps at either pool, she can complete a total workout of
7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?
Answer:
1 1/2
Step-by-step explanation:
because when you divide 7.5 by 5 you get 1.5
You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous
Based on the information given the percentage of the brown geese that are heterozygous is 48%.
Random sample = 250
Brown color = 210
Gray color = 250 - 210 = 40
First step is to calculate the proportion of a alleles in the population
Proportion (a alleles)=√40/250
Proportion (a alleles)= √0.16
Proportion (a alleles)= 0.4
Second step is to calculate the proportion of A alleles in the population
p(A) = 1 - 0.4
p(A)= 0.6
Third step is to calculate brown heterozygous percentage using this formula
Brown heterozygous percentage=2pq(Aa)
Let plug in the formula
Brown heterozygous percentage= 2 x 0.6 x 0.4
Brown heterozygous percentage= 0.48 ×100
Brown heterozygous percentage= 48%
Inconclusion the percentage of the brown geese that are heterozygous is 48%.
Learn more here:https://brainly.com/question/2632209
What is m + 5n where m = 1 and n = 5?
CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62
HELP! (T^T)
Answer:
A. 26
Step-by-step explanation:
substitute the number in for the variables (letters).
[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]
what is -2(x+1) simplified
Answer:
-2x - 2
Step-by-step explanation:
-2(x + 1)
[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]Therefore, the answer is -2x - 2.
Answer:
-2x - 2
Step-by-step explanation:
Simplify:
-2(x+1)-2(x) + -2(1)-2x - 2-Chetan K
brainy heart rate 190 per minute her heart rate is 70% of her MHR
what is target heart rate
70
120
133
190
217
Answer:
120
Step-by-step explanation:
trough dependent sarcasm
It’s for pre college
Answer:
Step-by-step explanation:
y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71
perpendicular lines have negative reciprocal slopes
-5x + 9y = - 71
9y = 5x - 71
y = (5/9)x - 71/9
so a perpendicular line will have slope -9/5
y = (-9/5)x + b
plug in our desired point
4 = (-9/5)7 + b
4 = -63/5 + b
20/5 = -63/5 + b
b = 83/5
y = (-9/5)x + 83/5
5y = -9x + 83
convert into Improper fraction
4 3/4
Answer:
Improper fraction = 19/3
Step-by-step explanation:
To convert to improper fraction;
1.) multiply the denominator with the whole number,
2.) then add the number you got with the numerator (this will be you new numerator)
3.) keep the denominator the same for the new fraction
Hope this helps!
Hello!
--------------------------------------------------------------------------------------------------------------
4 3/4
First, we multiply the whole number by the denominator:
16
Then, we add the numerator:
19
19 is the numerator for our fraction.
Now, the denominator stays the same:
[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!
~SparklingFlower
--------------------------------------------------------------------------------------------------------------
20 feel from the ground i need a ladder placed 15 feet from the house what is the length
Answer:
helooo
Step-by-p explanation:
The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door
Answer:
The width of the door to be 39.10 ft, and the height to be 40.7 feet.
what is 2x3y if x = -2y =4
Answer:
-48
Step-by-step explanation:
2x3y
\/
2(-2) * 3(4)
\/
-4 * 12
\/
-48
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer: -48
Step-by-step explanation:
2(-2)3(4) = -4*12 = -48
A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area
Answer:
12 meters sq
Step-by-step explanation:
area= length x width
area= 3x4
area=12 meters sq
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD
Answer:
4 better inbox
Step-by-step explanation:
NEED HELP!! THANK YOU
Answer:
Expression: -7 + 8f - 2b - f + 3b + 6
# of Terms: 6
Like Terms: 8f and f, -2b and 3b, and -7 and 6
Coefficients: 8, 1, -2, and 3
Constants: -7 and 6
Expression: -11x + 4 + 8x - 4 + 3x
# of Terms: 5
Like Terms: -11x, 8x, and 3x & 4 and -4
Coefficients: -11, 8, and 3
Constants: 4 and -4
Step-by-step explanation:
The coefficient is the number in front of the variable.
The variable is any letter that you may see in an expression.
Terms are the numbers and variables, that are separated by the different signs.
Like terms are the terms that share the same variable/exponent.
Constants are the terms without variables.
Hope this helps you :)
Sorry if it's somehow wrong.
By what number should be 6 2/9 be divided to obtain 4 2/3 ?
6(2/9)
4(2/3)
18/54
8/12
=18/54
=8/12
u divided all
Let the number should be duvided be X
Given number = 6 2/9
⇛ (6×9+2)/9
⇛ (54+2)/9
⇛ 56/9
On dividing 56/9 by X then the result
= (56/9)/X
= 56/9X
According to the given problem
The result = 4 2/3 = 14/3
⇛ 56/9X = 14/3
⇛ 9X×14 = 56×3
⇛ 9X = 56×3/14
⇛ 9X = 4×3
⇛9X = 12
⇛X = 12/9
=⇛X = 4/3 or 1 1/3
Answer↓
The required number is 4/3 or 1 1/3
Check↓
On dividing 6 2/9 by 1 1/3
⇛ 6 2/9 ÷ 1 1/3
⇛ (56/9)÷(4/3)
⇛ (56/9)×(3/4)
⇛ (56×3)/(9×4)
⇛ 14/3
⇛4 2/3
Verified.
is 6 x 8 4 x 12 equal or not equal
Answer:
both is 48
Step-by-step explanation:
Please help with the homework thanks
Answer:
1. 7
2. 8
3. 17 cars
4. 6 guppies
5. 54
6. 15 pencils
Step-by-step explanation:
Have a great day! Feel free to mark as brainliest! :)
The points in the table lie on a line. Find the slope of the line
Answer: Slope formula: m = y2 - y1/ x2 - x1
2 - (-2)/ 1 - 0
2 + 2/1
4/1
Slope = 4
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