The square root of 9801 is 99.
What is square root?√9801 = 99
A number can be obtained by multiplying the square root of that integer by itself.
The equation √y = √y12 can be used to express the square root of any number. In other words, if a number's exponent is 1/2, we must determine the number's square root.
The context of complex numbers can be used to discuss square roots of negative numbers. More broadly, square roots can be taken into account in any situation where the concept of an object's "square" is established. Among other mathematical structures, these include square matrices and function spaces.
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The length of a bacterial cell is about 4 x 10 to the negative power of 6 m, and the length of an amoeba cell is about 2.5 x 10 to the power of 4 m. How many times smaller is the bacterial cell than the amoeba
cell? Write the final answer in scientific notation with the correct number of significant digits.
A. 06.25 x 10²
B. 2x10²
C. 6x 10¹
D. 16 x 10¹
The number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10
How many times smaller is the bacterial cell than the amoeba cell?The given parameters are:
Bacteria cell = 4 x 10^-6 m
Amoeba cell = 2.5 x 10^4 m
The number of times (n) is calculated as
n = Amoeba cell/Bacteria cell
This gives
n = (4 x 10^-6 m)/(2.5 x 10^4 m)
This gives
n = 1.6 * 10^-10
Hence, the number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10
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Which is the best definition of substitution?
The process of combining the coefficients of terms that have the same variable.
The process of simplifying an expression using the order of operations.
The process of replacing variables with numeric values.
The process of multiplying a base by itself three times.
The best definition of substitution is C. The process of replacing variables with numeric values.
What is substitution?It should be noted that substitution is the way that can be used to solve linear system algebraically.
Therefore, the definition of substitution is the process of replacing variables with numeric values.
In conclusion, the correct option is C.
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290951.867863 rounded to the nearest hundred
Find the area of a circle with radius 6 in. Use the value 3.14 for π, and do not round your answer.
Step-by-step explanation:
Área of a circle is given as
[tex]\pi \times {r}^{2} [/tex]
Therefore you can substitute the values as follows:
[tex]3.14 \times {6}^{2} = 113.09733552923[/tex]
Answer not rounded to any decimal place and used of 3.14 as said in the instruction
The area is:
113.04 in²Explanation:
To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].
where:
A = area;
π = 3.14 (pi);
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A=3.14\times6^2}[/tex]
[tex]\sf{A=3.14\times36}[/tex]
[tex]\sf{A=113.04\:in^2}[/tex]
A​ 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph. how long must a person walk at this speed to use at least 250 ​calories?
The time taken when the person wants to burn 250 calories will be 42.37 minutes.
How to illustrate the information?From the information, the 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph.
Therefore, the time taken when the person wants to burn 250 calories will be:
= Number of calories / 5.9
= 250 / 5.9
= 42.37 minutes.
Therefore, the time taken when the person wants to burn 250 calories will be 42.37 minutes.
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Which of the following expressions have the same value as the mixed number
Answer:
-29/4-7 - 1/4- (7 + 1/4)Step-by-step explanation:
your welcome <3
math wizard! help me out
Answer: 27 days 60 miles
Step-by-step explanation: 162/6=27
6x17=102 162-102=60
Step-by-step explanation:
no wizardry is needed, as the function is already there. we only need to use it.
(a)
find d, so that 162 - 6d = 0 (0 miles are left)
162 - 6d = 0
162 = 6d
d = 162/6 = 27
it will take them 27 days.
(b)
L(17) = 162 - 6×17 = 162 - 102 = 60 miles
after 17 days they still have to lay 60 miles.
What do you need to add to -6 to get 10? i need helppp
Answer:
16
Step-by-step explanation:
x+(-6)=10 Take (-6) to the other side it becomes (+6).
x= 10 + 6
x=16
Please Help! Best answer gets Brainliest.
Find P on NM that is the given fractional distance from N to M. Please explain.
Equation:
1/5; N (-3, -2), M (1, 1)
The coordinates of the point P that partitions the Line N, into the ratio 1:5 is; P(x, y) = (-14/6), (-9/6)
How to partition line segment?We are told that the point P partitions the Line N, into the ratio 1:5.
Now, the coordinates of N and M are;
N(-3, -2), M(1, 1)
The formula to find the coordinates that partition a line is;
P(x, y) = (bx1 + ax2)/(a + b), (by1 + ay2)/(a + b)
where the ratio is a:b. Thus;
Thus, the coordinates of point P here are calculated as;
P(x, y) = (5*-3 + 1*1)/(1 + 5), (5*-2 + 1*1)/(1 + 5)
P(x, y) = (-14/6), (-9/6)
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What is the value of x? enter your answer in the box. x = two lines slightly inclined with vertical intersect at the midpoint. the left and right angles made by these lines are obtuse. the right obtuse angle is labeled left square bracket 5 left parenthesis x minus 4 right parenthesis right square bracket degrees. the left obtuse angle is labeled left parenthesis 4 x plus 7 right parenthesis degrees.
The value of 'x' in the given question is 27°.
Obtuse Angle may be defined as an angle that is greater than 90° and less than 180°. It may be also defined as an angle between a right angle and a straight-line angle.
From the question we can conclude that the given angles are vertically opposite to each other, and vertically opposite angles are always equal to each other.
Vertically opposite angles are formed when two lines are intersecting each other and the angles formed on each side of the intersection point are called vertically opposite angles.
Now according to the question:
[5(x-4)]°=(4x+7)°
Rearranging the terms:
(5x-20)°=(4x+7)°
=>x=27°
Therefore, the value of x is 27°.
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with show work please. a and b.
Step-by-step explanation:
(a)
the sum of all internal angles in a polygon with n sides is
(n - 2)×180.
since in a regular polygon all angles are equally large, we get for one internal angle :
(n - 2)×180/n
for our hexagon this means the internal angle is
(6 - 2)×180/6 = 4×30 = 120°
(b)
the area of the hexagon is (as the graphic so nicely suggests) the sum of the areas of all 6 inner triangles.
the area of a triangle is
baseline × height / 2
baseline = 10 cm
the height (from the tip of the triangle down to the baseline in a right angle) is half of 17.3 cm, because these 17.3 cm are the sum of the 2 heights of 2 triangles placed tip to tip.
so, height = 17.3/2 = 8.65 cm
the area of one of the triangles is therefore
10 × 8.65 / 2 = 5 × 8.65 = 43.25 cm²
the total area of the hexagon is then
6 × 43.25 = 259.5 cm²
Define a variable and write an inequality to model the given situation. The restaurant can seat at most 154 people. *** If p is the restaurant's capacity, which of the following inequalities models the given situation?
A. p≥ 154
B. p≤ 154
C. p< 154
D. p>154
Answer:
B. p ≤ 154
Hope that helps :)
Step-by-step explanation:
The restaurant can hold 154 people or less than that.
-1/4 divided by (-7/9)
Answer:
9/28
Step-by-step explanation:
when you divide a fraction by fraction you need to multiply the left fraction by the opposite of right fraction so -7/9 becomes -9/7 and then you multiply -1/4 by -9/7. When you multiply negative with negative you get a positive value.
it's better to display fractions vertically like this to understand better
1
_
4
Answer:9/28
Step-by-step explanation:
Find the coordinates of P that represents the weighted average of A and B, where point A has a weight of 4 and point B has a weight of 1
Using the weighted mean, the coordinates of P are given as follows:
x: (4xA + xB)/5.y: (4yA + yB)/5.What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, we have these following points:
Point A with a weight of 4.Point B with a weight of 1.Applying the weighted mean, the coordinates of P are given as follows:
x: (4xA + xB)/5.y: (4yA + yB)/5.In which xA and yA are the coordinates x and y of point A, and xB and yB are the coordinates x and y of point B.
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suppose a jar contains 9 red marbles and 14 blue marbles. if you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. answer should be in fractional form.
The probability that both are red should be 0.1423.
The possibility of picking up x number of balls among n number of balls is ⁿCₓ.
jar contains 9 red marbles and 14 blue marbles. Total number of marbles are 23.
favorable cases of picking two red marbles among 9 red marbles is ⁹C₂
And the total possible cases of picking two marbles among 23 marbles is ²³C₂
Therefore, the probability of picking both red marbles are = ( no. Of favorable cases/no. Of possible cases) = ( ⁹C₂ )/( ²³C₂ ) = 36/253 = 0.1423.
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"One subtracted
from the
product of 4 and
a number is Il”
The number will be 3.
How to calculate the value?Let the number be represented by x.
Therefore based on the information, the equation will be:
(x × 4) - 1 = 1
4x - 1 = 11
Collect like terms
4x = 11 + 1
4x = 12
Divide
x = 12/4
x = 3
The number is 3.
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Draw a scaled copy of polygon with the scaled factor of 2
A scaled copy of polygon with the scaled factor of 2 is Scale factor is defined as
It is a growing organism that falls between (0, infinity). According to the scale factor, an original figure might be either raised or decreased.
Consider two circles that appear to be the same. The word "identical" does not guarantee that both circles are of similar size. They could have various radii. One figure would be the other figure scaled down.
The ideas of ratio and proportion are intimately related to scale considerations. A given amount is multiplied or divided in ratio and proportions to create a new quantity.
A Scaled copy involves multiplying the lengths in the original figure by scale factor.
Here scale factor = 2,
Since the scale factor > 1, so there is an enlargement.
So, the scale copy's sides are 2 times of the sides of figure A.
Take the reference of grid:
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help help help help help help help help help help help help help help help
Step-by-step explanation:
11. Is a real numer
12. Is integer
13. Is rational
14. Is whole number
Mom is getting food ready for my birthday party! Including me, there will be 28 people at the party. Mom is baking cookies for us! She can bake 24 cookies per batch. How many batches should I tell Mom to make so we can each have 5 cookies?
Answer:
The answer would be six batches of cookies.
Answer:
6 batches
Step-by-step explanation:
so 28 people including you
24 cookies per batch
5 cookies each
24 cookies in each batch, if you round that up it would be 30 and 30 x 5 = 150, so instead of rounding the amount of cookies, add 1 more to the amount you multiply 24 by
then it would be 24 x 6 = 144
now divide that by 28
144/28= 5 1/6
it would take 6 (7 if everyone gets whole numbers of cookies because It would be a fraction if not 7) batches to make sure everyone gets cookies
double check:
24 times 6 = cookies
144/28= 5 1/6
The sum of two numbers is 125 and their difference is 47. Find each of the numbers
86 and 39
Step-by-step explanation:
let A is the first letter and B is the second number
A+B=125
A-B=47
2A=172
A=86
A+B=125
86+B=125
B=125-86
B=39
Temperature Suppose there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 46.2°F, what
will be the temperature when the plane reaches an altitude of 10,000 ft?
The temperature will be
PF. (Type an integer or a decimal.)
The temperature at 10,000 feet altitude will be 30.2 ° F.
We are given that:
As the airplane moves 1000 feet above the ground, the temperature drops by 1.6 ° F.
Now, the temperature on the ground is given as
Temperature on ground = 46.2 ° F
Now, the plane is at the altitude of 10,00 feet.
We need to tell the temperature at that altitude.
At 1000 feet, temperature drops by = 1.6 ° F.
At 10000 feet, the temperature will drop by = 1.6 ° F. × 10,000 / 1000
= 16 ° F.
So, the temperature will be = 46.2 ° F - 16 ° F
Temperature = 30.2 ° F
Therefore, the temperature at 10,000 feet altitude will be 30.2 ° F.
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What does it mean to invest in a stock
Step-by-step explanation:
When you buy a company's stock, you're purchasing a small piece of that company, called a share. Investors purchase stocks in companies they think will go up in value. If that happens, the company's stock increases in value as well. The stock can then be sold for a profit.
Stocks are an investment that means you own a share in the company that issued the stock. Simply put, stocks are a way to build wealth. This is how ordinary people invest in some of the most successful companies in the world. For companies, stocks are a way to raise money to fund growth, products and other initiatives.
The shaded area of the square is:
14 12 34
Answer:
5902
Step-by-step explanation:
that's what it tells with my calculations
Some sales positions pay a commission only if sales exceed a sales
quota. The salesperson is rewarded only for having sales beyond an
expected amount. Joyce Doyle is a sales trainee. She is paid $1,550 per
month plus a commission of 7.5% on all sales of more than a $20,000
monthly quota. What is Joyce's total pay for a month in which her sales
totaled $22,650?
The sales on which Joyce earns commission is the sale beyond $20,000 which is $2,650. So the total pay for a month for Joyce in which her sales is $22,650 is $1748.75.
Joyce is paid $1,550 per month plus a commission of 7.5% on all sales of more than a $20,000 monthly quota. For the given month her sales is $22,650.
Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.
Total pay of Joyce = Her pay per month + Commission that she gets
Commission she gets is on the sales beyond $20,000.
Here, commission is on $22,650 - $20,000 = $2,650
She gets 7.5% commission. So, her commission is 7.5% * $2,650
=> 75/1000 * $2,650 = $198.75
So, the total pay of Joyce is $1,550 + $198.75
=> $1748.75 for the month.
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find the quotient 4 4/5 divided by 4/5
Answer:
Step-by-step explanation:
6
A dress has a retail price of $195, but the store is running a sale and is giving 15% off of the retail price on all dresses. The store is located in Los Angeles, CA, which has a sales tax rate of 8%. Note: The 15% discount is applied prior to the item being taxed. You have $180 to spend. Can you afford to buy the dress? How much will it cost you?
Answer:
$179.01
Step-by-step explanation:
(First Step) $195 - 15% = $165.75
(Second Step) $165.75 + 8% = $179.01
What percentage of those who were married were obese?
a. 25.6%(331/1293)
b. 44.4% (147/331)
c. 32.8%(424/1293)
d. 34.7% (147/424)
The percentage of those who were married were also obese is: 34.7% (147/424; Option B)
What are percentages?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. A % is a number without dimensions and without a standard measurement.Now,
The percentage of number of married participants who were obese is calculated by: dividing the former (147) by the total number of married participants(424)
=> Percentage of married participants who were obese = 147/424.
Hence, The percentage of those who were married were also obese is: 34.7% (147/424; Option B)
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(COMPLETE QUESTION:
A 2009 study analyzed data from the National Longitudinal Study of Adolescent Health. Participants were followed into adulthood. Each study participant was categorized as to whether they were obese (BMI >30) or not and whether they were dating, cohabiting, or married. The table below summarizes the results.
Dating Cohabiting Married Total
Obese 81 103 147 331
Not Obese 359 326 277 962
Total 440 429 424 1293
What percentage of those who were married were obese? (Round your answer to 1 decimal place.)
A. 32.8% (424/1293)
B. 34.7% (147/424)
C. 25.6% (331/1293)
D. 44.4% (147/331))
helllllp asap pls!!!!!
6. The measure of each angle is m∠ E = 46°, m∠ D = 46°.
Angle of elevation from point A to B (∠ E ) is the angle between the horizontal line from A to B.
And, Angle of depression from B to A ( ∠D ) is the angle from the horizontally downward line from B to A.
As we can see that all the horizontal lines are in parallel to each other,
Alternative Interior Angle : When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
With the help of above theorem,
Angle of elevation from point A to B = Angle of depression from point B to A,
∠E and ∠D are interior opposite angles.
Then, m ∠ E = m ∠ D
3x + 1 = 2(x + 8) ( Given )
3x + 1 = 2x + 16
x = 15,
So, m∠ E = 3x + 1 = 45 + 1 = 46°
Hence, m∠D = 46°
7. The measure of each angle is m∠ E = 20°, m∠ D = 20°.
By following same method as given above we will solve this question.
So, As we know that
Angle of elevation from point A to B = Angle of depression from point B to A,
∠E and ∠D are interior opposite angles.
Then, m ∠ E = m ∠ D
5(x - 2) = (x + 14)
5x - 10 = x + 14
5x -x = 14 + 10
4x = 24
x = 24/4 = 6
So, m∠ D = (x + 14) = 6 + 14 = 20°
Hence, m ∠ E = 20°
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In the segment below, QV = 23. QT = 8. TR = RS = SV.
Answer:
RS = 5
QS = 18
TS = 10
TV = 15
Step-by-step explanation:
Given QV = 23 and QT = 8 and TR = RS = SV
now, we subtract the length of QT from the whole line, QV
23 - 8 = 15 then we divide this by 3 because TR = RS = SV so there must be 3 equal pieces
15 ÷ 3 = 5
RS = 5
QS = QT + TR + RS so
QS = 8 + 5 + 5
QS = 18
TS = TR + RS so
TS = 5 + 5 and
TV = TR + RS + SV
TV = 15
The volume of a triangular prism is 1380 cubic centimeters. Its base is a right triangle with legs measuring 8 centimeters and 15 centimeters. What is the height of the prism?
A. 34.5 \mathrm{~cm}
B. 23 \mathrm{~cm}
C. 17cm
D. 11.5 \mathrm{~cm}
Answer:
Step-by-step explanation:
V=Bh
Subsitute area of base by putting area of right triangle 1/2*8*15.
1380=1/2*8*15*h
Solve for value of h
h=23 cm
Option B is correct.