Answer:
7,6
Step-by-step explanation:
the square root of 49 is 7 and
the square root of 36 is 6
so it must be between 7 and 6
PLEASE ANSWER QUICK! ANYONE WHO ANSWERS WITH A LINK OR FILE WILL BE REPORTED! BRAINLIEST GOES TO ANYONE WHO ANSWERS CORRECTLY!
Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they are a party of 12. The total bill after the automatic 15% gratuity was $213.90. Because they received such good service, the group decided to add an extra $20 to the total bill as an additional tip.
So, instead of leaving a 15% tip, Javier and his friends ended up leaving a tip that was about _% of the food bill.
How can you turn any number into a science notation?
Please help me it would mean the world!
Answer/Step-by-step explanation:
To turn any number into a science notation is first write the non-zero digits, placing a decimal after the first non-zero digit. Then, you count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.
[RevyBreeze]
Consider the 4-digit number abcd. Putting it in scientific notation is a matter of moving the (invisible) decimal point to the left until you have a number between 1 and 10, then multiplying this number by an appropriate power of 10, equal to the number of positions that the point was moved.
In this case,
abcd = abcd . = a . bcd × 10³
The number of underlined digits is the number of positions you have to move the decimal point. The number a . bcd is called the mantissa.
For a number already containing a decimal point, like abc . def, we do the same thing:
abc . def = a . bcdef × 10²
For a number smaller than 1, such as 0.000abcd, we have to move the decimal to the right:
0.000abcd = 0000a . bcd = a . bcd × 10⁻⁴
As mentioned earlier, the mantissa is typically supposed to be between 1 and 10, which means that if you start with a number larger than 1, that number in scientific notation will involve multiplication by a positive power of 10. On the other hand, if you start with a number smaller than 1, the power of 10 will be negative. You can see this is true for each of the examples I've used here.
Who is right, and why?
Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
Kurt is right, because finding One-fifth of 3,600 is not a good way to approximate 21% of 3,585.
Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding One-fifth of 3,600.
The correct statement regarding the proportion is given as follows:
Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding One-fifth of 3,600.
How to obtain the correct proportion?A proportion is a fraction of a total amount.
The total amount is of 3585, and 21% of the goal has been reached, hence the amount reached is obtained as follows:
0.21 x 3585 = $752.85.
Both Kurt or Maria took different routes, rounding the amount to 3600, and then obtaining 20% of it, which is equivalent to one-fifth. 20% can also be obtained as twice of 10%, hence both are correct, and the fourth statement is correct.
Missing InformationThe missing text is given as follows:
Kurt and Maria’s high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached.
Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2.
Maria estimated the number of pounds of newspapers collected by finding One-fifth of 3,600.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Which is the better deal? 20-minute spa for $45 or 60-minute spa for $138
Find the limit, if it exists, or show that the limit does not exist. lim(,)→(0,0) 2 2 4
The limit does not exist.
What is a limit?A limit in mathematics is the value that a function approaches when its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).
Try approaching \((0,0)\) along the x-axis.
This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).
We obtain:
\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)
Now evaluate approaching \((0,0)\) along the y-axis.
This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).
\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)
Approaching the origin via these two methods results in distinct limits.
\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)
Therefore the limit does not exist.
Know more about limits here:
https://brainly.com/question/1521191
#SPJ4
The correct question is given below:
Find the limit, if it exists, or show that the limit does not exist.
\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)
confirm that the integral test can be applied to the series. then use the integral test to determine the convergence or divergence of the series. Sigma^infinity _n=1 ln(n)/n^4 integral^infinity _1 ln(x)/x^4 dx = a. converges b. diverges
To apply the integral test, we need to check if the function f(x) = ln(x)/x^4 is continuous, positive, and decreasing for all x ≥ 1.
The function is positive and continuous for all x ≥ 1. To check if it is decreasing, we can take the derivative:
f'(x) = (1 - 4ln(x))/x^5
For x ≥ e^(1/4), the derivative is negative, which means that f(x) is decreasing for x ≥ e^(1/4). Since the function is positive, continuous, and decreasing for x ≥ 1, we can apply the integral test:
∫1^∞ ln(x)/x^4 dx = lim(t→∞) ∫1^t ln(x)/x^4 dx
Using integration by parts with u = ln(x) and dv = x^-4 dx, we get:
∫1^∞ ln(x)/x^4 dx = [-ln(x)/3x^3]1^∞ + (1/3) ∫1^∞ x^-4 dx
The first term evaluates to 0 since ln(1) = 0 and lim(x→∞) ln(x)/x^3 = 0. The second term evaluates to:
(1/3) ∫1^∞ x^-4 dx = (1/3) [(-1/3)x^-3]1^∞ = 1/9
Therefore, the series ∑n=1^∞ ln(n)/n^4 converges since the integral test confirms that its corresponding improper integral is finite. Thus, the answer is a. converges.
For more questions like integral visit the link below:
https://brainly.com/question/30431310
#SPJ11
find the missing side
PLEASE HELP!!!!
The table shows values for functions f(x) and g(x). x f(x)=2x−3 g(x)=73x−2 −1 −52 −133 0 −2 −2 1 −1 13 2 1 83 3 5 5 4 13 223 5 29 293 What are the solutions to the equation f(x)=g(x)? Select each correct answer.
0 and 2
f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
There are two solutions to f(x) = g(x) which are x=0 and x=2.
f(x) = g(x) will be the input or x value at which f and g have the same output or y value.
What is the function?
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
To learn more about the function visit:
https://brainly.com/question/25638609
#SPJ2
Which of the following numbers is not divisible by any positive integer except 1 and itself? A. 41 B. 49 C. 51 D. 57 E. 91
Answer:
A. 41 (it is a prime number)
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?
A. No triangle
B. Scalene triangle
C. Equilateral triangle
D. Isosceles triangle
Answer:
:A triangle with all sides of equal length is called equilateral.
Step-by-step explanation:
Answer:
Choice D
Step-by-step explanation:
An isosceles triangle has 2 equal sides
prove l’hˆopital’s rule: if f(z) and g(z) are analytic at z0 and f(z0) = g(z0) = 0, but g 0 (z0) 6= 0, then limz→z0 f(z) g(z) = f 0 (z0) g 0(z0)
The f(z)/(z - z0) is analytic at z0 and its limit is f’ 0 (z0). This completes the proof of l'Hôpital's rule
To prove l'Hôpital's rule, we can use the Cauchy integral formula. Let D be a small disk centered at z0 and with radius r. Then we have:
f(z) = (1/2πi) ∫γ f(ζ)/(ζ - z) dζ,
where γ is the boundary of D oriented counterclockwise. Similarly, we have:
g(z) = (1/2πi) ∫γ g(ζ)/(ζ - z) dζ.
Since f(z0) = g(z0) = 0 and g' 0 (z0) ≠ 0, we can expand g(z) as:
g(z) = g’ 0 (z0) (z - z0) + O((z - z0)²).
Then, for z in D, we have:
f(z) g(z) = f(z) [g’ 0 (z0) (z - z0) + O((z - z0)²)]
= g’ 0 (z0) [f(z)/(z - z0)] (z - z0) + O((z - z0)³).
Note that the O((z - z0)²) and O((z - z0)³) terms are bounded by Cr² and Cr³, respectively, where C is a constant depending on f and g but independent of r. Using the Cauchy integral formula again, we have:
f(z)/(z - z0) = (1/2πi) ∫γ f(ζ)/(ζ - z) dζ
= (1/2πi) ∫γ [f(ζ) - f(z0)]/(ζ - z0) dζ.
Since f(z0) = 0, the integrand is bounded by M/r for some constant M depending on f but independent of r. Therefore, we have:
|f(z)/(z - z0)| ≤ M/r
for all z in D except z0. Thus, the term (z - z0) cancels out in the limit as z approaches z0, and we get:
limz→z0 f(z) g(z) = limz→z0 g’ 0 (z0) [f(z)/(z - z0)] (z - z0)
= g’ 0 (z0) f’ 0 (z0),
where we used the fact that f(z)/(z - z0) is analytic at z0 and its limit is f’ 0 (z0). This completes the proof of l'Hôpital's rule.
Learn more about Analytic
brainly.com/question/30279876
#SPJ11
Fortunately for you, summer is fast approaching and now is your opportunity to work
and raise money. Your parents have agreed to help you purchase a used car (Links to
an external site.) between $9,000 - $12,000; however, they have asked for your help.
You will need to contribute 35% of the price of the car and they will pay for the rest.
You have just been hired at a local business which is open 7 days a week for the 12
weeks of summer. You need to determine the number of hours on average you would
need to work during the week and on the weekend in order to reach your contribution
goal. The table below shows the pay rates for your new job:
monday-friday 7.30 per hour
weekend 13.5 per hour
You plan to work 40 hours a week for the entire summer and will save all of the money
you earn to put towards your car contribution; however you are NOT expected to work
every day. Also, be aware that the company does not schedule students more than 8
hours a day.
Your parents have asked that you provide them with a written plan including the car you
are purchasing, it's cost, and a detailed explanation for how you will earn your portion of
the cost of the car. Your parents aren't easily convinced and will want to see how you
came up with these numbers and proof that your calculations are accurate.
Your parents are excited about this opportunity and are anxious to hear what decisions
you have made. Happy shopping!
i will buy a 11998$ car
Answer:
ok?
Step-by-step explanation:
Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x
Answer:
The solutions are x = -6 or x = +2
Step-by-step explanation:
In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero
Mathematically, we proceed as follows;
(x +2)^2 -16 = 0
This can be rewritten as;
(x + 2)^2 - 4^2 = 0
we can then proceed to use the difference of two squares to finish this off
Thus, we have
(x + 2 + 4)(x + 2 - 4) = 0
(x + 6)(x-2) = 0
X + 6 = 0 or x-2 = 0
x = -6 or x = +2
shoppers enter hamilton place mall at an average of 120 per hour what is the probability that exactly 5 shoppers will enter the mall between noon and 1205
The probability of exactly 5 shoppers entering the mall between noon and 12:05 pm is approximately 0.042.
This scenario follows a Poisson distribution, where the rate parameter is λ = 120 shoppers per hour. We want to find the probability of exactly 5 shoppers entering the mall between noon and 12:05 pm.
Using the Poisson probability mass function:
P(X = 5) = (e^(-λ) * λ^x) / x!
where X is the random variable representing the number of shoppers entering the mall between noon and 12:05 pm.
Plugging in the values, we get:
\(P(X = 5) = (e^{(-120)} * 120^5) / 5!\)
P(X = 5) ≈ 0.042
Therefore, the probability of exactly 5 shoppers entering the mall between noon and 12:05 pm is approximately 0.042.
To know more about probability refer here:
https://brainly.com/question/32004014
#SPJ11
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Fill the missing numbers in these fraction sums:
1.) 1/5 + /10 = 1
2.) 1/4 + 9/ = 1
Answer:
1) 8 2) 12
Step-by-step explanation:
Answer:
your answer is
1) 8
2) 12
Hope it’s helps you Buddy
Step-by-step explanation:
~Zayn
URGENT I WILL MARK BRAINLIEST DRAW WHERE THE DOTS GO ON THE GRAPH
Answer:
(Answer in picture)
Simplify.
(-32) 1.2
Answer
The solution to the expression (-32)(1.2) is A = -38.4
Given data:
The first number is a = -32
The second decimal number is b = 1.2
So, the expression is A = ab
To simplify (-32)(1.2), the multiplication operation is performed as:
Multiplying -32 by 1.2 can be done as follows:
On simplifying the equation:
(-32)(1.2) = -38.4
On multiplying a negative number (-32) by a positive number (1.2), the result is a negative number.
Hence, (-32)(1.2) simplifies to -38.4.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
value of k, if (x – 1) is a factor of 4x3
+ 3x2
– 4x + k.
Answer:
k = - 3
Step-by-step explanation:
Given that (x - 1) is a factor of the polynomial then x = 1 is a root
Substitute x = 1 into the polynomial and equate to zero, that is
4(1)³ + 3(1)² - 4(1) + k = 0, that is
4 + 3 - 4 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3
Can someone please help me?
Answer:
9x
Step-by-step explanation:
If there were 9 songs per hour and x is hours, there we go!
Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55
Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.
The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.
Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.
Learn more about probability here:
https://brainly.com/question/14210034
#SPJ11
Please help Im so confused!
His mistake was adding 12+2 when he was supposed to subtract.
Tammy installs bathroom tiles. Her current job requires tiles that are equilateral triangles and all the tiles have to be congruent to each other. She has a big sack of tiles all in the shape of equilateral triangles. Although she knows that all the tiles are equilateral, she is not sure they are all the same size. What must she measure on each tile to be sure they are congruent? Explain.
Step-by-step explanation:
one side.
as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.
the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.
so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.
Downtown it snowed 1/10 of an inch inthe morning and 3/10 of an inch in the evening. How much more snow fell in the evening than in the morning?
Answer:
2/10
Step-by-step explanation:
Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.
Have an amazing day!
PLEASE RATE!!!
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
all of them please i need help with it its hw
The correct algebra properties are listed below:
EDHAIFCBGWhat properties are used in each case of algebraic operations?
In this problem we find nine cases of mathematical operations with real numbers, each case has to be defined by defining the appropriate property according to real algebra. Now we proceed to define each case:
11 + 0 = 11 Modulative property of addition (Correct choice: E)x · (y · z) = (x · y) · z Associative property of multiplication (Correct choice: D)8 + (- 8) = 0 Existence of additive inverse (Correct choice: H)14 + 20 = 20 + 14 Commutative property of addition (Correct choice: A)2 × (1 / 2) = 1 Existence of multiplicative inverse (Correct choice: I)22 × 1 = 22 Modulative property of multiplication (Correct choice: F)(19 + 12) + 8 = 19 + (12 + 8) Associative property of addition (Correct choice: C)a × 9 = 9 × a Commutative property of multiplication (Correct choice: B)7 · (4 + 11) = 7 · 4 + 7 · 11 Distributive property (Correct choice: G)To learn more on algebra properties: https://brainly.com/question/1448147
#SPJ1
A rectangle has a length of (2.4±0.1)m and a width of (1.2±0.2)m, Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. (a) Calculate the area and give its uncertainty. (Enter your answers in m
2
.) सR m
2
±m (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) बR m±m
Answer:
Area = 2.88m^
To calculate the area of the rectangle, we can multiply its length and width. Let's perform the calculation:
Length = (2.4 ± 0.1) m
Width = (1.2 ± 0.2) m
Area = Length × Width
Using the given values, we have:
Area = (2.4 ± 0.1) m × (1.2 ± 0.2) m
To find the area and its uncertainty, we'll apply the rules of error propagation. When multiplying two quantities with uncertainties, we add the relative uncertainties:
Relative uncertainty in length = (0.1 / 2.4) = 0.0417
Relative uncertainty in width = (0.2 / 1.2) = 0.1667
Relative uncertainty in area = Relative uncertainty in length + Relative uncertainty in width
= 0.0417 + 0.1667
= 0.2084
Area = (2.4 × 1.2) m² = 2.88 m²
i need help asap. rn
Answer:
4
Step-by-step explanation:
For this, you need to find the scale factor of two sides that are already given to you.
So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.
Hypotenuse:
15 / 5 = 3
Leg:
6 / 2 = 3
____________
So the scale factor is 3.
Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.
12 / 3 = 4
So, the answer is 4.
aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
For more references on division, click;
https://brainly.com/question/21416852
#SPJ1