What is 39.098 rounded?
Answers
The given number is 39.098.
If we round its nearest ten, we have
\(39.098\approx39\)The approximation is to the same 9 because there are zero tenths.
Therefore, the rounded number would be 39.Related Questions
Show the solution and answer
(3x + 5)(x - 9)
Answers
Answer : 3x^2 -22x -45
You basically cross multiply each term by the opposing one, so 3x times x would be 3x^2 , 3x times 9 would be -27x, 5 times x would be 5x, and 5 times -9 would be -45 :)
what is the surface area of the figure below
Answers
Answer:
54 ft
Step-by-step explanation:
So... the volume is length x width x height = volume.
So... 6 x 3 x 3 = 54 ft
Hope this helps =]
Time sensitive! Please get back to me within the next 30 minutes :)
At a bakery, a latte costs three times as much as a bagel. I bought a latte and a bagel, and the
total cost was $5.00. How much does a latte cost, and how much does a bagel cost?
Answers
Answer:
bagel $1.25
latte: $3.75
Step-by-step explanation:
Let the price of a bagel = b.
A latte costs 3 times as much as a bagel, so the price of a latte is 3b.
b + 3b = 5
4b = 5
b = 1.25
3b = 3.75
Answer:
bagel $1.25
latte: $3.75
Answer: A bagel cost 1.25$ and a latte cost 3.75$
Step-by-step explanation:
Let a latte be y
Let a bagel be x
3x = y Total cost = 5$
A bagel is x, plus the 3x
4x = 5
x = 1.25
Sub back into 3x = y
3*1.25 = 3.75
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
Answers
Find the consumers surplus
Answers
The consumer surplus is approximately $145.83.
To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:
D(x) = √(739 - 3x)
Setting D(x) equal to the equilibrium price of $25, we get:
25 = √(739 - 3x)
Squaring both sides, we get:
625 = 739 - 3x
Solving for x, we get:
So at a price of $25 per unit, the consumer is willing to buy 38 units per month.
Now we can calculate the consumer's surplus.
The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:
\(CS = \int_0^{38} [D(x) - 25] dx\)
where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.
Evaluating this integral, we get:
\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)
Therefore, the consumer surplus is approximately $145.83.
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can you please help me ASAP
PLEASE SHOW YOUR WORK
Answers
Step by step
The instructions say to graph so I did. The x values where the line crosses the x axis are x= 2 and x=0.
To prove algebraically
Substitute the value of x into your equation
x = 2
f(x) = 5/2x - 5
f(x) = 5/2x = 5
f(x) = 5/2(2) = 5
f(x) = 10/2 = 5
f(x) = 5 = 5
Solution is true
x = 0
f(x) = 5/2x - 5
f(x) = 5/2x = 5
f(x) = 5/2(0) = 5
f(x) = 0 = 5
Solution is NOT true
So your answer is f(x) = 2
If you solved y= 5/2x -5
Change equation to standard form
-5/2x + y = -5
Substitute 0 for y and solve for x
-5/2x + (0) = -5
Divide both sides by -5/2 by inverse (flipping) the fraction and multiplying
-5/2 * -2/5 x = -5 * -2/5
Simplify
x = 2
Please see the attached
Answers
a. Monthly payment for the bank's car loan is $407.67
b. Monthly payment for the savings and loan association's car loan is $315.99
c. Total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.
What is interest rate?The cost of borrowing money, usually expressed as a percentage of the amount borrowed, is what a lender charges a borrower to use their money. This cost is known as an interest rate.
(a) To find the monthly payment for the bank's car loan, we can use the formula for the present value of an annuity:
\(PV = PMT * \frac{1 - (1 + \frac{r}{n})^{(-n*t)}}{\frac{r}{n} }\)
putting the given values,
⇒ \(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*5)}}{\frac{0.065}{12} }\)
Solving for PMT, we get:
PMT = $407.67
Therefore, the monthly payment for the bank's car loan is $407.67
(b) To find the monthly payment for the savings and loan association's car loan, we can use the same above formula:
where PV is still $21,000, PMT is the monthly payment, r is still 0.065, n is still 12, but t is now 7 years x 12 months/year = 84 payments.
putting the given values,
\(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*7)}}{\frac{0.065}{12} }\)
Solving for PMT, we get:
PMT = $315.99
Therefore, the monthly payment for the savings and loan association's car loan is $315.99.
(c) Bank's car loan: $407.67 x 60 = $24,460.20
Savings and loan association's car loan: $315.99 x 84 = $26,495.16
Therefore, the bank's car loan would have the lowest total amount to pay off, by: $26,495.16 - $24,460.20 = $2,034.96
Therefore, the total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.
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Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answers
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Please help asap !!! I will give points !!!
Answers
The value of p when q is 2 is 1
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means that has x increases y will decrease and vice versa.
If p is inversely proportional to q , then p = kq
when p = 2, q = 4
2 = k4
k = 2/4
k = 1/2
When q = 2
p = 1/2 × 2
p = 1
Therefore the value of p is 1
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Find both the transfer function, H(s), and the impulse response function, h(t), of the system described by the following differential equations that relate inputs f(t) to out- puts y(t). Assume that these are zero state systems. (a) 7 + 12y = (b) + 2 + 17y = f (e) de + 2 dvd + 177 = 2 + 3f (d) **+ 10424 +184 + 16y = 30%£ + 60f + 4f d
Answers
(a) The transfer function, H(s), which is the result of the Laplace transform of two sides of the differential equation also solution for Y(s)/F(s), where Y(s), F(s) are transform of of y(t) and f(t).
7Y(s) + 12Y(s)S = F(s)
Y(s)/F(s) = 1 / (7 + 12S)
Therefore, the transfer function is:
H(s) = 1 / (7 + 12S)
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {1 / (7 + 12S)}
Using partial fraction decomposition, we can write:
1 / (7 + 12S) = (1/12) / (s + 7/12)
Therefore, the impulse response function is:
h(t) = (1/12) e^(-7/12 t)
(b) Following the same procedure as in part (a), we obtain:
H(s) = (1 / (2 + 17S))
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {1 / (2 + 17S)}
through partial fraction
1 / (2 + 17S) = (-1/15) / (s + 2/17) + (2/15) / (s + 1/2)
the impulse reverse function
h(t) = (-1/15) e^(-2/17 t) + (2/15) e^(-1/2 t)
(c) By using the same method used in a and b
H(s) = (24 + 5S) / (2 + 3S)
To find the impulse response function, we take the inverse Laplace transform of H(s):
h(t) = L^-1 {H(s)} = L^-1 {(24 + 5S) / (2 + 3S)}
Partial fraction decomposition can be used
(24 + 5S) / (2 + 3S) = (8/3) - (4/3) / (s + 2/3)
h(t) = (8/3) δ(t) - (4/3) e^(-2/3 t)
(d) by following the methods used above
H(s) = (30F + 60S + 4S^2) / (10 + 18S + (1/3)S^2 + 4S^3)
To find the impulse response function, we take the inverse Laplace transform of H(s). However, the algebraic manipulation required to obtain the inverse Laplace transform in this case is quite involved and not practical to carry out here.
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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answers
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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Vicky made some purchases at the
Sunflower Market. She bought strawberries
for $3.50, carrots for $2.25 and a bouquet of
flowers for $9.95. If sales tax is 5%, what will
Maria pay altogether?
1. $16.48
2. $15.70
3. $16.49
4. $16.50
Answers
Step-by-step explanation:
Vicky Bought:
Strawberries $3.50
Carrots $2.25
Flowers $9.95
Subtotal $3.50 + $2.25 + $9.95
= $15.70
5% Sales Tax (5% of Subtotal) = 5/100 x $15.70
= $0.785 (will not round off here as it is not the final answer.)
Total = Subtotal + 5% Sales Tax
= $15.70 + $0.785
= $16.485
= $16.49 (rounded off to nearest cent)
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
Answers
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
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Which equation can be used to solve for x xx in the following diagram? Choose 1 answer: (Choice A) A ( 5 x + 30 ) − 5 x = 90 (5x+30)−5x=90left parenthesis, 5, x, plus, 30, right parenthesis, minus, 5, x, equals, 90 (Choice B) B ( 5 x + 30 ) + 5 x = 180 (5x+30)+5x=180left parenthesis, 5, x, plus, 30, right parenthesis, plus, 5, x, equals, 180 (Choice C) C ( 5 x + 30 ) + 5 x = 90 (5x+30)+5x=90left parenthesis, 5, x, plus, 30, right parenthesis, plus, 5, x, equals, 90 (Choice D) D 5 x = ( 5 x + 30 ) 5x=(5x+30)
Answers
Answer: answer is C
Step-by-step explanation:
for find x
(5x+30)+5x=90
5x+30+5x=90 add like terms
after,
10x+30=90
10x+30-30=90-30
10x/10=60/10
x = 6
to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90
1....
1) 3х = 27
2) 5х-2 = 25
3) (1/7)х = 49
4) 2х+8 = 1/32
5) 6х-4 = 36
6) 3х+2+3х = 90
2...
1) 2х = 32
2) 6х-3 = 36
3) (2/3)х = 1,5
4) 52х-1 = 0,2
5) 9х-1 = 81
6) 2х+1+2х = 96
Answers
Answer:
Step-by-step explanation:
3x=27
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
Answers
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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IXL pls help!.....................
Answers
Answer:
7 meters
Step-by-step explanation:
Simple solving method:
15 - 8 = 7
Answer:
7 meters
Step-by-step explanation:
yayayayayayayay
3(y+1/4)>3/4 determine the value of y for the inequality
Answers
Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.
What is inequality?An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.
Here,
We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:
3y + 3/4 > 3/4
Next, we can simplify by subtracting 3/4 from both sides:
3y > 0
Finally, we can solve for y by dividing both sides by 3:
y > 0/3
y > 0
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Amelia and Lucas' son Weights 38.3 pounds. one kilogram is equal to approximately 2.2 pounds Convert their son's weight to kilograms.
Answers
Amelia and Lucas' son's weight is 17.41 kilograms.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
We have,
Amelia and Lucas' son's Weight = 38.3 pounds.
1 kilogram = 2.2 pounds
Multiply 38.3/2.2 on both sides.
17.41 kilograms = 38.3 pounds
Thus,
Amelia and Lucas' son's weight is 17.41 kilograms.
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The expression 10 - b\4 is equal to (blank) for b = -24
Answers
Answer:
16
Step-by-step explanation:
When we substitute -24 for b in the given expression, we have:
\(10 - \frac{ - 24}{4} = 10 + \frac{24}{4} = 10 + 6 = 16\)
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Answers
The safest way for someone to make an online purchase is to
A.ask friends what websites are secure.
B.check with the government first.
C.buy from a reputable website.
D. visit a locally run website.
Answers
Answer:
It is C - buy from a reputable website
Step-by-step explanation:
I got it right on the quiz. Good luck and may the Lord bless you!
Step-by-step explanation:
The safest way for someone to make an online purchase is to buy from a reputable website.
We have given that,
A.ask friends what websites are secure.
B.check with the government first.
C.buy from a reputable website.
D. visit a locally run website.
We have to determine
The safest way for someone to make an online purchase is to
What is the online purchases?Online shopping is a form of electronic commerce that allows consumers to directly buy goods or services from a seller over the Internet using a web browser or a mobile app.
Therefore option C is correct.
Therefore the safest way for someone to make an online purchase is to buy from a reputable website.
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What is the value of x?
Answers
from here you add the angles:
105+135+45= 285
so, subtract 360-285=75. since this question is asking the value of x, divide 75 by 3, which gives you the answer 25.
x=25
A sequence is shown below.
- 6.75, - 7, - 7.25, - 7.5, …
Which explicit expression can be used to determine the value of the nth number in the sequence?
A. an = 0.25n + 1.75
B. an = n - 0.25
C. an = - 0.25n - 6.5
D. an = - n + 6.25
Answers
The explicit expression that can be used to determine the value of the nth number in the sequence -6.75, -7, -7.25, -7.5, … is aₙ = -0.25n - 6.5.
What is the explicit expression that can be used to determine the value of the nth number in the sequence?The formula for arithmetic sequence is expressed as;
aₙ = a₁ + d( n - 1 )
Given the sequence in the question;
-6.75, -7, -7.25, -7.5, …
The first term a₁ = -6.75
Next, calculate the common difference;
d = -7 - ( -6.75 )
d = -7 + 6.75
d = -0.25
Plug in the values into the formula above and simplify.
aₙ = a₁ + d( n - 1 )
aₙ = -6.75 + -0.25( n - 1 )
aₙ = -6.75 - 0.25( n - 1 )
aₙ = -6.75 - 0.25n + 0.25
Add like terms
aₙ = -0.25n + 0.25 - 6.75
aₙ = -0.25n - 6.5
Therefore, the explicit expression is -0.25n - 6.5.
Option C) aₙ = -0.25n - 6.5 is the correct answer.
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84.4% of what number is 19.412?
Answers
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Can someone help me answer this question?
Answers
WILL GIVE BRAINLIST IF CORRECT!!
The diameter of a red blood cell is about 0.0008 cm. The diameter of a whooping cough virus is about 2.5 x 10-5 cm. What is the approximate ratio of the diameter of the red blood cell to the diameter of the whooping cough virus? LOOK AT PICTURE
A.) 3.2 × 10^1
B.) 3.1 × 10^-3
C.) 3.1 x 10^-2
D.) 3.2 × 10^2
Answers
Answer:
b
Step-by-step explanation:
as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct
Answer:
a
Step-by-step explanation:
just did it and got right
Hello all! Please help me out with this.
I want to find a certain number which I will call Y. It is four times as great as another number which is two less than twenty. What is Y?
Answers
Answer:
Y=72
Step-by-step explanation:
First we set up the equation which is (20-2) times 4=Y
Then we solve, 20 minus 2 is risk since it is in the parentheses. 20 minus 2 is 18.
After that 18 times 4 is 72
Y=72
HELP!!!!!!!!!!!!!!!!!!!!!! Just look at image
Answers
the answer is E.) none of the above
For the function f(x)=-4•(0.3)^x+1, identify the y-intercept and asymptote.
Y-intercept:
Asymptote:
Answers
Answer:
-3; 1
Step-by-step explanation:
y-intercept is when x = 0
y = -4(0.3)^0 + 1
anything to the power of 0 is 1
y = -4(1) + 1
y = -4 + 1
y = -3
The asymptote of an exponential function is the vertical translation which in this case is 1