Answer:
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Step-by-step explanation:
We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:
[tex]y = \sinh^{-1} (x^{2}+1)[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x
One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.
Please answer this correctly!!!
Answer:
The answer would be D
Step-by-step explanation:
X = 3.9 *10^7 - 1.3 * 10^6
X= 3.7 * 10^7
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
x + 10 + 3x + 28 = 90
4x = 52
x= 13
Step-by-step explanation:
Angle B = 67
Daily Distance Larry Biked (Km)
3 5 12 2 1
8 5 8 6 3
11 8 6 4 10
10 9 6 6 6
5 2 1 2 3
What was the most common Distance Larry Bike?help please
Answer:
The most common distance that Larry biked was of 6 Km.
Step-by-step explanation:
The most common distance that Larry biked is the number, in Km, which appears most frequently in this table.
The number which appears the most frequently is:
6 km
This means that the most common distance that Larry biked was of 6 Km.
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
20 POINTS PLS AWNSER
Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. What is the most appropriate domain of the function?
A) all integer values of x
B all positive integer values of x
C OsXs 2 where x is an integer
D OsXs 3 where x is an integer
The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. The most appropriate domain of the function; A) all integer values of x.
How to evaluate a given mathematical expression with variables if the values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
The function is a type of relation, or rule, that maps one input to a specific single output.
Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store.
Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each.
The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases.
The most appropriate domain of the function;
A) all integer values of x
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Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese
help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
please i’ve gotten two wrong and i need to pass this
Answer:5 and 92
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's the answer choices ??
what percent of 29 is 3 in equation form
Answer:
3=p*29
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
(29×3) ÷ 100
but I'm not sure):
Which expression is equivalent to square root a^7
Answer is d
Step-by-step explanation:
If you multiply a^6 and a it equals a^7
Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?
Answer:
$35.70
Step-by-step explanation:
small package: 2.10×6=12.60
large package: 3.30×7=23.10
total: 23.10+12.60=35.70
Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high. She is building with cubes that have side lengths of 12 meter. What is the volume of the box she needs to build in cubic meters?
9514 1404 393
Answer:
1344 cubic meters
Step-by-step explanation:
The volume is the product of the dimensions for a rectangular prism:
V = LWH
V = (4 m)(3 m)(112 m) = 1344 m³
Kate needs a volume of 1344 cubic meters.
What is the value of x???
Answer:
22.5
Step-by-step explanation:
22.5 x 3 = 67.5
67.5 + 22.5 = 90
voting rates in presidential elections from 1996-2012 are modeled below
The statement that does not model the situation:
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
Given:
Voting rates in presidential elections from 1996-2012 are modeled below.
Voting Rates in Presidential Elections, by Age, for the Voting-Age Citizen Population: 1996-2012
The interpretation of the statements is given below;
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
No, the greatest was in the year 2008.
(2) From 1996-2012, the average rate of change was positive for only two age groups.
True, the age groups are 39.6 to 45.0 and 69.1 to 72.0.
(3) About 70% of people 45 and older voted in the 2004 election.
Yes.
(4) The voting rates of eligible age groups lie between 35 and 75 percent during presidential elections every 4 years.
Yes, the interval difference is 4.
Therefore, option (1) is incorrect.
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2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum
Answer:
mad- 8.9796
iqr- 15
q1- 88
q2- 92
q3- 103
minimum- 85
maximum- 120
Step-by-step explanation:
the explanation is the picture **sorry i couldn't help with the dot plot**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
You bought a magazine for $3 and some
candy bars for $5 each. You spent a total
of $28. How many candy bars did you
buy
Answer: you bought 5 candy bars
Step-by-step explanation:
total is 28 you subtract 3 for the magazine you bought & end up with 25 dollars & each candy bar is 5 so you divide the 25 by 5 & end up with 5
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
Maria bought apples(a) for $2.32 per pound and bananas(b) for $1.65. She spends $31.42. Write the equation for this situation.
Answer:
$31.42-(2.32+1.65)
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, while in English, any equality is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.
The diameter of a circle is 26 yards. What is the circle's circumference?
Use 3.14 for a
yards
Submit
Answer: 26 yards
Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.
I'm not sure if it works in every case but you can try it ^^
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Pls help meee show work if you can ty
solve for x without using a calculator
x^4+81=0
Answer:
the answer to the equation is x= -3
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
from the pic above, hope it helps you
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met
Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Answer:
The I is 12.
Step-by-step explanation:
You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY
Answer:
36
Step-by-step explanation:
(figure out length of triangle)24-12=12
(find full length of base which is equal to L of rectangle)24+12=36
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
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