Answer: 45
Step-by-step explanation: To find the percentage change you need to divide the new cost by the original cost. We then multiply that answer by 100. So in this case we’d divide 18 (the new cost) by 40 (the original cost) to get 0.45. We then multiply 0.45 by 100 to get 45.
if the cost of 8 boxes is rupees 243.20 the cost of one box
Answer:
30.4
Step-by-step explanation:
8 boxes = 243.20
find 1 boxes
= 243.20 ÷ 8
= 30.40 / 30.4
What is the value of x?
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27
Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mean was 7 feet and the range was 5 feet Which numbers describe the center and spread of this data set? A. 4 feet describes the center, and 9 feet describes the spread. , B. 7 feet describes the center, and 5 feet describes the spread C. 9 feet describes the center, and 4 feet describes the spread D. 5 feet describes the center, and 7 feet describes the spread.
Answer:
B) 7 feet is the median (center) and 5 is the range (spread)
Step-by-step explanation:
spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)
125
225
12.89
6. A swimming pool contains 2250 m of water. Its length is 45 m and its breadth is 25 m.
Calculate the depth of the water?
Answer:
2m
Step-by-step explanation:
[tex]2250 \div 25 = 90[/tex]
[tex]90 \div 45 = 2[/tex]
Use a graphing calculator for the following problem. If using a Casio fx-9750GII, follow the steps outlined in the Lesson to determine the linear, quadratic, or exponential equation that best models the data. For a linear model, round the slope and y-intercept to the nearest integer. For a quadratic model, round the coefficients to the nearest integer. For an exponential model, round ato the nearest integer and b to the nearest tenth.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5
The function is an exponential function and the function is, y = 100[tex]e^{-0.5x}[/tex].
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
We have the table.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5.
We have drawn a graph from the points.
And the graph is given in the attached image.
Then the exponential function,
y = 100[tex]e^{-0.5x}[/tex].
Therefore, the function is y = 100[tex]e^{-0.5x}[/tex].
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Use the diagram to find the measure of the given angle.
Answer:
50
Step-by-step explanation:
Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Step-by-step explanation:
7(3) - 3(4) > 10
21 - 12 > 10
9 > 10
0 > -1
The solution for the inequality is not in the given options.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 7x – 3y > 10
Seven x minus three times of y greater than ten
Now let us consider all the options to find the ordered pair of inequality.
When we substitute x and y value it should be greater than 10.
(1,2)
7(1)-3(2)>10
7-6>10
1>10 NO
(1,0)
7(1)-3(0)>10
7>10 NO
(3,4)
7(3)-3(4)>10
21-12>10
9>10 NO
(1,-1)
7(1)-3(-1)>10
7+3>10
10>10 NO
Hence the solution for the inequality is not in the given options.
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9/125 into a decimal fraction
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.072
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A bag of color tiles contains 2 red, 1 blue, 1 green, and 4 yellow. Sean reaches in and draws one
tile without replacing it. He then draws a second tile and a third tile without replacing them. Which
of the following combinations is a possible draw?
F:red,blue,blue G:red,green,green H:yellow,blue,green J:blue,blue,green
Answer:
H
Step-by-step explanation:
Since there is 4 yellows, 1 green, and 1 blue, there is no way you could draw 2 blues or 2 greens. Therefore, F, G, and J are immediately eliminated. The only answer left is H, and it makes sense. H is the answer.
Answer:
H: yellow, blue, green
Step-by-step explanation:
F: red, blue, blue = cannot be true as there is 1 blue tile in bag and it cannot be drawn twice without replacing first draw.
G: red, green, green = cannot be true because 1 original green tile in bag cannot be drawn twice
J: blue,blue, green = cannot be true for same reason; 1 original blue tile cannot be drawn twice without replacement.
What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answer:
x>-6
Step-by-step explanation:
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What are the vocabulary words for the other pairs (-2,0),(2,0)
Answer: Quadrant 3 and Quadrant 1
Step-by-step explanation:
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
if the probability of passing a driving test is 0.9,what is the probability of failing the driving test
Answer:
0.1
Step-by-step explanation:
Lol hi again . hope this helped you
In the figure shown, the measures of all angles are equal, and AB = EF.
What type of transformation appears to map ABC onto EFG?
A. reflection
B. translation
C. rotation
D. none of the above
Answer:
your answer will be C. rotation
Step-by-step explanation:
hope it helps...
have a great day!
The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.
For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).
Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.
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9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power
Which pair of trigonometric values is equivalent v
A. cos 113º, cos 67°
B. sin 71º, sin 19
C. cos 389, sin 38°
D.cos 65º, sin 25°
Answer:
D. Cos 65°,Sin 25°
Step-by-step explanation:
Since they are a pair of complementary trigonometric ratio. Complementary angles add up to 90° and so does 65° and 25°.
Answer B. did not qualify since they are from the same trigonometric ratio i.e sin.
If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds. When will the object hit the ground?
A. 6.67s
B. 3.34s
C. 13.34s
D. 1.67 s
Answer:
B. 3.34s
Step-by-step explanation:
Find t when the object hit the ground, h(t)=0.
h(t)=-16t²+178
0=-16t²+178
16t²=178
t²=11.125
t=√11.125=3.33541601603s
Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
B: the cost per pint of 3 pints of blueberries if the total cost is $6
Step-by-step explanation:
A is using multiplication
C is using addition and multiplication
D is using multiplication and addition.
Therefore, B would be your answer.
Hope this helps! :)
Answer:
Its B
Step-by-step explanation:
I got 100 on quiz
Write an equation with a variable AND solve it. Mario read 72 pages of his book in class and 13 pages per night, n, until he read 163 pages. How many nights did he read?
Equation:
Answer:
9514 1404 393
Answer:
72 +13n = 163
7 nights
Step-by-step explanation:
At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:
equation: 13n +72 = 163
__
To solve this, we can subtract 72, then divide by the coefficient of n.
13n = 91 . . . . . . subtract 72 from both sides
n = 7 . . . . . . . . divide both sides by n
Mario read 7 nights.
(2-3) exponent 4 (4)-9 divided by 3
Answer:
The correct answer is 1.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°
Answer:
Y = 27.8°
Step-by-step explanation:
Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C
Where,
c = 8
a = 17
b = 16
C = Y
Plug in the values
8² = 17² + 16² - 2*17*16*Cos Y
64 = 545 - 544*Cos Y
64 - 545 = -544*Cos Y
-481 = -544*Cos Y
Divide both sides by -544
-481/-544 = Cos Y
0.884191176 = Cos Y
Y = cos^{-1}(0.884191176)
Y = 27.8478491° ≈ 27.8° (nearest tenth)
Answer:
does any body have c?
Step-by-step explanation:
plz solve this one.................
Answer:
25 is correct answer please mark me as brainiest answer
Answer:
id.k
Step-by-step explanation:
(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.
Answer:
g(x) = Ix/2 + 1I
Step-by-step explanation:
First, let's describe the transformations in a general way.
Horizontal translation.
For a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Horizontal stretch.
For a function f(x) a horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
Then if we have the function f(x) = IxI
First we do a translation of 2 units to the left, then we have N = 2
The transformation is:
g(x) = f(x + 2)
Now we do a horizontal stretch by a factor of 2.
g(x) = f( (x + 2)/2=
g(x) = f( x/2 + 1) = Ix/2 + 1I
The equation of the final graph is:
g(x) = Ix/2 + 1I
When Lucas first opened his bank account, he deposited x amount of
money in there. The second week, he deposited the same amount of
money in his bank account. Two weeks later, he wrote a check for $116
and ended up having -$6 in his balance. How much money did Lucas
deposit when he first opened his account?
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
1/4x - 8=4. I am not understanding this question can someone help me plssss.
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.
For the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series.
f(x)=∫x9cos(x3) dx
Answer:
a. [tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(2n)!} + C_1[/tex]
b. [tex]\displaystyle P_5(x) = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Sequences
Series
MacLaurin Polynomials
MacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + \cdots + \frac{f^n(0)}{n!}x^n + \cdots[/tex]MacLaurin Series: [tex]\displaystyle P(x) = \sum^{\infty}_{n = 0} \frac{f^n(0)}{n!}x^n[/tex]Power Series
Power Series of Elementary FunctionsMacLaurin PolynomialsTaylor PolynomialsIntegration of Power Series:
[tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} a_n(x - c)^n[/tex] [tex]\displaystyle \int {f(x)} \, dx = \sum^{\infty}_{n = 0} \frac{a_n(x - c)^{n + 1}}{n + 1} + C_1[/tex]Step-by-step explanation:
*Note:
You could derive the Taylor Series for cos(x) using Taylor polynomials differentiation but usually you have to memorize it.
We are given and are trying to find the power series:
[tex]\displaystyle f(x) = \int {x^9cos(x^3)} \, dx[/tex]
We know that the power series for cos(x) is:
[tex]\displaystyle cos(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{2n}}{(2n)!}[/tex]
To find the power series for cos(x³), substitute in x = x³:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n (x^3)^{2n}}{(2n)!}[/tex]
Simplifying it, we have:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}[/tex]
Rewrite the original function:
[tex]\displaystyle f(x) = \int {x^9 \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}} \, dx[/tex]
Rewrite the integrand by including the x⁹ in the power series:
[tex]\displaystyle f(x) = \int {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 9}}{(2n)!}} \, dx[/tex]
Integrating the power series, we have:
[tex]\displaystyle f(x) = {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1[/tex]
To find the first 5 nonzero terms of the power series, we simply expand it as a MacLaurin polynomial:
[tex]\displaystyle P_5(x) = {\sum^4_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1 = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
Topic: AP Calculus BC (Calculus I + II)
Unit: Power Series
Book: College Calculus 10e
HELPPPP MEEE PLEEASSEEEE !!!
Answer:
67°
Step-by-step explanation:
Angle 67° and that at H are corresponding this are equal.
Therefore 67+46=113°
180-113=67 as the answer
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
choice 1) 6 inches
Step-by-step explanation:
3 x 10 x ? = 180
? = 6
Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22
The value of x from the given circle C is 3 units.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
From the given figure, AB and AD are the tangents from same external point.
Then, AB=AD
2x²+4=22
2x²=22-4
2x²=18
x²=9
x=±√9
x=±3
Therefore, the value of x from the given circle C is 3 units.
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