Answers
Answer:
Step-by-step explanation:
Related Questions
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?
Answers
Answer:
2m
Step-by-step explanation:
[tex]2250 \div 25 = 90[/tex]
[tex]90 \div 45 = 2[/tex]
(08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
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?
Answers
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
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.
Answers
Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?
A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km
Answers
9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power
Answers
Hopefully it’s right
Find the value of x
Answers
Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Answers
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
Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Answers
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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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
Answers
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
the cost of 5kg of potatoes is 3.60£ the cost of 1/2 kg of carrots is 31p. Work out the cost of 13kg of potatoes and 21/2 of carrots
Answers
Answer: 13kg potatoes=9.36 2.5 of carrots=155p
Step-by-step explanation:
potatoes 5kg=3.6 carrots .5kg=31p
value of each kg of potatoes is...
[tex]\frac{3.6}{5} =.72[/tex]
so
[tex]13*.72=9.36[/tex]
value of each kg of carrots is...
31x2=62
so (I assumed when you typed 21/2 it meant 2 1/2 or 2.5)
2.5x62=155
The cost of 13 kg of potatoes is $ 9.36
The cost of 2 1/2 kg of carrots is $ 155p
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 5 kg of potatoes be = $ 3.60
Let the cost of 1/2 kg of carrots be = 31p
Now , the equation is
The cost of 1 kg of potatoes = cost of 5 kg of potatoes / 5
= 3.60 / 5
= $ 0.72
So ,
The cost of 13 kg of potatoes is = 13 x cost of 1 kg of potatoes
= 13 x 0.72
= $ 9.36
Now , the equation is
The cost of 1 kg of carrots = cost of 1/2 kg of carrots x 2
= 31 x 2
= 62p
The cost of 2 1/2 kg of carrots is = 2 1/2 x cost of 1 kg of carrots
= 2 1/2 x 62
= 155p
Therefore , the cost of 13 kg of potatoes is $ 9.36 and cost of 2 1/2 kg of carrots is $ 155p
Hence ,
The cost of 13 kg of potatoes is $ 9.36
The cost of 2 1/2 kg of carrots is $ 155p
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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
Answers
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
The dot plots below show the scores for a group of students for two rounds of a quiz:
Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 4 dots above the mark 4 and there are 4 dots above the mark 5. For the bottom dot plot there are 2 dots above the mark 1. There are 2 dots above the mark 2, there is 1 dot above the mark 3, there are 2 dots above the mark 4 and there is 1 dot above the mark 5.
Which of the following inferences can be made using the dot plots?
The range of round 2 is greater than the round 1 range.
Round 2 scores are higher than round 1 scores.
Round 1 scores are lower than round 2 scores.
There is no overlap between the data.
Answers
The first one adds up to 34 while the second adds up to 36. This puts C and D to false.
please help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
choice 1) 6 inches
Step-by-step explanation:
3 x 10 x ? = 180
? = 6
Write an equivalent expression for 6x -2k - x + 9k
Answers
Answer:
6x-x-2k+9k or the answer
Step-by-step explanation:
6x-x=-2k+9k
5x=7k
What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answers
Answer:
x>-6
Step-by-step explanation:
please mark me as brainliest answer
What are the vocabulary words for the other pairs (-2,0),(2,0)
Answers
Answer: Quadrant 3 and Quadrant 1
Step-by-step explanation:
plz help me thank u very much
Answers
Answer:
Px = √27 = 3√3
Step-by-step explanation:
∆Pxy is a right triangle.
Py = 6
xy = ½*6 = 3
Use pythagorean theorem to find Px.
Px = √(Py² - xy²)
Px = √(6² - 3²)
Px = √(36 - 9)
Px = √27 = 3√3
I WILL GIVE BRAINLYIST IF UR QUICK ITS TIMEDDDD TOOOOO
Answers
Answer:
B I belive
Step-by-step explanation:
Helppp I’ll brainlest....
Answers
Answer:
1.) B
2.) B
Step-by-step explanation:
1.) The outlier is a dot that is no where near the rest of the data.
2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.
For test 1 the median is 75
For test 2 the median is 85
9/125 into a decimal fraction
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.072
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
find the area, round to the nearest tenth if necessary
Answers
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends
Answers
Answer:
It would be right skewed.
Step-by-step explanation:
As you can see, the graph gets smaller as it goes to the right.
PLZ GIVE BRAINLIEST
Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22
Answers
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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plz solve this one.................
Answers
Answer:
25 is correct answer please mark me as brainiest answer
Answer:
id.k
Step-by-step explanation:
Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°
Answers
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:
what is 489.2 divided by 234.8 multiplied by 567 multiplied by .91?
Answers
Answer:
107,501.0749574106
hope this number helps :)
Answer:
1075.01074957
Step-by-step explanation:
(489.2/ 234.8) 567 times 91
Hope this helps you.
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:
Answers
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.
Find the missing angle measurements. 60° 64 45° 49° 53 56 2 ? 649 71°
Answers
Answer:
The angle vertical to 64° is also 64°
The angle on the upper right side is 60°
The angle on the lower left side is 45°
Step-by-step explanation:
180 - 64 - 56 = 60°
180 - 64 - 71 = 45°
Answer:
The angle vertical to 64° is also 64°
The angle on the upper right side is 60°
The angle on the lower left side is 45°
Step-by-step explanation:
i just took the test
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
Answers
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