Answer:
d = 359 + 344d
Step-by-step explanation:
d = 359 + 344d
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 5√49 − x2
y = 0
x = 2
x = 4
Answer:
V = 4316.75 π
Step-by-step explanation:
Given that:
[tex]y = 5 \sqrt{49 -x^2}[/tex] y = 0, x = 2, x = 4
[tex]V = \pi \int \limits ^{x=4}_{x=2} y^2 \ dx[/tex]
where;
y² = 25 (49 - x²)
[tex]V = 25 \pi \int \limits ^4_2 (49-x^2) dx[/tex]
[tex]V = 25 \pi [ (49x-\dfrac{x^3}{3}]^4_2[/tex]
[tex]V = 25 \pi [ 49\times 4 -\dfrac{4^3}{3} - 2][/tex]
[tex]V = 25 \pi [ 196-21.33 - 2][/tex]
[tex]V = 25 \pi [ 172.67][/tex]
V = 4316.75 π
Una prueba de resistencia se realiza en un circuito de 1.54 km.¿Cuántos kilómetros recorre el corredor si da 6 vueltas?
PORFAVOR AYUDA EN MENOS DE 15 MINUTOS
Answer:
La corredora correría 9 kilómetros y 24 pies.
Step-by-step explanation:
multiplique la longitud de una vuelta (1.54) por cuántos de ellos corrieron (6) para obtener cuántos kilómetros corrieron (9.24)
two consecutive integers who sum of 111
Answer:
55 and 56
Step-by-step explanation:
Let the first number = k
the second number = k + 1
k + k + 1 = 111
2k + 1 = 111
2k = 111 - 1
2k = 110
k = 110/2
k = 55
The two numbers are 55 and 56
How do you do this question?
Step-by-step explanation:
F(x) = ∫ₓᵃ sin(2t) dt
Use the identity:
-F(x) = ∫ₐˣ sin(2t) dt
Take derivative using fundamental theorem of calculus.
-F'(x) = sin(2x)
F'(x) = -sin(2x)
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]
Reduce the right:
[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]
Cross multiply:
[tex]x=11.4[/tex]
So, the value of x is 11.4
And we're done!
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone
call she made.
Cost of International
Long Distance Phone Calls
3
Cost of Call (dollars)
.
N
.
.
0
6 12 18 24
Length of Call (minutes)
Which conclusion is best supported by the scatterplot?
Answer:b
Step-by-step explanation:
Answer:d there is no relationship time and cost varies
Step-by-step explanation:
its conman sense
Solve x[tex]x^{2} = 225[/tex]
Hi there!
~
Let's solve your equation step-by-step.
[tex]x^{2} =\ 255[/tex]
Step 1: Take square root.
[tex]x =[/tex] ± [tex]\sqrt{255}[/tex]
[tex]x = \sqrt{255}[/tex] or [tex]= - \sqrt{255}[/tex]
Hope this helped you!
Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
Answer:
Step-by-step explanation:
x+y=180
y=5*x+6
so
x+5x+6=180
6x=180-6
6x=174
x=174/6
x=29 degrees
y=29*5+6
y=145+6=151
y=151 degrees
Sam hss 100 cheese slices to make sandwiches. The equation below can be used to find s, the number of sandwiches he can make based on c, the number of cheese slices per sandwich.
s=100/c
Which equation is the same when solved for c in terms of s?
F. C=100/c
G. C=s/100
H. C=100-s
J. C= s-100
h c=100-s thats the cooreect answer
Answer:
G
Step-by-step explanation:
ion kno how to explain♀️♀️
the number in each block is the sum of the numbers in the two blocks beneath it. Some of the numbers are hidden. What is the value of y - x
Answer:
y - x = 69
Step-by-step explanation:
From the figure attached,
Number in each block is the sum of the numbers in the block beneath it.
Therefore, A + 21 = 32 ⇒ A = 11
A + 5 = B ⇒ B = 16
C = 5 + x
D = 32 + B ⇒ D = 32 + 16 = 48
E = B + C ⇒ E = 16 + (5 + x)
⇒ E = 21 + x
y = D + E ⇒ y = 48 + (21 + x)
y = 48 + 21 + x
y = 69 + x
y - x = 69
Therefore, y - x = 69 will be the answer.
Translate and solve: 24.67 is what percent of 129? Rounded to the nearest tenth of a percent.
Answer:
31.8
Step-by-step explanation:
24.67x129
=>31.82
=>31.8
If g(x) = x^2 – 2x – 6 and h(x) = 2x^2 – 5x + 2 find (h – 9) (-2)
Answer: (h-g)(-2)=18
Step-by-step explanation:
(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.
Method 1
h(-2)=2(-2)²-5(-2)+2 [exponent]
h(-2)=2(4)-5(-2)+2 [multiply]
h(-2)=8+10+2 [add]
h(-2)=20
g(-2)=(-2)²-2(-2)-6 [exponent]
g(-2)=4-2(-2)-6 [multiply]
g(-2)=4+4-6 [add then subtract]
g(-2)=2
(h-g)(-2)=20-2 [subtract h(-2) and g(-2)]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Method 2
(h-g)(x)=2x²-5x+2-(x²-2x-6) [distribute -1]
(h-g)(x)=2x²-5x+2-x²+2x+6 [combine like terms]
(h-g)(x)=x²-3x+8
(h-g)(-2)=(-2)²-3(-2)+8 [plug in x=-2, exponent]
(h-g)(-2)=4-3(-2)+8 [multiply]
(h-g)(-2)=4+6+8 [add]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Now, we know that (h-g)(-2)=18. We confirmed this with both methods.
Give the next three terms in each Arithmetic Sequence and the common difference
Answer:
A) Sequence: -5, -10, -15, -20, -25, -30, -35, -40 cd = -5
B) Sequence: -1, 2, 5, 8, 11, 14, 17, 20 cd = 3
C) Sequence: 17, 19, 21, 23, 25, 27, 29, 31 cd = 2
D) Sequence: 11, 16, 21, 26, 31 , 36, 41, 46 cd = 5
E) Sequence: -9, -6, -3, 0, 3, 6, 9, 12 cd = 3
Step-by-step explanation:
A) Sequence: -5, -10, -15, -20, -25
The common difference (cd) - which is the number that we need to add to each term in order to get the next - is -5
and the next three terms are: -30, -35, -40.
B) Sequence: -1, 2, 5, 8, 11,
The common difference is 3, cd = 3
so the next three terms in the sequence are; 14, 17, 20
C) Sequence: 17, 19, 21, 23, 25,
the common difference is 2, cd = 2
so the next three terms in the sequence are: 27, 29, 31
D) Sequence: 11, 16, 21, 26, 31
the common difference is 5, cd = 5
so the next three terms of the sequence are: 36, 41, 46
E) Sequence: -9, -6, -3, 0, 3,
the common difference is 3, cd = 3
so the next three terms in the sequence are: 6, 9, 12
Jade had $520 to spend on extra items this month. She spent .15 on art supplies, 1 10 was spent at the book store, 3 5 was spent at Chicka-fila. How much did she have left of her extra money?
Answer:
515.25 is what she got left
Step-by-step explanation:
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 8/9
Answer:
Rational numbersStep-by-step explanation:
A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.
The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.
Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.
Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.
Conclusively, 8/9 is only classified as a rational number
What the square root of 50/ 250 (rounded to 2 decimal places)? * 0.45 0.44 0.47 0.46
Answer:
[tex]Root = 0.44[/tex]
Step-by-step explanation:
Required
Determine the square root of [tex]\frac{50}{250}[/tex]
Start by simplifying the fraction
[tex]Digit = \frac{50}{250}[/tex]
Divide the numerator and denominator by 50
[tex]Digit = \frac{1}{5}[/tex]
Next, determine the square root;
[tex]Root = \sqrt{\frac{1}{5}}[/tex]
Split the squarer root
[tex]Root = \frac{\sqrt{1}}{\sqrt{5}}[/tex]
[tex]Root = \frac{1}{\sqrt{5}}[/tex]
Rationalize
[tex]Root = \frac{1}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}[/tex]
[tex]Root = \frac{\sqrt{5}}{5}[/tex]
[tex]Root = \frac{2.2360679775}{5}[/tex]
[tex]Root = 0.4472135955[/tex]
[tex]Root = 0.44[/tex] --- Approximated
Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.
Answer:
X = 7n + 3
Step-by-step explanation:
x= dimes
n=nickels
X = 7n + 3
What is the perimeter of the rectangle with length of 2x + 3 and width of 5x – 5? Explain your process to find the perimeter.
Answer:
14x-4
Step-by-step explanation:
length:2x+3
width:5x-5
perimeter of rectangle:2(l+b)
:2(2x+3+5x-5)
:2(7x-2)
:14x-4
•••The perimeter of rectangle(p)=14x-4
What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??
Answer:
200,000+10,000+700+4
Step-by-step explanation:
How much is 5 divided by 3/10?
Answer:
16.6666666667
Step-by-step explanation:
Answer:
16 2/3
Step-by-step explanation:
Step 1:
5/1 ÷ 3/10
Step 2:
5/1 × 10/3
Step 3:
50/3
Answer:
16 2/3
Hope This Helps :)
Hello, please help with this question. Thanks.
Answer:
x = 17
Step-by-step explanation:
4x +22 = 90
4x = 68
x = 68/4
x = 17
identify the method that will be used to solve for x for each equation. 4x = 20 5x + 6x = 22
Step-by-step explanation:
Identify the method that will be used to solve for x for each equation.
4x=20 division property fo equality
x-11=9 addition property of eqaulity
5x+6x=22 Combining Like terms
5(x-2)=30 distibute property
Answer:
ello
Step-by-step explanation:
Identify the method that will be used to solve for x for each equation.
4x=20 division property fo equality
x-11=9 addition property of eqaulity
5x+6x=22 Combining Like terms
5(x-2)=30 distibute property
Can you solve 2g - 13 = 3.
g=
Steps to solve:
2g - 13 = 3
~Add 13 to both sides
2g = 16
~Divide 2 to both sides
g = 8
Best of Luck!
The solution to the equation 2g - 13 = 3 is g = 8.
To solve the equation 2g - 13 = 3 for g, we'll perform the necessary steps to isolate the variable g on one side of the equation.
Starting with the given equation:
2g - 13 = 3
First, we'll add 13 to both sides to eliminate the -13 term on the left side:
2g - 13 + 13 = 3 + 13
2g = 16
Next, to isolate the variable g, we divide both sides by 2:
(2g)/2 = 16/2
g = 8
Therefore, the solution to the equation 2g - 13 = 3 is g = 8.
In this equation, we initially have a linear expression involving the variable g and a constant term. By performing algebraic operations, we rearrange the equation to have g on one side and the constant value on the other side. This isolates the variable and provides us with a specific value for g that satisfies the equation. In this case, the value of g is determined to be 8, which can be verified by substituting it back into the original equation to see if it holds true.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ6
5. A real estate agent earns 3.5% commission on the selling price of a home. Find the commission
earned on the sale of a $300,000 home.
$10,500
$5,500
$9,500
$3,500
2/3+1/3x=2x
x=1/2
x=5/2
x=2
x=2/5
Answer:
x = 2/5
Step-by-step explanation:
Solve for x:
x/3 + 2/3 = 2 x
Hint: | Combine x/3 + 2/3 into a single fraction.
x/3 + 2/3 = (x + 2)/3:
(x + 2)/3 = 2 x
Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.
Multiply both sides by 3:
(3 (x + 2))/3 = 3×2 x
Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.
(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:
x + 2 = 3×2 x
Hint: | Multiply 3 and 2 together.
3×2 = 6:
x + 2 = 6 x
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(x - 6 x) + 2 = 6 x - 6 x
Hint: | Combine like terms in x - 6 x.
x - 6 x = -5 x:
-5 x + 2 = 6 x - 6 x
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
2 - 5 x = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 2 from both sides:
(2 - 2) - 5 x = -2
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
-5 x = -2
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -5 x = -2 by -5:
(-5 x)/(-5) = (-2)/(-5)
Hint: | Any nonzero number divided by itself is one.
(-5)/(-5) = 1:
x = (-2)/(-5)
Hint: | Simplify the sign of (-2)/(-5).
Multiply numerator and denominator of (-2)/(-5) by -1:
Answer: x = 2/5
Answer: [tex]x=2/5[/tex]
Simplify both sides of the equation
[tex]1/3x+2/3=2x[/tex]
Subtract 2x from both sides
[tex]1/3x+2/3-2x=2x-2x\\-5/3x+2/3=0[/tex]
Subtract 2/3 from both sides
[tex]-5/3x=2/3-2/3=0-2/3\\-5/3x=-2/3[/tex]
Multiply both sides by 3/-5
[tex](3/-5)*(-5/3x)=(3/-5)*(-2/3)\\x=2/5[/tex]
What is 75% of 35 feet?
Answer:
26.25 feet
Step-by-step explanation:
A percentage is simply a ratio of the whole. If we assume 35 feet to be 100%, or the whole, then we can say the following:
0.75 * 35 == 26.25
Hence, 75% of 35 feet is 26.25 feet.
Cheers.
Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak rental. How can Joshua determine the number of hours he can rent a kayak for himself?
Answer: Divide Kayak budget by rental rate
Step-by-step Explanation:
As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.
He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.
Single KayakBudget available = $50
Rental rate = $15 per hour
Hours he can rent = 50/15
= 3.33 hours
Single Sea KayakBudget available = $50
Rental rate = $18 per hour
Hours he can rent = 50/18
= 2.78 hours
-2times(3+8divided4)2
Answer:
20
Step-by-step explanation:
Answer:-20
Step-by-step explanation: 8/4+3=5 then -2*5 =-10*2 =-20
7. a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
2 (x - 1) - 3 = 5
Enter your answer
8.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
9.c Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
10.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer."
Answer:
Hey there!
a.
2(x-1)-3=5
2x-2-3=5
b.
2x-5=5
c.
2x=10
d.
x=5
Let me know if this helps :)
Use the simple interest formula to determine the missing value. p =$1325, r =?t=2 years I=$37.10 r=?% (Do not round until the final answer. Then round to one decimal place as needed.)
Answer:
r = 1.4 %
Step-by-step explanation:
given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %