Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
1. How do you find the slope in a graph?
For a two-day rental at the surf shop, it cost $55 to rent a surf board and $70 to rent a paddle board. On a certain weekend, the surf shop rented 51 total surf boards and paddle boards and made $3300. How many paddle boards were rented?
Answer:
7 paddleboards
Step-by-step explanation:
In order to solve this, you have to find the total amount that they earned by renting surfboards.
To find this you multiply 55 x 51 =2,805.
Then you use this factor and subtract it from the total amount they earned.
$3,300 - $2,805 = $495.
This shows us that they earned a total of $495 from renting out paddle boards. To find out how many paddle boards were rented out you have to divide $495 by $70 which is how much they charge to rent paddle boards.
495/70 = 7
In conclusion, they rented out 7 paddle boards.
What is the area? Write your answer as a fraction or as a whole or mixed number. 1 m square meters
Answer:
The Area is all the space inside a given shape/object added together. The (assumed) Area of the problem you've given is 1 square m, since there is only 1 square m.
Step-by-step explanation:
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
3. What are the factors in this expression 9+ (x-7)(Y+6)
how many times greater is 6x10⁹ than 3x10²
i need help due tonight
Answer:
s=6
Step-by-step explanation:
3(s+4)=30
multiply 3×s and 3×4
3s+12=30
-12=-12
3s=18
divide 18 and 3s
s=6
Answer:
s=6
Step-by-step explanation:
write the algebraic expression: The difference of 5 times a number and 11 is 17
Answer:
5x - 11 = 17
Step-by-step explanation:
Answer:
5x - 11 = 17
Step-by-step explanation:
Five times a number is 5x when the number is unknown.
The difference between that number and 11 is (difference means subtract)
5x - 11
All of which = 17
5x - 11 = 17
You are not asked to solve it. Just write it.
335.71 divided by 1000
Find the equations of the lines that pass through the point (4, 5) and are parallel to and perpendicular to the line with equation y + 7x = 5
Parallel: y =
Need help? Click the link to see a video example,
Perpendicular: y =
Answer:
Parallel: y = -7x+33
Perpendicular: y = (⅐)x + 31/7
Step-by-step explanation:
y+7x = 5
Slope of the line is -7.
Slope of any parallel to the line is also -7.
Slope of any perpendicular to the line is ⅐.
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) = -2.
Step-by-step explanation:
First of all, let's find f(2).
[tex]f(n+1)=f(n)^{2}-3[/tex]
[tex]f(1+1)=f(1)^{2}-3[/tex]
[tex]f(2)=f(1)^{2}-3=2^{2}-3=1[/tex]
Now, we can find f(3):
[tex]f(2+1)=f(2)^{2}-3[/tex]
[tex]f(3)=f(2)^{2}-3=1^{2}-3=-2[/tex]
Therefore, the value of f(3) = -2.
I hope it helps you!
An urn contains b black balls and r red balls. One of the balls is drawn at random, but when it is put back in the urn c additional balls of the same color are put in with it. Now suppose that we draw another ball.
Required:
Show that the probability that the first ball drawn was black given that the second ball drawn was red is b/(b r c).
Answer:
Please see the explanation below for proof
Step-by-step explanation:
Probability of choosing black ball from the bag
[tex]\frac{b}{b+r}[/tex]
Probability of choosing red ball from the bag
[tex]\frac{r}{b+r}[/tex]
After the addition of c balls of correspondent color –
P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]
P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]
B1 and B2 are mutually exclusive event
P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]
P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]
Hence, Proved
Round 7.954 to the place named.
Hundredths
Answer:
The answer is 7.95
Step-by-step explanation:
I hope I helped.
John paints blue spots on his car. He usually paints these blue spots in pairs. If the total count of blue spots is 72, how many pairs of blue spots are there?
Answer: 10 quarts of blue paint for every 2 quarts of green paint
Step-by-step explanation: The graph represents the relationship between the number of quarts of blue paint in the mix, xx and the number of quarts of yellow paint, yy.
The point (2 , 10) on the graph indicates 2 quarts of blue paint for every 10 quarts of yellow paint .
A triangle can be formed with the lengths 10 cm, 5 cm and 14 cm.
Answer: yes.
Step-by-step explanation: i dont really get this one so i just said yes
i can’t figure out how to do this
Answer:
i need to know the answer choices
Step-by-step explanation:
Answer:
-25 is correct I think
Step-by-step explanation:
AHHH HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
6 feet deep
height/length*width
11.94/2.6*1.4
Determine 28.2% of 92.
Answer:
25.944
Step-by-step explanatio28.2 percent * 92 =
(28.2:100)* 92 =
(28.2* 92):100 =
2594.4:100 = 25.944
ASAP PLS HELP WILL MARK BRAINLIEST!!
Answer:
The lines intersect at (-2,2).
Step-by-step explanation:
The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.
helppppppppppp me please yes please yes lol yes plea
Answer:
C. 16
Step-by-step explanation:
A number squared means you need to multiply it by itself
So, 4 x 4 = 16
Answer:
c. 16
Step-by-step explanation:
multiply 4 two times because it's squared
4 x 4 = 16
If n + 7 = 10, evaluate 2n - 2
What figure is always a rectangle and a rhombus?
trapezoid
parallelogram
quadrilateral
square
Answer:
square
Step-by-step explanation:
The base of a prism has a perimeter of 12 centimeters and a height of 2 centimeters. The area of its base is 5 square centimeters. What is the surface area of the prism?
Answer:so multiply 12*2=24 and 24*5=120 Is your answer .
Step-by-step explanation:
Factor
x2 + 10x + 25
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
25
/ \
+5 and +5
(x+5)(x+5)
if you dont understand. I recommend this video https://youtu.be/yBCAv_NzzPQ
at 10:21
a rectangle has perimeter 86 cm and length 37 cm. what is its width
Answer:
6 cm
Step-by-step explanation:
37 × 2 = 74 cm86 - 74 = 12 cm12 ÷ 2 = 6 cmSo, the width is 6 cmI hope this helps!
Answer:
The rectangle's width is 6.
Step-by-step explanation:
You are given the perimeter is 86 cm. The perimeter is the sum of all the sums. For a rectangle, use the formula, P = 2l + 2w. So, we plug the given into our equation: P = 86, l = 37. This results in:
86 = 2(37) + 2w
86 = 74 + 2w
Subtract 74 on each side.
2w = 12
Then, divide each side by 2.
w = 6
Hopefully this helped. And good luck in your studies.
What is the value of d in the equation?
d'= 14
A + (b + c) = (A + b) + c
What property is this equation
Answer:
Step-by-step explanation:
Associative property
Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST
Answer:
....................
A deposit that is compounded semiannually at 8% for 4 years has a table value of 0.73503 true or false
Answer:
FALSE
Step-by-step explanation:
This answer is false. The interest rate per period is 4% (8% / 2), and the total number of compounding periods is 8 (4 years x 2 periods per year).
Therefore, find the intersection of 4% and 8, which is 0.73069.
-HELP QUICK!!- What is the distance from P to Q?
A P E X
Answer:
might be 7
Step-by-step explanation:
count the rise and run from Q to P. count up 3 and right 4.