Answer:
[tex]a + 3b[/tex]Step-by-step explanation:
[tex] \frac{5a + 15b}{5 } [/tex]
[tex] \frac{5a}{5} + \frac{15b}{5} [/tex]
[tex]a + 3b[/tex]
Wang Yan drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed. What is the approximate average fuel consumption rate, between the 100^\text{th}100
th
100, start superscript, start text, t, h, end text, end superscript kilometer and the 400^\text{th}400
th
400, start superscript, start text, t, h, end text, end superscript kilometer?
Answer:
Step-by-step explanation:
5/6 liters
Answer:
5/6
Step-by-step explanation:
khan
What is the value of the expression when x=4?*
4x3 + 4x
Answer:
38
38 38 38 38 38 38 38 38okay so all you're going to do 4 * 3 + 4 * 4 what is going to give you 12 +16
WILL GIVE BRIANLESST
Answer:
I would say number 2
Step-by-step explanation:
hope this helped
Answer:
B.(-1,3)
you just have to count up 6 points above from where the first car is parked,once you count up 6 thats where the second car parked.
hope that helped you out:)
please mark me brainiest
Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=12
Answer:
16π
Step-by-step explanation:
Given that:
The sphere of the radius = [tex]x^2 + y^2 +z^2 = 4^2[/tex]
[tex]z^2 = 16 -x^2 -y^2[/tex]
[tex]z = \sqrt{16-x^2-y^2}[/tex]
The partial derivatives of [tex]Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}[/tex]
[tex]Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}[/tex]
Similarly;
[tex]Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}[/tex]
∴
[tex]dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA[/tex]
[tex]=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA[/tex]
[tex]=\sqrt{ \dfrac{16}{16-x^2-y^2} }\ \ .dA[/tex]
[tex]=\dfrac{4}{\sqrt{ 16-x^2-y^2} }\ \ .dA[/tex]
Now; the region R = x² + y² = 12
Let;
x = rcosθ = x; x varies from 0 to 2π
y = rsinθ = y; y varies from 0 to [tex]\sqrt{12}[/tex]
dA = rdrdθ
∴
The surface area [tex]S = \int \limits _R \int \ dS[/tex]
[tex]= \int \limits _R\int \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA[/tex]
[tex]= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \ \ rdrd \theta[/tex]
[tex]= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr[/tex]
[tex]= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}[/tex]
[tex]= 8\pi ( - \sqrt{4} + \sqrt{16})[/tex]
= 8π ( -2 + 4)
= 8π(2)
= 16π
PLEASE HELP :( WILL GIVE bRAINLIEST
Answer: im gonna say D srry if it wrong
Step-by-step explanation:
Answer:
answer is b because water evaporates
find the area of the unshaded reason for these two problems
9514 1404 393
Answer:
a) 96 m²
b) 26,000 ft²
Step-by-step explanation:
The area of the unshaded region is the difference between the overall area of the rectangle and the area of the shaded region. It can also be found directly using the dimensions of the unshaded region.
a) We have the height of the right triangle, but need to know its base. The Pythagorean theorem can help with that. Let the base of the triangle be represented by x. Then ...
x² +16² = 20²
x² = 400 -256 = 144
x = √144 = 12
The area of the unshaded triangle is given by the formula ...
A = (1/2)bh
A = (1/2)(12)(16) = 96 . . . . square meters
__
b) The shaded area at upper left is a square 100 ft on a side. Its area is ...
A = s² = (100 ft)² = 10,000 ft²
The shaded area at upper right is a triangle with base and height 120 ft and 150 ft. Its area is ...
A = (1/2)bh = (1/2)(120 ft)(150 ft) = 9,000 ft²
The area of the overall rectangle is ...
A = LW = (300 ft)(150 ft) = 45,000 ft²
So, the unshaded area is ...
unshaded area = overall area - left shaded area - right shaded area
unshaded area = 45,000 ft² -10,000 ft² -9,000 ft² = 26,000 ft²
what is 8% of 24?
im just putting this here bc it too short
A triangle has side lengths of 6, 8 and 10. Which side lengths could be possible in a similar triangle
A) 3,4, and 7
B) 13.2, 17.6, and 22
C)9,15, and 16
D) 1.2, 1.6, and 2.5
Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
A. 8 – r
B. 8r
C. r + 8
D. r – 8
Answer:
I would go with r - 8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
if you subtract r by 8 then you will get the remaining minutes left on ricardo's cellphone card. Lets say r=20 so, 20-8=12. therefore, Ricardo would be able to call his friend for 12 minutes. hope this helped
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did she pay in total.
Write your answer as an expression.
How much did Angela pay in total?
Answer:
(j/3)+5
thats the answer
In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows:
X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11
a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).
Answer:
a)15 b)2.34 c)by taking sum of number of toy divide to its numberings
Step-by-step explanation:
in roman a number of toys is equal to the sum of all toys and standard deviation is obtained from formulaExpand and simplify (x - 5)(x - 4)
Answer:
(x - 5) (x - 4)
x(x - 4) - 5(x -4)
x^2 - 4x - 5x - 20
x^2 - 9x - 20
Expand: x (x - 4) - 5 (x - 4)
Simplify: x^2 - 9x - 20
Which graph best represents the solution for this inequality?
Step-by-step explanation:
6|4w + 2| - 2 > 10
6|4w + 2| > 12
|4w + 2| > 2
4w + 2 > 2 or 4w + 2 < -2
4w > 0 or 4w < -4
w > 0 or w < -1.
The correct graph is the 2nd option.
Alex has a collection of cards: 4 are black, 2 are blue, 3 are white, and 1 is brown. What is the probability that he will pick a black card twice without replacement?
Please help me answer
Answer:
No
Step-by-step explanation:
Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats cereal, there are 4 grams of fiber in one cup. Let x represent the number of cups of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week. Which inequality represents the situation if the cereal Will ate this week contained at least 30 grams of fiber?
a)5x + 4y ≥ 30
b)4x + 5y ≥ 30
c)4x + 5y ≤ 30
Answer:
A.
Step-by-step explanation:
Answer:
a. 5x + 4y ≥ 30
Step-by-step explanation:
for edge 2020:)
4x + 2y = 4
Is y a function of x?
Help me with this pls.
Answer:
Area of figure is 51 cm²
Step-by-step explanation:
We need to find the area of the figure given.
The figure is basically a combination of 3 rectangles.
Adding area of all the rectangles will give the area of the figure.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Area of rectangle 1:
Length = 7 cm
Width = 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
The area of rectangle 1 is 21 cm²
Area of rectangle 2
Length will be: 7-4 = 3cm
Width will be: 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=3\times 3\\Area\:of\:rectangle=9 \:cm^2[/tex]
The area of rectangle 2 is 9 cm²
Area of rectangle 3
Length will be: 7cm
Width will be: 3 cm
The area will be:
[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]
The area of rectangle 3 is 21 cm²
The total area of the figure will be:
Area of figure = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of figure = 21+9+21
Area of figure = 51 cm²
So, Area of figure is 51 cm²
19. Which property of equality is illustrated below?
If 7+9= 11 +5 and 11 + 5 = 16, then 7+9 = 16
A. Transitive
B. Substitution
C. Reflexive
D. Symmetric
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
SOMEONE PLZ GELP WITH NUMBER ONE.
Answer:
900
Step-by-step explanation:
Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.
total measure of the starred angles = 4 * 360 - 180
total measure = 900 degrees
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
41.628 divid by 1,000
Answer:
41.628
Step-by-step explanation:
i dont know how but that is what the calculator said
Factor the trinomial
x^2+12x+6^2
Answer:
(x+6)(x+6) or (x+6)^2
Step-by-step explanation:
factors of 36 that add up to 12 = 6
so (x+6)(x+6)
(can I get brainliest please)
What is the constant of proportionality in this relationship ???? Help fast !!!
Answer:
3.28
Step-by-step
(3,18.85)
(2,12.57)
18.85-12.57/3-2=3.28
Ming took a cab across town. His fare was $22, and he leaves an 18% tip. What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
Multiply the original price by the decimal value of the percentage then add that number to the original price
22*.18=3.96
3.96+22=25.96
4. Kiran's uncle is 54 years old. He is 8 years older than three times Kiran's age. Find Kiran's age,
Kiran's age = x
Uncle's age = 54
Also,
Uncle's age = 8 + 3x
Now,
8 + 3x = 54
3x = 54 - 8
3x = 46
x = 46/3
x = 15.33
x = 15 (rounded)
pls help asap no trolls!!
Answer:
w= 1
x = 6
Step-by-step explanation:
Congruent Triangles
When two triangles are determined to be congruent, their side lengths and angles have the same measure.
We are given the condition that triangles FGH and ABC are congruent. This implies that sides FH and AC have the same measure, or, equivalently:
x + 12 = 18
Solving:
x = 18 - 12 = 6
x = 6
Similarly, sides HG and CB have the same length, thus:
w + 45 = 46
Solving:
w = 46 - 45 = 1
w= 1
inverse laplace of L^-1 {5s/s^2 + 3s - 4}
Answer:
[tex]e^t+e^{-4t}[/tex]
Step-by-step explanation:
We have to simplify the original function using partial fraction, hence:
[tex]\frac{5s}{s^2+3s-4} =\frac{5s}{(s-1)(s+4)}\\\\=\frac{A}{s-1}+\frac{B}{s+4}\\\\Therefore:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\Eliminating\ the \ denominator:\\\\A(s+4)+B(s-1)=5s\\\\substitute\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\tsubstitute\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Therefore\ substituting\ A\ and\ B\ gives:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\[/tex]
[tex]From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}[/tex]
what is the answer to -6x²-x+3+5x+7
Hello!
Let's simplify step-by-step.
−6x2−x+3+5x+7
=−6x2+−x+3+5x+7
Combine Like Terms:
=−6x2+−x+3+5x+7
=(−6x2)+(−x+5x)+(3+7)
=−6x2+4x+10
Answer:=−6x2+4x+10Thank you for asking this question!
It would be greatly appreciated if you thanked me and marked me as the brainliest!
Have an amazing day.