Answer:
b
Step-by-step explanation:
Explain the differences between expressions and equations, in a few sentences.
Answer:
An expression is a combination of numbers, variables, and symbols to be solved. An equation has expressions that are separated by an equals sign.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sample Response: An expression is written as a phrase and an equation is written as a statement. Equations are written as sentences with capitalization and punctuation. Expressions are written as phrases with no capitalization or punctuation. An equation has an equals sign and an expression does not.
Double the sum of j and 10
Answer:
a sum is a result of adding two or more numbers
Step-by-step explanation:
example : 9 is the sum of 2. 4 and 3 because ( 2 plus 4 us 3 = 9
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive constants. Write dow the volume of the solid generated when region R is revolved about the x-axis?
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = [tex]\frac{-b}{a}[/tex]x + ba/a
y = [tex]\frac{-b}{a}[/tex]x + b
so R is bounded by y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx
V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
Equation of the line AB
[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]
[tex]y = \frac{-b}{a} (x-a)[/tex]
What is the volume generated when a curve f(x) is generated about the x-axis?The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:
[tex]V=\int\limits^d_c {y^2} \, dx[/tex]
So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]
[tex]V=\frac{b^{5} }{3a^{2} }[/tex]
Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
To get more about volume generation visit:
https://brainly.com/question/20784784
Two trains leave stations 560 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 110
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer: the two trains will meet in 2.8 hours
Step-by-step explanation:
Step 1
Speed of train A = 90mph
Speed of train B = 110 mph
Since both trains are travelling towards each other , their effective speed will be= 90 mph + 110mph= 200mph
Step 2
we know that Speed = distance / time
therefore Time = Distance / speed
Distance = 560 miles
Speed = 200 mph
Time = 560miles / 200mph
2.8 hours
For the expression y + 6 - 3, determine the coefficient for the variable term.
Answer:
3
Step-by-step explanation:
Determine the coefficient of y+ 6 - 3 in the binomial expansion y+ 3(2-1)
3(2+-1) + y = + 3(2) - (3)^-1 = 3
= y + 6 - 3 = y+3
remember to add a minus sign before every second term then a plus.
Now we see that in the term where y is in factor 3 as asked in the question (this is the term 2(3), the coefficient is therefore 3.
Can someone help me it is due today and I’m having trouble
Answer:
A: 24°
B: 22°
C: 134°
Step-by-step explanation:
A triangle will always add up to 180°
A + B + C = 180°
(2x + 4) + (2x + 2) + (13x + 4) = 180
2x + 2x + 13x + 4 + 2 + 4 = 180
17x + 10 = 180
17x = 180 - 10
17x = 170
17x/17 = 170/17
x = 10
A: 2x + 4
B: 2x + 2
C: 13x + 4
A: 24°
2x + 4
2(10) + 4
20 + 4
24°
B: 22°
2x + 2
2(10) + 2
20 + 2
22°
C: 134°
13x + 4
13(10) + 4
130 + 4
134°
-3 2/7 + -6 1/6
Help with this please I dont know
Answer:
-9.45238095238
Step-by-step explanation:
Just use the fraction to add to the whole number
Answer:
=−14.73809524
Step-by-step explanation:
Sorry for the bad quality.
Answer:
B and C
Step-by-step explanation:
The width of a recruits 3 cm more than its length. It’s perimeter is 50 cm. Find it’s dimensions.
Answer: Length = 11 cm
Width = 14 cm
Step-by-step explanation:
Let x = Length of the rectangle.
then, width = x+ 3
Perimeter of rectangle = 2 (length +width)
Then, Perimeter = 2 (x+x+3)
= 2 (2x+3)
Since perimeter = 50 cm
[tex]\Rightarrow\ 2(2x+3)=50[/tex]
[tex]\Rightarrow\ 2x+3=25[/tex] [Divide both sides by 2]
[tex]\Rightarrow\ 2x=22\\\\\Rightarrow\ x=11[/tex]
The dimensions are :
Length = 11 cm
Width = 11+3= 14 cm
Tell whether the ratios form a proportion. 1/3, 7/21
Yes
or
No
(also i give out branislist lol)
Lee has 8 1/4 feet of blue fabric and 4 2/4 of green
ribbon. How much more blue fabric does Gina have than green
fabric?
Answer:
3 3/4
Step-by-step explanation:
8 1/4 - 4 2/4 = 4 1/4 - 2/4 = 3 3/4
what is 12/5 as a decimal & as a percent?
Which of the following is(are) the solution(s) to . |X+6| = 2x - 1?
A. X = -5/3
B. x = 7
c. x=7,-5/3
D. x=-7,5/3
Answer:
B
Step-by-step explanation:
|x+6|=2x+1 = 7
You don't have to mark as brainliest if you don't want to, I'm just happy I got help you!
What is a reasonable approximation for angle B if the ratio of the adjacent leg
divided by the hypotenuse is 0.45?
Answer:
60°
Step-by-step explanation:
Cos(60°) = ½
A 0.16-decalitre jug of water costs $80.00. What is the price per decilitre?
Answer:
$500
Step-by-step explanation:
0.16x=80
x=80/0.16
x=500
Hope I helped!
The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what value of x is the perimeter of the square the same as the perimeter of the rectangle?
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
Perimeter of a square:
The perimeter of a square of side x is given by:
[tex]P_s = 4x[/tex]
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P_r = 2(l + w)[/tex]
The length of the sides of a square measure 2x-5.
This means that the perimeter of the square is:
[tex]P_s = 4(2x - 5) = 8x - 20[/tex]
The length of a rectangle measures 2x, and the width measures x + 2.
This means that the perimeter of the rectangle is:
[tex]P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4[/tex]
For what value of x is the perimeter of the square the same as the perimeter of the rectangle?
This is x for which:
[tex]P_s = P_r[/tex]
So
[tex]8x - 20 = 6x + 4[/tex]
[tex]8x - 6x = 20 + 4[/tex]
[tex]2x = 24[/tex]
[tex]x = \frac{24}{2}[/tex]
[tex]x = 12[/tex]
6. The amusement park won't allow kids to ride
roller-coasters until they are a minimum of 48
inches tall. Michael is now 42 inches tall, and
grows about 1/2 inch every month. How many
months will it be until Michael can ride a roller-
coaster?
Answer:
In 1 year ( 12months ) ...............
Answer:
It is 1 YEAR OR 12 MONTHSSSSS
Step-by-step explanation:
Mrs Tham bought z bottles of oil at $7 each. She gave the cashier $50.
[a]Find the change Mrs Tham received in terms of z.
(b) If z = 3, how much change did Mrs Tham receive?
Answer:
She bought 3 bottles of oil, and that would be a total of 21$ of oil so she should have recieved 29.00$ back so no change
Step-by-step explanation:
5. Find the common difference or common ratio for the following sequence.
-1,8, 17, 26, ...
Answer:
common difference
d=8-(-1)=8+1=9
or d=17-8=9
or 26-17=9
and so on
what is the gcf for 13 and 17
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
Answer:
1
Step-by-step explanation:
The only number it can be is 1
The balance in your bank account is $720.50. You use your debit card for purchases of $45, $82, and $22.25. Then, you deposit $98.45 in the account. What is the new balance of your account?
Answer:
669 dollars and 70 cents
Step-by-step explanation:
just minus all the money spent and add the money added
Maria has 60 stamps. Four
more than three-fourths of her
stamps are from the United
States.
How many of her stamps are
not from the United States?
A. 49
B. 41
C. 19
D. 11
Answer:
49
Step-by-step explanation:
it is 49 because i worked it out and if you look closely it says 4 mour that
(03.05 HC)
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals? (1 point)
a
5 + 3p ≥ 30
b
5 + 3p ≤ 30
c
5p + 3 ≥ 30
d
5p + 3 ≤ 30
Given:
Score in first round = 5 points
Score in second, third and fourth rounds was identical.
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.
To find:
The inequality for the given problem.
Solution:
Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.
Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of 1s 3rd round + Score of 4th round
Score in first 4 rounds [tex]=5 + p + p + p[/tex]
[tex]=5 +3p[/tex]
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.
[tex]5+3p\geq 30[/tex]
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?
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Select the correct answer.
Auroras are lights that appear at Earth's northern and souther
cause of an aurora?
Answer:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Step-by-step explanation:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
what is the perimeter of the rectangle below
Answer:
66
Step-by-step explanation:
help me out here please
Answer:
12) y=25x
13) 14 gallons
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m= (75-50)/(3-2)
m=25/1=25
y-y1=m(x-x1)
y-75=25(x-3)
y-75=25x-75
y=25x
------------------------------------
350=25x
x=350/25
x=14
Solve and check the solution 4y+1=17
Answer:
Step-by-step explanation:
4y+1=17
Subtract the 1 from the 17, giving you...
4y =16
Divide 16 by 4y, giving you...
Y= 4
I hope this helps you out!
Please help I’ll mark you as brainliest if correct!
a+a+d+a = 11. what are there values