Answers
Answer:
4028.5
Step-by-step explanation:
V=4000+4.75 (6)
V= 4000+28.5
V=4028.5
Please Vote Brainliest!
Answer: Hope this helps <3
Step-by-step explanation:
[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]
Related Questions
Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?
A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25
Answers
Answer:
The expression equivalent to the given equation is -3x - 17
Step-by-step explanation:
4(x + 1) - 7(x + 3)
Distribute 4 to (x + 1) and distribute 7 to (x + 3).
4x + 4 - 7x - 21
Combine like terms.
-3x - 17
find the value of t perimeter
Answers
Answer:
t = 15.2 is the answerStep-by-step explanation:
1. Make an equationnumbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
2. Simplify like terms19.8 + 2t = 50.2
3. Solve19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
t = 15.24. Check:12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
50.2 = 50.2 Correct!Hope this helped,
Kavitha
Answer:
t = 15.2 miles
Step-by-step explanation:
First, let's add the top and bottom numbers together.
7.8 + 12 = 19.8 mi
Next, we subtract that from 50.2 to get the combined value of both t's.
50.2 - 19.8 = 30.4 mi
Finally, we can divide 30.4 by 2 to get the value of t.
30.4 ÷ 2 = 15.2 mi
To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4
30.4 + 12 + 7.8 = 50.2
geometry question please help
Answers
Answer:
see below
Step-by-step explanation:
Alright, geometric probability.
We need to find
the area of the rectanglethe area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.To find those, we need to find the areas of:
the outer rectanglethe circlethe equilateral trianglethe squareLet's start off with the easiest figure. The circle.
The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.
The circle has an area of around 314.159265.
Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.
Formula for side of square using diagonal:
a = q / √2
20/√2 = 14.142135623731
The area of a square is a^2
14.142135623731^2= 200
The area of the square is 200 m^2. (28)
Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.
314.159265 - 200= 114.159265
The area of the part of the circle that does not include the square is 114.159265.
Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.
The height of this triangle is 30m. Therefore, the area is 519.6152422706632.
The area of the equiangular triangle is 519.6152422706632.
The side length of the equiangular triangle is 34.64101615137755.
The area of the rectangle= l times w.
l = 34.64101615137755
w= 30
30 times 34.64101615137755= 1039.23048454133
The total area is 1039.23048454133.
Now that we have the denominator of our fraction (total area), lets go back to our questions.
We need to find
the area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.The area of the equilateral triangle = 519.6152422706632
519.6152422706632/1039.23048454133 = .5
The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5
The area of the square = 200
200/1039.23048454133 = 0.19245008973
The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973
The area of the part of the circle that doesn't include the square: 114.159265
114.159265/1039.23048454133= 0.10984980396
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396
The part of the rectangle that doesn't include the square, circle or triangle.
Area of triangle = 519.6152422706632
(The triangle contains the circle and square).
1039.23048454133- 519.6152422706632 = 519.61524227067
519.61524227067 /1039.23048454133 = 0.5
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5
Hope this helped! Let me know if I made an errors, or if my answers are incorrect.
What is y when x= -3?
Answers
Answer:
y = 4
Step-by-step explanation:
We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.
Answer:
4
Step-by-step explanation:
PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answers
Answer:
Step-by-step explanation:
hello,
As A and B are two independent events we can say that P(A∩B)=P(A)P(B)
P(A)=P(A∩B)/P(B)=16/13
thanks
Please! Someone help me! You will get a BRAINLIEST if you get this correct!
Answers
Answer:
Yes because 9x2+6x=0 when x=-2/3Answer:
option 4
Step-by-step explanation:
Simplify the equation,
9x² + 6x = 3x ( 3x + 2)
9x² + 3x = 3x*(3x + 1)
9x² + 9x + 2 =9x² + 3x + 6x + 2*1
= 3x(3x + 1) + 2(3x + 1)
= (3x+ 1)(3x +2 )
[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]
Both sides (3x+1)(3x+2) will get cancelled
[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]
Cross multiply,
5(3x) =10(3x+1)-(3x+2)
When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]
= -10
When x= -2/3, RHS = 10(3x+1)-(3x+2)
= [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]
= 10(-2+1) - (-2+2)
= 10 * (-1) -0
= -10
LHS = RHS
So, -2/3 is a solution
Question 1: Explain how the letter x (or any letter) is used when writing expressions, and give an example. How are expressions different than equations?
Question 2: Identify the parts (include: terms, coefficients, variables and constants) of the following expression and translate it into a verbal expression:
2(3x – 2y) + 7
Question 3: Identify the like terms, explain how you know they are like terms, and simplify the expressions:
10y + 3x + 10 +x -2y
3x – y + 4x + 6 – 2y
Question 4: Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2
Question 5: Explain how to write an equivalent expression for the expression
3(4x + 2y) + 5x.
Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent?
Answers
Answer:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Question 2:
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
Question 3:
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
The first expression simplifies to 8y + 4x + 10
The second expression simplifies to 7x - 3y + 6
Question 4:
The expression is evaluated as 122
Question 5:
The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y
To prove when x = 1 and y = 2 we have;
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29 which are equivalent in value
Step-by-step explanation:
Question 1:
The letter x or any letter used when writing an expression is representative of unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea
Example;
If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours = 24·x
An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints
An equation is a statement that two expressions are equal
Question 2:
The given expression is 2(3x - 2y) + 7
The parts are;
The coefficient of (3x - 2y) = 2
The constant term = 7
The variables are x and y
Which gives
The coefficient of the variable x = 6
The coefficient of the variable y = -4
The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7
or
The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7
or
The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;
Six times (variable) x minus four times (variable) y plus the constant 7
Question 3:
The expressions are;
10y + 3x + 10 + x - 2y..........................(1)
3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)
In the first expression, the like terms are;
10y and (-2y),
3x and x
In the second expression, the like terms are;
-y and -2y
3x and 4x
They are like terms because they can be simply added together to simplify the expressions as follows
10y + 3x + 10 + x - 2y gives 10y - 2y + 3x + x 10 to give 8y + 4x + 10
Also
3x - y + 4x + 6 - 2y gives 3x+ 4x - y - 2y + 6 to give 7x - 3y + 6
Question 4:
The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)
The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122
Question 5:
To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;
3×4x + 3×2y + 4x which is 12x + 6y + 4x
We combine like terms;
12x + 5x + 6y which is 17x + 6y
To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2
3(4×1 + 2×2) + 5×1 is 29
17×1 + 6×2 is 29
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
Answers
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
What is the measure of angle D?
Answers
Answer:
52
Step-by-step explanation:
Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:
360 - (128+126+54)
360 - 308
52
Answer:
52°
Step-by-step explanation:
The trapezoid is a closed figure, meaning all the angles must equal 360°.
1. Set up the equation
128° + 126° + 54° + ∠D = 360°
2. Solve for ∠D
360 - 128- 126- 54 = 52
∠D = 52°
You can also solve this by knowing that in a trapezoid:
∠A + ∠D = 180° and ∠B + ∠C = 180°
1. Set up the equation
128 + ∠D = 180°
2. Solve
180 - 128 = 52
∠D = 52°
helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)
Answers
Answer:
A
Step-by-step explanation:
If you put your function in a graphing calculator you will get (6,0)
What value of x is in the solution set of 2x-3> 11 - 5x?
-3
2
Answers
Answer:
x >2
Step-by-step explanation:
2x-3> 11 - 5x
Add 5x to each side
2x+5x-3> 11 - 5x+5x
7x -3 > 11
Add 3 to each side
7x-3+3 > 11+3
7x >14
Divide by 7
7x/7 > 14/7
x >2
Gym A charges a $25 membership fee and a $25 monthly fee. Gym B charges a $55 membership fee and a $10 monthly fee. After how many months will the total amount of money paid to both yoga clubs be the same? What will the amount be?
Answers
Answer: 75
solve:
For gym A
total cost= membership fee+monthly fee
membership fee=25
monthly fee=25
cost of x month=25x
total cost=25+25x
for gym B
membership fee=10
total cost=55+10x
now total cost are same
25+25x=55+10x
15x=30
x=30/15
x=2.
2 months
and amount =25+25*2=75
Answer:
2 months, they will have paid 75 dollars
Step-by-step explanation:
Gym A
25+ 25m where m is the number of months
Gym B
55 + 10m
Set them equal
25+25m = 55+10m
Subtract 10m from each side
25+25m-10m = 55+10m-10m
25+15m = 55
Subtract 25 from each side
25+15m-25 = 55-25
15m = 30
Divide by 15
15m/15 = 30/15
m=2
After 2 months
25+25(2) = 25+50 = 75
The cost is 75 dollars
The diagram shows a parallelogram.
4 cm
7 cm
100°
Work out the area of the parallelogram.
Give your answer to 2 significant figures.
Answers
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].
Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
In the right triangle LMN L and M are complementary angles and sin L is 19/20 what is cos M
Answers
Hey there! I'm happy to help!
There is a rule in trigonometry that says that the sine of one angle is equal to the cosine of that angle's complement.
Complementary angles are ones that equal 90 degrees when added.
We see that L and M are complementary angles, so we can apply this rule.
The sine of L is 19/20. We know that the sine of angle L is equal to the cosine of L's complement from our rule, which is M. This means that the cosine of M is equal to 19/20.
Have a wonderful day!
Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? A. 2 B. 3 C. 5 D. 6
Answers
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [- 1, 1 ] , thus
f(b) = f(1) = 5 ← from graph
f(a) = f(- 1) = - 5 ← from graph , thus
average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C
A
B
C
D
WHICH ONE??
PLEASE HELP ME !!!
Answers
Answer:
Is it B?
Step-by-step explanation:
ab^2 + 2a^2b + 4a + 2b
ab(b+2a) +2(2a+b)
ab(b+2a) +2(b+2a)
(ab+2)(b+2a)
that's why ab+2 is the answer.
what is a other name for the set of all x-values
Answers
Answer:
its domain
Step-by-step explanation:
Answer:
i believe it is A- range.
Step-by-step explanation:
i took the quiz
help me solve this please
Answers
Please mark brainliest! Thank you
Answer:
Center : (-2, 7)
Radius : 6
Step-by-step explanation:
If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.
If 3x-5=10x+9, what is 4(x+7)?
Answers
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
What is the simplified expression fro -3cd-d(2c-4)-4d
Answers
Answer:
-5cd
Step-by-step explanation:
-3cd-2cd+4d-4d
-3cd-2cd=-5cd
4d-4d=0
=-5cd
Answer:
-5 cdSolution,
[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]
Hope this helps...
Good luck on your assignment..
Can someone help me solve (a) and (c) pls.
Thanks
Answers
Answer:
Area of ABCD = 959.93 units²
Step-by-step explanation:
a). By applying Sine rule in the ΔABD,
[tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]
[tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]
Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]
m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]
m∠DBA = 45.64°
Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°
m∠ADB = 24.36°
c). Area of ABCD = Area of ΔABD + Area of ΔBCD
Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])
= 35×46Sin(12.18)
= 339.68 units²
Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°
= 46×27×(0.4994)
= 620.25 units²
Area of ABCD = 339.68 + 620.25
= 959.93 units²
What does x(x - 2) equal?
Answers
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
I have two U.S. coins that total 30 cents. One is not a nickel. What are the two coins?
Answers
To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out
In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :
Answer and Explanation:
The given problem is a kind of a riddle. It is given that the total of two US coins is
30
cents.
One is not a nickel, But the other one can be a nickel=
5
cents. So, the first one coin is a quarter=
25
cents. Which gives the total
30
cents.
Therefore, the two coins are a nickel and a quarter.
Hope you understood it!!!A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c
Answers
Answer:
The correct option is
[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A
Use the graph to evaluate the function below for specific inputs and outputs.
Answers
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3
A loan of $8,000 is paid back in two years in monthly payments of $400. The percentage interest on the loan was
(a) 5%
(b) 8 ⅓%
(c) 16 ⅓%
(d) 20%
Answers
Answer:
D
Step-by-step explanation:
The number of months in two years is 24 months.
Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600
Now, $8,000 was borrowed but $9,600 was returned
The amount of interest is 9600-8000 = 1600
So what percentage of 8,000 is 1600?
1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%
The surface area of a cube is 78 cm^2. What is the volume of the cube, rounded to
the nearest tenth of a cm^3?
Answers
Answer:
46.87
Step-by-step explanation:
V=*(A^3/2
)/36
V=*(46.87^3/2
)/36
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answers
Answer:
5.
Step-by-step explanation:
If the first 4 picked are of different colours then the fifth sock must be a match. for one of the four.
I will mark brainiest if correct Let f(x)=5x−7 and g(x)=x+3. Find f(g(x)) and g(f(x)).
Answers
Step-by-step explanation:
f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8
g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4
a) Complete the table of values for y = 3x – 1
X
-2
-1
0
1
2
3
y
I
-4
5
Answers
Answer:
x | y
− 2 − 6
− 1 − 3
0 0
1 3
2 6
hope this helps!
The table of values for the equation y = 3x - 1, is attached.
x y
-2 -7
-1 -4
0 -1
1 2
2 5
3 8
What are equations?Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.
How do we solve the given question?We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.
To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.
Value of y when x = -2 is, y = 3(-2) -1 = - 6 - 1 = -7.Value of y when x = -1 is, y = 3(-1) -1 = - 3 - 1 = -4.Value of y when x = 0 is, y = 3(0) -1 = 0 - 1 = -1.Value of y when x = 1 is, y = 3(1) -1 = 3 - 1 = 2.Value of y when x = 2 is, y = 3(2) -1 = 6 - 1 = 5.Value of y when x = 3 is, y = 3(3) -1 = 9 - 1 = 8.We put all these values of y, for the corresponding value of x in the table. The completed table is attached.
Learn more about equations at
https://brainly.com/question/4344214
#SPJ2