Answer:
8 divided by 6/7. I will give you the answer in fraction form and in decimal form. 56/6 can be simplified to 28/3. 28/3 is an improper fraction and should be written as 9 1/3.
Step-by-step explanation:
You add 3+5 together and then divide. After that you simplify your answer
Hope this helped, Have a Great Day!!
Interest paid on £2500 at an interest at an interest rate of 15%
Answer:
£375Step-by-step explanation:
Amount = £2500Interest rate = 15%Interest
£2500*15/100 = £375Set up an equation and solve for x
Answer:
x=22
Step-by-step explanation:
3x+3+27+x+3+2x+18=180
6x+48=180
6x=132
x=22
Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?
Edge 2020
Answer:C
1/1+cos(x)
Step-by-step explanation:
Simplifird form of the given trigonometric expression will be,
[sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)
Simplification of a trigonometric expression:
Given expression in the question,
[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]
= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]
= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]
Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])
= [tex]\frac{1}{1+\text{cos}x}[/tex]
Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.
Learn more to simplify the trigonometric expressions here,
https://brainly.com/question/17043514?referrer=searchResults
AB = BC
5(2x + 2).
3(3x - 1)
Find x:
2
4
-10
16
None of the other answers are correct
Answer:
Step-by-step explanation:
holdup im gonna help
Answer:
x = 2
Step-by-step explanation:
2[3(3x - 1)] = 5(2x + 2)
18x - 6 = 10x + 10
8x = 16
x = 2
Eighteen less than 9 times a number is the same as 14 more than the number.
Comply the equation
Answer:
x=4
Step-by-step explanation:
9x-18 = x+14
9×-× = 14+18
8× = 32
X = 4
PLEASE HELP
Evaluate 6 + 10v – 8w when v=4 & w= -2
Answer:
6 + 10v – 8w = 62
Step-by-step explanation:
Given the expression
6 + 10v – 8w
as
v=4w=-2substituting the values in the expression
6 + 10v – 8w = 6 + 10(4) - 8(-2)
= 6 + 40 + 16
= 62
Can you please give me more answers?
Answer:
more answers on wht
Step-by-step explanation:
Answer:
wdym more answers ? there isn't a question
Step-by-step explanation:
What is the slope of function 3x-5y=17
Answer:
y=5/3x-3.4
Step-by-step explanation:
slope is 5/3
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , "m" is the slope
3x - 5y = 17
- 5y = - 3x + 17
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{17}{5}[/tex]
m = [tex]\frac{3}{5}[/tex]
david noticed that 49=7, what are other numbers between 1 and 100 have exactly three factors
three less than the total of a number and
nine
Answer:
(x+9)-3
Step-by-step explanation:
as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].
Answer:
[tex] y = 3x - 2 [/tex]
Step-by-step explanation:
The equation that describes how x
and y are related is given in the slope-intercept form, [tex] y = mx + b [/tex]
Where, m = slope, and b = y-intercept.
Let's find the value of m and b using the table of values given.
Using two of the pairs given, (-2, -8) and (-1, -5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 [/tex]
Substitute x = -2, y = -8, and m = 3 in [tex] y = mx + b [/tex] to find the value of b.
Thus:
[tex] -8 = (3)(-2) + b [/tex]
[tex] -8 = -6 + b [/tex]
Add 6 to both sides
[tex] -8 + 6 = b [/tex]
[tex] -2 = b [/tex]
Substitute m = 3 and b = -2 in [tex] y = mx + b [/tex].
The equation that describes how x
and y are related would be:
[tex] y = 3x - 2 [/tex]
help with number 1 & number 2 please !
Step-by-step explanation:
2vt= (ht²/2) - 2c - r
v= ((ht²/2) -2c -r) / 2t
v= ht/4 - c/t - r/2t
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, –0.04, –0.14
Answer:
-.1
Step-by-step explanation:
I’ll give the brainlest answer! Is this relation a function? Please help
Answer:
show me the choices
Step-by-step explanation:
so i qnswer ir
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answer:
[tex]r = 1.34[/tex]
Step-by-step explanation:
Given
Solid = Cylinder + 2 hemisphere
[tex]Volume = 10cm^3[/tex]
Required
Determine the radius (r) that minimizes the surface area
First, we need to determine the volume of the shape.
Volume of Cylinder (V1) is:
[tex]V_1 = \pi r^2h[/tex]
Volume of 2 hemispheres (V2) is:
[tex]V_2 = \frac{2}{3}\pi r^3 +\frac{2}{3}\pi r^3[/tex]
[tex]V_2 = \frac{4}{3}\pi r^3[/tex]
Volume of the solid is:
[tex]V = V_1 + V_2[/tex]
[tex]V = \pi r^2h + \frac{4}{3}\pi r^3[/tex]
Substitute 10 for V
[tex]10 = \pi r^2h + \frac{4}{3}\pi r^3[/tex]
Next, we make h the subject
[tex]\pi r^2h = 10 - \frac{4}{3}\pi r^3[/tex]
Solve for h
[tex]h = \frac{10}{\pi r^2} - \frac{\frac{4}{3}\pi r^3 }{\pi r^2}[/tex]
[tex]h = \frac{10}{\pi r^2} - \frac{4\pi r^3 }{3\pi r^2}[/tex]
[tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]
Next, we determine the surface area
Surface area (A1) of the cylinder:
Note that the cylinder is covered by the 2 hemisphere.
So, we only calculate the surface area of the curved surface.
i.e.
[tex]A_1 = 2\pi rh[/tex]
Surface Area (A2) of 2 hemispheres is:
[tex]A_2 = 2\pi r^2+2\pi r^2[/tex]
[tex]A_2 = 4\pi r^2[/tex]
Surface Area (A) of solid is
[tex]A = A_1 + A_2[/tex]
[tex]A = 2\pi rh + 4\pi r^2[/tex]
Substitute [tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]
[tex]A = 2\pi r(\frac{10}{\pi r^2} - \frac{4r }{3}) + 4\pi r^2[/tex]
Open bracket
[tex]A = \frac{2\pi r*10}{\pi r^2} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]
[tex]A = \frac{2*10}{r} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]
[tex]A = \frac{20}{r} - \frac{8\pi r^2 }{3} + 4\pi r^2[/tex]
[tex]A = \frac{20}{r} + \frac{-8\pi r^2 }{3} + 4\pi r^2[/tex]
Take LCM
[tex]A = \frac{20}{r} + \frac{-8\pi r^2 + 12\pi r^2}{3}[/tex]
[tex]A = \frac{20}{r} + \frac{4\pi r^2}{3}[/tex]
Differentiate w.r.t r
[tex]A' = -\frac{20}{r^2} + \frac{8\pi r}{3}[/tex]
Equate A' to 0
[tex]-\frac{20}{r^2} + \frac{8\pi r}{3} = 0[/tex]
Solve for r
[tex]\frac{8\pi r}{3} = \frac{20}{r^2}[/tex]
Cross Multiply
[tex]8\pi r * r^2 = 20 * 3[/tex]
[tex]8\pi r^3 = 60[/tex]
Divide both sides by [tex]8\pi[/tex]
[tex]r^3 = \frac{60}{8\pi}[/tex]
[tex]r^3 = \frac{15}{2\pi}[/tex]
Take [tex]\pi = 22/7[/tex]
[tex]r^3 = \frac{15}{2 * 22/7}[/tex]
[tex]r^3 = \frac{15}{44/7}[/tex]
[tex]r^3 = \frac{15*7}{44}[/tex]
[tex]r^3 = \frac{105}{44}[/tex]
Take cube roots of both sides
[tex]r = \sqrt[3]{\frac{105}{44}}[/tex]
[tex]r = \sqrt[3]{2.38636363636}[/tex]
[tex]r = 1.33632535155[/tex]
[tex]r = 1.34[/tex] (approximated)
Hence, the radius is 1.34cm
The radius of the cylinder that produces the minimum surface area is 1.34cm and this can be determined by using the formula area and volume of cylinder and hemisphere.
Given :
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters.The volume of a cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The total volume of the two hemispheres is given by:
[tex]\rm V' = 2\times \dfrac{2}{3}\pi r^3[/tex]
[tex]\rm V' = \dfrac{4}{3}\pi r^3[/tex]
Now, the total volume of the solid is given by:
[tex]\rm V_T = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]
Now, substitute the value of the total volume in the above expression and then solve for h.
[tex]\rm 10 = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]
[tex]\rm h = \dfrac{10}{\pi r^2}-\dfrac{4r}{3}[/tex]
Now, the surface area of the curved surface is given by:
[tex]\rm A = 2\pi r h[/tex]
Now, the surface area of the two hemispheres is given by:
[tex]\rm A'=2\times (2\pi r^2)[/tex]
[tex]\rm A'=4\pi r^2[/tex]
Now, the total area is given by:
[tex]\rm A_T = 2\pi rh+4\pi r^2[/tex]
Now, substitute the value of 'h' in the above expression.
[tex]\rm A_T = 2\pi r\left(\dfrac{10}{\pi r^2}-\dfrac{4r}{3}\right)+4\pi r^2[/tex]
Simplify the above expression.
[tex]\rm A_T = \dfrac{20}{r} + \dfrac{4\pi r^2}{3}[/tex]
Now, differentiate the total area with respect to 'r'.
[tex]\rm \dfrac{dA_T}{dr} = -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]
Now, equate the above expression to zero.
[tex]\rm 0= -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]
Simplify the above expression in order to determine the value of 'r'.
[tex]8\pi r^3=60[/tex]
r = 1.34 cm
For more information, refer to the link given below:
https://brainly.com/question/11952845
The purchase price of a camcorder is $818 what is the total price if the sales tax rate is 8.5%
Celeste wants to have her hair cut and
permed and also go to lunch. She knows
she will need $95. The perm costs twice
as much as her haircut and she needs $5
for lunch.
How much does the perm cost?
Answer:
the perm will cost $60
Step-by-step explanation:
take away $5 from the total because Its a set amount that's already known
which leaves 90 which if you take 30 away you are left with 60 its twice the amount of the haircut, I didn't really do any math techniques so I'm sorry that my explanation is weird, I hope this helped
What is the rate of change for the line that goes through the points (8,14) and (11, 19.25)
Answer:
1.75Step-by-step explanation:
The rate of change for the line that goes through the points (8,14) and (11, 19.25) is known as the slope expressed as;
slope m = y2-y1/x2-x1
Substitute the coordinate pairs into the formula;
m = 19.25-14/11-8
m = 5.25/3
m = 1.75
Hence the rate of change for the line is 1.75.
Is the sum of any 2 consecutive prime numbers also prime?
Answer:
Yes! (it’s making me write 20 letters so yes is ur answer ok cool)
PLEASE HELP
A car dealer offers a 15% discount off the list price x for any car on the lot. At the same time, the manufacturer offers a $1500 rebate for each purchase of a car.
a. Write a function f(x) to represent the price after the discount is applied.
b. Write a function g(x) to represent the price after the rebate is applied.
Suppose the list price of a car is $19,000. Use a composite function to find the price
of the car:
C. if the discount is applied before the rebate;
D. if the rebate is applied before the discount
Answer:
A) f(x) = 0.85x
B) g(x) = x - 1500
C) g(f(x)) = $14650
D) f(g(x)) = $14875
Step-by-step explanation:
A) The list price is x and a 15% discount is applied.
Thus;
f(x) = x - 15%x
f(x) = 0.85x
B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.
Thus, the function g(x) to represent the price after the rebate is applied is;
g(x) = x - 1500
C)if the discount is applied before the rebate, the function is;
g(f(x))
Now,
f(x) = 0.85(19000)
f(x) = 16150
g(x) = x - 1500
Thus;
g(x) = 16150 - 1500
g(x) = $14650
D) If discount after rebate, then we have; f(g(x))
g(x) = 19000 - 1500
g(x) = 17500
f(g(x)) = 0.85(17500)
f(g(x)) = $14875
5
y=2x+5y, equals, 2, x, plus, 5
Complete the missing value in the solution to the equation.
(
2
,
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = f(x) = 2x + 5[/tex]
[tex]f(2) = 2(2) + 5[/tex]
[tex]f(2) = 4 + 5[/tex]
[tex]f(2) = 9[/tex]
Thus ;
[tex]( \: 2 \: , \: 9 \: )[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
9
Step-by-step explanation:
What is the diference between the
largest and the smallest 4 digit numbers
largest 4 digit number : 9999
smallest 4 digit numbers : 1000
Difference = 9999 - 1000 = 8999
Options:
- does not
- does
Answer: does not
Step-by-step explanation: I think a linear equation is y=mx+b
Anthony receives $12 in allowance every week.He currently has $492 saved.How many weeks has he been saving?
Answer:
He has been saving for 41 weeks.
Step-by-step explanation:
492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer
which one is greater 140% or 0.14
A proportional relationship is shown in the table below:
x:
0
1.3
2.6
3.9
5.2
y:
0
1
2
3
4.
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
(13−0)
= 10/13
(10−0)
13,10
Slope of the given line is [tex]\frac{10}{13}[/tex] and the equation of the line is [tex]10x - 13y = 0[/tex].
What is the slope of a line passing through two points?The slope of a line(m) that passes through points (x, y) and (x, y) is
[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}}[/tex]
The given line passes through points (0, 1.3) and (0, 1).
Therefore, slope of the line is
[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{1.3 - 0} = \frac{10}{13}[/tex]
Now, the line passes through the point (2.6, 2).
Putting this equation in slope-intercept form, we get:
[tex]2 = \frac{10}{13}(2.6) + c\\c = 2 - 2\\c = 0[/tex]
The equation of the line will be:
[tex]y = \frac{10}{13}x\\10x - 13y = 0[/tex]
Learn more about slope of a line here: https://brainly.com/question/21504186
#SPJ3
Which number lines have points that represent additive inverses? Check all that apply.
===================================================
Explanation:
Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0
Choice D is a similar story. We have -5+5 = 0
In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.
Answer:
B and D
Step-by-step explanation:
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes. What is the snails rate in Minutes per Meters
Answer:
Step-by-step explanation
Given
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
Solution
So
the snails rate =11/8÷11/2
= 1/4Minutes per Meters
So the answer is 1/4 minute per meter
It is the quantity of an amount of something at a rate of one of another quantity.
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 60 minutes.
1 mile in 20 minutes.
We have,
Snail travels:
[tex]1\frac{1}{8}[/tex] meters = [tex]1\frac{1}{2}[/tex] minutes
9/8 meters = 3/2 minutes
Multiplying 8/9 on both sides.
1 meters = 8/9 x 3/2 minutes
1 meter = 4/3 minutes
This means that the snail's rate in minutes per meter is 4/3 minutes.
Thus,
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
What is the slope of line m?
Answer:
Slope= -0.5
Step-by-step explanation:
Answer:
1/2x
Step-by-step explanation:
You go down one step and run 2 steps
Calculate Valume of cones and spheres
Answer:
v = 1808,64cm³
Step-by-step explanation:
big cone:
a = pi.r²
a = 3,14x12²
a = 452,16cm²
v = a.h/3
v = 452,16x12/3
v = 1808,64cm³ (that's a three)
you got the point, now you can do the others... kinda of