Answer:
20
Step-by-step explanation:
[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]
[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]
[tex] = \dfrac{20}{1} [/tex]
[tex] = 20[/tex]
x
+
5
y
=
20
x
+
3
y
=
14
Answer:
A) x + 5y = 20
B) x + 3y = 14
Multiplying A) by -1
A) -x -5y = -20 then adding B)
B) x + 3y = 14
-2y = -6
y = 3
x = 5
Step-by-step explanation:
Express it in slope-intercept form.
Answer:
y = 3/2 x -3
Step-by-step explanation:
the line passes (0, -3) and (2, 0)
the slope = (0+3)/(2-0) = 3/2
the equation :
y-0= 3/2(x -2)
y = 3/2 x - 3
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1,
,
1,
3
O-3
mp
Answer:
1/3
Step-by-step explanation:
If it was supposed to be a negative answer, there would be negative numbers in the sequence. So that narrows it do to 3 and 1/3. And now we know that 27*3 isn't 9 but 27*1/3=9 and so on.
Answer:
your answer will have to be 3
Step-by-step explanation:
from 27 to 9, we divided by 3
from 9 to 3, we divided by 3
from 1 to 1/3, we divided by 3
from 1/3 to 1/9, we divided by 3
from 1/9 to 1/27, we divided by 3
so basically the common ratio will have to be 3
Help
Will give
Brainlist
Thank uuu
Answer:
first option is correct
Step-by-step explanation:
finding area for upper rectangle
length = 16 miles
breadth = (2x - 1) miles
area of rectangle = l*b
=16 *(2x - 1)
16*2x - 16*1
=32x - 16
finding area for another rectangle
length = (5x + 5) miles
breadth = 4 miles
area of rectangle = l*b
= (5x + 5) * 4
=5x*4 + 5*4
=20x + 20
area of the figure = area of upper rectangle + area of another rectangle
=32x - 16 + 20x + 20
= (52x + 4) sq mi
Find the width of the rectangular prism which has Surface area of 10 CM2, length of 2cm and height of 1 cm
Answer:
width is 1 cm
Step-by-step explanation:
The SA of a rectangular prism is SA = 2(lw + wh + hl)
We are given the length, the height, and the SA, and we need to find the width. So we plug in the known values into this equation:
10 = 2(2w + w + 1*2)
10 = 2(3w+2)
10 = 6w+4
6=6w
w=1
We can check the answer by plugging in all the values into the equation:
10 = 2(2*1+1*1+1*2)
10 = 2(5)
10 = 10
[tex]5y( y + 3) - 2(y - 2) = 20[/tex]
Answer:
[tex]y = \frac{ - 13 - \sqrt{489} }{10} [/tex]
Answer:
Step-by-step explanation:
5y^2+15y-2y+4=20
5y^2-13y+4=20
5y^2-13y+4-20=0
5y^2-13y-16=0
This equation is in standard form: ax^2+bx+c=0. Substitute 5 for a, 13 for b, and −16 for c in the quadratic formula.
What is the slope of the line with equation y−3=(x−2)?
A coordinate plane with a line passing through the points at (2, 3) and (4, 2).
–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2
Answer:
B on edge 2021
Step-by-step explanation:
Can someone help me please
Answer:
yes what would u like help with
pls answer the underline questions
Answer:
What is the question?
Step-by-step explanation:
I will edit this and answer when you comment the question in this answer.
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
go a head what can i help you with
Answer:
Step-by-step explanation:
[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]
Standard equation of a line with slope, m and y - intercept b is y = mx + b.
Clearly. for the second equation has a different coefficient for x.
a ) The coefficient for x , is the slope of the line.
Though the y - intercept for each equation is same = - 4.
For example :
Expression A = 2 , when x = 1
Expression B = 8 , when x = 1
Expression C = 2 , when x = 1
b) From above :
[tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]
c) Expression A and C are equivalent because the coefficient of x
is the same for A and C.
Please solve 3^(x+3) + 3^(x+4)/3 = 162
HELP ME!
Line segment EQ consists of the points ____________. ???
Answer:
{F, G, H, I, J, K, L, M, N, O, P}
are the points between segment EQ :)
Question 54 of 98
Which expression uses the associative property to make it easier to evaluate
20(3-6)
O A. 20(6)
B. 20(-5)
c. - 6)20
D. (20 - )6
SUBMIT
submitdjememendixodme ejej
Please help. Thank you
Given:
[tex]PQRS\sim TUVW[/tex]
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
[tex]PQRS\sim TUVW[/tex]
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
[tex]k=\dfrac{VW}{RS}[/tex]
[tex]k=\dfrac{25}{35}[/tex]
[tex]k=\dfrac{5}{7}[/tex]
Therefore, the scale factor from PQRS to TUVW is [tex]k=\dfrac{5}{7}[/tex].
find the equation of Best fit for the data in the table
Answer:
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Step-by-step explanation:
The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:
[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)
Now we proceed to check if the table represents a line instead of another kind of function:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]
[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]
[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]
[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]
Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - y-Intercept.
If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:
[tex]m + b = 5[/tex] (1)
[tex]6\cdot m + b = 15[/tex] (2)
The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
express the ratio below in its simplest form 4 : 2 : 2
simplest form 4 : 2 : 2 is 2:1:1
Please help me out for the question is it
A.275 centimeters
B.94 centimeters
C.144 centimeters
D.85 centimeters
You’ll be marked as brainliest
I think c because from what remember taking this test
What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
Pls help me and thank you!
Answer:
Substitute your answer for Step 1 into the second equation to solve for Z.
In how many ways can a committee of
3 boys and 2 girls be chosen from 6
boys and 4 girls?
(WAEC)
Answer:
This might be permutation promblem srry if im wrong.
P(6,3)=6x5x4=120
P(4,2)=4x3=12
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is
Answer:
See explanation
Step-by-step explanation:
The question has conflicting details
[tex]f(x) = 2x + 5[/tex]
[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.
So, I will take f(x) as
[tex]f(x) = 2x + 5[/tex]
Next, solve for the inverse function
Replace f(x) with y
[tex]y = 2x + 5[/tex]
Swap x and y
[tex]x = 2y + 5[/tex]
Make 2y the subject
[tex]2y = x-5[/tex]
Make y the subject
[tex]y = \frac{x-5}{2}[/tex]
Replace y with the inverse sign
[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]
So, now we can calculate any value from the original function and from the inverse function.
For instance:
[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]
[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]
Help ASAP
Jack lives 210 miles from Cleveland, where he wants to visit. He has already traveled 125 miles on the bus and then took the train the rest of the way. How many miles were traveled on the train?
Answer:
85 miles
Step-by-step explanation:
He needed to travel a total of 210 miles
He had already traveled 125 miles on bus
And he traveled the rest of the length on the train
If we want to find the distance he traveled on train we simply subtract total distance by distance traveled on bus
So distance traveled on train = 210 - 125 = 85
So he traveled a total of 85 miles on train
Find the missing segment
Answer:
The unknown side is 140
Step-by-step explanation:
Let the unknown side be x
Using ratios
90 90+36
------ = -----------
x x+56
90 126
------ = -----------
x x+56
Using cross products
90(x+56) = 126x
Distribute
90x+5040 = 126x
Subtract 90x
5040 = 36x
Divide by 36
140 =x
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
Can someone explain this to me please
Answer:
c. 36·x
Step-by-step explanation:
Part A
The details of the circle are;
The area of the circle, A = 12·π cm²
The diameter of the circle, d = [tex]\overline {AB}[/tex]
Given that [tex]\overline {AB}[/tex] is the diameter of the circle, we have;
The length of the arc AB = Half the the length of the circumference of the circle
Therefore, we have;
A = 12·π = π·d²/4 = π·[tex]\overline {AB}[/tex]²/4
Therefore;
12 = [tex]\overline {AB}[/tex]²/4
4 × 12 = [tex]\overline {AB}[/tex]²
[tex]\overline {AB}[/tex]² = 48
[tex]\overline {AB}[/tex] = √48 = 4·√3
[tex]\overline {AB}[/tex] = 4·√3
The circumference of the circle, C = π·d = π·[tex]\overline {AB}[/tex]
Arc AB = Half the the length of the circumference of the circle = C/2
Arc AB = C/2 = π·[tex]\overline {AB}[/tex]/2
[tex]\overline {AB}[/tex] = 4·√3
∴ C/2 = π·4·√3/2 = 2·√3·π
The length of arc AB = 2·√3·π cm
Part B
The given parameters are;
The length of [tex]\overline {OF}[/tex] = The length of [tex]\overline {FB}[/tex]
Angle D = angle B
The radius of the circle = 6·x
The measure of arc EF = 60°
The required information = The perimeter of triangle DOB
We have;
Given that the base angles of the triangles DOB are equal, we have that ΔDOB is an isosceles triangle, therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex]
The length of [tex]\overline {OB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {FB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {OF}[/tex] = 2 × [tex]\overline {OF}[/tex]
∴ The length of [tex]\overline {OD}[/tex] = 2 × [tex]\overline {OF}[/tex] = The length of [tex]\overline {OB}[/tex]
Given that arc EF = 60°, and the point 'O' is the center of the circle, we have;
∠EOF = The measure of arc EF = 60° = ∠DOB
Therefore, in ΔDOB, we have;
∠D + ∠B = 180° - ∠DOB = 180° - 60° = 120°
∵ ∠D = ∠B, we have;
∠D + ∠B = ∠D + ∠D = 2 × ∠D = 120°
∠D = ∠B = 120°/2 = 60°
All three interior angles of ΔDOB = 60°
∴ ΔDOB is an equilateral triangle and all sides of ΔDOB are equal
Therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex] = The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex]
The perimeter of ΔDOB = The length of [tex]\overline {OD}[/tex] + The length of [tex]\overline {OB}[/tex] + The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] = 6 × [tex]\overline {OF}[/tex]
∴ The perimeter of ΔDOB = 6 × [tex]\overline {OF}[/tex]
The radius of the circle = [tex]\overline {OF}[/tex] = 6·x
∴ The perimeter of ΔDOB = 6 × 6·x = 36·x
Write the slope-intercept form of the linear equation that has a slope of 3
and a y-intercept of -1.
Answer:
y = 3x - 1
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
what is the solution of the system of liner equations -3x+4y=-18 2x-y=7
Answer:
(2, -3)
Step-by-step explanation:
YEAH
Answer:
x=2; y=-3
Step-by-step explanation:
HEEELPPPPPPPPPPPPPPPPPPP ill give 20 brainlists
Answer:
B
Step-by-step explanation:
i think it is.....................
how would 3 over 5
be Classified
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.