Answer:
58.33 cubic units
Step-by-step explanation:
Volume of cone
= 1/3 * Volume of cylinder
= 1/3 * 175
= 58.33 cubic units
Answer:
58 1/3
Step-by-step explanation:
1/3*175=58.3333333
or 58 1/3
on a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing.
2 inches : 8 feet
simplified scale:
1 inch : 4 feet
Which diagram best shows that 14x2 + 21x in factored form is 7x(2x + 3)?
Answer: B
Step-by-step explanation:
Fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 14x²+21x
Fourteen x square plus twenty one times of x.
x is the variable and plus is the operator.
14x²+21x
We need to take 7x as common from two terms.
When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form.
Seven x is product of two times of x plus three.
7x(2x+3)
The fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)
To learn more on Number system click:
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What is the interval of convergence
Answer:
The interval of converges of a power series is the interval of input values for which the series converges.
Step-by-step explanation:
5^(11x+23)=125^(7x)
how to solve for x
The function f is defined as follows for the domain given.
f(x) = 2–2x domain = (-1,0, 1, 2}
Write the range of f using set notation. Then graph f.
Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Step-by-step explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axisAs the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
Determining the range
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )
-2x + 6 + 6x = 12x - 18
4x + 6 = 12x - 18
6 = 8 × - 18
24 = 8x
3=x
please solve!
-2x + 6 + 6x = 6 (2x - 3) this is the equation
-2x + 6 + 6x = 12x - 18 distributive property has been applied
4x + 6 = 12x - 18 like terms have been added
6 = 8x -18 4x has been subtracted from both sides
24 = 8x -18 has been added to both sides
3 = x 8 has been divided from both sides
I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
The ratio x : y is 1 : 3
Which of the following statements are correct?
A) x is 1/3 of y
B) y is 3/4 of (x + y)
C) x is 1/4 of y
D) y is 3/4 of x
Answer:
A. x is ⅓ of y
Step-by-step explanation:
x : y
= 1 : 3
Therefore,
x = 1
y = 3
If so x is 1/3 of y
Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume.
Answer:
sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]
Step-by-step explanation:
heloo hello HELPP FAST OR ILL DIE
Answer:
f(-7)= 21
Step-by-step explanation:
-(-7)^2-10(-7)
-7^2-10×-7
-49-10×-7
-49-(-70)
-49+70
21
18 is the product of 6 and x.
how would i show my work
Answer:
3
Step-by-step explanation:
x x6=18
x=3
Answer:
(18=6 times x) you would divide both sides by 6 since inverse operations and to leave the x by itself. 18/6 is 3 so 3=x
-2/4 times 344/9=?
Please help me . I dont really understand this question.
Answer:
-19 1/9
Step-by-step explanation:
Solve the system by substitution.
2x + 10y = -32
x = -9y
Answer:
point form (-36,4) equation form x=−36,y=4
Step-by-step explanation:
Given g(x)= 3x−4, solve for x when g(x) =5.
Answer:
x = 3
Step-by-step explanation:
5 = 3x - 4
9 = 3x
x = 3
Compare -5 and -3.
Answer:
Simplifying then comparing both terms
−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3
Step-by-step explanation:
Hope this helps have a good day^^
Review the proof.
Which expression will complete step 3 in the proof?
How can I complete step 3 in proof and review it what is step 3
4-(3-5)=?
-4
-2
6
12
Answer:
6
Step-by-step explanation:
3 - 5 = -2
4 - (-2) = 6
When subtracting a negative from a positive number you add them together to get you sum or difference.
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 1/2 inch per minute.
Write an expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
Answer:
[tex]\frac{dr}{dh} =-\frac{r}{2h}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = πr²h,
Where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
We are to express the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
That means we express dr / dh in terms of height h and radius r. To do this, we have to first differentiate the volume with respect to the height, i.e. find dV / dh:
V = πr²h
[tex]\frac{dV}{dh}= \frac{d}{dh} (\pi r^2h)\\\\\frac{dV}{dh}= \pi r^2 + 2\pi rh \frac{dr}{dh} \\\\The\ volume\ is\ constant\ hence\ \frac{dV}{dh}=0.\ We\ get\ that:\\\\0= \pi r^2 + 2\pi rh \frac{dr}{dh}\\\\- \pi r^2 =2\pi rh \frac{dr}{dh}\\\\ \frac{dr}{dh}=-\frac{\pi r^2}{2\pi rh}\\\\ \frac{dr}{dh}=-\frac{r}{2h}[/tex]:
The circumference of a coin is 167 cm. What is the radius? What is the diameter?
Answer:
Radius, r = 26.57 cm and diameter = 53.14 cm
Step-by-step explanation:
Given that,
The circumference of a coin, C = 167 cm
We need to find the radius and the diameter of the coin.
The formula for the circumference of a circle is given by :
[tex]C=2\pi r[/tex]
Where
r is radius of coin
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{167}{2\pi}\\\\r=26.57\ cm[/tex]
Diameter, d = 2r
d = 2(26.57) cm
= 53.14 cm
Hence, this is the required solution.
What is 35% divided by 200
Answer:
0.00175
Step-by-step explanation:
Solve for the missing side of the triangle.
Round off answer to the nearest thousandths
(3 decimal places)
SOH CAH TOA
x =
239
14
Х
Answer:
x = 5.943
Step-by-step explanation:
Reference angle = 23°
Side opposite to reference angle = x
Adjacent side = 14
Therefore, we would apply TOA to find x.
Thus:
tan (23) = x/14
Multiply both sides by 14
14 × tan(23) = x
5.94264742 = x
x = 5.943 (to 3 decimal places)
Pls help I need a good grade on this I’ll brainlest
Answer:
the second is better deal
the unit rate for the better deal is $4.07
What number is represented by point B?
4/5
1 4/5
1 5/4
2 1/5
Answer:
1 5/4
Step-by-step explanation:
can you write a equation with a slope of 3 and a y-intersept of (0,4)
Answer:
y=3x+4
Step-by-step explanation:
y=mx+b
m=3
b=4
just plug it in
Can somebody please help me with this question?
Answer:
a. 76 cm
b. 16 in.
c. 225 cm
Step-by-step explanation:
a. Converting 30 inches to centimetres:
When y(inches) = 30, x (centimetres) = 76
So, 30 in. = 76 cm
b. When x (cm) = 40, y (in.) = 16
So, 40 cm = 16 in.
c. Given that a fence is 7 ft 6 in. high, and 1 ft = 12 in., to find the height of the fence in cm, first convert the height to in.
Convert 7ft to inches:
If 1 ft = 12 in., then,
7 ft = 7*12 = 84 inches
The height of the fence in inches = 84 + 6 = 90 inches
Using the graph, find the unit rate using any point on the line, say (100, 40):
Unit rate = y/x = inches/centimeters =
Unit rate (m) = 40/100 = ⅖
Write an equation for the line:
To do this, substitute m = ⅖ into y = mx
Equation: y = ⅖x
Let's convert the height of the fence, 90 inches, to centimetres:
To convert to cm, substitute y = 90 into y = ⅖x
Thus:
90 = ⅖*x
5*90 = 2x
450 = 2x
Divide both sides by 2
450/2 = x
225 = x
Height of the fence in cm = 225 cm
help me with this please
Answer:
1. Sine A = 3/5
2. Cos A = 4/5
3. Tan A = 3/4
4. Sine B = 4/5
5. Cos B = 3/5
6. Tan B = 4/3
Step-by-step explanation:
1. Determination of Sine A
Opposite = 3 in
Hypothenus = 5 in
Sine A =?
Sine A = opposite / Hypothenus
Sine A = 3/5
2. Determination of Cos A
Adjacent = 4 in
Hypothenus = 5 in
Cos A =?
Cos A = Adjacent / Hypothenus
Cos A = 4/5
3. Determination of Tan A
Opposite = 3 in
Adjacent = 4 in
Tan A =?
Tan A = opposite / Adjacent
Tan A = 3/4
4. Determination of Sine B
Opposite = 4 in
Hypothenus = 5 in
Sine B =?
Sine B = Opposite / Hypothenus
Sine B = 4/5
5. Determination of Cos B
Adjacent = 3 in
Hypothenus = 5 in
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 3/5
6. Determination of Tan B
Opposite = 4 in
Adjacent = 3 in
Tan B =?
Tan B = opposite / Adjacent
Tan B = 4/3
Solve for x. Write the reasons next to each step.
(2x - 6)
(x + 40)
Answer:
The answer for first one is,
[tex]2(x - 3)[/tex]
sorry I don't know the answer for second one.
Which sentence correctly compares the rates Bill and Kevin drove on their trips? (A) Bill drove at a rate that was 10 miles per hour slower than the rate Kevin drove. (B) Bill drove at a rate that was 10 miles per hour faster than the rate Kevin drove. (C) Bill drove at a rate that was 20 miles per hour slower than the rate Kevin drove. (D) Bill drove at a rate that was 20 miles per hour faster than the rate Kevin drove.
Answer:
Not sure
Step-by-step explanation:
Please help, make sure to do a step by step so i'm not cheating, i just need some help .
Carrie invests £800 for 4 years at 3% interest per year.
How much interest does she earn?
Answer:
13
Step-by-step explanation:
Which function has the graph with the greatest y-intercept?
Answer:
The greatest y-intercept c = 6
Step-by-step explanation:
we know that
slope-intercept form y = mx +c
a) Given that f(x) = [tex]6x + \frac{1}{6}[/tex]
[tex]y = 6x + \frac{1}{6}[/tex]
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= 1/6
b) Given that f(x) = [tex]6x -6[/tex]
y = 6x -6
comparing y = mx +c
slope of the line m = 6 and Y - intercept c= -6
c)
Given that f(x) = [tex]\frac{1}{6} x +6[/tex]
y = [tex]\frac{1}{6} x +6[/tex]
comparing y = mx +c
slope of the line m = [tex]\frac{1}{6}[/tex] and Y - intercept c= 6 ( greatest intercept)
d)
Given that 6 k(x) = x
k(x) = [tex]\frac{1}{6} x[/tex]
y = [tex]\frac{1}{6} x[/tex]
comparing y = m x +c
The slope of the line m =[tex]\frac{1}{6}[/tex] and Y-intercept c=0
Final answer:-
The greatest y-intercept c = 6
Answer:
C. h(x)=1/6x+6
Step-by-step explanation:
