Answer:
1539.4
Step-by-step explanation:
Steps:
Volume of a cylinder= πr²h
radius= diameter/2
= 14/2
= 7 cm
Volume= π x 7² x 10
= 1539.38
= 1539.4 cm³
Answer:
1539.4
Step-by-step explanation:
to find the area of a cylinder, you solve pi x radius²
3.14 x 7² = 153.94
then you multiply times the height
153.94 x 10 = 1549.4
A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?
really need help quick GR5 question
Answer:
Amount won : $3,000,000
Step-by-step explanation:
Let the amount won be =100 x
Amount spent on house :
[tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]
Remaining amount = 100x - 80x = 20x
Amount spent on yacht :
[tex]\frac{3}{4} \ of \ 20x = 15x[/tex]
Remaining amount = 20x - 15x = 5x
Amount spent on a trip :
[tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]
Remaining amount =
[tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]
This amount is given for charity :
[tex]\frac{5}{3}x[/tex]
But given :
Amount given to charity is 50000
Therefore ,
[tex]\frac{5}{3}x = 50000[/tex]
[tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]
Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000
The amount of money he won
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).
Answer:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?
What’s the area of the rectangle
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
help please. really need answers to understand
Answer:
hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)
Step-by-step explanation:
1) A = P (1+ r/n) ^ nt
interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12
A = 10,000(1 + .04/12)^(3*12)
A = 10000(1.00333)^36
A = $11,272.71
========================
2) [tex]A = pe^{rt}[/tex]
A = 15,000 [tex]e^{.06 t}[/tex]
18,000= 15,000 [tex]e^{.06 t}[/tex]
1.2= [tex]e^{.6 t}[/tex]
ln(1.2) = .06t (ln e)
.1823 / .06 = 3.03 years
Note: ln e = 1
==========================
[tex]3^{5x+1} = 27[/tex]
[tex]3^{5x+1} = 3^{3}[/tex]
thus: 5x+ 1 = 3
5x = 2
x = 2/5
==============================
f(x) = 5x - 12
y = 5x - 12
inverse
x = 5y - 12
5y = x + 12
y = 1/5 x + 12/5
=====================
fog(X) =
f(X) =6x+12
g(x) = x^2 + 3
fog(X) = 6(x^2 + 3)+12
= 6x^2 + 18 + 12
= 8x^2 + 30
Domain (- infinity, + infinity)
======================
vertex 3x^2 - 6x + 2
verted = [-b/2a, f(-b/2a)]
a=3 , b=-6 , c = 2
-b/2a = 6/6 = 1
f(-b/2a) = -1
vertex = (1,-1)
=======================
30x - .4x^2
-30/-.8 = 37.5
max rev = 30(37.5) - .4(37.5)^2 = $562.5
How much space does Lacey’s mom cover in frosting?
The functions f(x) and g(x) are defined below. (in the image attached)
Which expression is equal to f(x) + g(x)?
[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
This is the right answer.
Refer to the attachment for the complete work.
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
Find two points
(0,-2) and (3,0)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (0- -2)/(3-0)
= (0+2)/(3-0)
= 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].
The slope of the line that passes through these points is:
[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answer:
x> 17/8
Step-by-step explanation:
add the numbers
17-8x<0
move the constant to the right-hand side and change its sign
-8x<-17
Divide both side of the inequality by -8 and flip the inequality sign
x>17/8
The nth term of a sequence is 5n.
Work out the 10th term of this sequence.
Answer:
The 10th term is 50
Step-by-step explanation:
5(10) = 50
What is the expression in radical form?
(20) 5/2
Enter your answer, in simplest form, in the box.
Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!
Answer:
32
Step-by-step explanation:
1-4
Answer:
1331/x =x²/1331
cros multiplying
x³=1331²
x=³√(1331²)
100 POINTS HELP ME NOW!
Answer:
[tex]160[/tex]
Step-by-step explanation:
A rectangular prism's surface area is [tex]2(wl+hl+hw)[/tex].
2·(10·5+2·5+2·10)=160.
Answer:
a or c
Step-by-step explanation:
surry if im wrong
4th grade math question:
jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.
Answer:
1 gallon
Step-by-step explanation:
gallons of paint needed; 4
gallons used: (3/4)*4
= 1 gallon was used
Answer:
Answer is 3 gallons
Step-by-step explanation:
1 gallon= 25%
2 gallons=50%
3 gallons=75%
3/4 is equivalent to 75%
Hope this helped!
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?
Answer:
43.2 meters
Step-by-step explanation:
Multiply the length of one piece of ribbon by 8 to determine the total length
5.4 * 8 =43.2 meters
f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]
f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
Find the product of (4z2 + 7z – 8) and (–z + 3).
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.
Answer:
-4z^3 + 5z^2 + 29z -24
Step-by-step explanation:
(4z^2 + 7z-8) (-z+3)
would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
and simplified to -4z^3 + 5z^2 + 29z -24
Answer:
5
29
Step-by-step explanation:
(2x+8)-(x-8) PLS HELP
List the smallest three values in the set below. {x | x ∈ E and x < 30}
Answer:
Step-by-step explanation:
Notation
We need some notation to make talking about sets easier. Consider,
A
=
{
1
,
2
,
3
}
.
A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.
Plzz help me
Answer:
Area of the bookmark = 52.56 cm²
Step-by-step explanation:
The two semicircles attached at both end of the rectangle will give us a full circle.
Therefore,
Area of the bookmark = area of rectangle + Area of a circle
Area of the bookmark = L × W + πr²
Length (L) = 10 cm
Width (W) = 4 cm
radius (r) = ½(4) = 2 cm
π = 3.14
Plug in the values into the equation
Area of bookmark = 10 × 4 + 3.14 × 2²
= 40 + 12.56
= 52.56 cm²
The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.
CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL
Answer:
65
Step-by-step explanation:
Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?
Jonah should shade 6 parts of 10 equal parts to show 3/5.
Hope this helps! :)
What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees
Find the value of x. Round your answer to the nearest tenth.
Answer:
35 is the value of x
Can someone answer this please
Answer:
good luck man
Step-by-step explanation:
you will get answers after some time
Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?
Answer:
30 cookies
Step-by-step explanation:
Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.
Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex] an improper fraction first.
[tex]3\frac{3}{4} =\frac{15}{4}[/tex]
Ok! Let's multiply.
[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]
Ok, Reeba baked 45 cookies in total. We know that she sells [tex]\frac{2}{3}[/tex] of her baked cookies, so we can again multiply the two numbers.
[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]
Therefore, Reeba sold 30 cookies.
I hope this helps! Let me know if you have any questions :)