Answer:
The first step is to subtract 9 from each side
Step-by-step explanation:
2x+9=21
The first step is to subtract 9 from each side
2x+9-9 = 21-9
2x = 12
Then divide by 2 on each side
2x/2 = 12/2
x = 6
Answer:
That would be to collect like terms
Step-by-step explanation:
Further explanation
[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]
Which expression could be used to calculate the volume of the new can?
Answer:
C.
Step-by-step explanation:
pi(r)^2
pi(2x+1)^2
6x(4pix^2+4pix+1pi)
24pix^3+24pix^2+6pix
Answer:
C
Explanation:
Volume for a cylinder is V= (pi)(r^2)(h)
r being radius, h being height.
The radius is 2x+1, so square that
(2x+1)^2 = 4x^2 + 4x + 1
Then multiply by 6x, the height
(4x^2 + 4x + 1)(6x) = 24x^3 + 24x^2 + 6x
Then multiply each term pi, which would be answer C.
How many solutions does this equation have? -3 – 7t = -7t - 3
1)no solution
2)one solution
3)infinitely many solutions
Answer:
3)infinitely many solution
Step-by-step explanation:
-3 - 7t = -7t - 3
-7t + 7t = -3 + 3
0 = 0
if there is same number on both side it have infinitely many solution.
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Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.
-0.00018
1.8 × 10 -4
18 × 10 4
0.00018
1800
Step-by-step explanation:
It is given that the result displayed on the calculator screen is [tex]1.8E 10^{-4}[/tex]. We need to say out of all options, which options represent the equivalent number.
[tex]1.8\times 10^{-4}=\dfrac{1.8}{10^4}\\\\=\dfrac{1.8}{10000}[/tex] .....(1)
Option (2) is correct i.e. [tex]1.8E10^{-4}=1.8\times 10^{-4}[/tex]
From eq2uation (1)
[tex]\dfrac{1.8}{10000}=\dfrac{18}{100000}\\\\=0.00018[/tex]
Option (4) is correct.
Question 3
Find the domain and range of the function represented by the graph?
A. Domain: -3
Range: -4<=y<=0
B. Domain: {-3, -2, -1, 0, 1}
Range: {-3, -2, 0, 1}
C. Domain: {-4, -3, 0, 1, 2}
Range: {-4, -3, -2, -1, 0}
D. Domain: -4 <= x<=-3
Range: 0<=y<=1
Answer:
Domain: [tex]-3\leq x\leq 1[/tex]
Range: [tex]-4\leq y\leq 0[/tex]
Step-by-step explanation:
If you find the coordinate of the graph you can get the domain and range
(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)
Now that we have that find the domain and range
Domain - x coordinate
Range - y coordinate
Domain: (-3, -2, -1, 0, 1)
Range: (-4, -2, 0)
Since the domain ranges from -3 to 1 you can use the inequality [tex]-3\leq x\leq 1[/tex] to represent the domain and [tex]-4\leq y\leq 0[/tex] for the range
bob makes $6 dollars and hour. write an expression that will represent his total pay for h hours of work
Answer:
y = 6x
Step-by-step explanation:
pay = $6 per hour
y = 6x
Answer:
total pay = 6h
Step-by-step explanation:
total pay = pay per hour *hours worked
total pay = 6h
please helppp!!!!!!!!
Which expressions are equivalent to 4(4a+5
Answer:
4(4a+5) = 16 a + 20 = True
Step-by-step explanation:
Translate and solve:
The product of a number
and -8 is more than 64
Answer:
x < -8
Step-by-step explanation:
Step 1: Translate
Product = multiplication = -8(x)
More than = >
64 = 64
Step 2: Write out inequality
-8x > 64
Step 3: Solve
x < -8
who would win? Justice leage or the Teen titans, the Thundercats and the Teenage mutant ninja turtles
Answer:
JUSTICE LEAGUE
Step-by-step explanation:
What is the difference between (-5) to the second power to -5 to the second power
Answer:
the negative
Step-by-step explanation:
if you do -5 to the second power it will give you -25 and if you do (-5) it will give you 25.
ng
In 40 baseball games, Juan's team has
scored 50 runs. If the team continues at
this rate, how many runs could the team
expect to score in 180-game season?
II
Answer:
225 runs
Step-by-step explanation:
180/40 = 4.5
50 × 4.5 = 225
Find the volume of the cone.
Either enter an exact answer in terms of or use 3.14 for radius is 6 height is 8
Answer:
Hey there!
Cone formula: [tex]\pi[/tex]hr^2/3
Plugging in the values, we get the volume is 301.59
Let me know if this helps :)
Answer:
96π
301.59
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
[tex]V=\frac{1}{3}bh[/tex]
b is the base and h is the height. The base formula for a circle (area):
[tex]b=\pi r^2[/tex]
Insert this value into the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Simplify the formula:
[tex]V=\frac{\pi r^2h }{3}[/tex]
Now insert the known values:
[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]
Simplify:
[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]
The volume is 96π units³ or 301.59 units³.
:Done
Which of the following is a factor of x^2 -5x-6
Answer:
(x-6)(x+1)
Step-by-step explanation:
How do I do? What is the answer and why
Answer:
Step-by-step explanation:
∠ADE = 74 {Vertically opposite angles are equal}
∠AED + 127 = 180 {Straight line }
∠AED = 180 - 127
∠AED = 53
In ΔADE,
∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}
∠DAE + 53 + 74 = 180
∠DAE + 127 = 180
∠DAE = 180 -127
∠DAE = 53
Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.
Answer:
Step-by-step explanation:
f'(x)=-2x+7
f(x) is decreasing if '(x)<0
so -2x+7<0
or 7<2x
or 2x>7
or x>7/2
including end points f(x) is decreasing in [3/2,∞)
D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB
Answer:
x = 8
AB = 54
Step-by-step explanation:
AD = DB
2x+11 = 4x-5
11 = 2x - 5
16 = 2x
8 = x
2(8) + 11 =
16 + 11 = 27
I'm bad at math. a plan for a baseball diamond is drawn in a coordinate plane. the baseball diamond is in a shape of a square.with vertices at approximately (0,64),(64,0),(0,—64), and (—64,0). one unit in the coordinate plane represents 1 ft. what is the approximate area of the baseball diamond? what is the area of the trapezoid shown?
Answer:
Area of diamond=8192
Area of trapezoid =72 square unit
Step-by-step explanation:
Area of diamond:
find the distance between the points:
(0,64), (64,0), (0,-64),(-64,0)
d=√(x2-x1)²+(y2-y1)²
d=√64²+64²
d=64√2=90.51( rounded to the nearest hundredth)
since it is shape of square then all sides are equal
A=length*width
A=64√2*64√2
A=8192 square unit4- Area of trapezoid= ((base a +base b)/2) h
base a=3, base b=6 height=8 ( from graph count the tiles)
Area of trapezoid = ((3*6)/2 )* 8
Area=18/2*8
Area=9*8=72 square unit
The area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The area of the diamond will be calculated as below:-
find the distance between the points:
(0,64), (64,0), (0,-64),(-64,0)
d=√(x2-x1)²+(y2-y1)²
d=√64²+64²
d=64√2=90.51( rounded to the nearest hundredth)
Since it is the shape of a square then all sides are equal
A=length x width
A=64√2 x 64√2
A=8192 square unit
The area of the trapezoid will be calculated as below:-
Area of trapezoid= ((base a +base b)/2) h
base a=3, base b=6 height=8 ( from graph count the tiles)
Area of trapezoid = ((3*6)/2 )* 8
Area=( 18/2 ) x 8
Area=9 x 8=72 square unit
Therefore, the area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.
To know more about the area of the trapezoid follow
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-7 – 9x = -61
please help solve and show your work. thank you.
Answer:
Step-by-step explanation:
-7 - 9x = -61
-9x = -54
x = 6
The formula for the area of a triangle is A=1/2 bh, where b is the base of the triangle. what is the length of the base if the area is 32cm squared and the height is 4 cm
Answer:
base =16Step-by-step explanation:
[tex]A = \frac{1}{2} \times b \times h\\A = 32\\b = ?=x\\h = 4\\\\32 = \frac{1}{2} \times x \times 4\\\\32 = \frac{4x}{2} \\\\Cross \: Multiply\\\\64 =4x \\Divde \: both \: sides \: of \: the \:equation \:by \: 4\\\\\frac{4x}{4} = \frac{64}{4} \\\\x = 16[/tex]
−18+p=18 what property would be used for this
Answer:
addition property of equality
Step-by-step explanation:
−18+p=18
Add 18 to each side using the addition property of equality
−18+18+p=18+18
p = 36
Find the slope and y-intercept of y = 2x - 5.
I
m =
b
Step-by-step explanation:
y=2x-5 is in y=mx+b
Where m = slope
[tex]slope = m = 2[/tex]
To find y-intercept :
[tex]y = 2x - 5[/tex]
Let x =0
[tex]y = 2(0) - 5 \\ y = 0 - 5 \\ y = - 5[/tex]
Evaluate the expression when x = 11-2
10
1.-6x4 +X +20
2. 5x2 - 9x2 + 35
3. -8x + 13x3 -10
4. -9x2 + 10x -15
5. -8x2 + 13x3 +20
6. 8x4 + 13x - 10
7.-9x + 10x4 -15
8.-18x3 + 10x2 +20
9. 7x4 + 13x2-10
10. 6x3 + 13x - 10
11. 3x2 + 13x2 -10
12. 2x4 + 13x - 10
Can someone help me please
I'm confused as to why there's a random "10" but the answer is actually pretty simple. Insert (11-210) into the problems.
Basically substitute (11-210) into the numbers with the x variable.
What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x –13
please make me as brainliest
Answer:
A
Step-by-step explanation:
Nevaeh had 12 blue pencils and 18 red pencils to give out equally among the maximum number of classmates. How many red pencils will she give to each classmate?
Answer:
The answer to this problem is 3
Step-by-step explanation:
What would be the total if 25%is 18
Answer:
72
Step-by-step explanation:
You would first change 25% to 0.25
Then divide 18 by 0.25 (18/0.25)
Which equals 72
Answer:
4.5 because its basically 18 divided by 4
Step-by-step explanation:
2ab - ab + 2a + 3b + 2ab
what is this simplified ?
Answer: The answer is 3ab + 2a + 3b.
Step-by-step explanation:
So we are given this equation:
2ab - ab + 2a + 3b + 2ab
First we have to add like terms:
2ab + 2ab - ab + 2a + 3b
4ab - ab + 2a + 3b
3ab + 2a + 3b
Here is your answer!
evaluate zx-xy-7 use x=-3, y=8, and z=-9*
Answer:
44
Step-by-step explanation:
1. substitute variables with their constants
(-9)(-3) - (-3)(8) - 7
2. multiply all like terms
(27) - (-24) - 7
3. Combine all like terms
27 + 24 - 7
51 - 7
= 44
Answer:
44
Step-by-step explanation:
Evaluate z x - x y - 7 where x = -3, y = 8 and z = -9:
z x - x y - 7 = -9 (-3) - -3×8 - 7
Hint: | Multiply -9 and -3 together.
-9 (-3) = 27:
27 - -3×8 - 7
Hint: | Multiply -1 and -3 together.
-(-3) = 3:
27 + 3×8 - 7
Hint: | Multiply 3 and 8 together.
3×8 = 24:
27 + 24 - 7
Hint: | Evaluate 27 + 24 using long addition.
| 1 |
| 2 | 7
+ | 2 | 4
| 5 | 1:
51 - 7
Hint: | Subtract 7 from 51.
| 4 | 11
| 5 | 1
- | | 7
| 4 | 4:
Answer: 44
Two co-teachers, Daniel and Mathew, have to grade a set of math journals.
Daniel grades 45% of the journals and Mathew grades 55% of them.
Mathew has to grade 121 journals. How many total journals have to be graded?
Answer:
220
Step-by-step explanation:
55 percentage of x = 121
so X = 220
as simple as that
What are the coordinates of point F?
D
3
B
2
С
--4
- 3
-2
-1
0
2
3
4
-1
- 2
-3
-4
Answer: Point F is at location (-4, -5)
The x and y axis meet at the origin (0,0)
Start at the origin and move 4 units to the left. This means the x coordinate is x = -4
Then move 5 units down so the y coordinate is y = -5
Put together (x,y) = (-4, -5) describes where point F is located.
Answer:
(-4-5)
Step-by-step explanation:
7)
The first floor of the Willis Tower is 21 feet high. Each additional floor is 12 feet high.
a
Write an equation for the nth floor of the tower.
b.
Find the height of the 65th floor.
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
21, 33, 45...
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as [tex]T_n = a + (n-1)d[/tex]
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;
[tex]T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n[/tex]
Hence the equation for the nth floor of the tower is expressed as [tex]T_n = 9+12n[/tex]
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)
[tex]T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft[/tex]
Hence the height of the 65th floor is 789feets.