Answer:
1.C
2.D
3.all angles need to be different
4.A
5.E
6.B
Step-by-step explanation:
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
24 blocks
Step-by-step explanation:
2(5) + 2(7) = 10 + 14
Complete the table for the given rule.
Rule: y=x+3
Answer:
1
5
2
Step-by-step explanation:
4-3=1
8-3=5
5-3=2
Hope this helps! :)
Ambwene cut 3 lawns in his neighborhood on Friday and more on Saturday,
He earns $22.50 for each lawn cut. His total earning for both days is $135.
How many lawes did he cut on Saturday?
Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5
Which expression is equivalent to 44+100 as the product of GCF and sum?
A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)
*explain how you got the answer!*
Answer:
C.
Step-by-step explanation:
First you solve the bracket...
(22+50)= 72
72×2=144
Answer:
the answer is D because it has to greatest factor
A (5(8+20)=40+100
B (4(40+96)=160+384
C (2(22+50)=44+100
D (4(11+25)=44+100
The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Answer:
The volume of the cylinder is defined by the expression .
[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]
The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Now , the radius of the cylinder is r = ( x + 8 ) units
The height of the cylinder is h = ( 2x + 3 ) units
And , Volume of Cylinder = πr²h
On simplifying , we get
The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³
The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )
The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³
Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³
To learn more about cylinder click :
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11. Square ABCD shown has sides of length 10 centimeters. The unshaded
portions are both semicircles. Calculate the area of the shaded portion to
the nearest tenth of a square centimeter. *
Answer:
21cm^2
Step-by-step explanation:
Area of Square-Area of semi circles (makes one full circle)
Squares Area = 100
LxW or (10x10)=100
Circle Area = 25/pi
/pi (radius)^2 or /pi(5)^2 = 25/pi
100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2
The area of the shaded region is 21.5 cm²
What is a semi-circle?
'In geometry, a semicircle is a plane figure that is formed by dividing a circle into exactly two parts.'
According to the given problem,
Side length of the square = 10
Area of the square = ( 10 × 10 )
= 100 cm²
Now, for the semi-circle,
Diameter = 10 cm
Radius = [tex](\frac{10}{2}[/tex][tex])[/tex] cm
= 5 cm
Area of the semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
= [tex]\frac{\pi * 5^{2} }{2}[/tex]
Since, there are two semicircles in the square, we multiply the area with 2,
⇒ [tex]\frac{\pi *5^{2} }{2}*2[/tex]
= 25[tex]\pi[/tex]
Area of the shaded region = ( 100 - 25π )
= ( 100 - 78.53 )
= 21.46
≈ 21.5 cm²
Hence, we can conclude, the area of the shaded region is 21.5 cm².
Learn more about semi-circles here: https://brainly.com/question/14429410
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Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?
Answer:
y = 5x
Step-by-step explanation:
y = kx
65 = k (13)
65/13 = k
k = 5
~~~~~~~~~~~~
y = 5x
Help me ASAP please
Answer:
D. F(x) = (x - 1)^4
Step-by-step explanation:
To shift a graph h units horizontally, replace x by x - h.
The shift is 1 unit to the right, so the shift is positive 1.
h = 1
x - h = x - 1
Replace x with x - 1.
G(x) = x^2 becomes F(x) = (x - 1)^4
What is the inverse of the function f(x) = 2x + 1?
Answer:
f^1(x)= (1/2)x-(1/2)
hope this helped
Need help with this question
Help me pleaseeeeeeeee
if (x) = 5x-2 and g(x)= 2x+1, find (f+g)(x)
A 3x-1
B. 4-3
C. 7x-3
D. 7x-1
Answer:
D. 7x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 5x - 2
g(x) = 2x + 1
Step 2: Find
Substitute in functions: (f + g)(x) = 5x - 2 + 2x + 1Combine like terms: (f + g)(x) = 7x - 1which function is nonlinear
Answer:
C, y=2x(x-4)
Step-by-step explanation:
All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).
SOMEONE PLEASE HELP ME!!!!
Answer:
Step-by-step explanation:
scale factor=17/36
If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
Find the L.CM of 36,60,126
Answer:
1260
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
2 x 2 x 3 x 3 x 5 x 13
= 2340
................
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
First your rectangle
A = wl
A = 2 * 2
A = 4
Then one of your triangles
A = h b/2
A = 2 * 2/2
A = 2
you have 2 triangles, so the area is 4 + 4 from the rectangle
Answer:
Area = 8 units²
Step-by-step explanation:
Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.
Therefore, the area of the trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A=\frac{1}{2}(6+2)(2)[/tex]
[tex]A=\frac{1}{2}(8)(2)[/tex]
[tex]A=8[/tex]
This means that the area of the trapezoid is 8 units²
Two toy rockets are launched straight up into the air. The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. Write an equation to find the "difference" in height of Rocket A and Rocket B. Rocket A: -15t^2 + 100t and Rocket B: -14t^2 + 85t+3.
Given:
The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:
Rocket A: [tex]-15t^2+100t[/tex]
Rocket B: [tex]-14t^2+85t+3[/tex]
To find:
The equation to find the "difference" in height of Rocket A and Rocket B.
Solution:
The difference in height of Rocket A and Rocket B is:
Difference = Height of Rocket A - Height of Rocket B
[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]
[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]
[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]
[tex]\text{Difference}=-t^2+15t-3[/tex]
Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].
Plz answer this question
Answer:
3,16,729
Step-by-step explanation:
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
The system of equations above has solution (x,y). What is the value of x?
Answer:
x = 5.25
Step-by-step explanation:
Solve by substitution by substituting 2x as y into the first equation:
1/2(2x + y) = 21/2
1/2(2x + 2x) = 21/2
Simplify and solve for x:
1/2(4x) = 21/2
2x = 21/2
x = 21/4
x = 5.25
So, x = 5.25
Answer:
x = 5.25
step- by - step explanation
1/2 × ( 2x + y ) = 21/2 .............( 1 )
y = 2x ......................( 2 )
substitute the value of y in ( 1 )
1/2 ( 2x + 2 x ) = 21/2
simplify
1/2 ( 2 x + 2 x ) = 21/2
combine like terms
1/2 ( 4x ) = 22/2
Divide the numbers
1/2 ( 4 x ) = 10.5
divide 4 x by 2
4 x / 2 = 10.5
2 x = 10.5
divide each side by 2
2x/2 = 10.5 / 2
x = 5.25
John has 8 cards that spell the word H O M E W O R K. He shuffles them and then places them face down. Assume he returns the card on each occasion.
a) What is the probability that he will choose the letter O?
Answer:
1/4
Step-by-step explanation:
What is the value of X enter your answer in the box
Answer:
x = 27
Step-by-step explanation:
The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )
10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides
20x - 50 = 14x + 112 ( subtract 14x from both sides )
6x - 50 = 112 ( add 50 to both sides )
6x = 162 ( divide both sides by 6 )
x = 27
The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.
Answer:
5$
Step-by-step explanation:
Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.
Answer:
Exponential
Step-by-step explanation:
Linear is easy to remember because it goes in a straight LINE.
Only other option is a quadratic and this does not create a parabola
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
Does anybody know it part 2
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
Chang used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at E(5, 3), F(–4, 3), and G(–4, 5). Use absolute values of coordinates to find the distances between points E and F, and between points G and F. Enter your answers in the boxes. EF = units GF = units
Answer:
EF = 9
GF = 2
Step-by-step explanation:
For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.
For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.
What is 2y+5 = 3y+2 ?
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]