34. CONSTRUCTION A construction worker is working on the roof of a
building. A drop of paint falls from a rafter that is 225 feet above the
ground. After how many seconds does the paint hit the ground?
Answer:
t = 6.77 s
Step-by-step explanation:
Given that,
A drop of paint falls from a rafter that is 225 feet above the ground.
We need to find the time when the paint hit the ground. Let the time be t.
Using the second equation of kinematics i.e.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
u = 0 (initial velocity is 0 as it was at rest)
a = g
So,
[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]
So, it will hit the ground at 6.77 s.
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that percent rate, how much would he pay in sales tax for an item that costs $58.00 before tax?
Answer:
4.06
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
qsSDASD
are z^3 and 3z equivalent expressions? explain.
Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
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1. Given f(x) = 3
Find |(2)
Please, What is the answer?
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
----------------
Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.The students in Jamie's grade voted to select a guest speaker. 75% of
the students voted for a famous athlete. If there are 48 students in Jamie's
grade, how many students voted for the athlete?
In a certain town there were 348 robberies last year. This year the number of robberies has gone down 40%. How many robberies were there this year, to the nearest whole number?
Answer:
209 robberies
Step-by-step explanation:
Robberies last year =348
Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.
Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8
To the nearest whole number = 209
There are 209 robberies this year.
I hope this help.
2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem
Evaluate the function f(x)=x+4 when x=3
Answer:
f(3) = 7
Step-by-step explanation:
f(3) = 3+4
f(3) = 7
Azim wants to buy a tablet computer that is priced 180.50 if the sales tax rate on the computer is 8% how many dollars and cents will Azim spend on the sales tax only
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.
Change the following into m square 30,000cm²
Answer: 3sqm
Step-by-step explanation:
Easy brainliest for correct answer 100%
Answer:
B) A/l
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide l from both sides of the equation:
A = l * w
(A)/l = (l)/l * w
w = A/l
B) A/l is your answer.
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Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z
Answer:
Area of rectangle = 10 in.²
Area of triangle = 0.5 in.²
Square inches of plastic in bookmark = 9.5 in.²
Step-by-step explanation:
✔️Area of rectangle = Length × Width
Length = 5 in.
Width = 2 in.
Area of rectangle = 5 × 2 = 10 in.²
✔️Area of Triangle = ½*bh
b = 1 in.
h = 1 in.²
Area of triangle = ½*1*1
Area of triangle = 0.5 in.²
✔️Square inches of plastic in bookmark = area of rectangle - area of triangle
= 10 - 0.5 = 9.5 in²
which function represents the following graph.
Answer:
Option 3
Step-by-step explanation:
[tex]\left(x+3\right)^{\frac{1}{3}}+3[/tex]
Answer:
option 4 on edg
Step-by-step explanation:
y=3(x+3) +3
how do i solve for x
Answer:
55
Step-by-step explanation:
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
Sam plans to use two flags on his float for the parade. Each flag is a right triangle and the triangles are similar.What is the width, x, of the larger flag in feet? halp please!!! 100 POINTS
Answer:
6.25 ft
Step-by-step explanation:
The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25
Answer:
6.25ft
Step-by-step explanation:
What is the value of the expression f(–3)?
-15
3
-3
15
Answer:
Option A, -15
Step-by-step explanation:
Step 1: Look at the function that needs to be outputted when x = -3
Since x = -3, that means it falls into the first category of x ≤ -3
Step 2: Carry out the instructions
The function for the first category is [tex]-x^{2} + 2x[/tex]
[tex]f(-3) =-(-3)^{2}+2(-3)[/tex]
[tex]f(-3) = -(9) - 6[/tex]
[tex]f(-3) = -15[/tex]
Answer: Option A, -15
Henry constructed circle A with a radius of 4 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?
Answer:
C
Step-by-step explanation:
area of circle is found by [tex]\pi[/tex][tex]r^{2}[/tex]
r=4 so 4*4=16
so A=16[tex]\pi[/tex]
we are finding area of shaded part so 45/360(16[tex]\pi[/tex])
The area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
Henry constructed circle A with a radius of 4 units.
Henry then created a sector as shown in the figure below.
As we know, the area of the sector can be find using the formula:
Area of the sector = (θ/360)πr²
Here, θ is the central angle
r is the radius
π = 3.141
r = 4 units
θ = 45 degrees
A = (45/360)π(4)²
A = (45/360)16π square units
Thus, the area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
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What value of x is in the solution set of 2x - 3> 11 - 5x?
0 -3
O 0
O2
o 4
Answer:
The answer is x>2, x has to be greater than 2,
the answer is 4 since it is greater than 2
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
Chloe scored 24 points over the first 12 games of the basketball season. She scored 112 points over the last 16 games of the season. How many more points per game did Chloe score in the last 16 games of the season?
Answer:
5 points
Step-by-step explanation:
First, find how many points per game she scored over the first 12 games:
24/12
= 2 points per game
Now, find how many she scored in the last 16 games:
112/16
= 7 points per game
Find the difference:
7 - 2
= 5
So, she scored 5 more points per game in the last 16 games
Answer:
first 12 games- 24/12= 2ppg
Last 16 games- 112/16= 7ppg
7-2= 5 points per game more
True or false. Basketball is one of the only sports that has a specific founder and known
location when it was created.
Answer:
True
Step-by-step explanation:
Hope this helps you
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
What would you call the expression 2x -5y - 7?
Answer:
Trinomial
Step-by-step explanation:
Its called a Trinomial since it has 3 terms in it
Hope its helps!
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC=LMN?
A. ASA
B. LL
C. SAS
D. LA
E. HL
F. AAS
Answer:
C is the answer according to me
5. What is the volume of the figure below?
18 cm
5 cm
12 cm
A. 180 cm
B. 540 cm
13 cm
C. 380 cm2
D. 360 cm3
Answer:
732
Step-by-step explanation:
Solve for x.
(Round to the nearest hundredth)
Answer:
Step-by-step explanation:
[tex]\frac{x}{40} =sin 40\\x=40 sin 40 \approx 25.71[/tex]
nine more than the product of 22 and Gordons height
Answer:
9 + 22h
Explanation:
The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h
So, we have:
nine more than the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]
More than, in this case means plus (+)
nine + the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]
Rewrite nine as 9 and substitute h for Gordons height
9 + the [tex]product[/tex] of 22 and h
product, in this case means multiplication (*)
9 + 22 * h
So, the expression is:
9 + 22h
What is the value of x in the equation?
3(2x+3)=27
Answer:
x=3
Step-by-step explanation:
3(2x+3)=27
2x+3=27/3=9
2x=9-3=6
x=6/2=3