Answer:
102.222 square yards of light.
Step-by-step explanation:
From the above question, the yard had the dimensions 40 feet long and 23 feet wide.
Hence, the yard is rectangular in shape.
We have to find the area of the yard.
The formula is given as:
Area = Length × Width
= 40 feet × 23 feet
= 920 square feet
Converting to yards
1 square foot = 0.111 square yard
920 square feet = x
Cross Multiply
x = 920 × 0.111 square yard
x = 102.222 square yards.
Therefore, Robbert would need 102.222 square yards of light.
Precalculus continuity problem, use the 3 step definition of continuity to discuss the continuity (question is for jimthompson5910)
As the name implies, there are 3 parts or conditions that must be held true in order for the function to be continuous at x = a.
Those three conditions are:
f(a) existsThe limit [tex]\displaystyle \lim_{x\to a} f(x)[/tex] existsThe limiting value and the function value are the same, ie, [tex]\displaystyle \lim_{x\to a} f(x) = f(a)[/tex]---------------------------
In this case, a = -1 as this is where the junction happens. It's where f(x) swaps identity from the first piece x^2-3 to the second piece 3x+1
To compute f(a), aka f(-1), we'll use the second piece
f(x) = 3x+1
f(-1) = 3(-1)+1
f(-1) = -2
We see that f(a) does indeed exist, so condition (1) is held true.
----------------------------
To compute the limit, we'll need the left hand limit (LHL) and right hand limit (RHL)
The LHL is found by having x approach -1 from the left. So you'll start with something like x = -2, then move to x = -1.5 then to x = -1.1 then to x = -1.01, and so on, getting steadily closer to x = -1. We won't actually arrive at x = -1 itself.
But because x^2-3 is a polynomial, and all polynomials are continuous, we can simply plug x = -1 into this to find that...
y = x^2-3
y = (-1)^2 - 3
y = -2
The input x = -1 leads to the output y = -2 for the first piece. This is the LHL.
We found earlier that x = -1 lead to y = -2 for the second piece. This is the RHL.
Because LHL = RHL, we have proven condition (2) is true. It also means condition (3) is true because f(a) is part of the RHL, more or less.
----------------------------
In layman's terms, we can think of the two curves as roads. For the function to be continuous, the road cannot have any jumps, gaps, or potholes. Condition (1) says that the point must exist, aka there isn't a pothole there. Condition (2) says that the two pieces of the road, on either side of the point in question, must connect together. Hence there are no gaps or jumps. Condition (3) effectively ties everything together.
You might be asking if condition (3) is a bit redundant. Surely if f(a) exists and the limit exists, then that's enough to prove continuity, right? Unfortunately no that's not the case. Consider the situation where the limit exists, but f(a) was some other value. That means we have a removable discontinuity. That point in the road is a pothole but the two roads do connect.
One could argue that conditions (2) and (3) are sufficient, and condition (1) isn't really needed. This is because if condition (3) was the case, then we automatically have shown that f(a) must exist. This is of course assuming we found that the limit exists as well, and it's not plus/minus infinity.
Please help I literally don’t understand this at all
Answer:
x=13 y=10 z=3 d) 260
Step-by-step explanation:
vertex angles are congruent so you can set them equal to each other and solve
and then a straight like adds up to 180 so 180-(7(x-3)+5y)= your missing angle and then that angles is congruent to its opposite so 2(5z+15)=60
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
Can you please help me solve this??
Answer:
Step-by-step explanation:
1.25 yd x 2 yd x 1.5 yd
= 2.5 yd^2 x 1.5 yd
= 3 3/4 yd^3
answer is D
Please someone help!!!
Answer:
surface area of the cuboid
(2×2×5)+(2×12×5)+(2×12×2)
20+120+48
188 cm²
If the slope of a line is -2, what is the slope of a perpendicular line?
-2
2
-1/2
1/2
Answer:
option 4
Step-by-step explanation:
[tex]perpendicular means = slope_1 \times sope_2 = -1\\[/tex]
[tex]-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.
If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.
Given line: slope = -2
-2 is the same as -2/1
Flip it: -1/2
Change the sign: 1/2
Answer: 1/2
While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?
Answer:
288 pages
Step-by-step explanation:
Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)
[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]
Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)
[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]
Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)
[tex]100\\\\2.88 \times 100\\\\= 288[/tex]
Therefore, the book is 288 pages long.
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.
someone please help me!!!!!!
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
15) Suppose that Tony ordered 3 pizzas. Each pizza has 8 slices. Being shared with 5 people (3 pizzas - 8 slices in each
pie... total: 24 PIECES OF PIZZA)
Answer:
4.8 slices each
Step-by-step explanation:
8*3= 24
24/5= 4.8
Three quarters of the ducks in a pond are mallards.
What percentage of the ducks are mallards?
Answer:
75%
Step-by-step explanation:
Mallards = 3/4 of the ducks in the pond
What percentage of the ducks are mallards?
percentage of the ducks that are mallards = 3/4 × 100
= (3 * 100) / 4
= 300/4
= 75%
percentage of the ducks that are mallards = 75%
Please solve with explanation
What are the measures for angle b,c,and d
HELPPPPP !!!!!! WILL MARK BRAINLEST
Answer: A
Step-by-step explanation:
Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{\frac{2}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
The formula for the slope of two given lines given is 'rise over run'.⸻⸻⸻⸻
[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]
⸻⸻⸻⸻
We are given the points (3,5) and (8,7).⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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please answer pleaseee If two cards are chosen from a standard deck of cards one at a time and then placed back in the deck, the probability of choosing two 5s is
============================================================
Explanation:
For now, let's focus on the probability of getting one "5".
There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.
We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".
The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.
Side note: 1/169 = 0.0059 = 0.59% approximately
If A = 3x2 + 5x - 6 and B = 2x2 + 4x + 7, then A + B equals
Answer:
5x² + 9x + 1
Step-by-step explanation:
Given:
A = 3x² + 5x - 6
B = 2x² + 4x + 7
A + B:
3x² + 5x - 6 + 2x² + 4x + 7
(3x² + 2x²) + (5x + 4x) - 6 + 7
5x² + 9x + 1
need a answer for this please
PLSSS HELP ASAP DUE TMR MORNING
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Someone help me with this
Answer:
D
Step-by-step explanation:
there are 9 digits.
and round it off to the nearest hundred million which is 3.
There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸
3,0×10⁸ m.s^-1
You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble
Options:
8/27
2/5
8/25
4/12
pls answer quikly
Answer: 10/25 is the probability of choosing a blue marble.
Step-by-step explanation:
First, find out how many marbles there are in total. 3 + 10 + 8 + 4 = 25
Then, each number of marbles is how many out of 25. So, for example, red would be 3/25. Blue - 10/25. Green - 8/25. Yellow - 4/25
It asks you what the probability is, so, find the blue fraction that is out of 25, and thats the probability.
blue probability - 10/25green - 8/25yellow - 4/25red - 3/25Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
The book fair sold 60% of the books
donated to the book fair. They sold
72 books. How many books were
donated in all?
Answer:
120 Books
Step-by-step explanation:
60% of 120 is 72
Kinyua spent 1/4 of his net salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally has she. 8400 calculate his total salary
Answer:
Let his net salary = x.
He spent 1/4th of x on School fees
Remainder = 1-1/4 = 3x/4
He spent 1/4th THE REMAINDER on Electricity and Water Bils
1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16
He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand
New Remainder = 3x/4 - 3x/16
= 9x/16.
He spent 1/9th OF WHAT REMAINED ON TRANSPORT.
1/9 x 9x/16
=x/16
New Remainder
= 9x/16 - x/16
=x/2.
If he finally had 8,400
Then
x/2=8,400
x=2x8,400
x= 16,800.
This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!
fin the area of this trapezoid
Answer:
The answer would be 96
Step-by-step explanation:
Because 20/2=10x2=20
19x4=76
20+76=96
Which is a factor of x2 + 5x – 24?
(x - 6)
(x + 6)
(x - 8)
(x + 8)
Answer:
(x + 8)
Step-by-step explanation:
If you factor x2 + 5x – 24 using the AC method, it equals (x - 3) and (x + 8).
Answer:
D on edge :)
Step-by-step explanation:
pls help me with this :(
Answer:
18 cm^3
Step-by-step explanation:
To find the volume, count the number of cubes, since each cube has a side length of 1 cm
The volume of 1 cube is 1*1*1 = 1 cm^3
There are 6 rows of 3 cubes each or 18 cubes
18 cubes of 1 cm^3 = 18 cm^3
Answer: 18 cubic cm
Step-by-step explanation:
Answer 18 :D !!!
Which statements about the system are true? Select two options.
y=x-4
3y - x= -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Save and Exit
Next
Submit
Mark this and return
Answer:
system has 1 solution at (2.5, -1.5)
Step-by-step explanation:
y = x - 4 this equation has a slope of 1 and a y-intercept of -4
3y - x = -7 this equation has a slope of 1/3 and a y-intercept of -7/3
Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.
Answer:
The correct answer is - 3 hours.
Step-by-step explanation:
Given:
Price of parts: $200
Price of labor: $75/hour
Total cost: $425
Solution:
Let x = x of hours work done on the car
The inequality can be represented as:
425 = 75x + 200
Solving this inequality, we find that
225 =75x
or
x = 3
Thus, It means that the mechanic will take at least 3 hrs to work on his car.
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.