The domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1What is domain?The domain of a function is the set of input values the function can take. This means that the domain is the x values of a function
Using the above definition of domain, the domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1Read more about domains at:
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The rectangle below has a length of 7 centimeters and a width of 3 centimeters. Three centimeters are subtracted from the length, and c centimeters are added to the width. The area of the new rectangle is 32 square centimeters. What is the value of c?
A. 1 centimeters
B. 3 centimeter
C. 5 centimeters
D. 10 centimeters
Answer:
C
Step-by-step explanation:
7 - 3 = 4 = Length
3 + c = ? = w
A = 32
32 ÷ 4 = 8 = w
8 - 3 = 5 = number added to width
5 = c
Word explanation:
To find the number added, you have to figure out the length so that you could divide it by area to figure out the width.
So, to do that, you follow what the question said, "Three centimeters are subtracted from the length." = 7 - 3 = l = 4
Then, you move on to figure out the width, so you divide the area by the length = 32 ÷ 4 = 8 = width.
Now that you know the width, you continue to follow what the question said, "C centimeters are added to width."
= 3 (previous width) + c = 8 (new width)
After that, you subtract 8 - 3 to find the amount added to the width and that gives you 5, which is C.
The value of the variable c is 5 centimeters.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
To determine the number added, we have to figure out the length so that we could divide it by area to figure out the width.
"Three centimeters are subtracted from the length means;
= 7 - 3 = l = 4
Then, move on to figure out the width, so we divide the area by the length
= 32 ÷ 4
= 8 width.
Now that we know the width, continue to follow what the question said, "C centimeters are added to width."
= 3 (previous width) + c = 8 (new width)
After that, subtract 8 - 3 to find the amount added to the width and that gives 5, which is C.
Learn more about the area;
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A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Answer:
[tex]t = 0.375s[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1
[tex]Rate = 2ft/s[/tex] -- driver 2
[tex]height = 33ft[/tex]
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]
So, the function is:
[tex]h_2(t) = Height - Rate * t[/tex]
[tex]h_2(t) = 33 - 2t[/tex]
The time they drive pass each other is calculated as:
[tex]h(t) = h_2(t)[/tex]
[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]
Collect like terms
[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]
[tex]-16t^2 + 6t= 0[/tex]
Divide through by 2t
[tex]-8t + 3= 0[/tex]
Solve for -8t
[tex]-8t = -3[/tex]
Solve for t
[tex]t = \frac{-3}{-8}[/tex]
[tex]t = 0.375s[/tex]
In a cave, a stalactite gets 4 millimeters longer each year. This year it is
72 centimeters
How many years until it is 1 meter long *25 points*
The number of years it will take until the stalactite is 1 meter long is; 70 years
How to convert units of measurements?
From conversion units, we know that;
1 m = 100 cm
1 cm = 100 m
Current length is given as 72 cm
Thus;
Length after x years = 1 m = 100 cm
Length increase in x years = 100 -72 = 28 cm
Since 1 cm = 10 mm
Then;
Length increase in x years in mm = 28 * 10 = 280 mm
Thus;
Length increase in 1 year = 4 mm
Length increase in x years = 4x mm
Then; 4x = 280
x = 70
Thus, it will take 70 years until it is 1 meter long.
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hello please help i’ll give brainliest
Answer:
1
Step-by-step explanation:
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet. Suppose wood flooring costs $8 for each square foot. How much will the wood flooring cost for the floor?
Answer:
$ 10,000
Step-by-step explanation:
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet.
The gym floor is shaped like a rectangle
Area of a rectangle = Length × Width
= 50 feet × 25 feet
= 1250 ft²
Suppose wood flooring costs $8 for each square foot.
The wood flooring cost for the floor is calculated as
1 ft² = $8
1250ft² = x
Cross Multiply
1250 ft² × $8
$ 10,000
The wood flooring cost for the floor is $10,000
Please help ASAP first answer was 8
solve the inequality 2x+10<5x+1
Answer:
x>3
Step-by-step explanation:
you would subtract 5x from 2x and get -3x+10 < 1
then subtract 10 from 1 and get -9 so
-3x<-9 then divide and flip sign x>3 hope this helps
Answer:
x>3
Step-by-step explanation:
1.subtract both sides
2x+10 -5 < 5x+1 -5
-3x+10<1
2.subtract 10 from both sides
-3x+10 -10 < 1 -10
-3x<-9
3.divide both sides with number including x
-3x < -9
-3 -3
= x > 3
---l----l-----l----O---l-----l-----l-->
0 1 2 3 4 5 6
11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?
HELP ME PLZ I NEED HELP
Need help with this question
In picture above
Answer:
Solution given:
Cos -θ:[tex]\frac{\sqrt{3}}{4}[/tex]
since cos -θ=Cos θ
Cos θ :[tex] \frac{\sqrt{3}}{4} [/tex]
[tex]\frac{\sqrt{b}}{h} [/tex]=:[tex] \frac{\sqrt{3}}{4} [/tex]
b=[tex]\sqrt{3} [/tex]
h=4
p=[tex] \sqrt{4²-(\sqrt{3})²} [/tex]=[tex] \sqrt{13}[/tex]
So
Sin θ=[tex]\frac{p}{h} [/tex]=[tex]\frac{\sqrt{13}}{4} [/tex]
So third one is a required answer.
I’ll give brainliest if u answer with 30 mins
Answer:
30 mins
Step-by-step explanation:
Help me I will brainliest and like fast
Answer:
5
Step-by-step explanation:
find the surface area of the following rectangular prism
length- 12 in
height- 8 in
width- 4 in
The quadratic function d = –2x^2 + 15 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill. After how many seconds is the skateboarder 8 ft from the bottom of the hill?
Answer:
After 1.87 seconds the skateboarder is 8 ft from the bottom of the hill.
Step-by-step explanation:
The quadratic function d = –2*x² + 15 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill.
You want to know after how many seconds the skater is 8 feet from the bottom of the hill. That is, with the distance being 8 feet, you want to calculate the time t. Replacing in the expression d by the value of 8 feet:
8=–2*x² + 15
Solving:
8-15 = -2*x²
-7= -2*x²
(-7)÷(-2)= x²
3.5= x²
√3.5=x
1.87= x
After 1.87 seconds the skateboarder is 8 ft from the bottom of the hill.
Multiplying by a positive number will give a positive product. TrueFalse
Answer:
true
Step-by-step explanation:
solve for the value of n
Answer:
N = 27
Step-by-step explanation:
The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .
90 - ( 6 + 3 ) = 81
81 / 3 = 27
ALSO GIVE ME BRAINLIEST PLEASE :)
Answer:
i think 27??
Step-by-step explanation:
n+6 +90+2!+3=180
Find the value of z.
A. 55
B. 90
C. 238
D. 122
Answer:
Not sure
Step-by-step explanation:
Still not sure
A sphere has radius 8 ft. If the radius is doubled, what is the effect on the volume?
The volume is multiplied by 6.
The volume is multiplied by 4.
The volume is multiplied by 8.
The volume is doubled.
Answer:
If the radius of the sphere is doubled, the volume would be multiplied by 4. Think of the sphere as a cube instead and if you were to double the sides, the area would be 4 times bigger. Hope this helps! :)
HII CAN YOU HELP PLEASE??
Answer:
Step-by-step explanation:
1. x = 105
2.x = 35
Joseph concludes that the difference between the longest and shortest lengths is 2 1 2 feet. Marta disagrees and says that the difference is only 1 foot. Who is correct? Use the drop-down menus to show and explain your answer. Is correct because you the greatest and least lengths represented by the , not the number of at the greatest and least lengths.
The drop downs cannot be viewed.
Answer:
Joseph is correct
Step-by-step explanation:
To obtain the difference between the longest and shortest length of the rope ; all we need to do is find the range of the dot plot ; The value for the range is obtained thus ;
Range = Highest - Least value
Highest value or maximum = 12 feets
Minimum or least = 9 1/2 feets
The Range = difference between the longest and shortest length is : (12 - 9 1/2) feets = 2 1/2 feets
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?
Answer:
88
Step-by-step explanation:
43 + 49= 92.
Then 180 - 92= 88
C= 88
Write 1012100 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.
Answer:
Step-by-step explanation:
Move the period 5 spaces to the left, and then write 1012100 as 1.0121*10^5.
Find the Surface Area of the figure below with the following values
Answer: Area = 189
Step-by-step explanation:
How i got the answer was i just simply multiplied the numbers that they had provided for you up on the top. So you would do (21 x 9 = 189). Then you would be left off with your answer 189, which is your surface area for the figure stated in the photo.
~Have a gr8 day/night my friend!~
BRAINIEST TO WHOEVER RIGHT
Could you get a closer picture?
Find the measure of arc FGH given measure of angle FGH = 21x – 2 degrees and messure of angle FAH = 38x + 5 degrees.
Answer:
there is actually a secret degree in science
Step-by-step explanation:
it's called
ur mom
Question: help me on this problem :
Which two angles measures can u add to find the Measure of angle FMH? Pls
Pls help
Help me plz and show work <3
60 yd
63 yd
What is the length of the hypotenuse?
(I’ll give brainliset) Your friend makes a two dimensional model of a dividing cell as shown. The total area of the dividing cell is 350 square inches. What is the area of the shaded region to the nearest whole inch?
nearest whole inch?
Answer:
149.04 in^2
Step-by-step explanation:
The image of the question can be seen below.
In the image, we can see two circles that intersect at a given point.
We know that the total area of the image is 350 in^2
We want to find the area of the shaded part.
Ok, this seems to be hard, so instead, let's find the area of the two non-shaded parts (two semicircles) and just subtract that area from the total area of 350in^2
The two non-shaded parts are half a circle of diameter 16 inches.
We know that for a circle of diameter D, the area is:
A = pi*(D/2)^2
Where pi = 3.14
And because we want to find the area of two semicircles of diameter 16 inches, is exactly the same as finding the area for a single circle of diameter 16 inches.
This is:
A = 3.14*(16in/2)^2 = 3.14*(8in)^2 = 200.96 in^2
Now we can just subtract this from the total area:
shaded area = total area - A
shaded area = 350 in^2 - 200.96 in^2
shaded area = 149.04 in^2
One of the students was removed from the survey and replaced with a different student’s data.
Answer:
immma send you the link friend me on here Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Answer:
answer is C the means and the standard deviation because the data sets are normally disturbed
Answer: d
Step-by-step explanation: