Answer:
.04
because 4% of 100 is 4
A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was turned on for 3 hours. The amount of water in the bucket can be modeled by the function f(x) = |x| over the interval [−6, 3], where x is the time, in hours, and y is the amount of water in the bucket, in gallons. Which translation of the graph represents the last 3 hours of the leak, and the tap running for 6 hours? Group of answer choices g(x) = |x − 3| g(x) = |x| + 3 g(x) = |x| − 3 g(x) = |x + 3|
Answer:
The answer is g(x) = |x - 3|
Step-by-step explanation:
Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|
We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.
Then in the interval [-6, 0) the bucket was leaking
In the interval [0, 3] the bucket was being filled.
Now we want a transformation that represents the last 3 hours of leaking.
Also, remember that for a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left
If N is negative, the translation is to the right.
If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.
So, if we define the function as:
g(x) = f(x - 3)
when we evaluate g(x) in zero we get:
g(0) = f(-3)
So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.
Remembering that f(x) = |x|
We can see that the correct option is:
g(x) = f(x - 3) = |x - 3|
g(x) = |x - 3|
Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).
If you want to learn more, you can read:
https://brainly.com/question/13435754
Which of the following is a quantitative variable?
Temperatures in New York from January to March
Price of gas at three different gas stations
Population density of a town
Symbols of elements on the periodic table
Answers: A, B, C
These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.
In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).
2
3) In which quadrant of the coordinate plane will the ordered pair (-8, 7)
be found? *
Answer:
2 cuadrante
Step-by-step explanation:
What is the distance rounded to the nearest tenth, between the points (0, 5) and (8, 0)?
Answer:
9.4
Step-by-step explanation:
The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)
d=√((8-0)²+(0-5)²)
d=√((8²)+(-5²))
d=√(64+25)
d=√(89)
d=9.433981
d=9.4
Hope this helps :-)
Answer: 9.4 units
Step-by-step explanation:
Mike ans his three friends decided to divide the lunch bill evenly.They are trying to figure out how much each person owes if the total bill was $52. Which equation models the scenario? a)52/4=x b)52/3=x c)52x=4 d)52x=3
Answer:
b
Step-by-step explanation:
x is the number each person will get
b is the only possible answer
can you please tell me the right ans
Answer: i) 512,000 cm³ ii) 512,000 cc iii) 512 litres
Step-by-step explanation:
Volume (V) of a cube is side (s) cubed: V = s³
Given: s = 80 cm
i) V = (80 cm)³
= 512,000 cm³
ii) 512,000 cm³ = 512,000 cc
iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters
It was 12°C one person got home from school. The weather for port show me a story moving in the world drop the temperature by 70 Celsius. What is the expected temperature?
Answer:
Expected temperature = - 58°C
Step-by-step explanation:
Given:
Current temperature = 12°C
Drop in temperature = 70°C
Find:
Expected temperature
Computation:
Expected temperature = Current temperature - Drop in temperature
Expected temperature = 12°C - 70°C
Expected temperature = - 58°C
CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM
Step-by-step explanation:
Hey there!
Simply work with it.
As it is a Right angled triangle, taking angle 40° as a reference angle. Then,
Length of board = hypotenuse = 15 feet.
To find: height of ladder = perpendicular.
Now,
Taking sin ratio,
[tex] \sin = \frac{p}{h} [/tex]
[tex]sin \: 40 = \frac{p}{15} [/tex]
or, as in per the given sin value is 0.6428
so,
[tex]0.6428 = \frac{p}{15} [/tex]
or, 15 × 0.6428 = p
or, p = height of ladder = 9.642.
Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.
Hope it helps...
Please help me with this answer
Answer:
0.703
Step-by-step explanation:
19/70 = 70.37/100
Hope This Helps :)
Answer:
0.7037
Step-by-step explanation:
0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.
The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which functions are reciprocal functions to each other
Answer:
sine and cosec are inverse of each other.
cosine and sec are inverse of each other.
tan and cot are inverse of each other.
Step-by-step explanation:
Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).
Kindly refer to the attached image for the diagram of the given point.
Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])
Let O be the origin i.e. (0,0)
Point B will be ([tex]\frac{1}{3},0[/tex])
Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:
Sides:
[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]
Using Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]
[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]
[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]
[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]
[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]
[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]
[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]
[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]
[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]
[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]
[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]
The product of 2 and a number x is 3/4. What is the value of x? x=5/4 x=3/8 x=1 1/4 x=3/2
Answer:
x=3/8
Step-by-step explanation:
2*x=3/4
x=3/4*2
x=3/8
Answer:
9
Step-by-step explanation:
1) 9 + 2h - 16
-7 + 2h
9 tickets cost $54. How much do 4 tickets cost?
Let's make a proportion to solve this problem.
[tex]\frac{9}{54}=\frac{4}{x}[/tex]
[tex]9x=216[/tex]
[tex]x=24[/tex]
4 tickets cost $24
Hope this helps.
頑張って!
Find the slope of the line through each pair of points. (-17,-5), (15.-13)
Choose the answer that makes the sentence true. rational numbers are real numbers. ALL SOME NO
PLEASE HELP
Answer: All rational numbers are real numbers
Real numbers are those which can be represented on a real number line
A rational number is a number that can be written in the form of p/q where q is not equal to zero.
All rational numbers will be real numbers.
Option A is the correct answer.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
Example:
2 = 2/1 is a rational number.
1/2, 3/4, 5/6 are rational numbers.
We have,
________ rational numbers are real numbers.
We have to select from the options and fill in the blanks.
- ALL
- SOME
- NO
Real numbers can be any type of number except an imaginary number denoted by i = √-1.
So,
All rational numbers will be real numbers.
Thus,
All rational numbers will be real numbers.
Option A is the correct answer.
Learn more about rational numbers here:
https://brainly.com/question/24398433
#SPJ2
I need help with solving this equation! ( answer is supposed to be 3.888 but I have been getting a different answer every time!) 3.24 x 1.2
Answer:
I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888
Answer:
Step-by-step explanation:
If you can't use a calculator break it apart.
1 X 3.24 is 3.24
Now take .2 x 3.24 this is easy, just remember to move the decimal in the answer one more to the left.
3.24
x .2
.684 moved the decimal one more spot
Now we take 3.24 + .684
3.24
+ .648
3.888
What is the pattern as the exponents decrease
Answer:
Divide the previous value by 5
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .
===========================================================
Explanation:
Let's assume that x is the largest value of the list. If so then x = 60 because
range = max - min
range = x - 1
range = 60-1
range = 59
Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.
So x = 60 is one possible value. We can't have x any larger or the range would be larger.
But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value
Here's why
range = max - min
range = 50 - x
range = 50 - (-9)
range = 50+9
range = 59
What equation matches this situation?
—John wants to buy an MP3 Player that costs $30. How much change did he receive
if he gives the cashier $40–
A recipe that makes a dozen cookies calls for 1 1/2 cups of milk, 2.25 cups of flour, and 1 1/4 cups of other ingredients. How many cups of other ingredients, milk and flour are needed to make 36 cookies? (1 dozen is 12 cookies)
Answer:
15 cupsStep-by-step explanation:
[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]
solve this question please: x² = -169
Answer:
13i, -13i
Step-by-step explanation:
To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions
2(c + 3) = c - 13
Solve
Answer:
-19
Step-by-step explanation:
2 (c + 3) = c - 13
2c + 6 = c - 13
2c + 19 = c
19 = - c
c = - 19
6y-10y-11=8y-2y+29 step by step?
Step-by-step explanation:
6y - 10y - 11 = 8y - 2y + 29
6y - 10y +16y - 11 = 8y - 2y + 29 + 16y
-11 = 22y + 29
11 = 22y + 40
-29 = 22y
Not sure yet I think I made a mistake hold up
If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(-1)?
Answer:
f(-1) = 1
Step-by-step explanation
[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]
Are terms and ratios related?
Given the equation ay − b = c, which expression represents y? a.) c-b/a b.) c+b/y c.) c+b/a d.) c+a/b
Answer:
Option C. y = ( c + b ) / a
Step-by-step explanation:
For this problem, we must simply isolate the y variable from the unknowns a, b, and c.
ay - b = c
ay - b + b = c + b
ay = c + b
ay * ( 1 / a ) = ( c + b ) * ( 1 / a)
y = ( c + b ) * ( 1 / a )
y = ( c + b ) / a
Thus, we will want to choose option C.
Cheers.
You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)
Answer:
[tex]Area = 112.5[/tex]
Step-by-step explanation:
Given
[tex]X = (15,20)[/tex]
[tex]Y = (15,5)[/tex]
[tex]Z = (0,5)[/tex]
Required
Determine the area of the triangle
The area is calculated using the following formula:
[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]
Where
[tex](X_x,X_y) = (15,20)[/tex]
[tex](Y_x,Y_y) = (15,5)[/tex]
[tex](Z_x,Z_y)= (0,5)[/tex]
Substitute right values in the given formula:
[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]
[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]
[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]
[tex]Area = |\frac{225}{2}|[/tex]
[tex]Area = |112.5|[/tex]
[tex]Area = 112.5[/tex]
Hence, the area of the triangle is 112.5
Given the equation, 5x + 10y = 20, what are your x and y-intercepts? Explain your thought process and steps in your reply.
Answers:
x intercept = 4
y intercept = 2
============================================
Explanation:
To find the x intercept, plug in y = 0 and solve for x
5x+10y = 20
5x+10(0) = 20
5x = 20
x = 20/5
x = 4
The x intercept is x = 4, which means it is located at the point (4,0)
-----------------------
We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.
5x+10y = 20
5(0)+10y = 20
10y = 20
y = 20/10
y = 2
The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.
Forty-two people charter a bus for $788. Estimate the amount each person pays.
Your answer
Answer:
$20
Step-by-step explanation:
If 42 people equally share the bus price off 788 dollars then ech person would be expected to pay 788/42 = $18.76 (2dp) though I suppose if you needed to estimate it, you would round 788 to 800 and 42 down to 40 which would give you 800/40 = 20 dollars per person which is a pretty close estimate.
Hope this helped!
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The answer is either a or c .
Step-by-step explanation:
Answer:
c yw
Step-by-step explanation: