Answers
Related Questions
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
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Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
Read more about rate at:
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The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?
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Answer:
Step-by-step explanation:
P=200000
P x .15 =x (30000)
2x=y (60000)
P + y= (200000+60000) 260000
Answer:
The equation is :
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
Step-by-step explanation:
Let population in 2 years be A
Current population be P = 200,000
Rate of increase, r = 15% = 0.15
Time, t = 2years
Therefore,
[tex]A= P(1 + r)^t[/tex]
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
[tex]=264500[/tex]
Population after 2 years will be 264,500
What do x and y equal?
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No links pls. I also need an explanation.
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Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
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Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
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linear or nonlinear!?
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Answer:
nonlinear
Step-by-step explanation:
Express as decimal: Five hundred thirty four point two thousandths
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Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
A tube of toothpaste holds 75 ml.
How many tubes can be filled using 3 litres of toothpaste?
Pls help
Answers
Answer:
40 tubes
Step-by-step explanation:
1 liter = 1,000 milliliters
2 liters = 2,000 milliliters
3 liters = 3,000 milliliters
A tube of toothpaste = 75 ml
How many tubes can be filled using 3 litres of toothpaste?
Let
x = number of tubes
x tubes of toothpaste = 3000 ml
x = 3000 ml / 75 ml
x = 40
x = number of tubes = 40 tubes
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
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Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Pls help I don’t know how to do this
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The right answer is a i think i don't known step by step
Step-by-step explanation:
a
a
how many ounces is 13 lbs?
Answers
Answer:
208 oz
Step-by-step explanation:
So do 16x13=208
13 lbs=208 oz
brainliest pls?
Answer:
its 208 ounces
6;10;14
find the next two terms of the sequence
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Answer:
18
Step-by-step explanation:
Add 4
Answer: 18;22
Step-by-step explanation:
Let's start by finding the common difference.
10-6=4
14-10=4
The common difference is 4 meaning to get to the next numbers we must add 4.
6+4=10
10+4=14
14+4=18
18+4=22
need an answer asap will give the first answer brainliest
Answers
Answer:
The answer would be the first one.
m = -3n
Step-by-step explanation:
Answer:
m = -3n
Step-by-step explanation:
-6 = (-3)2 True
-12 = (-3)4 True
-18 = (-3)6 True
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
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Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
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Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
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For each of the following quadrilaterals, select all the properties that must be true.
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This is the answer to the qjestion
suma de letras y numeros
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20 POINTS PLEASE ANSWER!
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Answer:
area = 15 units ^2
Step-by-step explanation:
you look at width times height (just count the blocks vertical and horizontal)
width = 3 units
height = 5 units
area = 15 units ^2
(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5
Answers
Step-by-step explanation:
A circle equation is represented by
[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]
A circle have both terms to the 2nd. degree
The 1st equation, 2nd equation, 4th equation are circles.
A quadratic is represented by
[tex] {x}^{2} + bx + c[/tex]
A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.
The 3rd equation is a quadratic.
The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)
This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.
What is a quadratic function?f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
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. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answers
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
2x=84 what is the value of x
Answers
Answer:
42
Step-by-step explanation:
Since 2x is multiplication, you have to do the inverse (opposite) of that. The opposite of multiplication is division. You have to divide 2 with 84 to find x.
2x=84
---- ----
2 2
x=42
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answers
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons a per minute. What is the initial value of the linear
function that represents this situation?
• 15 gallons
• 30 gallons
• 45 gallons
• 60 gallons
Answers
Answer:15
Step-by-step explanation: i a siwishy fishey
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
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Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
Answers
======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
What is the product?
(4y − 3)(2y2 + 3y − 5)
Answers
=(4y+−3)(2y^2+3y+−5)
=(4y)(2y^2)+(4y)(3y)+(4y)(−5)+(−3)
(2y^2)+(−3)(3y)+(−3)(−5)
=8y^3+12y^2-20y-6y^2-9y+15
=8y^3+6y^2-29y+15
What is the area of the trapezoid below?
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Answer:
Step-by-step explanation:
Answer:
The answer is 34.5cm2. (don't blame meh if wrong)
Step-by-step explanation:
Step 1: Find the area of the square; 4.6 x 3.2 = 14.72
Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3
Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78
Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5
Is 3:5 and 5:7 equivalent
Ratios
Answers
Answer:
no its not equal
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answers
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
