Answer:
43.2 oz
Step-by-step explanation:
4.8/x=10/100
simplify:
4.8/x=1/10
cross multiply:
x=48
there is 48 oz juice in total
to find the rest:
48-4.8=43.2
43.2 oz is something other than fruit juice.
Find the constant of proportionality.
Please don't answer if you don't know it. (it doesn't help whatsoever)
HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
X g(x)
0 $600
3 $720
6 $840
Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?
Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.
Answer:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Step-by-step explanation:
The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:
P = 6x² - 3x - 2
Q = 3x² + 2x - 6
Let R = P - Q
Thus:
(6x² - 3x - 2) - (3x² + 2x - 6)
Open parentheses by distributing the factor of -1
6x² - 3x - 2 - 3x² - 2x + 6
Add like terms together
6x² - 3x² - 3x - 2x - 2 + 6
R = 3x² - 5x + 4
The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.
Also, let us assume the following:
P = 4x² + 4x - 3
Q = 4x² + x - 8
Let R = P - Q
R = (4x² + 4x - 3) - (4x² + x - 8)
R = 4x² + 4x - 3 - 4x² - x + 8
Collect like terms
R = 4x² - 4x² + 4x - x - 3 + 8
R = 4x + 5 (4x² cancels 4x²)
The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.
Also, let us assume the following:
P = x² + 2x - 3
Q = x² + 2x - 8
Let R = P - Q
R = (x² + 2x - 3) - (x² + 2x - 8)
R = x² + 2x - 3 - x² - 2x + 8
Collect like terms
R = x² - x² + 2x - 2x - 3 + 8
R = 5 (x² cancels x², and 2x cancels 2x)
The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.
Therefore we can conclude that:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature? One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature?
Answer:
-8 degrees
Step-by-step explanation
Half of negative 16 would be negative 8.
Answer:
-8
Step-by-step explanation:
-16 ÷ 2 = -8
You could also do:
16 ÷ 2 = 8
and then put a negative in front of 8
And to prove it's true,
8 x 2 = 16
-8 x 2 = -16
2
Name the intersection of plane P and plane ABD.
C
P
B.
.
D
E
BD
Point D
AD
Point B and Point D
Answer:
D
Step-by-step explanation:
┈┈▕┈┈┈╱╲▕▀┈┈┈
┈┈┈╱╲┈┈▏▕╱╲┈┈┈
┈┈┈▏▕╱╲▏▎▏▕╱╲┈▃
┈╱╲▏▎▅▂▅▂▏▎▏▎▏▏
▂▏▎▏▕╭┳┳╮▏┊▏▕╱╲
▏▏┊▏▎┃┊┊┃▏▎▏▎▏▕
▇▆▅▃▂┻┻┻┻▂▃▅▆▇▉.
Bev scored 540 points. This was 158 points more than Ike scored. How many points did Ike score?
Answer:
382
Step-by-step explanation:
540 - 158
8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1
Answer:
I think that's wrong
Step-by-step explanation:
1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome
Find the perimeter of the rectangle.
5 in.
9 in.
Answer:
28 inches
Step-by-step explanation:
What does each space between two numbers represent
Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.
Week Mass (grams)
(start) 80
1
2
3
4
Answer:
Week 1 = 80
Week 2 =88
Week 3 = 96.8
Week 4 = 106.48
Week 5 = 117.128
Step-by-step explanation:
Given
Week 1 = 80
Growth = 10%
Required
Fill week 1 to 5
We have week 1 already.
Week 2 is calculated as thus:
Week 2 = Week 1 + 10% * Week 1
Week 2 = 80 + 10% * 80
Week 2 = 80 + 8
Week 2 = 88
Week 3 is calculated as thus:
Week 3 = Week 2 + 10% *Week 2
Week 3 = 88 + 10% * 88
Week 3 = 88 + 8.8
Week 3 = 96.8
Week 4 is calculated as thus:
Week 4 = Week 3 + 10% * Week 3
Week 4 = 96.8 * 10% *96.8
Week 4 = 96.8 + 9.68
Week 4 = 106.48
Lastly, week 5 is calculated as thus:
Week 5 = Week 4 + 10% * Week 4
Week 5 = 106.48 + 10% * 106.48
Week 5 = 106.48 + 10.648
Week 5 = 117.128
Annie bakes cookies and cupcakes in a ratio of 4 to 3 for her gift boxes. Her school needs 35 desserts to sell in a bake sale.
How many cupcakes will she bake? How many cookies will she bake?
Answer:
20 cookies and 15 cupcakes (20:15)
Explanation:
First you need to multiply 4 by 5 which equals 20. Then 3 by 5 which equals 15. Then you need to add them together to get 35!
Ratio Table!
4 | 3 x4
16 | 12 + 4:3
20 | 15 = 35!
I Hope This Helps!
1. f(x) = 3x – 2; f(4)??
Answer:
the answer is 5
Step-by-step explanation:
f(4) = 3(4) -2
7 - 2 = 5
NEED HELP FAST I WILL MARK BRAINLYEST
Answer:
13/48
Step-by-step explanation:
13/6 / 8 = 13/6 x 1/8
13 x 1 = 13
6 x 8 = 48
13/48
Answer:
13/48
Step-by-step explanation
Graph y=3/4+4 Please! I need help!
Will make you brainpower first person who answers correctly in major need of help!
Answer:4 and 35
Step-by-step explanation:
Am from the future
The extremes are 4 and 35.
What is extremes?The extremes are the values of the proportion that are furthest apart when written in ratio form using a colon. For example: In the proportion a : b = c : d, ‘a’ and ‘d’ are the extremes.
In general, four numbers are said to be in proportion, if the ratio of the first two quantities is equal to the ratio of the last two. In general, the symbol for representing a proportion is “: :”
(i) The numbers a, b, c and d are in proportional if the ratio of the first two quantities is equal to the ratio of the last two quantities, i.e., a : b : : c : d and is read as ‘a is to b is as c is to d’. The symbol ‘ : : ‘ stands for ‘is as’.
(ii) Each quantity in a proportion is called its term or its proportional.
(iii) In a proportion; the first and the last terms are called the extremes; whereas the second and the third terms are called the means.
If four numbers a, b, c and d are in proportional (i.e., a : b : : c : d), then a and d are known as extreme terms and b and c are called middle terms.
(v) The fourth term of a proportion is called fourth proportional.
Given:
4/7 = 20/35
Now, by the definition of extremes
the first and the last term is extremes
So, 4 and 35 are the extremes.
Learn more about proportion here:
https://brainly.com/question/26974513
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if a plane travels 1,200 miles in 2 hours how many mph is the plane going
Answer:
600
Step-by-step explanation:
Sense 2 hours has passed you divide the amount of distance the plane has traveled by the amount of time it took. :)
Answer:
600 mph
Step-by-step explanation:
its the speed of the plane
the solution is distance travel which is 1,200 miles divided by the time 2 hours will be equal to 600 miles per hour (mph).
-5(k + 4) > 2 - (3k + 6)
4x+y+6z=7
3x+3y+2z=17
-x-y+z=19
Answer:
the 2nd one
Step-by-step explanation:
What's the answer please
Answer:
A. (3V/B) = h
Step-by-step explanation:
V = (1/3)Bh
3V = Bh
(3V/B) = h
Which factor can cause secondary succession?
A. clear cutting
B. glacial melting
C. competition
D. predation
(Which one from these answers?)
Answer:
a
Step-by-step explanation:
- What is the area of the square?
(A) 16
(B) 25
(C) 32
(D) 36
(E) 41
Answer:
I counted 32 squares in and out
Answer:
A=a^2, so A=4^2=16 , or 4*4=16
Step-by-step explanation:
All sides of a square are equal, so the length of the sides are all 4. Put 4 in for a in the formula A=a^2 or Area = side length squared.
A = 4^2
A = 4 * 4
A = 16
Help please:)))
Find the equation of a line perpendicular to 4x - y = 2 that contains the point (4, -2). Write the equation in slope.
intercept form.
Answer:
y = -1/4x - 1
Step-by-step explanation:
First, put the equation in slope intercept form:
4x - y = 2
4x - 2 - y = 0
4x - 2 = y
y = 4x - 2
Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4
Plug in the given point and the slope into y = mx + b, then solve for b:
y = mx + b
-2 = -1/4(4) + b
-2 = -1 + b
-1 = b
Plug in the slope and b into the equation:
y = -1/4x - 1 is the equation
You have a box with dimensions 2 ft. x 4 ft. x 3 ft. a. If you want to wrap the box, what is the minimum amount of wrapping paper you need? b. If the paper cost $2.59 per square foot, what is the minimum cost?
Answer: A) 52 ft B) $134.68
Step-by-step explanation:
First find the surface area by multiplying the dimensions together.
2 x 4 = 8
2 x 3 = 6
4 x 3 = 12
Then add them up and multiply by two because there are two of each side.
26 x 2 = 52
To find the cost, multiply 52 by $2.59 to get the price.
52 x $2.59 = $34.68
Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
What is the square root of -1?
-i
i
-1
1
Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
Learn more about complex numbers here:
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iTunes charges a one time fee of $10 and $ 1 per song . Spotify charges a one time fee of $20 and $0.50 per song. After how many songs will the Spotify membership pay off and in the long run cost you less ?
Answer:
7
Step-by-step explanation:
What is the correct answer?
Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
What is the mixed number fraction for 4 5/8
Answer:
37/8
Step-by-step explanation:
Answer:
37/8
Step-by-step explanation:
gh
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).