We want to find the unit rate of the bottles of water given that we know that the cost of 12 bottles is $10.32, we will find that the unit rate is:
r = 1.16 (bottles/$)
The unit rate is defined as the rate of change per unit, in this particular case, the unit rate would be the cost of every single bottle of water.
Here, we do know that for $10.32, you get 12 bottles.
The unit rate is just given by the quotient between these two values:
(12 bottles)/($10.32) = 1.16 (bottles/$)
Meaning that the cost of every single bottle is $1.16
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Complete the truth table.
р
q
-
pЛ-4
P+
-(p+q)
F F
T
T
F
F
T
T T
F
T
T
חד
F
T
F
T
F
T
F
T
וד
F
וד
F
T
רד
F
F
F
The values of (a ∧ ~b) ∧ c are as shown in the table.
What is a Truth Table?Mathematical logical procedures are carried through using truth tables. Boolean algebra or boolean functions are made up of these operations. Basically, it is utilized to determine whether the propositional phrase is true in light of the supplied data. Based on boolean algebra, this.
As per the given data:
We are given the values of p and q for the different events as shown in the table.
For finding (a ∧ ~b) ∧ c:
We have to find the value of (a ∧ ~b) and then the intersection of these values with c.
~b: this is TRUE when b is FALSE, and is FALSE when b is TRUE:
The letter "∧" stands for "AND" right now. Hence, the following phrase can only be true if all three of its elements are true:
Hence, the values of (a ∧ ~b) ∧ c are as shown in the table.
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(The given question is incomplete, the complete question is given below)
Drag and drop the fractions to order them from least to greatest.
-4/5
-3/7
2/3
1/4
Answer:
-4/5, -3/7, 1/4, 2/3
Step-by-step explanation:
We already know that the negative fractions are less then the positive ones. So we can start with the negative fractions: We want to make them have the same denominator. For that we just multiply the current denominators:
5 × 7 = 35.
Then we multiply the numerator by the other fractions denominator for the fraction to remain still the same:
4 × 7 = 28
5 × 3 = 15
Now the fractions are:
-28/35 and -15/35. Because they are negative the ones with bigger numerators are less.
Then we do the same with the positive fractions:
3 × 4 = 12
1 × 3 = 3
2 × 4 = 8
8/12 and 3/12.
‘Then we can order them:
-28/35, -15/35, 3/12, 8/12
-4/5 , -3/7 , 1/4 , 2/3
Help me for 100 points yessir thanks you middle one
[tex]\\ \sf\longmapsto 5(100)+8(10)+9(1)+2(1/10)+3(1/1000)[/tex]
[tex]\\ \sf\longmapsto 500+80+9+2/10+3/1000[/tex]
[tex]\\ \sf\longmapsto 589+0.2+0.003[/tex]
[tex]\\ \sf\longmapsto 589.203[/tex]
Juan is 3 years younger than half his aunts age. If Juan is 27 years old, how old is his aunt?
Two numbers add to 140. If you double the smaller number and halve the larger number, then the two resulting numbers are equal. Those two equal numbers add to _____.
Answer:112
Step-by-step explanation:
Two lines are perpendicular if they lie on the same plane and cross at_____ angles. (FILL IN THE BLANK)
Answer:
90 degree
Step-by-step explanation:
Answer:
right angles is the answer
a teacher randomly selects one student from a group of students where 12 are wearing a black shirt 8 are wearing a red shirt and 12 are wearing a blue shirt what is the probability that the selected student is wearing a blue shirt
Answer:
12/32 or 3/8 or 37.5%
Step-by-step explanation:
Geometry B: fill in the blank
Answer:
Square
9
9 in both boxes
2
[tex]\sqrt{11}[/tex]
Step-by-step explanation:
Answer:
Here's how I'd do it.
Step-by-step explanation:
pls pls pls pls pls math ito need ko na talaga
A. 1) 27.5 > 27.492 (5 > 4)
2) 8.10 = 8.1 (0s after the decimal point have no value)
3) 2.098 < 2.904 (0 < 9)
B. 1) 4.0 < 4.001 < 4.011 < 4.101
2) 0.0089 < 0.012 < 0.0189 < 0.09
3) 3.021 < 3.12 < 3.121 < 3.21
C. 1) 0.1 < 0.99
2) 4.07 > 4.017
3) 10.07 > 10.067
4) 1.0 < 1.01
______
Comment if you've doubts!
RainbowSalt2222 ☔
Solve S = 2πr2 + 2πrh for h
Answer:
h=2πr
Step-by-step explanation:
h=s-2πr^2;h=s-r^2;h=s-r:2πr
Fifty people were asked whether they were left handed. Six people answered "yes."
What is the relative frequency of left-handed people in this group? Answer choices are rounded to the hundredths place.
0.12
1.14
8.33
0.88
Answer:
0.12
Step-by-step explanation:
6 times 2 = 12
12/100 = 0.12
The solution is Option A
The relative frequency of the left handed people in the group is given by the equation A = 0.12
What is relative frequency?
A relative frequency is the ratio (fraction or proportion) of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes.
The relative frequency formula is given as:
Relative Frequency = Subgroup frequency / Total frequency
Given data ,
Let the relative frequency of the left handed people be A
Now , the equation will be
The total number of people = 50 people
The number of people in the group who were left handed = 6 people
So ,
The relative frequency of the people who were left handed A = number of people in the group who were left handed / total number of people
Substituting the values in the equation , we get
Relative frequency of the left handed people A = 6 / 50
Relative frequency of the left handed people A = 0.12
Therefore , the value of A is 0.12
Hence , the relative frequency is 0.12
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5/8x -3/5=???????????????????????????????????????
Answer:
the answer to 5/8 x - 3/5 is -3/8
I need some help with this problem.
Jennifer is a college student who works two jobs after school and on weekends trying to make extra spending money and to help pay her tuition. At Job A, she gets $8 an hour, and at Job B, she gets 10 an hour.
1. If Jennifer only works at Job A, write an equation for her total income l for working a hours.
2. How much will she make if works 20 hours in the week? Justify your answer.
Answer:
2. $360
Step-by-step explanation:
8x20=$160
10x20=$200
160+200=$360
Sorry for not answering part 1. but hope this helpsss
help me please in zearn please.
Answer:
Radius = 11.9cm
Circumference: 74.73cm
What is c0, c1 and ck?
By the ratio test, the first series converges if
[tex]\displaystyle \lim_{k\to\infty} \left|\frac{\frac{x^{k+1}}{k+10}}{\frac{x^k}{k+9}}\right| = |x| \lim_{k\to\infty} \frac{k+9}{k+10} = |x| < 1[/tex]
while the second series converges if
[tex]\displaystyle \lim_{k\to\infty} \left|\frac{(k+1)(k+5)x^{k+1}}{k(k+4)x^k}\right| = |x| \lim_{k\to\infty} \frac{k^2+6k+5}{k^2+4k} = |x| < 1[/tex]
So as long as |x| < 1, we have
[tex]\displaystyle h(x) = -(x+4) f(x) + 7x^2 g(x)[/tex]
Distribute f(x) :
[tex]\displaystyle h(x) = -x f(x) - 4 f(x) + 7x^2 g(x)[/tex]
Substitute f and g with their series representations:
[tex]\displaystyle h(x) = -x \sum_{k=0}^\infty \frac{x^k}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7x^2 \sum_{k=0}^\infty k(k+4)x^k[/tex]
Simplify the powers of x :
[tex]\displaystyle h(x) = -\sum_{k=0}^\infty \frac{x^{k+1}}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=0}^\infty k(k+4)x^{k+2}[/tex]
Shift the index in each sum as needed so that each one is written in terms of [tex]x^k[/tex] :
[tex]\displaystyle h(x) = -\sum_{k=1}^\infty \frac{x^k}{k+8} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k[/tex]
Pull out as many terms as needed from each sum so that they each start with the same index:
[tex]\displaystyle h(x) = -\left(\frac x9 + \sum_{k=2}^\infty \frac{x^k}{k+8}\right) - 4 \left(\frac19 + \frac x{10} + \sum_{k=2}^\infty \frac{x^k}{k+9}\right) + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k[/tex]
Condensing the series gives
[tex]\displaystyle h(x) = -\frac49 - \frac{23}{45}x + \sum_{k=2}^\infty \left(7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}\right)x^k[/tex]
So, if
[tex]\displaystyle h(x) = \sum_{k=0}^\infty c_kx^k = c_0 + c_1x + c_2x^2 + \cdots[/tex]
then it follows that
[tex]c_0 = -\dfrac49[/tex]
[tex]c_1 = -\dfrac{23}{45}[/tex]
and for k ≥ 2,
[tex]c_k = \displaystyle 7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}[/tex]
If each exterior angle of a regular polygon is 24,how many side does the polygon have?
Answer:
15 sides
Step-by-step explanation:
all exterior angles of any polygon add to 360 degrees
so if you divide 360 by 24, then you will find the number of sides
360/24 = 15
Question 2
The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you
think saving for a down payment on the car was worth it for Isabel? Useeach monthly payment with and
without a down payment) to find the difference of the total amount paid for the car in each scenario to
justify your answer.
Answer:
students should use the monthly payment provided if no down payment is made to find the total amount she'll pay over the course of her loan.
Step-by-step explanation:
Edmentum Financial Math Unit3 Activity on yt 20:58
Answer: Yes, it is worth putting the down payment down as it ends up saving her roughly $865.60.
Step-by-step explanation:
Yes, I think it was worth saving up to put a down payment down. I think this because over time it lowered her interest rate causing her to safe roughly just under a thousand dollars. Without the down payment she would have payed a little under 25 thousand dollars, but with the down payment she is now instead paying a total of just under 24 thousand dollars. I found this out from multiplying the amount she was paying per month based off of if it was with or without a down payment ($412.22 per month without the down payment, and 314.46 per month with the down payment of 5000 dollars) then I would multiply those numbers by 12 and then 5. 12 representing the amount of months per year she is paying and the 5 representing the total amount of years it will take to have it payed off. If it has to be exact though, then the exact dollar amount that the with down payment and without the down payment would be $865.60. That number represents the total she saved when making the down payment after the five years.
A map has a scale of 1 in : 3 km. If the actual distance is 15 km, what is the distance on the map?
Answer:
5 in.
Step-by-step explanation:
The ratio of map distance to real distance is 1 in : 3 km meaning that 1 inch on the map describes 15 km in real life.
15 km is 5 times 3 km, so the map distance is 5 times 1 in., or 5 in.
1 in. x 5 : 3 km x 5
This is a "school math" problem where things come out nicely! Another way to look at this is with equivalent fractions.
[tex]\frac{\text{1 in}}{\text{5 km}} = \frac{\text{m}}{\text{15 km}}[/tex]
"cross multiply"
[tex]5m = (15)(1)\\5m=15\\m=3 \text{ in.}[/tex]
Help!! Will give brainliest!
Answer:
$1000Step-by-step explanation:
Given:
A = 275000i = 8.1% or 0.081 (per year)n = 13*12 = 156 (13 years per 12 periods)d = ?Use the given formula and find d:
[tex]275000 = d(\frac{(1+0.081/12)^{13}-1}{0.081/12})[/tex][tex]275000 = d*275[/tex][tex]d = 275000/275[/tex][tex]d = 1000[/tex]Find the unknown value.
Hello gonzaleznoah570!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \tt\frac{48}{16} = \frac{ \boxed{}}{8} \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Let's take the value inside the box as 'x'. So, now our equation becomes...
[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ [/tex]
Now, using cross multiplication, solve it.
[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ \tt \: 48 \times 8 = 16 \times x \\ \tt \: 384 = 16x \\ \tt \frac{384}{16} = x \\ \boxed{\boxed{ \bf \: 24 = x}}[/tex]
The value of the [tex]\boxed{}\\[/tex] is 24.__________________
Hope it'll help you!
ℓu¢αzz ッ
Hello There!
Question:-
Find the unknown value
Equation Given:-
[tex]\sf \dfrac{48}{16} = \dfrac{\boxed{}}{8} [/tex]
Solution:-
Let's us assume that the value of the unknown number be b.
The Equation would be :-
[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{b}{8} [/tex]
Firstly, Cross multiply :-
[tex]\sf \longmapsto \: (48)*(8)=b*(16)[/tex]
On Simplification of this equation :-
[tex]\sf \longmapsto384 = b*(16)[/tex]
[tex]\sf \longmapsto384 = 16b[/tex]
Overturn The equation given :-
[tex]\sf \longmapsto16b = 384[/tex]
Divide both sides by 16 :-
[tex]\sf \longmapsto \: \dfrac{16b}{16} = \dfrac{384}{16} [/tex]
On Simplification of this equation :-
Cancel 16 and 16, Result is 1b, which equals to b.
[tex]\sf \longmapsto \dfrac{ \cancel{16}b}{ \cancel16} = \dfrac{384}{16} [/tex]
Then cancel 384/16, which results to 24.
[tex]\sf \longmapsto \: b = \cancel\dfrac{384}{16} [/tex]
[tex]\sf \longmapsto \: b = 24[/tex]
Put the value of b (24) on 48/16 = b/8 :-
[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{24}{8} [/tex]
______________________________________
Henceforth,The unknown value is 24.
[tex]\boxed{ \bf \: \dfrac{48}{16} = \dfrac{24}{8} }[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
Use the graph to determine which one of the three statements below is a lie.
The average rate of change between [0,4] is positive
The average rate of change between [-3, 4] is 7.
The average rate of change between [0,4] is ¾.
Explain using one or two sentences why it is a lie or how to make it a true statement.
Answer:
Step-by-step explanation:
One formula for "average rate of change" is
f(b) - f(a)
a. r. c. = ------------------- = (increase in y) / (increase in x
b - a
In the case of this particular function, a = 0, b = 4, and the related y-values are f(a) = f(0) = -3, f(b) = f(4) = 0, and so the average rate of change of this function on (0, 4) is
f(4) - f(0) 0 - (-3)
a. r. c. = ---------------- = --------------- = +3/4
4 - 0 4
Therefore, "The average rate of change between [0,4] is positive" is true.
f(4) - f(-3) 0 - (0)
a. r. c. = ---------------- = --------------- = 0 (not 7)
4 - 0 4
Therefore, "The average rate of change between [-3,4] is positive" is false. The average r. of c. is actually 0. (Again, see above).
From above,
f(4) - f(0) 0 - (-3)
a. r. c. = ---------------- = --------------- = +3/4 This is true
4 - 0 4
the sum of 4x² + x - 8 and x² + 9 can be expressed as
Answer:
5x^2+x+1
Step-by-step explanation:
Damian is watching the temperature of the swimming pool. It is currently 86.6° and cooling 0.5° per minute. After how many minutes will the swimming pool be 80.8°?
Answer:
12 minutes
Step-by-step explanation:
First we need to look at the change in the two temperatures:
86.6-80.8= 5.8
Next we know that every minute the temperature drops half of a degree so we will find how many minutes until it reaches 80.8:
5.8/0.5= 11.6
Round the answer up to 12 minutes to have a whole number and the pool will be at 80.8 degrees or lower in 12 minutes.
Which of the following are equations for the line shown below? Check all that
apply.
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The values of k for the points given are -5 or +5. This eliminates choices A and C. The corresponding values of h are -2 and +2, so the equations you're looking for are ...
y +5 = 2.5(x +2) . . . . choice D
y -5 = 2.5(x -2) . . . . choice B
help please i need answer asap!!
Answer: g(x) -1/2fx-1
Step-by-step explanation: Pretty much you distribute the 1/2f to the x and the 2 then you got you function.
Plzz help asap plzzzzzz
Answer:
6 1 / 24
Step-by-step explanation:
in 1 hour - 5 / 6 tons of dust
Total dust = 7 1 / 4 = 29 / 4
1 ----- 5 / 6
x ----- 29 / 4
x = (29 / 4 ) * (5 / 6)
x = 145 / 24
x = 6 1 / 24
THIS IS DUE SOON , PLEASE ANSWER.
I think its C. It should be.
Answer:
C
Step-by-step explanation:
If you graph y=4x-8, you'll see that
1. The y-intercept is at -8 (where the line intersects the y-axis)
2. The rate of change (or slope) is 4 (for every 1 unit you move to the right, the line goes up 4 units)
The graph shown has a y-intercept at -6, and the slope is 10.
So the function shown on the graph has a greater rate of change (10 vs 8) and a higher y-intercept (-6 vs -8)
6m - 7: m = 12
Plsss helppp
Answer:
65
Step-by-step explanation:
6m-7 :m=12
6(12)-7
6x12=72
72-7=65
Therefore your answer is 65.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{6m - 7}[/tex]
[tex]\huge\textsf{= 6(12) - 7}[/tex]
[tex]\huge\textsf{= 72 - 7}[/tex]
[tex]\huge\textsf{= 65}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{65}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the binomial coefficient:200/1
Answer:
1/200????????????????
Step-by-step explanation:
A baseball stadium sold some burgers. 2,806 were cheeseburgers. 1,679 burgers didn’t have cheese. How many burgers did they sell in all?
Answer:
4485
Step-by-step explanation:
1679+2806= 4485
Hope this helps! :)
