Answer:
Pints
Step-by-step explanation:
Answer:
Sanjay has more milk (12 pints)
Step-by-step explanation:
A quarter equals two pints
3 quarts = 3(2) = 6 pints
Lisa has 6 pints
Sanjay has 12 pints
Hope this helps
The population of Nowhere, USA was estimated to be 886,000 in 2004, with an expected increase of 4% per year. At the percent of increase given, what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
y=886000(1.04)^t
t=1 year so answer is 886000*1.04 = 921440
Suppose $24,000 is deposited into an account paying 7.25% interest, which is compounded continuously.
How much money will be in the account after ten years if no withdrawals or additional deposits are made?
$49,553.54
$48,326.40
$47,897.10
$46,414.20
Answer:
$49,553.54
Explanation:
[tex]\sf Continuously \ compound \ interest : {A = P e^{rt}[/tex]
[tex][\sf where \ A \ is \ final \ amount, \ P \ is \ principal \ amount, \ r \ is \ interest \ rate, \ n \ is \ years][/tex]
Here given following:
principal amount (P) = $24,000rate of interest (r) = 7.25%years (t) = 10 yearsInserting these values in formula:
[tex]\rightarrow {A = 24000e^{7.25\% (10)}[/tex]
simplify following
[tex]\rightarrow {A = 49553.54[/tex]
The volume of a cube is 27 cubic in. Which expression represents s, the lenght of a side of the cube
Answer:
Hello i am here to give the answer of the above question................................................................................................................................
Solution:Here
Given,
Volume of a cube is 27 so.
Length of a side of the cube =?
So I think the correct answer of this question is 3
Thank you......... ..................
Graph the given functions, f and g, in the same rectangular coordinate system. Use the integer values of x given to the right of the functions to obtain ordered pairs. Describe how the graph of g is related to the graph of f
Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.
How the graphs are related?
Here we have:
[tex]f(x) = \sqrt{x}[/tex]
first we want to evaluate it in x = 0, 1, 4, 9.
Doing that we get:
[tex]f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3[/tex]
The other function is:
[tex]g(x) = \sqrt{x} -3[/tex]
Evaluating in the same values of x.
[tex]g(0) = \sqrt{0} -3 = -3\\g(1) = \sqrt{1} -3 = -2\\g(4) = \sqrt{4} -3 = -1\\g(9) = \sqrt{9} -3 = 0[/tex]
Then we can see that for all the values of x, g(x) is 3 units less than f(x).
Then g(x) is a translation of 3 units downwards of f(x). The correct option is B.
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Solve for x in the diagram below.
Answer:
X = 15
Step-by-step explanation:
We can tell that the two sides that show the degrees are equal because of the arc. We can set up a simple equation:
x + 45 = 60
x = 15
Answer:
x = 15°
Explanation:
The two marked angles are equal as they are vertically opposite angles.
∴ x + 45° = 60°
⇒ x = 60° - 45°
⇒ x = 15°
Statistics 4. Hol (a) The average age of 5 students is 9 years. Out of them, the ages of 4 students are 5, 7, 8, and 15 years. What is the age of the remaining student?
Answer:
10 years
Step-by-step explanation:
the average or mean value is the sum of all data points divided by the number of data points.
x = the unknown age of the 5th student.
average = 9 = (5 + 7 + 8 + 15 + x)/5
45 = 5 + 7 + 8 + 15 + x = 35 + x
x = 45 - 35 = 10
the 5th student is 10 years old.
Look at angle UVY and angle YVW in the image below. Which of the following is the best description for this pair of angles?
QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.
The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
Compound interestThe formula for calculating the compound interest is given as:
A = P(1+r/n)^nt
Given the following parameters
A = 10000(1+0.04/4)^4(6)
A = 10000(1+0.01)^24
A = 10000(1.01)^24
A = 1.2697(10,000)
A = $12,697
Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
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The equation of a line is y equals 4 over 3 x minus 5 over 3.
What would be the slope of a line perpendicular to this line?
A. -3/4
B. 5/3
C. -4/3
D. 3/5
Answer:
-3/4
Step-by-step explanation:
So you have the equation: [tex]y=\frac{4}{3}x-\frac{5}{3}[/tex]. For a perpendicular line, the only thing that matters is the slope. The slope of the perpendicular line can be defined as: [tex]\frac{a}{b} = > -\frac{b}{a}[/tex]. It's the reciprocal with the sign being the opposite. So if the sign of the original line was negative it's now positive, and if it's positive, it's not negative. The fraction is also flipped, even if it's an integer, it can be defined as a fraction e.g ([tex]6 = > -\frac{1}{6}[/tex] (sign also changed too))
So in this case the slope is 4/3x, since it's given in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept. So we flip it to get 3/4 and change the sign to negative to get -3/4
does anyone know how to solve this?
Just put -2 in,where X is and get your answer that way
you randomly select one card from a 52 card deck find the probability of selecting a ace or a two
monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%, compounded monthly. Add the future values of each payment to calculate the total value of the annuity on september 1.
The annuity on September 1 will be $621.43 if the monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
Monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%.
Value of annuity as of September 1 calculation:
From the table:
For Jan:
Jan 0 $75.00 1.07214 $80.41
For Feb
Feb 1 $75.00 1.06152 $79.61
And on September 1, the value of the annuity will be: =
= $621.43
Thus, the annuity on September 1 will be $621.43 if the monthly payments of $75 are paid into an annuity beginning on January 31, with a yearly interest rate of 3%
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There are ten rappers performing live, the other 14 ill. what is the percentage of the ill rappers, and what would happen if you add 5 rappers to the performance. Does this make it more complicated?
Answer:
14/24 are ill so
58 percent
if you add 5 it does not get more complicated you just add 5 so 14/29
Hope This Helps!!!
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer. You must support your answer using length or slope.
A(3, 5), B(7, 6), C(6, 2), D(2, 1)
======================================================
Reason:
Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.
[tex]A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\[/tex]
Segment AB is exactly [tex]\sqrt{17}[/tex] units long, which is approximately 4.1231 units.
If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.
-------------------------
Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.
Let's find the slope of AB.
[tex]A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\[/tex]
Segment AB has a slope of 1/4.
Do the same for BC
[tex]B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\[/tex]
Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.
We don't have perpendicular lines, so the interior angles are not 90 degrees each.
Therefore, this figure is not a rectangle and by extension it's not a square either.
The best description for this figure is a rhombus.
Answer:
Rhombus
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. That is, they have the same midpoint. If they are the same length, that parallelogram is a rectangle. If they cross at right angles, it is a rhombus. If it is a rectangle and rhombus, then it is a square.
Diagonal midpointsThe midpoints of AC and BD are ...
(A+C)/2 and (B+D)/2
To determine if the midpoints are the same, we can skip the division by 2 and simply look at the sums:
A +C = (3, 5) +(6, 2) = (9, 7)
B +D = (7, 6) +(2, 1) = (9, 7)
The midpoints of the diagonals are the same, so the figure is at least a parallelogram.
Diagonal vectorsThe diagonal vectors will be the same length if the figure is a rectangle. They will be perpendicular if the figure is a rhombus. The vectors are ...
AC = C -A = (6, 2) -(3, 5) = (3, -3)
BD = D -B = (2, 1) -(7, 6) = (-5, -5)
The length of each of these is the root of the sum of squares of its components. These are obviously different lengths (3√2 vs 5√2).
The dot-product of these will be zero if they are perpendicular:
AC·BD = x1·x2 +y1·y2 = (3)(-5) +(-3)(-5) = -15 +15 = 0
ConclusionThe diagonals are different length and mutual perpendicular bisectors, so the figure is a rhombus.
__
Additional comment
Looking at the dot-product is a simple way to check that the slopes are opposite reciprocals. The slope of a vector with components (x, y) is m = y/x.
The requirement that slopes be opposite reciprocals means ...
y1/x1 = -1/(y2/x2) . . . . . . . . slope relationship
(y1)(y2)/((x1)(x2)) = -1 . . . . . multiply by y2/x2
y1·y2 = -x1·x2 . . . . . . . . . . multiply by (x1·x2)
x1·x2 +y1·y2 = 0 . . . . . . . . add x1·x2
This shows the vector dot product being zero is equivalent to the slopes being opposite reciprocals. The vectors are perpendicular in this case.
Compute the probability of tossing a six sided die and getting a 7.
Answer:
0/6
Step-by-step explanation:
There are 6 numbers on the die: 1, 2, 3, 4, 5, 6
As you can see there is no 7, so the possibility is 0/6.
x²+x-6
p= -2, q=3.
Factor the quadratic trinomial.
What are the binomial factors?
O(x + 2)(x-3)
O(x-2)(x+3)
O(p-2)(q + 3)
Daphne and Josephine earn commission on the sales they each make. Daphne earned $80 in commission on a sale of $1,600 . Josephine earn: twice the commission percentage as Daphne. If the commission Josephine earns is $150 , how much were her sales, in dollars?
Josephine's sales in dollar is $1500.
What is Josephine's sales in dollars?The first step is to determine the percentage commission earned by Daphne.
Percentage commission : ($80 / $1600) x 100 = 5%
Percentage commission of Josephine: 5% x 2 = 10%
Josephine's sales = dollar commission / percentage commission
$150 / 0.1 = $1500
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A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 10 pounds of peanuts, the manager decided to mix the 10 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?
If you bought 20 pounds of cashews, your bottom line would remain the same.
How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue?Cashew and peanut butter together represent a linear relationship. Twenty pounds of cashews would have no impact on profits.
Cashews are represented here by the letter c and peanuts by the letter p.
U-4.00
Up=1.50
Um=2.00
p-40 pounds of peanuts that have not been sold.
m=40+c -when 40 pounds of peanuts are combined with cashews, the resulting combination
Generally, the equation for c is mathematically given as
Ue x c+Up xp=Um x m
Therefore
4.00 x c+1.50 x 40 2.00 x (40+c)
4c+60-80+2c
2c= 20
c=10
In conclusion, If you bought 20 pounds of cashews, your bottom line would remain the same.
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How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 Reset Next
Answer:
8*8*8*8*8
Step-by-step explanation:
Answer:
8 x 8 x 8 x 8 x 8
Step-by-step explanation:
8^5 is basically 8 times itself five times.
Write the ratios for sin M, cos M, and tan M.
Answer:
Sin M= opposite/hypotenuse, cos M= adjacent/Hypotenuse, tan M= opposite/adjacent
Step-by-step explanation:
Answer:
sinM= [tex]\frac{opposite}{hypotenuse}[/tex]
cosM= [tex]\frac{adjacent}{hypotenuse}[/tex]
tanM= [tex]\frac{opposite}{adjacent}[/tex]
2. In factored form, a quadratic function can be written as y = (-2-x) (x-8). This parabola goes through the points (-2, 0) and (8, 0). Use your knowledge of the symmetry of the parabola to find the vertex. Show all work. 4 mark
Answer:
(3, 25)
Step-by-step explanation:
The symmetry of a parabola means that if you have two y coordinates which are the same, the axis of symmetry is going to be in the middle of the x-coordinates. So in this case it's the middle number of -2 and 8. So to find the midpoint of these two numbers, you simply add them together and divide it by 2. This gives you the equation: [tex]\frac{-2+8}{2}=\frac{6}{2}=3[/tex]. This means that the axis of symmetry is at: [tex]x=3[/tex], and as you may know, this axis of symmetry passes through the vertex. So this means the x-axis of the vertex is 3, so to find the y-value simply plug in 3 as x
y = (-2-3)(3-8)
y = (-5)(-5)
y = 25
So this means the vertex is at (3, 25)
Ramona Oden deposited $6,000 at 5.5% interest compounded daily for 25 days.
Find the a) amount, and b) compound interest
Katelyn was asked to solve for the unknown the problem shows that n +6=13 her steps are shown below
The solution of the unknown equation n + 6 = 13 will be n = 7.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is
n +6=13
To solve for n
Subtract 6 on both sides;
n +6=13
n = 13- 6
n = 7
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Dollar General sold garden hoses at a reduced price of $7.64 and took an end of the season markdown of $12.35. What was the original selling price of each hose? Use formula M=S-N = selling price-reduced price
The original selling price of the garden hoses is $19.99
How to find the original selling price?Using the given formula,
M = S - N
where
M = markdownS = original selling price,N = reduced priceHence,
M = $12.35.
N = $7.64
Therefore,
S = M + N
S = 12.35 + 7.64
S = $19.99
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Find the value of f(g(-1).
Answer: -8
Step-by-step explanation:
[tex]g(-1)=2(-1)+5=3\\\\f(g(-1))=f(3)=1-3^{2}=\boxed{-8}[/tex]
Answer:
b.) f(g(-1)) = -8
Step-by-step explanation:
Given following:
f(x) = 1 - x²g(x) = 2x + 5Start solving from the right while doing these sums.
f(g(-1))f(2(-1) + 5)f(3)1 - (3)²1 - 9-82.5 pts Each week 5 new office phones are installed in a major network company. At the beginning of March, 200 phones had already been installed. Write a linear equation to model this situation. Do not use spaces in the equation.
Use your equation if the company wanted to replace all phones in the building (500 total). How many weeks would it take to finish this project?
The linear equation formed is y = 200 +5x and 60 weeks will be required to finish the project.
What is an Equation ?A statement that relates two mathematical expressions by an equal sign is called an Equation.
It is given that
No. of phones Per week installed in the office = 5
Let the no. of phones installed at the present week is given by y
and let x weeks have passed by before that
then the linear equation is formed as
y = 200 +5x
If the company wants to replace all the phones
Total phones = 500
No. of week required = ?
500 = 200+5x
300 = 5x
x = 60
Therefore 60 weeks will be required to finish the project.
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Let z = equals 38 (cosine (startfraction pi over 8 endfraction) i sine (startfraction pi over 8 endfraction) ) and w = 2 (cosine (startfraction pi over 16 endfraction) i sine (startfraction pi over 16 endfraction) ) . what is the product of zw?
It sounds like you're saying
[tex]z = \dfrac38 \left(\cos\left(\dfrac\pi8\right) + i \sin\left(\dfrac\pi8\right)\right)[/tex]
[tex]w = 2 \left(\cos\left(\dfrac\pi{16}\right) + i \sin\left(\dfrac\pi{16}\right)\right)[/tex]
The product [tex]zw[/tex] is obtained by multiplying the moduli and adding the arguments. In other words
[tex]z = |z| e^{i\arg(z)} \text{ and } w = |w| e^{i\arg(w)} \implies zw = |z||w| e^{i(\arg(z)+\arg(w))}[/tex]
where [tex]e^{it}=\cos(t)+i\sin(t)[/tex], so that
[tex]zw = \dfrac38\times2 \left(\cos\left(\dfrac\pi8+\dfrac\pi{16}\right) + i \sin\left(\dfrac\pi8 + \dfrac\pi{16}\right)\right) = \boxed{\dfrac34 \left(\cos\left(\dfrac{3\pi}{16}\right) + i \sin\left(\dfrac{3\pi}{16}\right)\right)}[/tex]
Calculate the slope of the line between the pairs of points in each of the tables to determine which table represents a linear function.
Answer:
B
Step-by-step explanation:
Hope it helps :)
identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
Using it's concepts, it is found that for the function [tex]f(x) = \frac{5x}{x - 25}[/tex]:
The vertical asymptote of the function is x = 25.The horizontal asymptote is y = 5. Hence the end behavior is that [tex]y \rightarrow 5[/tex] when [tex]x \rightarrow \infty[/tex].What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. They also give the end behavior of a function.In this problem, the function is:
[tex]f(x) = \frac{5x}{x - 25}[/tex]
For the vertical asymptote, it is given by:
x - 25 = 0 -> x = 25.
The horizontal asymptote is given by:
[tex]y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = 5[/tex]
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The adjacent sides of the parallelogram are (x + 3) and (x + 2). Find the perimeter of the parallelogram.
Answer:
P = 4x+10
Step-by-step explanation:
So a parallelogram has 2 set of sides which are parallel and equal. So if you're given two adjacent sides, that means you're given a side from each set of sides, which are equal. This means the perimeter is simply: 2(x+3) + 2(x+2). This can be further simplified by distributing the 2 which gives you the equation: 2x+6+2x+4, which further simplifies to 4x+10.