diego and lin are dinking milkshakes lin started with 12 ounces and drinks 1/4 ounces per second . deigo starts with 20 ounces and drinks 2/3 ounce per second how long will it take lin and diego to finish their milk shakes
Answers
Answer:
lin: 12 ounces/ (1/4) ounces= 12/(1/4)=48 sec
diego:20 ounces/ (2/3) ounces= 20/(2/3)= 30 sec
Related Questions
Any point on the parabola can be labeled (x,y), as shown. What are the distances from the point (x,y) to the focus of the parabola and the directrix? Select two answers.distance to the focus: (squareroot over this whole problem)* (x+3)^2+(y-3)^2distance to the directix: |y-4|distance to the directix: |y+4|distance to the focus: *squareroot over again* (x+3)^2+(y-2)^2distance to the directix: |x-4|distance to the focus: *square root again* (x-2)^2+(y+3)^2
Answers
Given:
Vertex: (-3, 3)
Focus: (-3, 2)
Let's find the distance from the point (x, y) to the focus of the parabola and the directrix.
To find the distance, apply the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Thus, we have:
Distance from (x, y) to the focus:
Where:
(x1, y1) ==> (x, y)
(x2, y2) ==> (-3, 2)
Thus, we have:
\(\begin{gathered} d=\sqrt{(x-(-3))^2+(y-2)^2} \\ \\ d=\sqrt{(x+3)^2+(y-2)^2} \end{gathered}\)Therefore, the distance from the point (x, y) to the focus is:
\(\sqrt{(x+3)^2+(y-2)^2}\)• The distance from the point to the directrix.
From the graph, the directrix is:
y = 4
Now, to find the distance, subtract the y-coordinate of the point from y = 4.
The distance is the absolute value of the result.
Thus, we have:
\(|y-4|\)ANSWER:
Distance from the point to the focus:
\(\sqrt{(x+3)^2+(y-2)^2}\)Distance from the point to directrix:
\(|y-4|\)How many 2-digit special numbers are there?.
Answers
Four special two digit numbers exist: 1, 2, 145, and 40585.
A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits. Take the number's initial and last digits out, then add and multiply each digit independently. After that, multiply the two-digit number by the sum and product of its digits and then compare the result to the original value. If they match, it qualifies as a special two-digit number; otherwise, it does not.
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What is the mean of the data set?
{29, 40, 46, 6, 29, 6}
Question 1 options:
A. 40
B. 26
C. 156
D. 29
Answers
Answer:
The answer is 26. Add them all together then divide by the amount of numbers.
Step-by-step explanation:
When you multiply a matrix by the identity matrix, you obtain the
Answers
Answer:
product is the right answer of your question
Step-by-step explanation:
Any number multiplied by one results in the same original number. The same goes for a matrix multiplied by an identity matrix, the result is always the same original non-identity (non-unit) matrix, and thus, as explained before, the identity matrix gets the nickname of "unit matrix".
(1 point) find the laplace transform f(s)=l{f(t)} of the function f(t)=e3t−18h(t−6), defined on the interval t≥0. here, h(t) is the unit step function (heaviside).
Answers
The Laplace transform of the function f(t) = e^(3t) - 18h(t-6) can be found using the properties of the Laplace transform and the definition of the unit step function.
To find the Laplace transform, we split the function into two parts. The first part is e^(3t), which has a Laplace transform of 1/(s-3) due to the Laplace transform property e^(at) ⇔ 1/(s-a). The second part is -18h(t-6), where h(t-6) is the unit step function shifted by 6 units to the right. The Laplace transform of the unit step function h(t-a) is 1/s multiplied by e^(-as), which gives us 1/s * e^(-6s) in this case.
Combining the two parts, the Laplace transform of f(t) is given by F(s) = 1/(s-3) - 18/(s) * e^(-6s).
In summary, the Laplace transform of f(t) = e^(3t) - 18h(t-6) is F(s) = 1/(s-3) - 18/(s) * e^(-6s), where F(s) is the Laplace transform of f(t) with respect to the variable s.
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What is the degree of the polynomial 7x3 5x 4x5 2x2?
Answers
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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What is the balance after 5 years in a savings account that earns 6% interest compounded monthly when the initial deposit is $10000?
Answers
Given \( i^{(2)}=1.45000 \% \), find the equivalent effective bi-weekly rate. a. \( 0.05558 \% \) b. \( 0.05336 \% \) c. \( 0.05114 \% \) d. \( 0.05447 \% \) e. \( 0.05003 \% \)
Answers
The equivalent effective bi-weekly rate is approximately 0.01456%.
To find the equivalent effective bi-weekly rate, we need to convert the given nominal rate \(i^{(2)} =1.45000\%\) to the effective rate for a bi-weekly period.
The formula to convert a nominal rate to an effective rate is \(i^{(m)} =(1+r/m)^{m}-1\), where \(i^{(m)}\) is the effective rate, r is the nominal rate, and m is the number of compounding periods per year.
In this case, we have a nominal rate \(i^{(2)}\) that corresponds to a semi-annual compounding (2 periods per year). We can plug the values into the formula and calculate the effective rate \(i^{(bi-weekly)}\) for a bi-weekly period.
\(i^{(bi-weekly)}=(1+1.45000/2/100)^{2}-1\)
Calculating the expression:
\(i^{bi-weekly}=(1+0.00725)^{2} -1\\i^{bi-weekly}= 1.0145640625-1\\i^{bi-weekly}= 0.0145640625\)
The equivalent effective bi-weekly rate is approximately 0.01456%.
Among the given options, none of them match the calculated value exactly.
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When 1580 is divided into 13 equal parts, the remainder is 7. What is a correct way to write the quotient? 121.7 121 + 7 1217 over 1580 1217 over 13
Answers
Answer:
121.54
Step-by-step explanation:
1580÷13=121 r 7
7 over 13 is 0.538462
rounded off to 2 decimal places:0.54
so 121+0.54
121.54
If $14,000 is invested in an account for 15 years. Calculate the total interest earned at the end of 15years if the interest is:(a) 7% simple interest: $(b) 7% compounded annually: $(c) 7% compounded quarterly: $(d) 7% compounded monthly: $Round your answers to the nearest cent.
Answers
Hello!
Let's solve alternative (a):
For simple interest, we'll use the formula below:
\(A=P(1+\frac{r}{100}\cdot t)\)Let's replace them with the values:
\(\begin{gathered} A=14,000(1+0.07\cdot15) \\ A=14,000(1+1.05) \\ A=14,000\cdot2.05 \\ A=\$28,700 \end{gathered}\)Solving alternative (b):
To compound interest, we'll modify the formula:
\(A=P(1+\frac{r}{100})^t\)So, we'll have:
\(\begin{gathered} A=14,000(1+0.07)^{15} \\ A=14,000(1.07)^{15} \\ A=14,000\cdot2.75903 \\ A=\$\text{ }38,626.42 \end{gathered}\)Solving alternative (c):
\(\begin{gathered} A=P(1+\frac{r}{4})^{4t} \\ A=14,000(1+\frac{0.07}{4})^{4\cdot15} \\ A=14,000(1.0175)^{60} \\ A\cong$ \$\text{ }39,645.43 $ \end{gathered}\)Solving alternative (d):
\(\begin{gathered} A=P(1+\frac{r}{12})^{12\cdot t} \\ A=14,000(1+\frac{0.07}{12})^{12\cdot15} \\ A\cong\$\text{ }$ 39,885.25 $ \end{gathered}\)Evaluate 8 (x – y) when x
5 and y = 2
I need help please this is due at 12:00
Answers
Answer:
24
Step-by-step explanation:
8(5-2) (insert x=5 , y=2)
8(3)
24
help please! will mark brainliest
Answers
Answer:
C
Step-by-step explanation:
Each output is 3 more than the input
Answer: the answer is c, y + 3
Identify this sequence: 12,19,26,33,40,47. The next term is___??
Answers
Answer:
54
Step-by-step explanation:
Write 5.24 as a mixed number in simplest form.
5.24 =
Answers
Step-by-step explanation:
5 +0.24 = 5 + 24 = 12 = 6
100 50 25
= 5 6
25
The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?
Answers
Given:
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.
The point is (-3,-2).
To find:
The image of given point after the transformation.
Solution:
Consider the given point be P(-3,-2).
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.
If a figure translated by T⟨–5, 3⟩, then
\((x,y)\to (x-5,y+3)\)
\(P(-3,-2)\to P'(-3-5,-2+3)\)
\(P(-3,-2)\to P'(-8,1)\)
If a figure reflected by R x-axis, then
\((x,y)\to (x,-y)\)
\(P'(-8,1)\to P''(-8,-1)\)
Therefore, the image of given point after transformation is (-8,-1).
I have attached my problem.
Answers
All the inequalities that represent the graph include the following:
B. y > -5/4(x) + 5
E. y + 5 > -1.25(x - 8)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (5 - 0)/(0 - 4)
Slope (m) = 5/-4
Slope (m) = -5/4
At data point (0, 5) and a slope of -5/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -5/4(x - 0)
y - 5 = -1.25(x - 0)
y = -5x/4 + 5
y > -5x/4 + 5 (shaded above the dashed line).
At data point (8, -5) and a slope of -5/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = -5/4(x - 8)
y + 5 = -1.25(x - 8)
y + 5 > -1.25(x - 8)
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The following table shows the cost for 444 fruits. For example, apples cost \$6$6dollar sign, 6 for 555 pounds.
Fruit Cost (dollars) Pounds
Apples 666 555
Bananas 444 555
Peaches 555 444
Kiwis 999 666
Which type of fruit has a cost of \$1.20$1.20dollar sign, 1, point, 20 per pound?
Answers
The type of fruit that has a cost of $ 1. 20 per pound, given the cost of the fruits would be Apples.
How to find the type of fruit ?The fruit that would have a cost of $ 1. 20 per pound can be found by checking for the cost per pound of each fruit shown.
Cost of bananas :
= 4 / 5
= $ 0. 80 per pound
Cost of peaches :
= 5 / 4
= $ 1. 25 per pound
Cost of Kiwis :
= 9 / 6
= $ 1. 50 per pound
Cost of apples :
= 6 / 5
= $ 1. 20 per pound
Apples are therefore the fruit of interest.
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A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.
cm²
Answers
Answer:
The area of the new triangle will be 90cm
How to find the area of a triangle
Given that the area of a triangle is expressed as:
A = 0.5bh
36 = 0.5bh
bh = 18
If the base and height are scaled by a factor of 5, then the area will be:
5(bh) = 5(18)
5(bh) = 90cm²
Hence the area of the new triangle will be 90cm²
Step-by-step explanation:
(1 point) The present value of a perpetuity paying 1 at the end of every 6 years is 0.5. Find the annual effective rate of interest i.
Answers
The annual effective rate of interest is approximately 3.218%.
To find the annual effective rate of interest, we can use the formula for the present value of a perpetuity:
PV = C / i
where PV is the present value, C is the cash flow, and i is the interest rate.
In this case, the present value (PV) is given as 0.5 and the cash flow (C) is 1, as the perpetuity pays 1 at the end of every 6 years. Plugging these values into the formula, we have:
0.5 = 1 / i
Rearranging the equation to solve for i, we get:
i = 1 / 0.5
i = 2
So the annual effective rate of interest (i) is 2.
However, since the interest is paid at the end of every 6 years, we need to convert the rate to an annual rate. We can do this by finding the equivalent annual interest rate, considering that 6 years is the period over which the cash flow is received.
To find the equivalent annual interest rate, we use the formula:
i_annual = \((1 + i)^(^1^ /^ n^)\) - 1
where i is the interest rate and n is the number of periods in one year. In this case, n is 6.
Plugging in the values, we have:
i_annual =\((1 + 2)^(^1 ^/^ 6^) - 1\)
i_annual = \((3)^(^1 ^/^ 6^) - 1\)
i_annual ≈ 0.03218
So the annual effective rate of interest (i_annual) is approximately 3.218%.
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Two events are ________ if the occurrence of one is related to the probability of the occurrence of the other.
Answers
Answer:
Dependent
Step-by-step explanation:
Two events are said to be dependent when the outcome of the first event is related to the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
A probability-dependent event is an event whose occurrence affects the probabilities of others. Suppose you have 3 red balls and 6 green balls in your pocket. Two balls are drawn one after the other from the bag. A dependent event is an event that depends on what happened before. These events are affected by previously occurring results.In other words, two or more intedependent events are called dependent events. A random change in one event can deviate from another.If two events A and B depend on each other, then the probability of A and B occurring is
P(A and B) = P(A) P(B|A)
Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
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On a blueprint, an architect drew a 12 inch line to represent the length of a 30-foot room. If the line that represents the width of the room is 8 inches long, how wide is the actual room?
Answers
Answer:
20 ft
Step-by-step explanation:
30 ft/ 12 inches= 2.5ft/in x 8 in= 20 ft
I hope this helps and good luck!
The line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
On a blueprint, an architect drew a 12-inch line to represent the length of a 30-foot room. Thus, the scale factor of foot to inch is,
\(k=\dfrac{30}{12}\)
Let suppose the line that represents the width of the room is 8 inches long, has the size of room in foot is x. Thus,
\(k=\dfrac{8}{x}\\\dfrac{12}{30}=\dfrac{8}{x}\\x=\dfrac{30\times8}{12}\\x=20\)
Thus, the line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.
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What is the perimeter of WXYZ?
Answers
6 = 2(y + 2)
Solve for y
Answers
Distribute
6=2(y+2)
6=2y+4
subtract 4 from both sides of the equation
6=2y+4
6-4=2y+4-4
simply
2=2y
then divide 2 from both sides
2/2=2y/2
y=1
Hope this helps :)
PLEASE HELP ON THESE TWO QUESTIONS ILL GIVE BRAINLIEST AND EVERYTHING ELSE
1. Luke bought 8 tickets to a basketball game. He paid a total of $208. Each ticket was a price of p. Write an equation to represent this situation.
2. Jessica purchased 6 quarts of milk for $9.54. Write an equation using a variable to represent how much she paid for each quart.
(sorry i couldnt do more points for this, its glitching.)
Answers
Answer:
1) p = 208/8
2) p = 9.54/6
Step-by-step explanation:
Answer:
1) 8p = 208$
p = 26$
2) q = one quart
6q = 9.54$
q = 1.59$
Step-by-step explanation:
1) 8p = 208$
p = 26$
2) q = one quart
6q = 9.54$
q = 1.59$
solve the inequality. 1/3b - 4 ≤ 4
Answers
Answer:
b ≤ 24
Step-by-step explanation:
Treat it like a two-step equation:
1/3b - 4 ≤ 4
Add 4 on both sides: 1/3b - 4 (+4) ≤ 4 (+4)
1/3b ≤ 8
Multiply 3 on both sides (3)1/3b ≤ 8(3)
b ≤ 24
Find the product. This is for algebra 2.
Answers
Answer:
D
Step-by-step explanation:
I would guess that the answer is the last one, D.
This is because,
1 * -2 = -2.
1 * 0 = 0
2 * 1 = 2
3 * 4 =12
Answer:
D
Step-by-step explanation:
Hope this helped
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b=1,500p , where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Complete the equation that represents the relationship between the number of packets and the number of bits.
Answers
Answer:
b = 12000p
Step-by-step explanation:
Given the equation:
b = 1500p
Where ;
b = number of bytes of information
p = number of packets of data
Each byte 'b' of information contains 8 bits of information :
Hence, equation which shows relationship between packet data and bit of information:
Since ;
1 packet = 1500 byte of information
1 byte of information = 8 bits of information
Hence, 1 packet will contain (1500 * 8 = 12000 bits) of information
Hence, the equation between packet data and bit of information becomes :
b = 12000p
Where ;
b = number of bits of information
p = number of packets of data
Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?
Answers
The equation of the path of the parabola is y = a(x - 13)² + 27
Given data ,
To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.
The equation of a parabola in vertex form is given by:
y = a(x - h)² + k
where (h, k) represents the vertex of the parabola
Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.
The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:
h = (10 + 16) / 2 = 13
Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)
Now, let's substitute the vertex coordinates (h, k) into the general equation:
y = a(x - 13)² + k
Substituting the vertex coordinates (13, 27)
y = a(x - 13)² + 27
To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).
This means that the highest point (13, 27) lies on the parabola
Substituting the vertex coordinates (13, 27) into the equation
27 = a(13 - 13)² + 27
27 = a(0) + 27
27 = 27
Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number
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3 of the 4 points below lie in a straight line.
Which point does NOT?
O (-2,-3)
(2,1)
O(-4,-2) O (0,0)
Answers
Answer:
O(-4,-2) is the answer
Step-by-step explanation:
because it lies between a horizontal line
the banana is 8 inches long how many 0.4 inch slices can be cut from the banana
Answers
Answer:20
Step-by-step explanation: