Answer:
3.48*10^-19
Step-by-step explanation:
We have the equation E = hf where h is planck's constant = aroung 6.63*10^-34 and f = frequency. We can then plug in the values and get the answer above.
estimate the number of calory in one cubic mile of chocalte ice cream. there are 5280 feet in a mile. and one cubic feet of chochlate ice cream, contain about 48,600 calories
The number of calory in one cubic mile of chocolate ice cream. there are 5280 feet in a mile. and one cubic feet of chocolate ice cream there are approximately 7,150,766,259,200,000 calories in one cubic mile of chocolate ice cream.
To estimate the number of calories in one cubic mile of chocolate ice cream, we need to consider the conversion factors and calculations involved.
Given:
- 1 mile = 5280 feet
- 1 cubic foot of chocolate ice cream = 48,600 calories
First, let's calculate the volume of one cubic mile in cubic feet:
1 mile = 5280 feet
So, one cubic mile is equal to (5280 feet)^3.
Volume of one cubic mile = (5280 ft)^3 = (5280 ft)(5280 ft)(5280 ft) = 147,197,952,000 cubic feet
Next, we need to calculate the number of calories in one cubic mile of chocolate ice cream based on the given calorie content per cubic foot.
Number of calories in one cubic mile = (Number of cubic feet) x (Calories per cubic foot)
= 147,197,952,000 cubic feet x 48,600 calories per cubic foot
Performing the calculation:
Number of calories in one cubic mile ≈ 7,150,766,259,200,000 calories
Therefore, based on the given information and calculations, we estimate that there are approximately 7,150,766,259,200,000 calories in one cubic mile of chocolate ice cream.
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A round pizza is $\frac13$ of an inch thick and has a diameter of 12 inches. It is cut into 12 congruent pieces. What is the number of cubic inches in the volume of one piece
The volume of one piece of pizza is π cubic inches.
To find the volume of one piece of pizza, we need to first find the total
volume of the pizza and then divide by the number of pieces.
Find the volume of the entire pizza.
The pizza is a cylinder with a height (thickness) of 1/3 inches and a
diameter of 12 inches.
We can find the radius by dividing the diameter by 2, so the radius is 6
inches. The formula for the volume of a cylinder is
V = πr²h,
where V is the volume, r is the radius, and h is the height.
V = π(6²)(1/3) V = π(36)(1/3) V = 12π cubic inches
Divide the total volume by the number of pieces.
There are 12 congruent pieces, so we need to divide the total volume by 12.
Volume of one piece = (12π cubic inches) / 12 The 12's cancel out, leaving
us with: Volume of one piece = π cubic inches
So, the volume of one piece of pizza is π cubic inches.
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What is 2/5 divided by 5/7 in fraction form, not decimal
Answer:
\(\frac{14}{25}\)
Step-by-step explanation:
Pre-SolvingWe want to know what is \(\frac{2}{5}\) ÷ \(\frac{5}{7}\), and we want to write it as a fraction.
When dividing fractions, we actually multiply the first fraction by the reciprocal of the second.
In other words, we "flip" the second fraction and multiply it by the first.
SolvingTo get the reciprocal / "flip" a fraction, we put the number that is the numerator on the denominator, and the number that is on the denominator onto the numerator.
So, for \(\frac{5}{7}\), its reciprocal is \(\frac{7}{5}\).
Now, we multiply \(\frac{2}{5}\) by \(\frac{7}{5}\).
\(\frac{2}{5}\) × \(\frac{7}{5}\) = \(\frac{14}{25}\)
The fraction cannot be reduced, so the answer is \(\frac{14}{25}\).
An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?
The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
To determine the upper and lower control limits for the sample means, we can use the formula:
Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))
Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))
In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.
For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.
Given:
Mean = 2.0 litres
Standard Deviation = 0.01 litres
Sample size (n) = 5
Using the formula, we can calculate the upper and lower control limits:
UCL = 2.0 + (1.96 * 0.01 / sqrt(5))
LCL = 2.0 - (1.96 * 0.01 / sqrt(5))
Calculating the values:
UCL ≈ 2.0018 litres
LCL ≈ 1.9982 litres
Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997
Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.
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a washing machine can hold 3/4 kg of laundry in each load. if randy has . 6 kilograms of laundry, how many loads does he need to do? 5 6 7 d8
Randy needs 8 loads.
To find the answer on the question we have to follow the method of multiplication and division .
A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.
\(\frac{3}{4}\) kg of laundry is equal to 1 load.
\(\frac{3}{4}\) kg of laundry = 1 load
1 kg of laundry = \(\frac{1 * 4}{3}\) load ( following the method of division )
1 kg of laundry = \(\frac{4}{3}\) load
Randy has 6kg of laundry.
So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.
6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)
= 8 loads
Hence, Randy needs 8 loads.
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Name the pair of angle, Find the measure of angle b
Answer:
b=34
Step-by-step explanation:
<a(340 corresponds to <b
50 POINTS!!! ASAP!!! WILL MARK BRAINLIEST!!!
3. Angelica uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent
the location of a gas station. Each unit on the graph represents 1 mi. She wants to drive to the gas station
using a straight line. How far is the gas station from Angelica’s house? Show your work.
Answer:
im guessing 11 miles but im not sure
Step-by-step explanation:
Answer:
Answer:
Distance between Gas Station and House = 7.81 miles.
Step-by-step explanation:
Given: House location ( 4, 3 ) and Gas station location ( 10, 8)
On graph 1 unit = 1 mile.
To find: Distance between Gas Station and House
We use the Distance formula to find the distance between two points
From given points and formula,
=
=
= units
Since, 1 unit = 1 mile
⇒
Therefore, Distance between Gas Station and House = 7.81 miles
Step-by-step explanation:
"five more than the product of four and a number is
equal to the product of three and that same number
increased by six."
A. X=-1
B. X= 1
C. X= 3
D. X= 1/2
Answer:
B
Step-by-step explanation:
Let the number = x
Product: 4 * x
Add 5: 4x + 5
=
3x + 6
Now equate the two parts.
4x + 5 = 3x + 6 Subtract 5 from both sides
4x + 5 - 5 = 3x + 6 - 5 Combine
4x = 3x + 1 Subtract 3x from both sides
4x-3x=3x -3x + 1 Combine
x = 1
.
.
The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
2.
3
4
5
6 7
8
Answer:The mean for the data in the dot plot is 5. What is the
absolute deviation for the data point at 7?
2
Step-by-step explanation:
If the circumference of a circle is 70cm. Find the measure of it's radius and diameter. (22/7)
pls help ill give brainliest to the person WHO GETS IT RIGHT
Answer:
The answer is D
Step-by-step explanation:
Answer:
the answer is the last option. p <_ 48
Suppose that n 0 and n 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P (x) y = Q(x) y^n into the linear equation dy/dx +(1-n)p(x)v(x)=(1-n)q(x).
The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:
The equation is in the form
dy/dx +P(x)y=Q(x)yⁿ, where P and Q are functions of x or constants, this is called Bernoulli's equation.
Now, we have to substitution using
\(v = {y}^{1 - n} \)
Differentiating both side with respect to 'x'
\(v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'\)
we get,
\(= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)\)
Now, by using
\(v' = {y}^{1 - n} \)
The given equation is expressed as:
\(v + (1 - n)p(x)v = (1 - n)q(x)\)
or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)
The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.
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Answer these questions
x + 5 greater than or equal to 13?
Answer:
x \(\geq 8\)
Step-by-step explanation:
pls help me with this
Answer:
I would but its confusing
25 POINTS, I DONT UNDERSTANDDDDDD :C WHAT IS SO MISLEADING ABOUT THIS GRAPH???
Answer:
honestly, the graph look totally fine...
If one ere pressed to find something to complain about it, one could suggest that you do not know if this was the starting price of the stock or the ending price of the stock each day?... One could also argue that to be a bit more meaningful you might want to know the range of prices during each day...
look up what is called a candle stick graph.. each day looks like a candlestick... the top is the highest value each the bottom the lowest, and there is a line in the candle that shows the closing price
Step-by-step explanation:
in problems 21 through 30, first verify that the given vectors are solutions of the given system. then use the wronskian to show that they are linearly independent. finally, write the gen- eral solution of the system.
By using the concept of differential equation, it can be calculated that
\(\\\begin{bmatrix} 3c_1e^{2t} +c_2e^{-5t} \\2c_1e^{2t} +3c_2e^{-5t} \end{bmatrix}\) is the general solution
What is a differential equation?
A differential equation is an equation consisting of one or more unknown variables and their derivative.
This is a problem on differential equation
\(x^{'} = \begin{bmatrix} 4 & -3 \\ 6 & -7\end{bmatrix}x\), \(x_1 = \begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix}\), \(x_2 = \begin{bmatrix} e^{-5t}\\3e^{-5t}\end{bmatrix}\)
To show \(x_1 = \begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix}\) is a solution of \(x^{'} = \begin{bmatrix} 4 & -3 \\ 6 & -7\end{bmatrix}x\)
\(x_1 = \begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix}\\\\x_1^{'} = \begin{bmatrix} \frac{d}{dt}(3e^{2t}) \\ \frac{d}{dt}(2e^{2t})\end{bmatrix}\\\\x_1^{'} = \begin{bmatrix} 6e^{2t} \\ 4e^{2t}\end{bmatrix}\\\\ \begin{bmatrix} 4 & -3\\6 &-7\end{bmatrix}\begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix} \\\\\begin{bmatrix} 12e^{2t}-6e^{2t} \\ 18e^{2t}-4e^{2t}\end{bmatrix}\\\\ = \begin{bmatrix} 6e^{2t} \\ 4e^{2t}\end{bmatrix}\)
So, \(x_1 = \begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix}\) is a solution of \(x^{'} = \begin{bmatrix} 4 & -3 \\ 6 & -7\end{bmatrix}x\)
To show \(x_2 = \begin{bmatrix} e^{-5t} \\ 3e^{-5t} \end{bmatrix}\) is a solution of \(x^{'} = \begin{bmatrix} 4 & -3 \\ 6 & -7\end{bmatrix}x\)
\(x_2 = \begin{bmatrix} e^{-5t} \\ 3e^{-5t} \end{bmatrix}\\\\x_2^{'} = \begin{bmatrix} \frac{d}{dt}(e^{-5t}) \\ \frac{d}{dt}(3e^{-5t})\end{bmatrix}\\\\x_1^{'} = \begin{bmatrix} -5e^{-5t} \\ -15e^{-5t}\end{bmatrix}\\\\ \begin{bmatrix} 4 & -3\\6 &-7\end{bmatrix}\begin{bmatrix} e^{-5t} \\ 3e^{-5t} \end{bmatrix} \\\\\begin{bmatrix} 4e^{-5t}-9e^{-5t} \\ 6e^{-5t}-21e^{-5t}\end{bmatrix}\\\\ = \begin{bmatrix} -5e^{-5t} \\ -15e^{-5t}\end{bmatrix}\)
So, \(x_2 = \begin{bmatrix} e^{-5t} \\ 3e^{-5t} \end{bmatrix}\) is a solution of \(x^{'} = \begin{bmatrix} 4 & -3 \\ 6 & -7\end{bmatrix}x\)
W=
\(\begin{vmatrix} 3e^{2t} & e^{-5t} \\ 2e^{2t} & 3e^{-5t} \end{vmatrix}\\=9e^{-10t} - 2e^{-10t}\\=7e^{-10t}\\\neq 0\)
\(x_1\) and \(x_2\) are linearly independent
The general solution is
\(c_1x_1+c_2x_2\\c_1\begin{bmatrix} 3e^{2t} \\ 2e^{2t} \end{bmatrix} +c_2\begin{bmatrix} e^{-5t} \\ 3e^{-5t} \end{bmatrix}\\\begin{bmatrix} 3c_1e^{2t} +c_2e^{-5t} \\2c_1e^{2t} +3c_2e^{-5t} \end{bmatrix}\)
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Complete Question
The differential equation has been attached below
A wizard need to prepare 735 ml of a majic drink The recipe contains of watermelon juice coconut water and potion in a ratio of 21:11:3 If the wizard has 300 ml of potion how many millimeter of potion will be unused? PLSS HELP QUICK
the wizard will have 237 millimeters of potion left unused.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, A wizard need to prepare 735 ml of a magic drink, The recipe contains of watermelon juice coconut water and potion in a ratio of 21:11:3.
This means that for every 21 parts of watermelon juice, there are 11 parts of coconut water and 3 parts of potion.
Let's assume that the total volume of the magic drink is 21x + 11x + 3x = 35x, where x is a constant that represents the ratio factor.
To find the actual volume of the magic drink, we need to solve for x using the given total volume of 735 ml:
35x = 735
x = 21
This means that the actual volume of watermelon juice in the magic drink is 21x = 21 * 21 = 441 ml,
and the actual volume of coconut water is 11x = 11 * 21 = 231 ml.
Since the wizard has 300 ml of potion, which is more than the required 3x = 3 * 21 = 63 ml of potion for the magic drink,
the wizard only needs to use 63 ml of potion. Therefore, the unused portion of potion is:
300 ml - 63 ml = 237 ml
Thus, the wizard will have 237 millimeters of potion left unused.
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Determine the intercepts of the line. Do not round your answers. 7x-5=4y-6
x intercept: (_),(_)
y intercept: (_),(_)
Please help!
The intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)
How to determine the intercepts?The function is given as:
7x-5=4y-6
Set y = 0 to determine the x-intercept
7x - 5 = -6
Add 5 to both sides
7x = -1
Divide by 7
x = -1/7
Set x = 0 to determine the y-intercept
- 5 = 4y - 6
Add 6 to both sides
4y = 1
Divide by 4
y = 1/4
Hence, the intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)
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hola me gusta la matematicas
Answer:
that is spanish for "hello, i like mathimatics"
Step-by-step explanation:
it is
Answer: Do you want a translation? If you do, it says, "Hello, I like Mathematics."
Step-by-step explanation: I know spanish.
Look at the picture and answer pls!
Hurry.
Answer:
12
Step-by-step explanation:
36
6 6
3 2
2 1
48
6 8
2 4
2 2
1 2
GCF = 12
:D
If Ted reads 8 books in 4 months, how many books does Ted read in 1 month?
Sophia for the exponential function f left parenthesis x right parenthesis equals 5 times 2 to the power of x, what is the value of f left parenthesis 3 right parenthesis?
The value of f left parenthesis 3 right parenthesis is 45.
According to the statement
We have given that the F(x) = 5(x)^2
and we have to find the value when Sophia have a 3 right parenthesis.
So, Parenthesis are used in mathematical expressions to denote modifications to normal order of operations.
And now we have to find the value for 3 right parenthesis
And for this purpose we have to put the value X= 3 in the f(x) then
F(x) = 5(x)^2
F(3) = 5(3)^2
F(3) = 5*9
F(3) = 45.
here the value of 3 right parenthesis is 45.
So, The value of f left parenthesis 3 right parenthesis is 45.
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decide if the first number is a factor or the second number with a yes or no.
a. 9; 74,520
b, 3; 876
4(x + 1) = 28
Multi step
Answer:
x = 6
Step-by-step explanation:
Pardon the bad handwriting
pls helppppplppkllllll
Answer:
A
Step-by-step explanation:
The two angles add up to 90 degrees
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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gena cat lost 5 pounds. it now weighs 12 pounds. Write and solve an equation to find the cat’s orginal weight
Answer: 17
Step-by-step explanation: 5 + 12 = 17
12+5=17
12 (The cats weight right now)
+5 (Adding the weight it lost)
17 (The cat's original weight)
Hope this helps!
May I please have brainliest? :D
for breakfast you eat a bowl of oatmeal and 1/4 cup of added raisins, for lunch, a turkey sandwich and a glass of fresh orange juice. how many servings of fruit and cereal have you had?
For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.
For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.
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FIND THE VALUE OF x and y if JKL~WYZ
Answer:
x = 21
y = 65
Step-by-step explanation:
L = Z = 44
J = W
4x - 13 = 71
4x = 84
x = 21
J + K + L = 180
71 + K + 44 = 180
115 + K = 180
K = 65
Y = K
Therefore, y = 65