Answer:
D. 28 hours
Step-by-step explanation:
8x+20=244
8x=224
x=28
suppose you are asked to find three real numbers such that the sum of the numbers is 12, the sum of two times the first plus the second plus two times the third is 5, and the third number is one more than the first. find (but do not solve) a linear system whose equations describe the three conditions
4x + y = 3 and y = 3 - 4x is used To find three real numbers that satisfy the given conditions, we can set up a system of linear equations.
Let x, y, and z be the three real numbers we are trying to find. Then we have:
x + y + z = 12, since the sum of the three numbers is 12.
2x + y + 2z = 5, since the sum of two times the first plus the second plus two times the third is 5.
z = x + 1, since the third number is one more than the first.
Equation 1 represents the sum of the three numbers, equation 2 represents the relationship between the numbers given in the second condition, and equation 3 represents the relationship between the first and third numbers given in the third condition.
To solve this system of linear equations, we can use any of the standard methods, such as substitution or elimination. For example, we can use substitution to eliminate z from the first two equations:
x + y + (x+1) = 12
2x + y + 2(x+1) = 5
Simplifying the second equation, we get:
4x + y = 3
We can then use this equation to solve for y in terms of x:
y = 3 - 4x
We can then substitute this expression for y into either of the first two equations to eliminate y and solve for x and z. Once we have x, y, and z, we can verify that they satisfy all three conditions given in the problem.
In summary, we can set up a system of linear equations to find three real numbers that satisfy the given conditions, and we can solve this system using standard methods to find the values of x, y, and z.
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8. Let f:Z→Z and g:Z→Z be defined by the rules f(x)=(1−x)%5 and g(x)=x+5. What is the value of g∘f(13)+f∘g(4) ? (a) 5 (c) 8 (b) 10 (d) Cannot be determined.
We are given that f: Z → Z and g: Z → Z are defined by the rules f(x) = (1 - x) % 5 and g(x) = x + 5.We need to determine the value of g ◦ f(13) + f ◦ g(4).
We know that g ◦ f(13) means plugging in f(13) in the function g(x). Hence, we need to first determine the value of f(13).f(x) = (1 - x) % 5Plugging x = 13 in the above function, we get:
f(13) = (1 - 13) % 5f(13)
= (-12) % 5f(13)
= -2We know that g(x)
= x + 5. Plugging
x = 4 in the above function, we get:
g(4) = 4 + 5
g(4) = 9We can now determine
f ◦ g(4) as follows:
f ◦ g(4) means plugging in g(4) in the function f(x).
Hence, we need to determine the value of f(9).f(x) = (1 - x) % 5Plugging
x = 9 in the above function, we get:
f(9) = (1 - 9) % 5f(9
) = (-8) % 5f(9)
= -3We know that
g ◦ f(13) + f ◦ g(4)
= g(f(13)) + f(g(4)).
Plugging in the values of f(13), g(4), f(9) and g(9), we get:g(f(13)) + f(g(4))=
g(-2) + f(9)
= -2 + (1 - 9) % 5
= -2 + (-8) % 5
= -2 + 2
= 0Therefore, the value of g ◦ f(13) + f ◦ g(4) is 0.
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dy dx = xy 7x − y − 7 xy − 2x 8y − 16
The solution to the differential equation e^x y = 1/2 x^2 y + 7x^2/2 - 7ln|y/2 + 1| + C
The given differential equation is: dy/dx = xy + 7x - y - 7/(xy - 2x + 8y - 16)
To solve this equation by separation of variables, we need to separate the variables y and x on different sides of the equation and integrate both sides with respect to their respective variables.
First, we will move the y term to the left-hand side of the equation and factor the denominator on the right-hand side:
dy/dx + y = xy + 7x - 7/(xy - 2x + 8y - 16)
dy/dx + y = xy + 7x - 7/[(y/2 + 1)^2 - 1]
Next, we will multiply both sides of the equation by e^x to get:
e^x dy/dx + e^x y = xe^x y + 7xe^x - 7e^x/[(y/2 + 1)^2 - 1]
Now we can use the product rule for differentiation and integrate both sides with respect to x:
d/dx [e^x y] = xe^x y + 7xe^x - 7e^x/[(y/2 + 1)^2 - 1]
∫ d/dx [e^x y] dx = ∫ [xe^x y + 7xe^x - 7e^x/[(y/2 + 1)^2 - 1]] dx
e^x y = 1/2 x^2 y + 7x^2/2 - 7ln|y/2 + 1| + C
where C is the constant of integration.
Therefore, the solution to the differential equation dy/dx = xy + 7x - y - 7/(xy - 2x + 8y - 16) is:
e^x y = 1/2 x^2 y + 7x^2/2 - 7ln|y/2 + 1| + C
where C is the constant of integration.
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Your question is incomplete but probably the full question was:
Solve The Given Differential Equation By Separation Of Variables. Dy/Dx = Xy + 7x - Y - 7/Xy - 2x + 8y - 16
Simplify the expression.
4 (2m— 6) — Зp — 2m+8
А. 6m— 3р — 16
В. Зmp — 16
с. 6m — Зp +2
D. 6m — 13
E. 4m — Зp – 2
Answer:
A. 6m - 3p - 16
Step-by-step explanation:
please help asap
What is the area of this figure?
Enter your answer in the box.
The area of the given figure which consists of a rectangle, square and a triangle = 28mm²
How to calculate the area of the figure?The area of the given figure can be calculated by addition of the various shapes that makes up the figure such as:
Area of the square= length× width
where length = 4mm
width = 3 mm
Area of the square = 4×3 = 12mm²
Area of the rectangule= length× width
where length = 1mm
width = 6mm
Area of the square = 1×6 = 6mm²
Area of triangle = 1/2 base ×height
where base = 6-1 = 5mm
height= 4mm
Area of triangle = 1/2 × 5 × 4 = 10 mm²
Therefore the area of the given figure = 12+6+10 = 28mm²
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Which ones are the right answer?
Answer:
D and E
Step-by-step explanation:
When solving, the left side and right side have to be the same.
D) 3(x - 1) = 3x - 3
use the distributive property on the left
3x - 3 = 3x - 3
E) 2x + 2 = 2(x + 1)
use the distributive property on the right
2x + 2 = 2x + 2
A trough is 18 m long and its ends have the shape of isosceles triangles that are 8 m across the top and have a height of 3 m. Water is being drained from it at a rate of 12 m3/min. Find the rate at which the height of the water in the tank is changing when the height of the water is 1 m.
The rate at which the height of the water in the trough is changing when the water's height is 1 meter is approximately 0.0833 meters per minute.
Let's denote the height of the water in the trough as 'h' (in meters) and the time as 't' (in minutes). We are given that the trough is 18 meters long and its ends have the shape of isosceles triangles with a top width of 8 meters and a height of 3 meters.
The volume of the trough can be calculated using the formula for the volume of a triangular prism: V = (1/2) * base * height * length. In this case, the base of the triangle is 8 meters, the height is h, and the length is 18 meters. Therefore, the volume V of water in the trough is V = (1/2) * 8 * h * 18 = 72h.
We are given that the water is being drained from the trough at a rate of 12 m³/min. Therefore, the rate of change of volume with respect to time (dV/dt) is -12 m³/min. To find the rate at which the height of the water is changing, we need to calculate dh/dt. We can use the chain rule of differentiation:
dV/dt = dV/dh * dh/dt
We know that dV/dt = -12 m³/min, and we can differentiate V = 72h with respect to h to find dV/dh, which is 72.
-12 = 72 * dh/dt
Simplifying the equation, we find:
dh/dt = -12/72 = -1/6 = -0.1667 m/min
So, when the height of the water is 1 meter, the rate at which the height of the water is changing is approximately 0.0833 meters per minute.
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This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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Consider y = - 8x
Complete the table for the equation.
X y
-1 ?
0 ?
1 ?
The radius of a circle is decreasing at a constant rate of 3 inches per minute. At the instant when the radius of the circle is 8 8 inches, what is the rate of change of the area? Round your answer to three decimal places.
The rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.
What is rate of change of the area?The rate of change of the area is the rate at which the area is increasing or decreasing over a given period of time. It is calculated by taking the difference between the initial and final area values and dividing it by the amount of time it took for the change to occur.
For example, if the area of a square increases from 10 square meters to 12 square meters over a period of two days, then the rate of change of the area would be (12-10)/2 = 1 square meter per day.
The rate of change of the area of a circle is equal to the negative of the product of the rate of change of the radius and the square of the radius. The rate of change of the radius is given as -3 inches per minute, and the radius is given as 8 inches. So, the rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.
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the midpoint of AB is M(−3,2). If the coordinates of A are−7,1), what are the coordinates of B?
answer pls
Answer:
B = (1,3)
Step-by-step explanation:
(- 7 + x)/2 = -3
-7 + x= -3 * 2
x = -6 + 7
x = 1
(1 + y)/2 = 2
1 + y = 2*2
y = 4 - 1
y = 3
The diagrams below are not drawn to scale. If each diagram were drawn to scale, list down the angles in order from largest to smallest.
The angles in order from largest to smallest:
a. ∠D > ∠B >∠A
b. Can not be determined as no information is given
a. Triangle DAB with sides DA = 8cm, AB = 13cm and BD = 7cm.
A triangle's longest side is opposite the largest interior angle, while its shortest side is opposite the smallest interior angle. As a result, it is possible to arrange triangle angles in order from largest to smallest using only the provided length measurements, even if you don't know the angles.
To arrange the angles from largest to smallest, start by identifying the largest side, AB = 13cm, the largest angle is then ∠D which is opposite to side AB.The next largest angle can then be found by finding the second largest side AD = 8cm, the second largest angle is then ∠B which is opposite to side AD.The shortest angle ∠A will be opposite to the shortest side, DB = 7cm.b. We need to know the side lengths of a triangle in order to determine the order of the angles. As there is no information given, we can not determine the order.
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The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a treatment is applied. fill out the table, giving the area covered by the algae in square meters d days after the treatment is applied. all answers can be rounded to the nearest tenth.
The area covered by the algae in square meters d days after the treatment is applied can be calculated using the formula A = A0 * e^(-k*d), where A is the final area covered by the algae, A0 is the initial area covered by the algae, e is the base of the natural logarithm, k is the decay constant, and d is the number of days after the treatment is applied.
To fill out the table, you will need to plug in different values for d into the formula and calculate the corresponding values for A. Start with the initial area covered by the algae, A0, and then use the formula to calculate the area covered by the algae for each subsequent day, d. Round the values to the nearest tenth.
For example, if A0 is 100 square meters and k is 0.05, you can calculate the area covered by the algae after 1 day by plugging in d = 1 into the formula:
A = 100 * e^(-0.05*1) = 100 * e^(-0.05) ≈ 100 * 0.951 ≈ 95.1 square meters
Repeat this calculation for different values of d to fill out the table. Remember to round the values to the nearest tenth.
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A cylindrical container with a radius of 6 cm and a height of 10 cm is filled with water to a depth of 6 cm. A sphere with a radius of 3 cm is placed at the bottom of the container.
a) What is the volume of the water to the nearest tenth?
b) What is the volume of the sphere to the nearest tenth?
c) How much higher does the water level rise in the container, to the nearest tenth, after the
sphere is placed inside?
Answer:
a. 452.4 cm³ to the nearest tenth b. 113.1 cm³ to the nearest tenth
c. 5.0 cm to the nearest tenth
Step-by-step explanation:
a. The volume of the water V₁ = πr²h since it is in a cylindrical container. r = 6 cm and h = 10 cm - 6 cm = 4 cm (since it is filled to a depth of 6 cm measuring from the top, so we have a height from the bottom of 10 cm - 6 cm = 4 cm).
So, V₁ = πr²h
= π × (6 cm)² × 4 cm
= 452.39 cm³
= 452.4 cm³ to the nearest tenth
b. The volume of the sphere V₂ = 4πr³/3 where r = radius of sphere = 3 cm.
V₂ = 4πr³/3
= 4π(3 cm)³/3
= 113.1 cm³ to the nearest tenth
c. When the sphere is placed in the container, the new volume of water in the container would be V = V₁ + V₂
So V = 452.4 cm³ + 113.1 cm³ = 565.5 cm³
Since the volume of water is still the volume of a cylinder, its height h is
h = V/πr²
= 565.5 cm³/π(6 cm)²
= 5.0 cm to the nearest tenth
what is the codes for matlab
3. Write a function named 'age' that takes the year of birth from a user and output the age in years.
MATLAB is a high-level programming language used for numerical computing, data analysis, and visualization. It includes built-in functions that can help users to solve a variety of problems. In MATLAB, codes can be written in the editor and then run in the command window.
To write a MATLAB function named 'age' that takes the year of birth from a user and outputs the age in years, you can follow these steps:
Open the MATLAB editor and create a new function by clicking on "New" and selecting "Function."
Name the function 'age' and specify the input argument, which in this case is the year of birth.
Write the function code that calculates the age in years using the current year (which can be obtained using the built-in function 'year') and the input year of birth.
Use the 'disp' function to output the age in years to the command window.
The complete function code would look like this:
function [age] = age(year_of_birth)
current_year = year(datetime('now'));
age = current_year - year_of_birth;
disp(['The age is ' num2str(age) ' years.']);
end
The input argument 'year_of_birth' is used to store the year of birth entered by the user. The 'year' function is used to get the current year. The age is then calculated by subtracting the year of birth from the current year. Finally, the 'disp' function is used to output the age in years to the command window.
This explanation of writing a MATLAB function named 'age' that calculates and displays the age in years based on the year of birth
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y=? what does this even meannnnn
The calculated measure of angle y is 60 degrees
How to calculate the value of yfrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
The shape can be divided into two triangles such that
Each triangle is an equilateral triangle
The measure of an angle in an equilateral triangle is 60 degrees
using the above as a guide, we have the following:
y = 60
Hence, the value of y is 60 degrees
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for f(x)=x^2,sketch the graph of g(x)=f(-5x+10)
The graph of g(x) = f(-5x+10) is given in the figure.
What is a graph?A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.
It is given that f(x) = x^2
and g(x ) = f(-5x+10)
Now putting the value of f(x) in g(x) we get,
g(x) = f(-5x+10) = (-5x+10)^2
So, g(x) = (-5x+10)^2
now, making the table for g(x),
x g(x)
0 100
1 81
2 0
3 25
4 100
5 225
Hence,the graph of g(x) = f(-5x+10) is given in the figure.
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Is there such thing as kidney insurance?
Answer:
yes there is
Step-by-step explanation:
PLEASE PLEASE HELP!!! i’m struggglingggg
Find the area lying outside r=2cosθ and inside r=1 cosθ
The area lying outside r=2cosθ and inside r=1 cosθ area is given as - (3/2) π.
We can find the area lying outside r = 2cosθ and inside r = 1 cosθ area can be determined by subtracting the area enclosed by r=2cosθ from the area enclosed by r=1 cosθ and setting the limit of integration to 0 and 2π.
We can find The area enclosed by r=1 cosθ by integrating the given equation by limits of 0 and 2π and the equation can be given as:
= 1/ 2×∫[0 2π] (1cosθ)²dθ
= 1 / 2π
We can find The area enclosed by r=2cosθ by integrating the given equation by limits of 0 and 2π and the equation can be given as
= 1 / 2 ∫[02π](2cosθ)²dθ
= 2π
By subtracting the area enclosed by r = 1 cosθ from the area enclosed by r=2cosθ we can get the area lying outside r=2cosθ and inside r=1 cosθ is 1 / =1 / 2π - 2 π
= - 3/2π
Therefore, The area lying outside r=2cosθ and inside r=1 cosθ is - 3/2π
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Can someone please help , ASAP.
Answer:
The Pythagorean Theory is A²+B²=C²
Step-by-step explanation:
C is always the longest side so we know what A and B are, So 7²(49)+5²(25)=74 so we know that C=74 now since we squared to find that answer we have to find the square ROOT of C √74= is rounded to 8.6 or 9
Terry's house is 32 feet wide and the peak of the roof line is at 24 feet. write the absolute value equation to model the roof line
The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:
y = |x - h| + k
where (h, k) represents the vertex of the absolute value graph.
In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.
Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
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PLEASE HELP ASAP CANT MOVE ON
What is the scale factor of LaTeX: \triangle ABC\:to\:\triangle DEC? Be sure to simplify your answer!
answers:
2/7
10/21
3/14
5/14
Answer:
\(\frac{2}{7}\)
Step-by-step explanation:
Triangle ABC is similar to triangle DEC, because all angles in one triangle are equal to angles in the other triangle.
That means that corresponding sides have the same ratio. Side AB and side DE are corresponding sides. Since there are no unknowns we can calculate the ratio (scale factor).
Since we are looking for scale factor of triangle DEC to triangle ABC, we put side AB (which is in triangle ABC) in the numerator.
\(\text{scale factor} = \frac{\text{AB}}{\text{DE}} = \frac{6}{21} = \frac{2}{7}\)
I've marked corresponding sides and angles in the attached picture.
Moving to another question will save this response. 6 Question 2 of 8 Question 2 9 points Save Antwer On January 1, 2020, Sitra Company leased equipment from National Corporation. Lease payments are $300,000, payable annually beginning on January 1, 2020 for 201 years. The lease is non-cancelable. The following information pertains to the agreement: 1. The fair value of the equipment on January 1, 2020 is $2,550,000. 2. The estimated economic life of the equipment was 25 years on January 1, 2020 with guaranteed residual value of $75,000. 3. The lease is non-renewable. At the termination of the lease, the equipment reverts to the lessor. 4. The lessor's implicit rate is 10% which is known to Sitra. Sitra's incremental borrowing rate is 12% ( The PV of $1 for 20 periods at 10% is 0.14864 and the PV for an ordinary annuity of $1 for 20 periods at 10% is 8.51356) 5. Sitra uses straight-line method for depreciation. Instructions: A) Compute the present value of minimum lease payments B) Prepare all necessary journal entries on the lessee's books for the year 2020. For the toolbar, press ALT+F10 (PC) or ALT-FN-F10 (Mac)
The present value of the minimum lease payments is $2,999,251.92.
To compute the present value of minimum lease payments, we need to calculate the present value of the annual lease payments using the lessor's implicit rate.
Given information:
Lease payments: $300,000 per year for 201 years
Lessor's implicit rate: 10%
Using the formula for the present value of an ordinary annuity, we can calculate the present value of the lease payments:
PV = Payment × [(1 - (1 + r)⁻ⁿ/ r]
Where:
Payment = $300,000 (annual lease payment)
r = 10% (lessor's implicit rate)
n = 201 (number of lease payments)
Plugging in the values, we have:
PV = $300,000 × [(1 - (1 + 0.10)⁻²⁰¹ / 0.10]
Calculating this expression will give us the present value of the minimum lease payments.
PV = $300,000 × [(1 - 0.000249693) / 0.10]
PV = $300,000 × [0.999750307 / 0.10]
PV = $300,000 × 9.99750307
PV = $2,999,251.92
Therefore, the present value of the minimum lease payments is $2,999,251.92.
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Moving to another question will save this response. 6 Question 2 of 8 Question 2 9 points Save Antwer On January 1, 2020, Sitra Company leased equipment from National Corporation. Lease payments are $300,000, payable annually beginning on January 1, 2020 for 201 years. The lease is non-cancelable. The following information pertains to the agreement: 1. The fair value of the equipment on January 1, 2020 is $2,550,000. 2. The estimated economic life of the equipment was 25 years on January 1, 2020 with guaranteed residual value of $75,000. 3. The lease is non-renewable. At the termination of the lease, the equipment reverts to the lessor. 4. The lessor's implicit rate is 10% which is known to Sitra. Sitra's incremental borrowing rate is 12% ( The PV of $1 for 20 periods at 10% is 0.14864 and the PV for an ordinary annuity of $1 for 20 periods at 10% is 8.51356) 5. Sitra uses straight-line method for depreciation. Instructions:
Compute the present value of minimum lease payments
Is (-4, 15) a solution to the equation y = -2x + 5? How do you know (PLEASE EXPLAIN HOW YOU KNOW)?
Answer:
Not a solution.
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
y = -2x + 5
Solution (-4, 15)
Step 2: Check
Substitute: 15 = -2(-4) + 5Multiply: 15 = 8 + 5Add: 15 ≠ 13Here we see that 15 is NOT equal to 13. Therefore, it is NOT a solution to the equation.
Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
Answer:
see explanation (please confirm if I read you problem correctly)
Step-by-step explanation:
150 kilometers
60 kph
tank is 20 liters
6 km/l
150/6 = 25 liters needed
$60/l
you will need to get 5 more liters of fuel
total cost 25 x .60 = $15
Answer:
AHHHHH I think its two hours
Step-by-step explanation:
she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours
Please helpp, thank youuu.
Answer:
16ft
Step-by-step explanation:
use pythagreom thereom
12^2+b^2=20^2 solve
144+b^2=400
b^2= 256 square it
b= 16
Answer:
b=16
Step-by-step explanation:
A 5-kg concrete block is lowered with a downward acceleration of 2.8 m/s² by means of a rope. The force of the block on the rope is:
14N, up
14N, down
35 N. up
35 N, down
49 N, up
The force of the block on the rope is 35 N and it's downward. This force is acting downwards because the block is being lowered with a downward acceleration of `2.8 m/s²` by means of a rope.Thus, the correct option is 35 N. down.
The force of the block on the rope is the force due to gravity acting on it. This force is given by
`F=mg`,
where m is the mass of the block, g is the acceleration due to gravity and F is the force due to gravity acting on the block.In this case, the block is being lowered with a downward acceleration of
`2.8 m/s²`.
The acceleration of the block is given as
`a=2.8 m/s²`.
We need to find the force of the block on the rope. The force of the block on the rope is the force due to gravity acting on the block. The mass of the block is
`5-kg`.
Therefore, we can find the force due to gravity acting on the block as follows:
F = mg = 5 kg × 9.8 m/s² = 49 N
The force of the block on the rope is `49 N`.
This force is acting downwards because the block is being lowered with a downward acceleration of `2.8 m/s²` by means of a rope.Thus, the correct option is 35 N. down.
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Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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Help please if you can do it
Answer:
Associative property
Step-by-step explanation:
Sine the () was moved to another two numbers, it would be the Associative property of addition
Hope this helps :)