Answer:
x = 14
Step-by-step explanation:
21x + 6 = 300
- 6 - 6
21x = 294
/ 21 / 21
x = 14
Answer:
The answer is x=14
Step-by-step explanation:
21x+6=300
21x+6-6=300-6
21x=294
To find x divide both sides by 21.
21x÷21=294÷21
x=14
Can you use exactly 121 squares to create a critter in this pattern?
Answer:
No
Step-by-step explanation:
There are 9 squares in the first critter. So, 121/9=13.44444 and so on. Since the outcome is not a whole number, this means you can not fit exactly 121 squares in that pattern.
The actual marked price of the stove is $2400. This includes a sales tax of 12.5%. Calculate the selling price of the stove if no sales tax is included.
Answer: $2100
Step-by-step explanation:
Since 12.5 percent of 2400 is 300, Just subtract 300 from 2400 to get the selling price with no sales tax. And the final answer is $2100.
Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) convert the answers of (a)â(c) to mev/c.
The momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
For given question,
We need to calculate the momentum of a proton moving with a given speed.
We know that, the equation for relativistic momentum is,
\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)
We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg
(a) For particle moving with speed 0.010c
v = 0.010c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)
(b) For particle moving with speed 0.50c
v = 0.50c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)
(c) For particle moving with speed 0.90c
v = 0.90c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)
Now, we need to convert answers into MeV/c
1 MeV = 1.6 × 10^(-13) kg.m²/s²
⇒ 1 kg.m²/s² = 625 × 10^(10) MeV
1 c = 299,792,458 m/s
⇒ 1 m/s = 3.3356E-9 c
So, 1 kg. m/s = 1.8737259e+21 MeV/c
(a) For p = 5.016 × 10^(-21) kgms^{-1}
⇒ p = 5.016 × 10^(-21) × 1.8737259e+21
⇒ p = 9.398 MeV/c
(b) For p = 2.89 × 10^(-19) kgms^{-1}
⇒ p = 2.89 × 10^(-19) × 1.8737259e+21
⇒ p = 541.5 MeV/c
(c) For p = 23.73 × 10^(-19) kgms^{-1}
⇒ p = 23.73 × 10^(-19) × 1.8737259e+21
⇒ p = 4446.35 MeV/c
Therefore, the momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
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#3 What is the pace for each of the lines below? Write equations for each line.
time (minutes)
48
40
32
24
16
(1,4),
(4,16)
(1,3)
2
4
(4, 12)
(10,40)
6
8
distance (miles)
10
(10, 30)
12
14
Answer:
y = 4x the pace is 4 minutes per mile
y = 3x the pace is 3 minutes per mile.
Step-by-step explanation:
The equation for the top graph is:
y = 4x You find this by taking any point and putting it in the form y/x For example the point (4,16) would be 16/4 = 4 or the point (10,40) would be 40/10 = 4. The only point that you cannot use is the point (0,0)
and the equation for the bottom graph is:
y = 3x
The pace of the first equation is 4 minutes for each mile and the second equations pace is 3 minutes for each mile.
Tim rents an apartment for $900 per month, pays his car payment of $450 per month, has utilities that cost $330 per month and spends $476 per month on food and entertainment. Determine Tim's monthly expenses. (show all work and write answers in complete sentances)
Tim's monthly expenses amount to $2,156. So, the correct answer is $2,156.
To determine Tim's monthly expenses, we add up the costs of his rent, car payment, utilities, and food/entertainment expenses.
Rent: Tim pays $900 per month for his apartment.
Car payment: Tim pays $450 per month for his car.
Utilities: Tim's utilities cost $330 per month.
Food/entertainment: Tim spends $476 per month on food and entertainment. To find Tim's total monthly expenses, we add up these costs: $900 + $450 + $330 + $476 = $2,156.
Therefore, Tim's monthly expenses amount to $2,156.
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the measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. (a) use differentials to approximate the possible propagated error in computing the volume of the cube. (b) use differentials to approximate the possible propagated error in computing the surface area of the cube.
The approximated possible propagated error in computing the volume of the cube is 20.25 .
The approximated possible propagated error in computing the surface area of the cube is 5.4.
The formula's for volume and surface area of cube is as follows,
\(V=a^3\\S=6a^2\)
Where a is the side of the cube.
When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.
The error in the edge of the cube is 0.03 inch, so
\(a=15\pm0.03\)
Δa=0.03 inches
Now, differentiating the volume function of cube,
\(\frac{dV}{da} =3a^2\\dV=3a^2da\)
Putting the values,
Δ\(dV=3(15)^2\times0.03\\dV=20.25\)
Now, differentiating the surface area function of cube,
\(\frac{dS}{da}=12a\)
Putting the values,
\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)
Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.
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A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use
Answer:
56
Step-by-step explanation:
48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.
PLS HELP ME I ADDED MORE POINTS
Answer: D. (-6,2)
Step-by-step explanation:
y = x + 8
2x + y = -10
v
2x + x +8 = -10
x = -6
y = -6 + 8 ( plug in x (-6) )
y = 2
( x, y) = ( -6, 2)
Select the correct answer from each dropdown menu. Getting ready for a big car race, Kenna decided to make five racing flags to put at each turn of the racetrack. Kenna sketched the flag design in a coordinate plane to help determine how much material she will need for the flag. Assuming each grid mark represents a foot, how much material will Kenna need to make each flag and all five flags?
Kenna will need square feet of material for one flag. Thus, Kenna will need square feet of material to make all five flags
Kenna will need 20 square feet of material for one flag. Thus, Kenna will need 100 square feet of material to make all five flags.
To determine the amount of material Kenna will need to make each flag and all five flags, we need to calculate the area of one flag and then multiply by five. Kenna's flag design is sketched on a coordinate plane, and assuming each grid mark represents a foot, we can count the number of squares enclosed by the flag design to determine its area. Counting the squares, we find that the flag design encloses 20 squares, which means that each flag will require 20 square feet of material. Multiplying 20 by 5, we find that Kenna will need a total of 100 square feet of material to make all five flags. Therefore, Kenna should purchase 100 square feet of material to make the racing flags for the car race.
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How much material will Kenna need to make each flag and all five flags?
Answer:
Kenna will need 3 square feet of material for one flag. Thus, Kenna will need 15 square feet of material to make all five flags.
Step-by-step explanation:
i saw it in a dream.........
John’s family is planning a road trip to Florida.John is using the following information to help plan the trip.total distance(one way)is 1,023 miles.the average driving speed is 60 miles per hour.and driving time on the first day is 10 hours.base on the information how many miles will his family travel on the first day?
John's family will travel 600 miles on the first day of their road trip to Florida.
What is the number of miles johns family will travel on first day?To find the number of miles John's family will travel on the first day, we can use the formula:
distance = speed x time
We know that the total distance of the trip is 1,023 miles and the average driving speed is 60 miles per hour. So, if we can find the driving time on the first day, we can calculate the distance traveled on the first day.
We are given that the driving time on the first day is 10 hours. Therefore, the distance traveled on the first day can be found by:
distance = speed x time
distance = 60 miles/hour x 10 hours
distance = 600 miles
So, John's family will travel 600 miles on the first day of their road trip to Florida.
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9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.
Answer:
Circumference is 43.982 cm
Step-by-step explanation:
\(circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm\)
\({ \underline{ \tt{ ‡†‡ \: \: trent008}}}\)
QUESTION OF THE DAY: What is the perimeter (in ft) of the rectangle? Please click on the image below to find the answer ( Remember is what you will use: (2w+2l)
Answer:
26ft
Step-by-step explanation:
2(3)+2(10)=
6+20=26ft
A triangular prism. Rectangle A has a base of 14 meters and height of 8 meters. Rectangle B has a base of 14 meters and height of 6 meters. Rectangle C has a base of 14 meters and height of 10 meters. Triangles D and E have a base of 6 meters and height of 8 meters.
Which statements about the area of the faces of the triangular prism are true? Select all that apply.
Area of face A = 112 m2.
Area of face B = 60 m2.
Area of face C = 140 m2.
Area of face E = area of face D.
Area of face A = area of face C.
Answer:
a c d
Step-by-step explanation:
Answer:
ACD
Step-by-step explanation:
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
During a lab experiment, the temperature of a liquid changes from 625°F to 1034°F.
What is the percent of increase in the temperature of the liquid?
Enter your answer in the box as a percent rounded to the nearest hundredth
Therefore, the percent increase in temperature is approximately 65.44%.
The percent increase in temperature, we need to find the difference between the initial and final temperatures, divide that by the initial temperature, and then multiply by 100 to get a percentage:
Calculate the variation between the initial and end values. Subtract the beginning value from its absolute value. Add 100 to the result.
Even in a low-emission scenario, the earth is predicted to rise by two degrees Celsius by 2050, suggesting that we might not be able to keep the Paris Agreement. Compared to the average temperature between 1850 and 1900, the global temperature has increased by 1.1°C.
percent increase = ((final temperature - initial temperature) / initial temperature) x 100
In this case:
percent increase = ((1034 - 625) / 625) x 100
percent increase = (409 / 625) x 100
percent increase = 65.44%
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Why isn’t x+9y^2=1 a linear equation
Answer:
See explanation below
Step-by-step explanation:
This equation is not a linear equation because you are squaring a variable. If you square a variable it is not linear anymore but a quadratic. A linear equation is a line with a constant amount of growth all the time, but if you square the variable it will grow/dip exponentially
If ⅆyⅆt=6e−0. 08(t−5)2, by how much does y change as t changes from t=1 to t=6 ?
(A) 3. 870 (B) 8. 341 (C) 18. 017 (D) 22. 583
Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).
To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.
∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\) dt
We can use the substitution u = t - 5 to simplify the integral:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du
Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870
Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).
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Please help me which one is correct please help me fast answer if you can please
Answer:
C. 2mn and mn^2
Step-by-step explanation:
All of the other options are like terms.
Option A: -x+3x=2x
Option B: 4a+7a=11a
Option D. 3p^2q+(-p^2q)=2p^2q
Option C: These terms are not like terms since 2mn is not squared while mn^2 is squared.
Hence,
the correct option would be C.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
The thrid option or 2mn and mn^2
Step-by-step explanation:
Like terms are sets of terms that have the same variables and powers. All these answer choices have the same variables but answer c are not like terms because the second term is raised to the power of 2 and the first is not. Coefficients do not matter for like terms.
The radius of a circle is 15 m. Find its area in terms of
π.
Answer:
A = 225\(\pi\) or A = 706.858
Step-by-step explanation:
The formula to find the area of a circle is A=\(\pi r^{2}\), with r being the radius.
In this case, 15 is your radius, so you just replace r with 15, like so:
A=\(\pi 15^{2}\), then simplify \(15^{2}\)
A = \(225\pi\)
From here you can leave the answer in its exact form, \(225\pi\), or you can simplify it by multiplying 225 times pi. In that case, your answer would be: 706.858 (rounded to the thousanths place).
If radius of a circle is 15 m then the area of circle is 225π square units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that radius of a circle is 15m.
We have to find the area of the circle.
The formula for area of the circle is A=πr²
Given r is 15
Substitute r=15 in the area formula.
A=π(15)²
=π×15×15
=225π
Hence, if radius of a circle is 15 m then the area of circle is 225π square units.
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SOS pls IM BEGGING I NEED HELP!!!!!!!!!!!!!!!!!
The ∠3+ ∠1 = 90°. in the given figure are the same just using the properties of Vertically angles.
What is Vertically opposed angles?
Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.
∠1 and ∠2 are vertical angles, which means ,
∠1 =∠2
Given in the question is ∠3+ ∠2 = 90
As both ∠1 and ∠2 are the same so we can write ∠3+ ∠1 = 90°.
Hence, The ∠3+ ∠1 = 90°. in the given figure are same.
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If f(x)=x^2 is vertically stretched by a factor of 8 to g(x), what is the equation of g(x)?
A. g(x)= (1/8x)^2
B. g(x)= 8x^2
C. g(x)= (8x)^2
D. g(x)= 1/8x^2
Answer: 3x
Step-by-step explanation: just need points
GEOMETRY HELP COSINE, SINE TANGENT
please help y’all i have no idea what i am doing
Answer:
31.33 degrees
Step-by-step explanation:
The question is asking to find angle x. You can use sine to find out x because sine is opposite/hypotenuse but since you are finding an angle measurement, it would be to the power of -1. So:
sine^-1=13/25
31.33
Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?
Answer:
cashier
Step-by-step explanation:
the discount is $7.50
find the volume of the solid bounded by the paraboloid z = 2 − 4x2 − 4y2 and the plane z = 1.
To find the volume of the solid bounded by the paraboloid and the plane, we need to determine the limits of integration for x, y, and z.
The paraboloid is given by z = 2 - 4x^2 - 4y^2, and the plane is given by z = 1. We want to find the volume of the region where z is between the paraboloid and the plane, which means 1 ≤ z ≤ 2 - 4x^2 - 4y^2.
To determine the limits of integration for x and y, we need to find the boundaries of the region in the xy-plane where the paraboloid intersects the plane z = 1.
Setting z = 1 in the equation of the paraboloid, we have:
1 = 2 - 4x^2 - 4y^2
Simplifying, we get:
4x^2 + 4y^2 = 1
Dividing by 4, we have:
x^2 + y^2 = 1/4
This represents a circle centered at the origin with radius 1/2.
In polar coordinates, we can parameterize the circle as:
x = (1/2)cosθ
y = (1/2)sinθ
Now we can set up the integral to find the volume:
V = ∫∫∫ dz dA
The limits of integration for z are from z = 1 to z = 2 - 4x^2 - 4y^2.
The limits of integration for x and y are from -1/2 to 1/2 (since the circle has radius 1/2).
Therefore, the integral becomes:
V = ∫(∫(∫(1 to 2 - 4x^2 - 4y^2) dz) dA)
Converting to polar coordinates, the integral becomes:
V = ∫(∫(∫(1 to 2 - 4r^2) r dz) dr dθ)
Evaluating the innermost integral with respect to z, we get:
V = ∫(∫((2 - 4r^2 - r) dr) dθ)
Next, we integrate with respect to r:
V = ∫(2r - (4/3)r^3 - (1/2)r^2) dθ
Finally, we integrate with respect to θ from 0 to 2π:
V = ∫(2r - (4/3)r^3 - (1/2)r^2) dθ, θ = 0 to 2π
Evaluating this integral will give us the volume of the solid bounded by the paraboloid and the plane.
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(5y-23)
(2x+13)
(3x)
47*
can someone please help with this!
Answer:
a. -8
b. 29
d. -22
e. -80
g. 0
h. 3
Step-by-step explanation:
hope it helps
Can someone please help me with only one math problem?
Haley clapped 250 times in one minute. Write and solve a proportion to find the number of claps in 5 seconds
Answer:
250÷60 S= 4.16
Step-by-step explanation:
Approximately 21 times
8)864 6)3810 9)5319 they’re all separate pls help
Answer:
8 divided by 864 = 108
6 divided by 3810 = 635
9 divided by 5319 = 591
Step-by-step explanation:
Hope this helped have an amazing day!
For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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