In the expression 2x + 5 at x = 3 Brett is wrong as the correct answer is 11.
What is an expression?An expression is written in the form of numbers and variables with arithmetic operations.
According to the given question we have to evaluate 2x + 5 at x = 3 and match our answer with Brett which is 41.
To obtain the value of 2x + 5 at x = 3, we have to substitute x with 3 in the given expression which is,
= 2(3) + 5
= 6 + 5.
= 11.
So, our answer is correct which is 11 and Brett is wrong.
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5
Match each expression with its quotient.
a. 5.2 10
b. 520 - 10²
c. 52 - 10³
d. 5,200 10¹
0.052
0.52
5.2
52
520
5,200
The appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-1 = 0.52
How to illustrate the information?It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.
In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.
Therefore, the appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-¹ = 0.52
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Solve the mass energy equivalence formula e=m c² for c .
(F) c=e²m
(H) c=√e/m
(G) c=√m/e
(I) c=√(e-m)
The correct option is (H) c=√e/m.
The solution for mass energy equivalence formula e=m c² for the value of c is c = √e/m.
What is termed as the mass energy equivalence?An equation deduced from Einstein's Special Theory of Relativity that expresses the correlation between the mass & energy of mass objects.
Some key features related to the mass energy equivalence are-
E = mc², where E is the object's energy in joules, m is its relativistic mass in kilograms, & c is the speed of light (approximately 3 X 10⁸ meters per second). The concept of mass-energy equivalence states that the total mass of a system can change while the total & total momentum stay unchanged; for instance, the collision of an electron & a proton shatters the mass of both particles while producing energy in the form of photons. The discovery of mass-energy equivalence was critical in developing a theory of atomic fission and fusion reactions.As per the given question, the expression is;
=> e = m c²
=> c² = e/m
Now, taking square root of both sides.
=> c=√e/m
Therefore, the value of the c derived from the mass energy equivalence formula e=m c² is c=√e/m.
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Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
Answer: he is 115 metters above sea level
Step-by-step explanation:
a) what is the value of the 8 in the number 24.387?
Gve your answer as a fraction. ???
Answer:8/100
Step-by-step explanation: you would count the placement value of the numbers after the decimal point
I need help with these problems.
Answer:
1. 4
2. 65
3. 4
4. 53
5. 14
Answer:
1.: 4 songs
2.: 65 dollars
3.: 4 cookies
4.: 53 cards
5.: 14 degrees
Step-by-step explanation:
1.: Split 40 songs evenly between 10 days. 40 divided by 10 equals 4.
2.: 160, the needed amount, minus 95, the amount already had, equals 65. 95+65=160.
3.: Split 32 cookies evenly between 8 people. 32 divided by 8 is 4.
4.: 200-147=53, so 147+53=200.
5.: -11-14=-25. Subtracting from a negative increases its absolute value, but it remains negative.
F = G
G
(m₁m₂)
d²
where F is the force between two objects of masses
m₁ and m₂, G is the gravitational constant, and dis
the distance between the two objects. Solve the
formula for m₁.
Answer:
The formula for mass m1 will be as M1 = Fr²/GM2.
What is Newton law of gravitation ?
According to newton's law , force between mass m₁ and m₂ at distance x is given by the following expression is;
F = G m₁m₂ / x²
Where F is the force between two masses m1 and m2 G is the gravitational constant and x is the distance between the two objects.
For Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2
To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows:
F = (G M1M2)/r²
By cross product;
Fr² = G M1M2
by dividing through by G M2; we have;
M1 = Fr²/GM2
The formula for mass m1 will be as M1 = Fr²/GM2.
If Amal can maintain that pace, how long will it take him to run 1 mile?
The time it would take Amal to run 1 mile if he maintains the pace is 12 minutes
From the question, we are to determine how long it would take Amal to run 1 mile
From the given information,
Amal can run 1\8 mile in 1 1\2 minutes.
First, we will calculate Amal's speed
Using the formula,
Speed = Distance/ Time
Then,
Amal's speed = 1/8 ÷ 1 1/2
Amal's speed = 1/8 ÷ 3/2
Amal's speed = 1/8 × 2/3
Amal's speed =1/12 miles/minute
Now, we will determine how long it would take him to run 1 mile
Time = Distance/ Speed
Time = 1 ÷ 1/12
Time = 1 × 12/1
Time = 12 minutes
Hence, the time it would take Amal to run 1 mile if he maintains the pace is 12 minutes
Here is the complete question:
Amal can run 1\8 mile in 1 1\2 minutes. If Amal can maintain that pace, how long will it take him to run 1 mile.
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Write an equation for 37.
Answer:
Can you please explain more about what do you mean about write a equation for 37.
Step-by-step explanation:
Here's is a polygon. Draw A scaled copy of the polygon useing a scale factor of 1/3
A copy of the polygon using scale factor of 1/3 is 3 units
What is polygon?A closed, two-dimensional polygon in mathematics is a shape with straight line segments. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. Only at its terminal must each side of a line segment cross another line segment. We can quickly determine the geometry of a polygon based on how many sides it has.
Given that,
The original value is 9
So, the copy of the poly is 1/3
So, the copy of polygon is 9×1/3 is 3
Therefore, the copy of the polygon is 3.
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vector v is 448 M long and a 224 direction. Ha W is 336 M long in a 75.9 directions find the magnitude of their Vector sum
The magnitude of the sum of vectors is 240.8 M
How to find the magnitude of the vector sum?We know that vector V has a magnitude of 448 meters and a direction of 224°, then the components are:
x-component = 448m*cos(224°) = -322.3my-component = 448m*sin(224°) = -311.2 mThe other vector W has a magnitude of 336 meters and a direction of 75.9°, then the components are:
x-component = 336m*cos(75.9°) = 81.9my-component = 336m*sin(75.9°)= 325.9mNow if we add these two vectors, the coordinates of the sum are:
< -322.3m + 81.9m, -311.2 m + 325.9m> = <-240.4 , 14.7>
Then the magnitude is:
M = √( (-240.4)^2 + ( 14.7)^2) = 240.8
The magnitude of the sum of vectors is 240.8 M
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Find the measure of the angle indicated.
Answer:
127˚
Step-by-step explanation:
180-53=127
supplementary angles
The cooking time depends on the temperature.
Answer: Cooking time depends on the temperature due to the heat and how long it will stay in the oven or on the stove
Step-by-step explanation: let's say if you cook salmon at 400 degrees for an hour it will change if you do it as 500 degrees the time can be prolonged or shorten depending on the temperature
Solve the following system of equations using either Gaussian elimination or a matrix. Write your answer as a point and explain how you would check your work:
2x-y+4z=33
x+2y-3z=-26
-5x-3y+5z=23
Using Gaussian elimination, the solution to the given system of equations is:
x = 5, y = -11, z = 3.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
The system is composed by these following equations:
2x - y + 4z = 33.x + 2y - 3z = -26.-5x - 3y + 5z = 23.For Gaussian elimination, the first step is building the augmented matrix of the system, for which which:
The first three columns are composed by the coefficients of x, y and z, respectively.The last column is composed by the results of the operations.Hence the augmented matrix of the system is:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]
Then, we need to make the coefficient of x zero in the second and third rows, which is a step to find the solution in an easier way, hence these following row operations are applied:
R2 -> 2R2 - R1.R3 -> 5R1 + 2R3.Then:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]
Now we need to make the coefficient of y on the third row zero, which will make it possible for us to solve for z hence the following row operation is applied:
R3 -> 11R2 + 5R3.
Then:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]
Starting at the third row and moving up, we have that:
40z = 120 -> z = 3.5y - 10z = -85 -> y = -11.2x - y + 4z = 33 -> x = 5.Hence the solution to the given system of equations is:
x = 5, y = -11, z = 3.
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The sun of a number and 14 written as an algebraic exspression?
Answer:
[tex]\mathrm{a + 14 = b}[/tex]
the stock market fell 60 points over a period of 4 days. what was the average change in the stock market each day?
The average change in the stock market is 15 points each day.
Average is calculated by dividing the total number of values in a given set by the arithmetic mean of the sum of all the values. For groups of values that are nearly identical, an average is calculated. The numerical value that represents a lot of data is referred to as the average.
The stock market fell by 60 points
No. of days stock market fell = 4 days
The formula for average is given by:
Average = Sum of observations/Total no. of observations
= 60/4
= 15 points
Therefore, the stock market fell by 15 points each day
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Solve each equation. Check your answers.
3 log x=1.5
3 log (x) = 1.5 => x = 3.162, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Given: 3 log (x) = 1.5
=> log x = [tex]\frac{1}{2}[/tex] = 0.5
Raising both sides by 10, in order to remove the logarithm:
=> [tex]10^{log_{10}x} = 10^{0.5}[/tex]
=> x = 3.162 (as [tex]a^{log_a(x)} = x[/tex])
Hence, 3 log (x) = 1.5 => x = 3.162, by properties of logarithm.
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Find the midpoint of the segment with the following endpoints.
(5, 5) and (10, 1)
Answer:
(7.5,3)
Step-by-step explanation:
( (x_1 + x_2)/2, (y_1 + y_2)/2 ) <--Midpoint formula
(5,5) and (10,1) are where you take the x and y values from. The x_1 and y_1 values come from (5,5) and x_2 and y_2 from (10,1).
this gives you ( (5+10)/2, (5+1)/2 )
=( 15/2, 6/2 )
=(15/2, 3)
= or (7.5, 3)
Both bold answers equal the same thing, just depends on if your teacher is asking for it in mixed number form or decimal form.
By the way, I realize it's confusing so the _ is just to show that the following number would be subscript (brainly won't let me show it, so I suggest searching it online if you are still confused..)
Hope this helps!
what is the equation in slope intercept form of the line that passes throught the points (-4, 2) and (12, 6)
The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The points are given as
(-4, 2) and (12, 6)
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (6 - 2)/(12 + 4)
Evaluate
m = 0.25
The equation is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (-4, 2)
So, we have
y = 0.25(x + 4) + 2
Expand
y = 0.25x + 1 + 2
Evaluate
y = 0.25x + 3
Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
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Roxana fue de compras con 12000. ella gasto el 12% del dinero en carne, 25%en vegetales y guardo el resto ¿cuanto dinero guardo?
The amount that Roxana has left is $7560.
How to calculate the value?Total Amount = $12000
She spent 12% on meat and 25% on vegetables.
Therefore, the amount left will be:
= (100 - 12% - 25%) × 12000
= 63% × 12000
= 63/100 × 12000
= 0.63 × 12000
= $7560
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The mean of four numbers is 16
10
The numbers are in the ratio 1:7:3:5
Work out the range of the numbers. Show your workings.
16
Answer: 4, 28, 12, 20
Step-by-step explanation:
Let the numbers be x, 7x, 3x, 5x.
Then, because of their mean,
[tex]\frac{x+7x+3x+5x}{4}=16\\\\16x=64\\\\x=4[/tex]
So, the numbers are 4, 28, 12, 20.
Simplify. 3√63 +√28
The value of the expression 3√63 +√28 is 5√7 or 13.228.
A number is a fundamental mathematical unit. For counting, measuring, and comparing quantities, we utilize numbers. A set of symbols, or numerals, used to represent numbers is known as a number system.
A square root is a factor of a number that yields the original number when multiplied by itself.
Consider the expression 3√63 +√28,
Let's assume x = 3√63 +√28
Now,
63 = 3 × 21 = 3 × 3 × 7
28 = 2 × 14 = 2 × 2 × 7
Therefore,
x = 3√63 +√28
x = √ [ 3 × 3 × 7 ] + √ [ 2 × 2 × 7 ]
x = ( √ 3² ) × ( √7 ) + ( √2² ) × √7
x = 3√7 + 2√7
x = ( √7 ) × [ 3 + 2 ]
x = ( √7 ) × 5
x = 5√7
x = 5 × 2.6457
x = 13.228
Hence, the value of 3√63 +√28 is equal to 13.228.
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# 12
EE.2
A health food store was charging $5.26 for a small salad but raised the price 20%. The new price after the increase is $6.31.
Enter an expression to show how the new price was calculated.
Answer:
Step-by-step explanation:
20% can be written as a fraction
20% = 20/100
20/100 = 1/5
5.26 x 1/5
1 x 5.26/ 5
5.26/5
1.052 = 1.05
Old price : $5.26
New price : $6.31
Increase : $1.05
Each unit on the map's grid represents 30 meters. Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb. How many units would need to be added to the x-axis to include Dra Abul Naga?
If each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of distance from Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.
Given that each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb.
We are required to find the number of units to be added to x axis that are needed to include Dra Abul Naga.
1 unit=30 meters
Distance in east lie on x axis=1900
Number of units to be added on x axis=1900/30
=63.33
It is equal to 64 units approximately.
Hence if each unit on the map grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.
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To include Dra Abul Naga, 63.33 units and 8.33 units must be added to the x-axis and y-axis, respectively.
A single unit on the map;'s grid represents 30 meters.
Kampp 150 in Dra Abul is 1900 meters east and 250 meters south of Tutankhamun's tomb.
The distance in the east or x-axis is 1900 meters.
Therefore, the number of units to be added to the x-axis will be:
= 1900 meter ÷ 30 meters
= 63.33 units
Similarly, the distance on the y-axis is 250 meters.
Therefore, the number of units that are needed to be added will be:
= 250 meter / 30 meters
= 8.33 units
Hence, the units that need to be added to the x-axis and y-axis to include Dra Abul Naga is 63.33 units and 8.33 units respectively.
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The figures below is made of two identical triangular prisms. What is the volume of the figure?
A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions. V = BH (Base x Width) of a triangular its 1/2BHThe base is 10 x 5, 50 is the base.The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.The total volume is 300 inches squared.
An urn contains 5 tiles, each containing one of the numbers from 1 to 5. An experiment consists of selecting a tile, marking down its number, then replacing it and selecting a second tile and marking down its number. How many outcomes are in the sample space for this experiment?.
Answer:
if 312four + 52p = 96 find the value of p
A square has
has an area of
25 cm². show that the Perimeter of the square is
is 20 CM.
Step-by-step explanation:
[tex]l {25}^{2} [/tex]
L=5
5×4=20
Alan has forgotten his 4-digit PIN code.
He knows it begins with a 2 and the 4 digits make an odd number.
How many different sets of 4 digits could it be?
Answer:
500 possibles
Step-by-step explanation:
First number 2 <==== one choice
Second number 10 choices ( 0 - 9 )
Third number 10 choices ( 0 - 9)
Fourth number 5 choices ( 1,3,5,7,9 )
1 x 10 x 10 x 5 = 500 possibles
The sum of the first six prime numbers is ?
Answer:
41
Step-by-step explanation:
A prime number is a whole number (bigger than 1) that is divisible only by itself and 1.
The first 6 prime numbers are 2, 3, 5, 7, 11 and 13.
2 + 3 + 5 + 7 + 11 + 13 = 41.
Answer: 41
Step-by-step explanation: We know that the first 6 prime numbers are 2, 3, 5, 7, 11, 13. We add them all and get 41!
the quotient of a number,x, and five is half the difference of a number and four write an equation that represents the statement
The equation that represents the quotient of a number x, and five is half the difference of a number and four is [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
Given,
The number = x
When you divide a number with another number the result is called the quotient
The quotient of a number x and five = [tex]\frac{x}{5}[/tex]
Difference of a number and four = x-4
Half the difference of a number and four = [tex]\frac{1}{2}(x-4)[/tex]
Here the quotient of a number x and five is half the difference of a number and four, the equation will be
[tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
Hence, the equation that represents the quotient of a number x, and five is half the difference of a number and four is [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
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Consider the system of linear
equations below. Choose nonzero values for a, b.
and c so the system satisfies the given condition.
Explain your reasoning.
x+y+z=2
ax + by + cz= 10
X- 2y+z=4
a. The system has no solution.
b. The system has exactly one solution.
c. The system has infinitely many solutions.
For no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
We have the system of equations:
x + y + z = 2 …(1)
a x + b y + c z = 10 …(2)
x - 2 y + z = 4 …(3)
a. The system has no solution.
Put a = b = c = -1 in (2)
We get:
- x - y - z = 10
Now add (1) and (2)
0 = 12
which is not possible.
So, no solution.
b. The system has exactly one solution.
a = 1 and b = c = 0
We have the equations as:
x + y + z = 2 …(1)
x = 10 …(2)
x - 2 y + z = 4 …(3)
c. The system has infinitely many solutions.
a = b = c = 5
We will have the equations:
x + y + z = 2 …(1)
5 x + 5 y + 5 z = 10 …(2)
x - 2 y + z = 4 …(3)
Therefore, we get that, for no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
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