Answer:
B) m × 3 = 27
Step-by-step explanation:
Explanation:
m = 27 ÷ 3 = 9
E) q ÷ 3 = 27
Explanation:
q = 27 × 3 = 81
So, the equations with 9 as a solution are B and E.
What is the solution to this system of linear equation 2x 3y 3?
In the given question, we have to find the solution to this system of linear equations 2x+3y=3 and 7x-3y=24.
The given equations are:
2x+3y=3...…….(1)
7x-3y=24...…….(2)
To solve these equations we add equation 1 and 2,
2x+3y+7x-3y = 3+24
9x = 27
Divide by 9 on both side, we get
x = 3
Now putting the value of x in equation 1, we get
2(3) + 3y = 3
6 + 3y = 3
Subtract 6 on both side, we get
3y = -3
Divide by 3 on both side, we get
y = -1
The solution to this system of linear equations 2x+3y=3 and 7x-3y=24 is (3, -1).
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The complete question is:
What is the solution to this system of linear equations 2x+3y=3 and 7x-3y=24?
for linear inequalities when your multiplying by (0,0) , etc is it always greater than sign
For linear inequalities when multiplying by (0,0) , it does not exist.
What is linear inequality?Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
Given statement,
For linear inequalities when multiplying by (0,0) , It is always greater than sign.
Let the inequality be
ax > by
ax - by > 0
Multiplying with (0,0)
(ax - by)(0x + 0y) > 0
(ax - by).0 > 0
0 = 0
LHS = RHS
there is no inequality remained.
Hence, when multiplying by (0,0) there is no existence of inequality.
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What is the inverse of FX =- 3x?
The inverse of FX =- 3x is FX = (1/3)x.
The inverse of FX = -3x is a mathematical equation that finds the inverse of a given function.
In this case, the inverse of the given equation is FX = (1/3)x.
The inverse of an equation is the equation that, when solved, produces the same result as the original equation. In this case, when using the inverse equation, the x-value is multiplied by 1/3 to find the corresponding y-value.
The inverse of the equation FX = -3x is the equation x = 1/3Fx.
In mathematics, inverse meaning is the concept of reversing a given equation or operation.
This can be done by switching the terms and operations in the equation, so that the result of the equation is the opposite of what it was before.
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In a certain large lake 30% of the fish are thrown back because they are too
small. Consider catching 20 fish from the lake. Assume that the fish you
caught can be considered a random sample from the very large number of
fish in the lake. Let Y= the number of fish that you throw back because they
are too small.
The likelihood of precisely x successes on n further trials in an experiment with two possible outcomes is known as a binomial probability.
What is meant by Binomial probability?The possibility that a variable would take one of two independent values under a particular set of parameters or assumptions is expressed by the statistical distribution known as the binomial distribution.
The utilization of this distribution pattern in statistics has ramifications for finance and other areas as well. It can help banks decide how much money to lend and how much cash they should hold in reserve as well as the risk that a specific borrower will default. In the insurance sector, it's also employed to calculate policy premiums and evaluate risk.
The likelihood of precisely x successes on n further trials in an experiment with two possible outcomes is known as a binomial probability (commonly called a binomial experiment).
Yes, this is an example of a binomial situation. The probability of a specific number of success outcomes from repeated or numerous incidents can be determined using this method.
Success {Event P} small fish, with prob = 30% = 0.3 .
Failure {Event Q} large fish, with prob = 70% = 0.7
Number of trials = 20. Let r be number of small fishes out of 20 fishes.
Binomial probability = [tex]$$N c r . (P)^r . (Q)^ {(n-r)[/tex]
P( 5 small fish out of 20) = 20c5 [tex](0.30)^5 (0.70)^{15[/tex]
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What are the 3 formulas of trigonometry?
sin
Answer:
SOH CAH TOA
Step-by-step explanation:
This means SIN tietha is equal to opposite over adjacent CAH COStetha is equal to adjacent over hypotenoys TOA TAN tetha is equal to opposite over adjacent
HELP! EASY POINTS!
Explain how to use the value q = 4 to show that q * q^3 is equivalent to q^4.
Answer:
see attached
Step-by-step explanation:
You want to use q=4 to show q×q³ = q⁴.
ExponentsThe attachment shows your calculator can help with this. It will compute and display the powers of values without requiring the intermediate calculations.
4 × 4³ = 4 × 64 = 256
4⁴ = 256 . . . . . . equivalent to 4 × 4³
Repeated multiplication
An exponent signifies repeated multiplication in the same way a coefficient signifies repeated addition.
4 × 4³ = 4 × (4·4·4) = 4·4·4·4 . . . . . using the associative property of multiplication
4⁴ = 4·4·4·4 . . . . . . . equivalent to 4 × 4³
__
Additional comment
In literal terms, ...
q×q³ = q·q·q·q = q⁴
A particle (charge = +40 uc) is located on the x axis at the point x = -20 cm, and a second particle (charge = -50 uc) is placed on the x axis at x = +30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = -4. 0 uc) placed at the origin (x = 0)?.
The total electrostatic force on the third particle will be 56 N in -x direction.
q1 = +40 μC, x1 = -20 cm = - 0.2 m
q2 = -50 μC, x2 = 30 cm = 0.3 m
q = -4 μC, x = 0
We know that, the electrostatic force between two charges
F = kQ1Q2/d²
k = 9 × 10⁹ Nm²/C²
here, d: distance between two charges
F1 = k(40×10⁻⁶)(-4× 10⁻⁶)/(0.2)²
F1 = - 36 N {(-) sign shows the force is attraction force}
so, the direction of F1 on q is -x-direction
F2 = k(-50×10⁻⁶)(-4× 10⁻⁶)/(0.3)²
F2 = 20 N {Repulsive force because both particles are having negative charge}
so, the direction of F2 on q is in the -x-direction
So Total force F = F1+F2 = 20+36 = 56 N
Therefore, the total electrostatic force on the third particle will be 56 N in the -x direction.
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R+7=-6+5r+8-3r
Please write this as a word problem
The value of r in equation R+7 = -6+5r+8-3r is -5/3.
A formula declares that two things are equal. The equals sign "=" will be present. According to that formula, the left (x + 2) is equal to the right (6)
The statement "this equals that" is analogous to an equation.
A variable is a symbol used to represent an unknown number. Typically, a letter like x or y is used.
A Constant is a number that exists by itself.
When multiplying a variable, a coefficient is used (4x means 4 times x, so 4 is a coefficient)
In reality, variables have a coefficient of 1 when there isn't a number next to them (x is really 1x)
Given the problem R+7=-6+5r+8-3r
R+7=-6+5r+8-3r
R+5r-3r = -6+8-7
R + 2R = −5
3r = −5
r = -5/3
Thus, The value of r in equation R+7 = -6+5r+8-3r is -5/3.
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Write an equation for the line in slope-intercept form.
Answer: y=2+4x
Step-by-step explanation:
The y-intercept is 2, and 4/1 means it goes up 4 right 1.
Find the binomial product.
(9y - 2)(2y + 2)
A candy box is shaped like a rectangular prism. The box is 8 inches long, three inches wide, and 2 inches high. How much paper is used to wrap the box?
92 inches² paper would be needed to wrap the prism completely.
What is the Surface Area of a Rectangular Prism?The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism. A rectangular prism is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.
Given here: The dimensions of the rectangular prism are 8,3,2 in inches.
Total surface area of a rectangular prism = 2(lb + bh + lh)
Thus TSA= 2(24+16+6)
=92 inches²
Hence, 92 inches² paper would be needed to wrap the prism completely.
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Type the correct answer in each box. Use numerals instead of words.
Consider this expression. (x + 5) (x - 7)
Complete the box to show the distributive property applied to this expression.
The correct number in the box is,
x - 7
x x² -7x
+ 5 5x - 35
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (x + 5) (x - 7)
Now, We can simplify as;
x - 7
x x² -7x
+ 5 5x - 35
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given a sphere with a uniform density. the center of the sphere is at the origin. what is the distribution of density along one axis?
The distribution of density along one axis will be equal to that on all the axis as the density is uniform and center of the sphere is at the origin.
A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point.
The particle P is attracted to a solid sphere of uniform density and radius R by a gravitational force of attraction F1. The particle is located 2R from the sphere's center. The sphere now develops a spherical cavity of radius R/2, as seen in the picture. Now, the cavity-filled sphere exerts gravitational force F2 on the same particle P.
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2 plus 2 - 6 plus 55 times 2
Answer:
108
Step-by-step explanation:
When multiplying fractions, you first start with the two fractions you want to multiply. You multiply the numerators (the top numbers) together, and then multiply the denominators (the bottom numbers) together.
bye im tyler
Use point-slope form to write the equation of a line that passes through the point (- 5, 7) with slope -5.
The equation of the line in point-slope form is y = -5x - 28.
What is the point-slop?
The point-slope form is a way to express the equation of a straight line. It's an alternate form of the slope-intercept form y = mx + b. In point-slope form, the equation of a line is represented as y - y1 = m(x - x1) where (x1,y1) is a point on the line and m is the slope of the line, which represents the steepness of the line and the direction it's going (positive, negative or zero). By using this form, we can find the equation of a line that passes through a given point and has a known slope.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
To write the equation of a line that passes through the point (-5, 7) with a slope of -5, we can plug in the given values:
y - 7 = -5(x + 5)
Simplifying:
y = -5x - 35 + 7
y = -5x - 28
Hence, the equation of the line in point-slope form is y = -5x - 28.
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What is a factored quadratic function?
Finding the roots of a quadratic equation involves the process of factorization. When factoring quadratic equations, the original quadratic expression is changed into the product of two linear factors.
We obtain the quadratic equation when a quadratic polynomial equates to 0. Ax2 + bx + c = 0 is the quadratic equation if ax2 + bx + c is the quadratic polynomial, and a, b, and c are real values such that a 0.
It has two roots, which is the degree of the second quadratic equation. Learn how to factor quadratic equations in this article, which also includes examples and solutions.
Quadratic equations can be factored using a variety of techniques. They are as follows:
1. Dividing a middle word
2. Utilizing a formula
3. Using the quadratic equation
4. Making use of algebraic identities
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F(c)=x+3/2
Find f(2)
F^-1(x)
F^-1(12)
After using inverse function the answers are
a) f(2) = [tex]\frac{5}{2}[/tex]
b) [tex]f^{-1}(x)[/tex] = 2x-3.
c) [tex]f^{-1}(12)[/tex] = 21.
What is inverse function?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.
The output of a function is returned by the inverse function, which also returns the initial value.
Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.
Here the given function f(x) = [tex]\frac{x+3}{2}[/tex]
a) Put x= 2 into f(x) then
=> f(2) = [tex]\frac{2+3}{2}[/tex]
=> f(2) = [tex]\frac{5}{2}[/tex]
b) Now to find inverse function , take y=f(x) then
=> y = f(x)
=> y = [tex]\frac{x+3}{2}[/tex]
Now interchange x and y and solve for y then,
=> x = [tex]\frac{y+3}{2}[/tex]
=> 2x= y+3
=> y = 2x-3
Then y = [tex]f^{-1}(x)[/tex]
=> [tex]f^{-1}(x)[/tex] = 2x-3.
c) Now put x=12 into [tex]f^{-1}(x)[/tex] = 2x-3 then
=>[tex]f^{-1}(12)[/tex] = 2(12)-3 = 24-3 = 21.
=>[tex]f^{-1}(12)[/tex] = 21.
Hence the answers are ,
a) f(2) = [tex]\frac{5}{2}[/tex]
b) [tex]f^{-1}(x)[/tex] = 2x-3.
c) [tex]f^{-1}(12)[/tex] = 21.
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what is 11 3/4 divided by 2
Answer:
47/8 or 5 7/8
Step-by-step explanation:
(11 3/4) /2 = 47/8 or 5 7/8
The division of [tex]11\frac{3}{4}[/tex] by 2 is equal to fraction 47/8.
To divide the mixed number [tex]11\frac{3}{4}[/tex] by 2:
we can convert the mixed number to an improper fraction and then perform the division.
[tex]11\frac{3}{4}[/tex] can be expressed as the improper fraction:
[tex]11\frac{3}{4}[/tex] = (11 × 4 + 3) / 4 = 47/4
Now, we can divide 47/4 by 2:
(47/4) ÷ 2
= (47/4) × (1/2)
= (47 × 1) / (4 × 2)
= 47/8
Therefore, the division of [tex]11\frac{3}{4}[/tex] by 2 is equal to 47/8.
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the mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. a random sample of 16 students will be selected and the mean number of pets for the sample will be calculated. what is the mean of the sampling distribution of the sample mean for samples of size 16 ?
The sampling distribution of the sample mean for samples of size 16, then, is 3.2 pets, which is the same as the mean number of pets owned by the population of students at the high school.
The mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. To better understand this population, a random sample of 16 students will be taken and the mean number of pets for the sample will be calculated.
This will provide us with the mean of the sampling distribution of the sample mean for samples of size 16.
To calculate this, we will first calculate the standard error of the mean, which is the standard deviation of the sample mean. This is calculated by dividing the population standard deviation (1.7 pets) by the square root of the sample size (16), resulting in a standard error of the mean of 0.43.
This means that the standard deviation of the sample means is 0.43 pets.
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Consider the graph of the function [tex]f(x)=e^x[/tex]
What is the range of function g if [tex]g(x)=f(x)+3[/tex]?
A. (3, ∞)
B. (-∞, ∞)
C. (-∞, 3)
D. (-3, 3)
The range of the function g is B. (-∞, ∞).
What is function?Function is a mathematical expression that assigns unique output to each input of a given domain. It is a way of mapping one set of values to another set of values to describe the relationship between them. Functions are important mathematical tools used to model and solve a variety of real-world problems.
The range of a function is the set of all possible output values that the function can produce. In this case, the function g is a linear function which means that its graph is a straight line. This means that the function can produce any real number output value, and so the range of the function is (-∞, ∞).
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Answer this Mathematical equation 20+ Points
The exponential function that grows the least quickly is given as follows:
f(x).
How to define an exponential function?The general format of an exponential function is defined as follows:
y = ab^x.
In which:
a represents the initial value of the exponential function.b represents the rate of change of the exponential function.To grow the least quickly, we want a function with the lowest rate of change, which is equivalent to the lowest value of b.
The value of b for each function in this problem is given as follows:
f(x): b = 3.g(x): b = 3.5.h(x): b = 4.Hence function f(x) grows the least quickly, and this means that the correct option is given by the first option.
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What is the value of the expression 5 *( 2 16 )/ 2 4 *( 2 2 )+ 1 4 of 16?
The final answer for the Expression is 33
The following is a list of BODMAS's expansions:
Brackett is abbreviated B. O is short for of. D denotes division. M denotes multiplication. A is for Addition S represents Subtraction.
Additionally, the order of operation is the same as B O D M A S.
Given:
The expression provided is
16 divided by 5*(2+16)/2-4*(2+2)+1/4, where * denotes multiplication.
5×(2 + 16)÷ 2 - 4 ×(2+2) + 1 ÷ 4 of 16
Solution:
5×(2 + 16)÷ 2 - 4 ×(2+2) + 1 ÷ 4 of 16
We shall first solve brackets using BODMAS.
= 5×(18)÷ 2 - 4 ×(4) + 1 ÷ 4 of 16
next of,
= 5×(18)÷ 2 - 4 ×(4) + 1 ÷ 4 × 16
Division follows.
= 5×9 - 4 ×(4) + 0.25 × 16
Next, multiplying
= 45 - 16 + 4
Finally, addition
= 45 + 4 - 16
= 49-16
= 33
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Whats number 11 algebra 1
Answer:
C
Step-by-step explanation:
think of this… y-intercept is usually on the right and usually slope is in the middle of the equation
Answer:
Step-by-step explanation:
C might be the answer
Help me plssssssss ( i need 20 characters)
Answer:
the answer is C
Step-by-step explanation:
this is because it passes the vertical and horizontal line test
Answer:
C
Step-by-step explanation:
Last month, Stan's take-home pay was $3816 and his expenses were $3472. How much of his take-home pay did Stan have left after he paid his expenses?
helpp:D
yall amazing:D
Answer:
30/49
Step-by-step explanation:
Answer:
30/49
Step-by-step explanation:
6/7÷1 2/5
=6/7÷7/5
=6/7*5/7
=30/49
Solve the system.
y = -x +3
2x + 2y = 4
Answer:
no solution
Step-by-step explanation:
So first, you want to have one of the variables able to cancel out when you add the equations together.
To do this, divide the second equation by two
2x+2y=4
divide by 2
x+y=2
Next, get the variables on the same side on the both equations, so the second thing you do is add x to both sides on the top equation
y=-x+3
+x +x
y+x=3
Now you times one of them by -1 so a variable will cancle out.
y+x=3
x+y=2
*-1
y+x=3
-x-y=-2
Since all the variables cancel out, there is no solution
If R is an odd integer, what are the next two consecutive odd integers?
A) T and V
B) R and R+1
C) R+1 and R+2
D) R+2 and R+4
E) R+1 and R+3
If R is an odd integer, the next two consecutive odd integers are R+2 and R+4. Option D
What is an odd number?You should understand that an odd number is a number that is not divisible by two without remember. Examples of odd numbers are 1,3,5,7,9 etc. The difference between two consecutive odd numbers is two.
Two numbers are consecutive if the are counted without jumping any number. from the list of odd numbers, the difference between them starting from one is two.
So if R is odd, the numbers are in the order
R
R+2
R+2+2
Where R is the first term, R+2 is the second term and R+4 is the third term.
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The time, t, for a pendulum to swing varies directly as the square root of its length, l. When l=9, t=6. (a) Find a formula fort in terms of l. (b) Find t when l = 2.25.
What’s 18b=4 anyone know?
Answer: 4.5
Step-by-step explanation: 18b=4
18/4=4.5
4/4=1
4.5/1=4.5