Answer:
The expression (1/3) to the power of 2x(−10÷14) is equal to (1/3)^(-5/7).
Step-by-step explanation:
Calculating this expression in general will give you a decimal value as an outcome, However, since i do not have the ability to perform calculations, i can give you this hint. It will be a small number close to zero but not zero.
It's important to note that the order of operations (PEMDAS) should be followed when evaluating this expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
What is x?
X= _______ degrees
Answer:
x = 149 degree
Step-by-step explanation:
First, we have to find the missing angle of the triangle
1 triangle = 180 degree
We know 2 angles, one is 63 degrees and one is 86 degrees.
63 + 86 = 149 degree
180 - 149 = 31 degree
So, the angle of the triangle is 31 degrees. Now we know that angle add with the x to get 180 degrees, so
180 - 31 = 149 degree
So, x = 149 degree
This week, the price of apples at the farmers market increased 20%. If the price this week is $1.68, what was the price before the increase?
Answer: $1.4
Step-by-step explanation:
let the price before the increase be x
1.2*x = 1.68
x=1.68/1.2 = 1.4
Price before increase = $1.4
Guadalupe can text 91 words in 14 minutes. At this rate, how many minutes would it take her to text 143 words?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
It would take her 22 minutes to text 143 words.
Step-by-step explanation:
First, you take 91 and divide that by 14.
You then get 6.5
Then you divide. 143/6.5
You then get 22.
Guadalupe can text 143 words in 22 minutes.
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, Guadalupe can text 91 words in 14 minutes.
Since,
Guadalupe can text 91 words in = 14 minutes.
Thus, Guadalupe can text 1 word in = 14/91 minutes.
So, Guadalupe can text 143 words in = 14*143/91 minutes.
Guadalupe can text 143 words in = 22 minutes.
Therefore, in 22 minutes, Guadalupe can text 143 words.
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Write a system of equations for the coefficients of a polynomial of degree 2 that passes through (1, - 2), (- 2, 7) and (- 5, - 2) Solve the system.
The system of equations is:
-2 = a + b + c
7 = 4a - 2b +c
-2 = 25a + 5b + c
The polynomial is:
y = (1/3)*x^2 - 6x - 1/3
How to write and solve the system of equations?The general polynomial of degree 2 can be written as:
y = a*x^2 + b*x +c
If we use the fact that it passes through the 3 given points, then we can write the 3 equations:
-2 = a*1^2+ b*1 + c
7 = a*(-2)^2 + b*-2 + c
-2 = a*5^2 + b*5 + c
We can simplify these to get the system of equations:
-2 = a + b + c
7 = 4a - 2b +c
-2 = 25a + 5b + c
First, isolate c on the first equation to get:
c = -2 - a- b
Replace it on the other two:
7 = 4a - 2b + (-2 - a - b)
-2 = 25a + 5b + (-2 - a - b)
9 = 3a - 3b
0 = 24a + 4b
Using the second equation we can rewrite:
-24a = 4b
-24a/4 = b
-6a = b
Ande replace that in the other equation:
9 = 3a - 3*(-6a)
9 = 3a + 18a
9/21 = a
1/3 = a
And the value of b is:
-6*(1/3) = b
-2 = b
And the value of c is:
c = -2 - (-2) - 1/3
c = -1/3
The polynomial is:
y = (1/3)*x^2 - 6x - 1/3
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You are knitting a blanket at a rate of 4 inches per day.After 4 days, you have knitted 16 inches. a. Write an equation that represents the number of inches y you have knitted after x days. B. How many inches will you have knitted after 7 days? C. Will you have knitted 100 inches after 30 days?
a. The equation that represents the number of inches y you have knitted after x days will be y = 4x.
b. The inches you have knitted after 7 days will be 28 inches.
c. After 30 days, you'll have knitted 100 inches.
How to illustrate the equation?From the information, you're You are knitting a blanket at a rate of 4 inches per day and after 4 days, you have knitted 16 inches.
The equation that represents the number of inches y you have knitted after x days will be:
y = 4 × x
y = 4x
The inches you have knitted after 7 days will be:
= 7 × 4
= 28 inches.
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If f(x) = 3x² + 2 and g(x)=x2-9, find (f- g)(x).
OA. 2x² - 7
OB. 2x² +11
OC. 4x²-7
OD. 4x² +11.
Answer:
B. 2x² + 11
Step-by-step explanation:
(f - g)(x) means:
f(x) - g(x)
We've been given what each of these is equal to, so substitute that in:
3x² + 2 - (x² - 9)
Simplify. Don't forget to distribute that minus in the middle to both terms in x² - 9
3x² + 2 - x² + 9
Next, combine like terms.
2x² + 11
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint: (-21,8) endpoint: (-13,6)
the other endpoint is------------------------.
Using formula of midpoint of a line, the endpoint have coordinates of (-29, 10)
What is Midpoint of a LineThe midpoint of a line is a point that divides the line into two equal parts. The coordinates of the midpoint can be found by taking the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.
The formula of midpoint of a line is given as
M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2
-21, 8 = (x₂ + x₁) / 2, (y₂ + y₁) / 2
For x - coordinate;
-21 = (x₂ + x₁) / 2
-21 = -13 + x₁ / 2
-21 * 2 = -13 + x₁
-42 = -13 + x₁
x₁ = -42 + 13
x₁ = -29
For y - coordinate
8 = (y₂ + y₁) / 2
8 = (6 + y₁) / 2
16 = 6 + y₁
y₁ = 16 - 6
y₁ = 10
The endpoint is (-29, 10)
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!PLEASE HELP! 35 POINTS!
How does the total amount of work used to move a storage box 10 meters across the floor with a force of 20-N compare to moving the same storage box 8 meters with the same amount of force?
How much work is required to move each box? How do those numbers compare with one another? Which requires more work?
Answer: By 40J
Step-by-step explanation:
20*10 = 200J in Newton meter (nm)20*8 = 160J in Newton meter (nm)Storage Box 1 (20*10J) needs more work as compared to Storage Box 2 (20*8J)And 200-160=40 or 20*10-20*810-8=2, Hence the difference is (20*2) or 40pls mark it as brainliest
Identify the slope, and y -intercepts and graph the linear equation.
4. y=1-3
5. 5x +3y = 15
6. y = 3
The slope, and the y-intercepts are
Slope = 0, y-intercept = -2Slope = -5/3, y-intercept = 5Slope = 0, y-intercept = 3How to determine the slope and the intercept of the equationsA linear equation can be represented as
y = mx + c
Where
slope = m
y-intercept = c
Using the above as a guide, we have the following:
Slope of (4) = 0 and the y-intercept is -2Slope of (5) = -5/4 and the y-intercept is 5Slope of (6) = 0 and the y-intercept is 3See attachment for the graph
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What is the area of the triangle having sides 3 cm 4 cm and 5 cm?
The area of the triangle having sides 3 cm 4 cm and 5 cm is calculated to be 6 cm².
Given that,
The sides of the triangle are said to be 3 cm, 4 cm and 5 cm.
By looking at the lengths of the sides of the triangle, it is clear that they are the sides of a right angled triangle. The Pythagorean theorem can be used to verify this.
5² = 3² + 4²
25 = 25
So, 5 is said to be the hypotenuse side of the right triangle and 3, 4 are said to be the base and height of the right triangle.
The formula to find out the area of the triangle is given by,
Area A = 1/2 × Base b × Height h
A = 1/2 × b × h
From the above conclusion, b and h are found to be 3, 4.
So, A = 1/2 × b × h = 1/2 × 3 × 4 = 6 cm²
Thus, the area of the required triangle is calculated to be 6 cm².
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The cost in dollars to produce x shovels in a factory is given by the function C(x) = 26x +400. The number of shovels that can be produced in h hours is
given by the function N(h) = 20h.
7. Find the rule for C(N(h)).
8. Find the cost when h=6 hours.
The amount of shovels that can be produced in h hours is 960 shovels
What is an equation example?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What is the full meaning of the equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
In the given equation,
The number of shovels produced are
C(x)=26*20+400
=520+400
=920 shovels
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Solve the equation -4x+3y=12 for y.
A Playstation 5 sells for $500. Today only, it is on sale for 30% off. What is the sale price of the PS5?
a: $30.00
b: $150.00
c: $350.00
d: $470.00
Answer:
c. $350.00
Step-by-step explanation
im sorry if this didn't help i wrote everything down on paper
Select all the equations where z=5z=5z, equals, 5 is a solution.
All the equations in which z = 5 are a solution are given as follows:
A. 8 = z + 3.
D. 12z = 60.
E. 12 + z = 17.
How to solve the equations?The first equation is defined as
8 = z + 3.
Isolating the variable z, applying the subtraction operation, which is the inverse of the addition, the solution is given as follows:
z = 8 - 3
z = 5.
The second equation is given as follows:
z - 1 = 6.
Applying the addition operation, which is the inverse of the subtraction, the solution is given as follows:
z = 7.
The third equation is given as follows:
20 = 40z
Applying the quotient operation, which is the inverse of the multiplication, the solution is given as follows:
z = 20/40
z = 0.5.
The fourth equation is given as follows:
12z = 60.
Applying the quotient operation, which is the inverse of the multiplication, the solution is given as follows:
z = 60/12
z = 5.
The fifth equation is defined as
12 + z = 17.
Isolating the variable z, applying the subtraction operation, which is the inverse of the addition, the solution is given as follows:
z = 17 - 12
z = 5.
Missing InformationThe equations are given by the image presented at the end of the answer.
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Nicky said, “You’ll never guess my numbers! Their sum is 12 and their difference is 26.” What numbers is she thinking of?
Answer:
She's thinking of 19 and -7.
Step-by-step explanation:
x+y=12
x-y=26
-----------
2x=38
x=38/2
x=19
19+y=12
y=12-19=-7
Lynn O. Liam earns $22.25 per hour. She worked 50 hours last week. She makes
time and a half overtime pay for each hour over 40. What is Lynn's gross pay?
Your answer
Answer:
$1223.75
Step-by-step explanation:
40 times $22.25 = $890
$22.25 times 1.5 to get overtime pay = $33.375
$33.375 times 10 hours overtime = $333.75
$890 + $333.75 = $1223.75
Pls helppppppppppppppppp
Answer:
x=8
Step-by-step explanation:
11x+2=90
11x=88
x=8
Answer:
19. X=8
20. x=7
Which of the following illustrates the truth value of the given conditional statement? If 5 = 3 + 2, then 3 + 2 = 5. F T → T F F → F T T → T T F → F
The option that illustrates the truth value of the given conditional statement is; T T → T
How to interpret Truth conditional statements?A conditional statement is considered to be true when the antecedent and consequent statements are both true or if the antecedent is false. When the antecedent is false, it means that the truth value of the consequent does not matter; the conditional will always be true.
We are given the conditional statements at;
If 5 = 3 + 2, then 3 + 2 = 5
Now, a conditional statement, signified by t f which means true and false, is an if-then statement with t being a hypothesis and f being an inference. The statement that illustrates the truth value is T T → T because 5 = 3 + 2 which is true and 3 + 2 = 5 which is also true.
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Write an equation of a line that passes through (-4,2) and is perpendicular to the line y= 2/7x - 8
A line that is perpendicular to another line has a slope that is the negative reciprocal of the original line. The slope of the line y = 2/7x - 8 is 2/7. To find the slope of the line that is perpendicular to it, we take the negative reciprocal of 2/7 which is -7/2.
We know that the line we're trying to find passes through the point (-4, 2), so we can use this point and the slope to write the equation of the line in point-slope form:
y - y1 = m (x - x1)
where (x1, y1) is the point the line passes through, m is the slope, and y and x are the coordinates of any point on the line.
So the equation of the line that passes through (-4,2) and is perpendicular to the line y= 2/7x - 8 is:
y - 2 = -7/2 (x + 4)
Simplifying this, we get
y = -7/2 x - 8
Therefore the equation of the line that passes through (-4,2) and is perpendicular to the line y= 2/7x - 8 is y = -7/2 x - 8
5x+y=3,5x+y=2 by inspection
Consequently, (3, 5/2) is the answer to the equations 5x+y=3 and 5x+y=2. Either conditional solutions or identities are categories for equations.
what is equation ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either conditional solutions or identities are categories for equations. An identity holds true for whatever value of the variables.
given
5x + y = 3
5x + y = 2
x = y-3/ 5
y - 3 +y = 2
2y = 5
y = 5/2
x = 3
Consequently, (3, 5/2) is the answer to the equations 5x+y=3 and 5x+y=2.
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Find the margin of error
11.13 < μ < 15.03
The margin of error of the intervals 11.13 < μ < 15.03 is 1.95
How to solve for the margin of errorIn order to get the margin of error, we would first have to find the samole mean.
The sample mean x = the upper limit + lower limit / 2
the upper limit = 15.03
The lower limit = 11.13
Then we would have: 15.03 + 11.13 / 2
= 26.16 / 2
= 13.08
Then the margin of error would be
upper limit - sample mean
= 15.03 - 13.08
= 1.95
The margin of error is given as 1.95
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What is the difference between 2D coordinate system and 3D coordinate system?
The main difference between the 2D and 3D coordinate systems is that the 3D coordinate system adds a third axis (Z) to the two axes of the 2D coordinate system.
What is coordinates system?A coordinate system is a two-dimensional or three-dimensional system which is used to identify the location of a point or object in the space. It is represented by a set of axes, which are perpendicular and equally spaced from each other to form a grid-like structure. The coordinates of a point or object are determined by the intersection of the two or three axes. Common coordinate systems used in mathematics and science include the Cartesian, polar, and spherical coordinate systems.
A 2D coordinate system is a system in which two axes (X and Y) are used to define a point in a two-dimensional space. This system is used to describe the position of a point in relation to the origin, which is located at the intersection of the two axes. The two axes form a coordinate plane, which provides a visual representation of the system.
A 3D coordinate system is a system in which three axes (X, Y, and Z) are used to define a point in a three-dimensional space. This system is used to describe the position of a point in relation to the origin, which is located at the intersection of the three axes. The three axes form a coordinate space, which provides a visual representation of the system.
This third axis allows points in the 3D coordinate system to be represented in the third dimension. Additionally, the 3D coordinate system provides a more detailed representation of points, as it can represent points in all three dimensions.
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The figure below is a right rectangular prism.
X
W
Intro
M
N
x
Y
N
O
12
2-
T
Which expression represents the volume of the prism?
01
(1²
01/1²
27
4
Done
the volume of the rectangular prism is 1/2 x³.
What is rectangular prism?
The normal's length from the prism's base to its top base serves as a gauge for the structure's height. At their base, certain prisms have an angle. Prism's top end is referred to as the "base" since the word "base" can refer to either end of a prism. The area (A) of the base of a prism's base times its height (H) equals the prism's volume (V). Since A is the base area and H is the prism's height, the volume of the prism is therefore A H cubic units.
The base area is A = x*x =x²
The height is 1/2 x
The volume of the rectangular prism is A*H = 1/2 x³.
Hence the volume of the rectangular prism is 1/2 x³.
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On the blueprints of their new home, Paul and Gretha notice the balcony is 9 inches long and 4 inches wide. They know
that the actual balcony will be 11.7 ft long. How wide will the balcony be?
The wideness of the actual balcony would be = 5.2 feet.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
The actual size = scale factor × blueprint
where actual length = 9 inches
blueprint = 11.7 = 140.4 inches
scale factor = actual size/blue print
= 140.4/9 = 15.6
If the blue print width size = 4
the actual size = 4× 15.6 = 62.4 inches = 5.2 feet
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When there is a fixed factor and a variable factor the law would be Mcq?
When there are two factors—a fixed element and a variable factor—the law of variable proportions is created. According to the law of variable proportions, the marginal product of a factor will gradually decrease when its quantity is raised while the other elements remain constant.
We are aware that the relationship between the number of units of a variable factor and the entire physical product is shown by the law of variable proportions.
Additionally, the TPP increases initially at a rising pace, then at a falling rate, and finally declines if we maintain other parameters constant and increase the units of the variable factor.
According to the law of variable proportions, if a producer raises the units of a variable factor while keeping other elements constant, the total product will initially increase at an increasing pace, then it will increase at a diminishing rate, and finally it will begin to decline.
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SOMEONE HELP PLSSSS
Which equation does the graph below represent?
(image below)
Answer:below
Step-by-step explanation:
y=1/3x
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?5 < n < 155 < n < 2015 < n < 2015 < n < 25.
After using the triangle inequality theorem, the possible values of the unknown side of the triangle is 15 < n < 25.
In this case, we are given that:
The lengths of the sides of a triangle are 20, 5, and n centimeters.
The theorem of triangle inequality stated that the lengths of any two of a triangle's sides added together must be bigger than the length of the third side. Given two sides, x and y, we can use the triangle inequality theorem to predict that the length of the third side will be between x + y and x - y.
Therefore,
x - y < n < x + y
20 - 5 < n < 20 + 5
15 < n < 25
As the result, the possible value of the unknow side of the triangle would be 15 < n < 25.
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read the picture plssssss
The possible algebraic equations, obtained based on the algebraic expressions in the question are;
1. [tex]\frac{x}{8} = y[/tex]
2. 15 - n = m
3. 25 + x = y
What is an algebraic expression?An algebraic expression is a collection of numbers and variables that are combined together, but without indicating the value indicated by the collection.
What is an algebraic equation?
An algebraic equation is a mathematical statement that expresses the equivalence of two expressions.
The algebraic expressions can be presented as follows;
1. Some number divided by 8
Let x represent the number divided by 8, and let y represent the result when x is divided by 8. The variables x and y can be defined based on the details in the question
The equation with x as the number and y as the result can be presented as follows;
[tex]\frac{x}{8} =y[/tex]2. n less than 15
The expression n less than 15 is; 15 - n
Let m represent the value of the expression; 15 - n, an algebraic equation based on the details is therefore;
15 - n = m3. 25 more than a number
Let x represent the number, we get
25 more than a number = 25 + x
The y represent the result or value of the expression 25 + x, we get the following algebraic equation;
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How much horsepower is a 160hp engine using at 65% efficiency
Answer:
The power is 15 watts.
Step-by-step explanation:
It is equivalent to:
0.02012 mechanical horsepowers
0.02039 metric horsepowers
0.02011 electrical horsepowers
0.001529 boiler horsepowers
, Which recursive sequence would produce the sequence
2,-6, 34
Recursive sequence would produce the sequence 2,-6, 34 is a1 = 2 and an = 2an-1 - 4
How can the recursive sequence be found?To identify a recursive sequence in which terms are defined using one or more preceding terms that are presented.Step 1, Find the nth term (an) of an arithmetic progression and the common discrepancy, d.Step 2, Use the formula an+1 = a + d to plug in the values and find the (n+1)th term, which will then reveal the following terms.A recursive formula is written in two parts: the first term is stated, and the formula connecting the succeeding terms is also stated. 10 through 35 in the following numerical order. Come up with a recursive formula. An arithmetic sequence is shown in this example (the same number, 5, is added to each term to get to the next term).Recursive sequence would produce the sequence 2,-6, 34 is a1 = 2 and an = 2an-1 - 4.To learn more about Recursive sequence refer to:
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