The variable x has infinite many solutions in the expression 10x - 3 + 2x + 4
How to determine the value of x in the equationFrom the question, we have the following parameters that can be used in our computation:
10x - 3 + 2x + 4
The given parameter above is an expression, not an equation
This means that we cannot determine the value of x
This is so because the variable x has infinite many solutions
This in other words means that the variable x can assume any value, and the expression would assume any value depending on the value of x
Hence, the variable x cannot be determined or it has infinite many solutions
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Find the perimeter and the area of a rectangle with the sides 4 7/10 m and 6 2/3
(just answer if fine)
Answer:
Step-by-step explanation:
The area of a rectangle is length times the width. So it will be 4 7/10 times 6 2/3=31 1/3.
Perimeter will be length plus the width=11 11/30.
Which number is further from 0 on a number line: −7 or 4? Complete the explanation.
Answer:
-7 is the further number from 0
Step-by-step explanation:
So lets say you start at 0
count 4 spaces to the right because it is a positive 4
and count 7 spaces to the left because it is a negative 7
7 is greater than 4 which means -7 is farther from 0 than 4 on a number line
Can you please help me with this!
Step-by-step explanation:
A triangle will ALWAYS be 180 degrees
4. 34 + 21 = 55
180 - 55 = 125
x = 125
5. 100 + 51 = 151
180 - 151 = 29
2x + 3 = 29
2x = 26
x = 13
6. 94 + 60 = 154
180 - 154 = 26
2x = 26
x = 13
A square board is attached to a wall. The board is divided into four squares and each square is painted either black or white. In how many ways can the board be painted if we can rotate the given board about its center?
The number of ways for which the square can be painted is given as follows:
16 ways.
In how many ways the square can be painted?The square is composed by four regions, and for each region the painting is independent of other regions, meaning that the Fundamental Counting Theorem is used to solve this problem.
The Fundamental Counting Theorem states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the square is composed by four regions, each with two possible options for the paint color, hence the number of ways in which the square can be painted is given as follows:
N = 2 x 2 x 2 x 2 = 2^4 = 16 ways.
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Use the vertical line test to determine whether the relation graphed below is a function
A. yes
B. no
C. cannot be determined
By using the vertical line test, the relation graphed above is a function. Therefore, the correct answer choice is: A. yes.
What is a vertical line test?In Mathematics, a vertical line test can be defined as a technique which is typically used to determine whether or not a given relation is a function.
According to the vertical line test, a vertical line must cut through the x-coordinate (x-axis) on the graph of a function at only one (1) point, in order for it to represent a function. Else, the relation does not represent a function because it can only have one output value (y) for a unique input value (x).
In conclusion, we can reasonably infer and logically deduce that relation graphed above represents a function because it passed the vertical line test as shown in the graph attached below.
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Answer: function
Step-by-step explanation:
 solve for brainliest, 20 points, and thanks!
On solving the provided question, we can say that - here in inequality equation value of p for the inequality [tex]4p - 5 \leq 25[/tex] is [tex]7.5[/tex]
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
here,
4p - 5 ≤ 25
[tex]4p - 5 \leq 25\\4p \leq 25 + 5\\4p \leq 30\\p \leq 30/4\\p \leq 7.5[/tex]
value of p for the inequality [tex]4p - 5 \leq 25[/tex] is [tex]7.5[/tex]
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what part of a day is 12 hours and 30 minutes
Write a function that models the data.
Answer:
[tex]y = 5( {3}^{x} )[/tex]
12. Which of the following equations graphs a as a vertical parallel to the y-axis?
x+y=1
x=1
y = 1
xy=1
Answer:
x=1
Step-by-step explanation:
.................................
Helppp . I rlly need help.
Laila should create a "box plot" to display the data would display the median, minimum, and maximum clearly.
What is the box and whisker plot?A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.
To present the data, Laila should make a box plot.
This is because a box plot would clearly display the median, minimum, and maximum salary, which is what Laila wants to show.
A histogram cannot be used to determine the median, and a dot plot would not work well because there are too many different values in the data set.
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Points P, Q, and R are collinear and the ratio of PQ to PR is 3/4. Point P is located at (3, -5) and point R is located at (-4, 5). What is the y-coordinate of point Q?
Answer: 0
Step-by-step explanation:
To find the y-coordinate of point Q, we first need to find the coordinates of point Q. Since points P, Q, and R are collinear and the ratio of PQ to PR is 3/4, we know that the ratio of their x-coordinates and y-coordinates must also be 3/4.
Let's call the coordinates of point Q (x, y). We know that the x-coordinate of point Q is 3/4 of the way between the x-coordinates of points P and R. This means that the x-coordinate of point Q is (3/4) * (-4 - 3) + 3 = -1.
Similarly, the y-coordinate of point Q is (3/4) of the way between the y-coordinates of points P and R. This means that the y-coordinate of point Q is (3/4) * (5 - (-5)) - 5 = 0.
Therefore, the coordinates of point Q are (-1, 0). The y-coordinate of point Q is 0.
The coordinates of point Q are (3, -5), and the y-coordinate of point Q is -5.
What is Collinear Points?Collinear points are points that lie on the same straight line. In other words, if you can draw a straight line through two or more points, then those points are said to be collinear.
Given that the ratio of PQ to PR is 3/4.
Let's assume the coordinates of point Q are (x, y).
Using the midpoint formula, we can find the coordinates of the midpoint M of line segment PR:
M = ((x1 + x2)/2, (y1 + y2)/2)
Substituting the coordinates of points P (3, -5) and R (-4, 5), we have:
M = ((3 - 4)/2, (-5 + 5)/2) = (-1/2, 0)
and, M = ((x + (-4))/2, (y + 5)/2)
Equating the x-coordinates and y-coordinates, we get:
-1/2 = (x - 4)/2 => x - 4 = -1 => x = 3
0 = (y + 5)/2 => y + 5 = 0 => y = -5
Therefore, the coordinates of point Q are (3, -5), and the y-coordinate of point Q is -5.
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8-(x+12)=1
I need help can someone please help me with this math problem
Answer:
x = -5
Step-by-step explanation:
You want the solution to 8-(x+12)=1.
SolutionEliminate parentheses using the distributive property:
8 -x -12 = 1
Combine like terms.
-4 -x = 1
We like to have the x-coefficient be positive, so we're going to add x to both sides:
-4 = 1 +x
Subtract 1 to get x by itself.
-5 = x
The value of x is -5.
__
Additional comment
We could have solved this by adding 4 to both sides in the third step:
-x = 5
Now, we need to multiply (or divide) by -1:
x = -5
Any operation (add, subtract, multiply, divide, root, log, or any other function) is done to both sides of the equation, according to the properties of equality.
Two poles are 80 meters and 60 meters tall. Their bases are located at a distance of
90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire? Enter the exact value of the answer
how many meters to the right of the pole with height 80 meters?
The position at which the wire must be connected to the ground so it uses the least amount of wire is given as follows:
51.4 meters to the right of the pole with height 80 meters.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are two similar triangles in this problem, with side lengths given as follows:
80 and x.60 and 90 - x.Hence the proportional relationship to find the value of x is given as follows:
80/60 = x/(90 - x).
Symplifying by 20, we have that:
4/3 = x/(90 - x).
Applying cross multiplication, the value of x is obtained as follows:
360 - 4x = 3x
7x = 360
x = 360/7
x = 51.4 meters.
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The Department of Transportation in each state is responsible for the improvements and repairs of that state's roads. One important job is to repaint the road lines that have worn away or faded. A painting crew is painting a 24-mile stretch of road. They have already completed a total of 9.5 miles of the road. The crew has been painting at a rate of 0.25 mile per hour and continues to paint at the same rate.
Which of the following equations represents this situation?
According to the solving he painting crew will need 58 more hours to repaint the road.
What is dividing?Mathematical operations come in various types, with division being one. In this procedure, the phrases or numbers are divided into the exact number of components.
Each state is in charge of its own Department of Transportation, which is in charge of maintaining and repairing its roadways.
The task of repainting faded or worn-out road lines is crucial.
According to the given information:A 24-mile length of road is now being painted by painters.
A total of 9.5 miles of the road have already been finished.
24 miles less 9.5 miles equals 14.5 miles of road remain.
The team is still painting at the same 0.25 mile per hour rate as they have been.
The remaining distance travelled in 58 hours (14.5 / 0.25).
Thus, the crew still needs 58 more hours.
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the function g(x) represents f(x) = 9cos(x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
The equation that represents the function g(x) is g(x) = 9cos(x - π/3) + 7
How to determine the equation that represents the function g(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = 9cos(x-pi/2)+3
Express the terms of the equation properly
So, we have the following representation
f(x) = 9cos(x - π/2) + 3
The transformation is given as translating π/6 units left and 4 units up
Mathematically, this can be expressed as
g(x) = f(x + π/6) + 4
So, we have
g(x) = 9cos(x - π/2 + π/6) + 3 + 4
Evaluate the like terms
g(x) = 9cos(x - π/3) + 7
Hence, the equation is g(x) = 9cos(x - π/3) + 7
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Find the inverse of f(x) = (2x+15)/5
[tex]f^-1(x) = (5x-15)/2[/tex]
To find the inverse of a function, you need to switch the roles of the input and output.
So, if we let y = f(x), then the inverse function, denoted as f^(-1)(x), would be x = [tex]f^-1(y)[/tex].
In this case, we can start by setting y = (2x+15)/5.
Then, we can solve for x to find the inverse function:
y = (2x+15)/5
5y = 2x + 15
2x = 5y - 15
x = (5y-15)/2
Therefore, the inverse of f(x) = (2x+15)/5 is [tex]f^-1(x) = (5x-15)/2[/tex].
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A child on a swing is given a big push. She travels 12 feet on the first back-and-forth swing but only 5 6 as far on each successive back-and-forth swing. How far (total distance) does she travel before the swing stops?
She travels a total distance of 72 feet before the swing stops
How to determine how far she travel before the swing stops?This is an infinite geometric series problem. Theoretically, it is assumed the swing never stops, but we know it does.
But we will calculate mathematically as if it the swing never stops, but swings through a negligibly small distance.
The formula for an infinite geometric series is given by:
S∞ = a₁/(1 - r)
where a₁ = 12 feet and r = 5/6
S∞ = 12/(1 - 5/6)
S∞ = 12/(1/6)
S∞ = 72 feet
Thus, travels a distance of 72 feet
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Word Problem
Bang-up Motors will rent-a-car for $25 plus $0.15 per mile traveled, The cost is
a function of miles traveled.
a. Write an equation to represent the function.
b. How far would you have driven if your bill was $61?
The function to represent the given scenario is y=25+0.15x and the number of miles travelled is 240 miles.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, Bang-up Motors will rent-a-car for $25 plus $0.15 per mile traveled.
a) Let the number of hours be x and the total number of hours be y.
Now, y=25+0.15x
b) If your bill was $61, then the number of miles are
61=25+0.15x
0.15x=36
x=36/0.15
x= 240 miles
Therefore, the number of miles travelled is 240 miles.
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A hotel manager is adding a tile border around the hotel's rectangular pool. let n represent the width of the pool, in feet. the length is 2 more than 2 times the width, as shown. Write two expressions that represent the perimeter of the pool.
Answer: (2n + 2 + n) x 2 and (2n + 2) x 2 + n x 2
Step-by-step explanation:
width = n
length = 2n + 2
perimeter = (2n + 2 + n) x 2
perimeter = (2n + 2) x 2 + n x 2
Josiah has 52 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
Using the common factors of 266, the set of possible dimensions of the field are:
Length 38 mWidth 7 m.What are the dimensions of a rectangle?The dimensions of a rectangle include four sides, two lengths, and two widths.
The fencing is three-sided with a total width of 14 m (7 x 2) and a length of 38 m. The total length of the fencing will be 52 m (14 + 38) while the area of the land is 266 m (38 x 7).
Thus, the dimensions that meet the criteria for the area and the length of fencing that Josiah has to do are based on the common factors of 266, which are 38 m in length and 7 m in width.
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Find the mean, median, and mode for 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7. Round to the nearest tenth if needed. it need to be in a sentence
The mean, median, and mode 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 are 6.2, 7, and 9.
How to find the mean, median and modeA median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
From the data set:
0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7
Mean = ( 0+ 4+ 6+11+ 9+ 8+ 9+ 1+ 5+ 9+7)/11 = 6.2
The mean is the middle number(s) in a data set. Hence
Median = 7
The mode is the most occurring number in a data set
Hence,
Mode = 9
Thus, the mean, median, and mode 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 are 6.2, 7, and 9.
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HELP PLEASE!!!
Translate the sentence into an equation.
Two more than the quotient of a number and 4 is 8.
Use the variable b for the unknown number.
Answer:
D. A princess must choose the fate of her lover; lady or tiger.
Rita’s recipe uses 3 cups of sugar to make 3 1/2 dozen cookies. Which recipe uses more sugar for a dozen cookies?
Using mathematical operations, the recipe that consumes more sugar is the one for 3¹/₂ dozen cookies, which uses 3 cups.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In this situation, we apply the division and multiplication operations to determine the number of cups of sugar required by the dozen cookies' recipe.
Rita's recipe for 3¹/₂ dozen cookies:
1 dozen = 12 units
The number of cookies = 42 (3¹/₂ x 12)
The number of cups of sugar = 3
Recipe for a dozen cookies:
The number of cookies = 12
The cups of sugar required = 0.86 cups (3/42 x 12)
Thus, the recipe for a dozen cookies will require less sugar than the recipe for 3¹/₂ dozen cookies.
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Select the correct answer.
Consider functions f and g.
f(x)=3 √x + 1
What is the value of f(g(1)) ?
A. 0
B. 3 √2 + 1
C. 1
D. 9
The value of the function f(g(1)) = 1
What is a function?A function is a mathematical expression that shows the relationship between two variables.
How to find the value of the function f(g(1))?Consider functions f and g.
f(x) = 3 √x + 1, to determine the value of f(g(1)), we substitute g(x) into the equation for f(x).
So, f(x) = 3 √x + 1
f(g(x)) = 3√x + 1
f(g(x)) = 3√g(x) + 1
So, substititng x = 1, we have that
f(g(1)) = 3√g(1) + 1
We see that from the table g(1) = 0.
So, susbtituting the values of the variables into the equation, we have that
f(g(1)) = 3√g(1) + 1
f(g(1)) = 3√0 + 1
= 3(0) + 1
= 0 + 1
= 1
So, f(g(1)) = 1
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what is the value of bc
Answer:
|BC| = 24.5
Step-by-step explanation:
It is stared that the triangles are similar triangles.
Since they are similar triangles, we can find the length of the missing side using the ratio of similar sides.
DE/AB = EC/BC
[tex] \frac{6}{21} = \frac{2x + 3}{13x - 1.5} [/tex]
Cross multiply expressions78x - 9 = 42x + 63
Switch the like terms to the same side of the equation78x - 42x = 63 + 9
Add/subtract37x = 72
Divide both sides by 37x = 2
now, replace x with 2 in the given expression for the length of BC:
13x - 1.5 = 13×2 - 1.5
|BC| = 24.5
If a and B are the root of the equation 3x^2 - x - 5 = 0, find a + B
Answer:
a + B = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
the sum of the roots a + B = - [tex]\frac{b}{a}[/tex]
where a and b are the coefficients in the standard quadratic equation
ax² + bx + c = 0 ( a ≠ 0 )
3x² - x - 5 = 0 ← is in standard form
with a = 3 and b = - 1 , then
a + B = - [tex]\frac{-1}{3}[/tex] = [tex]\frac{1}{3}[/tex]
Algebra 2!!!! Please help
On August 23, Carlito Rosselini had $1,432.19 in his savings account at Camden Savings and Trust. The
account earns 5.5% interest compounded daily. What will be the amount in his savings account when he closes it on October 1?
Answer:
1440.63
Step-by-step explanation:
August 23 - October 1 = 39 days
5.5%/365 in days a year
=5.5/365%
for the amount in savings is:
= Amount x ( 1 + rate) ^ number of periods
= 1,432.19 x ( 1 + 5.5/365%)^39
= $1,440.63
Julie’s car travels 27 miles per gallon of gasoline used. She recently traveled 324 miles. How many gallons of gasoline did her car use?
What is 2/3 added to the sum of 4/9 and 7/9 and ?
The addition of 2/3 with the addition of 4/9 and 7/9 is 1 8/9
What is addition of fractions?The addition of fractions teaches us to add two or more fractions with the same or different denominators. The addition of fraction depends on two major conditions: Same denominators. Different denominators.
When adding fractions of same denominator, it easier, for example 2/5+1/5 =( 2+1)/5 = 3/5
But, the addition of fractions with different denominators, we have to find the LCM of the two denominator. for example 1/2+1/3, the LCM of 2 and 3 is 6, Therefore; = (3+2)/6 = 5/6
Similarly, 2/3+( 4/9+7/9)
2/3 + 11/9 =( 6+11)/9
= 17/9 = 1 8/9
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