The value of v is v > -1.16.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given linear inequality is
−42v + 33 < 8v + 91
We have to take like terms on one side.
-42v and 8v are like terms and 33 and 91 are like terms.
Subtracting 8v from both sides,
−42v + 33 - 8v < 8v + 91 - 8v
-50v + 33 < 91
Subtracting 33 from both sides,
-50v + 33 - 33 < 91 - 33
-50v < 58
Dividing both sides by -50, the inequality sign changes.
v > -58 / 50
v > -1.16
Hence the solution for the inequality is v > -1.16.
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Which is the correct solution to the expression 4^8? Use the scientific calculator given in this course.
please help me on math???
the number of eggs e in the carton and the total costs t of the eggs. what is the dependent variable
The total costs t of the eggs is the dependent variable.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
Thus if variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables that take their values based on some other variables' values are called dependent variables.
Given that the number of eggs e in the carton and the total costs t of the eggs.
Here, we know the number of eggs, e, to know how much it costs.
Hence, it is the dependent variable.
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How many questions can be missed on a 100 question test to get 80%?
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the , followed by a reflection across the line .
Answer:
Y-axis and y = -x
Step-by-step explanation:
The student's question is about the sequence of rigid transformations that resulted in polygon A'B'C'D' from polygon ABCD. While the reflections lines are unspecified, typically two reflections across intersecting lines equal a rotation around the point of intersection by twice the angle between the lines.
Explanation:The student's question involves identifying the type of rigid transformations that polygon ABCD underwent to form polygon A'B'C'D'. Unfortunately, there seem to be missing elements in the provided description of the transformations. Normally, a rigid transformation would include details such as the lines across which the reflections occur. That said, a sequence of two reflections across two intersecting lines is equivalent to a rotation around the point of intersection of the lines, with the angle of rotation being twice the angle between the two lines.
If we could infer that the lines of reflection are perpendicular to each other, the overall transformation would be a rotation of 180 degrees. This would mean that polygon A'B'C'D' is the result of this 180-degree rotation of polygon ABCD about the point of intersection of the two reflection lines.
HELP PLEASE!!! WORTH 8 points!!!!
A comuter has $245 in his commuter savings account b. How much must he add to his account if he wants to have 20 weeks worth of tickets in his account
in the first 33 days of class, Daunte lost 22 pencils. If Daunte keeps losing pencils at the same rate for 60 days of class, how many pencils will he lose?
Whats the area of a circle with the diameter of 20 feet.
Triangle QRS is a right triangle.
ΔSTR ~ Δ____
A. ΔTQR
B. ΔRST
C. ΔSQR
D. ΔRTQ
Answer: C. ΔSQR
Step-by-step explanation:
In [tex]\triangle{STR}[/tex] and [tex]\triangle{SQR}[/tex], we have
[tex]\angle{TSR}\cong\angle{OSR}\\\\\angle{STR}\cong\angle{QRS}=90^{\circ}[/tex]
By AA- similarity postulate , we get
[tex]\triangle{STR}\sim\triangle{SQR}[/tex]
AA-similarity postulate says that two triangles are said to be similar if they have two corresponding angles that are congruent or equal in measure.an airplane takes off at a rate of 2,000 feet per minute. how long will it take the plane to reach 50,000 feet
Estimate the mass of an average flat screen computer monitor.
It is difficult to estimate the mass of an average flat screen computer monitor without specific data.
Explanation:In order to estimate the mass of an average flat screen computer monitor, you could use the rule-of-thumb approach by mass. This approach involves finding the average mass of similar monitors. However, since we do not have specific data on the mass of an average flat screen computer monitor, it is difficult to provide an accurate estimate.
The mass estimate can also be influenced by factors such as the size, type, and materials used in the construction of the monitor. Therefore, it is recommended to refer to the product specifications provided by the manufacturer for the most accurate information regarding the mass of a specific model of flat screen computer monitor.
ASYMPTOTES MATH HELP PLS!
Identify the x and y asymptotes of the graph
What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56 ?
Answer:the answer would be c which is 146
Step-by-step explanation:
5 more than twice x (algebraic expression)
What separates terms in an algebraic expression
We want to find what separates terms in an algebraic expression.
The answer is: The sum and subtraction symbols.
By definition, a "term" can be a signed number, a variable, a constant multiplying a variable, or more complex things, like expressions inside parentheses.
The terms in an algebraic expression are the things we are adding or subtracting.
Thus, what we use to separate them are the sum symbol (+) or the subtraction symbol (+).
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The decay of 230 mg of an isotope is described by the function A(t)= 230e-0.031t, where t is time in years. Find the amount left after 26 years. Round your answer to the nearest mg.
Answer:
103 mg.
Step-by-step explanation:
We have been given that the decay of 230 mg of an isotope is described by the function [tex]A(t)=230e^{-0.031t}[/tex], where t is time in years.
To find the amount left after 26 years, we will substitute [tex]t=26[/tex] in our given function as:
[tex]A(26)=230e^{-0.031\cdot 26}[/tex]
[tex]A(26)=230e^{-0.806}[/tex]
Using exponent property [tex]a^{-n}=\frac{1}{a^n}[/tex], we will get:
[tex]A(26)=230\times \frac{1}{e^{0.806}}[/tex]
[tex]A(26)=\frac{230}{e^{0.806}}[/tex]
[tex]A(26)=\frac{230}{2.2389343}[/tex]
[tex]A(26)=102.72744\approx 103[/tex]
Therefore, 103 mg of isotope will be left after 26 years.
3a+20=-25 what is the value of a?
True or false: the sum of relative frequencies in a distribution always equals 1.
Solve for a. 3a+1>−7a−14−4
Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips
A rectangle has perimeter 74 cm and length 28. What is its width?
The ages of mark and adam add up to 28 years total. mark is 20 years older than adam. how many years old is adam
Adam is 4 years old. This conclusion is reached by setting up a system of equations based on the information that Mark and Adam's ages add up to 28 years and Mark is 20 years older than Adam.
The student is asking how old Adam is, given that the total age of Mark and Adam is 28 years, and Mark is 20 years older than Adam. To solve this, we can set up a system of equations. Let Mark's age be represented by M and Adam's age be represented by A. The two equations based on the given information would be:
M + A = 28 (The sum of their ages is 28)M = A + 20 (Mark is 20 years older than Adam)Now, substituting the second equation into the first one, we get:
A + 20 + A = 28
This simplifies to:
2A + 20 = 28
Subtracting 20 from both sides, we have:
2A = 8
Dividing both sides by 2, we find:
A = 4
So, Adam is 4 years old.
What is the slope of a line that is parallel to the line shown?
Verify the identity. sin quantity x plus pi divided by two = cos x
Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x –
What are the solutions of –x2 + 4x = x – 4?
The solutions of the equation [tex]-x^2+4x=x-4[/tex] is:
x= -1 and x=4
Step-by-step explanation:The solution of the graphs of the equation is equal to the x-value of the point of intersection of the graph of two functions i.e. the function on the left side of the equality on the right side of the equality.
Here, the expression is:
[tex]-x^2+4x=x-4[/tex]
Hence, we will see at which point the graph of:
[tex]y=-x^2+4x[/tex]
and [tex]y=x-4[/tex] meet.
The point of intersection of the graph is: (-1,-5) and (4,0).
Hence, the solution of the graph is: x= -1 and x=4
If four times a certain number, increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
Answer: Hello mate!
"four times a certain number increased by 6 is equal to 94"
is equivalent to: 4*x + 6 = 94
where x represents the number.
Now we would want to find the value of x.
4*x + 6 = 94
4*x = 94 - 6 = 88
x = 88/4 = 22
then the value of the number x that makes the statment true is x = 22.
A seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. What is the probability that an odd number or a seven is rolled
Logan opened a savings account 21 years ago with a deposit of $3,471.52. The account has an interest rate of 3.1% compounded monthly. How much interest has Logan earned?
a carpenter is measuring a board with which he is working. because one end of the measuring tape is unreadable, the carpenter places the measuring tape so that one end of the board is at 3 inches and the other is at 15 inches. how long is the board?
Answer:
12 inches
Step-by-step explanation:
15 - 3 = 12
The board is 12 inches long.
_____
A measuring tape is like a number line. To find the distance between two numbers on the number line, you subtract the smaller one from the larger one. The tape measure works the same way. Subtract the number at one end of the board from the number at the other end of the board to find the length of the board.