If the given equation is represented as "2(x - 1) = 14", then the value of the variable "x" is 8.
To solve the equation 2(x - 1) = 14 for x, we use algebraic techniques to separate x.
First, we distribute the 2 to both terms inside the brackets;
2x - 2 = 14,
Next, we separate the variable x by adding 2 to both sides of the equation:
2x - 2 + 2 = 14 + 2,
Simplifying the equation:
2x = 16,
At last , to solve for x, we divide both sides of the equation by 2:
We get,
(2x) / 2 = 16 / 2,
x = 8,
Therefore, the solution to the equation 2(x - 1) = 14 is x = 8.
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A person wishes to mix coffee worth nine dollars per pound with coffee worth three dollars per pound to get 240 pounds of a mixture worth five dollars per pound how many pounds of the nine dollars and the three dollar coffee will be needed
Graph y=3x^2 -5 and it's inverse
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=3x^{2}-5[/tex] -----> quadratic equation of a vertical parabola open upward
Find the inverse function
Exchange variables x for y and y for x
[tex]x=3y^{2}-5[/tex]
Isolate the variable y
[tex]3y^{2}=x+5[/tex] -----> inverse function (horizontal parabola open to the right)
or
[tex]y=(+/-)\sqrt{\frac{x+5}{3}}[/tex]
using a graphing tool
see the attached figure
The graph of function and it's inverse of the graph is shown in image.
We have to given that,
To graph the function y = 3x² - 5 and it's inverse.
Here, The equation is,
y = 3x² - 5
So, We can find it's inverse as,
y = 3x² - 5
y + 5 = 3x²
(y + 5) / 3 = x²
x² = (y + 5)/3
x = √(y + 5)/3
Hence, the inverse of function is,
f ⁻¹ (x) = √ (x + 5)/3
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Use the zeros of the following quadratic to find the x-value of the vertex.
y = x^2 + 2x -8
A. 2
B. 1
C. -1
D. -8
PLEASE HELP ASAP
Sam used his calculator to find the answer and wrote down cos 1.75 = 0.999. Does this seem like a reasonable answer to you? What might he have done wrong on his calculator?
Since pi is equivalent to 3.14 and means 180°, therefore 1.75 which is about half of pi should be at almost 90°. The cos of a 90° angle which is located on the y axis should be zero, therefore cos 1.75 must be near zero. However in this case it is near one, clearly his calculator is in degree mode that is why he got an erroneous answer.
What Sam can do to get the correct answer would be to convert his calculator into radian mode or convert the given 1.75 rad into degrees:
θ = 1.75 rad (180° / π rad)
θ = 100.2676
cos 100.2676 = -0.1782 which is now correct since it is nearer to zero
solve, explain why the algorithm works
3892
-2567
Four students did a survey to find the soda flavor sixth-grade students prefer. The table below shows the method each student used to conduct the survey: Student Method Trey Asked 100 students at random from his seventh-grade class what their favorite soda flavor is Jesse Asked 100 sixth-grade students at random what their favorite soda flavor is Nita Asked 100 eighth-grade students at random what their favorite soda flavor is Ruben Asked 100 third-grade students at random what their favorite soda flavor is Which student's survey not biased?
Answer:
The answer is B
Step-by-step explanation:
simplify the expression the square root of 169
EASY 5 POINTS!!! Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
Answer:
Option C
Step-by-step explanation:
In the given right angle triangle
Hypotenuse = 4.5 cm
Height = 2.5 cm
and base = g cm.
Pythagoras theorem says
(hypotenuse)² = (base)² + (height)²
So by putting the values in the formula
(4.5)² + (2.5)² + g²
Option C is the answer.
BE is the midsegment of triangle ACD. The value of x is:
5.
20.
35.
40.
To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. weld strength is measured as the force required to break the weld. suppose the specifications state
Transmutation is the process of changing the substance, tangible or not, from one form to the other. It means the transformation of one element in the periodic table into another by one or a series of nuclear decays or reactions. One type of transmutation is nuclear transmutation. Nuclear transmutation is the conversion of one chemical element or isotope into another though nuclear reactions or nuclear decay. Second type of transmutation is artificial transmutation. Artificial transmutation occur in machinery that uses nough energy to cause changes in the nuclear structure of the elements.
Engineers test the weld strength of pipe welds in nuclear power plants to ensure they meet safety specifications. Tensile strength and pressure tolerance are key factors tested to maintain plant safety and functionality. Regulatory standards, like those from the NRC, guide acceptable performance levels for power plant components.
To ensure the safety and functionality of the nuclear power plant's infrastructure, engineers conduct tests on components such as pipe welds. These tests involve assessing weld strength, which is the force required to break a weld, and must meet specific specifications for the plant to operate safely. If not, the structural integrity of the power plant could be compromised, potentially leading to failures in electrical generation or even safety hazards.
The tensile strength of a material is a critical factor in this scenario. It is defined as the force per unit area (measured in Newtons per square meter or Pascals) needed to cause failure of the material by pulling it apart. This strength needs to be tested to prevent issues like the SS Schenectady ship's cracking under stress, which can have catastrophic consequences.
Regulatory standards, such as those set by the Nuclear Regulatory Commission (NRC), often determine the acceptable levels of component performance, including valves and tubing, within a power plant. These standards may change over time in response to new findings or incidents, reflecting the evolving understanding of material properties and failure risks under operational conditions.
In statistical terms, such tests might involve a hypothesis test to determine if the pressure tolerances of two valve types differ significantly, or if the structural components meet the required strength, safety, and operational standards.
In triangle FE = 5 and angle D=43 . Find DE to the nearest tenth
Answer:
5.4? I don't really know I'm just going off other answers but clearing it up,,,hope it help :')
Step-by-step explanation:
Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks.what are different ways Ann can group the rocks?
An employee earned $3,300 working for an employer in the current year. the current rate for fica social security is 6.2% payable on earnings up to $117,000 maximum per year and the rate for fica medicare 1.45%. the employer's total fica payroll tax for this employee is:
The value of the given digits in the numbers 7s in 775 823 159
Convert 85°to radians
1 degree = 0.0174533 radians
85* 0.0174533 = 1.4835305 radians
Round answer as needed
Answer:
17pi/36 (PLATO answer)
Step-by-step explanation:
there is a cafe at the park it is 13 meters long and 8 meters wide. what is the area of the cafe
..Simplify √x^100y^16
An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?
Answer: B or 0 < t < 5/4
Step-by-step explanation:
I got it wrong from the other answers and found out that this was the right one.
Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14?
Starting at vertex V going until vertex S, we make our calculations.
VR = 14
Rx = x
therefore, xS = VR – Rx
xS = 14 – x ---> 1
Now starting at vertex V going left to vertex S, we make our next set of calculations. Assuming x is on VR but nearer R
VR = 14 - x
at UV = 15 – (14 – x)
at UV = 1 + x
at TU = 7 – (1 + x)
at TU = 6 – x
at ST = 9 – (6 – x)
at ST = 3 + x ---> 2
Equate 1 and 2:
14 – x = 3 + x
2 x = 11
x = 5.5
To find the value of x in the circumscribed pentagon RSTUV with given sides, we set up an equation based on the sum of the lengths of the opposite sides. After solving the equation, we determined that x is 25.
Pentagon RSTUV and the Value of x
Given that pentagon RSTUV is circumscribed about a circle, we need to find the value of x,
where RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14.
For a polygon circumscribed about a circle, the sum of the lengths of the pairs of opposite sides must be equal. Therefore, we can set up the equation:
RS + TU + x = ST + UV + VR
Substituting the given values:
6 + 7 + x = 9 + 15 + 14
Simplifying the right-hand side:
6 + 7 + x = 3813 + x = 38x = 38 - 13x = 25Thus, the value of x is 25.
how to prove a polygon is a rectangle?
If CD is the perpendicular bisector of AB, then the value of x is:
10.
5.
22.
11.
14 1/6-10 11/24= what fraction
Ocean currents influence all of the following except
temperature
climate
radiation from the sun
weather
Which of the following is the proper notation used to express a point in the three-dimensional coordinate plane?
A. (x)
B. (x, y, z)
C. (x, y)
D. (w, x, y, z)
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
We need to express a point in the three-dimensional coordinate plane.
As we know that In 3- dimensional plane, there are 3 axes;
One for x-axis (say length)
One for y- axis (say breadth)
One for z-axis (say height)
So, the proper notation would be (x,y,z).
Hence, Option 'B' is correct.
A company wants to save for a new piece of equipment that will cost 17,500. They have 15,000 to invest today in an account that earns 4.75% annual simple interest. How long must they invest the money in order to purchase the new equipment? Round to the tenth
3y^2-16y+16
could someone help me walk through this?
Donna rented a movie. She started the movie at 10:36 pm, and it was 2 hours 46. minutes long. When did the movie end?
Write and solve an equation to answer the question.
What number a is 24% of 25?
Final answer:
To find the number that is 24% of 25, you multiply 0.24 by 25, which equals 6.
Explanation:
To find what number a is 24% of 25, we can set up an equation using the concept that a percent is a way of expressing a fractional amount of something.
We know that 24% means 24 out of 100, which can be written as the fraction 24/100 or 0.24 in decimal form.
To translate the question into an equation, we write:
a = 0.24 × 25
Next, we calculate the value of a by multiplying 0.24 (the decimal form of 24%) by 25. This gives us:
a = 6
Therefore, the number a, i.e., 24% of 25 is 6.
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve.
Answer:
The standard normal table gives areas under the curve to the left of z-scores.
Find the probability in the standard normal table that a value is to the left of 1.9.
Find the probability in the standard normal table that a value is to the left of 0.4.
Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.
Step-by-step explanation:
edge2020
In order to find the probability associated with the shaded area under the curve using the standard normal table, you should subtract the probability of a value left of 0.4 from the probability of a value left of 1.9.
How do you find the probability associated with the shaded area?We are trying to find the probability of the area between 1.9 and 0.4 so the first thing to do is to find the probability that a value is to the left of 1.9 from the Standard normal table.
After this is done, you then find the probability that the value is left of 0.4.
To find the probability of the middle area, subtract the value to the left of 0.4 from that of the value left of 1.9
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A person in a casino decides to play blackjack until he loses a game, but he will not play more than 3 games. let l denote a loss and w denote a win. what is the sample space for this random experiment
The sample space for the random experiment of playing blackjack until a loss or a maximum of three games are played is represented by the set {l, wl, ww}.
Explanation:The sample space for this scenario comprises of all possible outcomes of playing "blackjack" until the person loses or has played three games. We represent win and loss by w and l respectively. By these definitions, we get the following possibilities: l (losing on the first game), wl (winning the first game then losing the second), and ww (winning the first two games and decide not to play a third game or it wasn't possible to play a third game). This assumes that the player stops after either losing a game or after playing the third game, even if he won that.
Note that the scenario where the player wins all three games (www) is not included in the sample space because the problem states that the player will stop playing as soon as they lose a game.
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