The value of 'x' in the expression (1/2)(4x - 5) + 5/2 = 10 is, x = 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression (1/2)(4x - 5) + 5/2 = 10.
(1/2)(4x - 5) = 10 - 5/2.
(1/2)(4x - 5) = (20 - 5)/2.
(1/2)(4x - 5) = 15/2. ('2' on both sides of the denominator cancels)
4x - 5 = 15.
4x = 20.
x = 5.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
HELP pls will mark you the brainliest
From the given graph solution of lines is (32, 5).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
In the give graph two lines intersect at (32, 6).
Here, 32 represents the number of kites and 6 represents the total cost.
Therefore, from the given graph solution of lines is (32, 5).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
if the polynomial is divided by (x+4), the quotient is x^2-x+8, and the remainder is -6. Find the original polynomial
The original polynomial is x^3 - x^2 + 8x + 26.
How to find the original polynomialThe division of a polynomial by a linear factor (x + 4) can be reversed by multiplication:
f(x) = (x^2 - x + 8) * (x + 4) + (-6)
Expanding the product on the right-hand side, we get:
f(x) = x^3 - x^2 + 8x + 32 - 6
f(x) = x^3 - x^2 + 8x + 26
Learn more about polynomial at:
https://brainly.com/question/4142886
#SPJ1
Please Help!!! Will mark brainliest!
Answer:
4th
Step-by-step explanation:
first is over y-axis and the linear translation: 6 horizontal and -5 vertical
a rectangular bin 4 feet long, 3 feet wide, and 2 feet high is solidly packed with bricks whose dimensions are 8 inches by 4 inches by 2 inches. the number of bricks in the bin is
In the trash can, there are 648 bricks. when the measurements are 8 by 4 by 2 The right response is so (C).
This same total mass of a three-dimensional shape is referred to as its porous structure. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. The cuboid's length, width, and height can also be labeled, and indeed the surface area (SA) can indeed be calculated using the equation SA=2lw+2lh+2hw.
Based on this equation, surface area is equivalent to two times overall combination of width and length, two times its products of length and height, and two times the ratio of both height and width.
To know more about equation click here
brainly.com/question/15525426
#SPJ4
(1 point) a vertical right-circular cylindrical tank measures 7 ft high and 6 ft in diameter. it is full of kerosene weighing 51.2 pounds per cubic feet. how much work does it take to pump the kerosene to the level of the top of the tank?
Work done to pump the kerosene is equal to W = 126106 ft-lbs
"Information available from the question"
Height of the cylinder = 7 ft.
Diameter of cylinder = 8 ft.
Radius of the cylinder = 4 ft
Weight of the kerosene = 51.2 lb/ft³
Calculating the volume of cylinder for dy height
dV = π r² dy
dV = π 4² dy
dV = 16π dy
Force acting on the cylinder
dF = W x dV
dF = 51.2 x 16πdy...….(1)
We know
Work done = Force x displacement
Displacement = 7 - y
dW = 51.2 x 16πdy x (7 - y)
Now, integrating both side
[tex]\int\limits dW = \int\limits^7_0 {819.2\pi(7-y) } \, dy[/tex]
[tex]W = [819.2\pi (7-y)^2]^0_7[/tex]
By solving, we get
W = 126106 ft-lbs
Learn more about Volume of cylinder at:
https://brainly.com/question/16134180
#SPJ4
HELP TIIMED PLEASE HELP
what is the solution of x+4/2x-1 <0
The answer choices are a.) -4 <= x <= 1/2 b.) -4 < x <= 1/2 c.)-4<= x < 1/2 d.) -4 < x < 1/2
The solution to the inequality is x < -4
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x+4/2x-1 < 0
Multiply both sides of the inequality
So, we have the following representation
x + 4 < 0
Subtract 4 from both sides of the expression
So, we have the following representation
x < -4
Hence, the solution is x < -4
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
5. Rewrite each of the following in simplest form by combining like terms.
(b) -2n+10n
(c) 8y-14y
(a) 9x+14x
CONS
(d) -6w-11w
(B) 8n (C) -6y (A) 23x (D) -17w
Evaluation:
B. 10 + (-2) is the same as 10 - 2, the answer is 8.
C. 8 - 14 could be rewritten as -14 + 8, depending on which is easier to comprehend. The answer is -6
A. 9 + 14 = 23.
D. -6 - 11 is the same as -11 + (-6), which is -17.
Cheers,
qxxi
A management dilemma defines the research question.True or False
A management conundrum is an issue or difficulty that a manager faces that necessitates a choice. This difficulty or challenge frequently defines the study question and motivates researchers to conduct research to discover a solution that is the given statement is true.
What is research?Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Student research also has the following characteristics: Students create questions, tactics, and outcomes that are, at least for them, unique. Students employ the same broad techniques as research mathematicians. They go through data collection, visualization, abstraction, conjecture, and proof cycles.
To know more about research,
https://brainly.com/question/24250717
#SPJ4
9. the scenario in problem 14 generates an extraneous solution. neither solution makes a denominator equal zero. why can we not use both solutions?
An extraneous solution is not part of the solution set because it is not valid in the original problem context and may not satisfy the problem's constraints.
The scenario in problem 14 generates an extraneous solution because it is a solution obtained by squaring both sides of an equation, which can lead to extraneous solutions. These extraneous solutions may not satisfy the original equation, and hence, cannot be considered as a valid solution. To determine if a solution is extraneous, we must check if it satisfies the original equation. If it does not, then it is considered extraneous and should not be used.
In other words, an extraneous solution is an extraneous or unintended answer that is obtained as a result of an error in the solution method, but it may not satisfy the original equation or problem. This can occur when using algebraic methods that involve squaring, square roots, or other operations that can cause the equation to change in such a way that some solutions are no longer valid. To ensure that a solution is valid, it is always important to check that the solution satisfies the original equation, and not just the simplified or transformed equation.
Learn more about equation here:
https://brainly.com/question/29174899
#SPJ4
Need help with trigonometry, please explain each step.
The ceiling for this problem is given as follows:
450 m.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The parameters for this problem are given as follows:
Part of ceiling of x.Adjacent side of 150 m.Angle of 71.5º.Hence the value of x is obtained as follows:
tan(71.5º) = x/150
x = 150 x tangent of 71.5 degrees
x = 448.3 m.
Adding 1.7 m, the ceiling is obtained as follows:
448.3 + 1.7 = 450 m.
More can be learned about trigonometric ratios at brainly.com/question/24349828
#SPJ1
when you solve a system of equations (i.e. two equations with two variables each), what possible form(s) could the solution take
1. Simplify the following expression. (84x + 82y) - (14x + 38y)
Answer:
70x+44y
Step-by-step explanation:
step 1: distribute
84x+82y−(14x+38y)
84x+82y−14x−38y
step 2: combine like terms
84x+82y−14x−38y
84+82−14−38
70x+44y
What is the lateral surface area of the triangular prism shown below?
150 cm2
40 cm 2
190 cm2
170 cm2
The area of the triangular prism is calculated as; 170 cm²
How to find the Lateral Surface Area of the Prism?The given triangular prism when broken down is made up of;
2 triangles (top and bottom)
2 side rectangles
1 back rectangle
Formula for area of triangle = ¹/₂ * base * height
Formula for area of rectangle = length * width
Thus;
Area of trapezoid = 2(¹/₂ * 5 * 4) + 3(10 * 5)
Area = 20 + 150
Area = 170 cm²
Read more about Prism Lateral Surface Area at; https://brainly.com/question/1297098
#SPJ1
a random sample of 100 kernels is taken from a population in hardy-weinberg equilibrium. it is found that 9 kernels are yellow, and 91 kernels are purple. what is the frequency of the yellow allele in this population?
100 kernels are randomly selected from a population that is in Hardy-Weinberg equilibrium. 9 yellow kernels and 91 purple kernels are discovered. In this population, the yellow allele is 0.09 times more common.
Both citizens who are physically present in a country or who are temporarily away from it, as well as all foreigners who have permanently emigrated to that country, are included in the phrase "people." This indicator represents the population of a particular area. Growth rates are used to describe the differences in population that occur each year as a result of births, deaths, and net migration. In 2022, Russia had the highest population density in Europe—144.7 people per square mile. In terms of population size, Turkey came in second with 85 million people, followed by Germany with 83.4 million, the United Kingdom with 67.4 million, and France with 65.6 million. Vatican City has a population of just over 800, making it the world's least populous country. Vatican City is the smallest totally sovereign nation-state in the world.
The frequency is 9/10 or 0.09
Learn more about population here
https://brainly.com/question/29885712
#SPJ4
(3^3-6.8)divided by 7
Answer:
Yurrrr Tha answer to your question is 2.8
Step-by-step explanation:
now tha full Answer is 2.88571429
but hope this help and hope you pass type xhii
8. A Caribbean resort has a nightly limbo contest on the beach. Participants must be less than 64 inches tall. The distribution of heights of adult American men is approximately normal with mean 69 inches and standard deviation 2.5 inches. a. What percent of adult American males could enter this contest? b. How tall would a man have to be for his height to be in the top 15% of this distribution of adult American men?
The percent of adult American males could enter this contest is 2.23%
What does "normal" describe in statistics?Normal usually refers to the word "normal" in a normal distribution.
The word normal is used when something occurs that has occurred frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from the mean, its chances decrease.
We solve using z score formula
z = (x-μ)/σ,
where, x is the raw score = < 64 inches
μ is the population mean = 69
σ is the population standard deviation = 2.5
Here Participants must be less than 64 inches tall.
For x < 64 inches
z = 64 - 69/2.5
z = -2
Probability value from Z-Table:
P(x<64) = 0.02275
Converting to percentage;
= 0.02275 × 100
= 2.275%
Approximately = 2.23%
The participants must be less than 64 inches tall to participate in this limbo contest, the percent of adult American males thag could enter this contest is 2.23%
Learn more about normal distribution here:
brainly.com/question/15395456
#SPJ1
5 cm
3 cm
7 cm
What is the surface area, in cm², of the figure shown above?
The level of significance in hypothesis testing is the probability of:A. Accepting a true null hypothesisB. Accepting a false null hypothesisC. Rejecting a true null hypothesisD. None of these alternatives is correct
The correct option C. Rejecting a true null hypothesis, is the probability in significance level in hypothesis testing.
Explain about the null hypothesis significance testing?By testing an experimental component against a no effect or even no relationship hypothesis based on a specific observation, NHST is a statistical inference technique.
The idea that there is no influence on the population is known as the null hypothesis. We may refuse the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect with in population (p ).In the biological, biomedical, and social sciences, null hypothesis significance testing (NHST) continues to be the statistical technique of choice for presenting evidence of an effect.Thus, the likelihood of rejecting a valid null hypothesis determines the significance level in hypothesis testing.
To know more about the null hypothesis, here
https://brainly.com/question/13135308
#SPJ4
After 16 years in an account with a 4.8% annual interest rate compounded continuously, an investment is worth a total of $38,744.77. What is the value of the principal investment? Round the answer to the nearest penny.
$18,068.73
$20,676.04
$17,975.25
$20,769.52
$18021 is value of the principal investment
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that after 16 years in an account with a 4.8% annual interest rate compounded continuously an investment is worth a total of $38,744.77
We have to find the value of the principal investment
[tex]A=Pe^{rt}[/tex]
Where P is the principal amount, r is rate of interest and A is total amount.
[tex]38744.77=Pe^{0.048(16)}[/tex]
[tex]38744.77=Pe^{0.768}[/tex]
38744.77=2.15P
Divide both sides by 2.15
18021=P
Hence, $18021 is value of the principal investment
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
Answer:
its the 1st option
Step-by-step explanation:
i jus took the test
Find the volume of the cone, height = 11cm radius = 6cm
Therefore , the solution of the given problem of volume comes out to be volume of cone is 132π cm³.
Describe volume.The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Two examples of cubic units are cm3 and in3. The amount of matter in a thing is measured by its mass, on the other hand. The weight of an object is typically converted into mass quantities like pounds and kilograms.
Here,
Given :
=>height = 11cm
=> radius = 6cm
Volume of cone :
=> 1/3πr²h
=> 1/3*π * 36 * 11
=> 132π cm³
Thus , volume of cone is 132π cm³
Therefore , the solution of the given problem of volume comes out to be volume of cone is 132π cm³.
To know more about volume , visit:
https://brainly.com/question/13338592
#SPJ1
Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.
According to the information, it can be inferred that the percentages are from left to right and from top to bottom the following: 27, 21, 49, 37, 14, 51, 64, 36, 100.
How to find the percentage that each value is equivalent to?Based on the information in the upper box, we must find the percentage to which each of the values in the lower box is equivalent. To find these percentages we must perform the following mathematical procedure:
1. We must make the rule of three in which the total equals 100%, then we must multiply each of the values in the upper box by one hundred and then divide it by 70.
With the previous procedure we will have the possibility of finding all the values as shown in the table below.
Learn more about percentages in: https://brainly.com/question/29306119
#SPJ1
Is the equation x+5=8 balanced
Answer: Yes
Step-by-step explanation: The value of x is 3 therefore the equation is balanced.
an aircraft carrier made a trip to dry dock and back. the trip took ten hours and the trip back took 11 hours. what was the aircraft carriers average speed on the trip there if it averaged 20 km/h on the return trip?
(please provide a step by step in simple terms, I'm about to cry)
The average speed of aircraft to dry dock on the trip is given by the equation S₁ = 8 km/h
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the average speed to dry dock be represented as S₁
The time for aircraft for dry docking = 10 hours
Now , the equation will be
The average speed on the return trip S₂ = 20 km/h
The time for aircraft for the return trip = 11 hours
So , Speed = Distance / Time
Substituting the values in the equation , we get
The distance = average speed on the return trip S₂ x time
On simplifying the equation , we get
The distance D = 20 x 11 = 220 km
And , the average speed to dry dock S₁ = 220 km / 10 hour
On simplifying the equation , we get
The average speed to dry dock S₁ = 22 km/hr
Hence , the average speed is 22 km/hr
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ1
eventually, the markov chain will end up in state 2. what is the probability that when the process moves into state 2, it does so from state 1?
For the markov chain will end up in state 2, the probability that when the process moves into state 2, it does so from state 1 will be calculated as:
Let,
[tex]\tau = \min\{n: X_{n+1}= 2\}[/tex]
Now,
[tex]p_{i,j} = P(X_{\tau}=i|X_{0}=j)[/tex]
We can observe that,
[tex]p_{0,0} = P(X_{\tau}=0|X_{0}=0) = \sum_{k=0}^{2}{P(X_{\tau}=0,X_{1}=k|X_{0}=0)} [/tex]
[tex]=\sum_{k=0}^{2}{P(X_{1}=k|X_{0}=0)P(X_{\tau}=0|X_{1}=k,X_{0}=0)}[/tex]
A Markov chain or Markov process is a stochastic model that depicts a series of potential events where each event's likelihood is solely determined by the state it reached in the previous event. This can be thought of colloquially as, "What happens next depends only on the situation right now. Discrete-time Markov chains (DTMC) are produced by a countably infinite sequence where the chain changes state at distinct time steps. A continuous-time Markov chain (CTMC) is a continuous-time process. It bears the name Andrey Markov after the Russian mathematician. As statistical representations of processes in the real world, Markov chains have numerous uses.
To learn more about Markov Chain: https://brainly.com/question/15202685
#SPJ4
You and your sister are saving money from your allowances. You have $25 and you save $3 each week. Your sister has $40 and she saves $2 each week. In how weeks, you and your sister will have the same amount of money; and at the time, you both will have how much?
Answer:
15 weeks
Step-by-step explanation:
1 write an equation fore each
you sister
y=25+3x y=40+2x
y is total money and x is weeks
we want to find when they have the same amount of total money we set them equal to echother
25+3x=40+2x
-2x -2x
25+x=40
-25 -25
x=15
you will have the same amount as yore sister in 15 weeks
Answer:
see below
Step-by-step explanation:
you: 25 +$3 /week * x weeks
sis: 40 + 2/week * x weeks
they have to equal to each other
so 25 + 3x = 40 +2x
move x around & simplify
so x = 15
total 25+3*15 = 25+45 = 70
The distance a bus travels varies directly with time as shown in the table.
Time (h), x Distance (mi), y
1.5 93.75
3 187.5
4.5 281.25
6 375
Write the constant variation and the mph
The constant variation rate is given as follows:
62.5 miles per hour.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Hence we can solve for the constant as follows:
k = y/x.
In the context of this problem, the constant variation rate is the constant of the proportional relationship, obtained dividing one output by it's respective input, hence:
k = 375/6
k = 62.5 miles per hour.
More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
PLS PLS ANWSer ASAP ITS GRADED I NEEd at least
Answer:
The third angle is 60
Step-by-step explanation:
The interior angle of a triangle is equal to the 180 minus the exterior angle.
[tex]180-80=100[/tex]
So one of the interior angles is equal to 100
All of the interior angles of a triangle add up to 180
[tex]180=100+20+x[/tex]
[tex]x=60[/tex]
which of the following illustrates the abuse of respondents in marketing research? multiple choice selling unnecessary or unwarranted research services having friends and relatives fill out surveys not using the designated sample of respondents but rather anyone who is conveniently available to complete a survey not providing the promised incentive for completing interviews or questionnaires revealing one's clients to the respondents
An illustrates the abuse of respondents in marketing research is :
Not providing the promised incentive for completing interviews or questionnaires.
Definition of Marketing ResearchThe world organization body, the American Marketing Association (AMA), conveys the definition of marketing research is a function that connects customers, consumers, or the general public with marketers through information used to identify marketing problems and opportunities.
Meanwhile, Philip Kotler defines marketing research as the systematic design, collection, analysis, and reporting of data or findings that are relevant to a particular marketing situation faced by a company.
Simply put, marketing research is the identification, collection, analysis, and presentation of systematic and objective information to help companies make decisions related to problem solutions and find opportunities in the marketing process.
Learn more about marketing research at
https://brainly.com/question/12371186
#SPJ1
Which graph below does not represent a function of x? A B 5432 1 0 1 2 3 4 5 S43N 5 y 2 -5 -4 -3 -2 -1 0 -1 -2 24EN -4 -5 1 2 3 4 5 C D 5 3 2 0 1 2 3 4 5 5 737 7 4 2 1 -5-4-3 -2 -10 -1 N345 -2 -4 -5 DU 1 2 3 4 5
The graph that represents the compound inequality –3 < n < 1 is option C.
What is inequality?The two sides of a mathematical equation having an inequality must be equal. We compare two values via inequality rather than equations. The equal sign is replaced by the signs less than (or less than or equal to), greater than (or greater than or equal to), or not equal to.
The straight line from -3 to 1 with a hollow circle at the -3 point and the 1 point serves as the graph for the compound inequality -3 n 1. This is because n can only have values larger than -3, excluding -3, and less than -1, excluding -1, according to the symbol.
Therefore, the graph that represents the compound inequality –3 < n < 1 is option C.
To learn more about inequalities visit:
brainly.com/question/20383699.
#SPJ1
draw similar rectangles that are in the ratio of 2/3. What is the ratio of the areas of the rectangles you drew.
The ratio of the areas of the rectangles will be 4:9.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.
For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.
For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 x 2) and for rectangle 2 it would be 6 (2 x 3)
If we calculate the area it would be:
Rectangle 1:
2 x 4 = 8
Rectangle 2:
3 x 6 = 18
This means that the radius is 8/18 = 4/9
To know more about similarities follow
https://brainly.com/question/13010212
#SPJ1