If 16x + 4 is 10 more than 14, what is the value of 8x
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Related Questions
Please give me the correct answer
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Answer:
not a right triangle
Step-by-step explanation:
Work out length of BC
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Answer:
assume \(13 = z \\ 8 =x \\ bc = y\)
by phytagorean theorem
\({y}^{2} + {x}^{2} = z^{2} \)
so
\(bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} \)
\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)
\( \large\underline{ \boxed{ \sf{✰\:Note }}}\)
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.\( \rule{70mm}{2.9pt}\)
★ Writing this theorem mathematically ★
\( { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}\)
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm\( \rule{70mm}{2.9pt}\)
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"\( \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}\)
\( \rule{70mm}{2.9pt}\)
✝ let's substitute values ✝\(\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ \)
\( \rule{70mm}{2.9pt}\)
Hence length (BC) in the given triangle is of
\( { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}\)
\( \rule{70mm}{2.9pt}\)
Hope it helps !
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
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Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)
Thus, Solution ; Expected Payoff ⇒ $ 1.50
let x1 , ..., xn be a sample from a normal μ, σ 2 population. determine the max- imum likelihood estimator of σ 2
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The maximum likelihood estimator of σ^2 is the sample variance, computed as the sum of squared deviations divided by the sample size n.
To determine the maximum likelihood estimator (MLE) of σ^2 (the variance) for a sample x1, ..., xn from a normal population with mean μ and variance σ^2, we can use the likelihood function.
The likelihood function L(μ, σ^2) is defined as the joint probability density function (PDF) of the sample values, given the parameters μ and σ^2. Since the samples are assumed to be independent and identically distributed (i.i.d.), we can write the likelihood function as:
L(μ, σ^2) = f(x1; μ, σ^2) * f(x2; μ, σ^2) * ... * f(xn; μ, σ^2),
where f(xi; μ, σ^2) is the PDF of each sample value xi.
In a normal distribution, the PDF is given by:
f(xi; μ, σ^2) = (1 / √(2πσ^2)) * exp(-((xi - μ)^2) / (2σ^2)).
Taking the logarithm of the likelihood function (log-likelihood) can simplify the calculations:
log L(μ, σ^2) = log f(x1; μ, σ^2) + log f(x2; μ, σ^2) + ... + log f(xn; μ, σ^2).
Now, we maximize the log-likelihood function with respect to σ^2. To find the maximum, we take the derivative with respect to σ^2, set it equal to zero, and solve for σ^2.
d/d(σ^2) [log L(μ, σ^2)] = 0.
This derivative calculation can be quite involved, but it leads to the following MLE of σ^2:
σ^2_MLE = (1 / n) * Σ(xi - μ)^2,
where Σ(xi - μ)^2 is the sum of squared deviations of the sample values from the mean.
Therefore, the maximum likelihood estimator of σ^2 is the sample variance, computed as the sum of squared deviations divided by the sample size n.
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what is the given amount converted to the given units 144 ft; inches
Answers
Final Answer: \(1728\) inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
Steps: Multiply 144 by 12
\(144\) × \(12\) = \(1728\) inches
~I hope I helped you :)~
Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)
Answers
Answer:
X = 100
Step-by-step explanation:
In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.Multiply the left by k, so \(y = \frac{k}{\sqrt{x} }\)we know that y= 5, for x = 36, so sub this in the equation\(5 = \frac{k}{\sqrt{36} }\)simplify\(5 = \frac{k}{6 }\)re-arrange for k, k = 5*6 = 30now we know k, we can create the real equation, \(y = \frac{30}{\sqrt{x} }\)sub in 3 as y\(3 = \frac{30}{\sqrt{x} }\)x = 100Will GIVE BRAINLIST!
This table of values represents a linear function.
Enter the rate of change of this function.
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(x+2, y-6) or (x+1, y-3)
Horses age more rapidly than humans.Suppose that the "horse age" and"human age"
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Let x represent the horse age
Let y represent the human age
Since the horse age and human age vary directly, we have the relation
\(x\text{ }\alpha\text{ y}\)Introducing an equality sign, we
\(x\text{ =Ky}\)Where K is a proportionality constant, evaluated as
\(K\text{ = }\frac{x}{y}----\text{ equation 1}\)Since a 5-year-old horse is equivalent to 15-year old human,
x = 5
y = 15
we have
\(\begin{gathered} K\text{ = }\frac{5}{15} \\ \Rightarrow K=3 \end{gathered}\)Thus,
\(\begin{gathered} K=\frac{x}{y} \\ 3\text{ = }\frac{x}{y} \\ \Rightarrow x\text{ = 3y ----- equation 2} \end{gathered}\)Thus, for a horse who has lived 16 years
x = 16
Which function is represented in this graph?
Answers
Answer:
D
Step-by-step explanation:
Hope this helps
square root 2x-7 = 1
Answers
Answer:
4
Step-by-step explanation:
To solve for x in the equation:
√(2x - 7) = 1
We can start by isolating the square root by squaring both sides of the equation:
(√(2x - 7))^2 = 1^2
2x - 7 = 1
Next, we can isolate the variable by adding 7 to both sides of the equation:
2x = 8
Finally, we can solve for x by dividing both sides by 2:
x = 4
Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.
[10 points] Hotdog Palace was facing labor shortage (and higher per-hour labor cost) in the last month. Following table shows the production statistics.
November
December
Orders fulfilled
3537
2945
Labor cost
$9800
$9000
Material cost
$3500
$3500
Overhead costs
$2000
$2000 a. What is the multi-factor productivity in November? Show calculations to earn credit.
b. What is the multi-factory productivity in December? Has the productivity increased or decreased?
c. What is the percentage of productivity change? Show calculations to earn credit. Is it an increase or decrease?
d. Hotdog Palace has decided not to change the price of the food. What can you predict about the profits of Hotdog Palace? Explain your reasoning.
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a. Multi-factor productivity in November: 0.231 b. Multi-factor productivity in December: 0.203 c. Percentage of productivity change: -12.12% d. Predicted impact on profits: It experience reduced profitability.
a. To calculate the multi-factor productivity in November, we use the formula:Multi-factor productivity = Output / (Labor cost + Material cost + Overhead costs). In November:
Output = Orders fulfilled = 3537
Labor cost = $9800
Material cost = $3500
Overhead costs = $2000
Multi-factor productivity = 3537 / (9800 + 3500 + 2000) = 3537 / 15300 ≈ 0.231
b. To calculate the multi-factor productivity in December, we use the same formula:In December:
Output = Orders fulfilled = 2945
Labor cost = $9000
Material cost = $3500
Overhead costs = $2000
Multi-factor productivity = 2945 / (9000 + 3500 + 2000) = 2945 / 14500 ≈ 0.203. The productivity has decreased from November to December.
c. The percentage of productivity change can be calculated using the formula: Percentage of productivity change = ((New productivity - Old productivity) / Old productivity) * 100
Percentage of productivity change = ((0.203 - 0.231) / 0.231) * 100 ≈ -12.12%. The productivity has decreased by approximately 12.12%.
d. Since the productivity has decreased and the price of the food remains unchanged, it suggests that the costs have increased relative to the output. This can have a negative impact on the profits of Hotdog Palace. With higher labor costs and potentially lower productivity, the company may experience reduced profitability unless it takes measures to address the labor shortage and improve productivity.
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I need to know what 62.5 x 80.4 is in order to pass a test
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Answer: 5025
Step-by-step explanation:
please helpp solve!!
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If Angle M is y then,
Step-by-step explanation:
(6y) + (3y -6) + y = 180°
10y - 6 = 180
10y = 186
y= 18.6
Angle O = 3(18.6) - 6 = 49.8
Answer 49.8
I hope this helps!!!
Solve 6x + c = k for x. A. 6(k-c) B. k+c/6 C. k-c/6 D. 6(k+c)
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Answer:
x=k/6-c/6
hope this helps
Step-by-step explanation:
PLEASE HELP ASAP!! ILL MARK BRAINLIEST!!
Farmer Mimstoon wanted to sell some yoys and quects at the market. She expected to sell at least 17 yoys. She expected to sell at least $7 per quect. She expected to make no more than $28. Write a system of statements, in standard form, modeling the relationships between amount of yoys (x) and amount of quects (y).
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The system of statements, in standard form, modeling the relationships between amount of yoys (x) and amount of quects (y) is x ≥ 17, x ≥ 7y, and x + 7y ≤ 28.
What is the equation modelling the relationship?The system of statements, in standard form, modeling the relationships between amount of yoys (x) and amount of quects (y) is calculated as follows;
She expected to sell at least 17 yoys, the equation becomes;
x ≥ 17
She expected to sell at least $7 per quect, the equation becomes;
x ≥ 7y
She expected to make no more than $28.
x + 7y ≤ 28
The statements combined in standard form becomes;
x ≥ 17, x ≥ 7y, and x + 7y ≤ 28
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Let Xi, i=1,2,3 be independent random variables from N(i,i2) distributions. For each of the following, use the Xi's to construct a statistic with the indicated distribution.
(a) chi-squared distribution with v=3 degrees of freedom.
(b) t distribution with v=2 degrees of freedom.
(c) F distribution with v1=1 and v=2 degrees of freedom.
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a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:
X2 = Σ i=1 3 (Xi − i)2 / 3.
X2 has chi-squared distribution with 3 degrees of freedom.
b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:
T = (X1 − 1) / [(X2/2)0.5].
T has t-distribution with 2 degrees of freedom.
c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:
F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].
F has F-distribution with 1 and 2 degrees of freedom.
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Si el recíproco del m% de p se divide por el recíproco del m% de q resulta: A) pq/100 B)pq C)1/pq D)p/q E)q/p
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Answer:
E) q / p
Step-by-step explanation:
Spanish
m% de p = pf / 100
m% de q = mq / 100
El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.
El recíproco de m% de p = 100 / mp
El recíproco de m% de q = 100 / mq
Divisor
100 / mp / 100 / mq
= 100 / mp * mq / 100
= mq / mp
= q / p
English
If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p
m% of p= mp/100
m% of q= mq/100
The reciprocal is obtained by making the numerator the denominator and the denominator the numerator
The reciprocal of m% of p= 100/mp
The reciprocal of m% of q= 100/mq
Dividing
100/mp/ 100/mq
=100/mp* mq/100
= mq/mp
= q/p
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours.If the main pump is started at 6 PM, when should the auxiliary pump be started so that the tanker is emptied by 9 PM,The auxiliary pump should be started at
Answers
Explanation
To solve the question, we will be aware that
There are 3 hours between 6PM and 9PM ,
The main pump's emptying rate is 1/4 tanker per hour. It will be open
the entire 3 hours, so it will empty 3/4 of the tank.
this means that the auxiliary pump must empty the remaining 1/4
Thus
\(rate\text{ in tanker per hour }\times time\text{ required=}\frac{1}{4}tank\)Thus, we will have
\(\frac{1}{4}\times3\text{ hours =45 minutes}\)Therefore
The auxiliary pump should start by 6pm + 45 minutes = 6:45pm
an infinite geometric series has a first term of $12$ and a second term of $4.$ a second infinite geometric series has the same first term of $12,$ a second term of $4 n,$ and a sum of four times that of the first series. find the value of $n.$
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The Progressives were a diverse group of people who held different beliefs and opinions, but many of them were committed to social justice and equality.
They recognized that segregation was a major problem in American society, and they worked to combat it through a variety of strategies.
Some Progressives used their positions of power in government and the legal system to challenge segregation laws and practices. For example, Theodore Roosevelt, a Progressive president, appointed African Americans to federal positions and invited Booker T. Washington, a prominent African American leader, to dine at the White House.
Other Progressives worked at the grassroots level, organizing protests, boycotts, and other forms of activism to challenge segregation in their communities. For example, the Niagara Movement, founded by African American intellectuals and activists, called for an end to segregation and discrimination.
Despite their efforts, the Supreme Court decision in Plessy v. Ferguson in 1896 upheld the constitutionality of segregation, setting back the efforts of Progressives to combat segregation through the courts. However, Progressives and civil rights advocates continued to fight against segregation, eventually leading to the landmark Brown v. Board of Education decision in 1954, which declared segregation in public schools to be unconstitutional.
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write a logarithmic equation (using only real numbers) that has no real solutions. explain why there are no real solutions.
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The equation is log_2 (3x - 5) = 9 There are no real solutions to this equation because the logarithm of a negative number is undefined. The left side of the equation would require the argument to be negative, thus making the equation impossible to solve.
This equation cannot be solved because the logarithm of a negative number is undefined. The left side of the equation is of the form log_2 (N), where N is some real number.For the equation to have any real solutions, N needs to be greater than 0. However, in this equation, N is equal to 3x - 5, which can be negative for certain values of x. This means that there is no real number x that can be substituted into the equation to make it true, since the logarithm of a negative number is not defined. Therefore, this equation has no real solutions.
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What will it costs to place baseboard around the region shown if the baseboard costs $ 0.25 per foot? No baseboard is needed for the 2 foot
doorway
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The cost of placing the baseboard around the region is $10.
In order to determine the cost of placing a baseboard around the region, the distance round the region has to be determined first. The distance round the region is known as perimeter. After the perimeter has been determined, the cost per foot would be multiplied with the total perimeter of the region.
The perimeter of the region can be determined by calculating the distance round the region.
Perimeter round the region = 5 + 8 + (17 - 8) + 3 + (17 - 2) = 40 feet
Total cost = perimeter x cost per foot
40 x 0.25 = $10
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what is the value of x 3/6x+9 =12
Answers
Answer:
x=6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Which of the following is rational?
1) 3xPi
2) 2/3+9.26
3) \/45+\/26
4) 14.3+5.7876239...
BTW this ( \/ ) means the squared sybol. i did it like that because iididn't know how to do the squared symobl on a keyboard.
_
And the 3 in 14.3 is a repeating 3
Answers
Algebra 2 Honors Discrimination Formula
A pedestrian suspension bridge built above a road is supported by a parabolic arch. The height in feet of the arch is given by the equation
h(x) = x(13.5-x). Can a semi-truck with a height of 31.25 feet pass
under the highest point of the arch? Use the discriminant to explain.
Answers
The semi-truck in discuss can pass under the highest point of the arch.
What is the highest point of the arc?As evident in the task content; The height in feet of the arch is given by the equation; h(x) = x(13.5-x).
By expressing the equation in vertex form; we have;
h(x) = -x² + 13.5x
= -1 (x - 6.75)² - 45.5625.
Hence, the vertex of the arc would be given by the coordinates; (6.75, 45.5625).
The highest point of the arc is therefore; 45.5625 feets.
Ultimately, the semi-truck with a height of 31.25 can pass under the highest point of the arch.
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If LO ≅LM and OP ≅ PM , then a correct conclusion would be:
ΔLMP ≅ ΔLOP by AAA.
ΔLMP ≅ ΔLOP by SSA.
ΔLMP ≅ ΔLOP by SSS.
None of these choices are correct.
Answers
Answer:
Step-by-step explanation:
None of these Choices are correct..
Help
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answers
The short explanation of the effects of the above operations will not affect the inequality.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9, then we have
4 x 3 x 2 x 4 x 9 < 7 x 3 x 2 x 4 x 9
864 < 1512
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
11 + 3 + (-4) > - 2 + 3 + (-4)
10 > - 3
3. -2 ≤ -2 Subtract 6 from both sides, then 8, and then 2
-2 - 6 - 8 - 2 ≤ -2 - 6 - 8 - 2
- 18 ≤ - 18
4. -4 < 8 Divide both sides by -4, then by -2
- 4 / (-4) > 8 / (-4)
1 / (-2) > - 2 / (-2)
- 1/2 < 1
The short explanation of the effects of the above operations will not affect the inequality.
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Thanks for helping me two more problems
Answers
Answer:
A. Energy (weight)
Step-by-step explanation:
Mark me as brainiest
A triangle can be constructed by taking its sides as
(1) 1.8 cm, 2.6 cm, 4.4 cm
(2) 2 cm, 3 cm, 4 cm
(3) 3.2 cm, 2.3 cm, 5.5 cm
(4) 2.4 cm, 2.4 cm, 6.4 cm
Answers
Answer:
can be constructed by taking the sides 2cm, 3cm,4cm
How far is the 100cm chord to the center of a circle with a radius of 26cm?
Need help here, Which formula should I use in any questions like this?
Answers
The distance between the chord to the center of the circle is 42.70 units.
What is a chord?The line segment joining the two points in the circle, the diameter, is the longest chord of the circle.
Given that, a circle has 100 cm of chord and 26 cm of radius, we need to find the distance between them,
Let the chord be AB and the radius be CA and the distance between them be AD,
Please refer to the figure,
We see that, the arrangement of the radius and chord are making a right triangle,
Therefore, using Pythagoras theorem,
AC² = AD² + CD²
50² = 26²+CD²
CD = 2500-676
CD = 42.70
Hence, the distance between the chord to the center of the circle is 42.70 units.
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please dont use any big words & give an essay explanation
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We want to create a real-life reasonable problem in which we can apply the laws of exponents.
Using a compound interest example;
Word Problem:
Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.
Solving the word problem;
We have the following parameters;
\(\begin{gathered} \text{ Principal P = \$2,000} \\ \text{Rate r = 5\%} \\ \text{Time t = 5 years} \\ \text{ Number of times compounded n = 4} \end{gathered}\)Recall that the formula for compound interest is;
\(F=P(1+\frac{r}{n})^{nt}\)Substituting the given values;
\(\begin{gathered} F=2000(1+\frac{0.05}{4})^{4(5)} \\ F=2000(1+0.0125)^{20} \\ F=2000(1.0125)^{20} \\ F=2000\times(1.0125)^{20} \\ F=\text{ \$2,564.07} \end{gathered}\)Therefore, the solution to the problem is;
The final