Which expression is equivalent to -5(-6h +8 - 12)?
Answers
Answer:
Step-by-step explanation:
30h + 40 - 60 because 5 x 6 = 30 5x 8 - 40 and 5 x 12 = 60
Related Questions
On Monday, November 16, 2020, 11 students from class 731 were present for math class. If there are 29 students enrolled in class 731, approximately what percent of the students were absent? Round your answer to the nearest percent.
Answers
Answer:
62%
Step-by-step explanation:
cross-multiply and do some algebra and boom, you have the answer
The information systems department of your firm has developed a new database program to store critical information on point of sale purchases. The purchases are made during a busy time of day when the computer is performing many tasks so the amount of computer time used for each transaction is very critical. The old database program would take an average of 55 milliseconds to retrieve one piece of data. The IS department hopes the new program will reduce this time to retrieve data. The new program was tested during a typical day. The number of data retrievals was 144 and the average time to retrieve a piece of data was 53 milliseconds with a sample standard deviation of 16 milliseconds.
a) State the null and alternative hypothesis.
b) Calculate the test statistic.
c) Using the P-value approach in your decision making, at the 0.05 level of significance, is there evidence that the new computer program has reduced the time to retrieve the data? Report p-value and use it to support your conclusion.
d) Does your conclusion in part c) change if an a of 0.025 is used?
Answers
Step-by-step explanation:
x'=53
σ=16
n=144
a) hypothesis
H0:µ=55
Ha:µ<55
This is a left tailed test
b) Test statistics
z=(x'-u)/(sigma/sqrt {n})=(53-55)/(16/sqrt{144})
=-1.5
c)Pvalue at z=|-1.5|
pvalue= p(z>1.5)
=1-0.933193
=0.066807
=0.0668
Decision
since pvalue>alpha(0.05) fail to reject the null hypotheis.
Conclusion
There is not sufficient evidence to support the claim the new computer program has not reduce the time to retrieve the data.
d)since Pvalue>alpha(0.025),so fail to reject the null hypothesis.
No, change in conclusion.
Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answers
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
if anyone knows the answer would you mind showing me
Answers
PLEASE HELP ASAP WILL MARK BRAINLIEST!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need
to handle them separately.
(a) What is 0.47 expressed as a fraction in simplest form?
(b) What is 0.4-7 expressed as a fraction in simplest form?
(c) What is 0. -47 expressed as a fraction in simplest form?
There are lines above the seven in decimal B and the line in decimal C is above both numbers. pleaseeeee help me
Answers
Answer:
See below
Step-by-step explanation:
a) 47/100
b) .4777777..... =x
then 10x = 4.77777....
100x = 47.777777 .... now subtract 10x to get
90x = 43
x = 43/90
c) .4747474747...... = x
100x = 47.474747 now subtract x to get
99x = 47
x = 47/99
Solve 5x^2-2x-1=4x to the nearest tenth
Answers
The solutions to the nearest tenth are x = -0.1 and x = 1.3
Solving the equation to the nearest tenthFrom the question, we have the following parameters that can be used in our computation:
5x² - 2x - 1 = 4x
Evaluate the like terms
So, we have
5x² - 6x - 1 = 0
Next, we solve using a graph
The graph of 5x² - 6x - 1 = 0 is added as an attachment
From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3
This means that the solutions are x = -0.1 and x = 1.3
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Answer:
The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.
Step-by-step explanation:
To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.
5x^2-2x-1=4x
5x^2-6x-1=0
Next, we can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 5, b = -6, and c = -1.
Plugging these values into the formula gives:
x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)
x = (6 ± sqrt(56)) / 10
x ≈ 1.3 or x ≈ -0.4Which points on the wave are the trough and the crest?
Answers
Answer:
ok
trough is the y
Crest is W
I put a picture for help
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.
Answers
Answer:
-60 divided by -10
Answer:
answer on edmentum.
Step-by-step explanation:
Given the polynomial 3x3 − 4x2 + 9x − 12, rewrite the polynomial as a product of binomials.
(x2 + 3)(3x + 4)
(x2 + 3)(3x − 4)
(x2 − 3)(3x + 4)
(x2 − 3)(3x − 4)
Answers
Answer:
(x^2+3)(3x-4)
Step-by-step explanation:
To answer this question we can employ a technique called factor by grouping. This strategy has us factor out values from the first two numbers and last two numbers to simplify the expression.
3x^3-4x^2+9x-12
x^2(3x-4)+3(3x-4)
(x^2+3)(3x-4)
Therefore, the answer is the second option.
Quotient of 17.4 ÷ 0.2
Answers
Answer:
87
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Solve for m. Write your answer as an inequality expression using the correct symbol.
m + 7 ≥ 20
PLZ help
Answers
Answer: m ≥ 13
m + 7 ≥ 20
Step-by-step explanation:
you basically subract 7 from 20 and 7
7-7 will cancel each other out 20-7 will give you = 13
m ≥ 13 is your answer
Which statement explains how the lines x + y = 2 and y = x + 4 are related?
Answers
—————————————
X + Y = 2
X = 2 - Y
————————
Y = x + 4
Y = 2 - Y + 4
2Y = 2 + 4
2Y = 6
Y = 3
————————
X + Y = 2
X + 3 = 2
X = -1
Please helppp!! ill give 10 pointss
Solve. 5x < -10
Answers
Answer:
x<-2
Step-by-step explanation:
The book fair had a sale where 6 books were $43.50. If you wanted to buy 2 books, howmuch money would you need?
Answers
If 6 books have a cost of $43.50, then each book has a cost of $43.50/6, meaning:
\(\frac{43.5}{6}=7.25\text{ dollars.}\)Therefore if you want to buy 2 books, you would need:
\(7.25\times2=14.50\text{ dollars.}\)Answer: $14.50.
what will be the answer
Answers
1) Using the Law of Syllogism, we can combine statement 1 and statement 3 to conclude that Sally weighs more than Jill's car:
If something weighs more than 2000 pounds, then it weighs more than Jill’s car.
Sally weighs more than 2000 pounds.
Therefore, Sally weighs more than Jill's car.
2) Using the Law of Detachment, we can apply statement 2 to our conclusion from the Law of Syllogism to conclude that Sally is too heavy for the bridge:
If something weighs more than Jill’s car, then it is too heavy for the bridge.
Sally weighs more than Jill's car.
Therefore, Sally is too heavy for the bridge.
What is the Law of Syllogism and the Law of Detachment?The Law of Syllogism opines that if two conditional statements have the same terms, then we can combine them to form a conclusion.
The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion is also true.
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If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1
Answers
Answer:
f(g(x)) = -1
Step-by-step explanation:
\(f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1\)
Find a degree 3 polynomial having zeros -4, 3 and 8 and the coefficient of x 3 equal 1.
Answers
The required polynomial is \(x^{3}-7x^{2} -20x+96\)
Polynomial : If in an expression all of variables, constants and exponents are present with mathematical operations like addition, multiplication, subtraction & division, then it is called polynomial.
If a polynomial has degree 3 as a highest degree, then the polynomial is called degree 3 polynomial or cubic polynomial.
A degree 3 polynomial having zeros α, β, γ and the coefficient of x³ equal a is, a(x- α)(x- β)(x- γ)
Given, Zeros of the polynomial are -4, 3, 8 & coefficient of x³ equal 1.
Hence, the required polynomial is,
\(1(x-(-4))(x-3)(x-8)\)
\((x+4)(x-3)(x-8)\)
\(=(x+4)(x^{2} -11x+24)\)
\(=x^{3}-11x^{2} +24x+4x^{2} -44x+96\)
\(=x^{3}-7x^{2} -20x+96\)
This is a degree 3 polynomial.
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What are 3 ways to find a ratio?; How do you solve ratios?; What is the ratio of 16 20?; What number has ratio 5 1 to the number 10?
Answers
Using a fraction bar, a colon symbol, and the word "to" are three ways to find the ratio.
By using the fraction bar the ratio can be written as x/yHere x and y are comparisons of data. For suppose if x is five and y are 10, then the ratio will be 5/10.
The second one is by using a colon, which is expressed as x:yThe ratio of 5 inches to 2 feet can be written as 5:2, this can be also written in a fraction bar i.e.5/2.
The final way is the word to can be mentioned as x to yFor example, the ratio of 5 students :1 class for this is written as 5to1.
To solve the ratios we follow the following few steps:
Add together the parts of the ratio to find the total number of shares.Divide the total amount by the total number of shares.Multiplying by the number of shares that are required.The ratio of can be written in two ways:
1.16/20=4:5
2.16:20
The number 50 has a ratio of 5:1 to the number 10.
5/1=x/10
so x=50.
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4/5 divided by 3/4 =
Answers
Answer:
16/15 or 1 1/15
Step-by-step explanation:
4/5 divided by 3/4
Flip 3/4 so it is 4/3
Multiply 4/5 by 4/3
16/15
select the correct texts in the table. consider function f
are the statements about the graph of function f true or false?
Answers
Answer:
truetruetruefalsefalseStep-by-step explanation:
You want to know if the statements describing the graph are true or false.
Y-interceptThe applicable function definition for x=0 is
f(x) = 4x -15
The constant in this linear equation shows the y-intercept is -15. (True)
DiscontinuityThe relevant function values are
f(-2-) = -1/4(-2)² +6(-2) +36 = -1 -12 +36 = 23
f(-2) = 4(-2) -15 = -8 -15 = -23
These values are different, so there is a discontinuity at x=-2. (True)
IncreasingThe graph shows the function is increasing everywhere in its domain. (True)
DecreasingThe function is increasing everywhere. (False)
DomainThe function is undefined at x=4. The range does not include all real numbers. (False)
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
Answers
A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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Can someone please help?
Answers
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
What is between tenths on a number line?
Answers
Answer:
One twentieths (if you're asking for numbers smack dab between two tenths numbers) or anything with a denominator above or equal to eleven (if you're just talking about any number between two tenths numbers.
Step-by-step explanation:
Hope this helped!
A football club is the only one in its region and is therefore able to behave like a monopolist. It sells tickets to Adults (a) and Juniors (j), whose demand curves are given by:
Pa = 200 − Qa
Pj = 160 − Qj
Additionally, the club’s total costs are given by = 20Qi
The club hires an economist to consider its pricing strategy and receives the advice that it should charge different prices to each type of supporter. Find the prices it sets in both markets, the sales (output) in each and its overall level of profit and illustrate profit maximising outputs and prices of each consumer type on a graph (one graph for each type of consumer). Calculate consumer surplus in this case.
Answers
Answer:
Adult market
price: 110sales: 9900profit: 8100consumer surplus: 9000Junior market
price: 90sales: 6300profit: 4900consumer surplus: 5600Total profit: 13000
Total consumer surplus: 14600
Step-by-step explanation:
Given Adult (a) and Junior (j) demand equations Pa = 200 -Qa and Pj = 160 -Qj, and cost equation C = 20Q, you want to find the price in each market that maximizes profit, the sales in each market, and the consumer surplus, and a graph of profit-maximizing sales and prices.
RevenueEach demand equation is of the form P = Pmax -Q, where P is the price that will result in sales of Q tickets. The revenue (R) in each case is the product of numbers of tickets sold (Q) and the price at which they are sold (P).
R = QP = Q(Pmax -Q)
ProfitThe profit is the difference between revenue and cost.
Profit = R - C = Q(Pmax -Q) -20Q
Profit = Q(Pmax -20 -Q)
Writing the demand equation in terms of P, we find ...
Q = Pmax -P
Substituting this into the Profit equation gives ...
Profit = (Pmax -P)(Pmax -20 -(Pmax -P))
Profit = (Pmax -P)(P -20)
The profit function describes a downward-opening parabolic curve with zeros at P=Pmax and P=20. The maximum profit is on the line of symmetry of this curve, halfway between these values of P:
Price for maximum profit = (Pmax +20)/2 = Pmax/2 +10
PricesIn the adult market, Pmax = 200, so the profit-maximizing ticket price is ...
Pa = 200/2 +10 = 110 . . . . price for maximum profit in Adult market
In the Junior market, Pmax = 160, so the profit-maximizing ticket price is ...
Pj = 160/2 +10 = 90 . . . . price for maximum profit in Junior market
SalesUsing the revenue equation, we find the sales in each market to be ...
Qa = 200 -Pa = 200 -110 = 90
Ra = Qa·Pa = 90(110) = 9900 . . . . sales in Adult market
Qj = 160 -Pj = 160 -90 = 70
Rj = Qj·Pj = 70(90) = 6300 . . . . sales in Junior market
Overall ProfitThe profit in each market is ...
Adult market profit = 90(110 -20) = 8100
Junior market profit = 70(90 -20) = 4900
The overall profit will be the sum of the profits in each market:
Overall profit = 8100 +4900 = 13000
Consumer surplusThe consumer surplus in each market is the area below the demand curve and above the price point. It is half the product of the maximum price and the quantity actually sold.
CSa = (1/2)(200)Qa = 100(90) = 9000
CSj = (1/2)(160)(Qj) = 80(70) = 5600
The total consumer surplus is ...
CS = CSa +CSj = 9000 +5600 = 14,600 . . . . total consumer surplus
Graph
The first attachment shows the sales (output) in each market (red=Adult, purple=Junior) as a function of ticket price. It also shows the corresponding profit (orange=Adult, blue=Junior). The profit-maximizing price point is marked on each curve. You will note that it is different from the output-maximizing price point.
The second attachment illustrates the consumer surplus in each market. That graph has price on the vertical axis, and quantity on the horizontal axis. The colors correspond to the colors on the graph in the first attachment.
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answers
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
Find an equation of a plane through the point (3, 0, 2) which is orthogonal to the linex=?2+3t,y=2+4t,z=?1?3tin which the coefficient of x is 3.
Answers
Answer: 3x + 4y - 3z - 3 = 0
Step-by-step explanation:
with the given point (3, 0, 2), the plane is orthogonal to this line so it
has directional ratios (3, 4, -3)
therefore the given equation can be written as;
(x+2)/3 = (y-2)/4 = (z+1)/-3
so equation of the plane passing through point x1, y1 and z1 in the one point form is given as;
a(x-x1) + b(y - y1) + c(z -z1) = 0
abc represent the direction ratio
so we substitute
3(x-3) + 4(y-0) + (-3(z-2)) = 0
3x - 9 + 4y - 0 - 3z + 6 = 0
3x + 4y - 3z - 3 = 0
therefore the equation of the plane through the point is 3x + 4y - 3z - 3 = 0
You move up 5 units and down 3 units. You end at (2, 0). Where did you start?
Answers
Answer:
(0,0)
Step-by-step explanation:
Do the opposite. (2-5+3,0) is (0,0)
2
A circle has a diameter of 26 feet.
Find its circumference and area.
Answers
Answer:
diameter= 26 ft.
so, radius= diameter/2 =26/2= 13 ft.
circumference of circle = 2πr
= 2×22/7×13
=26×22/7
=572/7
=81.7142857 ft
Area of circle= πr²
=22/7×13²
=22/7×169
=3718/7
=531.142857 ft ²
hope it helps u
plzz plzz plzz mark as brainliest
I will give brainliest out please help me answer the unsolved ones
Answers
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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