Marquis used the steps below to find the solution to the inequality Negative 5. 6 greater-than-or-equal-to x 3. 6. Step 1 Subtract 3. 6 from both sides of the inequality. Negative 5. 6 greater-than-or-equal-to x 3. 6. Negative 5. 6 minus 3. 6 greater-than-or-equal-to x 3. 6 minus 3. 6. Negative 9. 2 greater-than-or-equal-to x. Step 2 Interpret the results. X greater-than-or-equal-to negative 9. 2 x is greater than or equal to –9. 2. Step 3 Draw a number line. A number line going from negative 9. 5 to negative 8. 8. A closed circle is at negative 9. 2. Everything to the left of the circle is shaded. Which describes the first step in which Marquis made an error? In Step 1, Marquis should have added 3. 6 to each side of the inequality. In Step 2, Marquis should have interpreted the results as x less-than-or-equal-to negative 9. 2, which means that x is less than or equal to –9. 2. Marquis should have used an open circle at –9. 2 in Step 3. Marquis should have shaded the number line to the right of –9. 2 in Step 3.
Marquis solutions are;
The value of x is less than or equal to -9.2.Negative 9.2 is greater than or equal to x.The closed circle is at -9.6 that is everything to the left of the circle is shaded.What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
Marquis used the steps below to find the solution to the inequality Negative 5.6 greater than or equal to x + 3.6 that can be written as
\(\rm -5.6 \geq x + 3.6\)
A. Then the value of x will be
- 5.6 ≥ x + 3.6
-5.6 - 3.6 ≥ x
-9.2 ≥ x
B. Negative 9.2 is greater than or equal to x.
C. The number line is shown. The closed circle is at -9.6 that is everything to the left of the circle is shaded.
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A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that
attends. Write an equation where d is the total donation and p in the number of people that attend.
Answer:
200 divided 4
Step-by-step explanation:
HELP ME PLEASE! ASAP
the answer C
the vertical distance after when D=2
is T
4. A group of 110 people attendedan art festival to raise money forcharity. Both faculty members andstudent attended. The standarddonation was $5 for faculty and $2for students. If $340 was raised,how many students attended thefestival? *0 750 70O 80O1 40
The number of students who attended the art festival was 70. let's assume the number of faculty members who attended the festival is F, and the number of students who attended is S. We are given that the total number of people who attended is 110, so we can write the equation F + S = 110.
We are also given that the standard donation for faculty members is $5, and the standard donation for students is $2. The total amount raised from the donations is $340. We can write another equation based on the total donation amount: 5F + 2S = 340.
Now we can solve these two equations simultaneously to find the values of F and S. By solving the equations, we find that F = 40 and S = 70. Therefore, 70 students attended the art festival.
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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=x^6, y=1 about the line y=5Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves. x=0, y=1, x=y^8 about the line y=1Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=1/x^3, y=0, x=2, x=6 about y=-3
The volume of first solid is obtained by rotating the region between y=x^6 and y=1 about y=5 is 120π/91 cubic units, The second solid is obtained by rotating the region bounded by x=0, y=1, and x=y^8 about y=1 is 2π/3 cubic units, The third solid is obtained by rotating the region between y=1/x^3, y=0, x=2, and x=6 about y=-3 is 737π/7 cubic units.
The region bounded by the curves y=x^6 and y=1 about the line y=5. To find the volume, we use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(x)^2 - r(x)^2) dx,
where R(x) and r(x) are the outer and inner radii, respectively, and (a,b) is the interval of integration.
Since we are revolving about the line y=5, the outer radius is 5 - y and the inner radius is 5 - y(x^6) (notice that the curves are rotated "vertically" about a "horizontal" line). Thus,
V = ∫(0,1) π[(5-y)^2 - (5-y(x^6))^2] dx
= ∫(0,1) π[25 - 10y + y^2 - 25 + 10y(x^6) - y^2(x^6)^2] dx
= π ∫(0,1) (10x^6 - x^12) dx
= π [ (10/7)x^7 - (1/13)x^13 ] | from 0 to 1
= π [ 10/7 - 1/13 ]
= 120π/91
Therefore, the volume of the solid obtained by rotating the region bounded by y=x^6 and y=1 about the line y=5 is 120π/91 cubic units.
The region bounded by the curves x=0, y=1, and x=y^8 about the line y=1:
To find the volume, we again use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(y)^2 - r(y)^2) dy,
where R(y) and r(y) are the outer and inner radii, respectively, and (a,b) is the interval of integration.
Since we are revolving about the line y=1, the outer radius is 1 and the inner radius is y. Thus,
V = ∫(0,1) π[(1)^2 - (y)^2] dy
= π ∫(0,1) (1 - y^2) dy
= π [ y - (1/3)y^3 ] | from 0 to 1
= 2π/3
Therefore, the volume of the solid obtained by rotating the region bounded by x=0, y=1, and x=y^8 about the line y=1 is 2π/3 cubic units.
The region bounded by the curves y=1/x^3, y=0, x=2, and x=6 about the line y=-3:
To find the volume, we again use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(x)^2 - r(x)^2) dx,
where R(x) and r(x) are the outer and inner radii, respectively, and (a,b) is the interval of integration.
Since we are revolving about the line y=-3, the outer radius is 3 + y(x^3) and the inner radius is -y. Thus,
V = ∫(2,6) π[(3 + y(x^3))^2 - (-y)^2] dx
= π ∫(2,6) (9 + 6y(x^3) + y^2(x^6)) dx
(x^4) + (1/3)(x^3)(1/x^3) + (1/7)(1/x^3) ] | from 2 to 6
= π [ 42 + 54/2 + 1/7 ]
= 737π/7
Therefore, the volume of the solid obtained by rotating the region bounded by y=1/x^3, y=0, x=2, and x=6 about the line y=-3 is 737π/7 cubic units.
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What is 20% of 45?
Thank you for answering this question.
Answer:
9
Step-by-step explanation:
cuz yes
A spinner has 4 equal-sized sections with different colors. You spin the spinner 60 times. The results are shown in the table. Find the theoretical and experimental probabilities of spinning blue.
The theoretical probability is 2/4 and the experimental probability is 2/5.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
You automatically have a 25% (1/4) of getting blue. the odds of you spinning is 60 times and landing on blue is 15/60.
Theoretical Probability = 15/60
Theoretical Probability = 1 / 4
The number of times you spun it and it actually landed on blue. i would suggest making up a reasonable number. I would say 24.
The experimental prob would be:-
P = 24/60
P = 2 / 5
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Chart Rodrigo's total utility for lattes and the marginal utility for the same using information
from the table.
Quantity
Utility
0
14
2
3
4
on ANO
22
28
32
35
5
1)
40
30
Units of Total Utility
20
10
0
1
2
3
4
N
5
Number of Lattés
2)
)
20
15
Units of Total Utility per Latte
10
5
0
1
2
3
4 5
Number of Lattés
The marginal utility is the extra satisfaction derived from the consumption of a product.
How to illustrate the marginal utility?Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.
The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.
The formula for marginal utility will be:
= Total utility difference/Quantity of goods difference
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WILL GIVE 90 POINTS
please help meeee i cant do math
Answer: D
Step-by-step explanation: y=mx+b
b is -2 because when x is 0, y is -2.
"Rise-over-run" is really helpful in this problem, because with every +1 y value, the x value is increased by two, making the slope 1/2.
Therefore making the equation y=1/2x -2
Answer:
Use the slope equation to solve: \((Y_{2} - Y_{1} ) / (X_{2} - X_{1})\)
Pick any two points: (2, -1), (0, -2)
(-2 - -1) / (0 -2)
(-2+1) / (-2) = 0.5
The slope, m, is 0.5
The y-intercept is when x=0, so it is -2
y-intercept = b
The equation is y=mx+b
y=0.5x - 2
y= 1/2x - 2
The answer is D.) y= 1/2x - 2
Please give me Brainliest :)I forgot how to do this
Answer:
it should be -1,1
Step-by-step explanation:
Helps me solve this problem please
Answer:
I Think D.
Step-by-step explanation:
Pls answer, you can get 100 points for answering, I'd give more but i can't.
Step-by-step explanation:
All steps are in picture.
If you have any question about it you can ask.
Thanks
#a
a(1)=1a(n)=3a(n-1)\(\\ \sf\longmapsto a(2)=3a(1)=3(1)=3\)
\(\\ \sf\longmapsto a(3)=3a(2)=3(3)=9\)
\(\\ \sf\longmapsto a(4)=3a(3)=3(9)=27\)
\(\\ \sf\longmapsto a(5)=3a(4)=3(27)=81\)
#b
b(1)=1b(n)=-2+b(n-1)\(\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1\)
\(\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3\)
\(\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5\)
\(\\ \sf\longmapsto b(5)=-2-5=-7\)
In rectangle JKLM, JN is 20 in. Find the length of JL
N
M
Answer: 40
Step-by-step explanation:
\(6^{4x-9} =(\frac{1}{36} )^{x-4}\)
\(\displaystyle \large \boldsymbol {} 6^{4x-9} =\bigg(\frac{1}{36} \bigg)^{x-4} \\\\\\ 6^{4x-9}=(6^{-2})^{x-4 }\\\\\\ 6^{4x-9}=6^{-2x+8} \\\\\\ 4x-9=-2x+8 \\\\\\ 4x+2x=9+8 \\\\\\ \boxed{x=\frac{17}{6}=2\frac{5}{6} }\)
The drivers at a warehouse need to deliver 40,000 packages each day. The warehouse has 128 trucks. Each truck has 350 packages. The drivers deliver all the packages on the trucks. Do the warehouse drivers deliver enough packages
Yes. The warehouse drivers deliver enough packages.
What is an expression?An expression is used to illustrate the information that's given.
In this case, the warehouse has 128 trucks. Each truck has 350 packages. The number of packages that van be delivered will be:
= Number of trucks × Amount in each package
= 128 × 350
= 44800
Since the drivers at a warehouse need to deliver 40,000 packages each day. this means they denied enough packages because 44800 is more than 40000.
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find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
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In general, when solving a radical equation with square roots, you should first
isolate the __and then square both sides.
A. variable
B. radical
C. operator
D. coefficient
The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
How to solve radical equations?To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.
Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
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find the limit using direct substitution. larcaapcalc2 7.1.032. [2286198]
To find the limit using direct substitution, we simply plug in the given value into the function and see what the output is.
we are not given the function or the value we are supposed to plug in, so we cannot provide a specific answer. However, if we were given a function and a value, we would substitute the value into the function and simplify the expression. If the simplified expression does not have any undefined values (such as dividing by zero), then the limit exists and is equal to the output of the simplified expression.
To summarize, finding the limit using direct substitution involves substituting a given value into a function and simplifying the expression. If the simplified expression does not have any undefined values, then the limit exists and is equal to the output of the simplified expression.
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Why do scientists consider RNA the best candidate for the first life-form? Question 13 options: RNA is capable of self-replication and catalysis. RNA has been created in the lab. RNA carries more information than other molecules. RNA is a simple structure.
RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.
An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.
This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.
To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.
The correct option is the first one due to following reasons:
RNA is capable of self-replication and catalysis. RNA is a nucleic acid composed of nucleotides that are linked through a sugar-phosphate backbone. It can serve as a template for the production of complementary strands, making it capable of self-replication. Furthermore, RNA molecules can act as catalysts, facilitating chemical reactions in the absence of enzymes.RNA is more versatile than other molecules because it is able to store genetic information and catalyze reactions. In the lab, RNA has been created to catalyze reactions and replicate, providing evidence of its capacity for self-replication and catalysis.As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.
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. [Equations]
1/6x =4
Answer:
youre answer is here I hope it's right
x=24
NEED HELP WITH NUMBER 5 ON THE PAPER PLS
Answer:
tough luck its 1234567890
In a particular chi-square goodness-of-fit test, there are six categories and 325 observations. Use the 0.10 significance level.
How many degrees of freedom are there?
What is the critical value of chi-square? (Round your answer to 3 decimal places.)
In this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.
To find chi-square goodness-of-fit test question.
To determine the degrees of freedom in this particular chi-square goodness-of-fit test with six categories and 325 observations, you need to subtract 1 from the number of categories. So, the degrees of freedom are:
Degrees of Freedom (df) = Number of Categories - 1
Degrees of Freedom (df) = 6 - 1
Degrees of Freedom (df) = 5
Next, to find the critical value of chi-square at a 0.10 significance level and 5 degrees of freedom, you can use a chi-square distribution table or an online calculator. After consulting the table or calculator, you will find that the critical value of chi-square is:
Critical Value of Chi-Square (rounded to 3 decimal places) = 9.236
So, in this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.
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What is a Normal Probability Plot?
Answer: The normal probability plot is a graphical technique for assessing whether or not a data set is approximately normally distributed. The data are plotted against a theoretical normal distribution in such a way that the points should form an approximate straight line.
Step-by-step explanation:
The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot.
What is a Normal Probability Plot?The normal probability plot is a graphical method for determining whether or not a data set is roughly normally distributed . The points in the data are displayed against a hypothetical normal distribution such that they should roughly form a straight line.
The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot. It is applied to ascertain if a tiny amount of data is representative of a normal distribution.
A graphical method for locating significant deviations from normalcy is the normal probability plot. Outliers, skewness, kurtosis, the requirement for transformations, and mixes are some examples of this. The raw data, residuals from model fits, and estimated parameter values are used to create normal probability charts.
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Quadrilateral PQRS is a rectangle.
Find the measure of _PTQ.
Answer:
∠PTQ = 124°
Step-by-step explanation:
∠QPT = 90° - 62° = 28°
∠PQT = 28°
∠PTQ = 180° - 28° - 28° = 124°
what is the value of 5 in the number 68.513?
Answer:
00000000.1
Step-by-step explanation:
1+1=2-1%000.1
One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?
Answer:
white sold = 16
yellow sold = 12
Step-by-step explanation:
w = # of white sold
y = # of yellow sold
w + y = 28 solve this for w
w = 28 - y
9.95w + 13.5y = 321.20 substitute w = 28-y into this expression and solve for y
9.95(28-y) + 13.5y = 321.20
278.60 - 9.95y + 13.50y = 321.20
278.60 + 3.55y = 321.20
3.55y = 321.20 - 278.60 = 42.60
y = 42.60/3.55 = 12 substitute this into w = 28 - y and solve for w
w = 28 - 12 = 16
MATH EXPERTS PLEASE
evaluate the log expression
Answer:
0, 728
Step-by-step explanation:
㏒\(_{12}\) 1, 728 =
The base 12 logarithm of 1 is 0.
\(sort ( 0,728)\)
The list values are already in order.
0, 728
Factorise (x+2)(x+3), (x+3)(x+1) and (x+3)(x-1)
1. (x+2)(x+3) can be factored into \((x+2)(x+3) = x^2 + 5x + 6.\)
2. (x+3)(x+1) can be factored into (x+3)(x+1) = \(x^2 + 4x + 3.\)
3. (x+3)(x-1) can be factored into (x+3)(x-1) = \(x^2 + 2x - 3.\)
To factorize the expressions, we can use the distributive property of multiplication:
(x+2)(x+3) = x(x+3) + 2(x+3) = \(x^2 + 3x + 2x + 6 = x^2 + 5x + 6\)
Therefore, (x+2)(x+3) can be factored into \((x+2)(x+3) = x^2 + 5x + 6.\)
(x+3)(x+1) = x(x+1) + 3(x+1) =\(x^2 + x + 3x + 3 = x^2 + 4x + 3\)
Therefore, (x+3)(x+1) can be factored into (x+3)(x+1) = \(x^2 + 4x + 3.\)
(x+3)(x-1) = x(x-1) + 3(x-1) = \(x^2 - x + 3x - 3 = x^2 + 2x - 3\)
Therefore, (x+3)(x-1) can be factored into (x+3)(x-1) = \(x^2 + 2x - 3.\)
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carman has saved 80% of the money she needs to buy a new video game. if she saved$36 how much does the video game cost
Carman buy the video game in the cost of $45.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Carman has saved 80% of the money she needs to buy a new video game.
And, she saved the cost $36.
Let total cost of the video game = x
So, We can formulate;
⇒ 80% of x = $36
⇒ 80/100 × x = 36
⇒ 8x = 360
⇒ x = $45
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HELP ME PLZZ, ASAP!!
In your own words explain what Complementary means.
Complementary means something is hard