Answer:
C , -2
Step-by-step explanation:
Replace X in the equation with 2
f(2) = 5(2) - 12
f(2) = 10-12
f(2) = -2
Answer:
[tex]f(2)=5(2)-12\\\\=10-12\\=-2 \\[/tex]
Step-by-step explanation:
option C
please simplify this
Answer:
The answer is 4√3 - 6
Steps
(8√6mn + 6√8mn ) / 2√2mn
Factor out 2√mn from the expression
That's
2√mn × ( 4√6 - 3√8) / 2√2mn
Next reduce the fraction with 2
We have
√mn × ( 4√6 - 3√8) / √2mn
Factor √2 from the denominator
√mn × ( 4√6 - 3√8) / √2(√mn)
√mn will cancel each other
we get
( 4√6 - 3√8) / √2
Simplify the radical expression
That's
( 4√6 - 3× 2√2) / √2
= ( 4√6 - 6√2) / √2
Rationalize the surd
We get
( 4√6 - 6√2) / √2 × (√2 / √2)
= ( 4√6 - 6√2) (√2) / (√2)²
= 4√12 - 12 / 2
= (8 √3 - 12) / 2
Factor out 2 from the numerator
That's
2( 4 √ 3 - 6 ) /2
2 will cancel each other
so the final answer will be
4√3 - 6
Hope this helps you
Find the length of AC in a triangle
Answer:
9.35
Step-by-step explanation:
AAS formula is easier if you add 12+90 then subtract it from 180, thats angle A.
then just write out the formula
sinA/a = sinB/b
David's gasoline station offers 4 cents off per gallon if the customer pays in cash. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. This situation is an example of what type of discrete probability distribution
Answer: binomial probability distribution
Step-by-step explanation:
given data:
n = 15
p = 0.4
10<=x<=15
From the given information Above,
we know customers are independent and probability of success is constant. Hence, our X obeys binomial distribution with given data’s n=15 and p=0.40.
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x2 + 23x − 132, y = 0; about the y−axis
Answer:
V = 23π/6
Step-by-step explanation:
V = 2π ∫ [a to b] (r * h) dx
y = −x² + 23x − 132
y = −(x² − 23x + 132)
y = −(x − 11) (x − 12)
Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12
r = x
h = −x² + 23x − 132
V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx
V = 23π/6
Perform the indicated operation.
Answer:
√75 = 5√3 and √12 = 2√3 so √75 + √12 = 5√3 + 2√3 = 7√3.
Answer:
[tex] 7\sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{12} \: can \: be \: simplified \: as \: 2 \sqrt{3} \: and \: \sqrt{75} \: canbe \: simplified \: as \: 5 \sqrt{3} \\ after \: simplifying \: we \: can \: add \: them \: up \\ 2 \sqrt{3} + 5 \sqrt{3} = 7 \sqrt{3} [/tex]
An object is launched directly in the air speed of 16 feet per second from a platform located 5 feet above the ground. The position of the object can be modeled using the function f(x)=-16t^2+16t+5, where t is the time of seconds and f(t) is the height of the object. What is the maximum height in feet that the object will reach?
Answer:
The maximum height that the object will reach is of 9 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
In this question:
[tex]f(t) = -16t^{2} + 16t + 5[/tex]
So
[tex]a = -16, b = 16[/tex]
The instant of the maximum height is:
[tex]t_{v} = -\frac{16}{2*(-16)} = 0.5[/tex]
The maximum height is:
[tex]f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9[/tex]
The maximum height that the object will reach is of 9 feet.
Answer:
24
Step-by-step explanation:
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
The correct answer is the first one of your list of options:
"Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points."
Step-by-step explanation:
Since the y-intercept is -6, then the point (0, -6) is a point on the line.That is x = 0 and y = -6. From there you move according to the slope value "2 = 2/1" which means two units of rise when the run is one.
Then, from (0, -6) move up 2 units and then right one unit. The new point should also be a point on the line. Join the two points with a line to graph the function.
Help?????????????????????
Answer:
no
Step-by-step explanation:
your answer is correct
we have more than one y for one x.
then it's not a function
In the multiplication sentence below, which numbers are the factors? Check
all that apply.
7x3 = 21
Answer:
The factors are 7 and 3
Step-by-step explanation:
The factors of a multiplication sentence are the numbers that are being multiplied for the product (or answer).
a quadrilateral must be a parallelogram if one pair of opposite sides is:
Answer:
A
Step-by-step explanation:
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
Option C is the correct answer.
We have,
In a quadrilateral, if one pair of opposite sides are parallel and equal in length, then the quadrilateral must be a parallelogram.
This is one of the properties of parallelograms.
This also means,
One pair of opposite sides is congruent and parallel.
Thus,
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
Learn more about parallelograms here:
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Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the planex + 9y + 4z = 27.
Answer:
81/4
Step-by-step explanation:
From the given information; we are to use Lagrange multipliers to find the volume of the largest rectangular box
The coordinate planes and the vertex given in the plane is x + 9y + 4z = 27.
By applying Lagrange multipliers, we have;
[tex]fx = \lambda gx[/tex]
where;
[tex]f: V = xyz[/tex]
[tex]g : x + 9y + 4z = 27[/tex]
From; [tex]fx = \lambda gx[/tex]
[tex]yz = \lambda[/tex] --------- equation (1)
From; [tex]fy = \lambda gy[/tex]
[tex]xz = 9 \lambda[/tex] --------- equation (2)
From; [tex]fz = \lambda gz[/tex]
[tex]xy = 4 \lambda[/tex] --------- equation (3)
Comparing and solving equation (1),(2) and (3);
[tex]\lambda x = 9 \lambda y = 4 \lambda z[/tex]
divide through by [tex]\lambda[/tex]
x = 9 y = 4z
3x = 27
x = 27/3
x = 9
From x = 9y
9 = 9 y
y = 9/9
y = 1
From
x = 4z
9 = 4 z
z = 9/4
Thus; the Volume of the largest rectangular box = 9 × 1 × 9/4
= 81/4
According to creditcard , the mean outstanding credit card debt of college undergraduate was $3173 in 2010. A researcher believes that this amount has decreased since then.
Required:
a. Determine the null and alternative hypotheses.
b. Explain what it would mean to make a Type I and Type Il error.
Answer:
a. The null and alternative hypothesis can be written as:
[tex]H_0: \mu=3173\\\\H_a:\mu< 3173[/tex]
b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.
A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.
Step-by-step explanation:
We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.
A researcher believes that this amount has decreased since then.
Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.
The null and alternative hypothesis can be written as:
[tex]H_0: \mu=3173\\\\H_a:\mu< 3173[/tex]
I NEED HELP PLEASE, THANKS! :)
Answer: G ∩ M = {Anael, Max}
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Step-by-step explanation:
intersection ∩ - items found in BOTH sets
union U - the joining of the sets. include EVERYTHING in the sets.
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Anael, Barek, Bay, Carlin, Kai, Max}
G ∩ S: Anael and Max are found in both sets
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Acton, Anael, Barek, Carlin, Dario, Kai}
G U S: include everything in G and everything in S. If found in both sets, only list it once.
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Notice that Acton and Anael are in both sets but we only list them once.
What is equation created from the sqrt(x+2)+2))^2
Answer:
x + 4√(x + 2) + 6
Step-by-step explanation:
All we need to do is expand by using FOIL (First, Outside, Inside, Last):
x + 2 + 2√(x + 2) + 2√(x + 2) + 4
Then we combine like terms to get our final answer:
x + 2 + 4√(x + 2) + 4
x + 4√(x + 2) + 6
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000586 mm. Assume a random sample of 59 sheets of metal resulted in an x¯ = .2905 mm. Calculate the 95 percent confidence interval for the true mean metal thickness.
Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Which expression represents the phrase 4 times the sum of 9 and 6
A. 4x (9+6)
B.4x 9+6
C.9+ 6x4
D. 9+ (6x4)
Answer:
The answer is option A
4 x ( 9 + 6)
Hope this helps you
Four swimmers, Daniela, Camille, Brennan, and Amy, compete on a relay team. For the first race of the year, Daniela begins the relay. The other three swimmers can swim in any order. The sample space, S, for the event is shown below. S = {CBA, CAB, BAC, BCA, ACB, ABC} After the first race, it is determined that Camille is a strong finisher and should be the final swimmer in the race.
Answer:
A = {CBA, CAB, BCA, ACB}
Step-by-step explanation:
Answer: A. {CBA, CAB, BCA, ACB}
Step-by-step explanation: Id appreciate it if anyone else could explain why that is the answer. (?)
Unknown angle problems
Answer: x =40
Step-by-step explanation:
x +x +100 = 180 They form a straight line so they add to 180 degrees.
2x + 100 = 180 solve for x by combining like terms
-100 -100 subtract 100 from both sides
2x = 80 Divide both sides by 2
x =40
Answer:
x might be 40°.
Step-by-step explanation:
angle on a straight line =180°
x+100+x =180
2x =180-100
2x=80
2x/2=80/2
x=40°
½y + 4z = x solve for y
Answer:
[tex]y = 2x - 8z[/tex]
Step-by-step explanation:
1/2 y + 4z = x
1/2y = x - 4z
y = 2 (x-4z)
y = 2x - 8z
HELP PLEASE ITS FOR PLATO
Answer:
i think it might be A. 0.2
Step-by-step explanation:
A company determined that the marginal cost, Upper C prime (x )of producing the xth unit of a product is given by Upper C prime (x )equalsx Superscript 4minus2x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $6000.
Answer:
C(x) = 0.2x^5 - x^2 + 6000
Step-by-step explanation:
Given in the question are restated as follows:
Marginal cos = C'(x) = x^4 - 2x ...................... (1)
Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.
Therefore, TC can be obtained by integrating equation (1) as follows:
C(x) = ∫C'(x) = ∫[x^4 - 2x]dx
C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)
Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:
C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)
Equation (3) is the total cost function C.
PLEASE ANSWER FAST, THANKS! :)
Answer:
Step-by-step explanation:
k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8
k = 4; 2k + 2 = 2*4 + 2 = 8 +2 = 10
k =5; 2k + 2 = 2*5 +2 = 10+2 = 12
k=6; 2k +2 = 2*6 + 2 = 12+2 = 14
k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16
k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18
∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78
HELP!! Find the GCF for the list. -6x^2, 15x^3 Find the GCF for the polynomial 32xy-18x^2
Answer:
Step-by-step explanation:
GCF: -6x^2 and 15x^3 the GCF is 3x^2
the GCF for this polynomial is 2x(16y-9x)
Simplify: 1. (x−1)+(12−7.5x) 2. b−(4−2b)+(3b−1) 3. (2p+1.9)−(7−p)
Answer:
1. -6.5x+11
2. 6b-5
3. 3p-5.1
Step-by-step explanation:
[tex]1. \\(x-1)+(12-7.5x)=\\x-1+12-7.5x=\\x-7.5x-1+12=\\-6.5x-1+12=\\-6.5x+11\\\\2.\\b-(4-2b)+(3b-1)=\\b-4+2b+3b-1=\\b+2b+3b-4-1=\\3b+3b-4-1=\\6b-4-1=\\6b-5\\\\3.\\(2p+1.9)-(7-p)=\\2p+1.9-7+p=\\2p+p+1.9-7=\\3p+1.9-7=\\3p-5.1[/tex]
HELP! WILL GIVE BRAINLIEST!
Answer:
(2x+16) + (x) = 180
Step-by-step explanation:
The opposite angles of a quadrilateral inscribed inside a circle will be supplementary angles, meaning that A+C=180, and B+D=180. A+C is not given in the answers below, but B+D is, so that is the correct answer.
Hope this helps! Please give brainliest!!
Answer:
C
Step-by-step explanation:
Opposite angles of a quadrilateral are supplementary
1)5/6 of 3/4÷7/8×2/2
2)3/2of3/4÷8/2
Step-by-step explanation:
[tex] (\frac{5}{6} \times \frac{3}{4} ) \times \frac{8}{7} \times 1 \\ = \frac{5}{8} \times \frac{8}{7} \\ = \frac{5}{7} [/tex]
[tex]( \frac{3}{2} \times \frac{3}{4} ) \times \frac{2}{8} \\ = \frac{9}{8} \times \frac{2}{8 } \\ = \frac{9}{32} [/tex]
Tell whether the following set is an empty set or not.
A = {A quadrilateral having 3 obtuse angles}
Answer:
It is not an empty set
Step-by-step explanation:
A quadrilateral with 3 obtuse angles is possible.
A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.
Let’s say three angles are measuring 91 degrees in a quadrilateral.
91 + 91 + 91 + x = 360
x = 87
The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.
Answer:
It is not an empty set
Step-by-step explanation:
Obtuse angles are angles greater than 90 and less than 180.
There are quadrilaterals having 3 obtuse angles and they are possible.
If we imagine 3 obtuse angles of 91 degrees (obtuse angle), the 4th angle will be
360-91-91-91
=> 87 degrees
So, This quadrilateral can be constructed!
And also with 92, 93, 94 and so on!
So, Set A is not an empty set!
Match each correlation coefficient, r, to its description.
r = −0.08
r = −0.83
r = 0.96
r = 0.06
1.) strong negative correlation
2.) weak positive correlation
3.) weak negative correlation
4.) strong positive correlation
The answers are in order
r = −0.08 --> weak negative correlation
r = −0.83 --> strong negative correlation
r = 0.96 --> strong positive correlation
r = 0.06 --> weak positive correlation
The match of each correlation is given by,
r = −0.08 implies a weak negative correlation
r = −0.83 implies a strong negative correlation
r = 0.96 implies strong positive correlation
r = 0.06 implies weak positive correlation.
We have given that,
The correlation coefficient, r, to its description.
A B
r = −0.08 strong negative correlation
r = −0.83 weak positive correlation
r = 0.96 weak negative correlation
r = 0.06 strong positive correlation
We have to match the given relation
What is the positive and negative correlation?If the correlation coefficient is greater than zero, it is a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.
So the correct match is,
r = −0.08 implies a weak negative correlation
r = −0.83 implies strong negative correlation
r = 0.96 implies strong positive correlation.
r = 0.06 is implies weak positive correlation.
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Help me please thank you
Answer:
104 degrees
Step-by-step explanation:
The angle of the whole set of lines is 140 degrees. In addition, the partial angle of it is also given--which is 36 degrees. In order to solve for the remaining part, Subtract 36 degrees from 140 degrees to get 104 degrees.
Express $0.\overline{1}+0.\overline{01}+0.\overline{0001}$ as a common fraction.
Answer:
[tex]\dfrac{1213}{9999}[/tex]
Step-by-step explanation:
We are required to express [tex]0.\overline{1}+0.\overline{01}+0.\overline{0001}[/tex] as a common fraction.
The bar on top of the decimal part indicates the decimal number is a repeating decimal.
Therefore:
[tex]0.\overline{1}=\dfrac{1}{10-1}= \dfrac{1}{9}\\\\0.\overline{01}=\dfrac{1}{100-1}= \dfrac{1}{99}\\\\0.\overline{0001}=\dfrac{1}{10000-1}= \dfrac{1}{9999}\\\\\\$Therefore$:\\0.\overline{1}+0.\overline{01}+0.\overline{0001} \\=\dfrac{1}{9}+\dfrac{1}{99}+\dfrac{1}{9999}\\\\=\dfrac{1213}{9999}[/tex]