The radius of the cone's base in the unit is 9*7x².
Which expression represents the radius of the cone's base, in units?Given:
The volume of a cone is 3*7x³ cubic units Its height is x units.To find:
The expression represents the radius of the cone's base, in units.Solution:
As we know, the volume of the cone formula is
V = πr²h/3
So, lets us compare the above formula with the given expression;
πr²h/3 = 3*7x³
Here, h is represented as x, we get;
πr²x/3 = 3*7x³
πr²/3 = 3*7x²
r²= 9*7x²
Hence, the radius of the cone's base, in units, is 9*7x².
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
The inequality represented by the graph is; B: y > 3x + 2
How to Interpret Inequality Graphs?
We are told that the line goes through the coordinates;
(-3, -7) and (0, 2)
Now, formula to find the slope is;
m = (y2 - y1)/(x2 - x1)
m = (2 - (-7))/(0 - (-3))
m = 9/3
m = 3
Since it's a dashed straight line and everything to the left is shaded, then it means that the inequality represented by the graph is;
y > 3x + 2
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Answer:
B
Step-by-step explanation:
edge 23
Which describes Which is a perfect square?
72
81
90
99
Answer:
81
Step-by-step explanation:
A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.
[tex]9^{2} = 81[/tex]
Answer: 81
Step-by-step explanation:
81 can be perfectly square rooted into 9. [tex]\sqrt{81}=9[/tex]
Someone please help me
The top number is 18
Answer:
x = 24
Step-by-step explanation:
Since this is a right angle, we can use the Pythagorean Theorem to find x. In the formula, a^2 + b^2 = c^2, variables a and b represent the lengths of the legs, and variable c represents the length of the hypotenuse.
a^2 + b^2 = c^2
18^2 + x^2 = 30^2
324 + x^2 = 900
x^2 = 576
x = 24
Instructions: Find the measure of the indicated angle to the nearest degree.
The measure of the indicated angle to the nearest degree is 47°.
What is the measure of the angle?Given the data in the question;
Adjacent = 36Hypotenuse = 53Angle θ = ?From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
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Hank runs a successful hot dog stand right across from the arch at the University of Georgia in downtown Athens. Hank has to order his hot dogs, buns, mustard, relish, and all other condiments in bulk, as well as pay taxes, licensing fees, and other small business expenses. Therefore, Hank has a relatively large “sunk” cost associated with his business – it averages out to $950 per week just to keep the cart open. The cost of producing hot dogs is given by C(h) = 950 + .45(h). Where h is the number of hot dogs and C(h) is the cost. If he sold 100 hotdogs at $10.25 each, how much profit would he make for the week?
The profit he would make in one week is $30.
What is Hank's profit?Profit is the total revenue less total cost.
Total revenue = price of one hot dog x number of hotdogs sold
$10.25 x 100 = $1025
Total cost = 950 +( 0.45 x 100)
950 + 45 = 995
Profit = 1025 - 995 = $30
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What divided by 4 equals 9/4
( 9/4= Divided by 4 )
Answer
16/9
Step-by-step explanation:
I don't know if this is right or not and I'm sry if its wrong
but 16/9 divided by 4 = 9/4
A has the coordinates (-4, 3) and B has the
coordinates (4, 4). If Do,1/2(x, y) is a dilation of AABC,
what is true about the image AA'B'C'? Check all that
apply.
If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image
△A'B'C' exist AB exists parallel to A'B'.
What is a coordinate plane?Any point in the coordinate plane exists directed by a point (x, y), where the x value exists the position of the point with respect to the x-axis, and the y value exists the position of the point with respect to the y-axis.
A dilation exists a transformation [tex]$D_{o,k} \frac{1}{2} (x, y)[/tex], with center O and a scale factor of k that exists not zero, that maps O to itself and any other point P to P'. The center O exists as a fixed point, P' exists as the image of P, and points O, P, and P' exist on the exact line.
In a dilation of [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex], the scale factor, 1/2 exists mapping the original figure to the image in such a manner that the distances from O to the vertices of the image exist half the distances from O to the original figure.
Also, the size of the image exists half the size of the original figure.
If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image △A'B'C' exist AB is parallel to A'B'.
[tex]$D_{o,k} \frac{1}{2} (x, y) = (\frac{1}{2} x, \frac{1}{2}y)[/tex]
The distance from A' to the origin exists half the distance from A to the origin.
Therefore, the correct answer is option A). △ A'B'C' exist AB is parallel to A'B'.
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Which graph shows the system
x²+y=2
x²+y²=9?
Explain or show how to determine if the following coordinates are a solution to the following system of linear inequalities. y<4x+8 y>x-6
The inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.
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In a survey of 1002 people, 701 (which is 70%) said that they voted in the most recent presidentia l election (based on data from ICR Research Group). The margin of error for the survey was 3 percentage points. However, actual voting records show that only 61% of all eligible voters actually did vote. Does this necessarily imply
Based on the percentage of people who actually voted and the margin of error, the data implies that people lied when responding to the survey.
What is the evidence that people lied?The evidence that people lied about voting would bet be shown by the confidence interval. If the confidence interval of the survey does not have the actual percentage of people who voted in it, then people lied.
The confidence interval is:
= Average ± Margin of error
Solving:
= 70% + 3%
= 73%
= 70% - 3%
= 67%
Confidence interval is:
67% - 73%
The actual percentage of 61% who voted is not in this interval which means that some people lied about voting in the survey.
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Year: %Households:
1999 12.3
2000 18.2
2001 24.4
2002 25.7
2003 27.9
Estimate the instantaneous rate of change in percent of households that played games over the internet in the year 2000. Use the method of averaging a preceding and following interval AND the method of choosing a surrounding interval.
Based on the table showing the percentage of households playing games over the net, the average rate of change from 1999 to 2003 is 3.9% per year.
What is average rate of change?This can be found as:
= (27.9 - 12.3) / 4 years
= 3.9% per year
In 2000, the instantaneous rate of change would be:
= (Rate in 2001 - Rate in 1999) / difference in years
= (24.4 - 12.3) / (2001 - 1999)
= 6.05%
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In the figure below, O is the center of the circle. Name a diameter of the circle.
The diameter of circle O in the image given is: AB.
What is the Diameter of a Circle?The diameter of a circle can be referred to as the largest chord in a circle which is the line segment that passes through the center of a circle with both ends on the circle.
In the image given, AB is the largest chord and also passes through the center of the circle, O.
Thus, the diameter is: AB.
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Can someone help me please?
A. 0.43, because 13 of the 30 days were cloudy.
B.0.35, because 13 of the 37 days were cloudy.
C.0.22, because 13 of the 60 days were cloudy.
D.0.80, because 24 of the 30 days were cloudy.
Using the probability concept, the correct option of the probability of a day in May being cloudy in Sacramento is:
A. 0.43, because 13 of the 30 days were cloudy.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For Sacramento, 30 days were considering, of which 13 days were cloudy, hence the probability of a day in May being cloudy in Sacramento is given as follows:
p = 13/30 = 0.43.
Hence the correct option is:
A. 0.43, because 13 of the 30 days were cloudy.
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10 Points + BRANIEST
Answer:
Step-by-step explanation:
So, we’re probably looking at a n9-m0 cusp, since adding 0 to a number gives a sum lower than adding 9 to a slightly smaller number, something that isn’t true elsewhere in the cycle.
We need a n9 where the sum n+9 is divisible by 3. 9 is divisible by 3 already, so n must be divisible by 3 as well. So, it’s 0, 3, 6, or 9.
Taking as the most likely 3 (because a 39 year old is more likely than a 9 year old, 69 year old, or 99 year old to have a child who doesn’t already know their father’s age) we’ll try 39, 40. 3+9=12, 4+0=4, 12/3=4, this is a possible solution.
Do the others work?
0+9=9, 1+0=1, 9/4=/=1
6+9=15, 7+0=7, 15/4=/=7
9+9=18, 1+0+0=1, 18/4=/=1
1+2+9=12, 1+3+0=4, 12/3=4
there are at least two possibles. the father was correct, the father cannot determine his age from what she has been told, she must guess. From what she knows of him, is it more likely that he’s 39, or 129, or even older?
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)? OA X=-9 OB. Oc y=-9 D. y=-4
Which of the x-values are solutions to the following inequality? x < 100
help pls i need now
Answer:
A and B
Step-by-step explanation:
x < 100 means x is less than 100. Therefore, pick any x-values that are less than 100 which are x = 54 and x = 89.
Hence, A and B are the answer.
. If sin(x + y)=sin x.cos y+cos x.sin y, then find the value of sin 75 degrees
Answer:
[tex]\sf \dfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]
Step-by-step explanation:
Trigonometry:75 = 45 + 30
Sin (x + y) = Sin x *Cos y + Cos x * Sin y
Sin (45 + 30) = Sin 45 * Cos 30 + Cos 45 * Sin 30
[tex]\sf =\dfrac{1}{\sqrt{2}}*\dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}* \dfrac{1}{2}\\\\\\=\dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}\\\\\\=\dfrac{\sqrt{3}*\sqrt{2}}{2*\sqrt{2}*\sqrt{2}}+\dfrac{1*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\\\=\dfrac{\sqrt{6}}{2*2}+\dfrac{\sqrt{2}}{2*2}\\\\\\=\dfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]
The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Group of answer choices random variable probability distribution conditional probability sample space
The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.
According to the statement
we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.
So,
For this purpose, we know that the
A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.
Due to this reason The Probability Distribution is a correct option.
So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.
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Twenty-one is 25% of what number?
A. 5.25
B. 84
C. 10.5
D. 63
Answer: 84
Step-by-step explanation:
When substituting this question into an algebraic equation you can write it as:
21=.25x
(x clearly represents the number you are trying to find)
When you divide both sides by .25 to isolate x you get x=84
The angle measurements in the diagram are represented by the following expressions.
Answer:
Angle A= 30
Step-by-step explanation:
Angle A and B are same side interior
So A + B = 180
x = 8
6(8)-18=30
Answer:23
Step-by-step explanation:
jaja
A British pound cost $2.00 in U.S. dollars in 2008, but $1.27 in U.S. dollars in 2017. a)Was the pound weaker or stronger against the dollar
The pound was stronger in 2008 against the dollar than in 2017.
The Pound to greenback rate reached a high of $2.649 on the sixth Mar 1972. That remains the most powerful the Pound has been towards USD because it freely floated in 1971.
One might count on that the strongest economies might have the most powerful international currencies; but, that is not always the case. It turns out that lengthy-term movements in forex costs are extra essential than alternate quotes, that's why the British pound is worth extra than the U.S. dollar.
What topics is how the price of that forex adjustments over the years relative to different currencies. Historically, for over 20 years one U.S. dollar has been really worth less than one British pound. As of July 31, 2020, the greenback is sitting around 1.32 to at least one pound. 2 this is down from 1.68 in may additionally 2014 and 1. forty in March 2018.
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Statement
The wastes from
nuclear power plants
are very toxic.
Nuclear power plants
produce less air
pollution than power
plants that use fossil
fuels.
Nuclear power plants
are safe.
The benefits of nuclear
power outweigh the
risks.
How my answer changed
Part of the lesson or other evidence that
changed my mind supported my original
answer
H
The new statement will be:
The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that from powerplants that make use of fossil fuels.Power plants that are Nuclear are regarded as safe.The risks of nuclear power is much more lower than the benefits.What changed my mind in the above?Nuclear energy is known to be one that produce a lot of radioactive waste and this tends to pose a threat to human health and the environment.
Hence, The new statement will be:
The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that from powerplants that make use of fossil fuels.Power plants that are Nuclear are regarded as safe.The risks of nuclear power is much more lower than the benefits.Learn more about nuclear power from
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suppose sin(A) = 1/4. use the trig identity sin^2(A)+cos^2(A)=1 to find cos(A) in quadrant II. around to ten-thousandth.
a. 0.1397
b. 0.4630
c. -0.8572
d. -0.9682
In quadrant II, [tex]\cos(A)[/tex] will be negative. So
[tex]\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = -\sqrt{1 - \sin^2(A)} = -\dfrac{\sqrt{15}}4 \approx \boxed{-0.9682}[/tex]
The requried, rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.
To find cos(A) in quadrant II, we can use the given information and the trigonometric identity [tex]sin^2(A) + cos^2(A) = 1[/tex].
Given [tex]sin(A) = 1/4[/tex], we can find [tex]cos(A)[/tex] as follows:
[tex]sin^2(A) + cos^2(A) = 1[/tex]
[tex](1/4)^2 + cos^2(A) = 1[/tex]
[tex]1/16 + cos^2(A) = 1[/tex]
Now, let's solve for [tex]cos^2(A)[/tex]:
[tex]cos^2(A) = 1 - 1/16[/tex]
[tex]cos^2(A) = 16/16 - 1/16[/tex]
[tex]cos^2(A) = 15/16[/tex]
Next, find the value of [tex]cos(A)[/tex] by taking the square root:
[tex]cos(A) = \pm \sqrt{(15/16)[/tex]
Since we are in quadrant II, where cosine is negative, we take the negative value:
[tex]cos(A) \approx -\sqrt{(15/16)[/tex]
Now, calculate the approximate value of cos(A):
[tex]cos(A) \approx -0.9682[/tex]
Rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.
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Select the correct answer from each drop-down menu.
The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0.
The equation of this circle in standard form is. The center of the circle is at the point, and its radius is units
Step-by-step explanation:
the equation in the standard form is :
( x - 2 ) 2+ ( Y + 3 ) 2 = 18
the center is at the point ( 2, - 3 ).
its radious is : /18 = 3/ 2 units
The length of each edge of a cube is decreased by $40\%$. By what percent does the volume of the cube decrease
The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $30 for a booth at the fair, and the ingredients for each cake cost $2. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold?
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
How many cakes will they have sold?
We know that the costs are:
$30 for the booth at the fair.$2 for each piece of cake they sell.And the revenue is:
$8 for each piece of cake.So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $2*x - $30
p(x) = $6*x - $30
We want to find the value of x such that p(x) = 0, then:
0 = $6*x - $30
x = $30/$6 = 5
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
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Line a is perpendicular to line b. if the slope of line a is 7 what is the slope of line b
Answer:
1/7
Step-by-step explanation:
When 2 lines are perpendicular the gradient of one is the reciprocal of the other :
If the gradient of A was 2 the gradient of B would be 1/2.
If the gradient of a is 7 the gradient of b would be 1/7 .
Hope this helped and have a good day
Mr. Mendez awards extra credit on quizzes to his students with quiz grades that exceed the class mean. Given that 107 students take the same quiz, what is the largest number of students who can be awarded extra credit
Answer:
106
Step-by-step explanation:
If 1 student gets a 1, and 106 get a 100, then the mean will be 99.99, and 106 students will get the extra credit.
Annel sells a phone which costs $180 and earns $9 commission. If he sells $640 worth of phones the following days, how much will he earn in commission?
The percentage of the cost of the phones Annel earns in commission is 5%. If he sells $640 worth, the amount he earns as percentage will be $32.
How can the amount Annel earns be found?The amount in commission Annel earns when he sells the phone worth $180 = $9
The percentage of the amount sold, Annel earns as commission is therefore;
[tex] \frac{9}{180} \times 100 = 5\%[/tex]
The amount earned as commission if he sells $640 worth of phones is found as follows;
Amount earned = 5% × 640 = 32
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This question is down below. The picture attached below.
Thanks.
The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
Given an equation showing profits of A Christmas vendor as
P=-0.1[tex]g^{2}[/tex]+30g-1200.
We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.
To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.
665.60=-0.1[tex]g^{2}[/tex]+30g-1200
0.1[tex]g^{2}[/tex]-30g+1200+665.60=0
0.1[tex]g^{2}[/tex]-30g+1865.60=0
Divide the above equation by 0.1.
[tex]g^{2}[/tex]-300g+18656=0
Solving for g we get,
g=[300±[tex]\sqrt{(300)^{2}-4*1*18656 }[/tex]]/2*1
g=[300±[tex]\sqrt{90000-74624}]/2[/tex]
g=[300±[tex]\sqrt{15376}[/tex]]/2
g=(300±124)/2
g=(300+124)/2 , g=(300-124)/2
g=424/2, g=176/2
g=212,88
Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.
Put the value of P=1500 in equation P=-0.1[tex]g^{2}[/tex]+30g-1200.
-0.1[tex]g^{2}[/tex]+30g-1200=1500
0.1[tex]g^{2}[/tex]-30g+1500+1200=0
0.1[tex]g^{2}[/tex]-30g+2700=0
Dividing equation by 0.1.
[tex]g^{2}[/tex]-300g+27000=0
Solving the equation for finding value of g.
g=[300±[tex]\sqrt{300^{2} -4*1*27000}[/tex]]/2*1
=[300±[tex]\sqrt{90000-108000}] /2[/tex]
=[300±[tex]\sqrt{-18000}[/tex]]/2
Because [tex]\sqrt{-18000}[/tex] comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.
Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
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