There are 60 dogs at the doggie daycare, 1/3 of the dogs are large dogs, 1/6 of the dogs are medium dogs, and the rest are small dogs. How many small dogs are there? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 1/17
B. 136
C. 30
D. 2/19
E. 25
Answers
Answer:
C. 30
Step-by-step explanation:
First, you want to make the two fractions have the same denominator. This means, that instead of saying that 1/3 of the dogs being large, you would say that 2/6 of the dogs are large. Then, combine the amount of large and medium dogs, making large and medium dogs 3/6 of all the dogs. The amount of small dogs must complete this fraction, so now we know that 3/6 of the dogs are small. This means half of the dogs are small dogs. Divide 60 by 2, and you have your answer.
The answer would be 30 small dogs
1/3×60 =20 = 20 large dogs
1/6×60=10= 10 medium dogs
20+10=30
60-30=30 = 30 small dogs
Related Questions
Prove whether each argument is valid or invalid. First find the form of the argument by defining predicates and expressing the hypotheses and the conclusion using the predicates. If the argument is valid, then use the rules of inference to prove that the form is valid. If the argument is invalid, give values for the predicates you defined for a small domain that demonstrate the argument is invalid.
The domain for each problem is the set of students in a class.
(c)Every student who missed class got a detention.
Penelope is a student in the class.
Penelope got a detention.
Penelope missed class.
(e)Every student who missed class or got a detention did not get an A.
Penelope is a student in the class.
Penelope got an A.
Penelope did not get a detention.
Answers
(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".
Hypotheses: M(Penelope), D(Penelope)
Conclusion: M(Penelope)
Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:
From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)
From D(Penelope), we have M(Penelope)
So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".
Hypotheses: A(Penelope), ~D(Penelope)
Conclusion: ~M(Penelope)
Using modus tollens, which states that if P implies Q and Q is false, then P must be false,
we can conclude that M(Penelope) is false:
From A(Penelope) and "Every student who missed class or got a detention did not get an A",
we have ~M(Penelope) & ~D(Penelope)
From ~D(Penelope), we have ~M(Penelope)
So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
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what is the solution of sqaure root -4x = 100
Answers
Answer:
I’m pretty sure it’s -2500
Step-by-step explanation:
Answer:
I think it would be x = -2500
Step-by-step explanation:
You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500
PRE CALC HELP NEEDED
Answers
Answer:
\(\dfrac{5e^2}{2}\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.
Given function:
\(y=x^2\ln(2x)\)
Differentiate the given function using the product rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)
\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)
Input the values into the product rule to differentiate the function:
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)
To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:
\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)
Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:
\(\boxed{\dfrac{5e^2}{2}}\)
A(5, 10) and B(13,-2) are two points on the line AB.
The perpendicular bisector of the line AB has gradient
Find the equation of the perpendicular bisector of AB
Answers
Answer:
hope you understand......
-Solve the system of equations – 5x – 5y = 10 and x + 2y = -3 by combining theequations.1 (- 5x(x–5y = 10)+2y -3)5.2 -5y = 10x +2y = -3tryOo y=With final solution coordinate You must answer all questions above in order to submit.attempt out of 2
Answers
We are given the following system of equations:
\(\begin{gathered} -5x-5y=10,(1) \\ x+2y=-3,(2) \end{gathered}\)To solve the system we will multiply equation (1) by 1/5, we get:
\((\frac{1}{5})(-5x-5y)=(\frac{1}{5})(10)\)Solving the operations we get:
\(-x-y=2\)Now we add this to equation (2):
\(-x-y+x+2y=2-3\)Now we associate like terms and solve the operations on the right side:
\((-x+x)+(-y+2y)=-1\)Adding like terms we get:
\(\begin{gathered} 0x+(1)y=-1 \\ y=-1 \end{gathered}\)Therefore, the value of "y" is -1. Now we substitute this value in equation (1):
\(-x-y=2\)Substituting the value of "y = -1":
\(-x-(-1)=2\)Now we solve the operations:
\(-x+1=2\)Now we solve for "x" first by subtracting 1 from both sides:
\(\begin{gathered} -x+1-1=2-1 \\ -x=1 \end{gathered}\)Now we multiply both sides by -1:
\(x=-1\)Therefore, the solution of the system is:
\((x,y)=(-1,-1)\)Can anyone help me here this is a mastery test by the way. Too tired to type it out so I put a photo.
^
|
Answers
Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
Hope this helps. I'll give you my energy.
find the place value of 1 in 382619
Answers
The given number is
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person answered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergraduate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached.
Required:
a. Did every telephone number that could occur in that community have an equal chance of being generated?
b. Did this method of generating telephone numbers result in a simple random sample (SRS) of local residences? Explain.
c. Did this method generate an SRS of local voters? Explain.
d. Is this method unbiased in generating samples of households? Explain.
Answers
Answer:
A) Yes
B) No
C) No
D) No
Step-by-step explanation:
A) Yes, every telephone number that could occur in that community will have an equal chance of being generated because the telephone numbers were generated randomly.
B) No, this method of generating telephone numbers would not result in a simple random sample (SRS) of local residences because the first three digits were generated in a different random way than the last four digits.
C) No, this method would not generate an SRS of local voters because not everybody will be pick up when they call because they may not be at home or they may be too busy to pick up.
D) No, this method is not unbiased in generating samples of households because there will be nonresponse bias since not everyone will pick up the call
If
2/9
of an amount is equal to 14, what is the whole amount equal to
Answers
I think it’s 63.
I divided to get its simplified version. 14÷2 is seven, which would be 1/9. Multiply the denominator by seven, which is 63. You can also look up online to check that. 14 is indeed 2/9 of 63.
FIND THE NUMERICAL VALUES OF THE FACTORS USING LINEAR INTERPOLATION F/P, 23%, 34
Answers
The factor of the expression using linear interpolation is 1139.66
What is linear interpolation?The linear interpolation is the used to estimate the value of a function between any two known values.
The linear interpolation is given as:
F/P, 23%, 34
The factor is then calculated as:
\(Factor = (1 + 23\%)^{34}\)
Express 23% as decimal
\(Factor = (1 + 0.23)^{34}\)
Take the sum of 1 and 0.23
\(Factor = (1.23)^{34}\)
Evaluate the exponent
\(Factor = 1139.66\)
Hence, the factor of the expression using linear interpolation is 1139.66
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Let the Universal Set, S, have 100 elements. A and B are subsets of S. Set A contains 49 elements and Set B contains 53 elements. If the total number of elements in either A or B is 78, how many elements are in A but not in B?
Answers
Solution
- The formula to apply for this question is:
\(\text{Total elements in \lparen A or B \rparen = elements in A + elements in B - elements in \lparen A \& B \rparen}\)- We have been given:
\(\begin{gathered} \text{ Total elements in \lparen A or B\rparen}=78 \\ \text{ elements in A}=49 \\ \text{ elements in B}=53 \end{gathered}\)- Thus, we can apply the formula as follows:
\(\begin{gathered} 78=49+53-X \\ 78=102-X \\ \text{ Subtract 102 from both sides} \\ \\ -X=78-102 \\ -X=-24 \\ \therefore X=24 \\ \\ \text{ This means that the number of elements in A and B }=24 \end{gathered}\)- Now that we know the number of elements in both sets A and B, we can find the number of elements that are in set A by simply subtracting the elements in both A and B from the total number of elements in set A.
- That is,
\(\begin{gathered} \text{ elements in A only}=49-24 \\ \\ \therefore\text{ elements in A only}=25 \end{gathered}\)Final Answer
The answer is 25
What is the answer pleaseee
Answers
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
What is the value of x? A pair of intersecting lines is shown. The angle above the point of intersection is labeled left parenthesis 7 x minus 8 right parenthesis degrees. The angle directly opposite below the point of intersection is labeled left parenthesis 6 x plus 11 right parenthesis degrees. (1 point)
A –19
B 125
C 19
D 55
Answers
The value of x in the angles is 19.
How to find angles in intersecting lines?When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.
Therefore, let's find the value of x in the intersecting lines.
Hence,
7x - 8 = 6x + 11 (vertically opposite angles)
Vertically opposite angles are congruent and they share the same vertex point.
Hence,
7x - 8 = 6x + 11
subtract 6x from both sides of the equation
7x - 8 = 6x + 11
7x - 6x - 8 = 6x - 6x + 11
x - 8 = 11
add 8 to both sides of the equation
x - 8 + 8 = 11 + 8
x = 19
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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What is the answer? As the last one is incorrect
Answers
The best measure of center of the data is (a) mean; because the data are close together
How to determine the best measure of center of the dataFrom the question, we have the dataset of 10 values
In the given dataset, we can see that there are no outliers present in the dataset
By definition, outliers are extreme values.
Since there are no outliers, it means that the mean is the best measure of center
This is because the mean is affected by the presence of outliers and since no outlier is present, we use the mean
From the list of options, we have the mean value to be 42.536
Hence, the true statement is (a)
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The Scale drawing of a rectangular room measures 10 cm long by 6cm wide. The actual width of the room is 15 feet. What is the actual perimeter of the room ,in feet?
Answers
Answer:
80 ft
Step-by-step explanation:
6cm is 15ft
10cm is ?ft
10x15 is 150
150 divided by 6 is 25
25+15+25+15 is 80
Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1:
Answers
2y = 12x - 10
Then simplify by dividing by the number in front of y
Y = 6x - 5
In the equation y=Mx+b ‘M’ is slope
Therefore the answer is 6
differenciate the Function 1/ X3
Answers
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
select all the Transformations that preserve angle measure and segment lengths
Answers
Transformations that preserve angle measure and segment lengths are:
• similarity
,• translation
,• rotation
,• reflection
,•
In western music, an octave is divided into 12 pitches. For the film Close Encounters of the Third Kind, director Steven Spielberg asked composer John Williams to write a five-note theme, which aliens would use to communicate with people on Earth. Disregarding rhythm and octave changes, how many five-note themes are possible if no note is repeated?
Answers
Answer:
This should be a permutation
Step-by-step explanation:
P (n, r) = n!/(n-r)!
P (12,5) = 12!/(12-5)!
P (12,5) = 12!/7!
P(12,5) = 95040
If a number has a factor, then both 2 and 4 are factors?
Answers
Answer:
Step-by-step explanation:
when 2 and 4 are factors of a number then 8 will also be factor of that number. Example: let's take the number 8 here 2,4 and 8 are factors of the number.
Someone plz help answering this (mastery test)15points if u don’t know don’t answer real talk
Answers
Answer:
6 ? (i think)
Step-by-step explanation:
if the diameter of a circular pond is x meter what is the measure of its circumference
Answers
πx
Step-by-step explanation:
well pi is defined as the ratio of a circle's circumference to its diameter so just πx
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answers
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
A ball is thrown downward from the top of a 240-foot building with an initial velocity of 20 feet per second. The height of the ball h in feet after t seconds is given by the equation h= -16t^2 - 20t + 240. How long after the ball is thrown will it strike the ground?
Answers
Answer:
3.29 s
Step-by-step explanation:
We are given that
Height of building=240
Initial velocity=20ft/s
The height of the ball after t seconds is given by
\(h(t)=-16t^2-20t+240\)
When the ball strike the ground then
h(t)=0
\(-16t^2-20t+240=0\)
\(4t^2+5t-60=0\)
Quadratic formula:
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
Using the quadratic formula
\(t=\frac{-5\pm\sqrt{25+960}}{8}\)
\(t=\frac{-5\pm\sqrt{985}}{8}\)
\(t=\frac{-5+31.28}{8}=3.29 s\)
\(t=\frac{-5-31.38}{8}=-4.5\)
Time cannot be negative .Therefore,
t=3.29 s
Jabari needs a new refrigerator for his home. He finds one he likes for $780. If he borrows the amount at 7% interest, how much does Jabari owe if he plans to pay off the loan in 25 weeks?
Answers
The total amount that he will owe after the loan period of 25 weeks is; $806.25
How to calculate the Simple Interest?The formula to calculate simple interest is;
I = PRT/100
Where;
P is principal
R is rate
T is time
We are given;
P = $780
R = 7%
T = 25 weeks = 25/52 years
Thus;
I = (780 * 7 * 25/52)/100
I = $26.25
Total payoff = $780 + $26.25
= $806.25
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If A=(4,-5) and B=(7,-9), what is the length of AB
Answers
The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.
The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.
Let's calculate the length of AB using the given coordinates for points A and B:
Coordinates of point A: A = (4, -5)
Coordinates of point B: B = (7, -9)
The distance formula is given by:
\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)
Substituting the coordinates of A and B into the formula:
\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)
d = √[9 + 16]
d = √25
d = 5
Therefore, the length of line segment AB is 5 units.
The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.
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study the visual fraction below. Is it A,B,C, or D?
Answers
Answer: B
Step-by-step explanation: the pic shows this
you can see it on the pic btw
Determine the 10th term of the sequence 3, 6, 12,
Answers
Answer:
\(1536\)
Step-by-step explanation:
In order to find the answer to this question you need to find the rule then apply that rule in till you find the 10th term of the sequence.
Rule = ×2
\(3\times2=6\times2=12\times2=24\times2=48\times2=96\times2=192\times2=384\times2=768\times2=1536\)
\(=1536\)
Hope this helps