Answer:
-12x²-48x-42.5
Step-by-step explanation:
If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.
The potential gain that could have come with golfing
Step-by-step explanation:
Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.
Answer:
Let pork chops and ground beef be x and y respectively.
4x = $12.60
x = $3.15
11x = $34.65
5y = $10.25
y = $2.05
12y = $24.60
11x + 12y = $34.65 + $24.60
= $59.25
Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°
The measure of the exterior angle at vertex D is: D. 54°
Recall:
The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.Thus:
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
Therefore:
(8x−2)º = (3x−8)° + (4x+13)°
Solve for x8x - 2 = 3x - 8 + 4x + 13
Combine like terms8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
Plug in the value of x= 8(7) - 2
= 54º (option D)
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What are the coordinates of B
Answer: (-7,-5)
Step-by-step explanation:
Because when you mark point M and A if you mirror point M and A on the x Axis then you will get (-7,-5)
Suppose that sin a= 15/17 and 90 degrees
1 4 × √ 2 = 2 n Find N
Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help
Answer:29.5 kilometers
Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5
The solution is: Eric biked total 1.875 Km.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
On Monday, Eric biked = 1 Km 125 m
= 1.125 Km
On Tuesday, Eric biked = 1.125 Km - 375 m
= 1.125 - 0.375 Km
= 0.75 Km
So, Eric biked on both day
=1.125 + 0.75
= 1.875 Km
Hence, Eric biked total 1.875 Km.
Learn more about unitary method here:
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#SPJ2
complete question:
Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answer:
A,C and D are the answers.
Step-by-step explanation:
I did it on Khan Academy and got it right.
If you had 10 questions on a test and you got 3 wrong what percentage is that?
Answer:
70% right, 30% wrong
Step-by-step explanation:
3 is 30% of 10
for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense[tex]\sqrt{-2x^2}[/tex]
For the above expression to have a defined value, the expression in the bracket must be positive.
However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0
Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0
[tex]\sqrt{(-2x)^3}[/tex]
For the above expression to have a defined value, the expression in the square root must be positive.
However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0
Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense
Read more about domain at:
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Answer: First answer = x<=0 and second answer is x<0
Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.
which is the slope of the line that contains the point (-2,7) and (2,3)
Answer:
the slope of the line is -2.
Step-by-step explanation:
how do I solve this?
Answer:
Step-by-step explanation:
total points obtained=141+87+81+91=400
total possible points=150+100+100+100=450
1.
% points obtained=(400/450)×100≈88.89
Jade did not secured more than 88.89 % marks.
2. can't read properly
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME
Answer:
you are in the 45 and 56 zone so yes
Step-by-step explanation:
What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard
Step-by-step explanation:
Volume=length*width*height
V = (3/2)*(4)*(1/2)
= 12/4 = 3cm^3
Please hurry!! This assignment is almost due!!
Answer: x = 17
Step-by-step explanation:
Hi there!
First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180
Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)
Hope this helps!
What is 2(n+7)+3n simplified and written in factored form?
Multiple choice question.
A)
5n+9
B)
5n+14
C)
3(2n+3)
D)
2(3n+7)
Answer:
B)
Step-by-step explanation:
2(n+7)+3n
now you multiply 2 though
2n+14+3n
Add common factors
5n+14
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there
Answer:
3 vanilla
Step-by-step explanation:
If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.
Unless there is more than 12 in the order. The question is vague
guys pls ı need help really....
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
[tex]28=\int\limits^b_1 {7x} \, dx[/tex] and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:
[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex] Multiplying everything by 2 to get rid of the denominators gives you:
[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]
Please help me solve this
Step-by-step explanation:
first line multiplied with first column. then with second column. and then third.
then the same for the second line and then the third line.
BA11 = 5×3 + 7×3 + 3×2 = 38
BA12 = 5×1 + 7×6 + 3×-1 = 44
BA13 = 5×2 + 7×-4 + 3×-3 = -27
BA21 = -2×3 + -1×3 + 9×2 = 9
BA22 = -2×1 + -1×6 + 9×-1 = -17
BA23 = -2×2 + -1×-4 + 9×-3 = -27
BA31 = 4×3 + 3×3 + 1×2 = 23
BA32 = 4×1 + 3×6 + 1×-1 = 21
BA33 = 4×2 + 3×-4 + 1×-3 = -7
Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.
The equation had only one solution and the solution to the given equation is 1
Equations are expressions separated by an equality sign
Given the equation expressed as;
5x - 6 = -x - 2x + 2
Collect the like terms:
5x + x + 2x = 2 + 6
Simplifying the result;
8x =8
Divide both sides of the equation by 8 to have:
8x/8 = 8/8
x = 1
Hence the solution to the given equation is 1
learn more about equation here: https://brainly.com/question/25678139
What is the equation for the parabola with a focus F(13/11,0)?
Answer:
B.ON THE EDGE
Step-by-step explanation:
Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27
Which value in the equation represents the rate of change?
A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27
Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.
Below!
Step-by-step explanation:You can take 25 as one example and 49 as the second example.
Let's factorize.
=> 25 = 5 x 5 = 5² (Which is odd)=> 49 = 7 x 7 = 7² (Which is odd)Conclusion:Hence, the statement is not true.
Hoped this helped.
B.match illustrate by using rectangular regions then solve
C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence
WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT
also theres a picture above
(WITH STEP BY STEP EXPLANATION )
Fractions can be represented by shading parts of a rectangular region
The simplified expressions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Complete number sentenceTo start with, we simplify the fraction expressions as follows:
(1) [tex]\frac 28 + \frac 24 =[/tex]
Take LCM
[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]
[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]
Simplify
[tex]\frac 28 + \frac 24 = \frac 34[/tex]
(2) [tex]\frac 9{10} - \frac 35 =[/tex]
Take LCM
[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]
[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]
Simplify
[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]
(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]
Replace the blank with x
[tex]\frac 46 -x=\frac{2}{6}[/tex]
Collect like terms
[tex]x = \frac 46 -\frac{2}{6}[/tex]
Take LCM
[tex]x = \frac{4 - 2}{6}[/tex]
[tex]x = \frac{2}{6}[/tex]
Simplify
[tex]x = \frac{1}{3}[/tex]
(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]
Replace the blank with x
[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]
Collect like terms
[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]
Take LCM
[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]
[tex]\frac{x}{12} = -\frac{2}{12}[/tex]
Multiply both sides by 12
[tex]x=-2[/tex]
(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]
Take LCM
[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]
[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]
Reduce fraction
[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]
Missing fractionsSo, the simplified expressions that contain the missing fractions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Shaded regionsSee attachment for the shaded regions
Read more about fractions at:
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You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer
Answer:
4
Step-by-step explanation:
Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40
then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)
So you do 3.40/0.85 which is equal to 4
After sitting in a refrigerator for a while, a turkey at a temperature of 34^\circ34
∘
F is placed on the counter and slowly warms closer to room temperature (67^\circ67
∘
F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a
+(T
0
−T
a
)e
−kt
T_a=T
a
= the temperature surrounding the object
T_0=T
0
= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant
The turkey reaches the temperature of 45^\circ45
∘
F after 15 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 60 minutes.
Enter only the final temperature into the input box.
The temperature of the body after 60 minutes is 60.5° F.
Using the Newton's law of cooling;
T(t) =[tex]Ts + (To - Ts)e^-kt[/tex]
T(t) = temperature at time t
Ts = temperature of the surrounding
To = Temperature of object
t = time taken
k = cooling constant
Now;
[tex]T(t) -Ts=(To - Ts)e^-kt\\45 - 67 = (34 - 67)e^-15k\\-22 = -33e^-15k\\-22/-33 = e^-15k\\0.667 = e^-15k\\ln(0.667) = ln( e^-15k)\\-0.405 = -15k\\k = -0.405/ -15\\k = 0.027[/tex]
At t = 60 min
[tex]T(t) = Ts + (To - Ts)e^-ktT(60) = 67 + (34 - 67)e^-( 0.027*60)\\T(60) = \\67 + (-33)e^-( 0.027 * 60)\\T(60) = \\60.5 F[/tex]
T(60) = 60.5° F
Learn more about Newton's law of cooling: https://brainly.com/question/13748261
Answer:
T≈169
Step-by-step explanation:
Enter only the final temperature into the input box.
T_a = 67\hspace{50px}T_0=210
T
a
=67T
0
=210
\text{Write Formula:}
Write Formula:
T=67+(210-67)e^{-kt}
T=67+(210−67)e
−kt
Plug in givens
\color{blue}{T}=67+143e^{-k\color{green}{t}}
T=67+143e
−kt
Simplify
\text{Plug in given time and temperature:}
Plug in given time and temperature:
\color{blue}{193}=67+143e^{-k(\color{green}{1.5})}
193=67+143e
−k(1.5)
Simplify
\text{Solve for }k\text{:}
Solve for k:
193=
193=
\,\,67+143e^{-1.5k}
67+143e
−1.5k
-67\phantom{=}
−67=
\,\,-67
−67
126=
126=
\,\,143e^{-1.5k}
143e
−1.5k
\frac{126}{143}=
143
126
=
\,\,\frac{143e^{-1.5k}}{143}
143
143e
−1.5k
Divide by 143
0.8811189=
0.8811189=
\,\,e^{-1.5k}
e
−1.5k
\ln\left(0.8811189\right)=
ln(0.8811189)=
\,\,\ln\left(e^{-1.5k}\right)
ln(e
−1.5k
)
Take ln of both sides
\ln\left(0.8811189\right)=
ln(0.8811189)=
\,\,-1.5k
−1.5k
\frac{\ln\left(0.8811189\right)}{-1.5}=
−1.5
ln(0.8811189)
=
\,\,\frac{-1.5k}{-1.5}
−1.5
−1.5k
Divide by -1.5
0.0843751=
0.0843751=
\,\,k
k
k\approx
k≈
\,\,\color{blue}{0.084}
0.084
Round k to nearest thousandth
\text{Complete Formula:}
Complete Formula:
T=67+143e^{-\color{blue}{0.084}t}
T=67+143e
−0.084t
Plug in k
\text{Find temperature after }\color{green}{4}\text{ minutes:}
Find temperature after 4 minutes:
T=67+143e^{-0.084(\color{green}{4})}
T=67+143e
−0.084(4)
Plug in time
T=67+143e^{-0.336}
T=67+143e
−0.336
Multiply
T=169.1911041
T=169.1911041
Plug into the calculator
T\approx 169
T≈169
Which of the equations will be a true statement if p = 10 3 ? Select the two choices that apply.
A. 3.4 ÷ p = 0.034
B. 437 ÷ p = 0.437
C. 53.45 ÷ p = 53.45
D. 6,340 ÷ p = 6.34
E. 2,458.2 ÷ p = 24.582
Answer:A
Step-by-step explanation: make me brainlist if correct
How do I add Mixed numbers? Please explain step by step to get brainliest!
The best way to do this is to convert the mixed numbers into improper fractions. Improper fractions are when the numerator is greater than the denominator. An example of an improper fraction would be 5/4. Since 4/4 is one whole that means 5/4 as a mixed number would be 1 1/4. I'll use the expression 3 1/4 + 5 2/9 as an example.
3 1/4 is 3 wholes and 1/4 left over. We know that 4/4 is 1 whole so to find 3 holes we multiply the 1 by 3. 4 x 3 =12 so there are 12/4 in 3 holes. We then add the leftover 1/4 to get 13/4 as our first number.
For the second number, we have 5 2/9. This one is a bit harder. We know that 9/9 is in one whole, but how do we find how many are in 5 wholes? We can use multiplication. 1x 5=5. 5 x 9 =45. That means we have 45/9 in 5 holes. Add the leftover 2/9 to have 47/9 as our 2nd number.
Now that we have these two improper fractions, what do we do with them? The two numbers we are working with are 13/4 and 47/9. We need to find the common denominator. The common denominator is when both fractions have the same bottom number. If two fractions have different denominators we cannot add them.
To make the denominators the same, let's find a common multiple. A common multiple is a number that is a product of all chosen numbers. This is kind of confusing but another way to think of a common multiple is a number that is divisible by all chosen numbers. Take the two denominators and multiply them. 9x4=36. 36 is a common multiple of both 9 and 4 because both of them can go into 36 without being a decimal or a fraction.
To convert the fractions we multiply again. Whatever you do to one side you must always do to the other. In 13/4 we multiplied 4x9 to get 36. So now we multiply the numerator 13x9 to get 117. That means we have 117/36. We multiplied 9x4 to also get 36. So our numerator for our second number is 47x4=188 or 188/36.
Now we have 117/36 and 188/36. We add them together like normal and get 305/36. In some cases you'd need to simplify it, but for the example equation I used this is already the fraction's lowest form. I hope this helped! Comment if you need another example or have any questions! :)
Help me(((((((please
Answer:
I do not know English
Step-by-step explanation:
<3333
Somebody please help me with this
Answer 1.2 angles
and 203 left cm