The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width?
If w=the width of the rectangle, which of the following expressions represents the length of the rectangle?
1. 2w+3
2. 2(w+3)
3. 3(2w)
That makes no sense, what DO you get?
The correct answer is, A, or question 1, or 2w + 3.
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minimize Q=x^2+2y^2, where x+y=3
To minimize the function Q=x^2+2y^2, substitute x=3-y and expand the expression. Use the vertex formula to find the minimum value of Q. The minimum value is 13.5 when x=1.5 and y=1.5.
Explanation:To minimize the function Q=x^2+2y^2, where x+y=3, we can substitute x=3-y into the function to get Q=(3-y)^2+2y^2. Expanding this expression gives Q=9-6y+y^2+2y^2. Combining like terms, we have Q=3y^2-6y+9.
To find the minimum value of Q, we can use the vertex formula. The x-coordinate of the vertex of the parabola represented by Q=a(x-h)^2+k is x=-h. In our case, h=-(-3)/2=1.5. Substituting this value of x into the equation Q=3y^2-6y+9 gives Q=3(1.5)^2-6(1.5)+9=13.5-9+9=13.5.
Therefore, the minimum value of Q is 13.5 when x=1.5 and y=1.5.
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A salad bar offers 8 choices of toppings for lettuce. In how many ways can you choose 4 or 5 toppings? ...?
Which equation shows y=−1/2x+4 in standard form?
A. 2x+y=8
B. x+2y=8
C. x+2y=-8
D. 2x-y=8
Answer: B. x+2y=8
Explanation:
The original equation is:
[tex]y=-\frac{1}{2}x+4[/tex]
The problem asks us to convert the equation in the standard form, so in the form
[tex]ax+by=c[/tex]
with a,b and c being integers.
In order to do that, first of all let's bring on the same side both x and y:
[tex]y+\frac{1}{2}x=4[/tex]
Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get
[tex]2y+x=8[/tex]
and this corresponds to option B.
The equation that represents y = -1/2x + 4 in standard form is 2x + y = 8.
The equation that shows y = -1/2x + 4 in standard form is 2x + y = 8.
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How do you simplify cscx*secx-tanx?
You have been hired as an efficiency expert for Math Nerds Inc. The company wants to cut costs and increase profits by increasing the number of math problems their employees can solve in a day. Your job is to help the Math Nerds employees solve math problems more quickly. Show the Math Nerds employees how to rework each problem below using a polynomial identity. (x2+y2)2=(x2-y2)2+(2xy)2
Show the Math Nerds employees how much time you save on each problem by using the polynomial identity to simplify.
1) ( x+2 ) 2 (x+2) 2 = (x+y) 2 =x 2 +2xy+ y 2
2) ( x−3 ) 3 (x−3) 3 = (x−y) 3 =x 3 −3 x 2 y+3x y 2 − y 3
whats the inverse function of f(x)=3x-1
plz help asap!!!! the perimeter of a rectangle is 200 cm. what is the length of the rectangle if the width is y cm?
What is the correct radical form of this expression? (32a^10b^5/2)^2/5
What's the answer I don't know it
Given 9801 = 3x3x3x3x11x11 , find √9801 (square root i think) ...?
For every problem-solving activity it's crucial that no less than five alternatives be considered.
True
False
Problem-solving activity includes
1.Understanding the problem,that is nature of the problem, then Completely define in your own way.
2. Determining why this problem has accrued,
3. Identifying the ways to solve the problem,
4. Prioritizing the given alternatives that is ways and then arranging the alternatives for a solution,
5. Then applying the best solution or arrangement for the given problem.
There are two ways considered for problem-solving activity
(1). Trial and Error (2) Reduction in steps
It totally depends on the kind of problem , which you are solving. There may be Less than five alternatives ,equal to five alternatives or more than five alternatives to solve the problem.
Option B: False
What is the day 1,000,000 days from now?
One million days from now would be roughly the year 3759 AD. The exact day and month would fall sometime in March or April due to the complexities of our modern calendar system.
Explanation:To answer your question of what is the day 1,000,000 days from now, we'll need to do some calculations. There are approximately 365.25 days in a year (this includes the extra day every four years for leap years).
1,000,000 divided by 365.25 equals approximately 2737.85 years. This means that 1,000,000 days from now it would be the year 3759 AD (assuming the current year is 2022).
As for the exact day, we'll consider that a year is made up of 365 days, and the .25 accounts for leap years. However, the calculation of the exact date and month is quite complex due to the irregularities in our Gregorian calendar. It would fall sometime in March or April of 3759 AD.
Note that this calculation does not consider minute changes in Earth's rotation over time or potential changes in our calendar system.
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30/20=w/14 solve for w
What is the period of y = 5 cos x?
What is the period of y= cos 5x
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?
An expression when written in either radical form or rational exponent form be rewritten to fit the other form as well.
When we write in different forms the Denominator defines as the Index and the Numerator defines as Power on the variable.
For Example:-We can write [tex]4^{\frac{2}{3}[/tex] as [tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]
Again, vice versa,
For example:-We can write [tex]\sqrt[5]{x^4}[/tex] as [tex]x^{\frac{4}{5}[/tex]
Therefore , we can written in other forms as well to fit .
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To convert from radical form to rational exponent form, use [tex]\( \sqrt[n]{a} = a^{1/n} \),[/tex] and vice versa for conversion.
An expression written in radical form can be rewritten in rational exponent form and vice versa using the following conversions:
1. From Radical Form to Rational Exponent Form:
- For a radical expression [tex]\( \sqrt[n]{a} \), where \( n \)[/tex] is the index and [tex]\( a \)[/tex] is the radicand:
- The equivalent expression in rational exponent form is [tex]\( a^{1/n} \)[/tex].
2. From Rational Exponent Form to Radical Form:
- For an expression [tex]\( a^{m/n} \)[/tex], where [tex]\( a \)[/tex] is the base, [tex]\( m \)[/tex] is the numerator, and [tex]\( n \)[/tex] is the denominator:
- The equivalent expression in radical form is [tex]\( \sqrt[n]{a^m} \).[/tex]
These conversions allow us to switch between radical form and rational exponent form easily. It's important to remember that the index of the radical corresponds to the denominator of the rational exponent, and the exponent of the base corresponds to the numerator of the rational exponent.
Find the zeros of g(x)=x2+5x−24g
A triangle has three sides and a pentagon has five sides. true false
Trylon Eager took out an $85,000, 20-year term policy at age 40. The premium per $1,000 was $5.00. He will be 60 years old this year. The premium per $1,000 will be $5.90. The percent increase to the nearest whole number is ____%. (Enter only the number.)
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What is the length of leg y of the right triangle?
A right triangle with hypotenuse 37 and legs 35 and y
A) 2
B) 8
C) 12
D) 35
#2: Which of the following shows the length of the third side, in inches, of the triangle below?
A right triangle is shown. One side of the triangle is labeled as 25 inches. The height of the triangle is labeled as 15 inches.
A) 20 inches
B) Square root of 850 inches
C) Square root of 10 inches
D) 40 inches
if x=y and y=2 then 3x=
find the HCF of 140,210,315
A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)? A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)?
14/5 the fraction as a percentage
Answer:
The fraction 14/5 can be expressed as 280 percent.
Lynn and dawn tossed a coin 60 times and got heads 33 times what is the experimental probability of tossing heads using Lynn and dawns results
Answer: Experimental probability of tossing head is [tex]\frac{11}{20}[/tex]
Step-by-step explanation:
Since we have given that
Number of times Lynn tossed a coin = 60 times
Number of times head comes = 33
Experimental probability of tossing heads using Lynn and drawn results is given by
[tex]\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{33}{60}\\\\=\frac{11}{20}[/tex]
Hence, Experimental probability of tossing head is [tex]\frac{11}{20}[/tex].
Answer:
experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].
Step-by-step explanation:
Given :Lynn and dawn tossed a coin 60 times and got heads 33 times
To find : what is the experimental probability of tossing heads using Lynn and dawns results.
Solution : We have given that
Number of times Lynn tossed a coin = 60 times.
Number of times head comes = 33.
Probability of tossing heads using Lynn and drawn results is given by:
= N[tex]\frac{number of favouable outcome }{total possible outcome}[/tex]
= [tex]\frac{33}{60}[/tex].
On simplification
=[tex]\frac{11}{20}[/tex].
Therefore, experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].
Which of these transformations are isometries? The diagrams are not drawn to scale.
Answer:
the answer is D. I, II, and III
Step-by-step explanation:
A high school chorus has $1000 in its school account at the beginning of the year. They are putting on a fall concert to raise money for a trip later in the year. At the concert last year they sold tickets for $10 each. If they sell tickets at the same price the total amount in the chorus account can be represented by the linear function T = 10x + 1000. If they increase the ticket price to $15, how many tickets will they have to sell to have a total of $4000 in the account?
A) 100 tickets
B) 150 tickets
C) 200 tickets
D) 250 tickets
Does 1/3 divided by 4 equal 1/12
How many times does the graph of the function below intersect or touch the x-axis? y=-3x^2+x+4 ...?
Answer:
The answer is 2 times.
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