Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial
Tip: Every 2 after 3x is an exponent.. so it would be 3x^2
Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).
Find the equation for the line that passes through the point (−4,−2), and that is perpendicular to the line with the equation y−1=34(x+2).
What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)? P'( , )
Answer: (-7, 4)
Step-by-step explanation:
Find the sum or difference: 2.8 - -5.1
Based on the graph, which statement BEST describes what is happening to the temperature over time?
A.The temperature rises 10 degrees over 3 hours.
B.The temperature rises 10 degrees over 6 hours.
C.The temperature rises 40 degrees over 3 hours.
D.The temperature rises 50 degrees over 6 hours.
A crowd of 50,000 fans is expected to attend the homecoming football game. if the typical vendor can serve 1,500 customers per hour and the game will last for four hours, how many vendors are needed to ensure that each fan can be served during the game? (round to the nearest whole number.) a) 9 b) 10 c) 8 d) 1
Since every hour, a vendor sells to 1500 customers, we multiply by hours, like this:
1500 * 4 = 6000.
Then we divide 50000/6000, and that would give us 8.33333333, and we round that to the next number which is 9, and that's the answer.
Answer: 9 vendors.
Hope this helped! c:
Using Multiplication, There are 9 vendors are needed to ensure that each fan can be served during the game.
What is Multiplication?Multiplication is to "increase a number by the number of times mentioned".
According to the question,
Number of fans expected to attend a football game = 50,000
Number of customer to be served = 1,500per hour
To find number of customer to be served for 50,000 fans
The game has to be last for 4 hours.
Formula : 1 vendor is to sell 1,500 customer per hour
4*1500 = 6000
A vendor has to sell 6000 customers in 4 hours.
In order to find the number of vendors have to sell 50,000 customers in 4 hours
Let 'x' be the number of vendors
To find the number of vendors only if we divide 50,000 by 6000
=[tex]\frac{50,000}{6000}[/tex] = 8.333 ≈ 9
Hence, there are 9 vendors are needed to ensure that each fan can be served during the game.
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plz help
(4+3.2)×[(9−2)+2.5]
On Tuesday, Mrs. Myles assigned 7 more problems than she did on Monday. If she assigned x problems on Monday, write an expression to represent how many problems Mrs. Myles assigned on Tuesday
Answer:
Number of problems assigned on Tuesday = x+7
Step-by-step explanation:
Number of problems assigned on Monday = x.
Number of problems assigned on Tuesday is 7 more than that assigned on Monday.
Number of problems assigned on Tuesday = x+7. [In Matha we use + sign for more than]
The expression that will represent the number of problems Mrs. Myles assigned on Tuesday is x+7.
Answer: actually it 7 + x the other way around
Step-by-step explanation:
A farmer planted corn in a square field.one side of the field measures 36 yards. what is the area of the cornfield
Answer:
1,296 ik im late but yeah
Step-by-step explanation:
Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD
In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = [tex] \sqrt{75+25} [/tex] = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that [tex] \frac{1}{2} * BF = \frac{1}{2} * 5 * \sqrt{75} [/tex] and BF= [tex] 0.5\sqrt{75} [/tex]. Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is [tex]A= BF * \frac{AB+CD}{2} = 0.5 \sqrt{75} * \frac{5+10}{2} = 18.75 \sqrt{3} cm^{2} [/tex]
The area of the given trapezoid will be [tex]\frac{75}{4} \sqrt{3}[/tex].
It is given that
In trapezoid ABCD
AE ⊥ CD
AC = √75
AD=BC =5
AB =5
In the triangle ADC
From Pythagoras theorem
AC²+AD²=DC²
(√75)² +5² = DC²
DC=10
Let DE=CF=x (Isosceles trapezoid)
What is isosceles Trapezoid?
Trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.
AB=EF= DC-2x
5 = DC-2x
x=5/2
AE = [tex]\sqrt({5^{2} } -(5/2)^2)\\\\[/tex]
AE = [tex]\sqrt{75} /2[/tex]
So, the area of the trapezoid ABCD = [tex]\frac{1}{2} *(AB+CD)*AE[/tex]
Area of the trapezoid ABCD = [tex]\frac{1}{2} *(5+10)*\frac{\sqrt{75} }{2}[/tex]
Area of the trapezoid ABCD = [tex]\frac{75}{4} \sqrt{3}[/tex]
Therefore, The area of the given trapezoid ABCD will be [tex]\frac{75}{4} \sqrt{3}[/tex].
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Express answer in exact form.
A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle.
(Hint: remember Corollary 1--the area of an equilateral triangle is 1/4 s2 √3.)
MANY POINTS!!
When adding fractions, make sure the ______ are the same, and then add the _______.
in the box below, enter the value that missing from the table.
The baseball team has sold tickets to a spaghetti dinner. forty-eight student tickets have been sold at $1.50 each. if the baseball team has made $149 total from the sale of all tickets, and adult tickets cost $3.50, how many adult tickets were sold?
Find 2 numbers that have... a product of 49 and a sum of 14
help please
Sammy is planning a trip to Nashville. He knows the hotel costs $125 per night and the round trip flight is $159. He has a budget of $900 to spend on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Nashville?
125n + 159 ≥ 900
125n + 159 ≤ 900
159n + 125 ≤ 900
159n + 125 ≥ 900
Express 0.0037 as a power of 10.
To express 0.0037 as a power of 10, we move the decimal point 3 places to the right, resulting in 3.7 × 10⁻³.
Explanation:To express 0.0037 as a power of 10, we need to count the number of places we have to move the decimal point to get a number between 1 and 10. In this case, we have to move the decimal point 3 places to the right, so the power of 10 is -3.
0.0037 = 3.7 × 10-3
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A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.
A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 16 meters and its width from left to right is 16 meters.
What is the vertical clearance 7 m from the edge of the tunnel?
15.4 m
0.3 m
15.7 m
0.6 m
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Jack Watkins earns a base salary of $1500 a month, plus a 4% commission on the sales he makes. What is his gross pay of his sales for the month are $8000.
A. 1520
B. 1532
C. 1700
D. 1820
Consider the equation x^2 + 12x + c = 0. If c = -28, list the steps to solve the equation by completing the square, and give the solution or solutions.
The solutions of the equation x² + 12x - 28 = 0 are x = 2 or x = -14.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
To solve the equation x² + 12x + c = 0, where c = -28, by completing the square.
Substitute c = -28 into the equation to get x² + 12x - 28 = 0.
x² + 12x = 28
Complete the square by adding the square of half the coefficient of x to both sides of the equation:
x² + 12x + (12/2)² = 28 + (12/2)²
x² + 12x + 36 = 64
(x + 6)² = 64
Take the square root of both sides of the equation.
x + 6 = ±8
x=8-6=2
x=-8-6=-14
Hence, the solutions of the equation x² + 12x - 28 = 0 are x = 2 or x = -14.
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f(x) = cos(x)
f'(x) = -sin(x)
f'(π/2) = -sin(π/2)
f'(π/2) = -1
My answer to this question is A. -1, but I am posting it here because several students got B. +1 as their answer. Can anyone confirm the answer as A?
The hypotenuse of a right triangle is 5 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
The Pythagorean theorem is used to determine the lengths of a right triangle's sides. When we know the hypotenuse length and the fact that one leg is 1m longer than the other, we can solve for the lengths to be approximately 3m and 4m.
Explanation:The subject of your question is related to the geometric concept of right triangles and the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
In this problem, we know the hypotenuse = 5m and the longer leg is 1m longer than the shorter leg. Let's denote the shorter leg as 'x' m. Consequently, the longer leg is 'x+1' m. Applying the Pythagorean theorem, we get: (x)² + (x+1)² = 5².
Solving this equation, we find x~3m (shorter leg) and x+1~4m (longer leg). These are the lengths of the sides of your right triangle.
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find the volume of the composite figure. round your answer to the nearest hundredth
The correct answer is 590.77mm3.
What is -1 3/5 x -2/3 as a mixed number?
A laptop company has discovered their cost and revenue functions for each day: c(x) = 3x2 − 10x + 200 and r(x) = −2x2 + 100x + 50. if they want to make a profit, what is the range of laptops per day that they should produce? round to the nearest number which would generate profit.
Two triangles have side lengths 3, 4, 5 and 6, _____, 10, respectively. The triangles are similar to each other.
9
7
8
6.6
Answer:
The correct option is: 8
Step-by-step explanation:
Suppose, the missing side length in second triangle is [tex]x[/tex]
So, the side lengths of first triangle: [tex]3, 4, 5[/tex]
and the side lengths of second triangle: [tex]6, x, 10[/tex]
As two triangles are similar, that means their corresponding side lengths will be proportional.
So,
[tex]\frac{3}{6}=\frac{4}{x}\\ \\ 3x= 4*6\\ \\ 3x= 24\\ \\ x=\frac{24}{3}=8[/tex]
So, the missing side length in second triangle is 8.
What is the length of AC?
The tank shown is a cylinder with diameter equal to 4 feet and height equal to 12 feet. the tank holds 1130 gallons of rainwater when full. how many gallons of water are in the tank when the depth of the water is 9 feet?
Solve the equation. Check for extraneous solutions
please help!!!