For y = 2x² + 12x² - 6x, determine concavity and the x-values where points of inflection occur. Do not sketch the graph. On which interval(s) is the function concave down? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave down on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. There is no interval on which the function is concave down. On which interval(s) is the function concave up? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave up on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. There is no interval on which the function is concave up.

Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

Answer:

Step-by-step explanation:

Pedometer

Step-by-step explanation:

Step 2:

\( ({15x}^{2} - 9x) + (5x - 3)\)

Stepc3:

\(3x(5x - 3)\)

The z-32 zombie virus replicates at a rate of 18.5% per hour, and each zombie bite delivers 1000 viral microbes to a victim. We need to determine how long it will take for there to be 10,000,000 microbes in the victim's system.

Let's assume the initial number of viral microbes in the victim's system is 1000 (due to a single zombie bite).

Since the virus replicates at a rate of 18.5% per hour, the number of viral microbes after each hour can be calculated by multiplying the previous count by 1.185 (1 + 18.5%).

Let's represent the number of viral microbes at time t as M(t). We want to find the time, t, when M(t) reaches 10,000,000.

Starting with 1000 viral microbes, we can write the equation:

M(t) = 1000 * (1.185)^t

Setting M(t) equal to 10,000,000, we have:

10,000,000 = 1000 * (1.185)^t

Dividing both sides by 1000:

10,000 = (1.185)^t

Taking the logarithm of both sides (base 1.185):

log(10,000) = t * log(1.185)

Using logarithm properties:

t = log(10,000) / log(1.185)

Evaluating the expression:

t ≈ 33.52 hours

Therefore, it will take approximately 33.52 hours for there to be 10,000,000 viral microbes in the victim's system.

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Answer:

x=3 and y=2

Step-by-step explanation:

Rewrite equations:

3x−y=7;2x+y=8

Step: Solve3x−y=7for y:

3x−y=7

3x−y+−3x=7+−3x(Add -3x to both sides)

−y=−3x+7

−y

−1

=

−3x+7

−1

(Divide both sides by -1)

y=3x−7

Step: Substitute 3x−7 for y in 2x+y=8:

2x+y=8

2x+3x−7=8

5x−7=8 (Simplify both sides of the equation)

5x−7+7=8+7 (Add 7 to both sides)

5x=15

5x5

=

15/5

(Divide both sides by 5)

x=3

Step: Substitute 3 for x in y=3x−7:

y=3x−7

y=(3)(3)−7

y=2(Simplify both sides of the equation)

Answer: The dots are representing the students and the numbers are the number of siblings so " 1 student has 5 siblings in Ms.White's class." and its the same for the other class

Step-by-step explanation:

Given:

Answer:

about 12000 but real answer is 12224

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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The volume of the sphere is given by the formula V = (4/3)*pi*R³, and in this case the volume is V = 3,052.08 yd³

The volume of a sphere of radius R is given by the formula below:

V = (4/3)*pi*R³

Where pi = 3.14

Here we can see that the radius is 9yd, then the volume of that sphere will be:

V = (4/3)*3.14*(9yd)³

V = 3,052.08 yd³

Sothe volume of the sphere is 3,052.08  cubic yards.

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156 ÷ 106 is equal to 1 remainder 50.

To divide 156 by 106, a long division can be used as shown below:

1) Put the dividend (156) inside the division bracket and the divisor (106) outside the bracket.

2) Divide the first digit of the dividend (1) by the divisor (106). Since 1 < 106, the first digit of the quotient is 0.

3) Write 0 below the dividend and multiply 0 by the divisor (106). Subtract the product (0) from the first digit of the dividend (1) to get the remainder (1). Bring down the next digit (5) to the remainder.

4) Now the new dividend is 15. Repeat steps 2 and 3 until there are no more digits to bring down. The quotient is 1 with a remainder of 50, or:

156 ÷ 106 = 1 remainder 50.

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Gram-negative bacteria generally include lipopolysaccharide (LPS) in their cell walls. Therefore, the type of cell we would find lipopolysaccharide in its cell wall is gram-negative bacteria.  

Compared to gram-positive bacteria, gram-negative bacteria have a more intricate cell wall construction. Gram-negative bacteria's outer membrane contains a significant amount of LPS, which is essential for maintaining structural integrity and providing defence against foreign invaders. It is made up of a lipid portion that is embedded in the outer membrane and a polysaccharide section that extends outside of it.

The distinctive traits and abilities of gram-negative bacteria, such as their resistance to some antibiotics and their capacity to incite inflammatory reactions in host species, are made possible by the presence of LPS in the cell wall.

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To determine the forces developed in members FE, EB, and BC of the truss and whether they are in tension or compression, we need additional information such as the external loads applied to the truss and the geometry of the truss (lengths, angles, and supports).

Without specific details about the truss configuration and the applied loads, it is not possible to determine the forces and their nature (tension or compression) in the members accurately. Truss analysis requires information on the external forces and the geometry of the truss structure, including the lengths and angles of the members.

Each member in a truss can be subject to either tension or compression, depending on how the external loads and support conditions are distributed. The determination of forces in truss members involves solving a system of equilibrium equations considering the applied loads, supports, and member properties.

Therefore, to determine the forces and whether members FE, EB, and BC are in tension or compression, it is necessary to have more information about the truss, including the applied loads and the geometric properties of the truss members.

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a. True. The product of two 2 x 2 matrices A and B is given by the formula AB = [a1*b1 + a2*b3, a1*b2 + a2*b4; a3*b1 + a4*b3, a3*b2 + a4*b4], where a1, a2, a3, and a4 are the elements of A and b1, b2, b3, and b4 are the elements of B.

In this case, the columns of A are ay and az, and the columns of B are bI and ba. So, the product AB is given by [ay*bI + az*ba, ay*ba + az*bb], which is equivalent to [a,b ab].

b. True. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. This is because the elements of each column of AB are obtained by multiplying the elements of the corresponding column of A with the elements of the corresponding row of B and summing the products.

c. True. The sum of two matrices is obtained by adding the corresponding elements of the matrices.

So, AB+ AC = [a1*b1 + a2*b3 + a1*c1 + a2*c3, a1*b2 + a2*b4 + a1*c2 + a2*c4; a3*b1 + a4*b3 + a3*c1 + a4*c3, a3*b2 + a4*b4 + a3*c2 + a4*c4] = [a1*(b1+c1) + a2*(b3+c3), a1*(b2+c2) + a2*(b4+c4); a3*(b1+c1) + a4*(b3+c3), a3*(b2+c2) + a4*(b4+c4)] = A(B+C).

d. True. The transpose of a matrix is obtained by flipping the matrix along its main diagonal. So, AT + BT = [a1, a3; a2, a4] + [b1, b3; b2, b4] = [a1+b1, a3+b3; a2+b2, a4+b4] = (A + B)T.

e. False. The transpose of a product of matrices equals the product of their transposes in the reverse order. So, if A and B are two matrices, then (AB)T = BT*AT.

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The scale factor that does not belong with the other three is 2.

The scale factor that does not belong with the other three is determined as follows;

5/4 ------->  interpreted as a ratio of the new size to the original size, where the new size is 1.25 times larger than the original size.

60% ------->  interpreted as a percentage increase in size or quantity, where the new size is 1.6 times larger than the original size.

115% ------>  interpreted as a percentage increase in size or quantity, where the new size is 2.15 times larger than the original size.

2 is not a scale factor because it does not provide any information about the relationship between the new and original size or quantity.

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Answer:

x = 4

Step-by-step explanation:

Well, move the 10 over to the 30.  The 10 is positive, so you subtract.

5x = 20

Now Divide!

5x/5 = 1x or x

20/5 = 4

So,

x = 4

Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(Simplify\)

Therefore, Xavi will need approximately 54 meters of rope to rope off the grassy area for the volleyball court.

To calculate the amount of rope Xavi will need to rope off the grassy area for the volleyball court, we need to determine the perimeter of the court.

The volleyball court has dimensions of 18 meters by 9 meters. The perimeter of a rectangle can be calculated by adding the lengths of all four sides.

Perimeter = 2 * (length + width)

Plugging in the given values:

Perimeter = 2 * (18 meters + 9 meters)

Perimeter = 2 * 27 meters

Perimeter = 54 meters

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At the point (2π, 3, -1):

a) grad R = -3i + j + 3k

b) div R = -2

c) grad S = 3i + 9j - k

d) curl R = 3i + 2j + 2k

e) div S = 3 + 12π

To determine the values of the given vectors at the point (2π, 3, -1), we substitute the corresponding values into the expressions. Here are the calculations:

a) grad R:

The gradient of R is given by grad R = (∂R/∂x)i + (∂R/∂y)j + (∂R/∂z)k.

∂R/∂x = -ysinx - yzcosx

∂R/∂y = cosx - zsinx - 3z²

∂R/∂z = -ysinx - 6yz

Evaluating the partial derivatives at (2π, 3, -1), we get:

grad R = (-3sin(2π) - 3(-1)cos(2π))i + (cos(2π) - (-1)sin(2π) - 3(-1)²)j + (-3sin(2π) - 6(-1))k

= -3i + 1j + 3k

b) div R:

The divergence of R is given by div R = ∂R/∂x + ∂R/∂y + ∂R/∂z.

div R = (-ysinx - yzcosx) + (cosx - zsinx - 3z²) + (-ysinx - 6yz)

= -2ysinx + cosx - 4zsinx - 3z²

At (2π, 3, -1), the divergence of R becomes:

div R = -6sin(2π) + cos(2π) - 4(-1)sin(2π) - 3(-1)²

= 0 + 1 + 0 - 3

= -2

c) grad S:

The gradient of S is given by grad S = (∂S/∂x)i + (∂S/∂y)j + (∂S/∂z)k.

∂S/∂x = 3i + y²j + zk

∂S/∂y = -i + 2xyj

∂S/∂z = xk

Evaluating the partial derivatives at (2π, 3, -1), we get:

grad S = 3i + 9j - k

d) curl R:

The curl of R is given by curl R = (∂Rz/∂y - ∂Ry/∂z)i + (∂Rx/∂z - ∂Rz/∂x)j + (∂Ry/∂x - ∂Rx/∂y)k.

∂Rz/∂y = -3z

∂Ry/∂z = -ysinx

∂Rx/∂z = 0

∂Rz/∂x = -yzcosx

∂Rx/∂y = -sinx

∂Ry/∂x = -ysinx

Evaluating the partial derivatives at (2π, 3, -1), we get:

curl R = (-3(-1) - 0)i + (-3sin(2π) - (-1)sin(2π))j + (-3sin(2π) - (-1)(-sin(2π)))k

= 3i + 2j + 2k

e) div S:

The divergence of S is given by div S = ∂Sx/∂x + ∂Sy/∂y + ∂Sz/∂z.

∂Sx/∂x = 3

∂Sy/∂y = 2xy

∂Sz/∂z = x

Evaluating the partial derivatives at (2π, 3, -1), we get:

div S = 3 + 2(2π)(3)

= 3 + 12π

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The given statement "In the unit method of proportioning, the longest dimension of an object is set equal to one unit." is False because the unit method of proportioning does not require the longest dimension.

In the unit method of proportioning, a chosen dimension of an object is set equal to one unit, and then all other dimensions are expressed in terms of that unit, regardless of whether it is the longest dimension or not.

For example, if a rectangle has a width of 4 cm and a length of 6 cm, we could choose to set the length as the unit and express the width as a fraction of the unit: 4/6 or 2/3 of a unit.

Alternatively, we could choose to set the width as the unit and express the length as a fraction of the unit: 6/4. In either case, the longest dimension of the object is not necessarily the unit.

The unit method of proportioning is commonly used in art and design to help maintain consistent proportions between different elements of a composition. It allows for easy scaling and adjustment of proportions while preserving the overall relationships between the different elements.

Rather, any dimension can be chosen as the unit, and the other dimensions are expressed in terms of that unit.

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Answer:

15.75 miles

Step-by-step explanation:

You would do 2.25 times 7 (the amount of days in the week)

The value of X and y using substitution method for the quadratic equation given above would be = -3.6 and - 2.8 respectively.

The equations given are;

2x - 7y = 13. ----> equation 1

3x + y = 8 --------> equation 2

From equation 2 make y that subject of formula;

y = 8 - 3x

Substitute y = 8 - 3x into equation 1

2x - 7(8 - 3x) = 13

2x - 56 - 21x = 13

-19x = 13+56

-19x = 69

X = -69/19

X = - 3.6

Substitute X = -3.6 into equation 2

3(-3.6) + y = 8

y= 8 - 10.8

= - 2.8

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Answer:

$150 for 30 delierys

Step-by-step explanation:

Answer(Trả lời):

Xin lỗi nếu tôi sai (sorry if I got it wrong)

Step-by-step explanation(Giải thích):

x-intercept(s):

( √ 3.79128784 , 0 ) , ( − √ 3.79128784 , 0 )  

y-intercept(s):  

( 0 , − 3 )

NOT a parabola (Không phải parabol)

Answer:

\(g(x) = 4^{x-1} + 3\)

Step-by-step explanation:

Given

\(f(x) = 4^x\)

\(g(x) = f(x-1) + 3\)

Required

Determine g(x)

First, we need to calculate f(x-1)

Given that:

\(f(x) = 4^x\)

Subtract 1 from x

\(f(x-1) = 4^{x-1}\)

Add 3 to both sides

\(f(x-1) + 3 = 4^{x-1} + 3\)

Recall that:

\(g(x) = f(x-1) + 3\)

This implies that:

\(g(x) = 4^{x-1} + 3\)

Answer:

1.5 cm per day

Step-by-step explanation:

23.5-2.5=21

21/14=1.5

The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure

m∠ACB = 180° - 67° - 35° = 78°

Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure

m∠BCD = 180° - 78° = 102°

Answer:

102 degrees

Step-by-step explanation:

for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD

Answer:

17

Step-by-step explanation:

Initial marbles : 3+5+2+8 = 18

After taking blue marble out : 18 - 1 = 17

Answer:

270 students dislike carrots.

Step-by-step explanation: