using the standard From of the quadratic Function y=-3x²-12x-9

Answer:

What do you need help with?

Answer:

108 degrees

Step-by-step explanation:

an arithmetic progression means that there is a constant inbetween all of the angles. Since the smallest angle is 12 degrees, ( i just guessed and checked) and came up with the angles :

12, 60, 108

these have a constant of 48

Answer:

108°

Step-by-step explanation:

Since the angles are in arithmetic progression , then the angles are

a + a + d + a + 2d

a is the first term and d the common difference

Sum the angles and equate to 180 with a = 12

a + a + d + a + 2d = 180

12 + 12 + d + 12 + 2d = 180 , that is

36 + 3d = 180 ( subtract 36 from both sides )

3d = 144 ( divide both sides by 3 )

d = 48

Then the largest angle is

a + 2d = 12 + 2(48) = 12 + 96 = 108°

Answer:

the greeks neglected roads

b. roads

Answer:

B. roads

Step-by-step explanation:

The other person got it correct

Here's a formula that you can use to calculate the area of a square:A = s²Where:A = area of the squareS = side length of the squareThus, substituting the given value in the formula:A = 10 cm × 10 cm= 100 cm²Therefore, the area of the square is 100 square centimeters (cm²).

A decimeter is equivalent to 10 centimeters. Therefore, a square with side one decimeter long is how many centimeters?Since one decimeter is equal to ten centimeters, a square with a side length of one decimeter (1 dm) is equal to ten centimeters (10 cm). Thus, a square with side one decimeter long is 10 centimeters long.Here's a formula that you can use to calculate the area of a square:A = s²Where:A = area of the squareS = side length of the squareThus, substituting the given value in the formula:A = 10 cm × 10 cm= 100 cm²Therefore, the area of the square is 100 square centimeters (cm²).

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Answer:

Marker = $0.50

Pencil = $0.15

Step-by-step explanation:

The cost of 3 markers and 2 pencils can be represented as 3M + 2P = $1.80.

The cost of 4 markers and 6 pencils can be represented as 4M + 6P = $2.90.

Now that we have our two equations, we can solve for M and P. To do this, we can eliminate one of the variables by multiplying one equation by a constant and adding the two equations together.

For example, if we multiply the first equation by 4 and the second equation by -3, we get:

12M + 8P = $7.20

-12M - 18P = -$8.70

Adding these two equations together, we get:

-10P = -$1.50

Dividing both sides by -10, we get:

P = $0.15

Now that we have found the value of P, we can substitute it back into one of our original equations to find the value of M. If we substitute P = $0.15 into the first equation, we get:

3M + 2($0.15) = $1.80

3M + $0.30 = $1.80

3M = $1.50

M = $0.50

So, the cost of 1 marker is $0.50, and the cost of 1 pencil is $0.15.

A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

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Answer:

volume = 415800

Surface Area inside = 26370

Step-by-step explanation:

slowly added up all sides for surface area.

volume is area of trapezoid side (b1 + b2 divided by 2 multiply by height) x bottom length (70)

trapezoid Area = 106 + 34 +40 Divided by 2 then multiply by 66

The volume of the wheelbarrow is 415800 cubic centimeter.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a wheelbarrow that is used to carry wet concrete. The dimensions tray are provided in the image.

We can write the volume of the wheelbarrow as -

V = {(1/2 x 34 x 66) + (66 x 40) + (1/2 x 66 x 66)} x 70

V = {1122 + 2640 + 2178} x 70

V= 415800 cubic centimeter.

Therefore, the volume of the wheelbarrow is 415800 cubic centimeter.

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The smallest volume  of ice cream in Brand A.

Given:

Brand A:

height of cone = 15 cm

radius of cone base = 4 cm

Brand B:

height of cone = 12 cm

radius of cone base = 5 cm

Volume of cone = 1/3πr² h

Volume of ice cream A = ( π \(4^2\) (15) ) /3 = 240 π/3 = 80 π

Volume of ice cream B = ( π \(5^2\) (12) ) /3 = 300 π/3 = 100 π

In comparison, you can figure out which one would give her more volume of ice cream in Brand A.

Therefore, the correct answer is option A. Brand A.

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Answer:

Sure, here is the solution for the equation G/B=M/n:

```

B = Gn/M

```

Here is the step-by-step solution:

1. Multiply both sides of the equation by B.

```

G/B * B = M/n * B

```

2. Simplify both sides of the equation.

```

G = Gn/n

```

3. Divide both sides of the equation by n.

```

G/n = Gn/n * 1/n

```

4. Simplify both sides of the equation.

```

B = Gn/M

```

Therefore, the solution for B is Gn/M.

Step-by-step explanation:

The study is investigating the relationship between the exposure to the suspected drug during pregnancy and the risk

of delivering a malformed infant. This study design is a case-control study design.

The resultant data are: forty mothers have taken the suspected drug during their pregnancies. Of these mothers, 35

have delivered malformed infants. In addition, 10 other infants are born with malfunctions," then the answer would be

as follows:

The type of study design that is described in this scenario is a case-control study design.

A case-control study design is a type of observational study design that compares people with a particular condition

(cases) to people without that condition (controls) to determine whether there is a relationship between the exposure

to a suspected risk factor and the development of the condition.

In this scenario, the cases are the 35 mothers who delivered malformed infants, and the controls are the 5 mothers

who did not deliver malformed infants. The study is investigating the relationship between the exposure to the

suspected drug during pregnancy and the risk of delivering a malformed infant. Therefore, this study design is a case

control study design.

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Answer:

y = 31,x= 148

Step-by-step explanation:

the explanation is in the image

that's all....have fun

\(6\)\(x^{12}\)\(y^{11}\)\(z^{19}\)\(\sqrt{5xyz}\)

How do you define the square root of a number?

In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

\(\sqrt{180x^{25 } y^{23} z^{39}\)

\(180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times\)

we have

square terms comes out

x is 25 times so we can write x as \((x^{12})^{2}\) \(*\)\(x\) therefore \(x^{12}\) comes out and only left inside is x

similarly \((y^{11})^{2}\) \(*y\) therefore \(y^{11}\) comes out and only left inside is y

\((z^{19})^{2} *z\) therefore \(z^{19}\) comes out and left inside is z

then the expression become

\(6\)\(x^{12}\)\(y^{11}\)\(z^{19}\)\(\sqrt{5xyz}\)

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For a 35 number of pages, the price would be equal. & it would cost $82.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

An online scrapbooking company charges $12 for a basic book and $2 per page.

Meanwhile, a family friend is willing to make a scrapbook for $47 plus $1 per page.

let, the number of page = x, the price would be equal.

so, we get,

12 + 2x = 47+x

i.e. x = 35

Hence, For a 35 number of pages, the price would be equal. & it would cost $82.

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To show that the vector field F(x, y, z) = (-2y, -2x, 7z) is a gradient vector field, we need to find a scalar function V(x, y, z) such that its gradient, ∇V, is equal to F. We can determine the function V by integrating the components of F with respect to their respective variables.

Let's find the function V(x, y, z) by integrating the components of F(x, y, z) = (-2y, -2x, 7z) with respect to their variables.
∫-2y dx = -2xy + g(y, z)
∫-2x dy = -2xy + h(x, z)
∫7z dz = 7/2 z^2 + k(x, y)
We can see that -2xy is a common term in the first two integrals. Similarly, we observe that there are no common terms between the first and third integrals, as well as the second and third integrals. Therefore, we can assume that g(y, z) = h(x, z) = 0, since they will cancel out in the subsequent calculations.
Now, we can rewrite the integrals:
∫-2y dx = -2xy + C1(y, z)
∫-2x dy = -2xy + C2(x, z)
∫7z dz = 7/2 z^2 + C3(x, y)
By comparing these integrals with the components of the gradient vector, we can conclude that ∇V = (-2y, -2x, 7z), where V(x, y, z) = -xy + 7/2 z^2 + C.
To determine the constant C, we use the condition V(0, 0, 0) = 0:
V(0, 0, 0) = -(0)(0) + 7/2 (0)^2 + C = 0
C = 0
Therefore, the function V(x, y, z) that satisfies V(0, 0, 0) = 0 is V(x, y, z) = -xy + 7/2 z^2. Thus, the vector field F(x, y, z) = (-2y, -2x, 7z) is indeed a gradient vector field F = ∇V.

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Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

Answer:

Step-by-step explanation:

correct one is b

If the hockey team scores 9 goals in their next game, it means that; the mean would be the most affected.

We are given the data set as;

3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.

Let us rearrange in ascending order to get;

0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6.

The mean = (0 + 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6)/12 = 3

Median = (3 + 3)/2 = 3

Mode = 1, 2, 3, 3, 5

Now, if they score 9 goals in their next game, it means that;

Mean = 45/13 = 3.46

Median = 3

Mode remains the same

Thus, mean will be the most affected.

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Answer:

Step-by-step explanation:

Given circle:

Convert the equation into the standard form of (x - k)² + (y - h)² = r²:

As per above:

Correct choice is A

A.2

Answer:

Solution given:

equation of a circle is:

x²+y²+4x-2y=-1

x²+y²+4x-2y+1=0

Comparing above equation with

ax²+by²+2gx+2fy+c=0

we get

a=1

b=1

g=2

f=-1

c=1

now

radius of a circle (r)=\(\sqrt{g²+f²-c}\)

substituting value

r=\(\sqrt{2²+(-1)²-1}=2\)

therefore radius of a circle is 2 units

So on solving provided question we can say that given coordinates are

(−6,4) and (−1,−8)so equation is x - y +10 = 0

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

given coordinates are

(−6,4) and (−1,−8)

so equation is

y-y1 = m(x-x1)

y-4 = x +6

x - y +10 = 0

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The required cubic polynomial is

f(x) = \(-2x^3-2x^2-28x+48\)

What is a polynomial?

An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.

The zeroes of the cubic polynomial are -4, 2, 3

Let the cubic polynomial is

f(x) = a(x - (-4))(x - 2)(x - 3)

f(x) = a(x + 4)(x - 2)(x - 3)

If x = -5, f(x) = 112

112 = a(-5 + 4) (-5 - 2)(-5 - 3)

112 = -56a

a = \(-\frac{112}{56}\)

a = -2

f(x) = -2(x+ 4)(x - 2)(x - 3)

\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)

(x +4)(x - 2)(x - 3)

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

\(8x^{2} +14x+6\)

Step-by-step explanation:

The formula for the area of rectangle is length times width:

\((2x+2)(4x+3)\\\)

Use FOIL method:

\(8x^{2} +6x+8x+6\\8x^{2} +4x+6\)

Answer:

0

Step-by-step explanation:

2a+1=1

2a=0

---   ---

2     2

a=0

Answer:

A=0

Step-by-step explanation:

2a+1=1

2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a",  and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)

2a=0  (1-1=0)

a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )

a=0 (the ans!)

Answer:

8 tables!

Thanks for clarifying.

Answer:

Step-by-step explanation: There are four possible digits that the code number can begin with: 1, 3, 5, or 7. Since each of these digits is equally likely to be selected, the probability of the code number beginning with a 7 is 1/4 or 0.25. Therefore, the probability that the code number for a new customer will begin with a 7 is 0.25 or 25%.