If s(x) = 2-x² and t(x) = 3x, which value is equivalent to (sot)(-7)?

Answer:

8000m

Step-by-step explanation:

8x10^3=8000

After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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MM, MF, FM, and FF where MM stands for two boys, MF stands for one boy and one girl in that order, FM stands for one girl and one boy in that order, and FF stands for two females.

As per the question given,  

The sample space for the gender of the children consists of all possible combinations of the genders of the two children. Assuming that the gender of each child is independent of the other and equally likely to be male or female, the sample space can be represented as:

{MM, MF, FM, FF}

where MM represents two boys, MF represents one boy and one girl in that order, FM represents one girl and one boy in that order, and FF represents two girls.

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-45 - 9n = -81

-9n = -81 + 45

-9n = -36

n = -36/-9

n = 4

Hope this helps you. :)

Answer:

4=n

Step-by-step explanation:

-81= -45-9n

+45   +45

-36= -9n

÷ -9     ÷-9

4= n

substitute:

-81= -45 -9 (4)

-81= -45 -36

-81= -81

Answer:

A. Parallelogram LMNP

B. 33

C. 98°

Step-by-step explanation:

LMNP is a parallelogram.

Adjacent angles of a parallelogram are Supplementary.

\( \therefore 82\degree +(3x - 1)\degree =180\degree \)

\( \therefore (3x - 1+82)\degree =180\degree \)

\( \therefore (3x +81)\degree =180\degree \)

\( \therefore 3x +81 =180 \)

\( \therefore 3x =180-81 \)

\( \therefore 3x =99 \)

\( \therefore x =\frac{99}{3} \)

\( \therefore x =33 \)

\( \implies m\angle N= (3x - 1)\degree=(3*33 - 1)\degree=(99-1)\degree = 98\degree \)

\( \because m\angle L =m\angle N\)

(Opposite angles of a parallelogram)

\( \therefore m\angle L =98\degree \)

Answer:

1 no the quadilateral is parallelogram

2 no .82+82+3x-1+3x-1=360

162+6x=360

6x=198

x=198/6

x=33

3 no angle L =3x-1(opposite angles of a parallelogram are equal)

3*33-1

99-1

98

Step-by-step explanation:

Working together, they can mow the yard in 48 minutes.

Given data;

A lawn can be mowed by Wilma in 120 minutes. In 80 minutes, Vanessa can cut the same lawn. When working together, how long does it take Wilma and Vanessa to mow the lawn?

Let 't' is their time in minutes working together.

Add their rates of working to get their rate working together,

Wilma's rate: [ 1 lawn ] / [ 120 min ]

Vanessa's rate: [ 1 lawn ] / [ 80 min ]

Rate working together: [ 1 lawn ] / [ t min ]

1/120 + 1/80 = 1/t

Multiply both sides by 240t;

2t + 3t = 240

5t = 240

t = 48

It takes them 48 min to mow the lawn working together.

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Answer:

Negative

Step-by-step explanation:

Negative/Positive = Negative

Answer:

The quotient will be negative

Step-by-step explanation:

A positive and a negative make a negative

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

Answer:

Answer Undefined

Step-by-step explanation:

This line is a vertical line because the x coordinate is the same on both points (5 is the x coordinate in both points). Vertical line's slopes are undefined because they go from up to down.

Answer:

Undefined

Step-by-step explanation:

Use the equation to find slope y2-y1/x2-x1

The height of the cylinder is 10 cm.

Let's start by understanding the terms involved. A right circular cylinder has two circular bases, and its lateral surface area refers to the curved surface that connects these bases. The circumference is the distance around each circular base.

We are given that the lateral surface area of the cylinder is 120 cm². The formula for the lateral surface area of a cylinder is given by:

Lateral Surface Area = 2πrh

Where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base, and h is the height of the cylinder.

Since we are given the circumference of the bases, we can find the radius using the formula for circumference:

Circumference = 2πr

Given that the circumference is 12 cm, we can rearrange the equation to solve for the radius:

12 = 2πr

r = 12 / (2π)

r = 6 / π

Now we have the radius, but we still need to find the height. Substituting the value of the radius into the formula for the lateral surface area, we get:

120 = 2π(6/π)h

120 = 12h

h = 120 / 12

h = 10

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Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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The benefits of using the theoretical capacity for Zippy, Inc. include providing a maximum production potential based on ideal conditions, aiding in long-term planning, and setting performance benchmarks. Practical capacity considers unavoidable interruptions and breakdowns, providing a more realistic estimate. The negative aspect of a master-budget denominator level is the potential for unused capacity costs, while the positive aspect is using a predetermined cost base for pricing decisions.

Theoretical capacity, based on three shifts and completion of five motorcycles per shift, gives Zippy, Inc. a maximum production potential of 5,400 units per year. This capacity measure helps in long-term planning, resource allocation, and setting performance benchmarks. On the other hand, practical capacity takes into account unavoidable interruptions, breakdowns, and other factors that can impact production. It provides a more realistic estimate of 3,840 units.

Regarding cost-based pricing, the negative aspect of a master-budget denominator level is that it may lead to unused capacity costs. If the estimated demand falls below the master-budget level, there could be underutilized resources, resulting in economic costs for the company. However, the positive aspect of using a master-budget denominator level is that it provides a predetermined cost base for pricing decisions. It helps in setting prices that ensure the company's costs are covered and profitability is achieved.

In summary, theoretical capacity aids in long-term planning and setting benchmarks, while practical capacity considers interruptions. The negative aspect of a master-budget denominator level is unused capacity costs, but it provides a predetermined cost base for pricing decisions, ensuring cost recovery and profitability.

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the reflection of coordinates ( -6, -3 ) on y-axis has coordinates ( 6, -3 ).

The reflection transformation can be with respect to x-axis and y-axis. When a point is reflected about the x-axis, the x-coordinates stay the same and y-coordinates are transformed and written with their opposite signs.

For example, the reflection of the point with coordinates (x, y) across x-axis is (x, -y).

When a point is reflected about the y-axis, the y-coordinates stay the same and the x-coordinates are transformed and written with their opposite signs.

For example, the reflection of the point (x, y) across y-axis is (-x, y).

As we can see that the point with coordinates ( -6, -3 ) lies in the third quadrant and thus the reflection of this point on y-axis lies in fourth quadrant. We know that in fourth quadrant  the x coordinate is positive and y coordinate is negative.  

By changing the signs according to the above rules, we get

from ( -6, -3 ) to  ( 6, -3 ).

Therefore, we can conclude that the reflection of coordinates ( -6, -3 )  on y-axis has coordinates ( 6, -3 ).

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Answer:

Step-by-step explanation:

when dividing we really are only multiplying when we flip the second fraction

so keep the first fracion the same and just flip the second one

a = 6

b = 5

c = 3

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

$515.35

Step-by-step explanation:

y-hat = 2.009x - 37.131

y-hat = 2.009(275) - 37.131

y-hat = 552.475 - 37.131

y-hat = 515.344

Therefore, the pizza parlor can expect a profit of $515.35 if it sells 275 pizzas.

Step-by-step explanation:

here is your answer

make me as brainlist thanks

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a.) The weight of the lightest pumpkin is :

that is ~ 5 lbs

b.) The Weight of heaviest pumpkin is :

that is ~ 95 lbs

c.) Median Weight of pumpkins is :

d.) percentage of pumpkins that weight more than 60 pounds is :

The distributive law allows the distribution of a factor outside a parenthesis to each term inside the parenthesis. The distributive law is very useful in algebraic manipulations and simplification of algebraic expressions.

In order to find the solution of the expression 87x63+87x37 using the distributive law, we have to distribute the common factor 87 to each term.87x63+87x37 = 87(63 + 37) = 87(100) = 8700. Therefore, the solution to the expression using the distributive law is 8700. The distributive law makes it easier to perform calculations on complex algebraic expressions. It also enables us to rewrite algebraic expressions in simpler and more compact forms.

By distributing a common factor, we can eliminate unnecessary terms and simplify expressions.

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Answer: $3,842.1

Step-by-step explanation:

-$750.25 + $4,592.35 = $3,842.1

a)   The velocity of the object at t = 10.0 s is 645.9 m/s.

b)    The object is at rest at t = -0.87 s and t = 0.62 s.

c)    The acceleration of the object at t = 0.50 s is 7.20 m/s^2.

A. To find the velocity of the object at t = 10.0 s, we need to take the derivative of the position function with respect to time:

v(t) = 3At^2 + 2Bt + C

Plugging in the given constants, we get:

v(10.0) = 3(2.10)(10.0)^2 + 2(1.00)(10.0) - 4.10

v(10.0) = 630.0 + 20.0 - 4.10

v(10.0) = 645.9 m/s

Therefore, the velocity of the object at t = 10.0 s is 645.9 m/s.

B. The object is at rest when its velocity is zero. So, we need to find the value(s) of t that make v(t) = 0. Using the same velocity function from part (A), we can set it equal to zero and solve for t:

3At^2 + 2Bt + C = 0

Plugging in the given constants, we get a quadratic equation:

6.30t^2 + 2.00t - 4.10 = 0

Using the quadratic formula, we can solve for t:

t = (-2.00 ± sqrt(2.00^2 - 4(6.30)(-4.10))) / (2(6.30))

t = (-2.00 ± sqrt(104.80)) / 12.60

t = (-2.00 ± 10.24) / 12.60

t = -0.87 s or 0.62 s

Therefore, the object is at rest at t = -0.87 s and t = 0.62 s.

C. To find the acceleration of the object at t = 0.50 s, we need to take the derivative of the velocity function with respect to time:

a(t) = 6At + 2B

Plugging in the given constants, we get:

a(0.50) = 6(2.10)(0.50) + 2(1.00)

a(0.50) = 7.20 m/s^2

Therefore, the acceleration of the object at t = 0.50 s is 7.20 m/s^2.

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Step-by-step explanation:

To have an equal number of buns and sausages, Arthur needs to find the least common multiple (LCM) of 6 and 10.

The LCM of 6 and 10 is 30.

Therefore, he should buy at least 30 packs of buns and 30 packs of sausages to get an equal number of buns and sausages.

That way, he would have 30/6 = 5 packs of buns and 30/10 = 3 packs of sausages.

Answer:

-15

Step-by-step explanation:

7-15xz

The differential equation describing the cell phone sales is \(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\).

Based on the given information, the cell phone sales growth is logistic, with a carrying capacity of 100 thousand units. When 28 thousand cell phones have been sold, the rate of sales increase is 10 thousand units per month.

The logistic growth differential equation is given by:

\(\frac{dy}{dt} = k \cdot y(t) \cdot \left(1 - \frac{y(t)}{M}\right)\)

where dy/dt is the rate of change in sales, y(t) is the number of cell phones sold after t months, k is the growth rate, and M is the carrying capacity.

In this case, y(t) = 28, dy/dt = 10, and M = 100. To find k, we can plug these values into the equation:

10 = \($k \cdot 28 \cdot \left(1 - \frac{28}{100}\right)$\)

Solving for k:

k ≈ 0.5357

Therefore, the differential equation describing the cell phone sales is:

\(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\)

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Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Answer:

6

Step-by-step explanation:

24/6 = 4

36/6 = 6

6 bags, 4 lollipops and 6 pieces of gum in each bag.

Answer:

12 bags

Step-by-step explanation:

You would need to find the GCF of both numbers: 12

24*12 = 2

38*12 = 4

12 bags with 2 lollipops and 4 pieces of gum in each

The value of k such that the solution set of the system is empty is any value of k that is not equal to 4.

A mathematical statement that expresses the equivalence of two numbers or expressions is known as an equation. It has two sides, the left-hand side (LHS) and the right-hand side (RHS), which are equal and are divided by the equal symbol (=). Variables, constants, and mathematical operations like addition, subtraction, multiplication, and division can all be found in an equation.

To find the value of k such that the solution set of the system of equations X + 2y = 5 and 2x + ky = 3 is the empty set (i.e., the intersection of their solution sets is the empty set), we can use the determinant of the coefficient matrix.

The coefficient matrix for the system is:

| 1 2 |

| 2 k |

The determinant of this matrix is:

\(det(| 1 2 |\)

| 2 k |) = (1)(k) - (2)(2) = k - 4

For the solution set of the system to be empty, the determinant must be non-zero, since a zero determinant would indicate that the coefficient matrix is singular and therefore the system has no unique solution.

So, we need to solve the equation k - 4 ≠ 0 for k:

k - 4 ≠ 0

k ≠ 4

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Answer:

The answer is D) (X,Y) ---(-y-x)

Answer:

x = 1

Step-by-step explanation:

4x + 6 - x = 7 + 2x

3x + 6 = 7 + 2x

3x - 2x = 7 - 6

x = 1

Answer:

x=1

Step-by-step explanation:

4x + 6 - x = 7 + 2 x

Combine like terms

3x +6 = 7+2x

Subtract 2x from each side

3x+6-2x = 7+2x-2x

x+6 =7

Subtract 6 from each side

x+6-6 =7-6

x=1

The required equation in slope-intercept or standard form is y = 2x+12.

It is required to find the equation in slope-intercept or standard form.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The equation of the line that is parallel to y=2x-4.

Parallel lines have the same slope,  We know the equation will be

y = 2x + b.

Use the point (-7,-2) to sub in for (x, y) to solve for b.

-2 = 2(-7) + b

-2=-14+b

12=b

So, the equation will be y = 2x+12

Therefore, the required equation in slope-intercept or standard form is y = 2x+12.

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