Estimate the product of 153 and 246 

Answer: The slope is 1.

Step-by-step explanation:

The equation of the line is y = mx+b where m represents the slope.

Since x has no coefficent, m must equal to 1.

Answer:

Open the image. (Hope you don't mind about bad writing)

Answer:

150

Step-by-step explanation:

Answer:

4 084 080 ways

Step-by-step explanation:

The number of ways is :

\(C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}\)

___________

Since

  18C3=816

  15C6=5 005

  9C9=1

then

\(C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080\)

Answer:

Length: 10 m

Width: 6 m

Step-by-step explanation:

The layout of the floor is l x w, which is 100 cm by 60 cm. Now, the confusing part: 1 meter (m) = 10 centimeters (cm)

To set this problem up, you'd first have to go through the logic. For every 10 centimeters of the floor layout, it is equal to 1 meter of the actualy floor plan. So you would have to scale 100 cm and 60 cm by \(\frac{1}{10}\) (or divide by 10).

We will ignore the units, for now

Length: 100 * \(\frac{1}{10}\) = 10    or    (100/10 = 10)

Width: 60 * \(\frac{1}{10}\) = 6       or    (60/10 = 6)

Now that we've finalized the numerical value, lets move on to the units. Since the question wants us to respond in meters, the length of 10 and the width 6 6 would be in meters.

So the answer would be:

Length: 10 m

Width: 6 m

Hope this helped!

Verification of homogeneous linear system for vector X is given by  X' = AX and X is a solution of homogeneous linear system equals to [5cos(t) , 3cos(t) - sin(t)e].

Homogeneous linear system.

dx = -2x+5y dt

dy = -2x + 4y dt

To verify that the vector X is a solution of the given homogeneous linear system,

Substitute it into the system and see if it satisfies both equations.

Substituting x = 5cos(t) and y = 3cos(t) - sin(t)e into the system, we get,

dx/dt = -2x + 5y

        = -2(5cos(t)) + 5(3cos(t) - sin(t)e)

        = -10cos(t) + 15cos(t) - 5sin(t)e

        = 5cos(t) - 5sin(t)e

dy/dt = -2x + 4y

        = -2(5cos(t)) + 4(3cos(t) - sin(t)e)

       = -10cos(t) + 12cos(t) - 4sin(t)e

       = 2cos(t) - 4sin(t)e

This implies,

X' = [dx/dt, dy/dt]

   = [5cos(t) - 5sin(t)e, 2cos(t) - 4sin(t)e]

And the coefficient matrix A is,

A = \(\left[\begin{array}{ccc}-2&5\\-2&4\end{array}\right]\)

Now calculate AX,

AX = [-2(5cos(t)) + 5(3cos(t) - sin(t)e), -2(5cos(t)) + 4(3cos(t) - sin(t)e)]

    = [-10cos(t) + 15cos(t) - 5sin(t)e, -10cos(t) + 12cos(t) - 4sin(t)e]

    = [5cos(t) - 5sin(t)e, 2cos(t) - 4sin(t)e]

Now, X' = AX,

so X is indeed a solution of the given homogeneous linear system.

Learn more about homogeneous linear system here

brainly.com/question/15878087

#SPJ4

Answer: not the process but hope this helps

The domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

All functions are relations in which there is no value of the domain related to more than one value of the range, functions in explicit form related the variable of the range in terms of the variable of the domain.

Based on the information shown in the graph, the domain is represented by the set of values of the time, that is, the horizontal axis, and the range is represented by the set of values of the height, that is, the vertical axis.

Hence, the domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/12431044

Answer:

complementary

x = 15

Step-by-step explanation:

The outer angle is a right angle as denoted by the red square mark. A right angle has a measure of 90°.

Complementary angles are angles whose measures have a sum of 90°.

Angles 3x and 45 are complementary angles.

3x + 45 = 90

3x = 45

x = 15

Answer:

complementary

x = 15

Answer:

complimentary angle

x=15

Answer:

The final cost of ice-cream container is: 2.09 dollars

Step-by-step explanation:

In order to find the price of an item after adding tax the tax is found on the price of the item and then added to the cost.

Given

Price of ice cream container = $1.99

Tax Rate = 4.75%

The amount of tax t will be:

\(t = 4.75\%\ of\ 1.99\\= 0.0475*1.99\\=0.094525\)

Rounding off to nearest hundredth

t = 0.10

The final cost is given by:

\(Final\ cost = Cost + tax\\= 1.99+0.10\\=2.09\)

Hence,

The final cost of ice-cream container is: 2.09 dollars

Answer:

(2,4)

Step-by-step explanation:

The solution for the system is where the two lines intersect.

The two lines intersect at x = 2 and y =4

(2,4)

Answer:

(2, 4)

Step-by-step explanation:

Solutions on graphs are where 2 lines meet on a point.

For this graph, both lines (equations) have a solution of (x=2, y=4).

Picture is included for more detail.

Answer:

It is very ez

Step-by-step explanation:

when there is a right angled triangle the arrow the 90° is pointing at is the hypotenuse. Hope it helped.

The probability that the component does not fail the test is 0.64.

Event A: The component fails the test with a probability of 0.36.
Event B: The component displays strain but does not actually fail with a probability of 0.31.

(a) We need to find the probability that the component does not fail the test.

Step 1: Identify the probability of A (failure) and its complement (non-failure).
P(A) = 0.36 (failure)
P(A') = 1 - P(A) (non-failure)

Step 2: Calculate P(A').
P(A') = 1 - 0.36

Step 3: Determine the probability that the component does not fail the test.
P(A') = 0.64

You can learn more about probability at: brainly.com/question/30034780

#SPJ11

All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

Given that;

One rectangular prism has a length of 1 foot, a width of 3 feet and a height of 4 feet.

And, The second rectangular prism has a length as 6 feet, a width as 3 feet, and a height of 2 feet.

Hence, the Volume of first rectangular prism is,

⇒ 1 × 3 × 4

And,  Volume of a second rectangular prism is,

⇒ 6 × 3 × 2

Thus, All the correct expressions that could be used to find the volume of the hamster house are,

⇒ (1 × 3 × 4) + (6 × 3 × 2)

Read more about rectangles here:

https://brainly.com/question/2607596

#SPJ1

Answer:

R=3K/P

Step-by-step explanation:

P=3K/R

RP=3K

RP/P=3K/P

R=3K/P

Answer:

Option D. All of the above

Answer:

Looks like it's 1.

Step-by-step explanation:

Since it is a positive slope and it goes up 1 unit, the slope is 1.

The perimeter of the triangle whose coordinates are A (2, 2), B (3, 3), and C (4, 2) is 4.828

We can determine the perimeter of a triangle with vertices by utilizing the distance formula.

Given that, we have the vertices (x₁,y₁), (x₂, y₂), (x₃, y₃). Then the length of each sides can be expressed as follows:

SIde AB = \(\mathbf{\sqrt{(x_1 -x_2)^2 +(y_1 -y_2)^2}}\)

Side AC = \(\mathbf{\sqrt{(x_1 -x_3)^2 +(y_1 -y_3)^2}}\)

Side BC = \(\mathbf{\sqrt{(x_2 -x_3)^2 +(y_2 -y_3)^2}}\)

Replacing the values of the coordinates into the given formula above the perimeter of the triangle is 4.828

Learn more about finding the perimeter of a triangle here:

https://brainly.com/question/24382052

#SPJ1

Yes, Because the amount charged grows by $35, a fixed amount, every time the number of months increases by 1.

Direct proportion, also known as direct variation, is a relationship between two quantities when their ratio equals a fixed number. The proportional symbol is used to denote it. The fact that the other quantity is inverted here means that the same symbol is really employed to denote inverse proportional.

Direct proportionality applies. This is so that the cost of the membership remains constant no matter how many months you choose to pay for. For instance, the cost is 1 x $35 if you pay for one month. The price increases to 2 x $35 if you pay for two months, which is twice as expensive.

To know more about direct proportionality visit:

https://brainly.com/question/14437120

#SPJ1

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

\(\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}\)

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

To know more about Differential equation here

https://brainly.com/question/2273154

#SPJ4

Step-by-step explanation:

Subtract 485 and 650.75 and your answer is -165.75, so he is 165.75 dollars over budget.

Answer:

$165.75

Step-by-step explanation:

if ask for over budget so it's

$650-$485 = 165.75

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

Answer:

There were 240/6=<<240/6=40>>40 contestants eliminated in round 1.

There were 240/5=<<240/5=48>>48 contestants eliminated in round 2.

There were 240/3=<<240/3=80>>80 contestants eliminated in round 3.

Altogether, there were 40+48+80=<<40+48+80=168>>168 contestants eliminated.

Therefore, there are 240-168=<<240-168=72>>72 contestants left.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

If you plug in the value of x (5) into the equation you get...

19-5=14

Then solve.

14=14

Is 14=14?

Yes!

Meaning that it is a solution.

Hope this helps!

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

Learn more about regression model here
https://brainly.com/question/31079962



#SPJ11

The composition of function is g ( x ) f ( x ) = 5x⁴ - 40x

Given data ,

Let the first function be g ( x ) = x³ - 8

Let the second function be h ( x ) = 5x

So, the composition of functions , g(x) x h(x) would be:

(x³ - 8) (5x)

We can distribute the multiplication to get:

5x ( x³ ) - 5x ( 8 )

On simplifying , we get

A = 5x⁴ - 40x

Hence , the result of the operation g(x) x h(x) is 5x⁴ - 40x

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ1

Answer:

1. swimming, playing soccer, walking, running

2. skiing, walking, ?

3. hot weather