How do i simplify -3x-15?

Answer:

d

Step-by-step explanation:

add all the angles you know to get 480

the number of angles - 2 x 180 to get 720

720-480=240

divide 240 by 3 to get x

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

Answer:

if you want to find the value of X and y here is the answer.

Answer:

he could run 240 miles in 30 days

Step-by-step explanation:

your welcome

Answer/Step-by-step explanation:

8 (x) = m

-----------------------

8 miles (days of the month) = total miles ran

The Upper Control Limit (UCL) for the X-chart is approximately 14.028.

To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).

The control limits for the X-chart can be determined using the following formulas:

\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)

\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)

In these formulas:

X-double-bar represents the overall average measurement.

MR-bar represents the average moving range.

A2 is a constant that depends on the sample size.

The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

In your case, the overall average measurement is 12.5, and the average moving range is 0.5.

Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)

\(\approx 3.267 - (0.15 \times 1.414)\)

≈ 3.267 - 0.2121

≈ 3.0559

Now, we can calculate the control limits for the X-chart:

\(UCL = X-double-bar + A2 \times MR-bar\)

\(= 12.5 + 3.0559 \times 0.5\)

= 12.5 + 1.52795

≈ 14.028

Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.

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Answer:

40 is

But it is not an

By incorporating conic sections into the design, the robotic prototype can achieve optimal functionality, improved maneuverability, precise data collection, and effective communication.

Purpose: The robotic prototype will be designed to assist in agriculture by automating the process of crop planting and harvesting in large-scale farms.

Incorporating Conic Sections:

1. Circular Base: The robot can have a circular base that allows for efficient movement in any direction. The circular base can provide stability and smooth rotation, enabling the robot to navigate through fields and maneuver around obstacles.

2. Elliptical Arms: The robot can be equipped with elliptical arms that can extend and retract. These arms can be used for tasks such as seed planting or harvesting. The elliptical shape allows for a wide range of motion, reaching different areas within the farm while maintaining precision and efficiency.

3. Parabolic Sensors: To detect and analyze the quality of crops or soil conditions, the robot can be equipped with parabolic sensors. The parabolic shape of the sensors helps focus and collect data accurately, allowing the robot to assess crop health, moisture levels, and nutrient content with greater precision.

4. Hyperbolic Communication System: The robot can utilize a hyperbolic communication system to transmit data and receive instructions from a central control system or farm management software. The hyperbolic shape aids in efficient long-range communication, ensuring reliable connectivity and enabling real-time monitoring and control of the robot's activities.

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9514 1404 393

Answer:

  A  function 2

Step-by-step explanation:

"Rate of change" in this context refers to the slope of the line.

Function 1

The slope of the line is the "rise" divided by the "run". That is, the vertical change between two points divided by the horizontal change between two points. Usually, we like to choose points where the line crosses gridline intersections. One of these is the y-intercept (0, -2). Another is 2 units right and 1 unit up at (2, -1).

The slope of function 1 is then ...

  m = rise/run = 1/2

__

Function 2

The equation for function 2 is written in the "slope-intercept form." That is, the form is ...

  y = mx + b . . . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, we find ...

  m = 5/2, b = -2

The slope is m = 5/2.

__

The slope of function 2 is 5/2. That is greater than the slope of function 1, which is 1/2.

Function 2 has the greater rate of change.

Answer:

One real-world example of an object/scenario where a limit exists is the concept of a car approaching a maximum speed.

Let's consider a car accelerating on a straight road. As the car continues to accelerate, there may be physical or engineering limitations that prevent it from reaching an infinite speed. These limitations could be factors like engine power, aerodynamic resistance, or speed limits imposed by laws or safety considerations.

In this case, we can approximate the limit of the car's speed as it approaches the maximum achievable speed. As the car accelerates, its speed increases, but it eventually reaches a point where the increase in speed becomes negligible. At this point, the car is said to have approached its maximum speed or reached its speed limit.

For example, let's say a car is accelerating from 0 km/h and its maximum speed is 200 km/h. As the car accelerates, it gradually gets closer to its maximum speed. At some point, the incremental increase in speed becomes very small, and the car's speed stabilizes around 200 km/h. This indicates that the car has approached its limit or maximum speed.

In this scenario, we can approximate the limit of the car's speed as it approaches 200 km/h. However, it's important to note that the actual limit may depend on various factors and may vary in different real-world situations.

Step-by-step explanation:

Answer: x is 5 if this isnt right then im sorry.

(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).

Let's denote the given coefficient matrix as A:

A = [ -1 -4

      1 -1 ]

The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:

Φ(t) = e^(At)

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

Finding the fundamental matrix φ(t) satisfying φ(0) = I:

To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):

φ(0) = Φ(0) = e^(A * 0) = e^(0) = I

So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

In summary, for the given system:

(a) The fundamental matrix Φ(t) is e^(At).

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.

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Answer:

C

Step-by-step explanation:

The radicand x - 1 ≥ 0 ( add 1 to both sides )

x ≥ 1

Then

domain is [ 1, ∞ )

Answer:

yes

Step-by-step explanation:

x is an irrational number which is infinite

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer:

no solutions

Step-by-step explanation:

-7 does not equal 7, so there are no solutions.

Infinite solutions would be if it was two equal values, for example, 7 = 7.

Answer:

A building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base isA building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base is 890ft. What are the dimensions of the base? 890ft. What are the dimensions of the base?A building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base is 890ft. What are the dimensions of the base?

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer: 5x + 15 = y

Step-by-step explanation:

mx+b = y

find rise over run

(y_2-y_1)/(x_2-x_1) = m

(-5-5)/(-4+2)

simplify

-10/-2

10/2

5 = m

plug in a point and find b

5(-2) + b = 5

-10 + b = 5

b = 15

5x + 15 = y

The population of each country will become double in 47 years.

Given that,

The population of the Dominican republic is, n = 10.7 million.

The growth rate of the Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is p' = 1.5 %.

The doubling time of population growth depends on the rate of population growth.

Here,

n is the final population and n0 is the initial population and doubling the value in the future, n= 2*n0.

Solving this, we get:

t= ln (2*n0/n0)/(1.5/100) = 47 years.

Thus, we can conclude the population of each country will become double in 47 years.

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Answer:

z ≥ − 8

Step-by-step explanation:

Answer:

Ok so the information you gave is :-

Slope = 1/4

Y-intercept = 3

So first you will graph the y-intercept. So the y-intercept is 3 or (0, 3). Then you will plot the slope which is 1/4. If you know that slope = rise/run. So you will go 1 unit up and 4 units to the right. Hope this helps, thank you and if you need help then I am here.

Therefore , the solution of the given problem of area comes out to be

surface area of the rectangular prism is  422 units² a option c is correct.

A good indicator of all its overall size is how much room it takes up on the surface. When estimating the square of a triangular shape, the surrounding environment is taken into consideration. The surface area of anything determines its overall size. A cuboid's internal water volume is equal to the sum of the amounts on each of its six rectangular sides. Utilize the following formula to get the box's dimensions: The region in 2lh, 2lw, & 2hw is the same (SA).

Here,

Given :

x=7 units, y = 13 units, and z= 6 units

To find the surface area of rectangular prism:

Using formula

=>Area=2(xy+yz+zx)

=>Area = 2·(13·7+6·7+6·13)

=> Area = 422 square units.

Therefore , the solution of the given problem of area comes out to be

surface area of the rectangular prism is  422 units² a option c is correct.

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Answer:

13(g+4)=79=16    if          -13(g+4)=79+16

g=43/13                               g=-147/13=-11 1/13

Step-by-step explanation:

13g+52=95               -13g-52=95

13g=95-52                -13g=95+52

13g=43                      -13g=147

g=43/13                       g=-147/13=-11 1/3

Coach Yellsalot can create 792 different starting lineups of 5 players without including both Bob and Yogi, considering the combinations and permutations of the remaining players.

To calculate the number of possible lineups, we can use combinations and permutations.

First, let's consider the combinations of 5 players out of the remaining 10 players (excluding Bob and Yogi). This can be calculated using the formula for combinations, denoted as C(n, r), where n is the total number of players and r is the number of players in the lineup. In this case, we have C(10, 5) = 252 possible combinations.

Now, since the order of players does not matter in a lineup, we need to consider the permutations of the lineup combinations. The number of permutations can be calculated using the formula for permutations, denoted as P(n, r), where n is the total number of players and r is the number of players in the lineup. In this case, we have P(10, 5) = 30240 possible permutations.

However, we need to exclude the cases where both Bob and Yogi are in the lineup. This means we need to subtract the number of lineups that include both players from the total permutations. There are P(8, 3) = 336 possible permutations of the remaining 8 players (excluding Bob and Yogi) in a lineup of 3 players.

Therefore, the total number of starting lineups without both Bob and Yogi is P(10, 5) - P(8, 3) = 30240 - 336 = 29904.

Thus, Coach Yellsalot can make 792 different starting lineups of 5 players without including both Bob and Yogi.

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The value of x is 8 inches.

To find the value of x, we can use the property of similar triangles that states that the corresponding sides of similar triangles are in proportion. Specifically, we can set up the proportion:

4/10 = x/20

We can then cross-multiply to get:

4 * 20 = 10 * x

Simplifying this equation gives us:

80 = 10x

Dividing both sides by 10, we get:

x = 8

Therefore, the value of x is 8 inches.

In summary, we used the property of similar triangles and set up a proportion involving the corresponding sides of the two triangles. By cross-multiplying and simplifying, we were able to find the value of x.

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Complete Question:

Enter your answer and show all the steps that you use to solve this problem in the space provided.

On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.

The two triangles above are similar. Find the value of x. Be sure to explain your steps.

Answer:

6. 12cm

7. 11.2 cm

8. 92 degrees

9. 53 degrees

10. 37.5 cm

11. $ 693.12

Step-by-step explanation:

For questions 6-9 the triangle is congurent which means both their angles will be equal.

For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5

So for Q. 6 we can multiply side PQ by 1.5.

For Q.7 divide CA by 1.5.

For Q. 10 we can do cross multiplication:

5/4 = x/30

= 150= 4x

= 37.5=x

For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)

So the shorter side is 30.4 cm.

Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.

Then to figure out the money we multiply again and we get $693.12.

Answer:

Free points lol add my insta Lilly_dennison_2

Step-by-step explanation:

Answer:

Just use calculators, the answer will be (x;y) =(2;4)

Step-by-step explanation:

We have: 5x+2y=18 (1) and 2x+3y=16 (2)

From (1) we can make it into: x= (18-2y)/5 and replace into (2) we have:

2(18-2y)/5+3y=16 <=> 36-4y+15y=80 <=> 11y=44 <=> y=4

Then use y=4 for (1) or (2) we will find x=2

Final, the answer will be x=2 ; y=4