Solve the system, enter the smallest x coordinate first

Answer:

1740 N

Step-by-step explanation:

To find the force, you need to multiply the mass by the acceleration.

(60.0 kg) × (29.0 m/s²) = 1740 N

The force will be 1740 N.

the answer is 168

Step-by-step explanation:

you times 4 by 2 you get 8.

now you got to times 4 by 40 and you get 160

now you add 8 to 160 you will get 168

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

Learn more about tangent line click;

https://brainly.com/question/23416900

#SPJ4

Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

The slope and y-intercepts of each line, respectively, are:

5. m = -2; b = 6       6. m = 5/3; b = 10/3       7. m = -1/4; b = 4

Slope of a line is calculated as, m = change in y / change in x.

5. Given (2, 2) and (3, 0):

Slope of the line (m) = change in y / change in x = 2 - 0 / 2 - 3

m = 2/-1

m = -2

To find the y-intercept (b), substitute m = -2 and (x, y) = (2, 2) into y = mx + b:

2 = -2(2) + b

2 = -4 + b

2 + 4 = b

b = 6

6. Given (1,5) and (4, 10):

Slope of the line (m) = change in y / change in x = 10 - 5 / 4 - 1

m = 5/3

To find the y-intercept (b), substitute m = 5/3 and (x, y) = (1, 5) into y = mx + b:

5 = 5/3(1) + b

5 - 5/3 = b

b = (15 - 5)/3

b = 10/3

7. Given (8, 2) and (-8, 6):

Slope of the line (m) = change in y / change in x = 6 - 2 / -8 - 8

m = 4/-16

m = -1/4

To find the y-intercept (b), substitute m = -1/4 and (x, y) = (8, 2) into y = mx + b:

2 = -1/4(8) + b

2 = -2 + b

2 + 2 = b

b = 4

Learn more about the slope of a line on:

https://brainly.com/question/29044610

#SPJ1

The slope of line r is -1/2

The equation of line q is given as

\(-2x + y =1\)

Make y the subject

\(y =1 + 2x\)

Rewrite the equation, as follows:

\(y =2x + 1\)

The slope of the above equation is:

\(m = 2\)

Line r is perpendicular to line q.

So, the slope (m2) of line r is calculated as:

\(m_2 = -\frac 1m\)

This gives

\(m_2 = -\frac 12\)

Hence, the slope of line r is -1/2

Read more about slopes at:

https://brainly.com/question/1884491

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

To know more about Efficiency visit:

https://brainly.com/question/13222283

#SPJ11

It is not possible to reach the top of the ladder to the edge of the roof.

We can solve this problem using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the ladder is the hypotenuse of a right triangle, and the distance from the base of the ladder to the house and the distance from the top of the ladder to the edge of the roof are the two shorter sides.

Let x be the distance from the top of the ladder to the edge of the roof. Then, we can write:

\(10^{2}\) = \((1.5)^{2}\) + \(x^{2}\) + \(12^{2}\)

Simplifying and solving for x, we get:

100 = 2.25 +\(x^{2}\) + 144

\(x^{2}\) = 100 - 2.25 - 144

\(x^{2}\) = -46.25

Since x represents a distance, which must be positive, this means that there is no solution to the equation. Therefore, it is not possible for Sammy to reach the edge of the roof with his 10-foot ladder while keeping the base of the ladder at least 1.5 feet from the base of the house.

Correct Question :

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof?

To learn more about edge here:

https://brainly.com/question/2272331

#SPJ4

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

To learn more about proportionality visit the link:

https://brainly.com/question/24868934

#SPJ1

The exact value of the expression cos(-10pi/3) is -1/2.

To find the exact value of cos(-10pi/3), follow these steps:

1. Determine the equivalent positive angle: Since the cosine function has a period of 2pi, we can add multiples of 2pi to the angle until we get a positive angle. In this case, we add 4pi (since 4pi = 12pi/3) to get the equivalent positive angle:
  (-10pi/3) + (12pi/3) = 2pi/3.

2. Find the cosine value of the positive angle: Now, we find the cosine value of the positive angle 2pi/3. Using the unit circle, we can determine that cos(2pi/3) = -1/2.

So, the exact value of the expression cos(-10pi/3) is -1/2.

Learn more about trigonometric functions

brainly.com/question/6904750

#SPJ11

Answer:

i is probably 1.

Step-by-step explanation:

1^3 is equal to 1

1^47 is equal to 1

Answer:

2/5, 16/25, and 11/4

Step-by-step explanation:

40/100 to 4/10 to 2/5

64/100 to 32/50 to 16/25

275/100 (by 25) to 11/4

Answer:

d

Step-by-step explanation:

GO QUICK

Answer:

Triangular Prism, (D)

Step-by-step explanation:

There are 65900 square centimetres present in a backyard garden that has an area of 6.59 square meters.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number is between 1 and 10s, it is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5 × 10¹².

To calculate a square meter value to the related value in cm², just multiply the quantity in m² by 10000 (the conversion factor). Here is the formula for it:

Value in cm² = value in m² × 10000

We need to convert 6.59 m² into cm². Using the conversion formula above, we will get:

Value in cm² = 6.59 × 10000 = 65900 cm²

To know more about

https://brainly.com/question/9194021

#SPJ4

Answer:

800

Step-by-step explanation:

700________________750___________771________800

771 is over 750 so it would be rounded to 800

Answer: 800

Step-by-step explanation:

771 is 50+ thus it round over to 800.

Answer:

259

Step-by-step explanation:

The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.

After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.

Thus, the answer is "Yes."

The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.

Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.

To learn more about Bootstrap Method here

https://brainly.com/question/16931477

#SPJ4

Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.

Can the bootstrap method be used?

Group of answer choices

yes

no

so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180

so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees

a)The sample space is the set of all possible outcomes of a random experiment. Here the painter has 4 jars of paint and he picks randomly until he selects the jar of purple paint. Since the purple jar can be any of the 4 jars, the number of outcomes is 4.

The possible outcomes are O1, O2, O3, and O4. O1 represents the event that the purple jar is the first jar, O2 represents the event that the purple jar is the second jar,

O1, O2, O3, and O4. So the number of different events is given by: 2^4 - 1 = 15. The number of different events is 15. We subtract 1 from 2^4 because we are not including the empty set.c)When repetitions are allowed, the possible outcomes are:purple paint from the first jar, purple paint from the second jar, purple paint from the third jar, purple paint from the fourth jar,

non-purple paint from the first jar, non-purple paint from the second jar, non-purple paint from the third jar, non-purple paint from the fourth jar. So the sample space can be {P1, P2, P3, P4, N1, N2, N3, N4}d)An expression for the sample space is {P1, P2, P3, P4, N1, N2, N3, N4}.

The sample space is the set of all possible outcomes of the experiment. So we list all the possible outcomes in the set notation separated by commas. We use P1, P2, P3, P4 to represent the event that the purple paint comes from the first, second, third and fourth jars respectively, and N1, N2, N3, N4 to represent the event that the non-purple paint comes from the first, second, third and fourth jars respectively.

To know more about possible visit:

https://brainly.com/question/30584221

#SPJ11

Answer:

C.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

square root of 68 is 8.246

Answer:

2/3 of 30 miles in 3/4 hours is the same as 20 miles in 1/2 hour.

Step-by-step explanation:

30/1x2/3

60/3 = 20

3/4x2/3

6/12 = 1/2

brainliest pls

Answer:

130 m

Step-by-step explanation:

See the attached, pleasantly presented, worksheet.

Answer:

x=1.88

Step-by-step explanation:

x=1.88

Step-by-step explanation:

Answer:Arc Length = 40

Step-by-step explanation:

Answer:

The median for Set A is greater than the median

for Set B.

Step-by-step explanation:

From the boxplot attached, we can deduce the following :

Median (vertical line in between the box on a boxplot).

Median, set A = 30

Median, set B = 29

Range = (Maximum - Minimum. Value)

Set A :

Maximum = 35 ; Minimum = 21

Range = 35 - 21 = 14

Set B :

Maximum = 37 ; Minimum = 24

Range = 37 - 34 = 3

Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.

Answer:

B' (3,4)

All you need to do is flip the ordered pair

Answer:

p = a - prt x 100

Step-by-step explanation:

a = p + prt ÷ 100

a - prt = p ÷ 100

a - prt x 100 = p

Hope this helps. :)

Answer: A

Step-by-step explanation:

JUST TOOK THE QUIZ

The measure of angle FDE is 68.5°

the correct answer is an option (d)

Consider the following figure.

We know that whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

Here, chords BE and FC cuts across the circle forming ∠FDE.

According to above statement, the measure of ∠FDE would be equal to the sum of the measurements of the arc BC and FE

⇒ m∠FDE = 1/2( Arc BC + Arc FE)

⇒ m∠FDE = 1/2 (61° + 76°)

⇒ m∠FDE = 137/2

⇒ m∠FDE = 68.5°

Therefore, the correct answer is an option (d)

Learn more about an angle here:

https://brainly.com/question/14569348

#SPJ4

Answer:

The measure of angle FDE is 68.5° (D)

Step-by-step explanation:

I TOOK THE TEST

Answer:

Step-by-step explanation:

In a right-angled triangle, one of the angles is always 90° (the right angle). The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

However, in the case of a right-angled triangle, there is no side opposite to the 90° angle. The opposite side is the side that is opposite to one of the acute angles, and the adjacent side is the side that is adjacent to that acute angle. Since there is no acute angle opposite to the 90° angle, there is no opposite side to the 90° angle.

Therefore, the tangent of 90° is undefined because there is no opposite side to the 90° angle in a right-angled triangle. Mathematically, we can say that:

tan(90°) = opposite/adjacent = undefined/adjacent

Since the opposite side is undefined, the value of the tangent is undefined.