Which of these words is a synonym for vulnerable?
separated
unemployed
unprotected
freed

The percent of increase is 4.761 %

Given :

A laptop computer originally priced at $2100 now and sell for $2,200.

Percentage :

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.

If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Difference = sell price - original price

= 2200 - 2100

= 100

Percent of increase = 100 * 100 / 2100

= 100 * 1 / 21

= 100 / 21

= 4.761 %

Therefore 4.761 % increase in percent.

learn more about the percent here:

https://brainly.com/question/28840349

#SPJ4

The driver would have needed 76 feet to come to a complete stop after she saw the cow assuming she stayed on the road.

Stopping distance can be defined as a measure of the distance between the time when a brake is applied by a driver to stop a vehicle that is in motion and the time when the vehicle comes to a complete stop (halt).

In this scenario, we can infer that the driver would have needed 76 feet to come to a complete stop after she saw the cow assuming she stayed on the road.

Read more on stopping distance here: https://brainly.com/question/2233080

#SPJ1

Answer:

11

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."

Hope This Helps :)

Answer:

A

Step-by-step explanation:

You can tell it has a negative slope because the line is moving down

hope this helps <3

Answer:

8.50

Step-by-step explanation:

just divide 2 and 17 and so on

Answer:

$206

Step-by-step explanation:

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = $200

Time = the duration of the deposit = 1 year

interest rate = the percentage on deposit that would be earned = 3%

200 x 0.03 x 1 = $6

The amount that would be in the account = $200 + $6 = $206

cos B = \(\frac{BC}{BD}\) \(=\frac{4}{8}\) \(=\frac{1}{2}\)   c = [a2 + b2 - 2ab cos C] is the cosine formula used to determine the side of the triangle. a, b, and c are indeed the triangle's three sides. is that response accurate.

How do you calculate sin and cos B?

Formula: Sin (a,b) Cos

Sin a cos b = (1/2)[sin(a + b) + sin(a - b)] is the formula for sin a cos b. Whenever the composite angles (a + b) and (a - b) are available, as well as the quantities of degrees a and b, following equation for sin a cos b may be used.

How does the cosine rule work?

Every triangle that you would like to connect all 3 components to a single angle can benefit from the cosine rule. Knowing the other 2 aspects and indeed the opposing angle are necessary to determine the lengths of a side. It's edge a that you're looking for.

To know more about cosine click here

brainly.com/question/29114352

#SPJ4

Answer:

  True

Step-by-step explanation:

You want to know if it is true a data set can have the same mean, median, and mode.

The mean of a dataset is the average of all of its elements. The median is the middle one, or the average of the middle two elements. The mode is the most common element.

There is nothing in the definitions of these that prevents their being the same value. For a normally-distributed set of data, these all have the same value. A dataset does not need to be normally distributed (or even symmetrical) for these measures of center to be identical.

  True

For a sampling distribution that has a sample size of 36 for a 95% confidence level and the population standard deviation is known to be 12, then the margin of error will be 3.98.

Given that the sample size is 36, confidence level is 95% and the population standard deviation be 12.

We are required to find the margin of error of the sampling distribution.

Margin of error is the difference between real values and the calculated values of the sampling distribution.

Margin of error=z*σ/\(\sqrt{n}\)

,in which σ is population standard deviation and n is the sample size.

z value of 95% confidence level is 1.96.

Margin of error=1.96*12/\(\sqrt{36}\)

=1.96*12/6

=1.96*2

=3.98

Hence for a sampling distribution that has a sample size of 36 for a 95% confidence level and the population standard deviation is known to be 12, then the margin of error will be 3.98.

Learn more about margin of error at https://brainly.com/question/24289590

#SPJ4

Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

principle (p)=Rs1400

Rate(R)=6.5

time(T)=3

we know that

I=P×I×T/100

=1400×6.5×3/100

=273

therefore the simple interest earned is Rs273

Answer:

m∠C > m∠A > m∠B

Explanation:

The measure of every angle is proportional to the measure of its opposite side. So, we need to organize the lengths of the sides from least to greater in order to identify the correct answer.

Then, if p is equal to 3, we get:

AB = 4p - 1 = 4(3) - 1 = 11

AC = p + 4 = 3 + 4 = 7

CB = 3p = 3(3) = 9

If p = 4, we get:

AB = 4(4) - 1 = 15

AC = 4 + 4 = 8

CB = 3(4) = 12

Therefore, no matter the value of p, we get that

AB > CB > AC

Since C is the opposite angle of AB, A is the opposite angle of CB and B is the opposite angle of AC, we get:

m∠C > m∠A > m∠B

Answer:

let the two complementary angles be x and 90-x

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

Answer:

Step-by-step explanation:

Say thanks

mark brainlist

and rate 5!

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.

Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.

To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.

Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:

C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.

To know more about Member committee .

https://brainly.com/question/31194548

#SPJ11

The power series for f(x) 1/(1-x²) centered at 0 is:

1 + x² + x⁴ + x⁶ + ...

The first four nonzero terms are 1, x², x⁴, x⁶.

The power series expansion for the function f(x) = 1/(1-x²) centered at 0 can be found using the geometric series formula.

By letting a=1 and r=x²,

we get the series 1 + x² + x⁴ + x⁶ + ..., which converges for |x|<1.

This is because as x approaches 1 or -1, the terms of the series diverge.

Thus, the first four non-zero terms of the series are 1 + x² + x⁴ + x⁶.

This power series expansion is useful in many applications, such as in approximating the function near x=0 or in solving differential equations using power series methods.

Learn more about power series

brainly.com/question/29896893

#SPJ11

Answer:

x > 4

Step-by-step explanation:

x + 2 > 6

   -2    -2

x       > 4

Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

By subtracting the sum of the times for the first three runners from the average time for the four girls, we found that the fourth runner's time is 55 seconds.

To find the fourth runner's time, we can subtract the sum of the times of the first three runners from the total average time for the four girls.

Average time for the four girls = 8 minutes and 30 seconds

Sum of the times for the first three runners = 8 minutes and 45 seconds + 8 minutes and 57 seconds + 9 minutes and 23 seconds

Converting all the times to seconds, we have:

Sum of the times for the first three runners = 525 seconds + 537 seconds + 563 seconds

= 1625 seconds

Now, we subtract the sum of the times for the first three runners from the average time for the four girls:

Fourth runner's time = Average time - Sum of times for first three runners

= 8 minutes and 30 seconds - 1625 seconds

Converting 8 minutes to seconds, we have:

Fourth runner's time = 8 minutes and 30 seconds - 480 seconds - 1625 seconds

= 0 minutes and 55 seconds

Therefore, the fourth runner's time is 55 seconds.

Learn more about ”average time ” here:

brainly.com/question/14521655

#SPJ11

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

To learn more about the equation of a line visit:

brainly.com/question/2564656.

#SPJ1

The function is defined by this set of rules and we got the cost of mailing a letter weighing 2.5 ounces from the United States to Mexico in 2018 using function P is $2.89.

Based on the rules, the function P is defined as follows:

P(w) = 1.15, if 0 < w ≤ 1

P(w) = 1.99, if 1 < w ≤ 2

P(w) = 2.89, if 2 < w ≤ 3

P(w) = 3.30 + 0.45(w-3), if 3 < w

This function gives the cost, in dollars, of mailing a letter from the United States to Mexico in 2018 based on the weight of the letter in ounces, w.

To find the cost of mailing a letter weighing 2.5 ounces using function P, we need to evaluate P(2.5). Based on the rules defined above, we can see that 2 < 2.5 ≤ 3. Therefore, the cost of mailing a letter weighing 2.5 ounces would be:

P(2.5) = 2.89

So, it would cost $2.89 to mail a letter weighing 2.5 ounces from the United States to Mexico in 2018 using function P.

To learn more about function P please click on below link        

https://brainly.com/question/29244617

#SPJ4

Answer:

d) 7

Step-by-step explanation:

by converse of mid point theorem it would be that GH BISECTS JL so LH would be 7

Step-by-step explanation:

1160 divided by 8 is 145

so 1164 tecnically can't be divided by 8 normally so it comes in decimal form .

Answer:

1160 divided by 8 is 145

Step-by-step explanation:

but yah

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To know more about probability refer here :

https://brainly.com/question/11234923#

#SPJ11

Answer:

x = -5

Step-by-step explanation:

To test for an association between a categorical variable and a numerical variable, you can use a statistical method called Analysis of Variance (ANOVA).

In this case, you would use a one-way ANOVA to compare the mean salaries of professors across the four different ranks. This would allow you to determine if there is a significant difference in salary between the different ranks. It is important to note that ANOVA assumes that the numerical variable is normally distributed and that the variances are equal across the different groups. Additionally, post-hoc tests may be necessary to determine which specific groups have significantly different mean salaries. Keep in mind that the sample size and distribution of data can affect the validity of your results. A larger sample size and more normally distributed data will generally result in more accurate conclusions. To test the association between a categorical variable (professor rank with four levels) and a numerical variable (yearly salary), you can use the Analysis of Variance (ANOVA) test. ANOVA helps determine if there are significant differences among the means of different groups (ranks) and if these differences are not due to random chance. If the ANOVA test results show a significant association, it implies that the professor's rank is related to their yearly salary.

To know more about statistical method visit:

https://brainly.com/question/30652356

#SPJ11

Answer:

see below

Step-by-step explanation:

4c + 5 < 4c + 3

Subtract 4c from each side

4c-4c + 5 < 4c-4c + 3

5 < 3

This is never true so there are no solutions

Check the picture below.

\(tan(x)=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{42}}\implies tan(x)=\cfrac{25}{21}\implies x=tan^{-1}\left( \cfrac{25}{21} \right)\implies x\approx 50^o\)

Make sure your calculator is in Degree mode.

(2x + 5)² in the denominator represents the total number of gallons of gas purchased in the whole trip squared.

Annabella spends $2.25 per gallon on gas at the gas station. After driving a certain distance, she stops at a second gas station and spends $2.15 per gallon on gasoline.

Annabella can express her average cost per gallon of gasoline as 2.25 × 2.15(x + 5)/(2x + 5)²

The meaning of the parts of this rational expression in the context of the situation are as follows: 2.25 and 2.15 are the cost per gallon of gas at the two different gas stations.

x represents the number of gallons of gas bought at the first station.

5 is the number of miles driven between the first and second gas stations. And 2x + 5 is the total number of gallons of gas used in the entire trip (from the first gas station to the second).

Therefore, (x + 5) is the amount of gasoline bought from the second gas station, and 2x is the amount of gasoline bought from the first gas station.

The expression (x + 5)/(2x + 5) represents the weighted average of the cost per gallon of gas at the two gas stations.

Finally, (2x + 5)² in the denominator represents the total number of gallons of gas purchased in the whole trip squared.

To learn about averages here:

https://brainly.com/question/20118982

#SPJ11

A painter can paint 60 square feet every 1 hour.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A painter can paint 15 square feet every 1/4 hour.

Now,

Since, A painter can paint 15 square feet every 1/4 hour.

Let painter can paint in every 1 hour = x square feet

So, By definition of proportional as;

⇒ 15 / (1/4) = x / 1

Solve for x as;

⇒ 15 × 4 = x

⇒ x = 60 square feet

Thus, A painter can paint 60 square feet every 1 hour.

Learn more about the multiplication visit:

https://brainly.com/question/2811940

#SPJ1