If the following rectangular prism's width is halved, what will happen to the surface area?

1.The surface area will decrease by 1,017 sq. ft.

2.The surface area will decrease by 705 sq. ft.

3.The surface area will be halved.

4.The surface area will decrease by 672 sq. ft.

Answer:

b

Step-by-step explanation:

They are used for tissue repair and growth

Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

Use the rate as a ratio and use proportions to find how long it takes to run each distance.

5 miles.

8 miles.

11 miles.

16 miles.

It takes 45, 72, 99 and 144 minutes to run 5, 8, 11 and 16 miles, respectively.

Given:

Required:

We need to find the value of x.

Explanation:

Set x =28 and substitute in the equation.

This is not true.

x=28 is an extraneous solution.

Set x =39 and substitute in the equation.

This is not true.

Set x =52 and substitute in the equation.

This is true.

x=52 is the solution.

Final answer:

Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

(V2−V1)|V1|×100

=(7.5−5)|5|×100

=2.55×100

=0.5×100

=50%change

=50%increase

On solving the provided question, we can say that the roasting approach, which represents sets as 3, 5, 7, and 8, is one way to write domains

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these integers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully utilised to produce a single value of y by using the value of x.

A set of ordered pairs (x, y), {(3,6),(5,7),(7,7),(8,9)}.

The collection of x values that make up the domain of the function f(x) include,

The roasting approach, which represents sets as 3, 5, 7, and 8, is one way to write domains. Another is the arrow diagram method.

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54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

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Answer:

Increase?

Step-by-step explanation:

Because think about it let's use 1/2 as an example.

1/2 equals .5 now lets add 2 to both the numerator and denominator

3/4 is the result and it also equals .75 which is larger than .5 so that's why the answer is increase.

and u can keep on going on with the method

4/5=.8

If equal amounts are added to the numerator and the denominator of the current ratio, the ratio will always decrease.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Let m be the positive number.

And the ratio is p:q = p/q.

If equal amounts are added to the numerator and the denominator of the current ratio is,

(p+m)/(q+m).

The ratio will always decrease.

Therefore, the ratio will always decrease.

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The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

Parallel lines are those that never intersect. As a result, two parallel lines must have the same slope but different intercepts (if they had the same intercepts, they would be identical lines).

The equation of the line is 6x+3y=-12.

6x+3y=-12​

3y =-12-6x

y = -2x-4    

The slope of this line is -2.

Because parallel lines have the same slope, the new line will also have a slope of -2.

You now have a point (5,-3) and a slope; thus, use the Point-Slope form to solve the equation of a line.

y-y₁= m(x-x₁)

y+3 = -2(x -5)

y+3 = -2x+10

y =-2x+7

The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

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Answer:

(B) M - J = 6

Step-by-step explanation:

Here we have the variables:

M = number of games that Mike won.

J = number of games that Jeanie won.

And we know that there is a total of 38 games played, then if a game can not end in a draw, we have the equation:

M + J = 38

Now we want to find the other equation needed to solve this problem:

We also know that Mike won 6 more games than Jeanie, this is written as:

M = J + 6

We can subtract J in both sides to get:

M - J = 6

This is the equation from option B, so we can conclude that the correct option is B.

The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

slope = m = (8 - (-6)) / (8 - 6) = 7

y = mx + b

y = 2x + b

plug in (8, 8) to find b

8 = 2(8) + b

b = -8

y = 2x - 8

Answer:

\(P(2000) = 1599601500\)

Step-by-step explanation:

Given

\(P(x) = 0.2x\³ - 2000x + 1500\)

Required

Find P(x) when x = 2000

To do this, we substitute 2000 for x in \(P(x) = 0.2x\³ - 2000x + 1500\)

\(P(2000) = 0.2 * 2000^3 - 200 * 2000 + 1500\)

\(P(2000) = 0.2 * 8000000000 - 400000 + 1500\)

\(P(2000) = 1600000000 - 400000 + 1500\)

\(P(2000) = 1599601500\)

Hence, the profit is

\(P(2000) = 1599601500\)

Answer:

The answer to this is: 3160 and can i have brainliest?? please

Step-by-step explanation:

If 290 different coins are inserted into the vending​ machine, the expected number of rejected​ coins is 57 or 58 coins.

To solve the problem, we need to find the proportion of coins that fall outside the acceptable weight range and then multiply by the total number of coins to find the expected number of rejected coins.

First, we need to find the z-scores corresponding to the lower and upper bounds of the acceptable weight range:

Lower z-score = (5.342 - 5.432) / 0.069 = -1.304

Upper z-score = (5.522 - 5.432) / 0.069 = 1.304

Next, we need to find the proportion of coins that fall outside this range, which is the area under the normal curve to the left of the lower z-score and to the right of the upper z-score:

P(reject) = P(z < -1.304 or z > 1.304)

= P(z < -1.304) + P(z > 1.304)

= 2 * P(z > 1.304) (by symmetry of the normal distribution)

= 2 * [1 - P(z < 1.304)]

= 2 * [1 - 0.9015] (using a standard normal table or calculator)

= 0.197

Therefore, we expect 0.197 or 19.7% of the coins to be rejected, which is:

Expected number of rejected coins = 0.197 * 290 = 57.13 (rounded to two decimal places)

So, we can expect about 57 or 58 coins to be rejected by the vending machine.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

  B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

  (B -A) = (3/4)(C -A) . . . . the required distance relation

  4(B -A) = 3(C -A) . . . . . . multiply by 4

  4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

  B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

Answer:

the answer your looking for is (-3,-3)

Step-by-step explanation:

Answer:

What are the options?

CPCT?

The college instructor is most concerned with equity standards.

Equity standards are when an instructor adjusts grades to ensure fairness to all students regardless of their individual performances.

This means that if a class as a whole does not do as well as last year, the instructor will alter the distribution of grades so that the overall grades reflect the effort put in by the class.

For example, if the class average is a C, the instructor may raise some grades to a B or even A in order to ensure that the grades are fair to all students in the class.

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Prior to performing the clustering analysis, we select the value for k, the statement regarding k-means clustering is accurate and the minimum distance between the clusters should be used.

Data is divided into groups (clusters) using cluster analysis that is relevant, practical, or both. If creating meaningful groups is the goal, the clusters should reflect the data's inherent structure. However, cluster analysis can occasionally merely serve as a valuable starting point for other tasks, including data summarization. In a wide range of disciplines, including biology, statistics, pattern recognition, information retrieval, machine learning, and data mining, cluster analysis has long been crucial, whether for understanding or usefulness. Cluster analysis has been used to solve numerous practical issues.

Hartigan (1975, pp 90-91) provides the following general guideline when determining the number of clusters. When (sum(k$withinss)/sum(kplus1$withinss)-1)*(nrow(x)-k-1) is more than 10, it is justified to add the extra group if k is the result of k-means with k groups and kplus1 is the result with k+1 groups.

As a result, choice B is the appropriate response.

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The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The size of the interval in the histogram bins is too large.

We know that,

A histogram is defined as a display of statistical data that uses rectangles to indicate the frequency of information items in consecutive numerical intervals of equal size.

Here,

The size of the interval of the histogram's bins is too large. While observing the histogram, from the given information in the histogram, it cannot justify the true information regarding the fuel efficiencies of the trucks.

Thus, the size of the interval in the histogram is too large.

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The complete question is attached below:

The second gear has approximately 2 teeth.

To find the number of teeth on the second gear, we can use the concept of gear ratios. The gear ratio is the ratio of the number of teeth on the first gear to the number of teeth on the second gear. It is equal to the ratio of their rotational speeds.

Gear Ratio = (Number of Teeth on First Gear) / (Number of Teeth on Second Gear)

Given that the first gear is rotating at 60 rpm and has 23 teeth, and the second gear is rotating at 5 rpm, we can set up the gear ratio equation:

60 rpm (First Gear) / 5 rpm (Second Gear) = 23 teeth (First Gear) / X teeth (Second Gear)

Now, let's solve for X (the number of teeth on the second gear):

X = (23 teeth × 5 rpm) / 60 rpm

X = 115 teeth / 60 rpm

X ≈ 1.92 teeth

Since you cannot have a fraction of a tooth, you would generally round up to the nearest whole number.

Thus, the second gear has approximately 2 teeth. However, it's important to note that it's not practical to have a gear with only 2 teeth, as it wouldn't effectively mesh with the first gear.

In real-world applications, gears typically have a higher number of teeth for smooth and efficient operation. So, in practice, the second gear would likely have a different, more practical number of teeth.

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Answer:

15 ft

Step-by-step explanation:

This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x

We're told that the height of the building the ladder is leaning on is, x - 3

Also we're told that the distance at an adjacent from the ladder is 9 ft.

If we use Pythagoras theorem, we have

x² = (x - 3)² + 9²

x² = x² - 6x + 9 + 81

On rearranging, we have

x² - x² = -6x + 90

6x = 90

x = 90 / 6

x = 15 ft

Therefore, the length of the ladder is found to be 15 ft

Answer:

3/5

Step-by-step explanation:

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

\(x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0\)

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

x = 2 and x = -1

Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:

when x = 2 then  \(y=-(2)+5=3\)

when x= -1  then  \(y=-(-1)+5=6\)

Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

Answer:

2.5%

Step-by-step explanation:

Simple interest:

I = prt

2000 = 10,000 * r * 8

r = 0.025

r = 2.5%

Answer:

-2

Step-by-step explanation:

plug in -1