the opposite number of -6.1

Answer:

i got it is 0.6. That is the number

Answer:

75 percent of 80 is 60....

Step-by-step explanation:

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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A human-factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student in the class. The minimum floor space that 18 students require is 162 square feet.

What do you mean by human factor?

Environmental, organizational, and job elements as well as human and individual qualities that have an impact on behavior at work and could jeopardize health and safety are referred to as "human factors."

9ft²=1student

xft²=18 students

   9ft²            xft²

_______=_________

1student   18 students

Cross multiply

1x=162

divide both sides by 1

x=162ft²

Hence the correct answer is 162ft²

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The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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Answer:

Whats the question?

Im guessing that its  4 shelves with 22 dinos in each so the question might be how many dinos in all?

22 x 4 = 88

Answer:

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, the mean speed is 70 mph and the standard deviation is 3 mph. So, we can estimate the percent of vehicles whose speeds are between 64 mph and 76 mph as follows:

64 mph = 70 mph - 3 mph * 1

76 mph = 70 mph + 3 mph * 1

Since the speeds are within one standard deviation of the mean, we can use the Empirical Rule to estimate that approximately 68% of the vehicles have speeds between 64 mph and 76 mph.

So, the answer is approximately 68%.

Answer:

slope: 4

Y-intercept: -7

Step-by-step explanation:

you would have to solve for y so you subtract the 7 on both sides. then it is in slope-intercept form which is y=mx+b where m is slope and b is the y-intercept. the slope would be 4 and the y-intercept would be -7

In linear equation, 2800  did she invest in both if her return.

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).

                           In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.

assuming that the two investments are  X & Y

X + Y = 6300

X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 427                       (2)

replacing X from (1) into (2)

9/100(6300-Y) + 5/100 Y = 427

567 - 9/100Y + 5/100Y = 427

(-9+5)/100Y = 427 - 567

4/100Y = - 140

Y = 100* 140/4 = 3500

From (1) we can get X

X = 6300 - 3500 = 2800

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Answer:

A,B,E,F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Doesn't give the correct set of numbers im sorry I can't help you :(

Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do \(x=sin^{-1}\)(1/5) which ≈11.5396°

Answer:

(x,y) --> (-1x, y).

yes it's rigid motion as its a rotation

Step-by-step explanation:

the mapping rule is (x,y) --> (-1x, y).

We can figure this out by diving the xs of the primes by their originals. The conversion factor is multiplying by -1.

Yes it's a rigid motion, it's a rotation.

The reasonable domain to plot the growth function is {x : 0 ≤ x ≤10}.

y intercept of the graph of the function represents the initial height of the plant.

Average rate of change of the function f(n) from n = 3 to n = 10 is 0.43.

Given a growth function,

f(n) = 12 (1.03)ⁿ

Part A :

When the scientist concluded his study, the height of the plant was approximately 16.13 cm.

12 (1.03)ⁿ = 16.13

(1.03)ⁿ = 1.344

Taking logarithms on both sides,

n log (1.03) = log (1.344)

n = log (1.344) / log (1.03)

n = 10.006 ≈ 10 days

Domain = {x : 0 ≤ x ≤10}

Part B :

The y intercept of the graph of the function is the height of the plant in 0 days, that is the initial height of the plant.

Part C:

Average rate of change of the function f(n) from n = 3 to n = 10 is,

f(10) - f(3) / 10 - 3

f(10) = 12(1.03)¹⁰ = 16.127

f(3) = 12(1.03)³ = 13.113

Average rate of change = (16.127 - 13.113) / 7 = 0.43

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Answer:

28ft tall

Step-by-step explanation:

Since they are proportional, you can set up a ratio of length to width.

L/W=L/W

42/54=L/36

L=(42*36)/54

L=28

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

  = (20-w)/30

The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

Answer:

330 calories if it is 2 1/2 cup of cheerios.

Step-by-step explanation:

140 is 1 cup of cheerios multiply it by 2

50 is half a cup

now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.

Answer:

(x = 0, y = 0) and (x = 3, y = 0)

Step-by-step explanation:

Let's test out each pair by substituting the values into the inequalities.

Case 1: x = 0, y = 0

0 <= 6

0 < 6

It works!

Case 2: x = -5, y = -15

-15 <= 10 + 6 = 16

-5 + 15 = 10 < 6

It doesn't work.

Case 3: x = 4, y = -2

-2 <= -8 + 6 = -2

4 + 2 = 6 < 6

It doesn't work.

Case 4: x = 3, y = 0

0 <= -6 + 6 = 0

3 < 6

It works!

Case 5: x = 10, y = 0

0 <= -20 + 6 = -14

From here we can already see that it doesn't work

Case 1 and 4 work!

Answer:

x= 13

both angles are equal to 106

Step-by-step explanation:

8x + 2= 14x - 76

-8x +76 - 8x +76

78 = 6x

78/6 = 13

8 (13) + 2 = 104 + 2 = 106

14(13) - 76 = 182 - 76 = 106

Answer:  5 4/15

Step-by-step explanation:

1 3/5 + 3 2/3 = 8/5 + 11/3

Find the common denominator (5 and 3) = 15

So 8/5 equals to 24/15 because if 5 x 3 = 15 , 8 must also multiply by 3.

11/3 equals to 55/15 because if 3 x 5 = 15 , 11 must also multiply by 5.

Thus 24/15 + 55/15 = 79/15

This is an improper fraction, so converting to mixed number:

79/15 = 5 4/15 because 5 x 15 + 4 = 79

Triangle inequality theorem: the sum of any two sides of a triangle is greater than or equal to the third side.

Given lengths:

1-

As you can see above not all the inequalities are true. Then, those lengths cannot be side lengths of a triangle.

2-

All the inequalities are true. Then, those lengths can be side lengths of a triangle

3-

As you can see above not all the inequalities are true. Then, those lengths cannot be side lengths of a triangle

4-

All the inequalities are true. Then, those lengths can be side lengths of a triangle

Answer:

-5.8<2.9

Step-by-step explanation:

Answer:

x= 7

y= -2.75

Step-by-step explanation:

It's a system of equations so you have to use elmination to get a varibale.

I elminiated the y by multipling 5x+4y=24 by 2 and combining the two equations.

So now we are on 12x= 84. solve

x=7

plug it back into any formula, I chose 2x-8y=36 and solve for y

and you get the answer, Voila!

Answer:

5x + 4y = 24 (-4/5y + 24/5)

2x - 8y = 36 (4y + 18)

Step-by-step explanation:

Add -4y to both sides 1) 5x + 4y (-4y) = 24 (-4b)

Divide both sides by 5 2) 5x/5 = -4y+24/5

3) x = -4/5y + 24/5

Add 8y to both sides 1) 2x - 8y (8y) = 36 (8y)

Divide both sides by 2 2) 2x/2 = (8y + 36)/2

3) 4y +18

The marksman hit 54% of the targets last year when expressed as a percentage, based on hitting 27 out of 50 targets from a distance of 100 yards.

From the given information, we know that a marksman hit 27 out of 50 targets last year from a distance of 100 yards.

To analyze this data, we can calculate the hit rate or success rate of the marksman. The hit rate is calculated by dividing the number of hits by the total number of attempts or trials.

Hit rate = Number of hits / Total number of attempts

In this case, the number of hits is 27, and the total number of attempts is 50.

Hit rate = 27 / 50

Simplifying the fraction, we get:

Hit rate = 0.54 or 54%

Therefore, the marksman had a hit rate of 54% last year.

This means that out of the 50 targets attempted from a distance of 100 yards, the marksman successfully hit 27 of them.

The hit rate serves as a measure of accuracy and effectiveness in target shooting. A higher hit rate indicates a higher level of skill and precision.

It's important to note that other factors such as weather conditions, visibility, and the difficulty level of the targets can influence the hit rate. Additionally, the marksman's skills may improve or vary over time, so this hit rate represents their performance specifically for the past year.

By analyzing the hit rate, we can gain insights into the marksman's accuracy and assess their proficiency in target shooting from a distance of 100 yards.

The question was incomplete. find the full content below;

Rewrite The Fraction In The Sentence Below As A Percentage.

From 100 Yards Away, A Marksman Hit 27/50 Of The Targets Last Year.

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The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

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The statement " when adding an entry to a binary search tree, the search ends at a leaf if the entry is not already in the tree" is true.

A tree is a type of data structure made up of nodes and contains the following features:

1- Every tree has a root node (also known as a parent node) at the top that contains some value (can be any datatype).

2- There are 0 or more child nodes of the root node.

3- There are zero or more child nodes for each child node, and so forth. As a result, the tree gains a subtree. Each node has a separate subtree that consists of its offspring and their offspring, etc. This implies that any node can function as a tree on its own.

In addition, a binary search tree (BST) has the following two features:

1- Each node has a maximum of up to two children.

2-For each node, the values of its left descendent nodes are less than that of the current node, which in turn is less than the right descendent nodes (if any).

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Answer:

234,100

anything that is below 50 will go down.

Step-by-step explanation:

Answer:

234,100

Step-by-step explanation:

4 below let him go

5 and above bump him up

if youre looking in the hundreds place (the 1) you look to the right to see what number you have, if you follow the saying ^^ then 4 is let go so you just keep 100.

or if you want to look at it on a number line, 143 is closer to 100 than 200 :)