Learning task 1
do the following:
1. statement: it is an eagle, it's a bird.
write the following in words:
(a) p-9
(b) 4p (c) plq
are all statements true? if not give a counter example.
2. statement: all wild animals are mammals.
.
write in words:
(a) p9
(b) a p (c)
pa
are all statements true? if not give a counter example.

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

Answer:

+3  +5   0   +3

Step-by-step explanation:

negatives are always less then 0 and above

Answer:

1. 3

2. 5

3. 0

4. 3

Step-by-step explanation:

The statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.

We have the following function -

g(x) = - x² + 14x + 39

We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.

Therefore, the statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

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Answer:He started with 243

Step-by-step explanation:

Work backwards

282 -12 =270

270/3.6 = 75

75 + 6 =81

81 * 3= 243

He started with 243

Answer:

243

Step-by-step explanation:

282-12=270

270÷3.6=75

75+6=81

81×3=243

what is trigonometry

trigonometry is a very common branch of mathematics the word trigonometry means measurement of side of a triangle this branch of mathematics can be used to find the angle of a triangle knowing its side or to find the ratio of side of triangle knowing its angle

fact

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

43.98 cm

Step-by-step explanation:

\(C=2\pi r\) where r is the radius

Plug the radius 7 cm into the equation as r

\(C=2\pi (7)\\C=14\pi \\C=43.98\)

Therefore, the circumference of the circle is approximately 43.98 cm.

I hope this helps!

The ramp shown does not match the recommended specifications.

Distance is a unit of measurement for the separation between two points or objects. There are several different ways to quantify it, including in terms of linear, angular, and temporal distance. Physics, mathematics, and other sciences all depend on the concept of distance. It is employed to describe the size of physical events, like the speed of light or the gravitational pull. It can also be used to calculate the separation in time or space between two places. The amount of separation between two individuals or locations is frequently described as distance in daily life.

The ramp should, in accordance with the recommendation, contain a minimum of 12 feet of horizontal space for every 1 foot of vertical increase. The ramp in the illustration has a 4 foot vertical rise, so it ought to extend at least 48 feet horizontally, yet it only does so for a total of 32 feet. As a result, the ramp does not adhere to the suggested guidelines.

For safety purposes, it's critical that ramps adhere to the suggested criteria. Anyone utilising a ramp that does not adhere to the suggested guidelines runs the risk of being injured in an accident. Consequently, it's critical to confirm that any ramp complies with the suggested requirements before using it.

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Answer:

Sarah bought 30 pencils

Step-by-step explanation:

1. Let define p, as the number of pencils bought, and m, as the number of markers bought.

2.

\(0.15p+0.30m=7.50\)

\(p=3m\)

3. Substitute p in the first equation to 3m since p=3m as defined.

\(0.15(3m) + 0.30m=7.50\\0.45m+0.30m=7.50\\0.75m=7.50\\m=10\)

plug m into equation p=3m to find the number of pencils bought

\(p=3m=3(10)=30\)

When considering a set of tosses of two fair 4-sided dice, there are a total of 16 possible outcomes. Each die has four possible outcomes, and since there are two dice, we multiply 4 by 4 to get 16.

The probability of rolling any specific outcome is 1/16. This is because each outcome is equally likely to occur, and there are 16 total outcomes.

To calculate the probability of rolling a specific total, we can create a table of all the possible outcomes and their corresponding totals. For example, if we roll a 1 on both dice, the total would be 2. If we roll a 2 and a 3, the total would be 5.

Once we have the table, we can count how many times each total occurs and divide by the total number of outcomes (which is 16). This will give us the probability of rolling each total.

For example, there is only one way to roll a total of 2 (rolling two 1's), so the probability of rolling a total of 2 is 1/16. There are three ways to roll a total of 5 (1+4, 2+3, and 3+2), so the probability of rolling a total of 5 is 3/16.

In summary, the probability of each outcome when tossing a pair of fair 4-sided dice is 1/16, and the probability of each total can be calculated by creating a table and counting the number of times each total occurs.

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

4-8=-2

2x+2=8

Step-by-step explanation:

..............................................................................

Answer:

The answer is K= -1/45 if the K isnt supposed to be in there then 19=2

Step-by-step explanation:

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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The answer you're looking for is -173

Answer:

calculate interest

5400×12.5%=675 for 90 days

after 45 day she paid 3000

so interst will be 675÷2=337.5

add it to 5400+337.5= 5737.5

5737.5-3000= 2737.5

Answer:

doesn't make sense...

Step-by-step explanation:

Answer:

It would double in size

Step-by-step explanation:

Judging as the circumference of a circle is dependent on the diameter, a circle whose diameter doubled in size would double.

An example would be a circle with the circumference of 20. It's radius would be 10 rather than 5. The circumference of the circle with a diameter of 10 would be roughly 31, while the circle with a diameter of 20 would have a circumference of roughly 62.

Answer:

Below is a breakdown of the results of these different compound periods with a 10% nominal interest rate: Semi-annual = 10.250% Quarterly = 10.381% Monthly = 10.471%

Answer:

3ft

Step-by-step explanation:

\(x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: \)

Answer:

16/3

Step-by-step explanation:

Every cup of apple juice goes along with 1.5 cups of ornage juice. So, if you divide 8 cups of ornage juice by the 1.5, you get 16/3 cups of apple juice.

Answer:

Rhombus

Let's solve your equation step-by-step.

4x+5=7x−16

Step 1: Subtract 7x from both sides.

4x+5−7x=7x−16−7x

−3x+5=−16

Step 2: Subtract 5 from both sides.

−3x+5−5=−16−5

−3x=−21

Step 3: Divide both sides by -3.

−3x/ −3 = −21/ −3

x=7

Answer:

40% decrease

Step-by-step explanation:

10% = 1

(multiply by 6)

60% = 6

100% - 60% = 40%

By replacing the values of the point in the quadratic equation, we can see that it is not a solution.

Here we have the quadratic equation:

y = 3x^2 + 5

And we want to see if the point 3x^2 + 5 is a solution of the quadratic equation.

To check that, we need to replace the values of the point in the equation and see if the equation is true.

We need to replace:

x = 5

y = 0

We will get:

0 = 3*5^2 + 5

0 = 3*25 + 5

0 = 75 + 5

0 = 80

This is a false equation, then (5,0) is not a solution.

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Answer:

Step-by-step explanation:

So you would take like three points from the shape and Multiply it by 1/3 and make the new graph.

I would show you but I dont know what to use for it.

Answer:

So, just divide each side by three

Step-by-step explanation:

.....

I cant draw it for you, but thats how u do it

Answer:

Step-by-step explanation:

I can't see the screenshot

so like yeah

Round to the nearest tenth for the right triangle, wouldn't it be 20 or am I wrong?

Solution:

In an input/output table, each output is larger than the corresponding input.

The operations which could be used are addition and multiplication.

Hence, the answer is addition and multiplication

The perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.

In this question,

a rectangle has a width w

Let l be the length of the rectangle.

A  length that is two more than its width.

⇒ l = 2 + w

We know that the perimeter of the rectangle is P = 2 × (length + width)

So, for the length l = 2 + w and width w, the perimeter of the rectangle would be,

P = 2 × (w + (2 + w))

We simplify above expression.

P = 2 × (2 + 2w)

P = 4 + 4w

Therefore, the perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.

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