5. Suppose the statement "even numbers are divisible by 2" is true. What is the truth value of
the statement "even numbers are not divisible by 2" ?

Answer:

h = 16

Step-by-step explanation:

The question you are dealing with here is a simple part + part = whole question.

In this question, we are given a part and whole and one part is missing. If we know the whole, and one part we can simply subtract the known part from the whole and find the missing part, which is 16.

Answer:

16

Step-by-step explanation:

The number of cubes in each of the diagrams are 64 cubes, 8 cubes, 1 cube and 27 cubes, respectively

Given that we have the diagrams (a) to (d)

As a general rule, the number of cubes in each of the diagrams is the volume of the shapes

The volumes are calculated as

Volume = Length * Width * Height

So, we have

Figure (a) = 4 * 4 * 4

Figure (a) = 64 cubes

Figure (b) = 2 * 2 * 2

Figure (b) = 8 cubes

Figure (c) = 1 * 1 * 1

Figure (c) = 1 cube

Figure (d) = 3 * 3 * 3

Figure (d) = 27 cubes

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Answer:

10612.08

Step-by-step explanation:

10000 + 2% of 10000 = 10200

10200 + 2% of 10200 = 10404

10404 + 2% of 10408 = 10612.08

Answer:

95%

Step-by-step explanation:

Upper limit = 8.09 cm

Lower limit = 6.41 cm

Distribution mean = 7.25 cm

Standard deviation = 0.42 cm

The number of standard deviations from the mean of the upper and lower limits are, respectively:

Both limits are two standard deviations away from the mean.

According to the empirical rule, in normal distributions, 95% of the data falls within two standard deviations of the mean. Therefore, 95% of the apples have diameters that are between 6.41cm and 8.09 cm.

1) The domain of   function represents the set of all possible values that the input (independent variable) can take.

In   this case the independent variable is the number of guests (t), and the function is C(t) = 65 + 5t, which gives the cost of renting the room for a given number of  guests.

Since the maximum capacity of the   room is 30 guest  , the domain of this function is restricted by this limit.   Therefore, the domain is  t ∈ [0, 30]

2) The function P(t) = 65 - 5t describes the current number of puppies available for adoption, where t is the number of days since the puppies were made available.

To find the domain of the function,   we need to determine the range of values that t can tke.

Since time cannot be negative in this context, the domain of the function is t ≤ 13, since after 13 days, all the puppies would have been adopted and there would be none left for adoption.

Therefore, the domain of the function is {t | t  ≤ 13}, which is  (0, 13)

3 ) . In this case, t represents   number of weeks since the launch of the website, and it can be any non-negative integer value (0, 1, 2, 3 ,

so, the domain of the function S(t) = 65 (1.25)^t is the set of all non-negative integers, or simply t ∈ {0, 1, 2, 3, .  }

Put in coordinate form, that would be  (0,∞).

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Answer:

64,000

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

12345

If you try to write other numbers like 678910, it will be six digits

The sprinkler waters an area of 225π square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

The area is defined as the space covered in a two-dimensional plane by any object.

If the sprinkler rotates 90°, it will cover one-fourth of a full circle.

The area of a full circle with a radius of 30 feet is:

πr² = π(30 feet)²= 900π square feet

So, the area of one-fourth of a circle with a radius of 30 feet is:

(1/4)πr² = (1/4)π(30 feet)² = (1/4)900π = 225π square feet

Therefore, the sprinkler waters an area of 225π square feet.

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a) The number of invitations  Sarah can purchase if she does not buy any party favors is: 40

b) The number of party favors Sarah can purchase if she does not buy any invitations is: 10

We are given the linear equation as:

3x + 12y = 120

Where:

x is the number of invitations for the birthday

y is the number of favors for the birthday

a) If she does not buy any party favors, then y = 0 and we have:

3x + 12(0) = 120

3x = 120

x = 40 invitations

b) If she does not buy any invitations, then x = 0 and we have:

3(0) + 12y = 120

12y = 120

y = 10 favors

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The area that Mr. Adams needs to paint is 34ft².

Given that the toy box measures 4 feet long, 1.5 feet wide, and 2 feet high. Since the area that mr Adams needs to paint is the outside area of this box, therefore, the area he needs to paint is the total surface area of the toy box.
Surface area of the box

= 2 [ (Length×Width) + (Height×Width) + (Length×height)]

= 2[ (4 ft ×1.5 ft) + (2ft × 1.5 ft) + (4 ft × 2 ft)]

= 2( 6 ft² + 3 ft² + 8 ft² )

= 34 ft²

Hence, the area is 34ft².

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The complete question must be:

Mr Adams is painting the outside of his son’s toy box, including the top and bottom. The toy box measures 4 feet long, 1.5 feet wide, and 2 feet high. What is the total area that Mr Adams needs to paint?

Ordering the side lengths of the triangle, we have FG < FH < GH

From the question, we have the following parameters that can be used in our computation:

The triangle

The general rule is that

The length opposite the gretaest angle is the greatest length

The length opposite the least angle is the least length

Using the above as a guide, we have

<G = 180 - 43 - 77

<G = 60

So, we have

43 < 60 < 77

For the side lengths, we have

FG < FH < GH

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Answer:

A About 46% because if you add up the less then 20,000 car file you get 188 and 86 is about 46% of 188

B About 20% because if you add up the less than 10,000 repair column you gut 197 and 40 is about 20% of 197

Step-by-step explanation:

Answer:

Bank A) 46%

Bank B) 20%

Step-by-step explanation:

A. (86 + 67 + 35 = 188

And since we know the whole, to find the probability divide 86/188

86/188 = .4574468085

Estimate .4574468085= .457

.457 x 100 = 45.7 %)

Estimate 45.7 % = 46%

B. ( 86 + 71 + 40 = 197

And since we know the whole, to find the probability divide 40/197

40/197 = .2030456853

Estimate .2030456853 = .203

.203 x 100= 20.3%

Estimate 20.3% = 20%

The quadratic equation Dounfg can use to find the side length of each piece of wood is:

8s² - 200 = 0

A quadratic equation is an algebraic equation of the second degree in the given variable (e.g. x).

The quadratic equation in its standard form is ax² + bx + c = 0,

where a, b and c are constant

Each piece of wood has a side length of s centimeters. Thus, the area of each piece of wood will be:

s * s = s²

And the total area of all eight pieces of wood will be:

8 * s² = 8s²

Also, the total area of all eight pieces of wood is 200 square centimeters.  Thus, we have:

8s² = 200

8s² - 200 = 0

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Answer:

-∞ < x < -11

Step-by-step explanation:

We Know

The solution is (-∞, - 11), which means the -∞ < x < -11.

So, the inequality is -∞ < x < -11.

Answer:

The answer is 14.76 to 2d.p

Step-by-step explanation:

Hyp²=opp²+adj²

let Hyp be x

x²=13²+7²

x²=169+49

x²=218

Square root of both sides

√x²=√218

x=14.76 to 2d.p

Answer:

14.76

Step-by-step explanation:

A square + b square = c square

13 square=169

b square=49

169+49=218

the root of 218 is 14.76

The down payment that will be required if the selling price is $437,250 is 87,450

According to the question,

Down payment = 20%

Selling price = $437,250

The down price can be calculated by calculating 20% of the selling price. This can be done as follows:

We convert the percent into decimal form, this can be done by dividing the percent by 100

Thus the value of a 20% downpayment is 0.20

Then we multiply the decimal by the selling price and get the down payment.

Down payment = 0.20 * 437,250

= 87,450

Thus, the amount paid in down payment is 87,450

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Based on the calculation, 9 Airbus A330-300s, 18 Boeing 767-300ERS, and 15 Boeing Dreamliner 787-9s and meet the capacity of an exact 5850 passengers with a cost of precisely $4950 million which adheres to regulations set forth by the U.S. industries.

From the second equation, we are capable of extracting z in terms of x through a singular expression:

z = (4950 - 700x) / 250

After converting this expression for z and inserting into the first equation, it is simplified to:

930x + 240[(4950 - 700x) / 250] = 5850

Through simplification and solving for x, one obtains:

x = 9

Utilizing the third condition indicated by the policy, it is requested that double the number of Boeings be purchased rather than Airbuses. Hence, the following order should be made:

Airbus A330-300s: 9

Boeing 767-300ERS: 2x = 18

Boeing Dreamliner 787-9s: z = (4950 - 700x) / 250 = 15

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For (A ∪ C) - B: 30 + 25 - 7 - 3 = 45

For (B ∪ C) - A: 30 + 25 - 10 - 3 = 42

For A ∪ B ∪ C: 10 students pass at least one subject.

The existing details provide that among 10 students taking tests, groups A, B, and C have 30, 30, and 25 students respectively.

Additionally, scores overlap between pairings of the three groups - 11 students in groups A and B got a similar score, similarly, for students in groups B and C it was 10, while for those in groups A and C there were 7 who scored alike.

To indicate those passing all three exams, one can use the inclusion-exclusion principle and determine that 3 students did so.

Accounting for circumstances where individuals are themselves part of multiple categories,

(A ∪ C) - B gets us 45 and (B ∪ C) - A goes to 42.

On the whole, from A through C, no less than 10 test-takers ended up passing at least one exam.

In summary:

For (A ∪ C) - B: 30 + 25 - 7 - 3 = 45

For (B ∪ C) - A: 30 + 25 - 10 - 3 = 42

For A ∪ B ∪ C: 10 students pass at least one subject.

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The value of k is 0, which means that the function becomes g(x) = f(x) + 0 = f(x).

From the given information, we can see that the vertex of f(x) is at (0, 1) and it has a V-shape. The point (-1, 2) and (1, 2) are also on the graph of f(x). We need to find the value of k if g(x) = f(x) + k.

Let's start by finding the function of f(x) based on the given information. Since f(x) has a V-shape and a vertex at (0, 1), we can write the equation as follows:

f(x) = |x| + 1

Now, let's use the table to find the values of g(x) for x = -1 and x = 1:

g(-1) = f(-1) + k = |-1| + 1 + k = 2 + k

g(1) = f(1) + k = |1| + 1 + k = 2 + k

We know that g(-1) = 2 and g(1) = 2, so we can write the following equations:

2 + k = 2

2 + k = 2

Solving for k, we get:

k = 0

Therefore, the value of k is 0, which means that the function becomes g(x) = f(x) + 0 = f(x).

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(3x1) x 4=3x(1x4) = associative property

The measure of the new angle x on the ramp is 40 degrees

The figure represents the given parameter such that the toy car is on a ramp

As a general rule, we have

The sum of angles on a straight line equals 180

substitute the known values in the above equation, so, we have the following representation

x = 160 = 180

So, we have

x = 20

Increasing x by 20, we have

x + 20 = 40

Hence, the angle is 40 degrees

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The amount that she pays is $28.50, and that is the 75% of the regular price.

We know that the regular price of the items she has is $38, and she has a 25% off coupon.

Then the amount that she will pay is given by:

A = $38*(1 - 25%/100%)

We are discounting that 25 percent.

A = $38*(1-  0.25)

A = $38*(0.75) = $28.50

Let's look at the equation above:

A = $38*(0.75) = $28.50

That says that the amount that she pays is 0.75 times the regular price, equivalent to a percentage of 75%, then the sale price is 75% of the regular price.

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Answer:

The Correct answer for the question is above in the picture

1. In figure A, ∠XTK is congruent to ∠HTR is True

2. In figure B, ∠WLN is complementary to ∠NLB is False

3. In figure B, m∠WLY+ZYLB = 180° is True

4. In figure C, ∠FMD is adjacent to DMS is True.

Complementary angles are angles that add up to 90°.

The theory of complementary angles states that whether they are adjacent angles or not, angles that complement one another are congruent angles.

Congruent angles are angles that are equal in measure to each other.

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Answer:

180 - 120 = 60

x + 65 + 60 = 180

x + 125 = 180

x = 55

Step-by-step explanation:

hope this helps

There is no value of x that would make the relation not a function.

The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.

To determine whether the relation is a function or not, we need to check if there are any repeated x values with different y values. If there are, then the relation is not a function.

So, if we substitute each x value in the relation, we get:

Since we don't know the y value for x, there is no repeated x value with different y values. Therefore, the relation is a function for any value of x, including x.

So, there is no value of x that would make the relation not a function.

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Answer:

First, it’s a loyalty program.  They are rewarding their loyal customers with a lower price.  This is good for building long term clients and maximizing lifetime revenue of a customer.  However, as a loyalty program it has a pretty big flaw.  After the customer gets his free coffee, he is back to ground zero and has no built up financial incentive to return.  Of course he does still know he gets a lower price if he buys 10 more.

The equation of the line in point-slope form is y = 2x/7 + 8.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to 2x - 7y-6=0, the slope is given by;

7y = 2x - 6

y = 2x/7 - 6/7

Slope, m = 2/7.

At data point (-7, 6) and a slope of 2/7, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = 2/7(x + 7)  

y = 2x/7 + 2 + 6

y = 2x/7 + 8

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