A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?​

Answer:

B and F

Step-by-step explanation:

took the test

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

the answer is A

Step-by-step explanation:

48 x 2 = 96

33 x 3 = 99

99 + 96 = 195

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

Answer:

D. Response bias

A. The survey should be administered by an impartial party.

Step-by-step explanation:

Response bias in a survey simply refers to the tendency of the respondents or questionnaires involved in a survey, to respond falsely or give untruthful answers to survey questions, which could be as a result of pressure to give answers that are desirable.

In the case of the Survey Regarding Violence Among Sports Spectators, which is being administered by Arena owners themselves, spectators might be compelled by the arena owners to give answers that are suitable to them, bad thereby resulting in false and untruthful responses. This is called response bias.

Response bias here can be remedied by allowing an impartial party to administer the survey, rather than Arena owners.

Answer:

Figure d)

Monopars are figures that have just one set of parallel lines.

Step-by-step explanation:

It looks like all the figures in group 1 have one set of parallel lines.  In group 2, they either have 0 or 2.  In group 3, only d has just one set of parallel lines.

So monopars are figures that have just one set of parallel lines.

Given:

There are given the circle.

Where,

Explanation:

According to the question;

We need to find the area of the shaded section:

To find the area, we will use their properties.

So,

From the properties:;

Then,

Then,

Final answer:

Hence, the area is shown below:

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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The classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 is independence of errors.

In a linear regression equation, the errors are assumed to be independent of each other, meaning that the error for one observation should not be related to the error for any other observation.

However, when you add a dummy variable that indicates whether the day is a weekday or not, you are introducing a systematic pattern into the errors.

Specifically, you are creating a situation where the errors for weekdays will be more similar to each other than to the errors for weekends, because the stock market is closed on weekends.

This violates the assumption of independence of errors, which can lead to biased estimates and unreliable inferences. To address this issue, you could consider including a different dummy variable that indicates whether the day is a weekend or not.

This would help to account for the systematic pattern in the errors and ensure that the classical assumptions are not violated.

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Check the picture below.

so let's word it differently

when will 15.83 + 0.13x = 16.33 - 0.09x?

\(15.83 + 0.13x = 16.33 - 0.09x\implies 15.83+0.13x+0.09x=16.33 \\\\\\ 0.13x+0.09x=16.33-15.83\implies 0.22x=0.5 \implies x=\cfrac{0.5}{0.22} \\\\\\ x=\cfrac{~~ \frac{ 1}{ 2} ~~}{\frac{22}{100}}\implies x=\cfrac{1}{2}\cdot \cfrac{100}{22}\implies x=\cfrac{25}{11}\implies x=2\frac{3}{11}\qquad \textit{2 hrs and 16 mins}\)

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

since 12inches=1foot

x inches=34feet

34feet converted to inches =408inches

total inches=408+8

T=416inches

dividing 416 by 8 we have

52 inches left

converting back to feet we get

4ft 4in

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

Rational.

----------------------------------------------------------------------------------------------------------------------

It is:

Rational. It's real value can be expressed as the ratio of 2 integers, therefore, it's rational.

It's not:

Natural. It's not a natural number since it can't be used to count things or to order things.

Integer and whole (it's the same). It's not an integer or whole because it can't be written without a fractional component. In this case the fracional component is the period.

Irrational. It's real value can be expressed as the ratio of 2 integers, therefore, it's rational.

The equation x² + y - 36 = 0 is symmetry about the y - axis.

We have to given that;

The equation of graph is,

⇒ x² + y - 36 = 0

Now, We get;

⇒ x² + y - 36 = 0

⇒ y = - x² + 36

By plotting the equation in graph we get;

The equation x² + y - 36 = 0 is symmetry about the y - axis.

Thus, The equation x² + y - 36 = 0 is symmetry about the y - axis.

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Answer:

7+x

Step-by-step explanation:

Add 3 and 4

3+4= 7

You can't add x since it's a variable so you just leave it as it is.

Hope this helps!

Answer:

Arranging the terms from least to greatest:

\(\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}\)

Now actual terms arranged from least to greatest will be:

\(3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}\)

Step-by-step explanation:

We need to arrange the weights \(3\frac{1}{5} ,3\frac{39}{1000},3\frac{99}{100},3\frac{52}{10}\) from least to greatest.

To arrange them in least to greatest we need to convert them into improper fractions and then make their denominators same.

\(3\frac{1}{5}=\frac{16}{5} \\3\frac{39}{1000}=\frac{3039}{1000} \\3\frac{99}{100}=\frac{399}{100} \\3\frac{52}{10}=\frac{82}{10}\)

Now, Making their denominator same by taking LCM of 5,1000,100 and 10

The LCM is 1000

Now the fractions will become:

\(\frac{16}{5}=\frac{16*200}{5*200}=\frac{3200}{1000}\)

\(\frac{399}{100}=\frac{399*10}{100*10}=\frac{3990}{1000}\)

\(\frac{82}{10}=\frac{82*100}{10*100}=\frac{8200}{1000}\)

Now we have fractions: \(\frac{3200}{1000},\frac{3990}{1000},\frac{8200}{1000},\frac{3039}{1000}\)

Now the smallest term will be one having smallest numerator

Arranging the terms from least to greatest:

\(\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}\)

Now actual terms arranged from least to greatest will be:

\(3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}\)

Answer:

Below

Step-by-step explanation:

The zeroes are given as x = 0   and x = - 4

then the factorization would be   ( x - 0 )( x - - 4)   =   x (x+4) = f(x)

The area of the shape for this problem is given as follows:

56 units².

Without considering the removed triangular region, the shape would be a rectangle of dimensions 7 units and 10 units, hence the area would be given as follows:

A = 7 x 10 = 70 units².

The removed shape is a triangle with base 7 and height of 10 - 6 = 4, hence it's area is of:

0.5 x 7 x 4 = 14 units².

Hence the area of the shape for this problem is given as follows:

70 - 14 = 56 units².

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Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Every second, 44 megabytes of files will be transferred to her hard drive.

The size of the files on her external hard drive in megabytes is given F, where F = 38 + 6t and t is the time in seconds since the transfer began.

The function is below

F = 38 + 6t   ....(i)

To determine the number of megabytes of files transferred to her hard drive every second

Substitute the value of t = 1 in the equation (i), and solve for F

F = 38 + 6(1)

F = 38 + 6

F = 44

So the number of megabytes of files = 44

Therefore, every second, 44 megabytes of files will be transferred to her hard drive.

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Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer:

i t s C i t h i n k s o i t h i n k t h i s wouod help u

Answer:

yes at line HE.

Step-by-step explanation:

Plane GFE is the plane that contains face EFGH of the prism.

Plane HBC is the plane that contains face BCEH of the prism.

The two planes do intersect, and their intersection is line HE.

Answer:

30 miles

Step-by-step explanation:

there is three miles per day so u count by 3 up to ten days and you’ll get 30 (10,30) option c