Which of the following statements about the similarity between rectangles and squares is not true?

Both rectangles and squares are quadrilaterals.

Both rectangles and squares have two sets of parallel sides.

Both rectangles and squares have four right angles.

Both rectangles and squares have four sides of equal length.

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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If A is between B and C, and AB=x+2, BC=4x-7 and AC=2x-1,  then the x=8 and AC=15 units.

Given,

That A is between B and C.

AB= x+2

BC= 4x-7

AC= 2x-1

Then,

BC = AB+AC

4x-7= x+2+2x-1

4x-7= 3x+1

4x-3x=1+7

x=8

Then the length of the line AC is

AC= 2x-1

AC= 2×8-1 =15 units

Hence, If A is between B and C, and AB=x+2, BC=4x-7 and AC=2x-1,  then the x= 8 and AC= 15 units

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Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Answer:

False, plants can be anything, take grass and trees and cacti, plant just need photosynthesis.

Step-by-step explanation:

You see, plants aren't based on if they are a flower or not

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

Answer:

150 min

Step-by-step explanation:

100/2=7500/x

100x=15000

     x=150

====================================================

Explanation:

We're told that "Christopher  says that all Rational (Q) numbers are Whole (W)", which makes Christopher not correct. Some rational numbers are whole numbers. For instance, the number 7 = 7/1 is rational and it's a whole number as well.

However something like 1/2 is rational, but it's not a whole number. A whole number doesn't have any fractional or decimal part to it. It can be thought of the number of something.

Comelia is correct because all whole numbers are rational. If x is some whole number, then x = x/1 is rational as well. Replace x with any whole number you want. Her statement does not work in reverse as shown above.

When drawing a Venn diagram, the circle for "whole numbers" will be entirely inside the circle for "rational numbers", and not the other way around.

Answer:

b) commutative

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum.

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

The required foci of the ellipse are also at (-4, -3).

To find the foci of the ellipse defined by the equation:

\(\dfrac{(x+4)^2}{4}+\dfrac{(y+3)^2}{9}=1\)

We need to identify the values of 'a' and 'b' from the equation, where 'a' is the semi-major axis, and 'b' is the semi-minor axis of the ellipse.

The general equation of an ellipse centered at (h, k) is given by:

\(\dfrac{(x - h)^2}{ a^2} + \dfrac{(y - k)^2}{ b^2} = 1\)

Comparing this with the given equation, we can see that the center of the ellipse is at (-4, -3), so (h, k) = (-4, -3).

Next, we find 'a' and 'b':

For the x-term: a² = 4

a = √4

a = 2

For the y-term: b² = 9

b = √9

b = 3

So, the semi-major axis 'a' is 2 units, and the semi-minor axis 'b' is 3 units.

Now, the distance from the center of the ellipse to the foci is given by:

\(c = \sqrt{(a^2 - b^2)\)

\(c = \sqrt{(2^2 - 3^2)\)

\(c=\sqrt{-5\)

The distance is imaginary, which means the foci are not real, and the ellipse is degenerate. A degenerate ellipse is essentially a circle. Since we have a degenerate ellipse, the foci coincide with the center of the ellipse.

Therefore, the foci of the ellipse are also at (-4, -3).

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The predicted population for Davis, South Carolina in 2014 is 54,780. Based on the information given, Cameron can calculate the average annual growth rate of the population in Davis, South Carolina between the years 2000 and 2007.

To do this, he can use the formula:
Annual growth rate = (final population / initial population)^(1/number of years) - 1
Plugging in the numbers, we get:
Annual growth rate = (23,000 / 10,050)^(1/7) - 1
Annual growth rate = 0.102 or 10.2%
Next, Cameron can use this growth rate to predict the population in 2014 using the formula:
Predicted population = initial population * (1 + annual growth rate)^number of years
Plugging in the numbers, we get:
Predicted population = 23,000 * (1 + 0.102)^7
Predicted population = 54,780

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Answer:

5.213

Step-by-step explanation:

bruh just search up right triangle calculator

The expression fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is simplified to give 8

The fraction: negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 is written in words

Rewriting the fraction

-4( (2 - ∛8 * 6) / 5)

The equation is simplified as

= -4( (2 - ∛8 * 6) / 5)

= -4( (2 - 2 * 6) / 5)

= -4( (2 - 12) / 5)

= -4( (-10) / 5)

= -4( -2)

= 8

Option C, 8 is the correct answer

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Answer:

869,750

Step-by-step explanation:

ignore all the stuff about cattle and pigs all there asking is him buying 1 and 3 so 1 is 306 acres so u would multiply by 1000$ an acre and 3 is 451 acres so multiply times 1,250$ that gives u 869,750

When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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9514 1404 393

Answer:

  B.  If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.

Step-by-step explanation:

A syllogism is a sequential implication:

  If p then q, and If q then r   ⇒   p therefore r.

__

To choose the example, you need to find the elements of each implication and see if they match this pattern.

A: p ⇒ q; q ⇒ r; r ∴ p . . . . not a syllogism

B: p ⇒ q; q ⇒ r; p ∴ r . . . . the syllogism we're looking for

C: p ⇒ q; q ∴ p . . . . not a syllogism

D: p ⇒ q; p ∴ q . . . . not a syllogism

One water tank can be rented for 160 dollars, according to the provided statement.

The radius of a circular is the separation between its centre and perimeter. Always, the circumference is twice the radius.

The volume of the cylinder-shaped water tank is given by the formula

V = πr²h, where

r is the radius

h is the height.

Substituting the given values, we get:

V = π(4 feet)²(2 feet) = 32π cubic feet

The cost of renting the water tank is given by the product of the volume and the cost per cubic foot:

Cost = 5 dollars/cubic foot × 32π cubic feet

Multiplying these values, we get:

Cost = 160π dollars

Therefore, it costs 160π dollars to rent one water tank.

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Answer:

RS = 18 units

Step-by-step explanation:

the 2 red strokes through RM and MS indicate they are congruent, that is

RM = MS = 9 , then

RS = RM + MS = 9 + 9 = 18 units

Answer:

2/27

Step-by-step explanation:

(2/3)/9 to divide fractions

2 9

-- ÷ ---- keep change flip

3 1

2 1

--- × ---- now multiply as normal

3 9

2/27

Answer:

She should mix 9 g of powder

Step-by-step explanation:

From the question, we can have a ratio for powder to water

we have 5 g of powder mixed with 45 cm^3 of water

So, for every 1 g, we have 5g/45 cm^3

we have 9 cm^3

So let’s relate this to the bigger water mix

Recall from above; we have the mixing as 1 g per 9 cm^2 of water

1g per 9 cm^2

x g per 81 cm^2

81 * 1 = x * 9

9x = 81

x = 81/9

x = 9g

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

Answer: \(y=\frac{1}{2}x+2\)

Step-by-step explanation:

Using the points \((0, 2)\) and \((2, 3)\), the slope of the line is \(\frac{3-2}{2-0}=\frac{1}{2}\).

Since the y-intercept is 2, the equation is \(y=\frac{1}{2}x+2\).

Of course it is true variable is x

PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;

\(o = \frac{pq}{2} \\ \)

\(pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } \)

\(o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ \)

\(o = \frac{( - 10 +6 ,10 - 2)}{2} \\ \)

\(o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ \)

\(o = ( - 2,4)\)

For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :

_____________________________________________

As u know the distance between 2 point is going to find by following formula :

\(pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ \)

\(pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } \)

\(pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } \)

\(pq = \sqrt{256 + 144} \)

\(pq = \sqrt{400} \)

\(pq = 20\)

Thus :

\(radius = \frac{pq}{2} \\ \)

\(radius = \frac{20}{2} \\ \)

\(radius = 10\)

_____________________________________________

Ok we're almost done cuz we have what we needed:

If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :

\( ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} \)

Is the equation of the circle in the standar form thus :

\( ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ \)

\( ({x + 2})^{2} + ({y - 4})^{2} = 100\)

As u can see option B is the correct answer.

And we're done ...

Answer:

18x+20y≤ 230

Step-by-step explanation:

step one

given data

A black sweatshirt costs $18, and a white sweatshirt costs $20

let x be the number of black and

let y be the number of white sweatshirts

step two:

Also, we are told that the club plans to spend no more than $230

hence the inequality for the situation is

18x+20y≤ 230

Answer:

sec²x

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

9514 1404 393

Answer:

  sec² x

Step-by-step explanation:

It is a trig identity that ...

  tan² x + 1 = sec² x

_____

If you like, you can convince yourself of this using the usual equivalents for tan and sec:

  tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x

If 4k+3 is a prime number, then the product of all the even integers less than p is congruent modulo p to either 1 or -1.

Let's assume that p=4k+3 is a prime number, and we want to find the product of all even integers less than p. We can write this product as:

2⋅4⋅6⋅...⋅(p-2)

We can rewrite this expression as:

2⋅(2⋅2)⋅(2⋅3)⋅...⋅(2⋅(k-1))⋅(2k)

We can then factor out a 2 from each term and get:

2^k⋅1⋅2⋅3⋅...⋅(k-1)⋅k

Now, let's consider the expression 1⋅2⋅3⋅...⋅(k-1)⋅k. This is the product of all integers from 1 to k, which is equal to k!. We can then apply Wilson's theorem, which states that if p is a prime number, then:

(p-1)! ≡ -1 (mod p)

Since p=4k+3 is a prime number, we can substitute p-1=4k+2 into Wilson's theorem:

(4k+2)! ≡ -1 (mod 4k+3)

We can then rewrite the original expression as:

2^k⋅(1⋅2⋅3⋅...⋅(k-1)⋅k) ≡ 2^k⋅(4k+2)! ≡ 2^k⋅(-1) (mod 4k+3)

Finally, we can simplify this expression by noticing that 2^k is either congruent to 1 or -1 modulo 4k+3. This is because:

2^(2k) ≡ (2^k)^2 ≡ 1 (mod 4k+3)

or

2^(2k) ≡ (2^k)^2 ≡ -1 (mod 4k+3)

Therefore, we can conclude that the product of all even integers less than p is congruent modulo p to either 1 or -1:

2⋅4⋅6⋅...⋅(p-2) ≡ 2^k⋅(4k+2)! ≡ 2^k⋅(-1) or 2^k⋅(1) (mod 4k+3)

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