Alexandra is admiring a statue in Danville Park from 6 meters away. If the distance between the top of the statue to Alexandra's head is 10 meters, how much taller is the statue than Alexandra?

Answer:

A. -(7/5)

B.-41

Lemme know if u need an explanation

Tony's coins in ascending order of value will be 5p, 10p, and 15p.

Definition of in Ascending order

Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.

How do depict the information?

Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.

In this case, 5p + 10p + 15p = 30p

10p + 15p + 15p = 40p

5p + 5p + 10p + 15p + 15p = 50p

Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.

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Answer:

I believe it is 6.

Explanation:

Assuming h means height

A means area

and b means base

if the base is 4 then what do we need to divide in order to get 4 from 24?

24 divided by 6 is 4.

there are probably better ways to do this but that's just how I did it

Answer:

bce

on edg

Step-by-step explanation:

Answer:

\( \frac{ {y}^{3} }{ {x}^{2} } \)

Step- by- step explanations:

1) Remove parentheses.

\( {x}^{ - 2} {y}^{3} \)

2) Use Nagative power rule.

\( \frac{1}{ {x}^{2} } {y}^{3} \)

3) Simplify.

\( \frac{ {y}^{3} }{ {x}^{2} } \)

Therefor, the answer is Option H.

Answer:

\(\frac{y^{3} }{x^{2} }\)

Step-by-step explanation:

Have a great day

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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Answer:

yes

Step-by-step explanation:

Ludolph van Ceulen, a Dutch mathematician, calculated an impressive 35 digits of pi during his lifetime.

1. Van Ceulen used a geometrical approach called the method of polygons to approximate the value of pi.

This method involves inscribing and circumscribing polygons around a circle, then finding the perimeters of those polygons.
2. As the number of sides of the polygons increases, the perimeters of the inscribed and circumscribed polygons get closer and closer to the circumference of the circle.

The ratio of the circumference to the diameter of the circle is pi.
3. To improve the accuracy of his approximation, Van Ceulen increased the number of sides of the polygons.

He started with a polygon with a smaller number of sides and then successively doubled the number of sides.
4. For each set of polygons, Van Ceulen calculated the perimeters using trigonometric formulas and algebraic manipulations.

This process is quite labor-intensive and time-consuming, especially considering the mathematical tools available at the time.
5. By comparing the perimeters of the inscribed and circumscribed polygons, Van Ceulen was able to narrow down the range of possible values for pi.
6. Eventually, he reached a point where the polygons had so many sides that their perimeters were almost indistinguishable from the circumference of the circle.

At this stage, he determined pi to an accuracy of 35 digits.
It's important to note that Van Ceulen's achievement was remarkable for his time, as he completed these calculations by hand, without the aid of modern computers or calculators.

His dedication to the task led to a significant advancement in our understanding of pi.

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Every line on the graph is 1/2 unit.

When y = 0, x would be -0.25 and 1.25

When y = 2, x would be -0.5 and 1.5

Answer: 0.434

Step-by-step explanation:

Answer:

3 (x + 16) 2 + 11 12

Step-by-step explanation:

brainliest please

Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.

For the "Shorts" row: It's given that 42 people were wearing shorts.

Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.

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See text below

30 people surveyed were wearing open-toed shoes.

1/3 of the people with open-toed shoes were wearing

pants.

• 42 people were wearing shorts.

Twice as many people were wearing closed-toed shoes

than open-toed shoes.

Complete the table using the information given.

                   Open-Toed Shoes              Close-Toed Shoes         Total

Shorts                     -------                           ------                               --------

Pants                         ------                           ----------                            ------

Total                          ------                           ----------                            ---------

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

The CNF representation in set notation is: {{P, A, Q, V}, {P, A, Q, R}}

The CNF representation in set notation is:{{P, V, Q}, {A}, {R}}

The CNF representation in set notation is:{{!P, H}, {Q}}

The CNF representation in set notation is:{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

To convert the formula (PAQVR) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

PAQVR = (PAQV) ∧ (PAQR)

Convert each clause into sets.

(PAQV) = {{P, A, Q, V}}

(PAQR) = {{P, A, Q, R}}

Combine the clauses using conjunction.

{{P, A, Q, V}} ∧ {{P, A, Q, R}}

The CNF representation in set notation is:

{{P, A, Q, V}, {P, A, Q, R}}

To convert the formula (-(PVQ) AR) into CNF, we can break it down as follows:

Remove the implication.

(-(PVQ) AR) = (!(-(PVQ)) ∨ A) ∧ R

Apply De Morgan's Law and distribute the disjunction over the conjunction.

(!(-(PVQ)) ∨ A) ∧ R = ((PVQ) ∨ A) ∧ R

Convert each clause into sets.

(PVQ) = {{P, V, Q}}

A = {{A}}

R = {{R}}

Combine the clauses using conjunction.

{{P, V, Q}, {A}} ∧ {{R}}

The CNF representation in set notation is:

{{P, V, Q}, {A}, {R}}

To convert the formula (PH-Q) into CNF, we can break it down as follows:

Convert the implication into disjunction and negation.

(PH-Q) = (!P ∨ H) ∨ Q

Convert each clause into sets.

!P = {{!P}}

H = {{H}}

Q = {{Q}}

Combine the clauses using conjunction.

{{!P, H}, {Q}}

The CNF representation in set notation is:

{{!P, H}, {Q}}

To convert the formula (-(S+ (-PVQV-R)) into CNF, we can break it down as follows:

Remove the double negation.

-(S+ (-PVQV-R)) = (!S ∨ (PVQV-R))

Distribute the disjunction over the conjunction.

(!S ∨ (PVQV-R)) = ((!S ∨ P) ∧ (!S ∨ V) ∧ (!S ∨ Q) ∧ (!S ∨ V) ∧ (!S ∨ -R))

Convert each clause into sets.

!S = {{!S}}

P = {{P}}

V = {{V}}

Q = {{Q}}

-R = {{-R}}

Combine the clauses using conjunction.

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

To convert the formula ((RS) V-QV-P) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

((RS) V-QV-P) = ((RS ∨ -Q) ∧ (RS ∨ -V) ∧ (RS ∨ -P))

Convert each clause into sets.

RS = {{R, S}}

-Q = {{-Q}}

-V = {{-V}}

-P = {{-P}}

Combine the clauses using conjunction.

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

The CNF representation in set notation is:

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

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Answer with Step-by-step explanation:

\(a) {n}^{2} + 3 \\ \\ n = 1 \\ {1}^{2} + 3 \\ 1 + 3 \\ = 4 \\ \\ n = 2 \\ {2}^{2} + 3 \\ 4 + 3 \\ = 7 \\ \\ n = 3 \\ {3}^{2} + 3 \\ 9 + 3 \\ = 12 \\ \\ n = 4 \\ {4}^{2} + 3 \\ 16 + 3 \\ = 19 \\ \\ n = 10 \\ {10}^{2} + 3 \\ 100 + 3 \\ = 103\)

In this sequence,

1st term = 4

2nd term = 7

3rd term = 12

4th term = 19

10th term = 103

\(b)2 {n}^{2} \\ \\ n = 1 \\ 2 \times {1}^{2} \\ 2 \times 1 \\ = 2 \\ \\ n = 2 \\ 2 \times {2}^{2} \\ 2 \times 4 \\ = 8 \\ \\ n = 3 \\ 2 \times {3}^{2} \\ 2 \times 9 \\ = 18 \\ \\ n = 4 \\ 2 \times {4}^{2} \\ 2 \times 16 \\ = 32 \\ \\ n = 10 \\ 2 \times {10}^{2} \\ 2 \times 100 \\ = 200\)

in this sequence,

1st term = 2

2nd term =8

3rd term = 18

4th term =32

10th term = 200

Answer:

You have 2 points where the graph intersects with the x-axis, x=-1 or x=5.

The graph intersect with the y-axis at y=-2

Answer:

B) S is inversely proportional to T.

Step-by-step explanation:

Since S is inversely proportional to T, then S = k/T, where k is a constant.

The solution is Option B , Option C.

The value of S is inversely proportional to the value of T or the value of S is directly proportional to 1/T

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

S = k/T   be equation (1)

The equation is of the form y = kx where k is the proportionality constant

The equation is true when it is directly proportional to the value

So , S ∝ 1 / T

where k is the proportionality constant

On simplifying the equation , we get

S = k ( 1 / T )

From the equation , we can see than S is inversely proportional to T

And ,

From the equation , we can see that S is directly proportional to ( 1 / T )

Hence , the proportion is S ∝ 1 / T and k is the proportionality constant

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Answer:

130.81

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

To obtain the upper 2% of scores :

We find the Zscore (value) of the upper 2% from the normal probability distribution table ;

Zscore corresponding to the area in the left of (1 - 0.02) = 2.054

Using this with the Zscore formula :

Zscore = (x - μ) / σ

2.054 = (x - 100) / 15

2.054 * 15 = x - 100

30.81 = x - 100

30.81 + 100 = x

x = 130.81

Answer:

tuff

Step-by-step explanation:

Considering the definition of an inequality, the maximum number of days that Ariana can rent the car while staying within her budget is 5 days.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "x" the number of days that Ariana can rent the car, the inequality in this case is

30.42x + 0.06×450 ≤200

Solving:

30.42x + 27 ≤200

30.42x ≤200 - 27

30.42x ≤173

x ≤173÷ 30.42

x≤ 5.687

Finally, the maximum number of days is 5 days.

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The probability of drawing 2 pennies and 2 dimes in any order is 0.0706 or approximately 7.06%.

To find the probability of drawing 2 pennies and 2 dimes in any order, we first need to calculate the total number of ways to select 4 coins without replacement from the given purse.
The total number of coins in the purse is 4 + 5 + 8 = 17. So, the total number of ways to select 4 coins without replacement is:
17 choose 4 = 17C4 = (17!)/(4!13!) = 2380
Next, we need to calculate the number of ways to select 2 pennies and 2 dimes in any order.
The number of ways to select 2 pennies from 4 is:
4 choose 2 = 4C2 = (4!)/(2!2!) = 6
Similarly, the number of ways to select 2 dimes from 8 is:
8 choose 2 = 8C2 = (8!)/(2!6!) = 28
To get the total number of ways to select 2 pennies and 2 dimes in any order, we need to multiply the number of ways to select 2 pennies by the number of ways to select 2 dimes:
6 * 28 = 168
Finally, we can calculate the probability of drawing 2 pennies and 2 dimes in any order by dividing the number of ways to select 2 pennies and 2 dimes by the total number of ways to select 4 coins without replacement:
168/2380 = 0.0706 or approximately 7.06%
Therefore, the probability of drawing 2 pennies and 2 dimes in any order is 0.0706 or approximately 7.06%.

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(i) The parametric equations x = 4 cos t and y = 2 sin t represent a graph of an ellipse.

(ii) The parametric equations x = sec t and y = tan t represent a graph of a hyperbola.

(iii) The parametric equations x = 2t + 3 and y = t² - 1 represent a graph of a

parabola.

(i) The parametric equations x = 4 cos t and y = 2 sin t represent a graph of an ellipse. As t varies from 0 to 2π, the values of x and y trace out the points on the ellipse. The center of the ellipse is at the origin (0, 0), and its major axis is along the x-axis with a length of 4 units, while the minor axis is along the y-axis with a length of 2 units.

(ii) The

parametric equations

x = sec t and y = tan t represent a graph of a hyperbola. As t varies from -0.5 to 0.5, the values of x and y trace out the points on the hyperbola. The center of the hyperbola is at the origin (0, 0). The hyperbola has two branches that extend infinitely in opposite directions along the x-axis and y-axis.

(iii) The parametric equations x = 2t + 3 and y = t² - 1 represent a graph of a parabola. As t varies from -2 to 2, the values of x and y trace out the points on the parabola. The vertex of the parabola is at the point (3, -1), and it opens upwards. The parabola is symmetric with respect to the y-axis.

By graphing and analyzing the parametric equations over the given intervals, we can visualize and understand the shapes and characteristics of the corresponding curves.

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Answer:

do you go to palcs too?

Step-by-step explanation:

Answer: Mat h w ay

Step-by-step explanation: Use Ma th wa y and put what you want it for like a graph or solve for p and many more options and put it and it will tell you the answer and how to solve it.

I cant put the full name because it wont let me.

Answer:

The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Step-by-step explanation:

Let x be one leg of the right triangle.

Since the other leg is two centimeters longer, it can be represented by the expression:

\(x + 2 \text{ cm}\)

According to the Pythagorean Theorem, for a right triangle:

\(a^2 + b^2 = c^2\)

Where c is the hypotenuse and a and b are the two legs.

The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:

\((x)^2 + (x+2)^2 = 6^2\)

Solve for x. Simplify:

\(x^2 + (x^2 + 4x + 4) = 36\)

Simplify:

\(2x^2 + 4x + 4 = 36\)

Subtract:

\(2x^2 + 4x - 32 =0\)

Divide:

\(x^2 + 2x - 16 = 0\)

The equation is not factorable, so we can consider using the quadratic formula:

\(\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}\)

In this case, a = 1, b = 2, and c = -16. Substitute:

\(\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}\)

And evaluate:

\(\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}\)

Hence, our two solutions are:

\(\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1\)

Lengths cannot be negative, so we can ignore the second solution.

Hence, the value of x or the first side length is about 3.1 centimeters.

Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.

In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Answer:

To find the number of feet the pipe was lifted, divide the total work (72 foot-pounds) by the weight of the pipe (24 pounds). This gives you 3 feet, which is the answer to your question.

7.5-3.25=4.25 tons.

The truck weights 4.25 tons.

Check with other answers, although I'm pretty sure its correct.

Heart if helpful :D

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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The correct is d. Volume 90% no, because it is an obtuse triangle.

The triangular piece of fabric with side lengths of 1.2 feet, 2 feet, and 1.6 feet is an obtuse triangle because the square of the longest side (2 feet) is greater than the sum of the squares of the other two sides (1.2 feet and 1.6 feet). Therefore, the fabric cannot fit in the corner of a rectangular quilt because the corner is a right angle and the obtuse triangle cannot fit properly. It is important to consider the shape and size of the pieces when designing and constructing a quilt to ensure a proper fit.
The triangular piece of fabric has side lengths of 1.2 feet, 2 feet, and 1.6 feet. To determine if it will fit in the corner of a rectangular quilt, we need to check if it's a right triangle. Using the Pythagorean theorem (a² + b² = c²), where a and b are the shorter sides and c is the longest side, we can test this:
(1.2)² + (1.6)² = (2)²
1.44 + 2.56 = 4
4 = 4
Since the equation is true, the triangle is a right triangle. Therefore, the correct answer is option A: volume 90% yes, because it is a right triangle. This means the triangular piece of fabric will fit in the corner of a rectangular quilt.

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