Please help ASAP, will mark as brainliest!

The length of the park not counting the path is 98 yards

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

From the information given, we have that;

The dimensions of the path having a width of 1 yard path around it are

(L+2) x (W+2)

We have to add 2 to the length and width because there will be a 1 yard path on all 4 sides of the rectangle

Given that the area is 4200 square yards; the original width is 40 yards

Now, substitute the values into the formula, we have;

Since Area = LW

4200 = (L+2)(W+2)

4200 = (L+2)(40+2)

Add the values

4200 = (L+2)(42)

expand the bracket

4200 = 42L + 84

collect like terms

4116 = 42L

Make 'L' the subject of formula

L = 98 yards

Hence, the length is 98 yards

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Answer:

98 yards

Step-by-step explanation:

Answer:[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex] is in the form [tex][x+p]^{2} +q[/tex]

Step-by-step explanation:

Here given is [tex]x^{2} -5x+3[/tex].................................eq [1]

now we know that  [tex][x-\frac{5}{2}] ^{2}[/tex]= [tex]x^{2} -5x+\frac{25}{4}[/tex]............eq [2]

now add and subtract [tex]\frac{25}{4}[/tex] in eq 1

 [tex]x^{2} -5x+3+\frac{25}{4} -\frac{25}{4}[/tex]

 [tex]x^{2} -5x+\frac{25}{4}+3-\frac{25}{4}[/tex]

  [tex][x-\frac{5}{2} ]^{2} +\frac{3*4-25}{4}[/tex]................................from eq[2]

  [tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex]

  so comparing with the given form [tex][x+p]^{2} +q[/tex]

   where p=[tex]\frac{5}{2\\}[/tex]  and   q=[tex]\frac{-12}{5}[/tex]

Answer: 8602 is the answer to 253 x 34, do you want the other parts solved too?

Step-by-step explanation:

Answer:  The answer is 5 shirts

Step-by-step explanation:

8x + 6 = 50

subtract 6 from each side:

8x +6 (-6) = 50 (-6)

8x=44

divide by 8:

8x/8=44/8

x=5.5

round to single shirts:

x=5 shirts

Answer:

Step-by-step explanation: you have to divide 50 by 8 then get your answer of 6.25, but you also have to consider two things; the extra $6.00 flat fee, and you cant buy 6.25 shirts, so what we do is multiply 8 times 6 to get 48, but we have to consider the extra $6.00, so you take away 8 which gives you 5 shirts, plus the shipping fee so in all he can buy 5 shirts.

Answer:

If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.

Answer:

x² + 4x - 12

Step-by-step explanation:

Roots: -6 and 2

Leading coefficient: x²

(x + 6)(x - 2)

x(x - 2) + 6(x - 2)

x² - 2x + 6x - 12

x² + 4x - 12

I hope this helps!

Answer: the slope=0

Step-by-step explanation:

[tex]\displaystyle\\(-6,4)\ \ \ \ \ (-15,4)\\\\\boxed {The\ slope=\frac{y_2-y_1}{x_2-y_1} }\\\\The\ slope=\frac{4-4}{-15-(-6)} \\The\ slope=\frac{0}{-15+6} \\\\The\ slope=0[/tex]

Mark has 35 unique combinations to choose from, so can he co go 5 weeks with this set of clothes

Number of pants in Mark's closet = 5

Number of shirts in Mark's closet = 7

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

He can choose amongst the pants in 5 ways, similarly, he can choose among the shirts in 7 ways

Total number of combinations = 5*7 = 35 unique combinations

So, if he wears one combination each day he can last 35 days or 5 weeks, without buying new clothes

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Answer:

13 sec

Step-by-step explanation:

Prius' acceleration

  60 mi/hr = 88 ft s

accel = change  in v / change in time =  88 f/s  / 10.3 s = 8.54 ft / s^2

F = ma     =    2903 * 8.54 = 24802  lb ft/s^2

Now increase the mass to 4903 by adding a 2000 lb trailer  (which, by the way is way past the towing capacity of an anemic Prius !)

    F = ma

   24802 = 4903 a    shows a = 5.06 ft/s^2

  45 mi/hr = 66 ft/s

      a = change in v / change in time

      5.06 = 66 / 5.06 = 13 sec

Answer:

To get the answer for X we have to subtract 16 from 4 which gives us 12

X=12

Hope this helps.

Answer:

4+X= 16

X=16-4

X=12

*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12

The probability of all XY in a group of four siblings is 1/16 (6.5%), and also the probability of all XX offspring is 1/16 (6.5%).

Let us first know how do chromosomes work?

Long DNA molecules called chromosomes contain all or a portion of an organism's genetic code. Males receive one X and one Y chromosome from each parent, whereas females receive two X chromosomes from each parent.

For females, the likelihood or probability of inheriting two X chromosomes is 1/2 (50%) while for men, the probaility of receiving one X chromosome and one Y chromosome is similarly 1/2.

Therefore, the probability that all XY siblings are present in a group of 4 siblings is:

[tex]1/2 * 1/2 * 1/2 * 1/2 = 1/16[/tex]

Also the probability that a family of four siblings or offspring includes all XX is

[tex]1/2 * 1/2 * 1/2 * 1/2 = 1/16[/tex]

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The probability of all XY in a group of four siblings is 1/16 (6.5%), and also the probability of all XX offspring is 1/16 (6.5%).

For females, the likelihood or probability of inheriting two X chromosomes is 1/2 (50%) while for men, the probability of receiving one X chromosome and one Y chromosome is similarly 1/2.

Therefore, the probability that all XY siblings are present in a group of 4 siblings is:

1/2*1/2*1/2*1/2=1/16

Also the probability that a family of four siblings or offspring includes all XX is

1/2*1/2*1/2*1/2=1/16

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Answer:

x = -1, y = -1

Step-by-step explanation:

[tex]4x + 3 = - 8x - 9[/tex]

[tex]12x + 3 = - 9[/tex]

[tex]12x = - 12[/tex]

[tex]x = - 1[/tex]

[tex]y = 4( - 1) + 3 = - 4 + 3 = - 1[/tex]

Since the scale utilized in the draw is 1 inch : 9 feet and the diving board is 2 inches, we need to multiply the 2 inches by the scale:

The actual diving board is 18ft long

The ordered pairs lie on the graph of the exponential equation is

Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be used for an exponential function.

According to its definition, a fundamental exponential function has the formula f(x) = [tex]b^x[/tex], where b is a constant and x is a variable. The exponential function f(x) = [tex]e^x[/tex], where "e" is "Euler's number," and e = 2.718, is one of the most well-known ones. An exponential function may incorporate a constant if we expand the potential of various exponential functions.

Given function:

f(x) = 25 [tex](2.2)^x[/tex]

Now, taking x=0

y = f(x) = 25

and, x=0.5

y= f(x) = 37.08

and, x = 1

y = 55  

and, x=2

y = 121

So, the ordered pairs lie on the graph of the exponential equation is

2. The given function is [tex]f(x)= (3/8)^x[/tex]

Now, as per the graph As x decreases without bound, the graph of f(x) approaches y = 1.

Or,  As x decreases without bound, the graph of f(x) increases without bound.

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 ∠O  ≅  ∠U is third statement which is congruent .

What is congruent triangle?

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                 NP ≅ TV

                ∠P  ≅  ∠V

                ∠O  ≅  ∠U

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Answer:

∠O  ≅  ∠U is third statement which is congruent .

Step-by-step explanation:

What is congruent triangle?

Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.

Congruent refers to having precisely the same form and size.

If all three sides of two triangles are the same, they are said to be congruent.

If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                NP ≅ TV

               ∠P  ≅  ∠V

               ∠O  ≅  ∠U

BRAINLIST??

Answer:

C.

Step-by-step explanation:

The solution to a system of equations is the point where the two lines intersect. In this case, the lines intersect at Point C.

Let,

Perform the operation (1)+(2),

Substitute the value of x=-2/5 in the expression (1).

Thus, the value of x is -2/5 and value of y is -96/25.

Answer:

5 inches

Step-by-step explanation:

Hello!

The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.

So, to find the edge, we can find the cube root of 125 to find that measure.

The edge is 5 inches.

Given the points A(3,4) and B(-1,10), we can find the distance between them using the following function:

then, we have the following:

The exponents are solved below\

What are exponents?

Exponentiation is a mathematical process denoted by the symbol bn that involves two integers, the base b and the exponent or power n, and is spoken as "b (raised) to the (power of) n." Exponentiation corresponds to repeated multiplication of the base when n is a positive integer: bn is the product of multiplying n bases. Typically, the exponent is displayed as a superscript to the right of the base. In such scenario, bn is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, more succinctly, "b to nth." In other words, when a base raised to one exponent is multiplied by the same base raised to another exponent, the exponents accumulate.

The exponents are solved as follows

(10⁻²)⁹ = 10⁻¹⁸ = 1/10¹⁸

10⁻³ - 10⁻⁸ = 1/10³ - 1/10⁸ = (10⁵ - 10⁸)/10⁸ = 9.9999x10⁻⁴

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Answer:

0.044444 = 11111/250000

Step-by-step explanation:

[tex]=\frac{44444}{1000000} =\frac{22222}{500000} =\frac{11111}{250000}[/tex]

Hope this helps

Answer: 2080

Step-by-step explanation:

62² −42²

3844−42²

3844−1764

2080

The pink ribbon is shortest.

Purple > yellow > silver > pink

11 miles he run per day, Monday-Friday.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total distance travelled = 60 miles.

On Saturday= 5 miles

Sunday was off

So, from Monday to Friday he travelled

=60 - 5

= 55 miles.

and, per day he run

= 55/5

= 11 miles

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Given: Pair of parallel lines and a transversal with angles x and y.

Required: To determine which type of angles are formed by x and y.

Explanation: Consider the following figure below showing a pair of parallel lines and a transversal

In the figure, line l is parallel to line m, and line n is the transversal.

Further alternate angles are the pair:

The angles lying inside the parallel lines are alternate interior, while the angles lying outside the parallel lines are the alternate exterior.

While the corresponding angles are the pair:

Finally, the consecutive interior angles are the pair of non-adjacent angles that lie on the same side of the transversal. In the figure above, the consecutive interior angles are:

Hence the given pair of angles x and y are consecutive interior angles.

Final Answer: Option D is correct.

Answer:

1.4522 x [tex]10^{3}[/tex]

These work out to 60,466,176 case insensitive combinations of letters.

There are 10 digits 0–9.

The are 26 letters in the modern alphabets.

However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.

There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.

You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.

Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.

So, there are either 36 (10 digits and 26 letters).

To find the number of combinations you multiply the number of possibilities for each character;

36 x 36 x 36 x 36 x 36

These work out to 60,466,176 case insensitive combinations of letters.

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