the number of pieces in a jigsaw puzzle and the number of minutes required for a person to complete

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Here we go ~

According to graph, the value of p(x) = 8, when x = -2, as this point lies on the curve ~

Now, put the value of x in each of the choices provided to check if its equal to 8.

[tex]\qquad \sf  \dashrightarrow \: p( x) = (0.35) {}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = (0.35) {}^{ - 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = \dfrac{1}{(0.35 ){}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = \dfrac{1}{0.1225} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = 8.1632[/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) \approx 8[/tex]

Since the value satisfy the first equation, the correct choice will be (A)

Answer:

Step-by-step explanation:

percentages are usually out of 100.

so you are turning 1/5 to x out of 100.

we can do thismany ways; i will be doing a ratio.

1:5

to

x:100

we can see that 5 times 20 equals 100, therefore, 1 times 20 would equal x.

so 20/100 is equal to 1/5.

Answer:

percentages are .so you are turning 1/5 to x out of 100. we can do this many way; I will be doing a ratio. of 1:5tox:100we can see that 5 times 20 equals 100, therefore, 1 time 20 would equal x.so 20/100 is equal to 1/5.

By using the distributive property the sum "36 + 45" can be expressed as product and sum of 2 numbers as 9 × (4 + 5) .

The Distributive Property states that a × (b + c) = a×b + a×c, where a, b, and c are any real numbers.

Using this property, we can rewrite the sum 36 + 45 as:

⇒ 36 + 45 = 9 × 4 + 9 × 5

Factoring out the common factor of 9,

we get ;

⇒ 36 + 45 = 9 × (4 + 5) ;

Therefore,  the sum 36 + 45 as the product of a whole number (9) and a sum of two whole numbers (4 and 5) is 9×(4 + 5)  .

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The given question is incomplete , the complete question is

What is  36+45 by using the distributive property to rewrite the sum as the product of a whole number other than 1 and a sum of two whole numbers ?

Answer:

x = 72

Step-by-step explanation:

x : 4 = 54 : 3

express the ratios in fractional form

[tex]\frac{x}{4}[/tex] = [tex]\frac{54}{3}[/tex] = 18 ( multiply both sides by 4 to clear the fraction )

x = 4 × 18 = 72

Answer:

Step-by-step explanation:

are two rectangles, one has sides of 6 and 19 and one has sides of 9 and 7, we find the two areas with the formula A = L x W and add them, all as in the expression:

remember PEMDAS

6 × 19 + 9 × 7 =

114 + 63 =

177 mi²

The length of the segment NT is  4.5  units

What is isosceles triangle?

An isosceles triangle is one that has two sides of equal length.

The angles opposite to equal sides are equal.

Let RM=x, then  MS=RN=NT=x  ( because RS = RT )

RS=RT =2x

RST and RMN are two similar triangles

So, we have

ST/MN = RT/NT

=>  ST/3.5 = 2x/x

=> ST/3.5 = 2

=> ST = 2*3.5 = 7

Given , perimeter = 25

=> RS+ST+RT = 25

=> 2x+ST+ 2x = 25

=>  4x + 7 = 25

=> 4x= 25-7 = 18

=> x=18/4 = 4.5

NT=x= 4.5  units

The length of the segment NT is  4.5  units

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Option (D) is correct. The approximate arc length of one slice of pie is 5.24 inches.

Assuming that the pie is cut into equally sized slices, we can use the formula for the arc length of a circle sector:

Arc length = (angle/360) x 2πr

where r is the radius of the circle, and angle is the central angle of the sector in degrees.

Since the diameter of the pie is 10 inches, the radius is half of that, or 5 inches. To find the central angle of one slice of pie, we need to know how many slices the pie is cut into. Let's assume it's cut into 6 slices, which means each slice is a sector with a central angle of 60 degrees (360 degrees / 6 slices).

Now we can calculate the arc length of one slice:

Arc length = (60/360) x 2π(5) = π(5/3) ≈ 5.24 inches

Therefore, the answer is (D) 5.24 inches.

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The coordinates of Casper which lies exactly in the middle of Denton and Beacon are (-4, -1).

Coordinates are defined as the set of points in a coordinate plane or space, which describes the position of that point in that plane or space.

In a coordinate plane, the midpoint of two points (x₁, y₁) and (x₂, y₂) is the point (x, y) such that their measures are,

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

First, we can write the given measures.

Coordinates of Albion = (5, 5)

Coordinates of Denton = (-7, -3)

Given that, Beacon is lying exactly in the middle of Albion and Denton.

Let the coordinates of Beacon be (x, y).

Using the formula above,

x coordinate of Beacon = (5 + -7) / 2 = -1

y coordinate of Beacon = (5 + -3) / 2 = 1

Coordinates of Beacon are thus (-1, 1).

Casper is lying exactly in the middle of Denton(-7, -3) and Beacon (-1, 1).

Let (x' , y') be the coordinates of Casper.

Using the same formula,

x' = (-7 + -1) / 2 = -4

y' = (-3 + 1) / 2 = -1

Hence the coordinates of Casper are (-4, -1).

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Answer: 157.5

To find the volume of the smaller box, we use this equation:

Fitting the dimensions into the equation:

So, the volume of the smaller box is 262.5³.

If the height of the second box is %60 percent bigger, we can use this equation to figure out the new height.

10 × 1.6 = 16

Well, that's a good question! If we were to multiply by 0.6, the box would get smaller, instead of bigger. We add the 1.0 because we have to add the original height, not just the added height.

Now, the equation looks like this:

Now, the second boxes volume is 420³.

To find out the difference between the two volumes, we can subtract.

Therefore, the difference between the two volumes is 157.5.

The rays that are opposite are:

TX and TL

A ray is a line that points in one direction. It has one starting point and no end point.

It is important that we know the difference between a line and a ray.

A line has no endpoints or a starting point.

We have,

From the figure,

The rays are:

TS

TL

TV

TZ

All have a common starting point, T.

We see that,

TX and TS are perpendicular rays.

TS and TL are perpendicular rays.

TX and TL are opposite rays.

Now,

The rays that are opposite are:

TX and TL.

Thus,

TX and TL are opposite rays.

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