which expression is equivalent to the expression shown? exponent: 3 -3
a. -27 b.27 c. -1/27 d. 1/27

Answer:

The correct answer is (0,8)

Yes, 5 grams (5 g) is greater than 508 milligrams (508 mg).

To compare the two quantities, grams (g) and milligrams (mg),  

Make sure they are in the same unit.

Since 1 gram is equal to 1000 milligrams, we convert the given values into the same unit, which is milligrams (mg).

5 grams (5 g)

508 milligrams (508 mg)

To compare them, we need to convert 5 grams into milligrams:

5 grams × 1000 milligrams/1 gram = 5000 milligrams

Now, we have both quantities in milligrams:

5 g = 5000 mg

508 mg = 508 mg

Since 5000 mg is greater than 508 mg, we can conclude that 5 grams (5 g) is greater than 508 milligrams (508 mg).

Therefore, 5 grams is indeed greater than 508 milligrams.

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The Triangle Inequality Theorem dictates that the impossible distance from town A to town C, given the distances from A to B (5 miles) and B to C (4 miles), is (E) 10 miles because it exceeds the sum of the other two sides.

The question pertains to the Triangle Inequality Theorem, which in the context given, states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Here we have two sides measured as 5 miles (from town A to town B) and 4 miles (from town B to town C).

To identify which distance could not be from town A to town C, we recognize that the third side must be less than the sum of the other two sides (5 miles + 4 miles = 9 miles), but also greater than the absolute difference between those two sides (5 miles - 4 miles = 1 mile). Therefore, the only impossible distance for the third side, based on the options provided, is 10 miles, as it exceeds the sum of the other two sides.

Options A (1 mile), B (4 miles), C (8 miles), and D (9 miles) all satisfy the Triangle Inequality Theorem and could represent the distance from town A to town C. Hence, the answer is E (10 miles).

The number of pencils  she can  buy while staying in her price range is from 12 to 18 pencils

let x represent  the number of pencils she can buy .

First step is to calculate the Total cost

Total cost=2($3.25) + x($0.75)

Total cost=$6.50 + $0.75x

Second step is to write the inequality

Inequality=15 ≤ 6.50 + 0.75p ≤ 20

Third step is to substract $6.50

8.50 ≤ 0.75p ≤ 13.50

Fourth step is to divide each  by 0.75

8.50/0.75=11.33

13.50/0.75=18

11.33 ≤ x ≤ 18

Therefore   The number of pencils  she can  buy while staying in her price range is  from  12 to 18 pencils

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The temperature at 5000m is -15 degrees Celsius.

To determine the temperature outside an airplane that has climbed to an altitude of 5000m, we start with the initial ground temperature at the airport, which is 10 degrees Celsius. For every 1000m increase in altitude, the temperature drops by 5 degrees Celsius. We can calculate the temperature decrease over 5000m by multiplying the temperature change per 1000m (5 degrees) by the number of 1000m segments in 5000m (which is 5).

The calculation is as follows:

Temperature drop per 1000m = 5 degrees Celsius

Number of 1000m segments in 5000m = 5

Total temperature drop = 5 segments * 5 degrees/segment = 25 degrees Celsius

Temperature at 5000m = Ground temperature - Total temperature drop

Temperature at 5000m = 10 degrees Celsius - 25 degrees Celsius

Temperature at 5000m = -15 degrees Celsius

Therefore, the temperature outside an airplane that climbs to an altitude of 5000m is -15 degrees Celsius.

Taylor has 6 stickers, as Jessica's 48 stickers are 8 times Taylor's amount. Also, after certain actions, we can conclude that Jenny initially had 14 chocolates.

Jessica has 48 stickers, which is 8 times as many stickers as Taylor has. To find out how many stickers Taylor has, we need to divide the number of Jessica's stickers by 8:

Therefore, Taylor has 6 stickers.

In a similar problem, Jenny has some chocolates. After eating two chocolates and giving half of the remainder to Lisa, Lisa ends up with 6 chocolates. To determine the number of chocolates Jenny started with, we multiply the number Lisa received (6) by 2 and then add the 2 chocolates Jenny ate:

Hence, Jenny initially had 14 chocolates.

Final answer:

The radius of the world's largest pizza with a circumference of 215 feet, using an approximation for pi of 3.14, is approximately 34.2 feet when rounded to the nearest tenth.

Explanation:

To find the radius of the world's largest pizza given its circumference of 215 feet, we use the formula for the circumference of a circle: C = 2πr, where C is the circumference, π (pi) is approximately 3.14, and r is the radius. We rearrange this formula to solve for the radius: r = C / (2π).

Substituting the given values into this equation, we get:

r = 215 feet / (2 × 3.14)

r = 215 / 6.28

r = 34.2356688 feet

Rounding to the nearest tenth gives us:

r ≈ 34.2 feet

Answer:

associative property

Step-by-step explanation:

Answer:

B (-2, 3)

Step-by-step explanation:

Just took quiz

The coordinates of B before translated to B' are (-2,3).

Translation is a term used in geometry to describe a function that moves an object a certain distance.

In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

In translation, only the position of the object changes, its size remains the same.

For  the given situation,

Triangle ABC is translated to image A’B’C’.

In this translation, A(5, 1) maps to A’(6,-2).

In translation, the distance between A' and A in the coordinate system is same as B'B and C'C.

Let A(x_1,y_1) = (5,1) and A'(x_2,y_2) = (6,-2)

⇒ x_1 - x_2 = 5 -6

⇒ -1

⇒  y_1 - y_2 = 1- (-2)

⇒ 3

The coordinates of B’(-1,0)

So, the coordinates of B is

⇒ x= (-1 -1) = -2

⇒ y= (0 + 3) =3

Thus coordinates of B are (-2,3).

Hence we can conclude that the coordinates of B before translation are (-2,3).

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Question

Triangle ABC is translated to image A’B’C’. In this translation, A(5, 1) maps to A’(6,-2). The coordinates of B’(-1,0). What are the coordinates of B

The value of 'x' in the solution to the following system of equations is -1 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the value of x:

Step 1 - The arithmetic operations can be used in order to determine the value of 'x'.

Step 2 - Write the given system of equations.

x - y = -3   --- (1)

x + 3y = 5  --- (2)

Step 3 - Simplify the equation (1).

x = y - 3  --- (3)

Step 4 - Substitute the value of 'x' in equation (2).

y - 3 + 3y = 5

4y = 8

y = 2

Step 5 - Substitute the value of 'y' in equation (3).

x = 2 - 3

x = -1

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Answer: Tom

Step-by-step explanation:

time = distance / speed

Samma : 200/25.98 = 7.70 meters per second

Tom : 100 / 12.54 = 7.97 meters per second

so the faster runner is Tom

Answer:

its 2/5 i took the test

Step-by-step explanation:

slopes of two parallel lines are equal

from the equation y=3x-1, slope =3

using slope m=3 and point (-1,3) , we find the y intercept

y=mx+b

3=3(-1) +b

b=6

plugging m=3 and b=6 in slope intercept form to get the equation

y=3x+6

The word "harvested" is used figuratively in paragraph 10 to convey the idea of gathering or collecting something. The author likely chose this word to create a vivid image in the reader's mind.

The word "harvested" is used figuratively in paragraph 10 because it is not referring to the actual act of harvesting crops, but instead is used metaphorically to describe the gathering or collection of something. The author likely chose this word to create a vivid image in the reader's mind and to convey the idea of gathering or collecting in a meaningful way. This use of figurative language adds depth and richness to the text.

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-12/3*(-8+-4^2-6)+2

-4^2 = 16

-12/3*(-8+16-6)+2

-8+16-6 = 2

-12/3*(2) +2

-12/3 * 2 =-8

-8 +2  = -6

The value of the given expression -12/3×[-8+(-4)²-6]+2 will be -6.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression  -12/3×[-8+(-4)²-6]+2

By division and opening square root

⇒ -4×[-8+ 16 -6]+2

By addition

⇒ -4×[ -8 + 10]+2

⇒ -4× 2 + 2

⇒ -8 + 2

⇒ -6

Hence "The value of the given expression -12/3×[-8+(-4)²-6]+2 will be -6".

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160 miles.

10:40-11:40 is 60 min., which is 60 miles

11:40-12:40 is 60 min., which is also 60 miles

12:40-1:00 is 20 min. = 20 miles

1:00-1:20 is 20 min. = 20 miles

60+60+20+20 = 160 miles

Answer:

The answer is 160.2 miles.

Step-by-step explanation:

In order to determine the distance, we have to know the total time that train traveled. We know that the train leaves at 10:40 a.m. and arrives at 1:20 p.m.

So,

10:40 a.m. to 11:00 a.m.=20 minutes

11:00 a.m. to 1:00 p.m.=120 minutes

1:00 p.m. to 1:20 p.m.=20 minutes

Then, the total time is 20+120+20=160 minutes. Also we have to know that the speed is the rate of distance per time. The units are miles per hours, thus 160 min=2.67 hours.

S=speed of the train.

D=distance of the train.

T=total time of the train.

[tex]S=\frac{D}{T}\\60=\frac{D}{2.67}\\D=60*2.67\\D=160.2[/tex]

Finally, the distance between the stations is 160.2 miles.