what is the difference between the perimeter of the rectangle and the perimeter of the triangle?

\(a. \: 5.745 \times {10}^{2} < |58.6| < 5.745\)

This is your answer

Answer:

Graph attached.

Step-by-step explanation:

Given equation:

\(y=\dfrac{1}{3}x+5\)

The given equation is a linear equation in slope-intercept form, where 1/3 is the slope and 5 is the y-intercept.

To graph the equation, find and plot at least two points, then draw a straight line through them.

To find the points on the line, input values of x into the equation:

\(x = 0 \implies y=\dfrac{1}{3}(0)+5 \implies (0,5)\)

\(x=3 \implies y=\dfrac{1}{3}(3)+5 \implies (3,6)\)

\(x=6 \implies y=\dfrac{1}{3}(6)+5 \implies (6,7)\)

See attachment for the graph of the given equation.

Find some points

x=0

x=3

x=-3

Graph attached

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

You have the following function f(x):

When you translate a function f(x) in b units, the new function can be described as follow:

where b is a number, positive or negative. It is positive if the translation is upward, it is negative if the translation is downward. In this case you have that the translation is 2 units downward, then, you obtain for the new function g(x):

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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Answer:

x=25

Step-by-step explanation:

2(x+25)=100

2x+50=100

2x=50

x=25

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

The coordinates would be (2, -4)

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Answer:

9..........................................................

Step-by-step explanation:

Answer: yes 2,0193-029712123,

Step-by-step explanation:

The word problem can be:

"the temperature at the evening was -4°F, and some hours after the temperature dropped (here comes the difference/subtraction) another 10°F. What is the final temperature?"

Here we have the difference:

-4 - 10

So, we start at the value -4, and then we subtract 10 units to that.

An example of a word problem that can be modeled by that difference can be something like:

"the temperature at the evening was -4°F, and some hours after the temperature dropped (here comes the difference/subtraction) another 10°F. What is the final temperature?"

To get the final temperature we need to solve:

-4°F - 10°F = -14°F

Which is the final answer.

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The true statement is, The difference between the mean is about 2 times the mean absolute deviation of the data sets.

Mean absolute deviation (MAD) is defined as the average value of the absolute deviations from the mean.

Difference of the means is found by subtracting the two means.

Each mean is found by adding the data points and then dividing by the number of data sets.

The relationship between the difference of means and the MAD of two sets is,

The difference between the mean is about 2 times the mean absolute deviation of the data sets.

Hence the correct option is B.

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Answer:

.334 of a mile further

Step-by-step explanation:

i converted 3 1/4 and 2 11/12 to numbers instead of fraction and subtracted them from each other

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

The probability that the sum is greater than 12 is  \(\frac{2}{3}\).  The probability the product is 72 is \(\frac{1}{6}\).

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= \(\frac{4}{C^{2} _{4} }\)

= \(\frac{4}{6}\)

= \(\frac{2}{3}\)

The outcomes that the product is 72: 6 and 12

So the probability is

= \(\frac{1}{C^{2} _{4} }\)

= \(\frac{1}{6}\)

Hence, the probability that the sum is greater than 12 is  \(\frac{2}{3}\).  The probability the product is 72 is \(\frac{1}{6}\).

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Answer:

a) the treatment is to see if Vitamin C in high doses will help prevent catching colds .

b) you could have 150 people take the Vitamin C in high doses, and have 150 people not take the Vitamin C in high doses, and see if the Vitamin C does in fact help the prevention of catching a cold.

Step-by-step explanation:

ANSWER:

They have $1,100 altogether.

EXPLANATION:

- Originally, Mike had $500, while Joel had $600. That adds up to $1,100, and it makes Joel have $100 more than Mike.

- Half of Joel’s $600 is $300, which he gave to Mike. That makes Joel now have $300 himself.

- Adding $300 to Mike’s $500 is $800, which means Mike now has $800.

- $800 (Mike’s new amount) minus $300 (Joel’s new amount) is $500, which works because Mike now has $500 more than Joel.

-$300 + $800 is, of course, still $1,100.

The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

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Answer:

Todd FL to do do to FL forming

Answer:

-5/2

Step-by-step explanation:

Answer:

the answer is 1.0893×10 it is now in scientific notation

Answer:

1.0893 x 10^8

Step-by-step explanation:

you just use the number with highest place value as first and out every other number after the decimal or point and use x 10 to the power of however much place values you went back by (just count every spot in between the number I gave you and the number you gave me, it will be 8 I think)

Answer:

Use maths papa

Step-by-step explanation:

Answer:
J: (-4,5)
K: (-4,4)
L: (-5,4)
K: (-6,6)

Step-by-step explanation:

Answer:

a is a tangent to the circle

b is a radius

c is a diameter

d is a chord

Step-by-step explanation:

I hope this helps