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4 years ago

Simplify -4 1/4 - (-9 1/2)

Mathematics

2 answers:

Andreas93 [3]4 years ago

7 0

The answer is D) 5 1/4.

kiruha [24]4 years ago

3 0

Answer:

the answer is 5 1/4

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Which of the following values is the 75th percentile?

dmitriy555 [2]

C is the answer to you're question. :)

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3 years ago

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4. A sports car accelerates from rest to a final velocity of 64 m/s at a rate of 12.3

Ivanshal [37]

Answer:

$t = 5.2\ s$

Step-by-step explanation:

Given

$a= 12.3m/s^2$ --- acceleration

$v = 64m/s$ --- final velocity

$u =0m/s$ --- initial velocity (it is 0, because the car starts from rest)

Required

Determine the time taken

This will be solved using Newton's first equation of motion:

$v = u + at$

Substitute values for v, u and a

$64 = 0 + 12.3*t$

$64 = 12.3t$

$12.3t = 64$

Make t the subject

$t = \frac{64}{12.3}$

$t = 5.2\ s$

Hence, the time taken is approximately 5.2 seconds

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3 years ago

Parallelogram ABCD is a rectangle.

viktelen [127]

Answer:

$AC=BD$

$AB\perp BC$

Step-by-step explanation:

A parallelogram is a quadrilateral (4-sided polygon) that has two pairs of parallel sides.

In this sense, this figure shows a especial parallelogram called rectangle, since its four sides form right angles ( $90\°$ ).

Hence:

$AB\parallel DC$

$AD\parallel BC$

$AB=DC$

$AD=BC$

$AB\perp BC$

$AD\perp DC$

So, the correct choices among the given options are:

$AC=BD$

$AB\perp BC$

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3 years ago

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In an ordered pair, the y-coordinate tells you how far to move from the origin parallel to the______. X-axis/y-axis

erastova [34]

Answer:

y-axis

Step-by-step explanation:

The x-coordinate is the location of a point as measured along the x-axis. The y-coordinate is the location of a point as measured along the y-axis.

Another way to describe the y-coordinate is that it tells you how far to move from the origin parallel to the y-axis.

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2 years ago

Each sequence below gives an explicit formula. Write the first five terms of each sequence. Then, write a recursive

Bas_tet [7]

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

$\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.$

Step-by-step explanation:

Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

$a_{1} = 2(1) + 10 = 12\\ a_{2} = 2(2) + 10 = 14\\ a_{3} = 2(3) + 10 = 16\\ a_{4} = 2(4) + 10 = 18\\ a_{5} = 2(5) + 10 = 20$

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e $a_{1} = 12$ and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

$a_{1} = 12$

$a_{n} = a_{n-1} + 2$

The over all formula is as follow

$\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.$

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3 years ago