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2 years ago

I'm having a hard time completing Task 2 of d. and e. Please answer them.

Mathematics

1 answer:

My name is Ann [436]2 years ago

8 0

Step-by-step explanation:

In part (d), we are shown how the sum of consecutive integers can be found. The sum is:

S = n (x + y) / 2

where n is the number of integers, x is the first integer, and y is the last integer.

We want to use this formula to find the sum of the numbers 101-110. We know there are 10 numbers between 101 and 110, so n = 10.

S = 10 (101 + 110) / 2

S = 1055

We used deductive reasoning to find the answer.

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The following data points represents how many tunnels Gary the groundhog dug each year. 18,5,13,9,6,2,10 using the data to creat

aleksandr82 [10.1K]

Answer:

The histogram for the data is attached below.

Step-by-step explanation:

The methods commonly used for depicting a frequency distribution are:

Histogram/Column graph
Bar graph
Frequency Polygon
Pie chart

Out of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.

The data provided for the number of tunnels Gary the groundhog dug each year is:

S = {18, 5, 13, 9, 6, 2, 10}

The histogram for the data is attached below.

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2 years ago

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light

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Answer:

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1 year ago

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

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2 years ago

If parallelogram RSTV has diagonals then RSTV must also be a _______. square and a rectangle rhombus and a rectangle rhombus rec

andrew11 [14]

<span>a rectangle rhombus(parallelogram) since even a parallelogram has diagonals</span>

5 0

2 years ago

6 people shared 4 subs equally how much each get

telo118 [61]

Answer:

2/3

Step-by-step explanation:

4 subs 6 people

4/6= 0.66 repeated

so each person got 2/3 sub

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2 years ago