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3 years ago

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Answer:

The Q³ of this data set is 9.5

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Consider the line 7x+9y=5

alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

m is the slope

b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

4 0

3 years ago

A mallard duck is 56 to 65 cm long if the duck travel 97.8 miles at top speed in 1.5 hours how far did it travel in 1 hour

ra1l [238]

Answer:

They traveled 2.71 in 1 hr

Step-by-step explanation:

97.8 divided by 1.5 then multiply that by 1hr

6 0

2 years ago

110% of 90 is what number a ?<br><br>? = 110 over 100<br>please help

densk [106]

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

(2a+b)^2÷(3b-1) when a= -2 and b=5

WINSTONCH [101]

Evaluate (2 a + b)^2/(3 b - 1) where a = -2 and b = 5:
(2 a + b)^2/(3 b - 1) = (5 - 2×2)^2/(3×5 - 1)

3×5 = 15:
(5 - 2×2)^2/(15 - 1)

| 1 | 5
- | | 1
| 1 | 4:
(5 - 2×2)^2/14

2 (-2) = -4:
(-4 + 5)^2/14

5 - 4 = 1:
1^2/14

1^2 = 1:

Answer: 1/14

6 0

3 years ago

Verify the identity. cot x / 1 + csc x = csc x - 1 / cot x

svetlana [45]

Step-by-step explanation:

cot x / (1 + csc x)

Multiply by conjugate:

cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)

Distribute the denominator:

cot x (1 − csc x) / (1 − csc²x)

Use Pythagorean identity:

cot x (1 − csc x) / (-cot²x)

Divide:

(csc x − 1) / cot x

5 0

3 years ago