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Rina8888 [55]
3 years ago
7

An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer

2304 feet per day

Step-by-step explanation:

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Intergrate secx(secx+tanx) dx
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\displaystyle\int\sec x(\sec x+\tan x)\,\mathrm dx=\int(\sec^2x+\sec x\tan x)\,\mathrm dx=\tan x+\sec x+C
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Please help !!<br> 12x + 14 = 6x + 7 (+) 9x - 5 find the value of x
Aloiza [94]

Answer:

x=4

Step-by-step explanation:

6 0
3 years ago
Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads
worty [1.4K]

She can buy maximum of 5 packages while staying within her budget.

Minimum spending limit = $50.

Maximum spending limit = $60.

Cost of one package of beads = $4.95.

Number of packages of beads bought = 5.

Cost of one package of charms = $6.55.

Let the number of packages of beads bought be x.

4.956 \times 5 + x \times 6.55 \geq 50

24.78+6.55x\geq 50

6.55x\geq 25.22

x\geq 3.85

4.956 \times 5 + x \times 6.55 \leq 60

24.78+6.55x\leq 60

6.55x\leq 35.22

x\leq 5.38

So, she can buy maximum of 5 packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults

7 0
2 years ago
Point D is the centroid of Triangle ABC. Find CD and CE.<br> DE = 9
sukhopar [10]

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

x=9

Now,

CD=2x

CD=2(9)

CD=18

And,

CE=CD+DE

CE=18+9

CE=27

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

6 0
3 years ago
The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
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