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scoundrel [369]
3 years ago
15

HELP PLZZZ!!!

Mathematics
2 answers:
Vitek1552 [10]3 years ago
6 0

Answer:

The length of the arc is the answer.

mafiozo [28]3 years ago
5 0
The length of the arc
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Solve for the variable 7/28 = 25/?
ICE Princess25 [194]
Let x be the unknown number. The equation is going to be 7/28=25/x, now we cross multiply. 7*x=25*28, 7x=700, divide both sides by 7 and you should get 100, So, x=100 and 7/28=25/100
7 0
3 years ago
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0
3 years ago
What is the constant of proportionality in this graph?
lana [24]

Answer:

one half or 1/2

Step-by-step explanation:

do your rise over your run on the graph.

7 0
3 years ago
You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to
Klio2033 [76]

Answer:

3 factors ; 18 total conditions

Step-by-step explanation:

The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.

For each factor variable, each has a number of different conditions ;

For smoking : 2 conditions (smoking and not smoking)

Drinking : 3 conditions (no alcohol, 1 / day ; several per day)

Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)

Total number of conditions :

(2 * 3 * 3) = 18 conditions

4 0
3 years ago
Car A is rated at 32 ​mi/gal (miles per​ gallon) for city driving and 29 ​mi/gal for highway driving. Car B is rated at 27 ​mi/g
Irina18 [472]

The gallons of gas that each vehicle would consume for the different amounts of driving are as follows:

a) For 300 mi of city driving plus 100 mi of highway driving, car A will consume <u>12.825 gallons</u> of gas, while car B will consume <u>14.05 gallons</u> of gas.

b) For 100 mi of city driving plus 300 mi of highway driving, car A will consume <u>13.475 gallons</u> of gas, while car B will consume <u>12.52 gallons</u> of gas.

<h3>Data and Calculations:</h3><h3>Rating (miles per gallon)</h3>

                                           City Driving     Highway Driving

Car A                                     32 mi/gal            29 mi/gal

Car B                                     27 mi/gal            34 mi/gal

<h3>Miles of Driving</h3>

                   City Driving     Highway Driving

a)                       300 mi              100 mi

b)                       100 mi              300 mi

<h3>Car A's Consumption of Gas:</h3>

                   City Driving               Highway Driving              Total

a)              9.375 gal.(300/32)         3.45 gal. (100/29)        12.825 gal.

b)              3.125 gal.(100/32)         10.35 gal    (300/29)     13.475 gal.

<h3>Car B's Consumption of Gas:</h3>

                   City Driving               Highway Driving             Total

a)                11.11 gal. (300/27)         2.94 gal. (100/34)         14.05 gal.

b)              3.70 gal. (100/27)          8.82 gal. (300/34)        12.52 gal.

Thus, different driving ratings (miles per gallon) show the differences in gas consumption by vehicles in city driving and highway driving.

Learn more about the consumption of gas for driving at brainly.com/question/13244789

#SPJ1

8 0
2 years ago
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