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3 years ago

Slope 1 through (-4,7)

Mathematics

2 answers:

Alecsey [184]3 years ago

7 0

If the slope is 1 then u would find the coordinate (-4,7)and go up one and right one

vodka [1.7K]3 years ago

7 0

Answer:

y = x+11

Step-by-step explanation:

Point-slope form:

y-7 = 1(x+4)

y-7 = x+4

y = x+11

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A sample of radium has a weight of 1.5 mg and decays

Oliga [24]

Answer: $(b)$

Step-by-step explanation:

Given

Initial mass of radium is $A_o=1.5\ mg$

It decays by half every 6 years i.e. $T_{\frac{1}{2}}=6$

For radioactive decay, sample at any time is given by

$\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}$

Insert the values

$\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}$

Thus, option (b) is correct.

6 0

3 years ago

Express the ratio 7day to 6weeks as a decimal fraction<br>

Whitepunk [10]

Answer:

6 weeks=6*7 days=42days

7/42 =1/6 =0.16667

7 days=1 week

therefore 1/6=0.16667

Note that both must be in the same unit.

8 0

3 years ago

A car driving at 20m/s accelerates at 3m/s2 for 3s. What is its final velocity? How far will it travel during this time?

-BARSIC- [3]

Answers:

Final velocity = 29 m/s

Distance traveled = 73.5 meters

========================================================

Work Shown:

The given data is

$v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\$

This leads to

$v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\$

The final velocity is 29 m/s.

----------

We can use that final velocity to find the distance traveled.

$x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\$

The distance traveled is 73.5 meters.

----------

An alternative way to calculate the distance is to do this

$x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\$

Or you could do this

$x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\$

For more information, check out the Kinematics equations.

7 0

2 years ago

Gechina Galvez shopped at a department store during the end-of-summer sale All luggage was marked down 35 percent. She purchased

Nikitich [7]

Answer:

The total sale price that Gechina paid was $5,274.71.

Step-by-step explanation:

Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:

100 - 35 = 65

(8,000 + 74.95 + 39.99) x 0.65 = X

8,114.94 x 0.65 = X

5,274.71 = X

Therefore, the total sale price that Gechina paid was $5,274.71.

4 0

3 years ago

ANSWER ASAP

Brrunno [24]

I think is c...................................91034×4=364128

5 0

3 years ago

Read 2 more answers