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3 years ago

If mastering something takes 10,000 hours, if I practice drawing 3 hours a day. How many days will it take me to master drawing?

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

Answer: It will take 3,333 days.

Step-by-step explanation:

In order to complete this you must divide the total number of hours by the hours practiced each day.

10,000/3

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F(x)=e^x and g(x) = x+6. What are the domain and range of (gºf)(x)?

Annette [7]

Domain: all real numbers
range: y>6

3 0

3 years ago

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).

borishaifa [10]

Answer:

Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

length of AB = √[(12-4)² + (8-8)²] = 8

length of AC = √[(12-4)² + (8-14)²] = 10

length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

length of MN = √[(4-4)² + (16-8)²] = 8

length of MO = √[(4+2)² + (16-8)²] = 10

length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

AB ≅ MN

AC ≅ MO

CB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

3 0

3 years ago

The sum of 3 times a number and 7

leva [86]

Algebraically, that will be expressed as:

$3n +7$

7 0

3 years ago

Sonji has $5.25 in nickels and dimes. The coin value can be modeled by the equation 0.100 +0.05n=5.25, where d represents

rewona [7]

Answer:

c.63

will be your answer

Step-by-step explanation:

7 0

3 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

So: Tonya's had the greater initial trade-in value

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

3 years ago