3 years ago

Fill in the blanks in the list.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

1. shape
2.angles
3.sides

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A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc d

Serjik [45]

Answer:

mini disc diameter:disc diameter

14cm:21cm = 7:10.5 = 3.5:5.25 = 1:1.5

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3 years ago

Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial

Komok [63]

Answer:

In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pert.

Step-by-step explanation:

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2 years ago

Un cuadrado tiene de lado 5 cm, si se construye otro cuadrado semejante con una razón de semejanza de 0.6. ¿cuánto mide el lado

xz_007 [3.2K]

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Step-by-step explanation:

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3 years ago

Solve: 2x+3y=1<br> y=-2x+11

Sauron [17]

Answer:

(8, -5); x=8; y=-5

Step-by-step explanation:

i'll be solving via substitution

2x+3y=1; y=-2x+11

2x + 3(-2x +11) = 1

2x -6x +33 = 1

-4x = -32

x = 8

2(8) + 3y = 1

16 + 3y = 1

3y = -15

y = -5

(8, -5)

Check:

-5 = -2(8) + 11

-5 = -16 + 11

-5 = -5

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3 years ago

Find a formula for the inverse of the function. f(x) = e^6x − 9

STatiana [176]

Answer:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

Step-by-step explanation:

So we have the function:

$f(x)=e^{6x}-9$

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

$x=e^{6f^{-1}(x)}-9$

Add 9 to both sides:

$x+9=e^{6f^{-1}(x)}$

Take the natural log of both sides:

$\ln(x+9)=\ln(e^{6f^{-1}(x)})$

The right side cancels:

$\ln(x+9)=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

And we're done!

7 0

3 years ago