Here are the scores that Jenna has

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for

skad [1K]

m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece

Solution:

Given that Harita must memorize 90 measures of music for her cello solo at a concert

To find: equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece

Let "m" be the number of measures Harita still needs to memorize

Let "d" be the number of days of practice since she began learning the piece

Given that She plans on memorizing 18 new measures for every 3 days of practice

Rate per day is given as:

$\frac{18}{3} = 6$

Therefore she memorises 6 per day

Therefore, the equation that relates 'm' to 'd' is:

m = total measures of music she must memorise - (number of measures she memorises per day x d)

m = 90 - 6(d)

m = 90 - 6d

Thus the required equation is found

7 0

3 years ago

Given the domain of the function, find the corresponding range. f(x) = 4x - 1 Domain: {3, 7, 11, 15}

Alinara [238K]

Answer:

Range : {11,27,43,59}

Step-by-step explanation:

Given:

f(x) = 4x - 1

Domain : {3,7,11,15}

f(3) = 4(3) -1 = 11

f(7) = 4(7) -1 = 27

f(11) = 4(11) -1 = 43

f(15) = 4(15) -1 = 59

hence Range : {11,27,43,59}

6 0

3 years ago

Help please I will give brainlist

Lubov Fominskaja [6]

Option (A) is correct

The sale this year be $400000 .

7 0

3 years ago

1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)

Soloha48 [4]

Answer:

a) The volume of the box is represented by $V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$ .

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box ( $V$ ), in cubic inches, is modelled by the equation for the cuboid:

$V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x$ (1)

Where $x$ is the side length of the cutted square corners, in inches.

$V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x$

$V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$

The volume of the box is represented by $V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}$ .

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

6 0

3 years ago

Write an expression that converts 50 liters per minute into milliliters per second

Mariulka [41]

So to convert from leiters per minute to milileters per second

lieters=L
milileters=ml
minute=M
second=S

L/M=liters pre minute
ml/s=milileters per second

so to convert, just conver them seperately first

L=1000ml
M=60S
therefor
conversion factor for M to S=
M times 60S/1M=minutes

conversion factor from L to ml=
L times 1000ml/L

so basically to convert, just multiply the equations gotether

L/M times 1000ml/L times M/60s (we flipped the M to S equation since M is on the bottom) =L/M times 1000/60=L/M times 100/6=L/M times 50/3

if you have 50 liters per minute than
50/1 times 50/3=2500/3=833.33333 ml per second

7 0

4 years ago