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3 years ago

11

Yolanda is preparing a liquid fertilizer that she will use on her lawn. she mixes 4 tablespoons of liquid fertilzer with 6 gallo

ns of water. using this ratio, how many gallons of water should be mixed with each tablespoon of liquid fertilizer?
A. 1.5 gallons
B. 2.0 gallons
C. 4.6 gallons
D. 5.0 gallons
E. 6.6 gallons

1 answer:

pishuonlain [190]3 years ago

8 0

Answer:

D 5.0 gallons

Step-by-step explanation:

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Need help will mark brainliest thank you

miskamm [114]

Answer:

A is 3/1, B is 242/1 C is 36/1 D is 101/1

Step-by-step explanation:

6 0

3 years ago

write two linear functions, f(x) and g(x). For example, f(x)= 3x-7 and g(x)= -2x+5. Then see whether f(x) - (-g(x)) is equivalen

sweet [91]

Answer:

the two expressions are equivalent.

Step-by-step explanation:

We know that f(x)= 3x-7 and g(x)= -2x+5, therefore:

f(x) - (-g(x)) = 3x-7 - ( +2x-5) = 3x - 7 - 2x + 5 = x -2

f(x) + g(x) = 3x-7 -2x + 5 = x - 2

Therefore, f(x) - (-g(x)) is equivalent to f(x) + g(x).

Another way to check that the two expressions are equivalent is by solving the parenthesis:

f(x) - (-g(x)) → f(x) + g(x)

Therefore, the two expressions are equivalent.

8 0

4 years ago

Hi. I need help with these questions (see image)<br>Please show workings.<br>

pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

$\frac{dy}{dx}$ = f'(g(x)) × g'(x) ← chain rule

and the standard derivatives

$\frac{d}{dx}$ ( $log_{a}$ x ) = $\frac{1}{xlna}$ , $\frac{d}{dx}$ (lnx) = $\frac{1}{x}$

(a)

Given

y = $log_{a}$ $\sqrt{(1+x)}$

$\frac{dy}{dx}$ = $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{d}{dx}$ ( $(1+x)^{\frac{1}{2} }$

= $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{1}{2}$ $(1+x)^{-\frac{1}{2} }$ × $\frac{d}{dx}$ (1 + x)

= $\frac{1}{lna\sqrt{(1+x)} }$ × $\frac{1}{2\sqrt{(1+x)} }$ × 1

= $\frac{1}{2lna(1+x)}$

= $\frac{1}{(1+x)lna^2}$

(b)

Given

y = ln sinx

$\frac{dy}{dx}$ = $\frac{1}{sinx}$ × $\frac{d}{dx}$ (sinx)

= $\frac{1}{sinx}$ × cosx

= $\frac{cosx}{sinx}$

= cotx

5 0

3 years ago

Isabelle, who is 62 inches tall, is standing beside a tree and casts a 93 inch shadow on the ground. The shadow of the tree she

Illusion [34]

Given:

Height of Isabelle = 62 inches

Shadow of Isabelle = 93 inches

Shadow of tree = 279 inches

To find:

The height of the tree.

Solution:

Let height of tree be x.

Ratio of height to shadow for Isabelle and tree are

$\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}$

$\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}$

The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.

$\dfrac{x}{279}=\dfrac{62}{93}$

Multiply both sides by 279.

$x=\dfrac{62}{93}\times 279$

$x=62\times 3$

$x=186$

Therefore, the height of tree is 186 inches.

8 0

4 years ago

In order to join a dancing club there is a $30 startup fee and a $4 monthly fee. write an equation in slope-intercept form that

kvv77 [185]

Y=M(x)+B
Y=4+30
4 is your slope; Y-intercept is 30

6 0

4 years ago