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sergeinik [125]

2 years ago

10

Sweet t will feed the cat 4 ounces of food each day for 10 days. What is the smallest bag that has enough food for grammy emma's

cat?

2 answers:

viktelen [127]2 years ago

7 0

Answer:

a 40 ounce bag

Step-by-step explanation:

LenKa [72]2 years ago

4 0

Answer: Its the 3.2 pounds.

Step-by-step explanation:

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Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

$P = P_{0} e^{kt}$ <em>need to solve for P₀</em>

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 <em>log rules say division is subtraction</em>

0 = ln 1

5 0

2 years ago

Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).

spin [16.1K]

Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0

2 years ago

Amanda needs to make a garden plot which has an area less than 18 sq. feet. The length should be 3 feet longer than the width. W

SCORPION-xisa [38]

Answer:

<em>Any width less than 3 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:

A = L.W

The first condition can be written as follows:

LW < 18

The length should be 3 feet longer than the width, thus:

L = W + 3

Substituting in the inequality:

(W + 3)W < 18

Operating and rearranging:

$W^2 + 3W - 18 < 0$

Factoring:

(W-3)(W+6)<0

Since W must be positive, the only restriction comes from:

W - 3 < 0

Or, equivalently:

W < 3

Since:

L = W + 3

W = L - 3

This means:

L - 3 < 3

L < 6

The width should be less than 3 feet and therefore the length will be less than 6 feet.

If the measures are whole numbers, the possible dimensions of the garden plot are:

W = 1 ft, L = 4 ft

W = 2 ft, L = 5 ft

Another solution would be (for non-integer numbers):

W = 2.5 ft, L = 5.5 ft

There are infinitely many possible combinations for W and L as real numbers.

6 0

2 years ago

Simplify <br> -3·-8 <br><br><br> hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

shtirl [24]

Answer:

24

Step-by-step explanation:

A negative integer times a negative integer is the same as a positive integer times a positive integer, so this would be the same as (8)(3) which is 24.

4 0

3 years ago

Be<br> Solve for<br> 8x +32 = 1/5(25x – 15) - 4x<br> Enter your answer in the box<br> x=

Temka [501]

Answer: x=−5

Step-by-step explanation:

8x+32=5x−3−4x

8x+32=x−3

8x+32−x=−3

7x+32=−3

7x=−3−32

7x=−35

x=- 35/7

x=−5

7 0

1 year ago

Read 2 more answers