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Orlov [11]
3 years ago
7

Is 4 m < > or equal to 400 dm

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
4m is less than 400 decimeters
lys-0071 [83]3 years ago
4 0
It is less than
4 meters equal 40 decimeters
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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
Oksana_A [137]

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where x represents days and y represents bees.

The exponential function that models this problem must be like

y=a(1-r)^{x}, which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that a=10,000, because it starts with 10,000 bees.

Let's use the points (10, 7500)

y=a(1-r)^{x}\\7500=10000(1-r)^{10}

Solving for r, we have

\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75

Using logarithms, we have

ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97

Replacing all values in the model, we have

y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0
2 years ago
Read 2 more answers
Given the similar triangles, find the value of X.
3241004551 [841]

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

3 0
2 years ago
Solve using system of equations algebraically<br> y=2x-3 <br> x+y=18
Hitman42 [59]

Answer:

<em>(7, 11)</em>

Step-by-step explanation:

y = 2x - 3 .... (1)

x + y = 18 .... (2)

(1) ----> (2)

x + 2x - 3 = 18 ⇒ <u><em>x = 7</em></u>

y = 2(7) - 3 ⇒ <u><em>y = 11</em></u>

<em>(7, 11)</em>

6 0
3 years ago
What is the value of f?
laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 8x - 6

f(1/2) is x = 1/2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(1/2) = 8(1/2) - 6
  2. Multiply:                               f(1/2) = 4 - 6
  3. Subtract:                              f(1/2) = -2
5 0
3 years ago
Use an inequality to describe the interval of real numbers <br><br>(-3,8]
Naya [18.7K]
38 i think it means infinite
8 0
3 years ago
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