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3 years ago

Using the Histogram below, how many trees are between 150 cm and 200 cm tall?

Mathematics

1 answer:

densk [106]3 years ago

8 0

Answer:

I am pretty sure the answer is 30 trees, if I am not mistaken. (I took the test and forgot the answer but pretty sure its 30)

Step-by-step explanation:

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

The length of a rectangle is 5 times the width. If the perimeter is to be greater than 36 meters. What are the possible values f

Lostsunrise [7]

Answer:

The width must be greater than 3 meters.

Step-by-step explanation:

Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...

P = 2w + 2(5w) = 12w

We want this to be greater than 36 m, so ...

P > 36 m

12w > 36 m . . . . . . . substitute our expression for P

w > 3 m . . . . . . . . . . divide by 12

The possible values for width are those values that are more than 3 meters.

3 0

2 years ago

Give to examples of units that can be used on a graph

lbvjy [14]

Metric: 

Distance: Centimeters (cm), Meters (m), Kilometers (km)

Weight: Milligrams (mg), Grams (g), Kilograms (kg)

Volume: Milliliters (mL), Liters (L)

Customary: 

Distance: Inches (in), Feet (ft), Yards (yd), Miles (mi)

Weight: Ounces (oz), Pounds (lbs), Tons (T)

Volume: Cups (c), Pints (pt), Quarts (qt), Gallons (gal)

3 0

3 years ago

What value of b makes the polynomial below a perfect square?

Mademuasel [1]

The best and most correct answer among the choices provided by your question is the second choice or letter B. 12

Substituting b = 12:

x^2 + 12x + 36 = (x + 6) ( X + 6) ; therefore, a perfect square.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

3 years ago

Read 2 more answers

5y - (21x + 7) Which is the correct description

belka [17]

Answer

-21x + 5y - 7

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Step-by-step explanation:

7 0

2 years ago