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Rudik [331]
1 year ago
9

Dan is watching The Birds in his backyard. Of the birds he watches, 9. Of them,or 45%, are sparrows. How many birds are in his b

ackyard?
Mathematics
1 answer:
ra1l [238]1 year ago
5 0

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

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If we let the domain be all animals, and S(x) = "x is a spider", I(x) = " x is an insect", D(x) = "x is a dragonfly", L(x) = "x
Sonbull [250]

Answer:

The conditional statement "∀x, If x is an insect, then x has six legs" is derived from the statement "All insects have six legs" using "a. existential" generalization

Step-by-step explanation:

In predicate logic, existential generalization is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition. In first-order logic, it is often used as a rule for the existential quantifier in formal proofs.

4 0
2 years ago
A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
2 years ago
How much water is in an empty glass that is 10cm high and has a diameter of 5cm
Lilit [14]

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

4 0
2 years ago
Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
Novosadov [1.4K]
Just so u know, ur output value is f(x) and ur input value is x

f(x) = -2x^2 - 3x + 5....when ur input value(x) is -3

f(-3) = -2(-3^2) - 3(-3) + 5 =
f(-3) = -2(9) + 9 + 5
f(-3) = -18 + 14
f(-3) = -4 <==
4 0
1 year ago
Read 2 more answers
The growth of a species of fish in a lake can be modeled by the function ƒ(x) = 500(1.10)x, where x is time in months since Janu
Lyrx [107]

Answer:

f(x) = 500(1.1)^x

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

y= ab^x

Where a is the constant or the initial amount, b te base and x the independnet variable (time)

For this special  case we know that:

a = 500, b =1.1

And 500 represent the constant or initial value for the function

Step-by-step explanation:

We have the following function given:

f(x) = 500(1.1)^x

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

y= ab^x

Where a is the constant or the initial amount, b te base and x the independnet variable (time)

For this special  case we know that:

a = 500, b =1.1

And 500 represent the constant or initial value for the function

6 0
2 years ago
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