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velikii [3]
3 years ago
5

Which measurement is the best estimate for the length of a clothespin? 9 mm 9 cm 9 m 9 km?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
8 0

The answer would 9 cm. All of the given choices are wrong since the measurement maybe too big or too small. Like for 9 millimeter, it would be too small for a clothespin. While 9km is too big for a clothespin, there is no such thing as a 9km clothespin. While 9 m is also too big. The approximate size of a clothespin is 3 inches, when we convert it to cm, it will be 7 cm. So 9 cm is a best approximate.

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Question attached plz answer
Bezzdna [24]

Answer:

x = - 2.5

Step-by-step explanation:

Given that the sketch represents

y = x² + bx + c

The graph crosses the y- axis at (0 , - 14), thus c = - 14

y = x² + bx - 14

Given the graph crosses the x- axis at (2, 0), then

0 = 2² + 2b - 14

0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

b = 5

y = x² + 5x - 14 ← represents the graph

let y = 0 , then

x² + 5x - 14 = 0 ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

The x- intercepts are x = - 7 and x = 2

The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus

the x- coordinate of the turning point is \frac{-7+2}{2} = \frac{-5}{2} = - 2.5

8 0
3 years ago
The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters
Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, z \propto x , z \propto \frac{1}{y}

then the equation is in the form: z = k\frac{x}{y} where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e V \propto T , V \propto \frac{1}{P}

by definition of joint variation:

V = k\frac{T}{P}  .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

10 = k\frac{300}{1.5}

Simplify:

10 = 200k

Divide by 200 both sides we have;

k = \frac{10}{200} =\frac{1}{20}

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4

Therefore, the Volume of a gas is, 4 liters


5 0
3 years ago
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area? A parallelogram has a base of 3
dangina [55]

Answer:

for first parallelogram

Area of parallelogram = b*h= 3.5*2= 7square unit

for second parallelogram

Area of parallelogram = b*h = 1.8 square unit

or, 3*h = 1.8

h= o.6unit

For third parallelogram

Area of parallelogram = b*h = 20.4square unit

4*b= 20.4

b=5.1 unit

Step-by-step explanation:

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Answer:

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