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3 years ago

What fraction of a pound is seventy pence?

1 answer:

8 0

One British Pound is made up of 100 Pence. Therefore, 70 pence is 70/100 or 7/10. The British Pound is the national currency of the United Kingdom and is a major currency traded in foreign exchange markets around the world.

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Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not

liq [111]

I would say its 3/4 because there was only one blue and all together there is 4 now and the probability of picking a purple should be 3 out of 4.

4 0

3 years ago

-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0

3 years ago

Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6

IRISSAK [1]

Definitely product of powers

8 0

3 years ago

Read 2 more answers

Select the correct answer.

sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0

2 years ago

What number replaces the ◊?

Alika [10]

First lets simplify both side of this equation.
2 + 7 + ♢ = 3 + 6 + 5
Subtract 9 from both sides of the equation.
9 + ♢ = 14
Answer (C)
♢ = 5

8 0

3 years ago