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3 years ago

12

A cargo elevator has a maximum carrying capacity of 400 pounds. If each cargo box weighs 25 pounds, what is the maximum number o

f cargo boxes that the elevator can hold?
Please Help!

1 answer:

daser333 [38]3 years ago

5 0

Answer:

16

Step-by-step explanation:

400÷25

=16

25×16

=400

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Which statement can be used to prove that a given parallelogram is a rectangle?

RSB [31]

The <em>correct answer</em> is:

The diagonals of the parallelogram are congruent.

Explanation:

In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.

Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.

The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.

The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

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a_sh-v [17]

I thinks is A or B if not I’m sorry

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3. Suppose the mystery bag had resulted in the following number of red chips. Using the simulated sampling distributions found e

Vinvika [58]

Answer:

a) 0.172

b) 0.167

c) 0.1404

Step-by-step explanation:

Margin of error, E = $2\times\sqrt{\frac{p(1-p)}{n}}$

here,

p = probability of the event

n = sample size

a) n = 30

p = 10 ÷ 30 = 0.333

Therefore,

E = $2\times\sqrt{\frac{0.333(1-0.333)}{30}}$

= 2 × 0.0861

= 0.172

b) n = 30

p = 21 ÷ 30 = 0.7

Therefore,

E = $2\times\sqrt{\frac{0.7(1-0.7)}{30}}$

= 2 × 0.0836

= 0.167

c) n = 30

p = 22 ÷ 50 = 0.44

Therefore,

E = $2\times\sqrt{\frac{0.44(1-0.44)}{50}}$

= 2 × 0.0702

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3 years ago

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

maxonik [38]

we have

$f(x)=-(x+8)(x-14)$

Convert to vertex form

$f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112$

we know that

the equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

$f(x)=-x^{2}+6x+112$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-112=-(x^{2}-6x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-112-9=-(x^{2}-6x+9)$

$f(x)-121=-(x^{2}-6x+9)$

Rewrite as perfect squares

$f(x)-121=-(x-3)^{2}$

$f(x)=-(x-3)^{2}+121$

the vertex is the point $(3,121)$

therefore

<u>the answer is </u>

The y-value of the vertex is $121$

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3 years ago

A) 15 - 4 X 6 + 30 - 5

saw5 [17]

Answer:

16

Step-by-step explanation:

15 – 24 +30 – 5

–9+25

= 16

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