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1 year ago

1.Given the function h(t) = t³ - 2t, find h(-5).

Mathematics

1 answer:

Svetllana [295]1 year ago

7 0

Answer:

-65

Step-by-step explanation:

h(t) = (-5)^3 -2(-5)

h(t) = -75 +10

h(t) = -65

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The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and

insens350 [35]

Answer:

Step-by-step explanation:

Formula

A = L * W

Givens

W = W

L = W + 2

Solution

Area = L*W

Area = (W+2)*W = 80 Remove the brackets.

Area = W^2 + 2W = 80 Subtract 80 from both sides.

Area = w^2+2W-80=80-80 Combine

Area = w^2 +2W-80 = 0 Factor.

Area = (w+10)(w - 8) = 0

W + 10 = 0 won't work

W = - 10 which isn't possible

W- 8 = 0

W = 8

L = 8 + 2 = 10

The answer looks like A

8 0

2 years ago

Consider a uniform distribution from aequals4 to bequals29. (a) Find the probability that x lies between 7 and 27. (b) Find th

weeeeeb [17]

Answer:

a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

$P(c \leq x \leq d) = \frac{d - c}{b - a}$

Uniform distribution from a = 4 to b = 29

(a) Find the probability that x lies between 7 and 27.

So $c = 7, d = 27$

$P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8$

80% probability that x lies between 7 and 27.

(b) Find the probability that x lies between 6 and 13. 

So $c = 6, d = 13$

$P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28$

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

So $c = 9, d = 20$

$P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44$

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So $c = 11, d = 18$

$P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28$

28% probability that x lies between 11 and 18.

3 0

2 years ago

Find Domain of function using Interval Notation

tensa zangetsu [6.8K]

[ - 4 , 4 ) ∪ ( 4 , ∞ )

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )

There is a zero when the numerator equals zero.

x + 4 = 0 ⇒ x = - 4 ( is a zero )

domain is [-4 , 4 ) ∪ ( 4 , ∞ )

6 0

3 years ago

Bonnie deposits $70.00 into a new savings account. The account earns 45 % simple interest per year , s added or removed from the

nordsb [41]

Answer:

$\$164.5$

Step-by-step explanation:

Bonnie deposits $70.00 into a new savings account.

The account earns 45% simple interest per year.

She neither added or removed from the savings account for 3 years.

We know that,

$i=\dfrac{P\cdot r\cdot r}{100}$

here,

i = interest,

P = principal = $70,

r = rate of interest = 45%,

t = time = 3 years,

Putting the values,

$i=\dfrac{70\cdot 45\cdot 3}{100}=\$94.5$

So the total amount will be,

$=\text{Principal}+\text{Interest}$

$=70+94.5$

$=\$164.5$

6 0

3 years ago

Read 2 more answers

PLEASE HELP! REWARDING A LOT :)

vaieri [72.5K]

Answer:

(x - 6)(x - 11)

Step-by-step explanation:

x² - 17x + 66

-11 and -6

x² -11x - 6x + 66

x(x -11) - 6(x -11)

(x - 6) (x - 11)

(x = 6 or x = 11) These are the possibilities of x

4 0

2 years ago

Read 2 more answers

1.Given the function h(t) = t³ - 2t, find h(-5).​

1.Given the function h(t) = t³ - 2t, find h(-5).