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2 years ago

9

Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. If g = 5, what are t

he dimensions of the school garden?

2 answers:

qwelly [4]2 years ago

8 0

$5^{2} + 14(5) + 40$
$25 +70 + 40$
135

$\frac{135}{15} =9$

15 feet by 9 feet

Mandarinka [93]2 years ago

7 0

(5x2)=10 (14x5)=70 40=40 10+70+40=120

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PLEASE HELP Select from the drop-down menus to correctly complete the sentence.The

Ahat [919]

Answer:

The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Step-by-step explanation:

The correct answer is - The probability of a event is a number between 0 and 1 or 1 and 10 or 1 and 100.

Reason -

Probability - It is a number between 0 and 1

Sample space - All the possible outcomes of an experiment.

Outcome - One of the individual results that can occur in an experiment.

Event: A subset of the sample space

Compound event : A event with more than one outcome.

4 0

2 years ago

Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral

MAVERICK [17]

Answer:

a. $\frac {2} {s-1}$ converges to s> 1.

b. $\frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $- \frac {2}{s + 3}$ converges to s> - 3.

d. $\frac {s}{s^2 + 25}$ converges to s> 0.

e. $\frac {10} {s^2 + 1}$ converges even s> 0.

f. $\frac {12}{s^2 + 4}$ converges to s> 0.

g. $-\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $\frac {1} {s ^ 2 + 4}$ converges to s> 0.

Step-by-step explanation:

a. $L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1}$ converges to s> 1.

b. $L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3}$ converges to s> - 3.

d. $L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25}$ converges to s> 0.

e. $L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1}$ converges even s> 0.

f. $L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4}$ converges to s> 0.

g. $L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4}$ converges to s> 0.

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3 years ago

What is the area of the composite figure? (6π + 10) m2 (10π + 10) m2 (12π + 10) m2 (16π + 10) m2

krek1111 [17]

The answer is the first choice

5 0

2 years ago

Read 2 more answers

Re-write the quadratic function below in Standard Form<br> y = -(x – 3)2 +8

lisov135 [29]

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0
Expanding by FOIL (First Inside Outside Last)
Combining like terms

Step-by-step explanation:

<u>Step 1: Define equation</u>

y = -(x - 3)² + 8

<u>Step 2: Rewrite</u>

Expand [FOIL]: y = -(x² - 6x + 9) + 8
Distribute -1: y = -x² + 6x - 9 + 8
Combine like terms: y = -x² + 6x - 1

4 0

2 years ago

Which expression is equivalent to the one below?<br> (26 x 96) = 1814

vfiekz [6]

Answer:

the answer is A.

Step-by-step explanation:

( $2^{6}$ × $9^{6}$ )÷ $18^{14}$

2×9= 18

6+6= 12

$18^{12}$ ÷ $18^{14}$

$18^{12-14}$ = $18^{-2}$

$1/18^{-2}$

3 0

2 years ago