All categories

3 years ago

Help please ASAP!!!!!!!!!

Mathematics

1 answer:

Elden [556K]3 years ago

4 0

Answer:

b. -33

Step-by-step explanation:

The question is about finding the determinant of a 2×2 matrix

General formula; when given matrix A =[ b c ]

[ d e]

the determinant of A = (e×b)-(c×d)

Evaluate

(3 -3)

(-5 -6) = (-6×3) - ( -5×-3)

= (-18)- ( 15) = -33

You might be interested in

The probability of winning a new car is 1/500,000. What are the odds against winning the car?

BaLLatris [955]

The odds against winning the car is 500,000/1

4 0

2 years ago

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 3 oz of chips and drank 2 cups of soda for a t

Diano4ka-milaya [45]

Answer:

200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

Step-by-step explanation:

Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.

∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.

i.e. 3x + 2y = 700 --------(1),

Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.

i.e. x + 3y = 350 ---------(2),

Equation (1) - 3 × equation (2),

We get,

2y - 9y = 700 - 1050

-7y = -350

$\implies y = \frac{-350}{-7}= 50$

From equation (1),

3x + 2(50) = 700

3x + 100 = 700

3x = 700 - 100

3x = 600

$\implies x = \frac{600}{3}=200$

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

7 0

3 years ago

Three times a number plus 12 minus 5 times the same number is 22. What is the number?

Ilia_Sergeevich [38]

Answer:3

Explanation: 3x5=15+12=27-5=22

5 0

3 years ago

The period 7 (in seconds) of a pendulum is given by T = 2pi√( L divided by 32) where L stands for the length (in feet) of the pe

oksano4ka [1.4K]

Answer:

128 feet

Step-by-step explanation:

$t = 2\pi \sqrt{\frac{l}{32} }$

So now we will substitute the values of T and π into the equation.

$12.56 = 2 \times 3.14 \sqrt{ \frac{l}{32} }$

$12.56 = 6.28 \sqrt{ \frac{l}{32} }$

Divide both sides by 6.28

$2 = \sqrt{ \frac{l}{32} }$

Square both sides.

$4 = \frac{l}{32}$

Multiply both sides by 32

$l = 4 \times 32 \\ l = 128 \: feets$

5 0

1 year ago

The CBS’ television show 60 Minutes has been successful for many years. That show recently had a share of 20, which means that a

xxMikexx [17]

Given:
p = 20% = 0.2, sample proportion
n = 5000, sample size.
Confidence level = 95%

The confidence interval is
(p - 1.96k, p + 1.96k)
where
$k=\sqrt{ \frac{p(1-p)}{n} }=\sqrt{ \frac{0.2*0.8}{5000}} =0.00566$

Therefore the 95% confidence interval is
(0.1943, 0.2057) = (19.4%, 20.6%)

Answer: The 95% confidence interval is (19.4%, 20.6%)

6 0

3 years ago