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ASHA 777 [7]
1 year ago
10

Evaluate each expression for the given value(s) of the variable(s) d to the power of -3 for d = -2

Mathematics
1 answer:
Step2247 [10]1 year ago
3 0

The expression is

\begin{gathered} d^{-3}\text{ for d = -2} \\ By\text{ substituting d = - 2 into the expression, it becomes} \\ (-2)^{-3} \\ \text{This can be written as } \\ \frac{1}{(-2)^3} \\ It\text{ becomes} \\ \frac{1}{-8} \end{gathered}

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Using symbols write the product of 18 and 7+5
Mashutka [201]
Eighteen times twelve is 216... if that's what you're asking...
5 0
4 years ago
5.28 A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sol
ahrayia [7]

Answer:

A) probability that at least x of them will require repairs is less than 0.5 is 4

Step-by-step explanation:

sample size, n = 20

p = success probability of toaster = 0.2

q = failure probability of toaster =1- p = 1- 0.2 =0.8

mean, , μ = n * p = 20 * 0.2 = 4

standard deviation, \sigma = \sqrt{npq} = \sqrt{(20 * 0.2 *0.8)} = 1.79

a) the probability that at least some of them require repairs < 0.5.

for p \geq 0.5 value of z = 0

we know z  =\frac{x -\mu}{\sigma}

0 = \frac{X -4}{1.79} from z table

X =  4

B)  SECOND PART IS INCOMPLETE { DATA IS INCOMPLETE}

5 0
3 years ago
(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28 (5 points) Write y
mihalych1998 [28]
Start by looking at simplifying the smaller problems 

anything to the power zero is 16^0 = 1

next apply the power of a power rule... multiply the powers 

(2^8\times 3^{-5} \times 1 )^{-2} = 2^{8\times -2}\times 3^{-5 \times -2}

which becomes 

2^{-16}\times 3^{10}

4 0
3 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
Translate the expression: 3 times the difference between 7 and<br> g is 90
Tcecarenko [31]

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

4 0
3 years ago
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