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3 years ago

10

Write as an inequality y is less than 0 and greater than -6

1 answer:

navik [9.2K]3 years ago

3 0

Since Y is greater than -6 the symbol has to point away from the -6 and towards the y. And because Y is less than 0, the symbol has to point towards the zero and away from they. -6<y<0

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Victoria used 1 inch cubes to build the rectangular prism shown find the volume of the rectangular prism Victoria built

enyata [817]

Where is the rectangular prism?

3 0

2 years ago

What is equivalent to <img src="https://tex.z-dn.net/?f=%283%5E6%293" id="TexFormula1" title="(3^6)3" alt="(3^6)3" align="absmid

kherson [118]

For this case we must indicate an expression equivalent to:

$(3 ^ 6) ^ 3$

For properties of powers we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, the above expression can be rewritten as:

$(3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}$

Thus, the resulting expression is: $3^{ 18}$

Answer:

$3^{ 18}$

Option D

8 0

3 years ago

assume that the number of production defects is 28 and that 14 of these are classified as major defects, 8 are classified as des

Arlecino [84]

Answer: 5

Step-by-step explanation:

Let A denotes the number of major defects and B denotes the number of design defect.

By considering the given information, we have

$U=28\ ;\ n(A)=14\ ;\ n(B)=8\ \ ;\ n(A^c\cap B^c)=1$

Now, the number of major defects or design defects:

$n(A\cup B)=U-n(A^c\cap B^c)=28-11=17$

Also,

$n(A\cap B)=n(A)+n(B)-n(A\cup B)\\\\\Rightarrow\ n(A\cap B)=14+8-17=5$

Hence, the number of design defects were major=5

6 0

3 years ago

What is the other square root of 119 + 120i?

MakcuM [25]

Answer:

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

Step-by-step explanation:

Given

z = 119 + 120 i

Let $\sqrt{119+120 i}=p+iq$

Squaring both sides

$119+120 i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

$q=\frac{60}{p}$

Substitute q in 1

$119=p^2-(\frac{60}{p})^2$

$p^4-119p^2-(68)^2=0$

Let $x=p^2$

$x^2-119x-4624=0$

$x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}$

$x=\frac{119\pm 180.71}{2}$

we take only Positive value because $p^2=x$

x=149.85

$p^2=149.85$

thus $p=\pm 12.24$

$q=\pm 4.90$

thus,

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

8 0

2 years ago

If m=17 and b=6,find m

Mkey [24]

Answer:

M) = 17

Step-by-step explanation:

You stated the answer right there. I think the question is missing more info but for now M=17

8 0

2 years ago