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andrey2020 [161]

3 years ago

14

The vertices of Triangle ABC are Upper A (-4, 4), Upper B (-2, 3) and Upper C (- 3, 2). If Triangle ABC is reflected across the

line y= -2 to produce the image A'B'C', find the coordinates of the vertex B'.

1 answer:

k0ka [10]3 years ago

6 0

Answer: B’ ( -2, -7)

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Determine the decibel values of thermal noise power (N) and thermal noise power density (No) given the following: T=292 degrees

Agata [3.3K]

Answer: d. None of the above are correct.

Step-by-step explanation: Noise is a superfluous random alteration in an eletrical signal. There are different types of noises created by different devices and process. Thermal noise is one of them. It is unavoidable because is created by the agitation of the charge carriers, due to temperature, inside an eletrical conductor at equilibrium and is present in all eletrical circuits.

The formula to find the thermal noise power (N) is: N = $k_{b}$ .T.B, where:

$k_{b}$ is Boltzmann constant (1.38. $10^{-23}$ J/K);

T is temperature in Kelvin;

B is the bandwith;

Calculating the thermal noise power:

N = 1.38. $10^{-23}$ ·292·40

N = 16118.4. $10^{-23}$ dBm

The thermal noise power [N] = 16118.4. $10^{-23}$ dBm

Noise power density or simply Noise density (N₀) is the noise power per unit of bandwith and its SI is watts per hertz.

For thermal noise, N₀ = kT, where

<em>k </em>is the Boltzmann constant in J/K;

T is the receiver system noise temperature in K;

N₀ = 1.38. $10^{-23}$ . 292

N₀ = 402.96. $10^{-23}$ W/Hz

The thermal noise power density [N₀] = 402.96. $10^{-23}$ W/Hz

7 0

3 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: $(x^2 + x + 2)(x^2 - 2x + 3)$

By using distributive property: a(b+c+d)= ab+ac+ad

$(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6$

Maximum possible terms =9

Combine like terms

$x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6$

Hence, $\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6$

Degree of polynomial (highest degree) =4

Number of terms = 5

6 0

3 years ago

The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the

san4es73 [151]

Answer:

<em>(A) $18</em>

<em>(B) $y=2.50x+18$ </em>

<em>(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be: $(\$2.50*15)= \$37.50$

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be: $(\$55.50-\$37.50)= \$18$

(B)

If $x$ represents the number of ride tickets and $y$ represents the total cost, then the cost for $x$ number of ride tickets is $\$2.50x$

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: $y= 2.50x+18$

(C)

In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.

And the <u>constant term is 18, which represents the cost of admission to the fair</u>.

4 0

3 years ago

Find the volume of the cone whose base is shown and whose altitude is 8 meters.

Aloiza [94]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\stackrel{base~area}{\pi r^2}\cdot \cfrac{1}{3}\stackrel{height}{h}\\\\
-------------------------------\\\\
\textit{base of this cone}\\\\
B=\stackrel{a~square}{5\cdot 5}+\stackrel{semi-circle}{\frac{\pi r^2}{2}}\implies B=25+\frac{\pi 3^2}{2}\\\\\\ B=\stackrel{square}{25}+\stackrel{semi-circle}{\frac{9\pi }{2}}
\\\\\\
\textit{height of this cone is just 8}\\\\
-------------------------------\\\\$

$\bf \textit{volume of this cone}\\\\
V=B\cdot \cfrac{1}{3}h\implies V=\left( 25+\cfrac{9\pi }{2} \right)\left( \cfrac{8}{3} \right)
\\\\\\
V=\cfrac{200}{3}+\cfrac{3\pi\cdot 4 }{1}\implies V=\cfrac{200}{3}+12\pi$

7 0

4 years ago

GIVING 20 POINTS What is the product?

natta225 [31]

Answer:

1

Step-by-step explanation:

4^3 × 4^-3

Apply the law of exponents.

4^(3+-3)

4^(0)

Any base with the exponent of 0 is equal to 1.

= 1

5 0

3 years ago

Read 2 more answers