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2 years ago

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In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale

nt to the numerical sentence, 2 × 4 = 8?
A^B x C^D = E^F

B = (1/3, 2, 3, 1/2)
C = (4, 1/2, 16, 1/4)
E = (4096, 64, 256, 1024)

2 answers:

barxatty [35]2 years ago

7 0

Answer:

b was 1/3 but the rest were correct!

Step-by-step explanation:

a_sh-v [17]2 years ago

3 0

B=3; C=16; and E=4096.

Using the information we have gives us

$8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}$

We know that:
$8^B = 2;
\\
\\C^{\frac{1}{2}}=4;
\\
\\E^{\frac{1}{4}}=8$

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.

You might be interested in

Y=74(1.01)^8 is it increasing or decreasing

Dvinal [7]

Answer:

Increasing

Step-by-step explanation:

The computation is given below:

Given that

y = 74 × (1.01)^8

= 74 × 1.082856706

= 80.1314

As it can be seen that the initial amount is 74 but after solving the given equation the value is increased as it shows 80.1314

Therefore it is increasing

5 0

3 years ago

I NEED HELP !!!!!!!!!!!!!!!!!!!!!

cricket20 [7]

you must substitute x in the equation given :)

examples:

when x is -2

therefore, y = 2(-2) + 3

y = -1

when x is 0

therefore, y = 2(0) + 3

y = 3

when x is 1

therefore, y = 2(1) + 3

y = 5

when x is 3

therefore, y = 2(3) + 3

y = 9

for (b) you only have to plot based on the table ;)

hope this helps

8 0

2 years ago

Select the correct answer.

Eva8 [605]

Answer:

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: $2.3y+2+3.1y=4.3y+1.6+1.1y+0.4$

This simplifies to

$5.4y+2=5.4y+2$

which has infinitely many solutions.

Equation B: $32x+25-21x=10x$

this simplifies to

$x+25=0$

$x=-25$

which is exactly one solution.

Equation C: $\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x$

this simplifies to

$\frac{5}{8} x+2.5=\frac{5}{8} +1.5$

$2.5=1.5$

There's no way this is going to be possible; this equation has no solutions.

Equation D: $\frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x$

this gives

$\frac{1}{3} =\frac{2}{7} y$

$y=\frac{7}{6}$

which is exactly one solution.

Thus we see that it is equation C that has no solutions.

3 0

3 years ago

Which are the solutions of x^2 = –11x + 4?

strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

$x^2 + 11x - 4 = 0$

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}$

where $x_{1,2}$ is a compact way to indicate both solutions $x_1$ and $x_2$ , while $a,b,c$ are the coefficients of the quadratic equation, i.e. we consider the polynomial $ax^2+bx+c$ .

So, in your case, we have $a=1,\ \ b=11,\ \ c=-4$

Plug those values into the formula to get

$x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}$

So, the two solutions are

$x_1 = \frac{-11+\sqrt{137}}{2}$

$x_2 = \frac{-11-\sqrt{137}}{2}$

3 0

3 years ago

Please help with this question!!

barxatty [35]

Answer:

-29/20

Step-by-step explanation:

The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).

csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20

6 0

3 years ago