Write and solve an equation to find the value of x

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  [tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  [tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]

Of course, that repeated multiplication can be shown explicitly:

  [tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  [tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]

Answer:

4.10

Step-by-step explanation:

1.08 * 3.8 = 4.104

but money is 2dp so...

4.10

Answer:

I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone

Answer:

42miles per gallon

Step-by-step explanation:

since total gallons of fuel used is 11 gallons to travel 462miles,

per gallon will be 462/11 =42miles per gallon

Answer:

X=6!!

Step-by-step explanation:

x2+5=41. x2=36. ±62=36. x=6.

x=6!!!

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

Answer:

1) 2x - y = 26.

Step-by-step explanation:

Solution =  (18, 10)

2x - y = 26 fits the bill

as   2(18) - 10

= 36 - 10

= 26.

Answer:

0.6,66/100,666/1000,0.67

Answer:

Yes

Step-by-step explanation:

1+7+7+7+8=30

30/5= 6

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.

Data;

H_o = μ1 = μ2

H_o = μ1 ≠ μ2

This is a two-tailed test and population standard deviation will be used.

The z-stat is

[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]

The significance level is  α = 0.1 and the critical value for a two-tailed test is

[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.

Learn more on null hypothesis here;

https://brainly.com/question/15980493

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]

[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]

[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A. 1/2

Step-by-step explanation:

For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.

Therefore, the experimental probability of rolling a number less than 4 is 1/2.

Answer:

A, C, E

Step-by-step explanation:

[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]

A. 4^5 = 1024   Yes

B. 8^5    No

C. 4^5    Yes

D. [tex] 16^{\frac{2}{5}} [/tex]    No

E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex]   Yes

F. [tex] 16^{\frac{11}{2}} [/tex]   No

Answer:

I do not know it very well

Step-by-step explanation:

80

Answer:

  b. 60°

Step-by-step explanation:

The exterior angles of a convex polygon total 360°. When the polygon is a regular hexagon, there are 6 congruent exterior angles.

__

Each exterior angle has a measure of ...

  x° = 360°/6 = 60°

Answer:

Use the formula of Range Large-Small Data

I think it will help you.

Answer:

The Ratio is 8:16.

Step-by-step explanation:

Answer:

6 * 1.2 = 7.2

7 * 1.2 = 8.4

8 * 1.2 = 9.6

now find the Area and Perimeter of the enlarged triangle:

A = 1/2bh

A = 1/2 * 9.6 * 8.4

A = 40.32

P = a + b + c

P = 7.2 + 7.2 + 9.6

P = 24

So, the Area is 40.32 and the Perimeter is 24.

Answer:

0

Step-by-step explanation:

there are no lines os symmetry in this letter there are no straight lines that don't intersect

Answer:

0

Step-by-step explanation:

If you split it in half it is not a mirror image of itself..

Answer:

Step-by-step explanation:

the answer for 5(x – 4) = 2(x + 5)


is x=10

your welcome!

Answer:

x = 10

Step-by-step explanation:

5(x – 4) = 2(x + 5)               DISTRIBUTE

5x - 20 = 2x + 10                COMBINE LIKE TERMS

3x = 30                               ISOLATE X

x = 10                                  FINAL ANSWER

I hope this helps!

Answer: C

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7+7=14*

14*3.14=43.96

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717

Let that be x

Use the general formula used for calculating half-life

[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]

put values

The equation is

[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]

Answer:

15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.

Step-by-step explanation:

It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley

Hiked downhill = 25 meters

Hiked up = 40 meters

The given equation is

Here, hiked downhill represented by negative sign and hiked up resents by positive sign.

So, 15 represents that Jerry hiked up 15 meters from his starting position.

(2, the hill was 15 meters higher than the elevation of his starting point)

Answer:

2.

Step-by-step explanation:

The hill was -25 + 40 = 15 meters highe than starting point.

Answer:

Equation: y=mx+b

sorry for taking so long! :)

AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.

AB) The slope is 1 and the y intercept is 1.

So, y=x+1

BC) The slope is -6. The y intercept is harder to find. You can use this equation however;

y-y(1)=m(x-x(1)

y-5=-6(x-4)

y=-6x+29

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

Answer:

B. f(x) = 8*

Step-by-step explanation:

putting the value given in table

=> 512 = 8³

=> 512 = 512

=> 5,096 = 8⁴

=> 5,096 = 5,096

=> 32,768 = 8⁵

=> 32,768 = 32,768

so, it's B f(x) = 8*

Answer:

The answer is B) f(x)=8^x

Answer:

x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest

Step-by-step explanation: