All categories

3 years ago

Solve the exponential equation: 4x – 2 = 2x

Mathematics

1 answer:

Tems11 [23]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

You might be interested in

Help me please help help help help

sineoko [7]

Answer:

Step-by-step explanation:

it is the same angle from one side and theother

3 0

2 years ago

Read 2 more answers

Please help taking a test and can’t figure it out!!!

guajiro [1.7K]

I’m pretty sure the answer would be A

3 0

3 years ago

If 3 is added to a number and multiplied the result by 5 gives 55 what is the number

MakcuM [25]

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

6 0

3 years ago

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

$H_o: \mu = 7.1$

The alternative hypothesis:

$H_a: \mu > 7.1$

This test is right-tailed.

$degree \ of \ freedom= n - 1 \\ \\ degree \ of \ freedom = 24 - 1 \\ \\ degree \ of \ freedom = 23$

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test $t_c = 2.069$

The test statistics can be computed as:

$t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}$

$t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}$

$t = \dfrac{0.2}{0.204}$

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < $t_c = 2.069$ , then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0

3 years ago

The sum of the ages of Rudy and his father is 58 years. The difference in their ages is 32 years. How old is each ?

Anestetic [448]

Answer:

Rudy is 13 years old. Her father is 45 years old.

Step-by-step explanation:

It's very simple actually!

All you need to do is subtract 32:

58 - 32 = 26

Then divide:

26 ÷ 2 = 13

13 is Rudy's age. Let's find her father's age!

We then add 32 back to 13:

32 + 13 = 45

And there you have it!

Hope this helped! :)

7 0

2 years ago