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Arada [10]
3 years ago
15

Solve for x. 2/3 ( 1/2x + 12) = 1/2 (1/3x + 14) - 3

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

x = -24

Step-by-step explanation:

i hope this helps :)

Law Incorporation [45]3 years ago
5 0

Answer:A

Step-by-step explanation:

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Giving 30 points pls answer correctly
Mademuasel [1]

Answer:

B. 20.41

Step-by-step explanation:

I hope this helps! pls brainliest:D

5 0
2 years ago
100 POINTS, WILL MARK BRAINLIEST! If h(x) = f[f(x)] use the table of values for f and f ′ to find the value of h ′(1).
victus00 [196]

Answer:

The value of h^\prime(1)=5

Step-by-step explanation:

Given that  h(x)=f(f(x))

now to find h(x)=f(f(x)) from the given functions f(x) and f'x

let h(x)=f(f(x))

Then put x=1 in above function we get

h(1)=f(f(1))

=f(3) (from the table f(1)=3 and f(3)=6)

Therefore h(1)=6

Now to find h'(1)

Let

h^{\prime}(x)=f^{\prime}(f^\prime(x)) (since  h(x)=f(f(x)) )

put x=1 in above function we get

h^{\prime}(1)=f^{\prime}(f^\prime(1))

=f^{\prime}(2)    (From the table f^\prime(1)=2 and f^\prime(2)=5)

h^{\prime}(1)=5

Therefore h^{\prime}(1)=5

4 0
3 years ago
Read 2 more answers
Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12
Dima020 [189]

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

4 0
3 years ago
Calculate the value of (6.72 10^5)+ (3.2 x 10^4)<br> Give your answer in standard form.
dangina [55]

Answer:

7.04\cdot 10^{5} <em>or 704,000</em>

Step-by-step explanation:

<u>Standard Form of Numbers</u>

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

6.72\cdot 10^{5}+3.2\cdot 10^{4}

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}

Now we add:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by 10^5=100,000:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000

7 0
3 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig
Vladimir [108]

Answer:

The equation is given by:

D(t) = 80 + 9\sin{0.2618t}

Step-by-step explanation:

Sine function:

Has the following format:

y = A\sin{bx}

In which A is the amplitude and \frac{2\pi}{b} is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that A = 9

During a 24-hour day, which means that the period is 24. So

\frac{2\pi}{b} = 24

24b = 2\pi

b = \frac{2\pi}{24}

b = 0.2618

So the variation is:

V(t) = 9\sin{0.2618t}

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}

8 0
3 years ago
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