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Soloha48 [4]
3 years ago
15

I will randomly give the brainlest to the first person

Mathematics
2 answers:
irina [24]3 years ago
5 0
Thank you so much that is very sweet of you
ki77a [65]3 years ago
5 0

Answer:for what?

Step-by-step explanation:

You might be interested in
Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.
Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

9^x=11-4

Simplify:

9^x=7

The equivalent logarithmic form is:

\log_9(7)=x

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

\frac{\log(7)}{\log(9)}=x

So x \approx 0.8856

I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

\log_9(11)=x+4

Now we subtract 4 on both sides:

\log_9(11)-4=x

Again if you don't have the option for computing \log_b(a) in your calculator, you will have to use the change of base formula:

\frac{\log(11)}{\log(9)}-4=x

x \approx -2.909

6 0
3 years ago
In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a
Dmitry_Shevchenko [17]

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

6 0
3 years ago
There are 768 beds in a hospital, each floor has 64beds, how many floors are there
Alja [10]

Answer:

There are 12 floors in a hospital.

Step-by-step explanation:\

Each floor has 64 beds, but the hospital has totally 768 beds

So, \frac{768}{64} = 12 (floors)

4 0
3 years ago
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
OLEGan [10]

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

<em>x = 5y - 6 </em> This is just the first sentence written as an equation.

<em>x + y = 60</em> This is just the second sentence written as an equation.

<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to

<em>6y - 6 = 60</em> Collect like terms

<em>6y = 66</em> Add 6 to each side

<em>y = 11</em> Divide each side by 6

<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is

<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55

<em>x = 49</em> Subtract 6 from 55 to get 49

8 0
3 years ago
A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
3 years ago
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