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Romashka-Z-Leto [24]
3 years ago
5

G(x)=3^x +1 and f(x)=3x+1 which values of x makes f(x) =g(x) true

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

3^{x} +1 = 3x+1\\3^{x} = 3x\\x = 1\\

When x = 1; 3 + 1 = 3 + 1; 4 = 4

fomenos3 years ago
5 0

Answer:

x=1

Step-by-step explanation:

3^x +1

f(x)=3x+1

f(x) =g(x)

3x +1 =3^x +1

Subtract 1 from each side

3x = 3^x

Let x =1

3*1 = 3^1

3=3

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Safe wheelchair ramp specifications require about 4.75° maximum angle to be constructed with the ground. At a particular buildin
NeTakaya

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance (y), measured in feet, and the angle of the wheelchair ramp (\theta), measured in sexagesimal degrees. The horizontal distance needed for the ramp (x), measured in feet, is estimated by the following trigonometrical expression:

x = \frac{y}{\tan \theta} (1)

If we know that y = 1\,ft and \theta = 3^{\circ}, then the horizontal distance covered by this ramp is:

x = \frac{1\,ft}{\tan 3^{\circ}}

x \approx 19.081\,ft

The ramp must cover a horizontal distance of approximately 19.081 feet.

4 0
3 years ago
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample
oksano4ka [1.4K]

Answer:

t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636      

Step-by-step explanation:

Data given and notation      

\bar X=55.82 represent the sample mean

s=0.77 represent the standard deviation for the sample      

n=49 sample size      

\mu_o =56 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:      

Null hypothesis:\mu \geq 56      

Alternative hypothesis:\mu < 56      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636      

4 0
3 years ago
PLS HELP ASAP
sleet_krkn [62]

As the scale drawing and the actual car are similar .

so,

height of bumper in drawing

height of bumper in actual car=height of the window in drawing/height of the window in actual car

6 in./16*12 in.=¾ in./height of the window in actual car

height of the window in actual car=¾*16*12/6 in.

=24 inch(Answer )

8 0
3 years ago
How fast does a driven gear turn if it has 25 teeth (t) and is driven by a10-tooth driver gear (T) at 250 RPM?
vazorg [7]

Given:

The number of teeth = t = 25

The gear is driven by a 10-tooth driver gear (T) at 250 RPM

Let the speed = s

So, using the ratio and proportion

\frac{25}{s}=\frac{10}{250}

Solve for s:

\begin{gathered} 10s=25\cdot250 \\  \\ s=\frac{25\cdot250}{10}=25\cdot25=625 \end{gathered}

So, the fear will be driven by 625 RP

3 0
1 year ago
test worth 70 points; test score of 90% write a proportion to find how many points a student needs to earn on the test to get th
GaryK [48]
70/70 = 100%
35/70 =50%
63/70=90%
6 0
3 years ago
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