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brilliants [131]
2 years ago
8

ANSWER THIS PLEASEEEEES​

Mathematics
1 answer:
monitta2 years ago
5 0
-2!!! hope this helps!:)
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HELP ME IM STUPID! WILL MARK BRAINLIEST!!!!
Crank

Answer:

There is a horizontal translation 4 units left, and and vertical translation 1 unit down.

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent function: f(x) = (5)^x

Horizontal translation: 4 units left

Vertical translation: 1 unit down

Reflection about the x-axis: none

Vertical stretch: stretched

7 0
3 years ago
In an exponential function, f(x)=b^x, b is not allowed to be 1 explain why this restriction exists?
suter [353]

That is because b to any power = 1,

1^1 = 1, 1^0 = 1   1^0.25 = 1 etc

4 0
3 years ago
Jennifer belongs to a gym that requires a monthly membership fee of $60 plus an additional $15 fee for each yoga class she atten
Gnesinka [82]
Answer To The Question

C. y=15x+60
4 0
3 years ago
An evolutionary biologist examined the relative fitness of Escherichia coli bacteria grown for 2000 generations, about 300 days,
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: fitness of a line of E. coli grown on an acidic environment.

n= 6 E. coli lines

Recorded fitness for each line: 1.24, 1.22, 1.23, 1.24, 1.18, 1.09

The relative fitness of 1 indicates that both bacteria types are equally fit.

A relative fitness larger than 1 indicates that the acid-evolved line is more fit than the parental line kept at neutral pH when both are grown in acidic conditions.

Meaning that if the average fitness of the E. coli lines grown on an acidic environment is greater than 1 then they are better adjusted to live in acidic conditions, symbolically: μ > 1

The statistic hypotheses are:

H₀: μ ≤ 1

H₁: μ > 1

α: 0.05

Assuming that the variable has a normal distribution you have to apply a one-sample t-test:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}

X[bar]= 1.20

S= 0.06

t_{H_0}= \frac{1.20-1}{\frac{0.06}{\sqrt{6} } } = 8.40

The p-value for this test is 0.0002

Since the p-value= 0.0002 is less than α:0.05 the decision is to reject the null hypothesis.

Then at a 5% significance level, there is significant evidence to conclude that the bacteria evolved in acidic pH are better adapted to acidic conditions.

I hope you have a SUPER day!

7 0
3 years ago
Tristen is building 3 trophies using Legos. He needs 324 total Legos. Tristen uses 220 Legos for the largest trophy and 135 Lego
Alexeev081 [22]

Answer: 166

Step-by-step explanation:

Number of trophies = 3

Total Legos required for all trophies = 324

Number of Legos for largest trophy(A) = 220

Number of Legos for smallest trophy(B) = 135

Number of Legos required for final trophy(C)

=?

Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]

324 = 220 +135 + C

324 = 355 + C

324 - 355 = C

-31 = C

135 + 31 = 166

6 0
3 years ago
Read 2 more answers
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