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blagie [28]
2 years ago
11

Suppose f′(6)=5 and g′(6)=7. Find h′(6) where h(x)=4f(x)+5g(x)+1.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
3 0

The value of the derivative of functions h'(6) as requested in the task content is; 55.

<h3>What is the value of h'(6)?</h3>

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

Read more on functions;

brainly.com/question/6561461

#SPJ1

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Laura drank 1/3 quart of milk with breakfast, 1/4 quart of milk with lunch, and 1/6 quart of milk with dinner. How much milk did
cluponka [151]

Answer:

9/16 quarts of milk

Step-by-step explanation:

1/3 + 1/4 + 1/6

8/24 + 6/24 + 4/24

18/24 = 9/16 qts.

Your welcome!

Kayden Kohl

8th Grade Student

3 0
2 years ago
A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?
Tasya [4]

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0
3 years ago
Read 2 more answers
Suppose you carry out a significance test of h0: μ = 8 versus ha: μ &gt; 8 based on sample size n = 25 and obtain t = 2. 15. Fin
OLEGan [10]

Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:

a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.

<h3>What is the relation between the p-value and the conclusion?</h3>

It also involves the significance level, as follows.

  • If the p-value is less than the significance level, we reject the null hypothesis h_0.
  • If it is more, we do not reject.

In this problem, a t-distribution calculator for a right-tailed  with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.

It is less than 0.05, hence option a is correct.

More can be learned about p-values at brainly.com/question/26454209

5 0
2 years ago
Find the slope given for (-2,-5) and (3,-2)
Whitepunk [10]

Answer:

The slope is 3/5

8 0
2 years ago
Read 2 more answers
QUESTION ON THE PICTURE
Helen [10]
Answer: 1 1/2
Explanation: the first number of the division problem stays the same but you flip the second fraction witch is 1/2 then that will be 2/1 then change the division symbol into a multiplication symbol and 3/4 times 2/1 and that equals6/4 and 6/4 is divisible by two so you divide 6/4 x 2. That equals 3/2 and you had to make that a mixed number so you divide two and 33 on the inside of the house and two on the outside. Two goes into threewants and when is your whole number and your remainder is one and one is your numerator and two is your denominator. You might understand it better if you see my work which a photo of it is down below.

3 0
2 years ago
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