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3 years ago

(-2x⁹y³)⁴ type your answer using exponential notation

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer:

-16 x13th power and y7th power Im sorry I dont know how to do that on this system

Step-by-step explanation:

you first solve the whole number -2to the 4th power. then with the other exponents you add them to the outside exponent. 9=4=13 and 3+4=7

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Which answer is it??

natulia [17]

A is the correct answer. PEMDAS for single step and double step equations alike.

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3 years ago

Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.

Alex17521 [72]

The function that is a tangent to the graph of f is $f(x) = (5/4)x^4+60$

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

40x + y = 0 is tangent of f(x)
slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

$5a^3 = -40\\a^3 = -8\\a = -2$

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

$f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60$

Therefore,

$f(x) = (5/4)x^4+60$

See more about tangent at brainly.com/question/401236

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2 years ago

A researcher is investigating which of two newly developed automobile engine oils is better at prolonging the life of an engine.

Paraphin [41]

Answer:

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Step-by-step explanation:

Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk?

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3 years ago

What property was applied to solve the equation below?

Len [333]

Answer:

Division property

Step-by-step explanation:

The property which states that we can divide both side of the equation by the same non-zero number is called the division property of equality.

The goal of dividing an equation is to isolate the unknown variable on one side.

For example, let the equation be:

2×x=10

Since the unknown variable x is being multiplied by the number 2, to isolate the variable an inverse operation needs to be applied - division:

2×x÷2=10÷2

Careful! Never forget to write the same operation on both sides of the equation! When doing so, the solution of the equation stays the same, i.e. we get an equivalent equation.

4 0

3 years ago

Read 2 more answers

A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

4 0

4 years ago