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2 years ago

Help me with this math problem please

Mathematics

2 answers:

AnnyKZ [126]2 years ago

7 0

The answer is 4 to the power of 0

lianna [129]2 years ago

3 0

The expression
${4}^{5} \times {4}^{ - 7} \div {4}^{ - 2}$
is the same as
$\frac{ {4}^{5} \times {4}^{ - 7} }{ {4}^{ - 2} }$
Which, if we switch the negative exponents, equals
$\frac{ {4}^{5} \times {4}^{2} }{ {4}^{7} }$
And if we combine them, they equal
$\frac{ {4}^{7} }{ {4}^{7} }$
Then we divide, and they equal
${4}^{0}$

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Can anyone solve part C?

nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

$\frac{d}{dx}$ $\int\limits^x_a {f(t)} \, dt$ = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

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2 years ago

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Rudik [331]

Answer:

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Step-by-step explanation:

7 0

3 years ago

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Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m

BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations. Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38. If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts. If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits. Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system. In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38

s + 21 = 38

s = 17

Therefore, the t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Hope this helps!

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Naddika [18.5K]

Answer:
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Item 12 a rectangular room is 10 feet longer than it is wide. one-foot-by-one-foot tiles cover the entire floor. let ww represen

Svetradugi [14.3K]

Given:

Rectangular room is 10 feet; and

1 x 1 ft tiles

The expression for this problem would be:

If we know that the width is w, while the length is w + 10, therefore the perimeter is 2w + 2 (w + 10), so you need 4w + 20 - 4, or 4w + 16 tiles. Since you do not want to count the corners, twice.

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3 years ago