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4 years ago

Please help me solve this?

Mathematics

1 answer:

yKpoI14uk [10]4 years ago

3 0

Answer:

$15x^4y^5z^2$

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

$3xy^4z^2\cdot 5x^2yx=(3\cdot 5)x^{1+2+1}y^{4+1}z^2=15x^4y^5z^2$

_____

<em>Comment on the rule of exponents</em>

You can see where the rule comes from when you consider that an exponent signifies repeated multiplication.

x² = x·x . . . . . . the 2 signifies that x is a factor 2 times

x³ = x·x·x . . . . the 3 signifies that x is a factor 3 times

The product of these is ...

(x²)(x³) = (x·x)(x·x·x) = x·x·x·x·x = x⁵ = x²⁺³

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4.25x10 to the power of 3 in standard notation

Leviafan [203]

The basic idea is that multiplying by 10 just moves the decimal point one place to the right. It makes the number bigger.

Examples:

3.1 x 10 = 31

3.1 x 10 x 10 = 31 x 10 = 310

Each time you multiply by another 10, the decimal point moves one more place.

In your exercise, $10^3$ says you're going to multiply by 10 <u>three</u> times in a row. So that will move the decimal point 3 places to the right.

So what do you get if you move the decimal in 4.25 three places to the right?

8 0

3 years ago

Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts o

Nikolay [14]

The that indicates the height is AB
The letter that indicates the radius is CB
The letter indicates the diameter is CD
The letter indicates the vertex is A

A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.

Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.

Therefore, Vertex is at the top of the cone which is point A.

Learn more about cone at:

brainly.com/question/15946689

#SPJ4

8 0

2 years ago

Please help asap 100 points

vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

<u>Divide the diameter by two to get the radius</u>

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

<u>Plug in the values</u>

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

<u>Simplify the exponent</u>

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

<u>Simplify the expression</u>

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

<u>Make an expression to represent the scenario</u>

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

<u>Distribute both sides</u>

$32(x + 32) = 28(20 + 28)$

$(32 * x) + (32 * 32) = (28 * 20) + (28 * 28)$

$32x + 1024 = 560 + 784$

<u>Simplify the expression</u>

$32x + 1024 = 1344$

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

<u>Subtract 1024 from both sides</u>

$32x + 1024 - 1024 = 1344 - 1024$

$32x = 1344 - 1024$

$32x = 320$

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

<u>Divide both sides by 32</u>

$\frac{32x}{32} = \frac{320}{32}$

$x = \frac{320}{32}$

$x = 10$

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

8 0

2 years ago

Help me with this!! Will mark Brainliest ❤️

gizmo_the_mogwai [7]

Answer: the length of Q&R is 1 inch

Step-by-step explanation: Plz make brainliset

4 0

3 years ago

Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and

monitta

Answer:

<h2> Bike A costs $270 and has an expected maintenance cost of $36 per year.</h2><h2 /><h3>"Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."</h3>

Step-by-step explanation:

270-36x

there are 5 years so x=5

270 + 36(5) = 270 + 180 = <u>450</u>

If it were 6 years than x = 6

270 + 36(6) = 270 + 216 = <u>486</u>

Bike B:

360 + 20x

For option b x = 5

360 + 20(5) = 360 + 100 = 460

for option b it would be 6 years than x = 6

360 + 20(6) = 360 + 120 = <u>480</u>

<h3>Hope i helped!</h3>

5 0

3 years ago