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Alchen [17]
2 years ago
9

What is the product of 3a + 5 and 2a2 + 4a – 2?

Mathematics
2 answers:
Virty [35]2 years ago
3 0
Hello,
(3a+5)(2a²+4a-2)=6a^3+10a²+12a²+20a-6a-10
=6a^3+22a²+14a-10

Answer A


Stolb23 [73]2 years ago
3 0

Answer:

A is the answer

Step-by-step explanation:

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A car company sells a scale model to of the size of one of its cars.
mixer [17]

Answer:

w = 13500 --- real windscreen

v = 408 --- scale volume

Step-by-step explanation:

Given

k = \frac{1}{10} --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

w = \frac{w_{scale}}{k^2}

This gives:

w = \frac{135}{(1/10)^2}

w = \frac{135}{1/100}

w = 13500

Next, the volume (v) of the scale mode

We make use of the following computation

v = v_{real} * k^3

So, we have:

v = 408000 * (1/10)^3

v = 408000 * 1/1000

v = 408

7 0
2 years ago
If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, −3) and Boat B is docked at (−3.4, −3). The boats are _
Tasya [4]
They are 5.8 units apart
5 0
2 years ago
Read 2 more answers
Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year,
IrinaVladis [17]
Use compound interest formula  F=P(1+i)^n twice, one for each deposit and sum the two results.

For the P=$40,000 deposit,
i=10%/2=5%  (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253

For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6 
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913

Total amount after 6 years
= 71834.253 + 26801.913
=98636.17   (to the nearest cent.)
8 0
2 years ago
Kaleb went to a theme park with $25 to spend. He spent $5.25 on food and paid $4.00 for each ride. What was the greatest number
Shtirlitz [24]
Answer is 4 rides
19.75 after food so divide it by 4 to get your answer
8 0
2 years ago
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