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3 years ago

Can someone please help me with math.

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

Answer:

4: No

5: A

Step-by-step explanation:

4: The mapping does now represent a function. In a function each x value can only have 1 corresponding y value ( meaning that the x values can not repeat.) In the mapping the x value 3 corresponds with 2 y values therefore the mapping is not a function.

Formula for volume of a cylinder = $V=\pi r^2h$

Where r = radius and h = height

The cylinder shown has a given diameter of 22ft and a given height of 10ft

In order to use the formula we must convert the diameter to radius.

To do this we divide the diameter by 2 ( this is because the radius is equal to half the diameter )

so radius = 22/2 = 11

Now we plug in the dimensions into the formula

$V=\pi 11^210\\11^2=121\\121*10=1210\\1210\pi$

Remember, it says " Leave your answer in terms of pi," therefore we do not apply pi and leave it as 1210π

We can conclude that the answer is A

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A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in

iVinArrow [24]

Answer:

The truck

Step-by-step explanation:

You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.

7 0

3 years ago

A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the

san4es73 [151]

3s+s=32

I did it on TTM and it was correct ^^

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4 years ago

Can someone tell me how this answer is o? 2(2-2x)=4 solving one variable equations

kolbaska11 [484]

2(2 - 2x) = 4

Distribute (multiply) 2 inside the parentheses.

4 - 4x = 4

Subtract 4 from both sides.

-4x = 0

DIvide both sides by -4.

x = 0

x is 0 because anything divided by 0 (0/-4) equals 0.

8 0

3 years ago

Read 2 more answers

Which statmen is true about the slope of the line rt

snow_lady [41]

D. The slope is the same between any two points because it is linear.

4 0

3 years ago

Let H be a subgroup of a group G. We call H characteristic in G if for any automorphism σ∈Aut(G) of G, we have σ(H)=H.

choli [55]

Answer:Problem 1. Let G be a group and let H, K be two subgroups of G. Dene the set HK = {hk : h ∈ H,k ∈ K}.

a) Prove that if both H and K are normal then H ∩ K is also a normal subgroup of G.

b) Prove that if H is normal then H ∩ K is a normal subgroup of K.

c) Prove that if H is normal then HK = KH and HK is a subgroup of G.

d) Prove that if both H and K are normal then HK is a normal subgroup of G.

e) What is HK when G = D16, H = {I,S}, K = {I,T2,T4,T6}? Can you give geometric description of HK?

Solution: a) We know that H ∩ K is a subgroup (Problem 3a) of homework 33). In order to prove that it is a normal subgroup let g ∈ G and h ∈ H ∩ K. Thus h ∈ H and h ∈ K. Since both H and K are normal, we have ghg−1 ∈ H and ghg−1 ∈ K. Consequently, ghg−1 ∈ H ∩ K, which proves that H ∩ K is a normal subgroup.

b) Suppose that H G. Let K ∈ k and h ∈ H ∩ K. Then khk−1 ∈ H (since H is normal in G) and khk−1 ∈ K (since both h and k are in K), so khk−1 ∈ H ∩ K. This proves that H ∩ K K.

c) Let x ∈ HK. Then x = hk for some h ∈ H and k ∈ K. Note that x = hk = k(k−1hk). Since k ∈ K and k−1hk ∈ H (here we use the assumption that H G), we see that x ∈ KH. This shows that HK ⊆ KH. To see the opposite inclusion, consider y ∈ KH, so y = kh for some h ∈ H and k ∈ K. Thus y = (khk−1)k ∈ HK, which proves that KH ⊆ HK and therefoere HK = KH. To prove that HK is a subgroup note that e = e · e ∈ HK. If a,b ∈ HK then a = hk and b = h1k1 for some h,h1 ∈ H and k,k1 ∈ K. Thus ab = hkh1k1. Since HK = KH and kh1 ∈ KH, we have kh1 = h2k2 for some k2 ∈ K, h2 ∈ H. Consequently,

ab = h(kh1)k1 = h(h2k2)k1 = (hh2)(k2k1) ∈ HK

(since hh2 ∈ H and k2k1 ∈ K). Thus HK is closed under multiplication. Finally,

Step-by-step explanation:

6 0

3 years ago