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KATRIN_1 [288]
2 years ago
10

Really need help with this problem

Mathematics
1 answer:
liq [111]2 years ago
8 0

Answer:

29.24

Step-by-step explanation:

p= 27

b= 48

now finding the value of x,

tanx°= p/b

=27/48

=0.56

now,

x°= tan-¹ 0.56

= 29.24

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Use mathematical induction to prove that if L is a linear transformation from V to W, then L (α1v1 + α2v2 +· · ·+αnvn)= α1L (v1)
e-lub [12.9K]

Answer:

The proof is shown in the explanation below.

Step-by-step explanation:

Analysis:

The proof by induction focuses on n. In this case, let n = 1, and L^{1} will be a linear operator since L^{1} = L

The exercise will show that L^{n} is a linear operator on V and that L^{n+1} is also a linear operator on V. This, follows that:

L^{n+1} (av) = L(L^{m}(v_{1}+v_{2})\\                   = L(L^{m} (v_{1} + L^{m}v_{2})\\                   = L(L^{m}v_{1} + L(L^{m}v_{2})\\                   = L^{m+1}(v_{1}) + L^{m+1}(v_{2})

6 0
3 years ago
Read 2 more answers
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v
geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0
3 years ago
Rewrite the definition “All rectangles are parallelograms” in biconditional form.
harkovskaia [24]
In logic, a biconditional<span> is a compound </span>statement<span> formed by combining two conditionals under "and." Biconditionals are true when both </span>statements<span> (facts) have the exact same truth value.

It could help you transform the statement into biconditional form.

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Write the slope intercept form of the equation of each line
Advocard [28]

Answer:

y = -1/3

Step-by-step explanation:

4 0
2 years ago
Please help with number 27 thanks
Ronch [10]
This should be the answer to 27

4 0
3 years ago
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