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rosijanka [135]
3 years ago
13

Write an algebraic expression for the given statement Add 9z to the product of 3x and 7y

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0

Answer:

3x × 7y + 9z

Step-by-step explanation:

No explanation

Merry Christmas

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400:500 in simplest form
Inessa05 [86]

Answer:

4/5

Step-by-step explanation:

Short and Sweet Have a good day :D

8 0
3 years ago
what is the first term of a geometric sequence in which the second term is 6 and the fourth term is 54
IRISSAK [1]
For a geometric sequence:
U_{n} = a * r^{n - 1}
U_{n} = the nth term, i.e. U₂ is the second term, U₃ is the third term, etc.
a = first term (U₁)
r = multiplier
n = number corresponding to the postion of the nth term in the sequence, e.g. for U₂, n = 2, for U₃, n = 3

According to the information:
U₂ = 6
U₄ = 54
So:
U_{2} = a * r^{(2) - 1} = 6 \\\\ a * r^{1} = 6 \\\\ ar = 6 \\
U_{4} = a * r^{(4) - 1} = 54 \\\\ a * r^{3} = 54 \\\\ ar^{3} = 54
Now, we have two equations in terms of a and r;
We can work out a by first working out r;
If we let the U₂ eq'n be [1] and the U₄ eq'n be [2];
Then, we do [2] ÷ [1] to cancel out the a and get an equation with only r that we are able to solve and then just solve it, like so:
\frac{ar^{3}}{ar} =  \frac{54}{6} \\\\ r^{2} = 9 \\\\ r = 3
Note: r has to be 3, and not -3, as the two given terms of the sequence tell us that the terms of the sequence will get bigger from each term to the next so r has to be above 1.

Now that we know r, we can sub it back into either [1] or [2] and solve for a, Its quicker and easier to sub it into [1] as we have no powers greater than 1 and we have smaller numbers to deal with (but you would get the same value of a either way), so:
U₂ = ar = 6
a(3) = 6
a = 6/3
a = 2
5 0
3 years ago
Rudolph borrowed $650 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at l
Zolol [24]
All you have to do for this one is 650 divided by 76 which is 8 but it won't go into it evenly
4 0
3 years ago
Please help me solve this problem
ss7ja [257]

Answer:

<h2>Number of solutions: 3</h2><h2>Type: -10, -2, 2.8</h2>

Step-by-step explanation:

f(x) = 0 - the solutions are the x-intercepts.

Look at the picture.

<em>Unit: 2 : 5 = 0.4</em>

7 0
3 years ago
14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas
jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

__

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

__

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

5 0
2 years ago
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