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sammy [17]
3 years ago
15

Find the first four terms of the arithmetic sequence when a1 = 3 and d = 2.

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer:

3, 5, 7, 9

Step-by-step explanation:

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Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.
Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0
3 years ago
Is (x+5)2 equivalent to 2x2+10x +10? Explain why or<br> why not?
Rzqust [24]

Answer:

no

Step-by-step explanation:

no because its equal to 2x+10

4 0
3 years ago
What is the domain of the following parabola?
musickatia [10]
I believe it’s the last option sorry if I’m incorrect
3 0
3 years ago
Waitresses all want to work the "high roller" room at a local restaurant. There are six waitresses each evening assigned to one
Stells [14]

Answer:

The expected amount earned by a waitress per evening is $95.83.

Step-by-step explanation:

At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.

There are 6 waitresses working at the local restaurant.

The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.

This implies that a waitress can be assigned any of the six rooms with probability, \frac{1}{6}.

The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.

So, the distribution of tips earned is as follows:

    X: $200    $75    $75    $75    $75    $75

P (X):     \frac{1}{6}          \frac{1}{6}         \frac{1}{6}          \frac{1}{6}         \frac{1}{6}         \frac{1}{6}

The expected value of a random variable is given by:

E(X)=\sum x\cdot P (X)

Compute the expected amount earned by a waitress per evening as follows:

E(X)=\sum x\cdot P (X)

         =(200\times \frac{1}{6})+(75\times \frac{5}{6})\\\\=\frac{575}{6}\\\\=95.8333\\\\\approx 95.83

Thus, the expected amount earned by a waitress per evening is $95.83.

3 0
3 years ago
What is this?<br> −567.45+567.45
djverab [1.8K]

Answer:

0

Step-by-step explanation:

The explanation is in the attached file.

Sidenote: Hope this helps! :D

3 0
3 years ago
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