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3 years ago

For each ordered pair, determine wether it is a solution to y= -3x +5

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

4 0

Answer:

1.yes

2.no

3.yes

4.no

Step-by-step explanation:

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Henry is making a corn grits recipe that calls for 1/4 cup of corn grits every 1/2 cup of water.how much water will he need if h

Mariana [72]

3 cups I think not sure hope this has helpful and I am sorry if it wasn’t have a good dat

5 0

3 years ago

The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 2 i

Marrrta [24]

Answer:

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

Step-by-step explanation:

We have

$\texttt{Volume = }\frac{1}{3}\pi r^2h$

Taking derivative with respect to time,

$V=\frac{1}{3}\pi r^2h\\\\\frac{dV}{dt}=\frac{1}{3}\pi \frac{d}{dt}\left (r^2h \right )\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)$

Given that

r = 40 inches

h = 20 inches

$\frac{dr}{dt}=2inch/s\\\\\frac{dh}{dt}=-2inch/s$

Substituting

$\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2r\frac{dr}{dt}\times h+r^2\frac{dh}{dt}\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left ( 2\times 40\times 2\times 20+40^2\times (-2)\right)\\\\\frac{dV}{dt}=\frac{1}{3}\pi \left (3200-3200\right)=0inch^3/s$

Rate of change of volume when the radius is 40 inches and the height is 20 inches = 0 inch³/s

4 0

3 years ago

2. Associe chacun des termes de la rangée du haut à un terme semblable

olya-2409 [2.1K]

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5 0

3 years ago

In a certain state, license plates each consist of 2 letters followed by either 3 or 4 digits. How many differen license plates

coldgirl [10]

Answer:

26 × 26 × 10 × 10 × 10 = 676 , 000 possibilities

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all 26 letters of the alphabet and all 10

digits can be used again.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet. There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is: 26 × 26 = 676

The same applies for the three digits. There are 10 choices for the first, 10

for the second and 10 for the third:

10 × 10 × 10 = 1000

So for a license plate which has 2 letters and 3 digits, there are: 26 × 26 × 10 × 10 × 10 = 676 , 000 possibilities.

Hope this helps.

8 0

3 years ago

Out of a group of 20 volunteers, 11 people are chosen to participate in a survey about the number of miles they drive to work e

slamgirl [31]

Answer:

11 persons chosen to participate in the survey

Step-by-step explanation:

A certain fraction or percentage of subjects or persons drawn randomly from a larger population is called a sample. A randomly selected set of sample will be representative of the population especially when it is impossible for the whole population to participate in the study. In the scenario above, the population or larger group would be the set of volunteers. The actual number of people chosen from the group of volunteers to participate in the survey is the sample, which are the 11 people chosen from the volunteers.

8 0

3 years ago