Which of the following numbers can be expressed as a decimal that terminates? a) 7 over 4 and 3 over 8 b) 5 over 9 and 2 (2023)

The easiest way to make a fraction into a decimal is to divide the numerator by the deniminator. Since terminating is a decimal that ends, and doesn't repeat, the answer would have to be A. To eliminate, 5/9 is 0.555.. so it's not the answer.7/4 is 1.75, but 5/9 is 0.55... 3/8 is 0.375, but 2/3 is 0.666

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Mathematics

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

The solution is provided in above image

Mathematics

Answer:

Please, see below:

Step-by-step explanation:

For this case we have the following function

Where T represent the temperature in Celsius and w the power input in watts.

Part a

For this case we need to find the value of w that makes the temperature 203C, so we can set the following equation:

And we can rewrite the expression like this:

And we can solve this using the quadratic formula given by:

Where a =0.1, b =2.156 and c=-183. If we replace we got:

And since the power can't be negative then the solution would be w = 33.34 watts.

Part b

For this case we can find the values of w for the temperatures 203-1= 202C and 203+1 = 204 C. And we got this:

So then the range of voltage would be between 33.22 W and 33.45 W.

Part c

For this case since that's the tolerance 1C

For this case we can do this:

So then we select the smallest value on this case

For this case if we assume a tolerance of for the temperature and a tolerance for the power input we see that:

Where a = 33.34 W, f(x) represent the temperature, x represent the input power and L = 203C

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

Answer options:
A. y=1/7×+4/7;
B. y=1/7×+16/7;
C. y=4/7×-1/7;
D. y=4/7×+1/7​.

Answer: D. y=4/7×+1/7​.

Explanation:
The two-point form for the equation of straight line is:
(y-y1)=y2-y1/x2-x1*(x-x1).
The two points provided are:
A = (5, 3);
B = (12, 7).
Compute the equation of the trend line as follows:
(y-y1)=y2-y1/x2-x1*(x-x1);
(y-3)=7-3/12-5*(x-5);
(y-3)=4/7*(x-5);
y-3=4/7x-20/7;
y=4/7x-20/7+3;
y=4/7x+(-20+21)/7;
y=4/7x+1/7.
Thus, the equation of the trend line is y=4/7x+1/7.
The correct option is (D).

Mathematics

Correct question:
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400 . Write an inequality to determine the number, t , of tickets the committee could sell to have money left over after they pay for this year's dance.

Answer: 72+4*x>=400.

Explanation:
Given:
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.
The dance will cost $400.
Let x number of tickets the committee could sell.
Total money earned is 72 + 4 × x.
The committee should have some left over money also after spending for the dance which costs $400.
Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,
72+4*x>=400.

Mathematics

The answer is in the image

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