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3 years ago

How do solve 1.9x(10.6-2.17)

Mathematics

2 answers:

slava [35]3 years ago

6 0

You should do distributive property.

ollegr [7]3 years ago

4 0

Use PEDMAS so it would be 10.5-2.17 and then multiplied by 1.9. Best of luck!

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At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts

EastWind [94]

Answer:

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, y = 128(0.989)x + 72

When the temperature is 172°F we have;

170 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (170 - 72)/128

= 98/128

= 0.7656

log(0.989)ˣ = log(0.7656)

x·log(0.989) = log(0.7656)

x = log(0.7656)/log(0.989)

= 24.15 minutes

4 0

3 years ago

Unit 5. 1) Please help. What is the volume of the cone?

SVEN [57.7K]

Answer:

I think the correct answer is 27 so option c. :)

8 0

3 years ago

Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear e

Oksanka [162]

The coordinates of a point satisfies the equation of a line if the point lies on the line
If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
This means that each point where the two lines touch is a solution to the system of equations
This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true

<h2>Explanation:</h2>

You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:

$(1) \ y=3+2x \\ \\ (2) \ y=x$

The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:

$-3=3+2(-2) \therefore -3=-3 \ True! \\ \\ (2) \ -3=-3 \ True!$

Also, you can have a system with infinitely many solutions as the following:

$(1) \ y+2x=4\\ \\ (2) \ 2y+4x=8$

Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).

<h2>Learn more:</h2>

System of linear equations in real life problems: brainly.com/question/10412788

#LearnWithBrainly