Which is a solution for the following system of inequalities?

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Answer:

224

Step-by-step explanation:

360.-136.

Answer:

33,600,000

Step-by-step explanation:

Answer:

33,600,000.

Step-by-step explanation:

Answer:

If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58

Answer:

Circles are round shapes that doesn't have points or perhaps angles it shape is considered no a point shape thanks to it having no points ofc or can be used in measurements,yards,etc

Answer:

12 is

\(t = \frac{3(r - v)}{2} \\ \)

13 is

\(v = \frac{5}{9z - 9w} \)

Step-by-step explanation:

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Answer:

Where lines cross over each other. The lines have a common point.

Answer:

X = 1/4k

Step-by-step explanation:

Answer:

you save $6.50

Step-by-step explanation:

Answer:

15.4 or 15.3846153846 dollars Step-by-step explanation: 10/65 times n/100

You cross multiply, so you do 10 times 100 which is 1,000 then divide by 65.

Answer:

7200000

Step-by-step explanation:

Answer:

The procedure does results in a binomial distribution.

Step-by-step explanation:

For a binomial probability distribution to be applicable, certain conditions have to be met which are :

There must be a fixed number of observations ; here the number of observations are : 79

All observations must be independent ; the observations are independent ; odd or even

Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even

The probability of success must be equally likely for each observation.

Hence, the procedure results in a binomial probability distribution.

a. The distance from Carlton to Dalton is 76.61 km

b. The distance from Baxter to Dalton if you take the freeway is 145.61 km

From the question, we are to determine how far it is from Carlton(C) to Dalton(D)

From the given information,

The total distance from Abbott(A) to Dalton(D) is 233 km

Distance from C to D = Distance from A to D - Distance from A to C

Distance from A to C = 76.59 km + 79.8 km

Distance from A to C = 156.39 km

∴ Distance from C to D = 233 km - 156.39 km

Distance from C to D = 76.61 km

Hence, the distance from Carlton to Dalton is 76.61 km

b.

We are to determine the distance from Baxter(B) to Dalton(D) if you take the freeway

Taking the normal route,

Distance from B to D = 79.8 km + 76.61 km

Distance from B to D = 156.41 km

Now, from the given information,

The new freeway shortens the distance by 10.8 km

Thus,

The distance from Baxter(B) to Dalton(D) if you take the freeway

= 156.41 km - 10.8 km

= 145.61 km

Hence, the distance from Baxter to Dalton if you take the freeway is 145.61 km

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The equivalent ratios are 6:3, 24:12 and 18:9.

According to the question,

We have the following information:

We have a table where number of people and  benches are given.

(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)

Now, we will find the equivalent ratios column-wise:

In first column, we have 6 and 3.

6:3

Now, in second column, we have:

_:12

Now, dividing 12 by 3, we have 4.

Multiplying 4 into 6:

24:12

Now, in third column, we have:

18:_

Dividing 18 by 6:

18/6 = 3

Multiplying 3 by 3:

18:9

Hence, the equivalent ratios are 6:3, 24:12 and 18:9.

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Answer:

C) 58

Step-by-step explanation:

180-138=42

42+80=122

180-122=58

A= 58

Answer:

16 squares

Step-by-step explanation:

The area of an isosceles is \(\frac{bh}{2}\)

\(8 \cdot 4 = 32\\32 \div 2 = 16\)

Hope this helped!

Answer:

area = 16 unit ²

Step-by-step explanation:

given:

base = 8

height = 4

req'd : area of a triangle

area of isoceles triangle = 1/2 * b * h

= 1/2 * 8 * 4

= 16 unit²

The number of minutes it takes Darius to reach the shipwreck is 8.75 minutes

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Initial position = -5 feet

Rate = -8 feet per minute

Final position = - 75 feet

The linear equation of this situation is

Final position (y) = Initial position + Rate * Time (x)

So, we have

-75 = -5 -8x

This gives

-8x = -70

Divide both sides by -8

x = 8.75

Hence. the number of minutes it takes Darius to reach the shipwreck is 8.75 minutes

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Answer:

CAB is 37 degrees

Step-by-step explanation:

90 + 53 = 143

180 - 143 = 37

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

Point K and F

Looking at the data, you can see that most of the data points form close to a line- if you were to draw a line of best fit through the data, you would see that it would be quite close to most points on the graph. This is the trend of the graph, it is linear.

However, you can see thaf K and F do not come close to this trend at all and are therefore outliers since they do not fall close to the line.

Answer:

Step-by-step explanation:

The inequality that represents Jenny's situation is:

600 - 20w > 300

To solve for w, we can start by subtracting 600 from both sides of the inequality:

-20w > 300 - 600

-20w > -300

Next, we can divide both sides by -20, remembering to reverse the direction of the inequality because we are dividing by a negative number:

w < (-300) / (-20)

w < 15

Therefore, the number of weeks that Jenny can continue to withdraw $20 from her account is less than 15. Since Jenny cannot withdraw a fractional number of weeks, the largest whole number of weeks that satisfies the inequality is 14.

Therefore, Jenny can continue to withdraw $20 from her account for 14 weeks while still keeping more than $300 in her account for college.

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

A

Step-by-step explanation:

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Considering the definition of an equation and the way to solve it, the equation is y +(-3)=-8 and the solution is -5.

An equation is an algebraic equality in which letters appear with unknown value.

In an equation appears:

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true. To solve an equation, keep in mind:

Being "y" a number, and knowing that sum of a number and -3 is -8, the equation in this case is:

y + (-3)= -8

Solving:

y -3= -8

y= -8 +3

y= -5

Finally, the number "y" is -5.

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Using basic operations, it is found that you have 12 eggs.

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A similar problem is given at https://brainly.com/question/24459209

Step-by-step explanation:

1) 7/23 + 11/23 + 9/23

7+11+9/23

27/23

= 1 4/23

2) 2 5/7 + 9 4/7

11 9/7

= 11.12

3) 9/20 + 3/5

9+12/20

21/20

= 1 1/20 or 1.05

Answer:

Step-by-step explanation:When there are no outliers in a sample, the mean and standard deviation are used to summarize a typical value and the variability in the sample, respectively. When there are outliers in a sample, the median and interquartile range are used to summarize a typical value and the variability in the sample, respectively

Is it more appropriate to use the mean and standard deviation or the median and IQR to summarize theses data? Explain. It is more appropriate to use the median and IQR to summarize these data, because these data are not unimodal and symmetric.