Simplify the expression below
2.25 - 2(7.5 - 4.h)

Therefore,  It will take the pine tree 28 years to reach a height of 7 feet, given its growth rate of 3 inches per year.

Let's start with a brief explanation of the problem.
Explanation: To find out how long it will take for a pine tree to reach 7 feet in height, we need to know its growth rate. In this case, the tree grows 3 inches per year. We need to convert 7 feet to inches and then divide by the growth rate.
First, convert 7 feet to inches: 7 feet * 12 inches per foot = 84 inches.
Now, divide the total height in inches by the growth rate: 84 inches / 3 inches per year = 28 years.

Therefore,  It will take the pine tree 28 years to reach a height of 7 feet, given its growth rate of 3 inches per year.

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a) after 30 minutes, they will 12.5 m apart

b)  25  is the distance between the boats changing 30 minutes after they leave port

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(west) of the right angle triangle.

Let y represent the length the longer leg(south) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

 = 20^2+15^2

 z = 25

but after 30 minutes one travels 10mph

and another 7.5mph

then

z= 12.5

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The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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A class with a large range and a small standard deviation in grades indicate significant variability among students' performance, with some excelling or struggling while the majority perform at an average level.

When a set of grades for a class has a large range and a small standard deviation, it provides valuable insights into the distribution and variability of the grades.

The large range suggests that there is a significant spread between the highest and lowest grades in the class. This indicates that there may be substantial diversity in the performance of the students. Some students may have excelled and achieved high grades, while others may have struggled and obtained lower grades.

On the other hand, the small standard deviation indicates that the majority of the grades are clustered closely around the class average. The standard deviation measures the dispersion or spread of the grades from the mean. A small standard deviation suggests that the grades are relatively close to the average, indicating consistency in the performance of the students.

In the specific context of grades in a class, this scenario could imply that there are a few high-achieving students who have obtained exceptional grades, along with a few low-achieving students who have earned significantly lower grades. However, the majority of the class has performed at an average level, resulting in a small standard deviation.

It is important to note that this interpretation assumes a normal distribution of grades. Additionally, other factors such as the grading scale, difficulty of the assessments, and the specific characteristics of the class should be considered for a comprehensive understanding of the class performance.

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The value of π for this binomial distribution is not given and needs to be calculated.

how to calculate π, we need to know that π represents the probability of success for each trial in a binomial distribution. We can use the formula μ = nπ, where μ is the mean and n is the number of trials, to solve for π.

we are given that the mean is 4.0 and n = 8. Substituting these values into the formula, we get 4.0 = 8π, which simplifies to π = 0.5. Therefore, the probability of success for each trial in this binomial distribution is 0.5.

To find π for a binomial distribution, we need to use the formula μ = nπ and solve for π by substituting the given values. In this case, the value of π is 0.5, which means the probability of success for each trial is 0.5.

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Answer:

No

Step-by-step explanation:

Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)

Answer:

9

Step-by-step explanation:

9.1104

nearest tenth is 1 so it doesn't need to be rounded

Answer: \(\sqrt{83}\) ≈ 9.1

Step-by-step explanation: The original answer is 9.11043357914 but 9.1 is the closest you can get since the next few digits are under 5 so there is not much to be rounded for. I hope this helps!

Answer:

An absolute value equation with solutions of x = 3 and x = 9 is |x - 6| = 3.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Please mark me as brainliest

Answer:

false

Step-by-step explanation:

just took test

Answer:

1.) x={1,−2}

2.) x={3,-9}

3.) x = {4, 4}

4.) x={0, 12}

5.) x = {6, 8}

Step-by-step explanation:

1.) x2+x-2=0

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   1 .

-2 +  1=   -1

     -1+ 2=  1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2

             x2 - 1x + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                 x • (x-1)

add up the last 2 terms, pulling out common factors :

                   2 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-1)

               (x + 2) • (x - 1)  = 0

Hope this Helps!!!!

Hopefully you understand

When converting time from 12 hour to 24 hour format, you need to make sure if it's AM or PM and add or not 12 hours accordingly. To convert 16:00 p.m. to military time, you need to add 12 hours to the time.

Military time, also known as 24-hour time, is a way of expressing time that is commonly used in the military, but is also used in other settings such as transportation and emergency services. It is different from the 12-hour time that is typically used in everyday life.

To convert 16:00 p.m. to military time, you need to add 12 hours to the time. This is because 16:00 p.m. is the 16th hour of the day, but military time starts counting at 00:00 and goes up to 23:59. So, 16:00 p.m. in 12-hour time would be the same as 16+12=28 in military time. However, since military time uses only two digits to represent the hour, we need to subtract 24 from the result. This gives us 28-24=04:00.

So, 16:00 p.m. in 12-hour time would be equivalent to 04:00 in military time.

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The precision of the measurements can change based on the number of data points and the variability of the data.

The mean absolute deviation (MAD) is a measure of the precision of a set of data. It represents the average difference between each value in the set and the mean of the set.

In this scenario, you and two other groups measured the same glassware, and you want to recalculate the MAD using the combined data from all three groups.

To find the new MAD, you need to first find the mean of the combined data set and then find the absolute difference between each value and the mean.

This will give you a set of values representing the deviation from the mean. To find the MAD, you then take the average of these deviation values.

Comparing the new MAD with your original measurement will give you an idea of the precision difference between your measurements and the combined measurements of the three groups.

If the new MAD is smaller than your original MAD, this means the combined measurements are more precise and have a smaller deviation from the mean.

The more data points and the less variability, the more precise the measurements will be. In this scenario, combining the data from three groups has likely improved the precision of the measurements.

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Answer:

The measures of this complementary angles is:

45°

Step-by-step explanation:

Complementary angles sum 90°

∡A + ∡B= 90°

∡A = ∡B

Then:

∡A + ∡A = 90°

2∡A = 90°

∡A = 90/2

∡A = 45°

∡B = 45°

Answer: the answer is

53.1

What do we know?

There are 9 black pens and 3 green pens.

What else do we know?

We know that 11 of the pens aren't black, and 5 of them aren't green.

Black pens (9) : red pens (6) : green pens (3)

How'd I get 6?

If 11 pens aren't black, they had to be green, but 5 of them weren't green. So, I subtracted 11 from 5 to get 6 red pens.

I hope that makes sense.

Final answer:

9:6:3

WARNING: I could be wrong as I'm not fully sure, but this is what I think.

Answer:

42.86

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

First, we turn it into a fraction:

18/42

Simplify:

3/7 = 42.86 (rounded)

So 18 is 42.86% of 42

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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B .The value of f(x) is increasing for each unit decrease in x  about the graph is correct.

What is the graph of exponential function?

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines

Exponential function f(x) is given

According to given graph, The value of f(x) is increasing for each unit decrease in x

Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.

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Answer: 135 degrees

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

sum of triangle angles = 180

then JLK =. 180 -(70+65) = 180 - 135 = 45

then JLK = 45

since JLM = 180

then KLM = 180 - 45 = 135

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

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For given problem, The common denominator is 12 and Before adding the fractions the numerator of first fraction was 16 and numerator of second fraction was 15.

The representation of sections or portions of a whole using fractions is common. It consists of Numerator and the denominator reflects the total number of equally sized pieces that make up the whole, whereas the numerator represents the number of components we have.

For example, in the fraction 5/4, 4 is the denominator and 5 is the numerator.

Now for given problem,

Kiera had \(1\frac{1}{3}\) cups of coffee in the morning, equivalent to \((4/3)\) cups of coffee.

Kiera also had\(1 \frac{1}{4}\) cups of coffee in the afternoon, equivalent to \((5/4)\) cups of coffee.

Now we can add the two fractions together:

\((4/3) + (5/4)\)

To find common Denominator;

(LCM) of 3 and 4 is 12

Making denominator of both fraction 12;

\((4/3) * (4/4) + (5/4) * (3/3)\)

\((16/12) + (15/12)\)

\(16/12 + 15/12 = (16 + 15)/12 = 31/12\)

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Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

Answer:

landline

hshdjdh

dbbdhdhdh

bdbdhdhdhe

Answer:

Router

Step-by-step explanation:

Hope this helps

The slopes of the parallel line and the perpendicular line are - 5 / 3 and 3 / 5, respectively.

In this problem we find the following line equation:

y = - (5 / 3) · x + 2

Where the constant - 5 / 3 represent the slope of the line. Herein we need to determine the slopes of a line parallel with and a line perpendicular to that line. This can be done by knowning the following hints:

Then, the respective slopes are described below:

Parallel

m = - (5 / 3)

Perpendicular

m = 3 / 5

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Answer:

12.9

Step-by-step explanation:

The smallest possible answer for 4.48 + 8.56 would be obtained if we round down each number to the nearest tenth before adding them:

4.48 rounded down to the nearest tenth is 4.4

8.56 rounded down to the nearest tenth is 8.5

Adding these rounded numbers gives:

4.4 + 8.5 = 12.9

Therefore, the smallest possible answer for 4.48 + 8.56 is 12.9.