why is the square root of 32 irrational

Answer:

b 3

Step-by-step explanation:

3x is the lope

Final answer:

To solve the equation 2q + 10 = 7q, subtract 2q from both sides and then divide by 5, resulting in q = 2.

Explanation:

To solve the equation 2q + 10 = 7q, you need to isolate the variable q on one side. Here are the steps you should follow:

Subtract 2q from both sides to get all q terms on one side of the equation: 2q + 10 - 2q = 7q - 2q, which simplifies to 10 = 5q.

Divide both sides by 5 to solve for q: 10 / 5 = 5q / 5, resulting in q = 2.

Therefore, the value of q that solves the equation is 2.

Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent

Given only that m<2 = 34, we can't find the value of m<4. More information about the relationship between these angles is needed to solve the problem.

The question asks to find the value of m<4 given that m<2=34.

It's important to note here that 'm<2' and 'm<4' are two different angle measures. Without more information about their relationship, such as them being supplementary, complementary or vertically opposite angles, it's impossible to find the measure of m<4 based on m<2 alone.

So, we can't find the value of m<4 using only the information provided. You might need to look back at the original problem or figure to see if there is additional information available about these angles.

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Answer:4.8 days =6956

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given are the four options and we have to select the one which is not good defintion.

A)A whole number is even if and only if it is divisible by 2.

--- Is correct definition of even number.

B. A whole number is odd if and only if the number is not divisible by 2.  

---  Correct definition

C. An angle is straight if and only if its measure is 180.  

... correct definition

D. A ray is a bisector of an angle if and only if it splits the angle into two angles

...   This is incorrect because congruent/equal angles should be there

Correct definition is

A ray is a bisector of an angle if and only if it splits the angle into two congruent angles

Answer:

Option D.

Step-by-step explanation:

A biconditional statement are the statement in which both parts have the same truth value. It is written in the form of "p if and only if q".

First statement: A whole number is even if and only if it is divisible by 2.

This statement is a biconditional statement because it is the definition of even numbers and have the same truth value.

Second statement: A whole number is odd if and only if the number is not divisible by 2.

This statement is a biconditional statement because it is the definition of odd numbers and have the same truth value.

Third statement: An angle is straight if and only if its measure is 180.

This statement is a biconditional statement because it is the definition of straight angle and have the same truth value.

Fourth statement: A ray is a bisector of an angle if and only if it splits the angle into two angles.

This statement is not a biconditional statement because if a ray splits the angle into two angles, then it is not necessary that it is a bisector.

Definition of bisector: A ray is a bisector of an angle if and only if it splits the angle into two congruent angles.

Therefore, the correct option is D.

Answer:

d)Before cooling begins, the temperature of the water is 22°C

Step-by-step explanation:

Given equation that shows the temperature of the bowl after t minutes,

[tex]D=-\frac{7}{5}t+22[/tex]

Initially ( when ice is not placed ) t = 0,

So, the temperature of the water,

[tex]D=(0) + 22 = 22^{\circ}[/tex]

i.e. Option d) is correct.

If t = 7 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 7+22[/tex]

[tex]=-\frac{49}{5}+22[/tex]

[tex]=-\frac{49+110}{5}[/tex]

[tex]=\frac{61}{5}[/tex]

[tex]=12.2^{\circ}C[/tex]

So, the change in temperature = 12.2° - 22° = -9.8°,

Thus, option a) is incorrect.

If x = 5 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 5+22=-7+22 = 15^{\circ}[/tex]

Change in temperature = 15° - 22° = -7°,

So, Option b) is incorrect.

∵ The temperature of the ice must be less than 22°,

Thus, option c) is incorrect.

Answer:

The answer is 94.

Step-by-step explanation:

In order to determine the answer, we have to know about the mean of a group of values. When we need to calculate the mean, first we have to sum all the values. Then, we have to divide this result by the amount of datas.

In this case, we have 8 datas of differents bowling scores.

The sum of all values is:

[tex]74+88+89+95+99+100+101+106=752[/tex]

Finally, the mean is:

[tex]Mean=\frac{752}{8}= 94[/tex]

The mean for the data is 94.

Answer:

A.) After the initial fixed-rate period, your rate may increase.

Step-by-step explanation:

Due to the rate being adjustable, you may be forced to pay more than what you had originally hoped for after the fixed-rate period. This tends to usually be negative for you since you will have to pay more money, but will help you pay off the debt faster.

A concern with an adjustable-rate mortgage (ARM) is the potential increase in monthly payments over time as interest rates adjust to market rates after the initial fixed period, which can pose a cash flow problem for the homeowner.

A major concern if you have an adjustable-rate mortgage (ARM) is the potential for an increase in your mortgage payments over time. This type of mortgage allows the interest rate to vary in accordance with market interest rates, which often reflect changes in inflation. Initially, an ARM might have a lower interest rate than a fixed-rate mortgage, making it an attractive option. However, after a certain period, the interest rate may adjust based on a specific financial index, such as the U.S. Treasury Note, and can result in higher monthly payments.

In the case of a five-year ARM, for example, the mortgage might start with a lower interest rate compared to a thirty-year fixed mortgage, leading to lower initial payments. However, after the initial fixed period, the rate can adjust, potentially leading to increased payments and creating a cash flow problem for the borrower if the rates rise significantly.

Answer:

the anwser would be 12 and 168

Answer:

7 people will take 16 minutes to paint 4 walls.

Step-by-step explanation:

Since, if [tex]x_1[/tex] people take [tex]n_1[/tex] times for [tex]w_1[/tex] work and in the same kind of work [tex]x_2[/tex] people take [tex]n_2[/tex] time for [tex]w_2[/tex] work,

Then,

[tex]\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}[/tex]

Here, [tex]x_1=4[/tex], [tex]n_1=63[/tex], [tex]w_1=9[/tex],

[tex]x_2=7[/tex], [tex]w_2=4[/tex]

By substituting the values in the above formula,

[tex]\frac{4\times 63}{9}=\frac{7n_2}{4}[/tex]

By the cross multiplication,

[tex]1008=63n_2[/tex]

[tex]\implies n_2=\frac{1008}{63}=16[/tex]

Hence, 7 people will take 16 minutes to paint 4 walls.

Answer:

Michelle has a higher batting average with 0.475

Step-by-step explanation:

Batting average is equal to the number of hits divided by the number of times at bat:

First, we have to know the batting average of both players:

Eva:

Hits = 42

Times at bat = 90

Now we divide to get the batting average:

42/90 = 0.466

Michelle:

Hits = 38

Times at bat = 80

Now we divide to get the batting average:

38/80 = 0.475

Michelle has a batting average of 0.475 compared to Eva's which is a 0.466, so Michelle's has a higher batting average.

Michael made approximately $4.08 per lawn by dividing the total earnings of $159 by the total number of lawns 39 he mowed.

To find out how much Michael made per lawn, we need to divide the total amount of money he earned by the number of lawns he mowed. Michael earned $159 over the summer and mowed 39 lawns. Therefore, we calculate the earnings per lawn using the following equation:

Earnings per lawn = Total money earned \/ Number of lawns mowed

Earnings per lawn = $159 / 39

Now, let's do the calculation:

Earnings per lawn = $4.0769...

To provide an approximate value, we round the amount to the nearest cent, which gives us an answer of approximately $4.08 per lawn.

Step-by-step explanation:

if F=ma

therefore m will be equal to dividing a

f/a=m

therefore mass is force divided by acceleration.

Answer:

The capacity to acquire certain skills

Step-by-step explanation:

Answer: [tex]45781.2\text{ cm}^3 [/tex]

Step-by-step explanation:

From the given picture, the diameter of the base of cylinder = 12 cm

i.e. the radius of the cylinder =[tex]r=\dfrac{12}{2}=6\ cm[/tex]

Height = 15 cm

If the dimensions of the following cylinder are tripled, then the radius of cylinder =[tex]3\times6=18\ cm[/tex]

Height=[tex]3\times15=45\ cm[/tex]

We know that the volume of a cylinder is given by :-

[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3 [/tex]