A square has a diagonal of 10 cm. What are the lengths of the sides?

\(m=-37\) is the solution of \(34=-(m+3)\)

Solving equations involves finding the value of the unknown variables in a given equation. The condition that both expressions match is satisfied by the value of the variable. Solving a linear equation in one variable leads to a unique solution, and solving a linear equation involving two variables gives two results. Solving a quadratic equation gives two roots. Many methods and procedures are used in solving the equation.

Now according to the question which is given to us

\(34=-(m+3)\)

First, open the brackets and then shift the numerical part to one side and the unknown part to the other side:

\(34=-m-3\\37=-m\\\)

Hence \(m=-37\)

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The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.

(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.

(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.

(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.

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Answer:

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

8 - 7x = 1

- 8       - 8

-7x = -7

/-7    /-7

x = 1

1 Yes 2. Yes

Step-by-step explanation:

they are similar because in problem one each side is related by a factor of 3

in problem 2 each side is related by a factor of 2.

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

C. \(\sqrt{3x^2+21x}\)

Step-by-step explanation:

When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.

\(\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}\)

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

The measure of side a is  4.1 unit.

Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

c² = a² + b² - 2ab cos C

(c is opposite side to angle A)

In the given triangle ABC, we have sides BC = a, AB = b and AC = c

Now we know as per cosine rule for all three sides of the triangle.

c² = a² + b² - 2ab cosC

Where;  b = 9 and c = 7 degrees

Angle A = 35 degrees

Plugging these values into the equation, we have;

a² = c² + b² - 2cb cos A

a² = 9² + 7² - 2(9)(7) cos (35)

a² = 81 + 49 - 126 x (-0.9036)

a = 4.1

Therefore, the side a is 4.1 unit.

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the answer is B your welcome

Answer:

Choice D: A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit.

Step-by-step explanation:

Ok if I have to explain this, this might be the only way.

(rabbit)(rabbit)

(Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)

I know this is bad but this shows how many feet the rabbit and kangaroo had jumped. The rabbit jumps twice, but the kangaroo jumps 8 more times than the 2 times the rabbit had jumped.

Answer:

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Step-by-step explanation:

Answer:

1/8 rooms per hour

Step-by-step explanation:

We are given that Beatrice can wallpaper 1 room in 8 hours. The work rate is how many rooms Beatrice can wallpaper in one unit of time (in this case, one hour).

Another way of saying 1 room in 8 hours is 1 room/8 hours. We want to find the rate over one hour, so we want to make the denominator ( in hours) equal to 0.

With fractions, we can divide/multiply both the numerator and denominator by the same amount, and still keep the fraction. Therefore, we want to make 8 hours 1 hour by multiplication or division. Since anything divided by itself is equal to 1, we can say that 8/8 is equal to 1. Therefore, we can divide both the numerator and denominator by 8 to get

(1 room/8) = (8 hours / 8)

= (1/8 rooms) / 1 hour

Therefore, the work rate is 1/8 rooms per hour

Answer:

554923

Step-by-step explanation:

111 * 5000 + 85 - 6/2 * 54

555000 + 85 - 3 * 54

555000 + 85 - 162

554923

predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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When the given equation is solved using the system of substitution the following values are gotten: y = 7 and X = 2

Substitution system is the method used in solving a mathematical expression whereby a variable is being solved and it's been placed into another equation to derive the missing answer.

The equations given above are;

y- 3x = 1 ---------> equation 1

2y -x = 12 --------> equation 2

Make y the subject of formula in equation

y = 1 + 3x

Substitute y = 1 + 3x for y in equation 2;

2(1 + 3x ) - x = 12

2 + 6x - X = 12

5x = 12-2

5x = 10

X = 10/5 = 2

Then substitute X= 2 into equation 2 to find y;

2y - 2 = 12

2y = 12 + 2

2y = 14

y = 14/2

y = 7

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There are 11 letters in the word mathematics. The probability of selecting the letter "e" first is 1/11, which is approximately 0.091 in decimal form when rounded to the nearest thousandth.

This is because there is only one "e" in the word mathematics, and we are selecting one letter out of the 11 total letters.

To find the probability that the first letter is "e" in the word "mathematics," follow these steps:

1. Count the total number of letters in the word: There are 11 letters in "mathematics."

2. Count the occurrences of the letter "e": There is 1 "e" in "mathematics."

3. Calculate the probability: Divide the occurrences of "e" by the total number of letters.

Probability = (Occurrences of "e") / (Total number of letters) = 1 / 11

In decimal form and rounded to the nearest thousandth, the probability that the first letter is "e" in the word "mathematics" when arranged randomly is approximately 0.091.

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The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.

 Speed.

It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.

Here,

The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.

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Answer:

See below.

Step-by-step explanation:

A. The angles 7 & 8 are vertically oppostie angles (V.O.A) & since they share the same vertex caused by the intersection of lines C & D, they'll have the same angle too.

B. Special angles caused by the intersection of lines C & D will have the same value as they are V.O.As & share the same vertex. Hence, to solve for y, the equation will be =》 5y - 29 = 3y + 19

C. Solving for y,

5y - 29 = 3y + 19

5y - 3y = 19 + 29

2y = 48

y = 48/2

y = 24

Since, angle 7 & 5y - 29 are linear pairs,

angle 7 = 180 - (5(24) - 29)

angle 7 = 180 - (120 - 29)

angle 7 = 180 - 91

angle 7 = 89°

Similarly, angle 8 & 3y + 19 are linear pairs,

angle 8 = 180 - (3(24) + 19)

angle 8 = 180 - (72 + 19)

angle 8 = 180 - (91)

angle 8 = 89°

•°• Hence, we also proved that angle 8 & 7 are V.O.As.

_________

hope this helps!

Answer:

the answer is -101

Step-by-step explanation:

hope this helps

Answer: 200 pi

Step-by-step explanation:

A=9, B=5 and D=7 are the correct options.

In the *Geometry*, a *triangle* is a closed 2-dimensional figure with 3 angles, 3 sides and 3 vertices. Triangles are considered as a *polygon* with the least number of sides.

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

AAAAAA. 9 it is true

B.5   it is true

C.17   This is clearly false, since it doesn't satisfies inequality third.

D.7   it is true

EE. 3  it is not true since it doesn't satisfies second inequality.

F.11 This is clearly false, since it doesn't satisfies inequality third

Hence, The correct answer of the given question is A,B and D.

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Answer:

\(a_{n}\) = 25+(-4)(n-1)

Answer:

an = 25+(-4)(n-1)

Step-by-step explanation:

The vertex is (3,147), which means that the final answer is that the maximum height of the ball is 147 feet.

What is function ?

The first thing to recognize here is that the graph of your function is a parabola. You can tell it opens downward, as the coefficient in-front for the t^2 term is negative. That means our parabola's vertex will be the maximum y-value (vs the vertex being the minimum y-value if the parabola opened up). This is what we are trying to solve - the maximum height of the ball.

For a parabola, y = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation h = -b / 2a, and then plugging that point into the equation to find k.

So let's solve for h in this problem.  Given the equation y = -16t^2 + 96t + 3, we know a = -16, b = 96, c = 3.

h = -b/2a

h = -(96) / 2(-16)

h = -96 / -32

h = 3 seconds

This means the the ball will reach it's maximum height after 3 seconds. But the problem is asking is for what that height is. So for our final step, let's plug in t=3 to our equation:

y = -16t^2 + 96t + 3

y = -16*(3)^2 + 96*(3)+ 3

y = -144 + 288 + 3

y = 147 feet

We have now found the vertex is (3,147), which means that the final answer is that the maximum height of the ball is 147 feet.

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Answer:

12.25 \(\leq\) x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

Answer:

No

Step-by-step explanation:

I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.

Answer:

y= 3x +2

Step-by-step explanation:

-10x-30y = 6

-30y = 10x +6

y = -1/3x - 1/5

m = -1/3 perpendicular slope would be 3

2x+9y = 18

2(0) +9y = 18

y = 2 = y intercept

y = 3x +2