The set of numbers 1 7 11 and 36 contains values for m what value of m makes the inequality 4m + 8 < 36 true

Answer:

1024

Step-by-step explanation:

\( S_r = 2^r \)

For the 10th row, r = 10.

\( S_{10} = 2^{10} \)

\( S_{10} = 1024 \)

Answer:

A= 33 and B = 18

Step-by-step explanation:

B that is equal to 11:5. We can multiply both quantities of this proportion by some number to find two values that satisfy A - B = 18.

The simplest case would be to think A = 11 and B = 5, but 11-5 is not equal to 18 ⇒ 11 - 5 = 6  which does not satisfy A - B = 18.

Another option to find an answer is to multiply the ratio by two: 2 (11: 5) = 22:10, but it turns out that is A = 22 and B = 10 ⇒22-10 is not equal to 18 either.

Thus we arrive at the one that is the correct answer, multiplying the proportion by three: 3 (11: 5) = 33 - 15, and in this case we would have A = 33 and B = 15, which meets the condition A - B = 18, because 33 - 15 = 18

Answer:

i don"t know ask your mom

Answer:

\((9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26\)

Answer:

9.5

Explanation:

1 pint is 0.5 of a quart so if you multiply 0.5 by 19 it will be 9.5 quarts. Hope this helps..

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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156.12 if using pi

150.8 if using π

Answer:

The student didn't fully factorize out the terms to the least factor. He only collected some like terms but there was still more to collect and that's why the Teacher didn't give him full credit

Step-by-step explanation:

The original polynomial is;

4x²y^(5) - 8xy³

Now, if we want to completely factor this properly, we have to do it to the barest minimum.

Thus;

4xy³ is common to both terms so we can bring them out;

4xy³(xy² - 2)

Now this complete factorization is different from the one the student gave which is 2xy³(2xy³ - 4)

Thus, the student at best has factorized but only partly as it has not been reduced to the least of like terms.

Answer: x=4

Step-by-step explanation:

\(3x-5=7\)   Move the constant to the right

\(3x=7+5\)   Calculate

\(3x=12\)        Divide both sides

\(x=4\)

Please mark brainliest if this helped :)

Answer:

4

Step-by-step explanation:

3x-5 = 7

3x = 12

x = 4 Please mark the brainiest please thank you

=)

Answer:g(x)

Step-by-step explanation:1/5 g (x)

The solution is, the value of JL = 15.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Two similar triangles, ∆ABC and ∆JKL are shown.

so, from the diagram we get,

BC/KL = AB/JK = AC/JL

so, 1/3 = AC/JL

or, JL  = 3 * 5

or, JL = 15

Hence, The solution is, the value of JL = 15.

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Answer:

x=2

AB=8

BC=8

AC=16

Step-by-step explanation:

7x-6=12-2x

7x+2x=12+6

9x=18

x=2

AB=7x-6=7(2)-6=14-6=8

BC=12-2x-12-2(2)=12-4=9

AC=8+8=16

Answer:

Each length of the wood is 9.6

Answer:

600 mm

Step-by-step explanation:

2.4 m to cut into 4 equal parts

= 2400 / 4

= 600 mm

The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

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--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--

The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

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The probability θ of teen recidivism based on a study is: the posterior mean is 0.3208. Mode is 0.313 and the standard deviation of the probability estimate is 0.0635.

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how probable occurrences are to occur, probability has been introduced in mathematics. The degree to which something is likely to happen is essentially the definition of probability. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment.

The posterior mean is given as:

E [Theta| y] = (a + y) / (a + y) + (b + n - y) = 17 /53 = 0.3208.

The mode for the estimate is:

Mode =  (a + y - 1) / (a + y - 1) + (b + n - y -1) = 16/51 = 0.313.

The standard deviation is:

√ (a + y) (b + n - y) / [(a + y) + (b + n - y)]² [(a + y) + (b + n - y) + 1] =  √17(36) / 53(53) (54) = 0.0635.

The plot of the functions are as shown.

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The complete question is:

Answer:

x=9/7

Step-by-step explanation:

14x+3=21

14x=21-3

14x=18

14x/14=18/14

x=9/7

14(9/7)+3=21

2*9+3=21

18+3=21

21=21

if you have any question about this you can ask me

Answer:

B.

Step-by-step explanation:

x^4

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\((x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4\)

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

The equation of the perpendicular line is:

y = (-1/13)*x - 87/13

For a general linear equation:

y = a*x + b

Another linear equation that is perpendicular to the above one is given by:

y = (-1/a)*x + c

Where a, b, and c are real numbers.

In this case, we want to find a perpendicular line to:

y = 13*x - 2

Then it will be something like:

y = (-1/13)*x + c

To find the value of c, we use the fact that it must pass through the point (4, -7), then:

-7 =  (-1/13)*4 + c

Now we can solve that for c:

-7 + 4/13 = c

-87/13

Then the linear equation is:

y = (-1/13)*x - 87/13

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Answer:

- 1

Step-by-step explanation:

Using the trigonometric identity

cos(- x) = cosx and exact value cos60° = \(\frac{1}{2}\)

Given

f(x) = - 2cosx , then

f(- 300° )

= - 2cos(- 300)°

= - 2cos(300)°

= - 2cos(360 - 300)°

= - 2cos60°

= - 2 × \(\frac{1}{2}\)

= - 1

Answer:

Please see detailed explanation below.

Step-by-step explanation:

1.  The slope of the best-fit line tells us how the dependent variable (y) changes for every 1 unit increase in the independent (x) variable, on average.

The slope of a line is a value that describes the rate of change between the independent and dependent variables. The slope tells us how the dependent variable (y) changes for every 1-unit increase (or decrease) in the independent (x) variable, on average.

In the given problem, what the slope represents is that the monthly heating bill decreases by 2.2 for every increase in average temperature. This makes sense because as the temperature rises, the monthly cost for the heating bill should decrease because you don't need as much heating when the average temperatures are higher.  

2. The national weather service estimates that the average temperature for next month will be 55 degrees. Estimate the monthly heating bill for this month. Is this estimate reasonable? Explain your reasoning.

Since the national weather service estimates that the average temperature for next month will be 55°F, then we can plug this value in the given equation:

y = -2.2x + 210  

y = -2.2(55°) + 210

y = -121 + 210

y = 89

Therefore, the predicted heating bill for next month will be $89.  

The estimate seems reasonable because 55°F is within the domain of the observed x values in the data. Also, in looking at the plotted points on the scatter plot. there is a point where it is close to what we solved here in question #2 (55°F, $89).  

3. What is the y-intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain your reasoning

The y -intercept is the point where the graph crosses the y -axis (it is the value of y when x = 0). The y-intercept of the given model is 210. This represents the flat heating fee or cost for a month when the average temperature is 0°F. In the context of the given problem, I think that a y-intercept value of 210 is quite reasonable because households use more heating in colder temperatures, let alone when the average temperature is 0°F.  

Answer:

$16.60

Step-by-step explanation:

4 x 0.85 = $3.40

20 - 3.40 = 16.6

Dave should get back $16.60 in change.

Answer:

$16.6 dollars back

Step-by-step explanation:

The answer is $16.6 because 0.85 times 4 is 3.4 and 20 minus 3.4 is 16.6

Answer:

The sample mean for survey 1 is $1.69.

Step-by-step explanation:

I just did this on edmentum plato.

Given:

\(\dfrac{5}{6+2i}\)

To find:

The  quotient in the form a + bi.

Solution:

We have,

\(\dfrac{5}{6+2i}\)

Multiply numerator and denominator by 6-2i.

\(=\dfrac{5\times (6-2i)}{(6+2i)\times (6-2i)}\)

\(=\dfrac{5(6)+5(-2i)}{6^2+(2i)^2}\)

\(=\dfrac{30-10i}{36+4i^2}\)

\(=\dfrac{30-10i}{36+4(-1)}\)    \([\because i^2=-1]\)

On further simplification, we get

\(=\dfrac{30-10i}{36-4}\)

\(=\dfrac{30-10i}{32}\)

\(=\dfrac{30}{32}-\dfrac{10i}{32}\)

\(=\dfrac{15}{16}+(-\dfrac{5}{16})i\)

Therefore, the form a+bi is \(\dfrac{15}{16}+(-\dfrac{5}{16})i\), where, \(a=\dfrac{15}{16}\) and \(b=(-\dfrac{5}{16})\).

Using proportions, it is found that Chidi should order 160 chairs.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, we have that:

Hence the number of chairs is given by:

8 x 5 x 4 = 160 chairs.

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The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.

Let's call the measures of the angles in the triangle x, x, and 2x. Then,

x + x + 2x = 180 degrees,

so 4x = 180 degrees, and

x = 45 degrees.

The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.

So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

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The three consecutive integers whose sum is 201 are 66, 67, and 68.

Let's assume the first integer as x. The second consecutive integer would be (x + 1) and the third consecutive integer would be (x + 2).

According to the problem, the sum of these three consecutive integers is 201.

So, we can write the equation as:

x + (x + 1) + (x + 2) = 201

Now, let's simplify the equation and solve for x:

3x + 3 = 201

Subtracting 3 from both sides:

3x = 198

Dividing both sides by 3:

x = 66

Therefore, the first integer is 66.

The second integer would be (66 + 1) = 67.

The third integer would be (66 + 2) = 68.

Thus, the three consecutive integers whose sum is 201 are 66, 67, and 68.

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