Which graph shows the solution to this system of inequalities? 3x - y < 5 and x + y > 2( PLEASE HELP!! )

Answer:

\(26 > c > 58\)

Step-by-step explanation:

Given

\(a,b =42; 16\) --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

\(a + b < c\)

\(a + c < b\)

\(b + c < a\)

So, we have:

\(42 + 16 < c\)

\(16 + c < 42\)

\(42 + c < 16\)

This gives:

\(58 < c\)

\(c < 26\)

\(c<-26\)

The usable inequalities are:

\(c < 26\) and \(58 < c\)

Rewrite:

\(c < 26\) and \(c > 58\)

So, the inequality is:

\(26 > c > 58\)

Answer:

The correct option is the 3rd one

angle 1 = angle 4 = angle 5 = angle 8 = 60 degrees,

angle 2 = angle 3 = angle 6 = angle 7 = 120 degrees

Step-by-step explanation:

To solve this, we only need to look at the top two angles, 1 and 2

Since line l is a line, angle 1 and 2 must sum to 180,

Since angle 1 = 60 degrees, then,

angle 1 + angle 2 = 180

60 + angle 2 = 180

angle 2 = 120 degrees

the only option that corresponds to this is the third option,

angle 1 = angle 4 = angle 5 = angle 8 = 60 degrees,

angle 2 = angle 3 =

Answer: Tbh i don’t know anything besides that all the angles are equal to another and you have to prove it. I would just say: “90 degrees = 90 degrees

Sorry mate I can’t help

Step-by-step explanation:

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

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Answer:

k = 18°

Step-by-step explanation:

the upper right interior angle of the triangle and 81° are alternate angles and are congruent

upper right interior angle = 81°

since the 2 legs of the triangle are congruent then the triangle is isosceles with base angles being congruent , so

lower right interior angle = upper right interior angle = 81°

the sum of the 3 angles in the triangle = 180° , that is

k + 81° + 81° = 180°

k + 162° = 180° ( subtract 162° from both sides )

k = 18°

Answer:

Step-by-step explanation:

If the other two angles of the triangles are 81 ( isoceles triangle ) then 180 - 81 - 81 = 18

Answer:

f=−47/3. Is that right

The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.

Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created  by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.

Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.

Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

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Answer:

B g(x)= 1/3x^2

Step-by-step explanation:

In this question, we have that:

\(f(x) = x^2\)

So, when \(x = 3, f(x) = f(3) = 3^2 = 9\)

What is g(x)?

We have that \(g(x) = 3\), when \(x = 3\)

\(\frac{3}{9} = \frac{1}{3}\)

This means that g is a third of f, and the correct answer is given by option B.

It is not d because the paranthesis is elevated, which means that (1/3)^2 = 1/9,

A petition is just a formal request outlining the grounds for requesting a court order. It is often the first stage of a lawsuit and can be filed by an individual, a group, or an institution.

A petition is a formal letter or written request asking someone or an organization to take a certain action or make a certain change.

The petition is typically signed by a number of people who agree with the subject or problem being raised.

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Answer:

I really hope this helps :), 68

1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

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Answer:

i got the answer i put a picture below

Step-by-step explanation:

Answer:

48

Step-by-step explan48ation:

add all four sides

The equation of the lines are given by the points on the line from which

the slope and y-intercept are determined.

Responses;

1. y = -6·x - 23

2. \(\underline{y= \frac{4}{3} \cdot x + \frac{2}{3}}\)

3. \(\underline{y = 9 - \dfrac{x}{2}}\)

4. y = 9 - x

5. a) \(\underline{V = 30 - \dfrac{1}{21} \times D}\)

b) 315 miles

6. a) \(\underline{D = 2 + \dfrac{3}{4} \cdot n}\)

b) Mikayla will not be ready for the marathon in 12 weeks

1.  Slope = -6, passes through (-4, 1)

The point and slope form is; y - 1 = -6·(x - (-4))

Which gives;

y = -6·(x - (-4)) + 1 = -6·x - 24 + 1 = -6·x - 23

2. Slope = \(\frac{4}{3}\); passes through (-5, -6)

The point and slope form is therefore;

y + 6 = \(\mathbf{\frac{4}{3}}\)·(x + 5)

y = \(\frac{4}{3}\)·(x + 5) - 6 = \(\frac{4}{3} \cdot x + \frac{20}{3} - 6 = \mathbf{\frac{4}{3} \cdot x + \frac{2}{3}}\)

Which gives;

3. Points on the line are; (-4, 11) and (2, 8)

\(Slope = \dfrac{8 - 11}{2 - (-4)} = \dfrac{-3}{6} = -\dfrac{1}{2}\)

The equation is therefore;

\(y - 8 = -\dfrac{1}{2} \cdot (x - 2) = 1 - \dfrac{x}{2}\)

\(y = 1 - \dfrac{x}{2} + 8 = \mathbf{9 - \dfrac{x}{2}}\)

4. The points are; (6, 3), (14, -5)

\(Slope = \dfrac{-5 - 3}{14 - 6} =-1\)

Equation: y - 3 = -1·(x - 6)

y = 6 - x + 3 = 9 - x

5) Volume of gas tank = 30 gallon

Distance Troy's truck gets per gallon = 21 miles

a) The equation representing the amount of gas in in Troy's truck, V, is

presented as a linear equation as follows;

The slope of the equation is the number of gallons per mile = \(-\frac{1 \, gallon}{21 \, mile}\)

The slope is negative given that the gas in the tank is reducing.

The y-intercept is the amount of gas initially in the tank = 30 gallons

b) Given that the tank is half full, we have;

Volume of gas in the tank = \(\dfrac{30 \, gallons}{2}\) = 15 gallons

Which gives;

\(15 = \mathbf{ 30 - \dfrac{1}{21} \times D}\)

Therefore;

D = 315

6. a) The initial distance Mikayla is able to run = 2 miles

The distance by which the distance is increased each week = Three-quarters of a mile.

The equation is therefore;

Where;

D = The distance Mikayla runs

n = Number of weeks

b) The distance of the half marathon = 13.1 miles

Time at which the marathon takes place = In 12 weeks time

The distance Mikayla will be able to run in 12 weeks is given by

plugging in 12 in the given equation as follows;

\(D = 2 + \dfrac{3}{4} \times 12 = \mathbf{ 11}\)

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Answer:

6

Step-by-step explanation:

so 6 times 10 equals 60, 60 times 6 is 360 so there you go  

Answer:

The answer is "Option a".

Step-by-step explanation:

In the question, Option a is correct, because in this choice, Let x determine its amount of pupils hired and the point y is let as it's mean that it is the number of experts who recruited in the researcher, and description of the choice can be defined as follows:

\(Min C = 246x + 407y; \\\\s.t \ 30 x + 12 y \geq 163, \\\\10x + 28y \geq 131, \\\\x \geq 0, \\\\y \leq 0\\\\\)

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

According to the informations,  there are 7 different ways a committee of six people can be selected from a group of seven candidates.

In this case, we must use the combination formula, which is expressed by:

Where n is the total number of items in the set, r is the number of items being selected, and ! denotes the factorial function, which means multiplying a number by all the positive integers less than it.

Therefore, from a group of 7 candidates, a committee of 6 people can be selected in 7 different ways using the combination formula. The formula for the combination of n objects taken r at a time is C(n,r) = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects to be chosen. In this case, we have n = 7 and r = 6, so the formula gives us C(7,6) = 7!/6!(7-6)! = 7 ways.

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The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)

From the first two inference, it takes her phone 1 minute to charge 2% i.e 1 minute of charge = 2% of battery.

Therefore; charging from scratch,

1 min = 2%

x mins = 50%.

using cross multiplication,

x mins = (50% × 1 min) ÷ 2%.

x = 25 mins.

For 90%, applying the same formula,

y min = (90% × 1 min) ÷ 2%

y = 45 mins.

So from zero percent, it will take Dana's phone 25 minutes to charge to 50% and 45 minutes to charge to 90%.

Answer:

12.3???

Step-by-step explanation:

i think... tell me if im wrong

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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