which of the following is a linear equation

Answer:

Step-by-step explanation:

663.98

Answer: 663.98

Step-by-step explanation:

(8.42*109)=917.78

(2.35*108)=253.8

917.78-253.8=663.98

The length of the square, given the height of the King, can be found to be 1.25 inch.

The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.

If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height

Solving gives us:

= (2 . 25 x 2 . 5 ) / 4.5

= 5.625 / 4. 5

= 1.25 inches

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The hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the defective sets.

As per the stated question.

You can select five television from a possible twelve in the sample space.

To acquire at least 2 faulty, therefore:

¹²C₅ = 12!/(7!)(5!) =12*11*10*9*8/(5*4*3*2*1)

¹²C₅ = 11*9*8

Obtaining two or three defective items. (At least 2).

2 defective items are-

(³C₂)(⁹C₄) = 3*9*8*7*6/(4!)

(³C₂)(⁹C₄) =9*7 =63

Three defective items equal -

(³C₃)(⁸C₂) = 1*8*7/2!

(³C₃)(⁸C₂) = 56

Total defective items is 63+56= 119 ways.

Probability = 119/(11*9*8)

Probability = 119/792

Thus, a hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the flawed sets.

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Answer:34?

Step-by-step explanation: not too sure but yeah

The extrema of the quadratic equation is at the vertex, and it is a minimum at:

y = -1.75

Here we have the following quadratic equation:

y = 3x^2 - x - 2

We can see that the leading coefficient (the coefficient in the term with the largest exponent) is positive, this means that the parabola opens upwards.

This means that the vertex of the quadratic equation will be a minimum.

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

The vertex is at:

x = -b/2a

So for our quadratic, the vertex is at:

x = -1/(2*3) = -1/6

Evaluating the quadratic equation there we get:

y = 3*(-1/6)^2 - (-1/6) - 2

y = -1.75

That is the minimum of the quadratic.

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Using the properties of conditional statements we can write the inverse of the statement as ": if the 2 smallest sides sum is not larger than the 3rd side, then it is not a triangle."

The statement  is given as if the sum of two sides is greater than the third side then it is a triangle.

Now for the inverse we have to convert the given line into double negative.

Hence we get:

If the 2 smallest sides sum is not larger than the 3rd side, then it is not a triangle

Conditional statements are part of mathematical reasoning, a vital skill that enables students to evaluate a given hypothesis without reference to a particular context or meaning. Simply put, when a scientific research or allegation is studied, the logic isn't truly founded on an individual's perspective. Deductions and evidence must have factual and scientific foundations.

the various types of conditional statements are:

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Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

Answer:

that's biology but

Step-by-step explanation:

autotrophs make their owner food

heterotrophs can't make their own food

photosynthesis is the 3rd one

photosynthesis happens in the chloroplast

photosynthesis makes glucose

I can go in depth about any of these, ask me if needed

Based on the real number line shown below, each statement should be completed as follows:

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;

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The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.

The point (3, 5) is the vertex of the graph, therefore:

(h, k) = (3, 5)

Plug in h = 3 and k = 5 into, y = a|x – h| + k:

y = a|x - 3| + 5

Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

2 = 2a [subtraction property]

1 = a [division property of equality]

a = 1

Substitute the value of a into the equation y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the graph].

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Answer: (0,-2)

Step-by-step explanation: just multiply

Answer:

1/3

Step-by-step explanation

We can immediately tell the y-intercept is 1/3.

Slope intercept form:

y = mx + b

m = slope

b = y-intercept.

Answer: the y - intercept is 1/3

Step-by-step explanation: trust

Answer:

1. y=2x+4

2. y=x

3. y=-1/2x+1

4. y=-x+1

Step-by-step explanation:

the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.

Equation of line in slope-intercept form is [tex]y = (\frac{1}{3})x + 2[/tex].

Given in graph,

A(0,2) and B(3,3)

Slope-intercept form => y = mx + c

Slope, m = [tex]\frac{y2-y1}{x2-x1}[/tex]

               = [tex]\frac{3-2}{3-0}[/tex]

               = [tex]\frac{1}{3}[/tex]

Therefore, y = (1/3)x + c

Put A(0,2) in above equation

2 = (1/3)*0 + c

2 = c

Hence, y = (1/3)x + 2.

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Answer:

An example would be y = -x.

Step-by-step explanation:

Since the y-intercept is 0, we don't have to write it out. The slope has to be negative, so I chose -1 as the slope. We don't have to write 1 when we use it as a coefficient, so that is why I wrote it as -x. Now to put it all together in slope intercept form, we get y = -x.

Hope this helps.

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The total Area the design is 8 square cm.

Area of rectangular design is product of length and breadth of rectangular design.

In the given question we have,

Rectangular design is made up from 6 squares .

there is 2 small squares surrounded by 4 large squares.

Area of each small square = 1 sq.cm

let the length of rectangular design be l cm

and breadth is b cm.

Area of rectangular design= l×b sq.cm

from the given statement, we can see that side of small square is 1 cm and small squares surrounded by 4 large squares i.e side of large square is sum of side of small squares or 2cm .

Also , length of rectangular design is sum of sides of two large squares and breadth is same as side of one large square.

so, length of rectangular design= 4 cm

breadth of rectangular design= 2cm

Area of rectangular design= 4×2 = 8sq. cm

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The value of the variables x and y in each figure are 28 and 46.3 respectively.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Therefore,

5x + 40 = 180,

5x = 180 - 40

5x = 140

x = 28

Also,

(3y-1 ) and 40 are corresponding angles, thus

40 + 3y - 1= 180 ,

3y = 180 - 40 + 1

3y = 139

y = 46.3

Thus, the value of the variables x and y in each figure are 28 and 46.3 respectively.

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Answer:

Common side: UV

Step-by-step explanation:

The values of x after applying congruency to solve the complete shape is 3.5.

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. The symbol to represent two congruent shapes is ≅.

To calculate the values of x in the diagram, we need to first join point Q to point H and point G to form ΔQHG also, we join point Q to point E and point F to form ΔQFE.

Comparing ΔQHG and  ΔQFE, we can deduce that

Therefore,

Hence, the values of x in is 3.5.

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One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.

A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.

The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.

The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.

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The argument against the conjecture The area of a rectangle with a perimeter of 40 units must be at least one square unit. A rectangle with dimensions of 19.99 units long and 0.1 units wide has a 40 unit perimeter and an area of 0.1999 square units.

acc to our question-

The goal of the inquiry is to illustrate any potential connections between a rectangle's perimeter and area.

The counterexample presented dimensions that revealed the perimeter, which is 40, but omitted to provide the area, which is 1 square unit.

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There should be 12 emails total.

7.200 and 2.683 are the variance and standard deviation, respectively.

Calculation of expected number of emails, variance and standard deviation:

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Answer: -62.5

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Step-by-step explanation:

Considering the expression in this problem, it is found that:

a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).

b) The expression would be of: C(f) = 15f + 0.096(15f).

The expression for the total cost in this problem is presented as follows:

C(f) = 14f + 0.096(14f).

The meaning of each term is given as follows:

If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:

C(f) = 15f + 0.096(15f).

That is, the two instances of 14 in the equation were replaced by 15.

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Answer:

D

Step-by-step explanation:

f(-5) = 2|-5-5|

f(-5) = 2|-10|

f(-5) = 2 * 10

f(-5) = 20

f(0) = 2|0-5|

f(0) = 2|-5|

f(0) = 2 * 5

f(0) = 10

Answer:58

Step-by-step explanation:

The given alternate possible way given in the question is not good as the sample does not follow the conditions of the definition of SRS in the study.

SRS is a group or sample size of "n" objects in a population of "n" objects in which all the possible samples would have equal chances to occur or happen.

In the alternate case, There 200 trees sample is taken from near the highway, that can have fewer chances to be infected or can have more infected.

The fact that the sample was not taken randomly and has not been selected in such a way that each tree has equal chances to happen.

Hence we get the required answer.

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Answer:

-15, 9

Step-by-step explanation:

Substituting into the distance formula,

[tex]\sqrt{(6-3)^2+(-1-3)^2+(-3-z)^2}=13 \\ \\ \sqrt{25+(3+z)^2}=13 \\ \\ 25+(3+z)^2=169 \\ \\ (3+z)^2=144 \\ \\ 3+z=\pm 12 \\ \\ z=-3 \pm 12 \\ \\ z=-15, 9[/tex]

Answer:

a. its a prime number cuz as far as ik 67 has one factor 67x1

Answer:

Number 67 is prime because it doesn't have proper factors. In other words, the only factors of 67 are 1 and itself

Answer:

x< -1

Step-by-step explanation:

x^3 < 9 - 10

x^3 < -1

x< -1

Answer:

x < -1

Step-by-step explanation:

x³<9-10

x³<-1

x < -1

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