4b - 5 + (-a-3) i = 7 * 8i

Answer:

y = -3x - 1

Step-by-step explanation:

pass (-2,5) (0,-1) (1,-4)

use any two points to find the equation

slope (m) = (-1 -5)/(0- -2) = -6/2 = -3

y = mx+b     b: y intercept=-1

equation: y = -3x - 1

The study conducted by the researcher suffers from several limitations, including the absence of a control group, small sample size, participant bias, and experimenter bias. Furthermore, the sample selection is inadequate, as all the participants are students of one course in a single university.

Moreover, the study fails to account for extraneous variables that might affect the results. Therefore,  that textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. T he study is flawed, and more research is needed to assess the effect of textbooks on learning.

The study conducted by the researcher suffers from several limitations. First, there is no control group, which makes it difficult to determine whether the results are due to the absence or presence of the textbook. Second, the sample size is small, which reduces the generalizability of the findings.

Third, there is participant bias, as some students might have bought the textbook even though it was optional, while others might not have bought it even though it was required. Fourth, there is experimenter bias, as the professor who scored the essays knew which section had the textbook and which did not.

Fifth, the sample selection is inadequate, as all the participants are students of one course in a single university. Moreover, the study fails to account for extraneous variables that might affect the results, such as the students' prior knowledge, motivation, and study habits.

Therefore, the  textbooks are not necessary or helpful for learning is premature and cannot be generalized to other courses or universities. The study is flawed, and more research is needed to assess the effect of textbooks on learning.

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Answer:

Step-by-step explanation:

Solution,

Given ratio=2:3

Boys & girls=15:45=15/45=1/3=1:3

Since, 2:3≠1:30. Hence given rations are not in proportion

Answer:

20

step by step explanation:

Answer:

20

Step-by-step explanation:

mark me brainliest pls and thx

Answer:

100

Step-by-step explanation:

add all the number together 3 + 4 + 2 +1=10

250/10=25

then times 25 with the 4 number at the top

25 times 4 =100

so there is 100 blue pencils

Answer:

Ummmm... Both?

Step-by-step explanation:

66k+9 OR 3(22K+3)

Answer:

k>10

k>-4

Step-by-step explanation:

-10k<-100

k>10

you flip the sign when dividing by a negative

-8k<32

k>-4

The value of the sixth term of the sequence will be negative 64.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

If the first term (a₁) is 2 and the relation is aₙ = -2aₙ₋₁.

The second term is given as,

a₂ = -2a₂₋₁

a₂ = -2a₁

a₂ = -2 x 2

a₂ = - 4

The third term is given as,

a₃ = -2a₃₋₁

a₃ = -2a₂

a₃ = -2 x ( - 4)

a₃ = 8

The fourth term is given as,

a₄ = -2a₄₋₁

a₄ = -2a₃

a₄ = -2 x 8

a₄ = - 16

The fifth term is given as,

a₅ = -2a₅₋₁

a₅ = -2a₄

a₅ = -2 x (- 16)

a₅ = 32

The sixth term is given as,

a₆ = -2a₆₋₁

a₆ = -2a₅

a₆ = -2 x 32

a₆ = - 64

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Answer: -64

Step-by-step explanation:

Given

Height of tank = 4 ft

Diameter = 2.2 ft

Gas is poured into the tank at a rate of 1.5 ft per minute.

Find

time taken to fill the empty tank.

Explanation

volume of cylindrical tank is given by

r = d/2 = 2.2 /2 = 1.1 ft

so ,

gas is poured at the rate of 1.5 ft per minute.

so ,

time taken to fill the empty tank =

Final Answer

Hence , the time to fill the empty tank is 10.1 minutes

The correct option is (B) generated randomly from probability distributions.

The values for random variables in a Monte Carlo simulation are generated randomly from probability distributions.

A frequency distribution that has been idealized is a probability distribution. An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample.

A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution is a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum possible values, but the location of the possible value on the probability distribution will rely on a number of other variables.

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Answer:

linear combination should be the right answer

Answer:

Substitution

Step-by-step explanation:

Therefore, the volume of the solid bounded by the coordinate planes and the plane 5x + 3y + z = 15 is 112.5 cubic units.

To find the volume of the solid bounded by the coordinate planes (x = 0, y = 0, z = 0) and the plane 5x + 3y + z = 15, we need to determine the limits of integration for each variable.

First, let's rearrange the equation of the plane to isolate z:

z = 15 - 5x - 3y

Now, we can express the limits of integration for x, y, and z:

For x, since the solid is bounded by the coordinate plane x = 0 and the plane 5x + 3y + z = 15, we have 0 ≤ x ≤ 3 (by solving 5x + 3y + z = 15 for x when y = 0 and z = 0).

For y, the solid is bounded by the coordinate plane y = 0 and the plane 5x + 3y + z = 15, so 0 ≤ y ≤ 5 (by solving 5x + 3y + z = 15 for y when x = 0 and z = 0).

For z, we have 0 ≤ z ≤ 15 - 5x - 3y (from the equation of the plane).

Now we can set up the triple integral to calculate the volume:

V = ∫∫∫ dV

Integrating over the limits of x, y, and z:

V = ∫[0 to 3] ∫[0 to 5] ∫[0 to 15 - 5x - 3y] dz dy dx

Integrating the innermost integral:

V = ∫[0 to 3] ∫[0 to 5] (15 - 5x - 3y) dy dx

Integrating the second integral:

V = ∫[0 to 3] [(15y - (3y^2)/2 - 5xy)] [0 to 5] dx

Simplifying:

V = ∫[0 to 3] [(75 - 15x - (15x^2)/2 - 25x)] dx

Integrating the final integral:

V = [75x - (15x^2)/2 - (15x^3)/6 - (25x^2)/2] [0 to 3]

V = (753 - (153^2)/2 - (153^3)/6 - (253^2)/2) - (750 - (150^2)/2 - (150^3)/6 - (250^2)/2)

V = (225 - 135/2 - 135/2 - 225/2) - 0

V = 225 - 135/2 - 135/2 - 225/2

V = 225 - 135 - 135/2

V = 225/2 - 135

V = 112.5

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Step-by-step explanation:

u vector components:

x-comp = 8 - (-17) = 25

x-comp = -11 - 4 = -15

Therefore, we can write vector u as

u = 25i - 15j

v = 14i - 4j

u - v = 11i - 11j

Therefore,

2(u - v) = 22i - 22j

Answer:

-3v + 24

Step-by-step explanation:

-3(v - 8)

-3v + 24

you cannot simplify this expression any further

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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Answer:

No

Step-by-step explanation:

The input to a function which is the domain of the function is the x-variable or independent variable, while the output of a function which is the range of the function is the y-variable or dependent variable

In the given function, the outputs or the ranges of the function for the input of piece with x-values -3 ≤ x ≤ -8 completely overlaps the ranges for the piece with x-values 1 < x ≤ 3, therefore, both ranges can be represented by a single shaded region, giving a total of two shaded regions.

The function on the left of the graph should have two shaded regions for its range because the range of the two functions overlaps. Therefore, no the claim of Zeke is incorrect.

Given :

The graph shows the piece-wise function.

The following steps can be used to determine that the Zeke claims is correct or not:

Step 1 - The domain of the graph of the function present in the third and fourth quadrant is:      

\(-8\leq x \leq -3\)

Step 2 - The domain of the graph of the function present in the second quadrant is:

\(-2< x < -1\)

Step 3 - The domain of the graph of the function present in the first quadrant is:

\(1< x\leq 3\)

The function on the left of the graph should have two shaded regions for its range because the range of the two functions overlaps. Therefore, no the claim of Zeke is incorrect.

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Both the empty set (∅) and singleton sets are considered connected. The empty set is connected by definition, and a singleton set is connected because it cannot be divided into two non-empty open sets.

The statement that empty sets and singletons are always connected is true. Let's prove it for both cases:

1. Empty Set (∅):

The empty set (∅) is considered connected by definition. A set is said to be connected if there are no two non-empty open sets whose union is the set and whose intersection is empty. Since the empty set does not contain any elements, there are no open sets to consider, and thus it satisfies the definition of connectedness. In other words, there are no non-empty sets to separate the empty set, making it connected.

2. Singleton Set ({x}):

A singleton set, which contains only one element, is also connected. To prove this, let's assume the singleton set {x} is not connected. This means there exist two non-empty open sets A and B such that {x} is the union of A and B, and A and B have an empty intersection.

Since A and B are non-empty and their union is {x}, it means that each of them contains at least one point from the singleton set {x}. However, since the intersection of A and B is empty, it implies that A and B cannot contain any additional points other than x. This contradicts the assumption that A and B are open sets since they do not contain any points other than x.

Therefore, the assumption that {x} is not connected leads to a contradiction. Hence, {x} must be connected.

In conclusion, both the empty set and singleton sets are always connected.

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The correct option that depicts the centroid of the triangle is; C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

The center of inscribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of the circumscribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides. Thus, the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle.

Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Thus, the correct option is option C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

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Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

For the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

As given in the question,

Height of the right circular cone = 2.5 units

And radius of right circular cone = 7.5 units

Let r be the radius of the cylinder and h be the height of the cylinder.

Volume of a cylinder 'V' = π r² h

Cylinder is inscribed in right circular cone

From origin edge cylinder is inscribed at x distance in right circular cone.

r = 7.5 - x

h = (2.5 /7.5) x

  = x/3

V  = π ( 7.5 - x )² ( x / 3)

⇒ V = π ( x² -15x + 56.25 ) (x/3)

⇒ V = (π /3)( x³ - 15x² + 56.25x)

For maximum volume ,

dV/dx = 0

dV/dx = (π/3)( 3x² -30x + 56.25)

(π/3) ≠ 0

⇒ 3x² -30x + 56.25 = 0

⇒ 3 ( x² -10x + 18.75) = 0

3 ≠ 0

⇒ x² -10x + 18.75 = 0

x = [ - (-10) ± √ (-10)² -4(1)(18.75)]/2(1)

⇒ x = [ 10 ± √ 100 -75]/2

⇒ x=  ( 10 ± 5 ) / 2

⇒ x = 7.5 or 2.5

As r = 7.5 -x

Hence x ≠ 7.5

r = 7.5 -2.5

 = 5 units

h = x/3

  = 2.5/3

  = 0.8333 units

Therefore, for the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

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The bacteria's population will triple in 4.75 hours.

Every three hours, bacteria double.

There is an 8 x 3-hour dividend every 24 hours.

100 microbes to get you started

due to the fact that there are 8 x 3 hours in a day and the doubles culture

Bacterial count in 24 hours will be

100 x 8 = 800

800 * 2 = 1600 is the result of doubling this quantity.

Respond to 1600 bacteria.

So the bacteria will triple in.

Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.

It triples when P(t) = 3P(0), hence:

What differential equation is employed in this issue?

The population is characterized by the following differential equation because the rate of bacterial growth in a particular culture is related to the number of bacteria present:

dp/dt=kp

where k represents the growth rate.

Using a differential equation, it is found that the bacteria's population will triple in 4.75 hours.

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Step-by-step explanation:

i don't know if this will help but, here

Answer:

In order to determine the change in percent, I divided 4.02/1.37 to get approximately 2.9. I expressed this as a percent to get 290%.

Step-by-step explanation:

When x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

Given function:

f(x) = 2x + 8

when x = -2

f(-2) = 2(-2) + 8

= -4 + 8

f(-2) = 4

when x = 0

f(0) = 2(0) + 8

= 8

f(0) = 8

when x = 5

f(5) = 2(5) + 8

= 10 + 8

f(5) = 18

Therefore when x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

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Answer:

(5√3 + 3√5)(7√5 + 2√3) + (4√3)(2√5)

= 35√15 + 30 + 105 + 6√15 + 8√15

= 49√15 + 135

In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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