During the Renaissance, education began to emphasize the study of __________ over more traditional studies.
A.
agriculture
B.
humanism
C.
medicine
D.
trading

The engine in Edward's car is less efficient, so it uses more gas than the engine in Molly's car.

The efficiency of a car is a term that refers to the relationship between the distance the car travels and the amount of fuel it requires for that displacement.

Based on the above, we can infer that Molly's engine is more efficient than Edward's engine because it consumes less fuel and travels a greater distance.

Some factors that can affect the efficiency of cars are:

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The percent of students in grade 8 those who like to join dance club is equal to 25%.

Total number of students in grade 8 = 20

Total number of students of grade 8  join in dance club = 5

Percent of students of grade 8 prefer to join dance club

= ( total number of students prefer dance club ) / ( Total number of students in grade 8 ) × 100

Substitute the value in the formula we get,

⇒ Percent of students of grade 8 prefer to join dance club

= ( 5 ) / ( 20 ) × 100

⇒ Percent of students of grade 8 prefer to join dance club  = 0.25 × 100

⇒ Percent of students of grade 8 prefer to join dance club  = 25%

Therefore, percent of grade 8 students who preferred to join dance club is equal to 25%.  

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The above question is incomplete, the complete question is:

What percent of students in grade 8 prefer to join a dance club?

                      Dance club      Hiking club     Total

Grade 7               15                       15                 30

Grade 8               5                        15                  20

Total                    20                     30                    50

To obtain the y-intercept of the perpendicular line's b-intercept, she must similarly substitute the slope and the point P into the equation y = mx + b.

The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).

Intercept Form of Equation of a Line: x/a + y/b = 1.

To solve for the y-intercept, b, in the equation y = mx + b, substitute the coordinates of the point P and the slope m.

A P is present in Rosetta. There are lines that cross this location and are both parallel and perpendicular to line g. She is attempting to formulate the equations of the lines in the form of the slope-intercept.

She has already determined the inclinations of these two lines. Similar to line g, the parallel line will also have a slope. The slopes of line g and the perpendicular line will add up to -1.

She must now determine the y-intercepts of each line.

She possesses P, a point on the parallel line, and its slope for the parallel line. In order to find the y-intercept of this line, she only needs to solve for these values in the equation y = mx + b.

Thus, to obtain the y-intercept of the perpendicular line's b-intercept, she must similarly substitute the slope and the point P into the equation y = mx + b.

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We may infer after addressing the stated question that As a result, the cone height is roughly 9.617 feet.

A cone is a three-dimensional geometric shape having a flat base and a smooth tapering apex, also known as a vertex. A cone is formed on a plane with no vertices by joining a sequence of line segments, half-lines, or lines that are common to all points on the base. A cone is a three-dimensional structure with a smooth transition from a flat, usually circular, base to the vertex or apex, which acts as the axis to the centre of the base. A cone is a three-dimensional geometric form having an upwardly flattened curving surface.

The volume of a cone is calculated as V = (1/3)r2h, where r is the radius of the cone's base and h is its height.

Because the cone's diameter is listed as 17 feet, the radius of the base is half that, or 8.5 feet.

The volume of the cone is reported to us as 190.07 cubic feet. We may create an equation using the volume of a cone formula:

190.07 = (1/3)π(8.5)²h

190.07 = 19.73925h

h = 190.07/19.73925

h =9.617 ft

As a result, the cone's height is roughly 9.617 feet.

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The Fundamental Theorem of Algebra asserts that this 2 n d degree polynomial must have precisely two roots.

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.

Here,

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots.

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Step-by-step explanation:

f(g(x))= f(x+1)

f(g(1))= f(-1+1)= f(0)

f(0)= 1 - 2(0)²

=1-0

=1

Answer:

Your answer is Cahokia. Hope this helps plz mark brainliest! Have a great day!

Step-by-step explanation:

Answer:

\(\angle ABC=60\)

Step-by-step explanation:

\([Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC\)

\(Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}\)

\(Through\ the\ Angle\ Sum\ Property\ of\ a\ Triangle,\ we\ know\ that:\\'The\ Sum\ of\ all\ interior\ angles\ of\ a\ triangle\ is\ 180.'\\Hence,\\In\ \triangle BAC,\\\angle ABC + \angle BCA + \angle CAB=180\\In\ \triangle MAC,\\\angle MAC+ \angle ACM + \angle AMC=180\)

\(Hence,\\As\ \angle AMC= 2 \angle ABC, \angle MCA=\frac{\angle BCA}{2}, \angle MAC=\frac{\angle BAC}{2},\\2 \angle ABC+\frac{\angle BCA}{2}+\frac{\angle BAC}{2}=180\\By\ resolving\ the\ denominators,\\\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}=180\\\\By\ comparing\ the\ Sum\ of\ angles\ in\ both\ the\ triangles,\\We\ find\ that\ the\ RHS\ of\ both\ the\ equations\ are\ equal\ i.e.180,\\The\ LHS\ of\ the\ equations\ are\ equal\ too.\\\)

\(Hence,\\\angle ABC+ \angle BCA + \angle BAC=\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}\\Hence,\\2(\angle ABC+ \angle BCA + \angle BAC)=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle ABC+ 2 \angle BCA + 2 \angle BAC=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle BCA + 2 \angle BAC-\angle BCA- \angle BAC=4 \angle ABC- 2 \angle ABC\\Hence,\\\angle BCA+\angle BAC= 2\angle ABC\)

\(Lets\ get\ back\ to\ the\ Angle\ Sum\ of\ \triangle ABC,\\\angle ABC + \angle BAC + \angle ACB=180\\Hence,\\As\ \angle BCA + \angle BAC= 2 \angle ABC,\\\angle ABC + 2 \angle ABC=180\\Hence,\\3 \angle ABC=180\\\angle ABC=\frac{180}{3}=60\)

Therefore, the equation of the normal line to the surface at the point (2, 1, -3) is given by: x = 2 + 8t, y = 1 + 2t, z = -3 + 2t. Therefore, the equation of the tangent plane to the surface at the point (2, 1, -3) is 8x + 2y + 2z = 26.

To find the equation of the tangent plane to the surface at the given point, we need to determine the partial derivatives and evaluate them at the point (2, 1, -3).

The partial derivatives of the surface equation are:

∂F/∂x = 4x

∂F/∂y = 2y

∂F/∂z = 2

Evaluating these derivatives at the point (2, 1, -3), we get:

∂F/∂x = 4(2) = 8

∂F/∂y = 2(1) = 2

∂F/∂z = 2

So the normal vector to the tangent plane at the point (2, 1, -3) is (8, 2, 2).

The equation of the tangent plane is given by:

8(x - 2) + 2(y - 1) + 2(z + 3) = 0

Simplifying this equation, we get:

8x + 2y + 2z = 26

To find the equation of the normal line, we can use the direction ratios of the normal vector. The direction ratios are (8, 2, 2), so the parametric equations of the normal line passing through the point (2, 1, -3) can be written as:

x = 2 + 8t

y = 1 + 2t

z = -3 + 2t

where t is a parameter.

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9.

x, y and z are three different numbers.

x + y + z = 100

The mean of x, and y is 40.

The mean of y and z is 35.

the means of x, y is that like similar to coordinator

\(\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\\)

*diagram is in the attachment below

Answer:

Step-by-step explanation:

Given:

LN = 72

JP = 93

MK = 78

Required:

LQ, QN, QP, JQ MQ, and KQ.

Solution:

Apply the centroid theorem to find each missing measure.

✔️LQ = ⅔(LN)

LQ = ⅔(72)

LQ = 48

✔️QN = ⅓(LN)

QN = ⅓(72)

QN = 24

✔️QP = ⅓(JP)

QP = ⅓(93)

QP = 31

✔️JQ = ⅔(JP)

JQ = ⅔(93)

JQ = 62

✔️MQ = ⅓(MK)

MQ = ⅓(78)

MQ = 26

✔️KQ = ⅔(MK)

KQ = ⅔(78)

KQ = 52

Interval of increase: (-∞, -1) ∪ (3, +∞)

Interval of decrease: (-1, 3)

Given function is f(x) = x³ - 3x² - 9x + 4

Differentiating with respect to x,

f'(x) = 3x² - 6x - 9

f'(x) = 3 (x² - 2x - 3)

f'(x) = 3 (x² - 3x + x - 3)

f'(x) = 3 (x(x - 3) + (x - 3))

f'(x) = 3 (x - 3) (x + 1)

For increasing or decreasing,

f'(x) = 0

3 (x - 3) (x + 1) = 0

x = - 1, 3

In interval (-∞, -1 ), f'(x) = positive,

⇒ f(x) is increasing on (-∞, -1 ),

In interval (-1, 3), f'(x) = negative,

⇒ f(x) is decreasing on (-1, 3),

In interval (3, ∞), f'(x) = positive,

⇒ f(x) is increasing on (3, ∞),

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Given question is incomplete, the complete question is below

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 3x² - 9x + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

Step-by-step explanation:

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

Answer:

The gradient of the parallel line is -2.

Step-by-step explanation:

Parallel lines have the same gradient.

We find the gradient of the given line by solving the equation for y.

2x + y = 4

Subtract 2x from both sides.

y = -2x + 4

The equation is now written in the y = mx + b, where m is the gradient.

The gradient of the given line is -2.

The gradient of the parallel line is -2.

The speed of the Atlas V Rocket was approximately 8,727.27 miles per hour, based on the given information that it could go one mile in 0.11 seconds.

To find the speed of the Atlas V Rocket, we need to use the formula:

speed = distance / time

In this case, the distance is 1 mile, which is equal to 1609.34 meters. The time is 110th of a second, which is equal to 0.1 seconds (since there are 10 tenths in a second).

So, plugging these values into the formula, we get:

speed = 1609.34 meters / 0.1 seconds

speed = 16093.4 meters per second

Therefore, the Atlas V Rocket traveled at a speed of 16093.4 meters per second.

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Given the similar triangles, Note that x = 51.2

Since both triangles are proportional,

64/60 = x/48

To solve for x in the equation:

64/60 = x/48

We can cross-multiply to get rid of the fractions:

64 * 48 = 60 * x

3072 = 60x

Finally, we isolate x by dividing both sides by 60:

x = 3072/60 = 51.2

Therefore, the solution is:

x = 51.2

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Answer:

could you take pic of what your trying to solve?

Answer:

yay

Step-by-step explanation:

thx<3

Answer:

$2.3 per pound

Step-by-step explanation:

11.5 / 5 = 2.3

Answer: B 5+5=10+4+4+4=12+3 10+12+3 25 lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perimeter is addition of all the sides

so add them

5+4+4+3+4 =20

The odds ratio is \(1.36\) (option b) based on the given table. The odds ratio is a measure of the strength and direction of the association between two categorical variables.

In more detail, the odds ratio is obtained by taking the ratio of the odds of an event in one group (e.g., exposed) to the odds of the event in another group (e.g., unexposed). It provides information on how much more likely (or less likely) the event is to occur in one group compared to the other. An odds ratio greater than 1 indicates a positive association, where the event is more likely in the exposed group. Conversely, an odds ratio less than 1 suggests a negative association, indicating that the event is less likely in the exposed group.

To determine the odds ratio from the given table, you would need to look at the values in the table that represent the exposed and unexposed groups and their respective event frequencies. Without the specific data in the table, it is not possible to provide a more detailed explanation for why option b (\(1.36\)) is the correct answer.

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The probability that the operator is busy is 33.33% if the call rate is 2 per minute and average time to handle is 10 seconds.

Given rate of calls 2 per minute and average time to handle a call is 10 seconds.

We have to find the probability that the operator is busy.

Probability is the chance of happening an event among all the events possible. The value of probability lies between 0 and 1.

Probability= number of items/ total items

If rate is 2 per minute then the customers handled in 1 hour=2*60=120

The average time to handle a call=10 seconds.

Therefore customers to be handled in 1 hour=360 (10*6*60)

Probability that the operator is busy is as under:

Probability=λ/μ

=120/360

=1/3

=1/3*100

=33.33%

Hence the probability that the operator is busy is 33.33%.

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Answer:

x+1

Step-by-step explanation:

all sequences are added by one, so x+1

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

y=22-1

Step-by-step explanation:

ewaan di ako sure

Answer: To factor a trinomial in the form x2 + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Step-by-step explanation:

Answer:

f + s = 45

s = (45-f)

Step-by-step explanation: