The radius of convergence of the power series representation of 6x f(x) = 7x + 11 is R= 7 11 Select one: O True False

The values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

Thales's Theorem or Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Given are three figures of triangles,

Figure 1)

5/x+5 = 8/10

50 = 40+8x

x = 5/4

y = 7/7+y = 8/10

70 = 56 +8y

y = 4/7

Figure 2)

12/12+y = 18/18+6

12/12+y = 18/24

48 = 36 +3y

y = 4

12/4 = x/5

x = 15

Figure 3)

y/4 = 1.5/3

y = 2

x/6 = 1.5/3

x = 3

Hence, the values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

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Answer:

Step-by-step explanation:

The area of shaded region is 3.6077 cm²

The area occupied by the rectangle within its perimeter can be calculated using the formula for the area of a rectangle.

A rectangle's area is calculated by multiplying its length by its width. Therefore, the product "l x w" is the formula for the area, "A," of a rectangle whose length and breadth are "l" and "w," respectively.

Given:

rectangle:

Length = 4 cm

width= \(3 \frac{1}{2}\) cm

So, area of rectangle

= length x width

=4 x  \(3 \frac{1}{2}\)

= 4 x 7/2

=14 cm²

Now, area of Hexagon

= 3√3/2 x a²

= 3√3/2 x 2²

= 3√3/2 x 4

= 3√3 x 2

= 10.3923 cm²

Then, area of shaded region

= 14 - 10.3923

=3.6077 cm²

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Answer:

the correct function is linear

Step-by-step explanation:

Answer:

55.4 ft/s

Step-by-step explanation:

The easiest way to do this is to plug it into a calculator. The problem tells us that x is an object that has fallen a certain amount of feet. Then, the problem gives us that the object has fallen 48 feet. We can now plug 48 in for x and you get 55.4

Answer:

C. 126

Step-by-step explanation:

We can use ratios to solve for corresponding side lengths.

\(\frac{140-x}{81} =\frac{x}{9}\)

Cross multiply.

\(9(140-x)=81x\)

\(140-x=9x\)

\(140=10x\)

\(14=x\)

Plug x as 14.

\(140-14=126\)

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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Answer:

He stayed for 99 days

Step-by-step explanation:

55% of 180 is 99

The requested equation for the line shown on the graph can be written as y = -0.5x + 2000.

This equation represents a linear function, where the dependent variable y represents the amount in the savings account and the independent variable x represents the number of months since the beginning of the year.

To obtain the equation, we need to determine the slope and y-intercept of the line. The slope of the line can be found by selecting two points on the line and using the formula (change in y)/(change in x). For example, if we choose the points (2, 1999) and (10, 1955), the slope of the line is (-1955-1999)/(10-2) = -44/-8 = 5.5.

However, we need to remember that the slope represents the decrease in savings per month, so we must multiply it by -1 to get the slope we need, which is -0.5. The y-intercept can be found by observing the point where the line intersects the y-axis, which is (0, 2000).

Putting the values for the slope and y-intercept into the slope-intercept form of the equation (y = mx + b) gives us the final equation, y = -0.5x + 2000.

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The probability that two candies picked at random with replacement are of the same color is 0.22

The colors & their respective proportions are

Brown: 0.3

Red: 0.2

Yellow: 0.2

Green: 0.2

Orange: 0.1

If two candies are drawn with replacement, then the probability that they are of the same color is given by the sum of squares of all the proportions.

The probability that both the candies can be brown is

0.3 × 0.3 = 0.09

The probability that both the candies can be red is

0.2 × 0.2 = 0.04

The probability that both the candies can be yellow is

0.2 × 0.2 = 0.04

The probability that both the candies can be green is

0.2 × 0.2 = 0.04

The probability that both the candies can be orange is

0.1 × 0.1 = 0.01

Hence the sum is 0.09 + 0.04 + 0.04 + 0.04 + 0.01 = 0.22

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Answer:

B

Step-by-step explanation:

That's even, Steven.

That's odd, Mr. Todd.

Answer:

The answer is A

Step-by-step explanation:

got it right on edge2021

please mark me as a brainlist please

Answer:

5 batches

Step-by-step explanation:

60÷ 12=5 batches

Answer:

x^7

Step-by-step explanation:

look for the highest degree of any term and you will end up multiplying

x^3( from first paranthesis)  *x( from second parenthesis) *x^3 ( from third paranthesis) so the highest degree will be x^ 3+1+3 = x^7

The number that has no composite factors is (c) 77

From the question, we have the following parameters that can be used in our computation:

Number = 21

The factors of 21 are 3 and 7

These factors are composite numbers because they are prime numbers

using the above as a guide, we have the following:

The number 77 has no composite factors

This is so because

77 = 7 * 11

These factors are composite numbers because they are prime numbers

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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The similar triangles in the question, with proportional sides indicates;

4. The proportion that must be true is the option G

G. 4/6 = 7/x

Similar triangles are triangles are triangles that have the same shape but may have different sizes.

The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches

The definition of similar triangles indicates that we get;

DE/AB = EF/BC

DF/AC = DE/AB

DF/AC = EF/BC

Therefore;

(x/7) = 4/6

The correct option which indicates the proportion that must be true, therefore is option G

G. 4/6 = x/7

Part of the question includes two triangles, please see attached diagram created with MS Excel

The possible proportions, from which to select the proportion that must be true are;

F (7/x) = (4/6)

G 4/6 = x/7

H 6/4 = x/7

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The student did the subtraction step of PEMDAS out of order.

PEMDAS is a rule regarding precedence of operations, given as follows, from highest to lowest precedence.

In this problem, the expression is:

(6 - 2)² + 12  - 3².

The student reached an answer of 97 as follows:

(6 - 2)² + 9² = 4² + 9² = 16 + 81 = 97.

The student did the subtraction first, hence the student did the subtraction step of PEMDAS out of order.

The correct solution is:

(6 - 2)² + 12  - 3² -> Solve the Parenthesis.

4² + 12 - 3² -> Solve the Exponents.

16 + 12 - 9 -> Solve the Addition and Subtraction.

19.

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The percentage of money Indrani receives is 43.75%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given,  Indrani and Jagad share some money in the ratio,

Indrani : Jagad = 7 : 9.

We know the percentage of money for both a and b in the form of a : b can be obtained as, [a/(a + b)]×100.

Therefore, the percentage of money Indrani gets is,

= [7/(7 + 9)]×100.

= (7/16)×100.

= 43.75%.

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Answer:

43.75%

Step-by-step explanation:

Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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By generating 20 samples of size 100 and calculating the proportions of vacationers who enjoy water parks in each sample, we can assess how closely the samples estimate the percent of all vacationers who enjoy water parks.

To estimate how closely the samples of size 100 reflect the percent of all vacationers who enjoy water parks, we can conduct a simulation using technology.

By generating multiple samples and calculating the proportion of vacationers who enjoy water parks in each sample, we can compare the sample proportions with the known population proportion of 60%.

Using a random number generator or statistical software, we generate 20 samples of size 100. For each sample, we calculate the proportion of vacationers who enjoy water parks by dividing the number of vacationers who enjoy water parks by the total sample size.

After obtaining the sample proportions, we can compare them with the known population proportion of 60%. We can calculate the difference between each sample proportion and 60% to measure how closely the samples estimate the true population proportion.

We can then calculate summary statistics, such as the mean, standard deviation, and confidence interval, to assess the overall accuracy and variability of the sample estimates.

For example, if the average of the sample proportions is close to 60% and the standard deviation is relatively small, it indicates that the samples provide accurate estimates of the population proportion.

On the other hand, if the sample proportions vary widely and deviate significantly from 60%, it suggests that the sample estimates may not accurately reflect the population proportion.

By conducting this simulation with 20 samples of size 100, we can evaluate how closely the samples estimate the percent of all vacationers who enjoy water parks and assess the accuracy and variability of the sample estimates.

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Answer:

4

Step-by-step explanation:

2/3 * 6

~Rewrite

2/3 * 6/1

~Multiply

12/3

~Simplify

4

Best of Luck!

Answer:

4

Step-by-step explanation:

Answer:

1) Slope: 2 ; y-intercept: (0, -6)

2) Slope: -5; y-intercept: (0, 16)

Step-by-step explanation:

8x-4y=24 is also y=2x-6

Slope: 2

y-intercept: -6

y= -5x+16

Slope: -5

y-intercept: 16

Answer: x= -1 y= 13, x = 0 y= 10, x=4 y= -2

Step-by-step explanation:

Answer: \(\frac{1}{3}\) yds²

Step-by-step explanation:

    To find the area, we will multiply 2/3 by 2/4. When multiplying fractions, you multiply straight across.

\(\displaystyle \frac{2}{4} *\frac{2}{3} =\frac{2*2}{4*3} =\frac{4}{12} =\frac{1}{3}\)

    We can also use the model, see attached.

Height of the kite above the ground is 13.6 feet.

    Given in the question,

Apply sine rule in the given triangle ABC,

\(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

\(\text{sin}(27^0)=\frac{AB}{30}\)

BC = 13.6 feet

    Therefore, height of the kite above the ground is 13.6 feet.

Option (B) will be the answer.

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The new mean will be 15

20 on average

The total number is ten.

The total number is 200.

Subtracting the average from 200 gives (10 5) grand total = 20050 = 150 if all numbers are less than 5.

10 150 as the new average

= 15

As a result, the new average is 15

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Answer:

2 1/5 can also be written as 11/5

The reciprocal of 11/5 is 5/11

Answer:

5/11

Step-by-step explanation:

2 1/5 into an improper fraction is 11/5.. recipricol is 5/11

If the measure of arc AB is 48, then the measure of inscribed angle ACB is 48/2 = 24 degrees.

What is the arc?

An arc in mathematics is a segment of a curve or a segment of a circle.  A circle's arc is referred to as a portion or section of its circumference. A semicircular arc is one whose length is exactly half that of a circle.

To find the measure of an inscribed angle given the measure of its corresponding arc.

In a circle, an inscribed angle intercepts an arc that is twice as large as the angle.

That is, if an inscribed angle intercepts an arc with measure x, then the measure of the inscribed angle is x/2.

Therefore, if the measure of arc AB is 48, then the measure of inscribed angle ACB is 48/2 = 24 degrees.

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Answer:

(3x+5)(7x^2+3)

Step-by-step explanation:

Factor : 21x^3+35x^2+9x+15

21x^3+35x^2+9x+15

=(3x+5)(7x^2+3)

______________________

Hope this helps!