Solve each of the following problems. 1. If the lengths of two sides of an isosceles triangle are 9cm and 17em, find the
length of the third side. 2. In a triangle with integer side lengths, one side is two times as long as the second side and the length of the third side is 22 cm. What is the greatest possible
perimeter of the triangle? 3. Aaron has two bamboo sticks with measures 39cm and 18 cm, if he will make a triangular picture frame, how many possible frames can he make, if the third
side has integral length?

Answer:

x=11

Step-by-step explanation:

given -2 + 4x = 6(x-4) the objective is to get the variable (x) on one side and the constant on the other using inverse operations

-2 + 4x = 6(x-4)

step 1 distribute the 6 to x and -4

6*x=6x

6*-4=-24

now we have

-2 + 4x = 6x - 24

step 2 add 24 to each side

-2+24=22

-24+24 cancels out

now we have 22+4x=6x

now we want to get rid of the 4x

to do so we subtract 4x from each side

4x-4x cancels out

6x-4x=2x

now we have

2x = 22

step 4 divide each side by 2

22/2=11

2x/2=x

we're left with x = 11

Answer:

2

Step-by-step explanation:

The PageRank of node a after one iteration is 0.0425.

To determine the PageRank of node an after one iteration, we need to use the PageRank algorithm and the hyperlink matrix of the network.

Let H be the hyperlink matrix of the network, where each entry Hij represents the hyperlink from node i to node j, and let v be the initial probability distribution vector, where each entry vi represents the probability of starting at node i.

Assuming a damping factor of 0.85, the PageRank algorithm can be written as:

r = 0.85 * H * v + 0.15 * e

where r is the PageRank vector, and e is a vector of ones.

Using the hyperlink matrix and the initial probability distribution vector:

H =   [[0, 1/2, 0, 0, 0],

        [1/3, 0, 0, 0, 1/2],

        [1/3, 0, 0, 1, 1/2],

        [1/3, 1/2, 1, 0, 0],

         [0, 0, 0, 0, 0]]

  v = [1, 0, 0, 0, 0]

we can calculate the PageRank vector after one iteration:

r = 0.85 * H * v + 0.15 * e

= [0.0425, 0.1275, 0.4675, 0.2675, 0.095]

Therefore, the PageRank of node an after one iteration is 0.0425.

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The point that is a solution of the line is the point marked  (-6, 0).

We know that the equation of a line would take the general form y = mx + c. The m is the slope of the line and c is the vertical intercept of the line. This is the pattern that we can use to be able to obtain the equation of every other line that we have.

In this case, the equation that we have is the equation; 4x + y = -24. We now have to rearrange the equation in the form; y = -4x - 24. This now looks exactly like the equation of a straight line graph.

We would go straight to test the solution (-6, 0) and see if it is a solution for this line.

When we do that;

y = -4 (-6) - 24

y = +24 - 24

y = 0

Hence this is a solution.

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The expression be 1/4(c³+ d²) then the value exists 9.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication and division (left to right), addition and subtraction (from left to right).

The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).

Let the given expression be 1/4(c³+ d²)

The value of c = -4 and d = 10

substitute the values in the above equation, we get

Follow the PEMDAS order of operations

Calculate within parentheses  ((-4)³ + (10)²) = 36

1/4((-4)³ + (10)²)

simplifying the above equation, we get

= 1/4 × 36

= 9

Therefore, the correct answer is option B. 9.

The complete question is:

What is the value of this expression when c = -4 and d = 10?

1/4(c³+ d²)

A. 2

B. 9

C. 21

D. 41

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It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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Step-by-step explanation:

Question no 1 ans is -10.

Question no 2 ans is 14.

Question no 3 ans is 7.

Question no 4 ans is 14.

Answer:

Step-by-step explanation:

c: x=32

d: all real numbers are solution

e: there are no solutions

Answer: I think 9

Step-by-step explanation:

The solution of the differential equation with the given initial conditions is: \(y = (1/2)e^(2x) + (1/2)e^(-2x) - 2x².\)

Given differential equation is y" - 4y = 8x²,

Let \(y = Ay + Bx² + C\) be a particular solution, then differentiating, we get:

\(y' = Ay' + 2Bxy + C .....(1)\)

Again, differentiating the equation above, we get: \(y'' = Ay'' + 2By' + 2Bx.....(2)\)

Putting the equations (1) and (2) into y" - 4y = 8x², we get:

\(Ay'' + 2By' + 2Bx - 4Ay - 4Bx² - 4C = 8x².\)

Comparing the coefficients of x², x, and constant term, we get:-4B = 8, -4A = 0 and -4C = 0. Hence, B = -2, A = 0 and C = 0.

Thus, the particular solution to the given differential equation is:

\(y = Bx² \\= -2x².\)

Next, the complementary function is given by:y" - 4y = 0, which gives the characteristic equation:

\(r² - 4 = 0, \\r = ±2.\)

Therefore, the complementary function is given by:\(y_c = c₁e^(2x) + c₂e^(-2x).\)

Applying initial conditions:y(0) = 1y'(0) = 0

So, the general solution of the given differential equation:\(y = y_c + y_p \\= c₁e^(2x) + c₂e^(-2x) - 2x².\)

Using the initial condition y(0) = 1, we get

\(c₁ + c₂ - 0 = 1, \\c₁ + c₂ = 1.\)

Using the initial condition y'(0) = 0, we get

\(2c₁ - 2c₂ - 0 = 0, \\2c₁ = 2c₂, \\c₁ = c₂\).

Substituting c₁ = c₂ in the equation \(c₁ + c₂ = 1\), we get \(2c₁ = 1, c₁ = 1/2.\)

Hence, the solution of the differential equation with the given initial conditions is :\(y = (1/2)e^(2x) + (1/2)e^(-2x) - 2x².\)

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Demarco can determine if a value is a solution of the equation 1/2x = 4 by substituting the value into the equation and verifying if it satisfies the equation after simplification.

To check if a value is a solution of an equation, Demarco can follow these steps:

Substitute the value of x into the equation. Let's say Demarco substitutes x = 8.

Replace x in the equation with the chosen value and simplify:

1/2 * 8 = 4

4 = 4

If the equation is true after simplification, it means the chosen value is a solution to the equation. In this case, since 4 is indeed equal to 4, we can conclude that x = 8 is a solution of the equation 1/2x = 4.

By substituting the value of x and verifying the equation's validity, Demarco can determine if the value is a solution.

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Answer: D

Step-by-step explanation:

If my calculations are right, it should be d

Answer:

Step-by-step explanation:

Almonds:

Dried Apricots:

Dried Apricots cost less by:

The correct decision rule for a test hypothesis with a significance level of 0.02, with two tails, is given as follows:

C. Reject H0 if Zstat< -2.33 or Zstat > +2.33.

The decision regarding the null hypothesis depends on if the p-value is less or more than the significance level:

For a two-tailed test with a significance level of 0.02, the critical value is given as follows:

z = 2.33.

Hence the decision rule is given as follows:

Hence option C is the correct option for this problem.

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Answer:

i would say circle cause there no evan lines angles or points in it

Step-by-step explanation:

The object which is defined using undefined terms of points and lines is option D)

D) Ray

Reason for electing the above option is as follows;

Undefined terms are terms that are not required to be given formal definition in them selves and they include the terms set, plane, line, and point

A point is a dimensionless marker of position and it is indicated in geometry by a capital letter. In geometry, a point is the most elementary entity

A line is an infinitely long and straight geometric object that is defined and named by any two points located on it

A ray is a subset of a line that extends long straight infinitely in one direction, and has a starting point

Therefore, the geometrical object defined by a point and a line is a ray and the correct option is option D)

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The point estimate for the unknown population proportion is approximately 0.5761.

To find the point estimate for the unknown population proportion, we can use the formula:

Point Estimate = x / n

Given that x = 106 and n = 184, we can substitute these values into the formula:

Point Estimate = 106 / 184 ≈ 0.5761

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The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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Answer:

70

Step-by-step explanation:

6+ 2^6

6 + (2*2*2*2*2*2)

6 + (4*4*4)

6+ (16 * 4)

6+ (64)

70

Answer:

(6+x)(5+x)

Step-by-step explanation:

Answer:

92.14

Hope this helps!

Step-by-step explanation:

To find the area of the figure, you need to find the area of the rectangle and the semi-circle.

13 × 6 = 78, the area of the rectangle is 78.

The area of the semi-circle can be found using the formula \(\frac{\pi r^{2} }{2}\), the diameter is 6 so the radius is 3.

\(\frac{\pi 3^{2} }{2} =\frac{\pi 9}{2} =\frac{9\pi }{2} = \frac{28.27433...}{2} = 14.1371...\)

14.137 + 78 = 92.137 or 92.14.

A counterexample that disproves her conjecture is that Easter date fell outside the first 22 days in April in the year 2024, 2027, 2032 and 2038.

Easter Sunday might come between March 22 and April 25. Easter is always celebrated on the Sunday immediately following the Paschal Full Moon date of the year. The Paschal Full Moon is the first Ecclesiastical Full Moon date after March 20. So, in Western Christianity, Easter is always celebrated on the Sunday immediately following the Paschal Full Moon.

Her conjecture over 2018 to 2021 is not a full reflection of the changes that occurs in these dates. To draw a more concrete assumptions, a wider range of year would need to be considered. Hence, the date variations between 2018 and 2021 is not enough for such conjectures.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:426.6

Step-by-step explanation:

.138 x =.088(x - 69.7) + .394(69.7)

.138 x -  .088x = 69.7(.394 - .088)

.05x = 21.3282

/

x = 426.564

This rounds to x = 426.6

Answer:

Kindly check explanation

Step-by-step explanation:

The number of blue whales residing in a particular ocean is estimated to be four. Find the estimated amount of kills the blue whales would have consumed by the turn of the year.

Given that:

Amount of krills consumed per year = 1460000

Number of Blue whales = 4

Hence, the estimated consumption of the blue whales will be :

Number of Blue whales * estimated consumption per whale :

(4 * 1460000) = 5840000

Hence,

Estimated consumption of the Blue whales per year = 5.84 × 10^6

Answer:

1, -1, 0

Step-by-step explanation:

Those are numbers between or equal to -2(not equal to -2) and 1.

Answer:

-1/0/1

Step-by-step explanation:

the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

To determine how often the hotel should use the pickup-and-delivery service, we need to compare the costs of storing the dirty towels and clean towels with the costs of the pickup-and-delivery service.

Let's calculate the costs of storing the towels:

Dirty towel storage cost per day: 600 towels x $0.02 = $12 per day

Clean towel storage cost per day: 600 towels x $0.01 = $6 per day

Next, let's calculate the costs of the pickup-and-delivery service:

Fixed charge per pickup and delivery service: $81

Variable cost per towel: 600 towels x $0.60 = $360

Now, let's compare the costs:

If the hotel uses the pickup-and-delivery service every 10 days, the total cost would be:

10 days  ($12 + $6) + $81 + $360 = $267

If the hotel uses the pickup-and-delivery service every 9 days, the total cost would be:

9 days  ($12 + $6) + $81 + $360 = $255

Since the cost is lower when using the service every 10 days, the hotel should use the pickup-and-delivery service every 10 days to minimize costs.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29