What is the next term of the geometric sequence?
3,15,75,

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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9514 1404 393

Answer:

  B. Between 9% and 9.9%

Step-by-step explanation:

The equation for the sum of a series of monthly payments P earning interest rate r compounded monthly for t years is given by ...

  A = P((1 +r/12)^(12t) -1)/(r/12)

The number of years in this case is ...

  70 -18 = 52

We want to find r such that ...

  1,000,000 = 50·12((1 +r/12)^(12·52) -1)/r

  10,000/6 = ((1 +r/12)^624 -1)/r

We can try some values for r to see what may work.

r = 9%

  ((1 +.09/12)^624 -1)/.09 = 1165.60 . . . not quite enough

r = 10%

  ((1 +0.10/12)^624 -1)/0.10 = 176408 . . . > 1666.67

The required interest rate will be between 9% and 10%, option B.

_____

In general, finding the exact interest rate is an iterative process. A financial calculator can do it for you. The result is near 9.86%. The graph shows a solution using a graphing calculator.

Answer:

Option C

Step-by-step explanation:

Rational numbers are numbers of the form p/q, where p and q are integers and q not equal to zero.

Integers are number of the form p/q , where q = 1

Option A : 188 => integer and rational

Option  B: 13   =>  integer and rational

Option C :2/5  =>  rational but not integer ( because q = 5 and not 1 )

Option D : - 51 => integer and rational

Answer:

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

188, -4, and 51 are both Integers and Rationals.

But,

Only 13 2/5 is a mixed fraction included only in rationals and not in Integers

Answer: x=12

Step-by-step explanation:

It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

Evaluating B-type natriuretic peptide (BNP) levels before and after transfusion can be helpful in establishing a diagnosis for transfusion-associated circulatory overload (TACO). TACO is a transfusion reaction that occurs due to the rapid volume overload caused by transfusion. It primarily affects patients with pre-existing cardiovascular conditions.

BNP is a hormone released by the ventricles of the heart in response to increased stretching of cardiac muscle cells. Elevated BNP levels indicate heart stress or failure. In the context of transfusion reactions, monitoring BNP levels before and after transfusion can help differentiate TACO from other transfusion reactions that may present with similar symptoms.

If BNP levels are elevated before transfusion and increase further after transfusion, it suggests that TACO is likely the cause of the reaction. This pattern indicates worsening heart stress due to volume overload from the transfusion. By contrast, other transfusion reactions may not have a significant impact on BNP levels.

It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

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To determine the slope equations and compute the contour slopes in x and y at a specific point (2, 3) on the land parcel's contour, we can use the partial derivative of the contour equation with respect to each independent variable.

To find the slope equations, we need to calculate the partial derivatives of the contour equation with respect to x and y.

To find the slope equation with respect to x, we differentiate the equation with respect to x while treating y as a constant:

∂z/∂x = 0.5t + lny - 2sin(x)

Similarly, to find the slope equation with respect to y, we differentiate the equation with respect to y while treating x as a constant:

∂z/∂y = x/y

Now, to compute the contour slopes in x and y at the point (2, 3), we substitute the values of x = 2 and y = 3 into the slope equations:

Slope in x at (2, 3):

∂z/∂x = 0.5t + ln(3) - 2sin(2)

Slope in y at (2, 3):

∂z/∂y = 2/3

By evaluating the above expressions, we can determine the contour slopes in x and y at the point (2, 3) on the land parcel's contour.

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Answer:

i'm pretty sure its elimination  

Answer:

Eqivelent expressions

Step-by-step explanation:

also dis

Answer:

Yannnnn po answer ◉‿◉｡◕‿◕｡◉‿◉｡◕‿◕｡◉‿◉｡◕‿◕｡◉‿◉

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

The matching vocabularies are;

1.  Factor

2. Algebraic

3. Denominator

4.  Improper fraction

5. Coefficient

Given,

1. A number that divides evenly into a given number

2. Expressions, equations, and operations involving variables

3. The bottom part of a fraction, represents the whole

4. A fraction with a numerator that is larger than or equal to the denominator

5. The number in an algebraic term improper fraction

We have to match the vocabulary to the proper definition;

Here,

1. A number that divides evenly into a given number  - Factor

2. Expressions, equations, and operations involving variables  -Algebraic

3. The bottom part of a fraction, represents the whole - Denominator

4. A fraction with a numerator that is larger than or equal to the denominator - Improper fraction

5. The number in an algebraic term  - Coefficient

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Lambda cap is an unbiased estimator of lambda.

Lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda

To show that lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda, we need to demonstrate that it is unbiased and achieves the minimum variance among all unbiased estimators.

Unbiasedness:

To show that lambda cap is unbiased, we need to show that its expected value is equal to lambda.

E(lambda cap) = E((1/n) * Σ^n_i=1 X_i)

= (1/n) * Σ^n_i=1 E(X_i) [since expectation is a linear operator]

= (1/n) * Σ^n_i=1 lambda [since E(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda.

Minimum Variance:

To show that lambda cap achieves the minimum variance, we can calculate its variance and compare it with the variances of other unbiased estimators of lambda.

Var(lambda cap) = Var((1/n) * Σ^n_i=1 X_i)

= (1/n^2) * Σ^n_i=1 Var(X_i) [since variance of a sum is the sum of variances for independent random variables]

= (1/n^2) * Σ^n_i=1 lambda [since Var(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda/n.

The Cramer-Rao lower bound states that the variance of any unbiased estimator of a parameter must be greater than or equal to the reciprocal of the Fisher information. In the case of the Poisson distribution, the Fisher information for the parameter lambda is equal to lambda.

Since Var(lambda cap) = lambda/n, which is equal to the reciprocal of the Fisher information, lambda cap achieves the minimum variance among all unbiased estimators of lambda.

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.

Answer:

The measurement for SH-C0524-B 250 that is out of range is the hole diameter, which is 2.50 mm instead of the acceptable range of 2.55-2.60 mm.

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

5+8/4*3

5+24/4

20+24

44

Answer: 176cm

Step-by-step explanation:  To find the circumference of the circle, we will use the circumference formula: 2πr = 2 × 22/7 × 28

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

Answer:

\( \displaystyle \rm \longmapsto \:3(x - 4) = 2x + 5\)

\( \displaystyle \rm \longmapsto \:3x - 12 = 2x + 5\)

\( \displaystyle \rm \longmapsto 3x - 2x - 12 = 2x - 2x + 5\)

\(\displaystyle \rm \longmapsto x - 12 = 5\)

\(\displaystyle \rm \longmapsto x - 12 + 12 = 5 + 12\)

\(\displaystyle \rm \longmapsto x = 15\)

Answer:

8

Step-by-step explanation:

solve the 2 cube first = 8

then solve the .2 with 8 = 16

then minus 24

24-8.2

24-16

8

The dependent Variable would be

D. 4

--------------------------------------

Answer:D. 4

Step-by-step explanation:

Answer:

The slope of this line is 2.

Answer:

its 8

Step-by-step explanation:

4/5 ÷ 1/10

4×10/5×1=40/5

8×5/1×5=8/1=8

hope this helps

Answer:

8

Step-by-step explanation:

turn division into mulitplictaion the mulitplie

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

Take any 2 points on the line. Use the slope formula (\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\))

For this example, I will use:

20, 30 and 60, 60.

\(m=\frac{30-60 }{20-60 }= \frac{3}{4}\)

Answer:

question 12 is answer B

question 13 is -8x^3

Step-by-step explanation:

exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)

Answer:

The answer is

Step-by-step explanation:

Circumference of a circle( C) = πd

where d is the diameter

π = 3.142

From the question

d = 1.8cm

Substitute d = 1.8 into the above formula

Circumference of the circle is

3.142 × 1.8

= 5.6556

We have the final answer as

Hope this helps you

Answer:

y(y+1)(y-3)=-18

Step-by-step explanation:

\(y(2y+3)=y^3+18\\2y^2+3y=y^3+18\\-18=y^3-2y^2-3y\\-18=y(y^2-2y-3)\\-18=y(y^2-3y+y-3)\\-18=y(y(y-3)+(y-3))\\-18=y(y+1)(y-3)\\y(y+1)(y-3)=-18\\\)

Answer:

y = 3x

Step-by-step explanation:

Since, line given in the graph passes through origin (0, 0), relation between the number of tennis balls (y) and the number of cans (x) will be proportional.

y ∝ x

y = kx

Here 'k' = proportionality constant

Since the given line is passing through (1, 3),

3 = k(1)

k = 3

Therefore, equation of the line will be,

y = 3x

Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm. We can calculate it in the following manner.

The perimeter of the rectangular piece of cardboard is the sum of all four sides. Using the given measurements of 8 cm by 6 cm, we can calculate the perimeter as follows:

Perimeter = 2(Length + Width)
Perimeter = 2(8 cm + 6 cm)
Perimeter = 2(14 cm)
Perimeter = 28 cm

Therefore, the perimeter of the rectangular piece of cardboard is 28 cm.
Hi! To calculate the perimeter of a rectangular piece of cardboard with measurements 8 cm by 6 cm, you can use the formula: Perimeter = 2(Length + Width). In this case, the length is 8 cm and the width is 6 cm.

Your answer: Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm.

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Answer:

1. 3<u<7

2. -2>d or d ≥ 2

3. -2.4 >s <5.2

4.  c >- 4 or c ⩽ -6 \(\frac{1}{2}\)

Step-by-step explanation:

Hope I am helpful!