what is the value of x?

Answer:

52 square feet.

Step-by-step explanation:

length*width=area

Top rectangle = 4ft*5ft = 20sq.ft

Bottom rectangle = 4ft*8ft = 32sq. ft

20+32=52 sq.ft OR (4*5)+(4*8)=52sq.ft

Answer:

B. Balloon mortgage with balloon payment refinanced at lower rate

Step-by-step explanation:

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.

What is photosynthesis?

Photosynthesis is the process in which green plants prepare their own food in the presence of sunlight and light energy is converted into chemical energy by the process of cellular respiration.

The process of photosynthesis takes place in green plants only due to presence of chlorophyll and materials such as sunlight, water, carbon dioxide is required for the process of photosynthesis.

The equation of photosynthesis is represented below:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂.

The process of food manufacturing in plant is done through photosynthesis and the plants are known as autotrophs as they are the producers.

In the process of photosynthesis the reactant have 6 carbon dioxide molecules and six water molecules, and light energy converted into chemical energy due to presence of chlorophyll.

Therefore, Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.

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Answer:

Step-by-step explanation:

First find how much one birthday card costs by dividing

457.50 by 15.

this equals 30.5 rupees. So one card costs 30.5 rupees.

Divide 610 by the cost of one card -

610 ÷ 30.5 = 20

So you can buy 20 cards with 610 rupees.

The probability of running out of water decreases.

The given problem can be solved by using the concept of the normal distribution. Normal distribution, also called Gaussian distribution, is a probability distribution that occurs naturally in many situations. In this distribution, data values cluster around a central point, and the further away a value is from the center, the less likely it is to occur. The normal distribution has two parameters: the mean (μ) and the standard deviation (σ). The mean is the center of the distribution, and the standard deviation is a measure of how spread out the distribution is. The normal distribution is symmetric about the mean. It is a continuous distribution, meaning that it can take any value between negative infinity and positive infinity. The area under the normal curve represents the probability of a random variable taking a certain value or falling within a certain range of values. The total area under the normal curve is equal to 1.
Given:
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter).
You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water.
What is the probability that you will run out?
We need to find the probability that the amount of water consumed by 10 people will be greater than 35 Liters. Let X be the random variable representing the amount of water consumed by each person. X is normally distributed with mean μ = 3 Liters and standard deviation σ = 1 Liter.
Then, the total amount of water consumed by 10 people is given by the sum of 10 independent identically distributed (i.i.d.) random variables:
Y = X1 + X2 + ... + X10
where X1, X2, ..., X10 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 35 Liters. Therefore, you will run out of water if:
Y > 35
or equivalently:
(Y - μ10) / σ10 > (35 - μ10) / σ10
where μ10 = 10μ = 30 Liters and σ10 = √(10)σ = √(10) Liters.
Thus, the probability that you will run out of water is:
P(Y > 35) = P[(Y - μ10) / σ10 > (35 - μ10) / σ10]
= P(Z > (35 - μ10) / σ10)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (35 - μ10) / σ10) = P(Z > (35 - 30) / √10)
= P(Z > 1.5811)
= 0.0564 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 10 people is 0.0564.
What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out?
In this case, the number of people has doubled, so the total amount of water consumed will also double. Thus, the total amount of water consumed by 20 people is given by:
Y = X1 + X2 + ... + X20
where X1, X2, ..., X20 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 70 Liters. Therefore, you will run out of water if:
Y > 70
or equivalently:
(Y - μ20) / σ20 > (70 - μ20) / σ20
where μ20 = 20μ = 60 Liters and σ20 = √(20)σ = 2.2361 Liters.
Thus, the probability that you will run out of water is:
P(Y > 70) = P[(Y - μ20) / σ20 > (70 - μ20) / σ20]
= P(Z > (70 - μ20) / σ20)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (70 - μ20) / σ20) = P(Z > (70 - 60) / 2.2361)
= P(Z > 4.4721)
= 0 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 20 people is zero.

Will the probability of running out of water increase or decrease? Why?

The probability of running out of water decreases when the number of people increases and the amount of water brought doubles. This is because the total amount of water consumed increases proportionally to the number of people, but the standard deviation of the distribution of the amount of water consumed decreases proportionally to the square root of the number of people. This means that the distribution of the total amount of water consumed becomes narrower and more concentrated around the mean as the number of people increases.

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\(c_0 = 9, c_1 = 2(9^2), c_2 = 3(9^3), c_3 = 4(9^4)\)and \(c_4 = 5(9^5)\). The radius of convergence R is infinity.

To find the coefficients of the power series representation of the function f(x) = 5/(1 - 9x)², we can expand the function using the geometric series formula. The formula states that for |x| < 1, we have:

1/(1 - 9x) = 1 + 9x + (9x)² + (9x)³ + ...

Now, let's differentiate both sides of the equation with respect to x:

d/dx [1/(1 - 9x)] = d/dx [1 + 9x + (9x)² + (9x)³ + ...]

To differentiate the left side, we can use the power rule:

d/dx [1/(1 - 9x)] = (1 - 9x)⁻²

To differentiate the right side, we differentiate each term individually. Since the derivative of x^n with respect to x is nxⁿ⁻¹, the terms with powers of x become:

d/dx [1 + 9x + (9x)² + (9x)³ + ...] = 0 + 9 + 2(9²)x + 3(9³)x² + ...

Equating the derivatives, we have:

(1 - 9x)⁻² = 9 + 2(9²)x + 3(9³)x² + ...

To obtain the coefficients of the power series representation, we compare the terms on both sides of the equation. Since the expression on the right side is already in the desired form, we can read off the coefficients as follows:

\(c_0 = 9\\c_1 = 2(9^2)\\c_2 = 3(9^3)\\c_3 = 4(9^4)\\c_4 = 5(9^5)\)

Now, let's find the radius of convergence R of the series. The radius of convergence can be determined using the ratio test. The ratio test states that if the limit of |\(c_{n+1} / c_n\)| as n approaches infinity is L, then the series converges if L < 1 and diverges if L > 1.

Applying the ratio test to our series, we have:

|\(c_{n+1} / c_n\)| = |[(n+1)(9ⁿ⁺¹)] / [n(9ⁿ)]| = 9((n+1)/n)

Taking the limit as n approaches infinity, we get:

lim(n->∞) |\(c_{n+1}/ c_n\)| = lim(n->∞) 9((n+1)/n) = 9

Since the limit is 9, which is less than 1, the series converges for all values of x within a radius of convergence R. Therefore, the radius of convergence R is infinity (R = ∞).

Therefore,\(c_0 = 9, c_1 = 2(9^2), c_2 = 3(9^3), c_3 = 4(9^4)\)and \(c_4 = 5(9^5)\). The radius of convergence R is infinity.

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Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Step-by-step explanation:

Just by inspection ( counting the squares) you can see it is more than3  and less than 11 or 15    so   area = 7 square units

Number lines are used to represent numbers at regular intervals.

Rob needs \(\mathbf{10\frac 12}\) bags of flour to make 72 muffins

From the double number line, we have:

\(\mathbf{Flour: Muffin = 1 \frac{3}{4} : 12}\)

To make 72 muffins, we substitute 72 for Muffins

\(\mathbf{Flour: 72 = 1 \frac{3}{4}: 12}\)

Rewrite as:

\(\mathbf{Flour: 72 = \frac{7}{4}: 12}\)

\(\mathbf{\frac{Flour}{ 72} = \frac{7/4}{12}}\)

Multiply both sides by 72

\(\mathbf{Flour= \frac{7/4}{12} \times 72}\)

\(\mathbf{Flour= 7/4 \times 6}\)

\(\mathbf{Flour= 10\frac 12}\)

Hence, he needs \(\mathbf{10\frac 12}\) bags of flour to make 72 muffins

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1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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The number of minutes required to wash 12 windows is 8 4/7 minutes.

According to the given question.

You can wash one window in 15 minutes, so each minute you can wash 1/15.

Your sister can wash one window in 20 minutes, so each minute the sister can wash 1/20.

If working together you can wash 1/15 + 1/20 = 7/60.

Hence, the time required to wash 12 windows together

= 12 × 7/60

= 8 4/7 minutes.

Therefore, the number of minutes required to wash 12 windows is 8 4/7 minutes.

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Answer:

the answer is -75% that mean 75% decrease

Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.

El porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.

En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.

Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.

El pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.

Entonces:

110%×P=143

Resolviendo:

P= 143 ÷ 110%

Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces  110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:

P=143 ÷ \(\frac{110}{100}\)

P= 130

Entonces, el pago original sin la mora del 10% es 130.

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The equation 3n = 6 has a solution n = 2.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have to find that which equation below is n = 2 a solution.

Then substitute n = 2;

3n = 6

3(2) = 6

This equation has a solution n = 2.

2. n-1=2

Then substitute n = 2;

2 - 1 = 1

The solution of the equation is not n = 2

3. 9+n=12

Then substitute n = 2;

9 + 2 = 11

The solution of the equation is not n = 2

4. 3+n=8

Then substitute n = 2;

3 + 2 = 5

The solution of the equation is not n = 2

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It will take the turkey about 3 hours to roast.

Answer:

no

Step-by-step explanation:

its composite

Answer:

Composite

Step-by-step explanation:

70 is a composite number as it has factors other than 1 and itself.

Answer:

15%

Step-by-step explanation:

\(\frac{138}{120}\)×100=

1.15

115%

Increase in 15%

Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.

Step-by-step explanation:

3.5 more than the quotient of h and 5 is w

Solution,

Let the number be x, then

\(3.5 + \frac{h}{5} = w\)

A country with little land and few natural resources could make up for such deficits without depending on other countries and having a healthy economy by developing its Human Capital.

Examples of small countries with low natural resources and high GDP are:

It is to be noted that of all the factors of production, (Land, labor, Capital, and Entrepreneurship) Human Capital (Labor and Entrepreneurship) are the most valuable and yield the greatest return on investment.

The Democratic Republic of the Congo is commonly regarded as the world's richest country in terms of natural resources; its undiscovered stockpiles of raw minerals are estimated to be worth more than US $24 trillion.

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

The maximum amount Kathy can contribute to a SEP IRA for 2021 is determined by her net self-employment income. It is calculated as 25% of her net earnings, up to a certain limit.

For self-employed individuals like Kathy, the maximum contribution to a SEP IRA is calculated based on their net self-employment income. In 2021, the contribution limit is 25% of net earnings, up to a maximum limit of $58,000. To calculate the maximum contribution, Kathy needs to determine her net earnings from self-employment. Net earnings are calculated by subtracting business expenses from revenues. In Kathy's case, her net earnings would be $111,000 - $42,200 = $68,800.

Since the contribution limit is 25% of net earnings, Kathy can contribute a maximum of 25% of $68,800, which is $17,200. However, it's important to note that the contribution cannot exceed the maximum limit of $58,000. Therefore, in Kathy's situation, the maximum amount she can contribute to a SEP IRA for 2021 is $17,200.

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Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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Answer:

Perimeter of the rectangle = 44 units

Step-by-step explanation:

Let the coordinates given are the vertices A(-7, 6), B(3, 6), and C(3, -6) of the rectangle.

Since, opposite sides of a rectangle are equal in length,

Fourth vertex of the rectangle will be D(-7, -6)

Length of AB = 3 - (-7) = 10 units

Length of BC = 6 - (-6) = 12 units

Length of CD = 3 - (-7) = 10 units

Length of AD = 6 - (-6) = 12 units

Therefore, perimeter of the rectangle = 2(Length + width)

                                                               = 2(12 + 10)

                                                               = 44 units

Answer: 299^2 ft

Step-by-step explanation: Literally all you have to do is Base X Hight and you get the answer. The base is basically just the length.

Hope this helps!

Answer:

I think it might be 56 degrees