what number must 200 be multiplied by to make it a perfect square​

La nueva temperatura de la congeladora industrial es de -3°C.

Si una congeladora industrial se mantiene a -8°C y aumenta su temperatura en 5°C, podemos encontrar su nueva temperatura sumando -8°C y 5°C:

-8°C + 5°C = -3°C

Por lo tanto, la nueva temperatura de la congeladora industrial es de -3°C.

La temperatura es una magnitud física que mide el grado de calor o frío de un objeto, sustancia o ambiente. Esta magnitud está relacionada con la energía cinética promedio de las moléculas que componen el objeto o sustancia, y se expresa en unidades de medida como grados Celsius (°C), grados Fahrenheit (°F) o kelvin (K).

Es importante tener en cuenta que una temperatura de -3°C sigue siendo fría, pero es importante asegurarse de que la congeladora se mantenga a la temperatura adecuada para preservar los alimentos y evitar su descomposición.

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The probability of getting a sum 10 when two dice are thrown simultaneously is 1/12.

Probability is a branch of mathematics that deals with calculating the likelihood of an event happening. The probability of a specific event is a number between 0 and 1.

The closer the probability is to 1, the more likely it is that the event will occur.

The closer the probability is to 0, the less likely it is that the event will occur.

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Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

Using subtraction of perfect squares, it is found that Deion missed the subtraction of perfect squares at the term ((x^2−4), and the correct solution would be given by:

\(10(x^2 + 4)(x + 2)(x - 2)\)

The factoring is represented by the following identity:

\(a^2 - b^2 = (a - b)(a + b)\)

In this problem, the expression is:

\(10x^4 - 160\)

The common term is 10, hence:

\(10(x^4 - 16)\)

Both \(x^4\) and 16 are perfect squares, hence:

\(x^4 - 16 = (x^2)^2 - 4^2 = (x^2 - 4)(x^2 + 4)\)

\(x^2\) and 4 are perfect squares, hence:

\(x^2 - 4 = x^2 - 2^2 = (x + 2)(x - 2)\)

This last step was missed by Deion, hence the factored expression is:

\(10(x^2 + 4)(x + 2)(x - 2)\)

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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As per the standard deviation the proportion of observations is in the interval between each pair of values is 190 and 310

The term in math known as standard deviation is defined as a measure of how dispersed the data is in relation to the mean.

Here we have know that the mean of a population is 250 and its standard deviation is 20.

Then the proportion of observations is in the interval between each pair of values is calculated as,

We have interval (190,310) and we can express this interval as:

=> (190,310) = (250−3⋅20, 250+3⋅20)

According to this interval , we have that k=3.

Based on the value of the constant the required percent of observations in interval(190,310) is at least 88.9%

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Answer:

I don't understand the "table."  I'll assume x increases over a range of values.

Step-by-step explanation:

See attached table.

Answer:

Step-by-step explanation:

Use slope formula and compare with the actual slope m = -2:

Answer:

x=3 this is my answer. ......

The nth Maclaurin polynomial for the function can be expressed in sigma notation as:

Ρη(x) = Σn=0 [(−1)^n x^n]/n!

We have the function f(x) = 1/(1+x).

The Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 are:

n = 0: p0(x) = f(0) = 1

n = 1: p1(x) = f(0) + f'(0)x = 1 - x

n = 2: p2(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 = 1 - x + x^2

n = 3: p3(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 + (1/3!)f'''(0)x^3 = 1 - x + x^2 - x^3

n = 4: p4(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 + (1/3!)f'''(0)x^3 + (1/4!)f''''(0)x^4 = 1 - x + x^2 - x^3 + x^4/4

The nth Maclaurin polynomial for the function can be expressed in sigma notation as:

Ρη(x) = Σn=0 [(−1)^n x^n]/n!

where n! denotes the factorial of n.

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\(40 = k(10) \div {4}^{2} \)

\( \frac{40}{10} = \frac{k(10) \div {4}^{2} }{10} \)

\(4 = k \div {4}^{2} \)

\(4 \times {4}^{2} = k \div {4}^{2} \times {4}^{2} \)

\(64 = k\)

//

\(216 = k {(3)}^{2}(12)\)

\( \frac{216}{ {(3)}^{2}(12) } = \frac{k {(3)}^{2}(12) }{ {(3)}^{2}(12)} \)

\(2 = k\)

//

\(72 = k {(2}^{2}) {(3}^{2})\)

\( \frac{72}{ {(2}^{2}) {(3}^{2}) } = \frac{k {(2}^{2}) {(3}^{2} ) }{ {(2}^{2}) {(3}^{2}) } \)

\(2 = k\)

//

\(90 = k(15)(2)\)

\( \frac{90}{(15)(2)} = \frac{k(15)(2)}{(15)(2)} \)

\(3 = k\)

//

\(10 = k(2)\)

\( \frac{10}{(2)} = \frac{k(2)}{(2)} \)

\(5 = k\)

//

Okay, it's pretty much the same process. That's all I can do. good luck!

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

The investment account would have $9,522.80 after 34 years.

To calculate the amount the investment account would have after 34 years, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:
A is the final amount in the account,
P is the initial amount invested,
r is the annual interest rate (expressed as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.

In this case, the initial amount invested is the money saved from not buying mocha lattes each day, which is $46 multiplied by 30 (days in a month), giving us $1,380 per month. Since the money is invested at the end of the month, we can consider it as being invested annually. Therefore, n = 1.

The annual interest rate is given as 7.03%, which, when converted to a decimal, is 0.0703. So, r = 0.0703.

The number of years is 34, so t = 34.

Now, we can substitute these values into the formula:

A = $1,380(1 + 0.0703/1)^(1*34)

Calculating the exponent first:

(1 + 0.0703/1)^(1*34) = (1.0703)^34 ≈ 6.9011

Now, we can calculate the final amount:

A = $1,380 * 6.9011 ≈ $9,522.80

Therefore, the investment account would have approximately $9,522.80 after 34 years.

It's important to note that this calculation assumes that no additional contributions are made to the investment account over the 34-year period. Additionally, the effective annual rate of 7.03% is assumed to remain constant throughout the entire period.

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o find the coordinates of the gates in the third quadrant, we need to find the points where the circle and the line intersect in the third quadrant.

Substituting y = 2x into x² + y² - 4x = 9, we get:

x² + (2x)² - 4x = 9

5x² - 4x - 9 = 0

Using the quadratic formula, we find:

x = (-(-4) ± √((-4)² - 4(5)(-9))) / (2(5))

x = (4 ± √136) / 10

We can discard the positive root since it is in the first quadrant. The negative root corresponds to the x-coordinate of the point of intersection in the third quadrant:

x = (4 - √136) / 10 ≈ -0.433

Substituting this value into y = 2x, we get:

y = 2(-0.433) ≈ -0.866

Therefore, the ordered pair that represents the location of the gates in the third quadrant is (-0.433, -0.866).

The average velocity over the given time intervals is:[4, 5]: 4.15 m/s[4, 4.5): 2.075 m/s[4, 4.1]: 0.726 m/s[4, 4.01]: 0.2298 m/s[4, 4.001]: 0.0728 m/s

Given dataAn arrow is shot upward on the moon with a velocity of 51 m/s, then its height in meters after t seconds is given by h(t) = 516 – 0.83t." Find the average velocity over the given time intervals. [4, 5]: [4, 4.5): [4, 4.1]: [4, 4.01]: [4, 4.001]:SolutionTo find the average velocity of the given time interval, we use the following formula for average velocity,V_{\rm{avg}}=\frac{\Delta s}{\Delta t}The distance function of the arrow is given by h(t). Now, we calculate the displacement of the arrow over each time interval.[4, 5]:\Delta s=h(5)-h(4)=516-0.83(5)-[516-0.83(4)]=4.15 Now, we calculate the average velocity. V_{\rm{avg}}=\frac{4.15}{5-4}=4.15 m/s[4, 4.5):\Delta s=h(4.5)-h(4)=516-0.83(4.5)-[516-0.83(4)]=2.075 Now, we calculate the average velocity. V_{\rm{avg}}=\frac{2.075}{4.5-4}=2.075 m/s 4, 4.1]: \Delta s=h(4.1)-h(4)=516-0.83(4.1)-[516-0.83(4)]=0.726 Now, we calculate the average velocity. V_{\rm{avg}}=\frac{0.726}{4.1-4}=0.726 m/s [4, 4.01]: \Delta s=h(4.01)-h(4)=516-0.83(4.01)-[516-0.83(4)]=0.2298 Now, we calculate the average velocity.V_{\rm{avg}}=\frac{0.2298}{4.01-4}=0.2298 m/s [4, 4.001]:\Delta s=h(4.001)-h(4)=516-0.83(4.001)-[516-0.83(4)]=0.0728 Now, we calculate the average velocity.V_{\rm{avg}}=\frac{0.0728}{4.001-4}=0.0728 m/s Hence, the average velocity over the given time intervals is:[4, 5]: 4.15 m/s[4, 4.5): 2.075 m/s[4, 4.1]: 0.726 m/s[4, 4.01]: 0.2298 m/s[4, 4.001]: 0.0728 m/s

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"Study smart one triangle has vertices a,b, and c. another has vertices t, r, and i, are the 2 triangles similar?"

It is not possible to determine if the two triangles are similar based on the information provided.

In order for two triangles to be similar, they must have the same shape but not necessarily the same size. The sides of the two triangles must be in proportion and corresponding angles must be congruent.

Similarity between two triangles can be determined by using the criterion of AAA similarity or SAS similarity, which states that two triangles are similar if:

without knowing the measures of the angles and sides of the triangles, it is impossible to determine if the two triangles are similar.

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The transformation of f for which the equation f(x) = g(x) would have two solutions is: B. g(x) = -f(x).

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (1, -4) and the other points (3, 0), we can determine the value of "a" as follows:

y = a(x - h)² + k

0 = a(3 - 1)² - 4

4 = 4a

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

f(x) = y = (x - 1)² - 4

For the transformed quadratic function, we have:

g(x) = -f(x)

g(x) = -(x - 1)² + 4

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The maximum total earnings the worker can receive if they are restricted to a maximum of 12 hours of work per day is $220.

What is a fixed payment? A fixed payment is an amount of money that an individual or entity receives from another party for the completion of a job or project.

In simple terms, a fixed payment is a payment that is made irrespective of how long or short the job takes to complete. It is a predetermined sum that is agreed upon by the two parties involved in the transaction.

Hence, in this scenario, if a worker receives a fixed payment of $100 plus $10 for every hour she works, the fixed payment would be $100.

How much does the worker get paid for each hour worked? If a worker receives $10 for every hour she works, then she will earn $10 x 12 = $120 in a day by working 12 hours. How much would the worker earn in total? The total earnings of the worker would be equal to the fixed payment plus the amount earned from the hours worked.

Thus, the worker's total earnings can be calculated as follows:

Total earnings = Fixed payment + Payment for hours worked

                        = $100 + $120= $220

Therefore, the maximum total earnings the worker can receive if they are restricted to a maximum of 12 hours of work per day is $220.

Option A is the correct answer.

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Answer:

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)

\(m=\frac{0-\left(-3\right)}{6-2}\)

refine

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

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)

\(\frac{3}{2}+b=-3\)

subtract 3/2 from both sides

\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)

\(b=-\frac{9}{2}\)

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

Formula for the sum of the interior angles of a polygon = (n - 2) * 180

---n is the number of sides

Number of sides = 8

(8 - 2) * 180

6 * 180

1080

Answer = 1080 degrees

Hope this helps!

The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

The appropriate nonparametric test for the given research is; One sample Wilcoxon signed rank test.

A non-parametric test is also called a distribution-free test and it unlike the parametric test, it is usually based on fewer assumptions. Thus, there is typically no need for key parameters like median, mean deviation, mean e.t.c.

Now, the types of Non parametric tests are;

In this question, we do not know the distribution of X.

where;

X is the time it takes to walk across a presumably scary portion of campus.

However, we know that X is continuous and so we will use the One sample Wilcoxon signed rank test.

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Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

Answer: The solutions of the absolute value equation are given by:

x = -41 and x = 49.

What is the absolute value function?

The absolute value function is defined by:

|x| = x, x >= 0.

|x| = -x, x < 0.

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:

x = a, or;

x = -a.

In this problem, the equation is given by:

Hence:

0.2|x - 4| = 9

|x - 4| = 45

The first possible solution is:

x - 4 = 45

x = 49.

The second possible solution is:

-x + 4 = 45

-x = 41

x = -41.

Hence the solutions are x = -41 and x = 49.

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Step-by-step explanation:

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.

The adjustment entries are the additional entries to the recorded journal entries.

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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