What number must you add to the polynomial below to complete the square?2-26xAnswer hereSUBMIT

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

45 + 21e   3  (7e  +15)

Step-by-step explanation:

The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be

⇒ 45 + 21e

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4(3e+2) + 9(e+4) + 1

Now,

We can simplify the expression as;

⇒ 4(3e+2) + 9(e+4) + 1

⇒ 12e + 8 + 9e + 36 + 1

⇒ 21e + 45

⇒ 45 + 21e

Thus, The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be;

⇒ 45 + 21e

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

40

Step-by-step explanation:

Volume of tank is 40m. Carrying capacity therefore results to 40m. Formula for meters to kiloliters is 1 meter to 1 kiloliter. Therefore 40m volume equals 40 kiloliters in volume.

Answer:

Step-by-step explanation:

Volume of tank = length * width * height

                         = 5 * 4 * 2

                         = 40 cubic meter

1 cubic meter = 1 kilo liter

40 cubic meter = 40 kilo liter

We are going to be checking each statement in order to find which of them are correct:

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.

In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:

f ° g (x) = f [g (x)]

Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:

g ° f (x) = g (f (x))

g ° f (x) = 2 · [(3 · x - 7) / 4]  - 1

g ° f (x) = (3 · x - 7) / 2 - 1

g ° f(x) = (3 / 2) · x - 7 / 2 - 1

g ° f(x) = (3 / 2) · x - 9 / 2

g ° f(0) = (3 / 2) · 0 - 9 / 2

g ° f(0) = - 9 / 2

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Answer:

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Step-by-step explanation:

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Answer:

58-(14)2

58-28

30

Step-by-step explanation:

Answer:

Height of the Dom is 112.18 m.

Step-by-step explanation:

The tallest church tower in the Netherlands is the Dom Tower in Utrecht. The angle of elevation to the top of the tower is 77° when 25.9 m from the base. It is required to find the height of the Dom Tower. Let its height is h. So, using trigonometric formula to find it as :

\(\tan\theta=\dfrac{h}{b}\\\\\tan(77)=\dfrac{h}{25.9}\\\\h=\tan(77)\times 25.9\\\\h=112.18\ m\)

So, the height of the Dom is 112.18 m.

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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The directly proportional relationship between p and q is written as

p ∝ q  where that middle sign is the sign of proportionality. The pressure when the volume is 9L is 90 kPa.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p ∝ q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Boyle's Law says that the volume of a gas varies inversely with the pressure. Therefore, we can write,

Volume ∝ (1/Pressure)

V ∝ (1/P)

V = k/P

When the volume of a certain gas is 6L, the pressure is 135 kPa (kilopascals). Therefore,

6L × 135 kPa = k

k = 810 L-kPa

Now, the pressure when the volume is 9L is,

V = k/P

P = k/V

P = 810 L-kPa / 9L

P = 90 kPa

Hence, the pressure when the volume is 9L is 90 kPa.

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Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

Answer:

Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms

Answer:

\((x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5\)

\((x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6\)

Step-by-step explanation:

In order to find the values of \((x+y)^5\) and \((x+y)^6\), you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

\((x+y)^5\) = \(\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i\) = \(\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5\) = \(x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5\).

\((x+y)^6\) = \(\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i\) = \(\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6\)= \(x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6\).

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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She needs to pay N $8378.31 in two and a half years from now to meet her obligation.

What are the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's first calculate the total interest on the loan for three and a half years:

Interest = Principal × Rate × Time

Interest = 20000 × 0.05 × 3.5

Interest = 3500

So, the total amount she needs to pay back on maturity is:

20000 + 3500 = N$23500

Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:

N$23500 - N$2000 - N$5000 = N$16500

So, she needs to pay N$16500 in two and a half years from now to meet her obligation.

Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:

PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)

where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

Using this formula, we get:

PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)

PV = N$13658.80

So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:

PV = \(PMT \times (1 + r)^{(-n)}\)

N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)

PMT = N$8378.31

Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.

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Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

The interquartile range of the data will be 0.215.

The lower half is:

7.86, 7.87, 7.99, 8.03

The median of the lower half is:

(Q1) = (7.87 + 7.99) / 2 = 7.93

The upper half is:

8.06, 8.08, 8.09, 8.20, 8.43

The median of the upper half is:

(Q3) = (8.09 + 8.20) / 2 = 8.145

The IQR is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 8.145 - 7.93 = 0.215

Lower outlier threshold: Q1 - 1.5 x IQR = 7.93 - 1.5 x 0.215 = 7.5955

Upper outlier threshold: Q3 + 1.5 x IQR = 8.145 + 1.5 x 0.215 = 8.4795

None of the data points fall outside these thresholds, so there are no outliers in this data set.

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Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

The effective annual rate is 11.03%

Step-by-step explanation:

The effective interest rate is calculated through the formula:

\(r = (1 + i/n)^n - 1\)

In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.

For a quarterly compounded interest, n=4. The APR i=10.60%=0.106

Given an APR r, the effective annual rate for a quarterly compound is:

\(r = (1 + 0.106/4)^4 - 1=1.0265^4-1\)

\(r=1.11029-1=0.1103\)

The effective annual rate is 11.03%

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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The solution to the integral of e^√x with respect to x is:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C.

The integral of e^√x with respect to x is:

∫ e^√x dx

This integral can be solved using substitution. Let u = √x, then du/dx = 1/(2√x), which means that dx = 2u du.

Substituting these values, the integral becomes:

∫ e^√x dx = ∫ e^u * 2u du

This integral can be solved using integration by parts.

Let u = u and dv = e^u * 2u du, then du/dx = 0 and v = e^u.

Using the integration by parts formula, we have:

∫ e^√x dx = ∫ e^u * 2u du

= u * e^u - ∫ e^u du

Simplifying this expression, we get:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C

where;

Therefore, the solution to the integral of e^√x with respect to x is:

∫ e^√x dx = 2√x * e^√x - 2e^√x + C

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Answer:

option b

Step-by-step explanation:

x is greater than or equal to 66

Answer:

Option B

Have a nice day! :)

Answer:

B, 7/20

Step-by-step explanation:

If two events are mutually exclusive that means that there is no intersection

so in the union formula: AUB=A+B-A∩B

A∩B=0

we can write P(a)=x

7/10=7/20+x+0

7/10-7/20=x

x=7/20