If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?

Answer:

There is a strong positive correlation

Step-by-step explanation:

The graph shows as more students study the higher the test score is.

Answer: the answer is D

Answer: 64.3738

Step-by-step explanation:

for an approximate result, multiply the speed value by 1.609

Answer:

64.374 kph

Step-by-step explanation:

1 mph = 1.6093427125258 kph

40 x 1.6093427125258 = 64.373708501033 kph

If the new copier costs $800 per month plus $0.25 for each copy, then the total cost for 6000 copies a month is $2300.

The total cost of leasing a copier from the Shelly group depends on the number of copies made each month.

We have to find the cost for making 6000 copies a month,

The equation to represent the total cost is represented as :

⇒ Total cost = (Monthly lease cost) + (Cost per copy × Number of copies),

⇒ Monthly lease cost = $800

⇒ Cost per copy = $0.25

⇒ Number of copies = 6000,

Substituting the values,

We get,

⇒ Total cost = $800 + ($0.25×6000)

⇒ $800 + $1500

⇒ $2300

Therefore, the total monthly cost is $2300.

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Answer:

a) 6/25, .24, 24%

b)1/25, .04, 4%

c) 0/25, .00, 0% (there is no pink)

d) 9/25, .36, 36%

Step-by-step explanation:

To find the fraction just put the number of gumballs in that color in front of the total (25)

To find the decimal divide the number of gumabalss that color by the total

The percentage is equal to the decimal in hundreths

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

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The diagram to create a similar triangle has been attached.

Similar triangles are defined as triangles that possess the same shape, but then their sizes will likely vary. We can also say that two triangles are referred to as similar if they possess the same ratio of its' corresponding sides and also an equal pair of corresponding angles

The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.

In the diagram below attached, we see that the two triangles are ABC and ABD. Thus, the right angles are located at vertex C and vertex B, respectively.

Thus, it has been created with the given measurements

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Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

The critical numbers of the function h(p) = (p - 1) / (p^2 - 5) are "dne" (does not exist).

To find the derivative of h(p), we can apply the quotient rule. Taking the derivative, we have:

h'(p) = \([(p^2 - 5)(1) - (p - 1)(2p)] / (p^2 - 5)^2\)

Simplifying this expression, we get:

h'(p) = \((p^2 - 5 - 2p^2 + 2p) / (p^2 - 5)^2\)

= \((-p^2 + 2p - 5) / (p^2 - 5)^2\)

To find the critical numbers, we set h'(p) equal to zero and solve for p:

\(-p^2 + 2p - 5 = 0\)

However, this quadratic equation does not factor easily. We can use the quadratic formula to find the solutions:

p = (-2 ± √\((2^2 - 4(-1)(-5))) / (-1)\)

p = (-2 ± √(4 - 20)) / (-1)

p = (-2 ± √(-16)) / (-1)

Since the discriminant is negative, the equation has no real solutions. Therefore, the critical numbers of the function h(p) = (p - 1) / (\(p^2\) - 5) are "dne" (does not exist).

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Answer:

false it does not change the shape but it does change the size

Step-by-step explanation:

False, because Dilating a triangle changes the size of the triangle but does not change its shape.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Since,

Dilation is a type of transformation which stretches and reduces the size of the original figure.

A dilation has a center of dilation and a dilation scale factor. If the scale factor is less than one then the original size will shrink, and if the scale factor is greater than one then the figure will increase in size.

Dilation transformation does not alter the shape of a figure but  alters the size by making it bigger or smaller.

Thus, We can say that;

Dilating a triangle changes the size of the triangle but does not change its shape.

Hence, Statement is incorrect.

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Based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

For this case we have the following data given:

n = 1600 represent the sample size select.

dp = 0.43, which,  represent the estimated proportion of high school students that have a part time job

N= 15000000 represent the total population size

And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition: “We need to have Bernoulli trials must be independent.

If that assumption is not satisfied, it is  still okay to proceed if we have that the sample is smaller than 10% of the population.”"One of the conditions to be checked before using the normal model for sample proportions is, “The sample size, n, must be no larger than 10% of the population.

”So based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000

And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

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Answer:

the speed is 20 m/s

Step-by-step explanation:

The computation of the speed is as follows

As we know that

Speed = Distance ÷ time

where,

Distance is 420 meters

And, the time is 21 seconds

So, the speed is

= 420 ÷ 21

= 20 m/s

hence, the speed is 20 m/s

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer: 2x = 18

Step-by-step explanation:

x = 9

2x = 2(9) = 18

Answer:

Step-by-step explanation:

x + 46 = 90

x = 44

m<4 = 44

To find the length of the curve given by x=6t^2 and y=5t^3, the exact length of the curve x=6t^2 and y=5t^3 for 0≤t≤1 is approximately 7.697 units long.

To find the length of the curve given by x=6t^2 and y=5t^3, we need to use the arc length formula, which is:
L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 dt
Here, a=0 and b=1 since 0≤t≤1. Also, dx/dt = 12t and dy/dt = 15t^2. Substituting these values in the above formula, we get:
L = ∫[0,1] √(12t)^2 + (15t^2)^2 dt
Simplifying, we get:
L = ∫[0,1] √(144t^2 + 225t^4) dt
Taking out the common factor of t^2 inside the square root, we get:
L = ∫[0,1] t√(144 + 225t^2) dt
To evaluate this integral, we need to make a substitution u = 144 + 225t^2, which gives du/dt = 450t. Substituting these values, we get:
L = (1/450) ∫[144,369] √u du
Now, we can evaluate the integral using the power rule of integration:
L = (1/450) * [(2/3) u^(3/2)]_144^369
Simplifying, we get:
L = (1/450) * [(2/3) * (369^(3/2) - 144^(3/2))]
L = 7.697
Therefore, the exact length of the curve x=6t^2 and y=5t^3 for 0≤t≤1 is approximately 7.697 units long.

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if the function is divided and we get the remainder of  zero then  it is said to be a factor of a function

According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.

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Answer: m=5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = \(\frac{3x}{x^2-3x-10}\)

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

                 = x(x - 5) + 2(x - 5)

                 = (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = \(\frac{3x}{(x + 2)(x - 5)}\)

Asymptotes 4

h(x) = \(\frac{(x-5)}{x^{2} + 14x + 40}\)

      = \(\frac{x-5}{x^{2}+10x+4x+40}\)

      = \(\frac{x-5}{x(x+10)+4(x+10)}\)

      = \(\frac{x-5}{(x+10)(x+4)}\)

Answer:

30/40 and 12/16 are equivalent fractions.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Therefore, the control represented by the decimal value 15 is the one with all four bits set to 1.

In digital electronics, binary digits (bits) are used to represent numbers and control various devices. Each bit can have a value of either 0 or 1, and by combining multiple bits, we can represent larger numbers or control signals. The decimal system, which we are most familiar with, uses 10 digits (0-9) to represent numbers. In contrast, the binary system uses only 2 digits (0 and 1) to represent numbers or controls. To convert a decimal number to binary, we repeatedly divide the number by 2 and keep track of the remainders. The binary representation of a number is the sequence of remainders read in reverse order.

The decimal value 15 can be represented as a control with four binary digits (bits), as follows:

1 1 1 1

Each bit represents a power of 2, from right to left: 2^0, 2^1, 2^2, 2^3. Adding up the powers of 2 where there is a 1 in the binary representation gives us the decimal value.

So, in this case, we have:

1x2^0 + 1x2^1 + 1x2^2 + 1x2^3 = 1 + 2 + 4 + 8 = 15

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Answer:

Step-by-step explanation:

The probability that no one enters between 12:00 and 12:05 is 0.082.

The probability that at least 4 people enter the casino during that time is 0.242

Given that people enter the casino at the rate of 1 every 2 minutes. A random variable X is defined as the number of people entering the casino between the time period of 12:00 and 12:05. Since we are given in the question that people enter the casino at the rate of 1 every minute, hence in the given time period they enter at the rate of 2.5.

P(X=0) = \(e^{-2.5}\) = 0.082

Hence the probability that no one enters between 12:00 and 12:05 is 0.082.

The required probability is simply

P(X≥4) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)

= 1 - \(e^{-2.5}\) - 2.5\(e^{-2.5}\) - (((2.5)² / 2)\(e^{-2.5}\) ) - (((2.5³)/3!)\(e^{-2.5}\))

= 0.242

Hence, the probability that at least 4 people enter the casino during that time is 0.242

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a) The other terms of the polynomial function f(x) = 7x² + x¹-5 are x¹ and -5. b) The leading term of the polynomial function f(x) is 7x². c) The degree of the polynomial function f is 4. d) The leading coefficient of the polynomial function f is 7.

a) In the polynomial function f(x) = 7x² + x¹-5, the term 7x² is the leading term. The other terms are x¹ and -5. Each term in a polynomial consists of a coefficient multiplied by a variable raised to a certain power.

b) The leading term of a polynomial is the term with the highest degree, meaning it has the highest exponent of the variable. In this case, the leading term is 7x² because it has the highest power of x.

c) The degree of a polynomial is determined by the highest exponent of the variable in any term of the polynomial. In the polynomial function f(x) = 7x² + x¹-5, the highest exponent is 2, so the degree of the polynomial is 2.

d) The leading coefficient of a polynomial is the coefficient of the leading term, which is the term with the highest degree. In this case, the leading coefficient is 7 because it is the coefficient of the leading term 7x². The leading coefficient provides information about the behavior of the polynomial and affects the shape of the graph.

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Answer:

57%

Step-by-step explanation:

Answer:

I think the first one 57%

Step-by-step explanation:

hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤

Los números racionales son números que se pueden expresar en la forma a/b donde a y b son números enteros y b ≠ 0.

Los números racionales también se conocen como números fraccionarios. En los números racionales de la forma a/b, el número a representa el cuantificador y b es el denominador del número racional.

Qué pasa si el valor de b = 0?

Si un número fraccionario o racional tiene un denominador de 0, como 1/0; 2/0; 10/0; y otros, entonces el número fraccionario o racional no está definido.

Los números racionales también se pueden reclasificar en números enteros, números enteros, números naturales y otros grupos de números que forman parte de los números racionales.

Algunos ejemplos de números racionales como 1/2, 2/3, 5/7, 12/7 y otros.

En los números racionales también hay varias operaciones simples como la suma, la resta, la multiplicación, la división y otras operaciones numéricas.

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Answer:

D

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation: