Problem 2
g(x) =
-10
1
(x - 1)(x - 5)
-5
10
5-
0
-5
-1pt
5
1.0
What is the value of g(0)?
Vertex:
The x-intercepts:
al noin
The y-intercept:
Domain:
Range:
Ħ Is the function increasing or
decreasing on the interval x>3?
Is the function positive or negative on the interval x<1?
Is the function increasing or decreasing on the interval x<1?

the capacity of the largest container that can measure the contents of each drum an exact number of times is 36 liters.

To find the capacity of the largest container that can measure the contents of each drum an exact number of times, we need to determine the greatest common divisor (GCD) of the volumes of the drums.

The GCD is the largest positive integer that divides each of the given numbers without leaving a remainder. In this case, we want to find the GCD of 36, 45, and 72.

First, let's find the prime factorizations of these numbers:

36 = 2^2 * 3^2,

45 = 3^2 * 5,

72 = 2^3 * 3^2.

To find the GCD, we take the product of the common prime factors raised to the lowest powers they appear in the factorizations:

GCD(36, 45, 72) = 2^2 * 3^2 = 4 * 9 = 36.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

yes

The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

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Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You want to find the height of a cone given the volume and radius.

You can find the height by using the volume formula and solving it for height.

  V = 1/3πr²h

Multiplying by the inverse of the coefficient of h gives ...

  3V/(πr²) = h

You can use this formula to find the height from the volume and radius:

  h = 3V/(πr²)

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Answer:

8x + 16

Step-by-step explanation:

because

Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

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Answer:

The answer is D

Step-by-step explanation:

x√{5^2+8^2}=√89

Answer:

\(\boxed{\tt x=\sqrt{89} }\)

Step-by-step explanation:

We'll use the Pythagorean Theorem

Equation: \(\tt a^2+b^2=c^2\)

where a and b are the lengths of the two legs of triangle, and c is the hypotenuse.

*A and b can be switched because they are legs*

\(\tt a^2+b^2=c^2\)

Plug in the side lengths:

\(\tt 5^2+8^2=x^2\)

Evaluate 5^2 and 8^2:

\(\tt 25+64=x^2\)

Add 25 and 64 = 89

\(\tt 89=x^2\)

Now, take the square root of each side:

\(\tt x=\sqrt{89} \)

_____________________________

                  \(\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)

         [refer to attachment for question] ~

    \(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

✫ First of all, Slope-intercept form is written as follows:-

                                        \(\longmapsto\Large\textbf{y=mx+b}\)

Where:-

To find:-

Solving,

           Replace m with -1/5 And b with -3:-

                 \(\large\text{$y=-\displaystyle\frac{1}{5} x-3$}\)

\(\Uparrow\)  \(\sf{the\:equation}\)

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\(\rule{300}{1}\)

Answer: $0.59

Step-by-step explanation: constant of proportionality is the number by the variable

Answer:

-2.41

Step-by-step explanation:

rearrange:

12x + 10 + 5x + 31

Or

12x + 5x + 10 + 31

Simplify and set that is = to zero so we can isolate x

17x + 41 = 0

To solve for x, we can isolate x on one side of the equation by subtracting 41 from both sides:

17x = -41

Finally, we can solve for x by dividing both sides by 17:

x = -41/17

therefore, x is equal to approximately -2.41 when we plug it back into the original equation:

12x + 10 + 5x + 31 = 0

12(-2.41) + 10 + 5(-2.41) + 31 = 0

-28.92 + 10 - 12.05 + 31 = 0

0 (which is true)

The resulting equivalent expression is -2k + 6

Equivalent expression.

Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given,

Here we have the expression -2k - (-5) + 1

Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.

First, we have to write the given expression,

=> -2k - (-5) + 1

Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:

=> -2k + 5 + 1

Here the only like term is the constant 5 and 1, so, we have to combine these constant, the  we get the expression like the following;

=> -2k + (5 + 1)

No, we have to add the constant in order to get the equivalent expression,

=> - 2k + 6

Therefore, the equivalent expression i s -2k + 6.

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Answer:

200,000 (brainliest would  be appreciated!)

Step-by-step explanation:

1. The probability of the rectangle R = {(x, y): a ≤ x ≤ b, c ≤ y ≤ d} is P(R) = 4(d - c)(b - a).

2. The probability of the triangle T = {(x, y): 0 ≤ x ≤ 2, 0 ≤ y ≤ x} is P(T) = 2.

1. To find the probability of the rectangle R = {(x, y): a ≤ x ≤ b, c ≤ y ≤ d}, we need to calculate the area of R and divide it by the area of the entire sample space Ω.

The density function f(x, y) is given as f(x, y) = 4/1 for 0 ≤ x ≤ 2 and 0 ≤ y ≤ 2. Since the density function is constant over the sample space, the probability density is uniform.

The area of the rectangle R is given by the difference in the y-coordinates multiplied by the difference in the x-coordinates, i.e., (d - c)(b - a).

The area of the entire sample space Ω is 2 * 2 = 4 (since the sample space is a square with side length 2).

Therefore, the probability of the rectangle R is P(R) = (d - c)(b - a) / 4.

2. To find the probability of the triangle T = {(x, y): 0 ≤ x ≤ 2, 0 ≤ y ≤ x}, we need to calculate the area of T and divide it by the area of the entire sample space Ω.

The triangle T is a right triangle with base and height both equal to 2. Therefore, the area of T is (1/2) * base * height = (1/2) * 2 * 2 = 2.

The area of the entire sample space Ω is 2 * 2 = 4.

Therefore, the probability of the triangle T is P(T) = 2 / 4 = 1/2.

Hence, the probability of the rectangle R is P(R) = 4(d - c)(b - a), and the probability of the triangle T is P(T) = 1/2.


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Answer: Should be 13188

Step-by-step explanation: 942x14

Answer:

13,188p

Step-by-step explanation:

942 x 14 = 13,188

Helping in the name of Jesus.

Answer:

50>23.25+4.5x

if he saves money for 5 weeks he’ll have enough money

23.25+4(6)=50.12

Step-by-step explanation:

Answer: About 6 weeks

Step-by-step explanation:

23.25+4.50x=50

4.50x=50-23.25=26.75

x=26.75/4.50=5.94

x=5.94 the 4 is repeating

Answer:

20% discount

Step-by-step explanation:

$12/$60*100% = 20%

Answer:20% discount

Step-by-step explanation:Hope this helps :3

Answer:

8(5+3)

hope this helps

It turns out that the dynamo effect depends on the presence of up to 20% nickel in the Earth's core, a metal that behaves very differently from iron under extreme temperatures.  Unlike the northern hemisphere mineral-rich crust and mantle, the core is made almost entirely of metal—specifically, iron and nickel. The shorthand used for the core's iron-nickel alloys is simply the elements' chemical symbols—NiFe. Elements that dissolve in iron, called siderophiles, are also found in the core.

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Answer: It is the first and second choice

Step-by-step explanation:

I jus took the test on edge :)

The distance between the man's feet to the top of the monument is 640.858 ft.

The distance between the man's feet to the base of the monument is 320.42 ft.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc). T

Given :

60° angle of elevation from the ground.

Height of the monument = 555 ft.

Now, using trigonometry function

sin \(\theta\) = P/H

sin 60 = 555/ H

√3/2=  555/ H

Hypotenuse = 640.858 ft.

Again, cos \(\theta\) = B/H

1/2 = B/640.858

Base = 320.42 ft.

Hence, the distance between the man's feet to the base of the monument is 320.42 ft.

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The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

Answer:

the discriminant is –16

hope this helps!

Answer:

Below in bold.

Step-by-step explanation:

The defender is at (x) = 35 yards

So height  y = (-1/40)35^2 + 35 + 6 = 10.375 ft

So as he only jumps to 9 feet he will not prevent the catch

Answer: = -3x^3 + 4x^2

Step-by-step explanation:

Answer:

-3x^3 + 4x^2

lmk if this helps

In order to add binary numbers, you add the digits starting from the rightmost position and work your way left, carrying over to the next place value if necessary. If the sum of the two digits is 2 or greater, you write down a 0 in that position and carry over a 1 to the next position.

Example : Binary addition: 10101 + 11101 Add the columns starting from the rightmost position: 1+1= 10, 0+0=0, 1+1=10, 0+1+1=10, 1+1=10 Write down a 0 in each column and carry over a 1 in each column where the sum was 2 or greater: 11010 is the result

Converting binary to hexadecimal: Starting from the rightmost position, divide the binary number into groups of four bits each. If the leftmost group has less than four bits, add zeros to the left to make it four bits long. Convert each group to its hexadecimal equivalent.

Example: 1101 0100 becomes D4 Hexadecimal addition: Add the hexadecimal digits using the same method as for decimal addition. A + B = C + 1. The only difference is that when the sum is greater than F, you write down the units digit and carry over the tens digit.

Example: 7A + 9C = 171 Start with the rightmost digit and work your way left. A + C = 6, A + 9 + 1 = F, and 7 + nothing = 7. Therefore, the answer is 171. Converting hexadecimal to binary: Convert each hexadecimal digit to its binary equivalent using the following table:

Hexadecimal Binary 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 A 1010 B 1011 C 1100 D 1101 E 1110 F 1111Then write down all the binary digits in order from left to right. Example: 8B = 10001011

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The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

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the values of a, b, c, and x are:

\(a = 1, b = 0, c = -1.125×10^-6, x = 0.0015\)

The chemical equation for the dissociation of nitrous acid, HNO2, is:

HNO2 + H2O ⇌ H3O+ + NO2-

The acid dissociation constant, Ka, is given as Ka = [H3O+][NO2-]/[HNO2]. Since HNO2 is a weak acid, we can assume that its dissociation is small compared to its initial concentration. Therefore, we can assume that [HNO2] ≈ 0.00250 M and [NO2-] ≈ [H3O+], and substitute these values into the expression for Ka:

\(Ka = [H3O+]^2 / [HNO2]\)

\(4.5×10^-4 = [H3O+]^2 / 0.00250\)

Multiplying both sides by 0.00250, we get:

\(0.00250 × 4.5×10^-4 = [H3O+]^2\)

a = 1, b = 0, and c = -0.00250 × 4.5×10^-4 = -1.125×10^-6. Therefore, the quadratic equation is:

\(x^2 - 1.125×10^-6 = 0\)

Using the quadratic formula, we can solve for x:

\(x = [-b ± sqrt(b^2 - 4ac)] / (2a)\)

Substituting the values of a, b, and c, we get:

\(x = [0 ± sqrt(0 - 4(1)(-1.125×10^-6))] / (2(1))x = [± sqrt(4.5×10^-6)] / 2x = ± 0.0015\)

Since [H3O+] cannot be negative, the only valid solution is:

x = 0.0015

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The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

\(\huge\text{Hey there!}\)

\(\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}\)

Answer:

A quarter past 9 or 9:15

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

10:20am

Step-by-step explanation:

My teacher siad lol