please help me i'm honestly not good at math and this is due soon!

Answer:

\(9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9\)

\( \looparrowright \sf9(b + 5) - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 45 = - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 4b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b = - 45\)

\( \\ \\ \)

\( \looparrowright \sf \: b = - 45 \div 5\)

\( \\ \\ \)

\( \looparrowright \sf \: b = -9\)

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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Answer:

--------------------------------------------

Given formula:

Convert it as below:

Answer:

Slope of line (3,1)(5,-3) is -2

Answer:

Before we begin, I am assuming that each square is one unit for this problem. Now, in order to find the slope of this line, we must determine the change in x and the change in y, and write them as y/x. Based on the diagram the change in x is -2 and the change in y is 4, so it's written as -4/2 = 2. So the slope of this line is 2.

Step-by-step explanation:

The equation of the hyperbola centered at (-2, -4) with vertices at (-3, -4) and (-1, -4) and foci 10 units apart is ((x+2)^2)/(1/4) - ((y+4)^2)/(124/4) = 1, or equivalently, (x+2)^2/0.25 - (y+4)^2/31 = 1.

The center of the hyperbola is the midpoint of the segment between the vertices, which is ((-3-1)/2, (-4-4)/2) = (-2, -4). Since the foci are 10 units apart, the distance from the center to each focus is c = 10/2 = 5. The distance between the vertices is 2a, where a is the distance from the center to each vertex, so a = |-3 - (-2)|/2 = 1/2. The distance between each focus and vertex is b, where b^2 = c^2 - a^2, so b = sqrt(5^2 - (1/2)^2) = sqrt(124)/2. The equation of the hyperbola centered at (-2, -4) with vertices at (-3, -4) and (-1, -4) and foci 10 units apart is ((x+2)^2)/(1/4) - ((y+4)^2)/(124/4) = 1, or equivalently, (x+2)^2/0.25 - (y+4)^2/31 = 1.

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The answers to the graph that shows the function y = q* are solved and stated above.

       \($e^{x} =\sum _{k=0}^{\infty }{\frac {x^{k}}{k!}}=1+x+{\frac {x^{2}}{2}}+{\frac {x^{3}}{6}}+{\frac {x^{4}}{24}}+\cdots }\)

Given is a exponential graph as shown in the image.

The coordinates of the point of intersection of the curve with the y-axis is (0, 1).

The function is -

y = qˣ

At x = 1, y = 4. So, we can write -

4 = q

q = 4

y = 4ˣ

y = 4¹⁰

y = 64 x 64 x 64 x 4

y = 1048576

Therefore, the answers to the graph that shows the function y = q* are solved and stated above.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)

a. The distribution of Z=X+Y is fZ(z) = 0

b. The distribution of  Z=X/Y is a constant distribution with fZ(z)

To find the distribution of Z in both cases, we need to use the concept of convolution for the sum of random variables.

(a) Z = X + Y:

Since X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter λ = 1, we can find the distribution of Z by convolving the probability density functions (PDFs) of X and Y.

The PDF of X is a constant function over the interval (0,1) and is given by:

fX(x) = 1, for 0 < x < 1

fX(x) = 0, otherwise

The PDF of Y, being exponentially distributed with parameter λ = 1, is given by:

fY(y) = λ * exp(-λy), for y > 0

fY(y) = 0, otherwise

To find the distribution of Z, we convolve the PDFs of X and Y:

fZ(z) = ∫ fX(z-y) * fY(y) dy

= ∫ 1 * exp(-y) dy, for z-1 < y < z

Integrating the above expression:

fZ(z) = [-exp(-y)] from z-1 to z

= exp(-(z-1)) - exp(-z), for 1 < z < 2

= 0, otherwise

Therefore, the distribution of Z = X + Y is given by:

fZ(z) = exp(-(z-1)) - exp(-z), for 1 < z < 2

fZ(z) = 0, otherwise

(b) Z = X/Y:

To find the distribution of Z, we can use the method of transformation of random variables.

Let's define W = X/Y. We can find the cumulative distribution function (CDF) of W, and then differentiate to obtain the PDF.

The CDF of W can be expressed as:

FZ(z) = P(Z ≤ z) = P(X/Y ≤ z)

To proceed, we'll consider two cases separately:

Case 1: z > 0

In this case, we have:

FZ(z) = P(X/Y ≤ z) = P(X ≤ zY) = ∫[0,1] ∫[0,zy] 1 dy dx

= ∫[0,1] zy dy dx

= z ∫[0,1] y dy dx

= z [y^2/2] from 0 to 1

= z/2

Case 2: z ≤ 0

In this case, we have:

FZ(z) = P(X/Y ≤ z) = P(X ≥ zY) = 1 - P(X < zY) = 1 - ∫[0,1] ∫[0,zy] 1 dy dx

= 1 - ∫[0,1] zy dy dx

= 1 - z ∫[0,1] y dy dx

= 1 - z [y^2/2] from 0 to 1

= 1 - z/2

Therefore, the CDF of Z = X/Y is:

FZ(z) = z/2, for z > 0

FZ(z) = 1 - z/2, for z ≤ 0

Differentiating the CDF, we obtain the PDF:

fZ(z) = 1/2, for z > 0

fZ(z) = 1/2, for z ≤ 0

Therefore, the distribution of Z = X/Y is a constant distribution with fZ(z)

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infinitely many solutions

\(m+7=3+m+4\)

Combine like terms

\(m+7=7+m\)

Rearrange variables to the left side of the equation

\(m-m=7-7\)

Apply the Inverse Property of Addition

\(m-m=7-7\\ 0=0\)

Bases on the given conditions, the (system of) equation(s) has

\(infinitely\ many\ solutions\)

I hope this helps you

:)

Statistical guidance should perform well in situations such as clinical trials and market research where rigorous data analysis and inference are necessary. Statistical methods provide a systematic approach to control biases, handle variability, and draw reliable conclusions, ensuring accurate decision-making and predictions based on the data.

Statistical methods are crucial in determining sample sizes, designing the study, and analyzing the data to draw valid conclusions about the effectiveness and safety of the treatment.

In this situation, statistical guidance should do well because it provides a systematic framework to control for biases, random variability, and confounding factors, ensuring robust and reliable results that can be generalized to a larger population.

One example where statistical guidance should perform well is in clinical trials for new drugs or treatments.

Another example is in market research and opinion polling. Statistical techniques can be used to collect and analyze data from a representative sample of the target population, allowing for accurate estimation and prediction of consumer preferences, market trends, or election outcomes.

Statistical guidance should do well in this situation because it provides methods for random sampling, hypothesis testing, and confidence interval estimation, which help minimize sampling errors and increase the reliability of the findings.

Additionally, statistical models can capture complex relationships and make accurate predictions based on the observed data.

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Answer:

Marcia is 47 inches tall.

Step-by-step explanation:

Let's solve this step by step and try to visualize the situation.

• Carl: 73 inches tall

The second part of the question states that Carl's heigh is twenty-one inches less than two times Marcia's height. Add 73 + 21 to equal 94. Since Carl is 21 inches less that means that Maria is 21 inches more ( so that's why I added instead of subtracting) because we are trying to find Maria's equation.

Let x be Marcia's height

2x = 94

• The question staes that 73 is 21 inches less than two times Marcia's height which means that the equation 2x = 94 applies because 73 + 21 = 94

After simplifying the equation, we can get the answer that Marcia is 47 inches tall.

Answer:

Step-by-step explanation:

Givens

Carl  = 73

Marcia = 2x - 21 = 73

Solution

2x - 21 = 73                           Add 21 to both sides.

2x = 73 + 21                          Combine

2x = 94                                 Divide by 2

2x/2 = 94/2

x = 47

Answer:

Step-by-step explanation:

To solve this problem, we will use the principle of inclusion-exclusion. Let $A_i$ be the set of integers not exceeding 10,000 that are divisible by the prime number $p_i$, for $p_i\in{3,4,7,11}$. We want to find the number of integers that are not in any of these sets $A_i$.

The number of integers not exceeding 10,000 that are divisible by $p_i$ is given by $\lfloor 10,000/p_i\rfloor$. For example, the number of integers divisible by 3 is $\lfloor 10,000/3\rfloor=3333$. However, some integers are divisible by more than one of the primes $p_i$, and we don't want to count them twice.

The number of integers not exceeding 10,000 that are divisible by two of the primes $p_i$ is given by $\lfloor 10,000/(p_ip_j)\rfloor$, where $p_i\neq p_j$. For example, the number of integers divisible by both 3 and 4 is $\lfloor 10,000/(3\times 4)\rfloor=833$.

Similarly, the number of integers divisible by three of the primes $p_i$ is $\lfloor 10,000/(3\times 4\times 7)\rfloor=59$, and the number of integers divisible by all four primes is $\lfloor 10,000/(3\times 4\times 7\times 11)\rfloor=4$.

Using the principle of inclusion-exclusion, the number of integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11 is given by:

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Therefore, there are 3754 positive integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11.

An appropriate range of values for the diameter of the iron dowel is given as follows:

Between 0.335 and 0.355.

An appropriate range of values for the diameter of the iron dowel is given by the specified measure plus/minus the margin of error.

The specified measure for this problem is given as follows:

0.345 inches.

Hence the lower bound of values is given as follows:

0.345 - 0.01 = 0.335 inches.

The upper bound of values is given as follows:

0.345 + 0.01 = 0.355.

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The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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Answer:

Step-by-step explanation:

its (x+1,y+-3)

The absolute threshold is defined as the minimum detectable stimulus or intensity.

The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.

In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.

The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.

Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.

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the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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Answer:

B: -2

Step-by-step explanation:

Find the slope by counting how many times it would take to reach a point. For example, (0,1). Or use you could use the slope formula by finding two coordinates

Answer:

392in

Step-by-step explanation:

find the areas of all the sides of this shape. Of one you might have to split it into two shpaes.

The product of two rational numbers is a rational number.

Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy it is shown by individuals' various situations inside the financial conveyance abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.

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Answer: A rational Number

Step-by-step explanation:

Answer:

2730

Step-by-step explanation:

700*39/10

700*39 = 27300

Then you divide by 10

So 2730.

Answer:

162

Step-by-step explanation:

the pattern in the denominators is ' multiply by 3 '

that is

2 × 3 = 6

6 × 3 = 18

18 × 3 = 54

then the next denominator is

54 × 3 = 162

Answer:

162

Step-by-step explanation:

The multiplication number will be 3.

2x3=6

6x3=18

18x3=54

54x3=162. and so on.

Just make sure to multiply your next answer by 3.

If AC = 13 and  BC = 10 then the radius is  8.30.

Given that,

For the given triangle,

AC = 13

BC = 10

Here we can see that the perpendicular of triangle is the radius circle.

Then,

We have to calculate AB

The given triangle ABC is right angled triangle,

We know that the Pythagoras theorem for a right angled triangle:

Therefore,

⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (AC)²= (AB)² + (BC)²

⇒    13² = (AB)² + 10²

⇒ (AB)² = 169 - 100

⇒ (AB)² =  69

⇒    AB = 8.30

Hence the radius of circle  is 8.30.

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The complete question is attached below:

Answer:

1. 43/2

2. 371/50

3. 31/8

Answer:

18 marbles

Step-by-step explanation:

Step 1

Express the fraction of each type of marble as a function of the total number of marbles as shown;

Let;

total marbles=x

red marbles=3/(3+4)=3/7x

blue marbles=4/7 x

But x=42 marbles

The total number of marbles for each type can be expressed as;

total number of red marbles=fraction of red marbles×total number of marbles

where;

fraction of red marbles=3/7 x

total number of marbles=42

replacing;

total number of red marbles=(3/7)×42=18 marbles

total number of blue marbles=fraction of blue marbles×total number of marbles

where;

fraction of blue marbles=4/7 x

total number of marbles=42

replacing;

total number of blue marbles=(4/7)×42=24 marbles

Answer:

NO asymptotes in this function

Step-by-step explanation:

because there is no restriction in this function

the asymptotes usually happen there is a fraction type for ex: the variable is in the denominators

Answer:

12

Step-by-step explanation:

I think that’s the only thing that makes sense.

Answer:

12

Step-by-step explanation:

Hope this helps.

There are 379959390 ways to form a committee of 6 U.S. Senators with 3 Democrats and 3 Republicans.

There are a total of 53 Democratic Senators and 47 Republican Senators. We need to form a committee of 6 U.S. Senators with 3 Democrats and 3 Republicans. We can use the combination formula to find the number of ways to select 3 Democrats from 53 and 3 Republicans from 47. The combination formula is:

\(C^{n}_r = \frac{n! }{(r! * (n-r)!)}\)


For the Democrats:

\(C^{53}_3 = \frac{53! }{(3! * (53-3)!)} \\\\C^{53}_3 = \frac{53! }{(3! * 50!)} \\\\C^{53}_3 = \frac{53*52*51 }{(3*2*1)} \\\\C^{53}_3 =23426\)

For the Republicans:

\(C^{47}_3 = \frac{47! }{(3! * (47-3)!)}\\\\C^{47}_3 = \frac{47! }{(3! * 44!)}\\\\C^{47}_3 = \frac{47*46*45 }{3*2*1}\\\\C^{47}_3 =16215\)

Now we can multiply the two results to find the total number of ways to form the committee:

23426 * 16215 = 379959390

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