HELP please it’s due in a hour

Given:

The length of bolt he will need = \(\dfrac{7}{8}\) of an inch

The length of bolt he use = \(\dfrac{6}{8}\) of an inch

To find:

How much longer does the bolt need to be in order for Larry to fix his refrigerator handle.

Solution:

We need to subtract the length of bolt he uses from the length of bolt he needs to find the how much longer does the bolt need to be in order for Larry to fix his refrigerator handle.

\(\text{More length}=\dfrac{7}{8}-\dfrac{6}{8}\)

                             \(=\dfrac{7-6}{8}\)

                             \(=\dfrac{1}{8}\)

Therefore, \(\dfrac{1}{8}\) of an inch more the bolt need to be in order for Larry to fix his refrigerator handle.

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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The statement "For linear functions, the slope of any secant line always equals the slope of any tangent line" is true.

Linear functions are represented by the equation y = mx + b, where m represents the slope and b is the y-intercept. Since linear functions have a constant rate of change, their graph forms a straight line.

A secant line is a line that intersects the graph at two distinct points. A tangent line, on the other hand, is a line that touches the graph at only one point without crossing it. For linear functions, the slope of the secant line connecting any two points on the graph will always be the same because the rate of change is constant throughout the function.

Similarly, the slope of the tangent line at any point on the graph of a linear function will also be the same as the function's slope. This is because, in a linear function, the tangent line coincides with the function's graph itself. Hence, the slopes of both secant and tangent lines are equal to the slope of the linear function.

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There are 24 5-pound bags of potatoes in the crate.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's use algebra to solve the problem.

Let's say the number of 5-pound bags of potatoes in the crate is x.

Then we can set up an equation based on the total weight of the crate:

Total weight = weight of 6 10-pound bags + weight of x 5-pound bags

We know the weight of the 6 10-pound bags is:

6 * 10 = 60 pounds

And we know the total weight of the crate is 180 pounds. So we can plug in these values and the weight of x 5-pound bags to get:

180 = 60 + 5x

Simplifying this equation, we get:

5x = 120

Dividing both sides by 5, we get:

x = 24

Therefore, there are 24 5-pound bags of potatoes in the crate.

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(a) P(X<3) = 0.8857

To find the probability P(X<3), we need to calculate the area under the density curve of the random variable X from x=1 to x=3.

\Since X is a continuous random variable, the probability is equal to the integral of the density function f(x) over the interval [1, 3].

The given density function is f(x) = (21/2)(1+x)^(-1). We can integrate this function with respect to x over the interval [1, 3] to find the desired probability.

Integrating f(x) from x=1 to x=3, we have:

P(X<3) = ∫[1 to 3] (21/2)(1+x)^(-1) dx

Evaluating this integral, we find:

P(X<3) = -21/2 * [ln(1+x)] [from 1 to 3]

      = -21/2 * [ln(4) - ln(2)]

      ≈ 0.8857

Therefore, P(X<3) is approximately 0.8857.

(b) P(2≤X<3) = 0.3920

To find the probability P(2≤X<3), we need to calculate the area under the density curve of X from x=2 to x=3. Again, we integrate the density function f(x) over the interval [2, 3]:

P(2≤X<3) = ∫[2 to 3] (21/2)(1+x)^(-1) dx

Evaluating this integral, we find:

P(2≤X<3) = -21/2 * [ln(1+x)] [from 2 to 3]

        = -21/2 * [ln(4) - ln(3)]

        ≈ 0.3920

Therefore, P(2≤X<3) is approximately 0.3920.

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Answer:

9,-9

Step-by-step explanation:

Because your opponent is in the positive while you are in the negative

Answer:

Improper fraction: 11/4

Decimal: 2.75

Mixed number form: 2 3/4

Answer: 2.75

Step-by-step explanation:you can do 11/1 x 1/4 to get the answer.

Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

The formula for the variance of the MLE estimator of β₀ is:

Var(β₀) = {σ²}{n} [ 1 + x²} / {∑{i=1}ⁿ (x_i - x²}

For the simple linear regression model, we have:

\(y_{i} = \beta_{0} + \beta _{1} x_{i} + epsilon_{i}\)

where y(i) is the response variable, x (i) is the predictor variable, β₀ and β₁ are the intercept and slope parameters, and ∈(i) is the error term.

To find the variance of the MLE estimators of β₀ and β₁, we first need to derive the MLEs for these parameters:

β₁= {sum{i=1}ⁿ (xi - {x})(y_i - {y})}/{{i=1}ⁿ (x_i - {x})²}

β₀ = {y} -  β₁x

where x and y are the sample means of the predictor and response variables, respectively.

Next, we need to find the variances of these estimators. The formula for the variance of the MLE estimator of β₁ is:

$Var( β₁) = σ²∑{i=1}ⁿ (x_i - x²)

where , σ² is the variance of the error term.

And, the formula for the variance of the MLE estimator of β₀ is:

Var(β₀) = {σ²}{n} [ 1 + x²} / {∑{i=1}ⁿ (x_i - x²}

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Antiderivatives are the inverse operation of derivatives. They can be found by adding a constant of integration to the function being integrated.

To determine which of (I)-(V) are antiderivatives of f(x) = ln(x), we need to take the derivative of each option and check if it matches f(x). To determine which of the given options are antiderivatives of f(x), we should consider the derivatives of the options and compare them to f(x). Recall that x > 0.
The derivative of option I (1/x) does not match f(x), so it is not an antiderivative.
The derivative of option III ((1/x) + (1/3)) matches f(x), so it is an antiderivative.
The derivative of option IV (1/x) does not match f(x), so it is not an antiderivative.
The derivative of option V (1/(x+1)) matches f(x), so it is also an antiderivative.
Therefore, options III and V are antiderivatives of f(x) = ln(x).
To determine which of the given options are antiderivatives of f(x), we should consider the derivatives of the options and compare them to f(x). Recall that x > 0.

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Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

20=16−b−15

20=1−b

b= -19

Answer:

-9

Use papa math for all your hard equations (not sponsored)

Answer:

10,200 Dollars

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 7500(1 + (0.06 × 6)) = 10200  

A = $10,200.00

Answer:

no solutions

Step-by-step explanation:

I attached the pic of solution

Answer:

328 metros

Step-by-step explanation:

Aquí, estamos interesados ​​en colocar un bucle alrededor de un campo de fútbol de la escuela de manera que sea imposible que alguien pueda acceder al campo.

Matemáticamente, la longitud de este bucle sería igual al perímetro del campo.

El perímetro del campo rectangular se puede calcular usando la fórmula; 2 (L + B)

En este caso tenemos; P = 2 (100 + 64)

P = 2 (164)

P = 328 metros La longitud del bucle es de 328 metros.

Answer:

I do not quite understand, but i will give it my best shot. 15 > -15.

Step-by-step explanation:

The correct option would be:

{x | x ≥ -5}

I had this same question on a test and I got it right.

Radioactivity decay, half-life, and population decay are only a few of the forms of decay that may be calculated using the exponential decay formula.

The term "exponential decay" describes a process in which a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks.

The population decline and radioactive decay are two examples of exponential decay. The data obtained can be used to make predictions about the population of a city or colony in the future as well as the half-life of radioactive materials.

The exponential decay formula aids in determining the rapid decline over time, or exponential decline. The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay.

The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay. The standard form of the equation be f(x) = a (1 - r)x.

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a. Y(s) = G(s) * U(s) = [(5+1)/(s+2)^2] * [(s)/(s^2 + 4)] , b. the partial fraction decomposition of Y(s) is: Y(s) = 1/(2(s+2)) - 1/(2(s+2)^2) + (3s)/(2(s^2 + 4)) , c. the time-domain output of the system y(t) is given by: y(t) = 1/2 * e^(-2t) - te^(-2t) + (3/2)sin(2t).

(a) To find the output Y(s), we need to perform the Laplace transform on the input u(t) = cos(2t) and multiply it by the transfer function G(s).

The Laplace transform of cos(2t) is given by: U(s) = (s)/(s^2 + 4)

Now, multiplying U(s) by G(s), we get: Y(s) = G(s) * U(s) = [(5+1)/(s+2)^2] * [(s)/(s^2 + 4)]

(b) To express Y(s) in partial fractions, we need to decompose it into simpler fractions. The expression Y(s) can be written as follows: Y(s) = A/(s+2) + B/(s+2)^2 + C(s)/(s^2 + 4)

To find A, B, and C, we can equate the numerators of both sides and solve for the coefficients. After performing the calculations, we get: A = 1/2, B = -1/2, C = 3/2

So, the partial fraction decomposition of Y(s) is: Y(s) = 1/(2(s+2)) - 1/(2(s+2)^2) + (3s)/(2(s^2 + 4))

(c) To evaluate the time-domain output y(t), we need to perform the inverse Laplace transform on the partial fractions obtained in part (b). The inverse Laplace transform of each term can be found using standard tables or software.

The inverse Laplace transform of 1/(2(s+2)) is 1/2 * e^(-2t). The inverse Laplace transform of -1/(2(s+2)^2) is -te^(-2t). The inverse Laplace transform of (3s)/(2(s^2 + 4)) is (3/2)sin(2t).

Therefore, the time-domain output of the system y(t) is given by: y(t) = 1/2 * e^(-2t) - te^(-2t) + (3/2)sin(2t).

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

No solution

Step-by-step explanation:

=> \(\frac{1}{4} (20-4a) = 6-a\)

=> \(\frac{1}{4} *4(5-a) = 6-a\)

=> \(5-a=6-a\)

Adding a to both sides

=> \(5-a+a=6-a+a\)

=> 5 ≠ 6

So, this equation has no solution.

Area of triangle PQR = 48 cm², thus angle QPR ​= 43.31°

The amount of space occupied by a flat (2-D) surface or an object's form is known as its area. A planar figure's area is the area that its perimeter encloses. The quantity of unit squares that completely encircle the surface of a closed figure is its area. Square measurements for area include cm² and m².

A shape's perimeter is the space surrounding it. The interior volume of a form is measured by area.

As we know,

area of a triangle = 1/2 × a × b × sinθ

here, area = 48 cm²

side lengths of two triangle are:

a = 10

b = 14

now, putting the value:

area of a triangle = 1/2 × a × b × sinθ

48 = 1/2× 10 × 14 × sinθ

or, 90 = 140 × sinθ

or, sinθ = 90/140

or, sinθ = 0.686

or, θ = sin⁻¹(0.686)

or, θ = 43.31°

So, angle QPR ​= 43.31°

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To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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Check the picture below.

Answer:

y = 3/4x -2

Step-by-step explanation:

y = mx + b The m is the slope and the b is the y-intercept.

You are looking for 2 things:

slope and the y-intercept.

The y-intercept is where the line crosses the y axis.  It crosses at -2.

The slope is the change in y over the change in x.

Look at point (0,-2), if we move up 3 spaces and then go right 4 spaces we will be on the line.

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

Answer:

15.5

Step-by-step explanation:

Using Binomial distribution, the probability that more than 2 fail-safe components will fail is 0.00154

For given question,

The pmf of a Binomial Distribution is given by,

\(f(x) =^nC_x(p)^x(q)^{n-x}\)

where n = number of trials

p = probability of success (success event being missile failing)

q = 1 - p i.e. probability of failure (failure event being missile succeeding)

x = number of successes required (number of failed missiles)

In the given case,

n = 5, p = 0.055,

⇒ q = 0.945

We need to find the probability that more than 2 will fail.

So, x = 3

Using Binomial distribution, the required probability is,

\(P(x > 2)\\\\= P(x=3) + P(x=4) + P(x=5)\\\\=^5C_3(0.055)^3(0.945)^2 +~^5C_4(0.055)^4(0.945)+~^5C_5(0.055)^5\\\\ =0.0015 + 0.00004 + 0.0000005\\\\ = 0.00154\)

Therefore, using Binomial distribution, the probability that more than 2 fail-safe components will fail is 0.00154

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Jesse engage in self injuries behavior every time he is denied access to the ipad and when it occurs we tally one mark on the data sheet it represents the Frequency

The frequency (f) of a specific fee is the variety of times the value takes place in the facts. The distribution of a variable is the pattern of frequencies, that means the set of all viable values and the frequencies associated with those values. Frequency distributions are portrayed as frequency tables or charts.

As a statistical device, a frequency distribution affords a visible illustration of the distribution of observations within a particular check. Analysts often use a frequency distribution to visualise or illustrate the facts accrued in a pattern

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