A Clydesdale horse weighs as much as a Shetland pony and an American Saddlebred horse combined. How much does a Clydesdale horse weigh?

I can't get how to type out the inequality sign, so I'm gonna use the equal to sign (=) even though it's wrong. If you get what I mean. I'll write the full answer in english tho.

x-4=12

collecting like terms, we have;

X=12+4

X=16( X is greater or equal to 16)

So for the graph, it'll be on 16 facing the the positive side( that's to the right) with the the end shaded.

Hope it helps

Step-by-step explanation:

'x plus five is twenty three'

Answer:

x+5=23

Step-by-step explanation:

The sοlutiοns in οrder frοm least tο greatest are:

Lesser x = -4

Greater x = 1

Ascending οrder refers tο the arrangement οf numbers in which the smallest number cοmes befοre the largest.

Tο sοlve fοr x in the equatiοn \(x^2 + 3x - 4 = 0\), we can use the quadratic fοrmula:

\(x= \frac{(-b+\sqrt{b^{2} -4ac} )}{2a} \\\)

where a, b, and c are the cοefficients οf the quadratic equatiοn\(ax^2 + bx + c = 0.\)

In this case, a = 1, b = 3, and c = -4. Substituting these values intο the quadratic fοrmula, we get:

\(x = (-3\± \sqrt{(3^2 - 4(1)(-4)))} / 2(1)\\\\x = (-3 \± \sqrt{(25))} / 2\\\\x = (-3 \± 5) / 2\)

This gives twο pοssible sοlutiοns:

x1 = (-3 - 5) / 2 = -4

x2 = (-3 + 5) / 2 = 1

Therefοre, the sοlutiοns in οrder frοm least tο greatest are:

Lesser x = -4

Greater x = 1

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The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

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Answer:

p= 11/4

Step-by-step explanation:

Answer:

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

Right angled triangle

Step-by-step explanation:

The triangle MNP has the cosine ratio of the angle N as 3/5 and the sine ratio of the angle N as 4/5. Note MNP is aright angle triangle.

The cosine ratio of the angle N is expressed as  

cosine N = adjacent/hypotenuse

cosine N = 3/5

The adjacent side of the triangle is 3 and the hypotenuse is 5.

For Sine ratio the ratio is represented as  

sin N = opposite/hypotenuse

sin N = 4/5

The opposite side of the triangle is 4 and the hypotenuse is same as 5.

This means the triangle is a special kind of triangle which means the triangle has one angle as 90° and the sum of the other two angle is equal to 90°.

A triangle with side of 3, 4 and 5 is a right angle triangle.

Answer:

It is a scalene triangle!

Step-by-step explanation:

Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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The greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

To find the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 - 18x^2\), we need to identify the largest expression that divides evenly into each term.

Let's break down each term individually:

\(8x^4\) can be factored as 2 × 2 × 2 × x × x × x × x

\(-4x^3\) can be factored as -1 × 2 × 2 × x × x × x

\(-18x^2\) can be factored as -1 × 2 × 3 × 3 × x × x

Now, let's look for the common factors among these terms:

The common factors for all the terms are 2 and \(x^2\).

Therefore, the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

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Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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Answer:

a

Step-by-step explanation:

y=3x

thus, a proportional relationship equation is y=kx .Where k is constant

Answer:

x=1 y=1

Step-by-step explanation:

in the picture u can see the explanation

The roots of the quadratic equation 9 x 2 - 3 k x + k = 0 are equivalent. As a result, the needed values of k are 0 and 4.

Any equation featuring one condition that involves the unknown is cubed and no term in which it has been increased to a greater number is a quadratic equation.

This has the equation ax2 + bx + c = 0, where a = 9, b = -3k, and c = k.

If D=0, the solution will be implemented and will have real and equivalent roots.

Most typically, the quadratic equation is represented as ax2 + bx + c = 0. The coefficients are the recognized numbers a, b, and c, while x represents the undetermined.

Quadratic equations must be employed whether directly or indirectly in any field where speed, area, or profit must be calculated.

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The Lorentz transformation is the standard tool for the transformation of the position coordinates and time of events in special relativity.

We will use the following set of formulas to derive the answer as follows: x' = γ(x − vt)

y' = y

z' = z

t' = γ(t − vx/c²) where γ = 1/√(1−v²/c²)

The difference between the two events is given by:

Δx' = x'₂ − x'₁ = γ(x₂ − vt₂) − γ(x₁ − vt₁)

= γ(Δx − vΔt)

Δy' = y'₂ − y'₁

= y₂ − y₁

Δz' = z'₂ − z'₁

= z₂ − z₁

Δt' = t'₂ − t'₁

= γ(t₂ − vx₂/c²) − γ(t₁ − vx₁/c²)

= γ(Δt − vΔx/c²)A

The Lorentz transformations are an essential tool in the theory of special relativity. They can be used to calculate the position and time coordinates of events in different inertial frames that are in relative motion. The difference between two events in two different frames can be calculated using the equations derived above. The Lorentz factor γ is an important quantity that determines the relationship between the time and position coordinates in two different frames.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula is weight of object = mass x gravity

if you punch the numbers in the formula correctly the mass in kg is 875.634 kg x 9.8 m/s =  8,581.2132

Answer:

1.25

Step-by-step explanation:

because you do 12.5 and divide by 10 and it equals 1.25

Answer:

Below in bold.

Step-by-step explanation:

This figure is a trapezoid.

We can find the missing side  length by applying the Pythagoras Theorem to the right triangle on the left of the figure.

The dotted line has length 12 cm and the base of the triangle = 25 - 18 = 7 cm

So x^2  = 12^2 + 7^2     (where x = missing length)

            =  144 + 49

            = 189

x = √189

  =  13.75 to nearest hundredth

So the perimeter

  =    18 + 12 + 25 + 13.75

  =    68.75 cm.

Area of a trapezoid = 1/2 (a + b) * h.

Area =  1/2 *(18 + 25) * 12

        =  258 cm^2.

Answer:

Step-by-step explanation:

Exponential equations have the form of a geometric sequence

\(y=ar^x\text{ y=final value, a=initial value, r=common ratio, x=term number}\\ \\ \text{The common ratio is found by dividing any term by the previous term, in this case}\\ \\ r=\frac{1}{3},\ a=27\\ \\ f(x)=27\left(\frac{1}{3}\right)^x\)

The probability that a user who logs on every day is from inside the country is 36.36%.

(a) To find the percent of all users who log on every day, we need to calculate the weighted average of the percentage of users who log on every day from outside the country and inside the country. Let's call this percentage "x".

x = 0.7 * 0.6 + 0.3 * 0.8
x = 0.42 + 0.24
x = 0.66

Therefore, 66% of all users log on every day.

(b) Bayes' Theorem states that the probability of an event A happening given that event B has occurred is equal to the probability of B given A multiplied by the probability of A, divided by the probability of B.

Let's define event A as a user being from inside the country and event B as a user logging on every day. We want to find the probability of A given B.

P(A|B) = P(B|A) * P(A) / P(B)

We already know P(B|A) = 0.8 (the probability of a user logging on every day given that they are from inside the country). We also know P(A) = 0.3 (the probability of a user being from inside the country). We just calculated P(B) in part (a) as 0.66.

P(A|B) = 0.8 * 0.3 / 0.66
P(A|B) = 0.3636

Therefore, the probability that a user who logs on every day is from inside the country is 36.36%.

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The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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9514 1404 393

Answer:

  A, B, C

Step-by-step explanation:

Any variables in terms of a polynomial will have non-negative integer exponents. There will be no variables in a denominator, under a radical, or as the argument of a non-polynomial function.

Here, the -3 exponent in the last expression means that expression is not a polynomial. All of the others are polynomial expressions.

Answer:

1 duck egg

19 chicken eggs

80 goose eggs

Step-by-step explanation:

Given that:

Goose eggs must be bought in multiples of 20

20 goose eggs = 1 cent

1 chicken egg = 5 cents

1 duck egg = 1 cent

Total amount to spend = 100 cents

Total number of eggs to purchase = 100

In other to ensure that 100 cents is spent and 100 eggs is purchased :

Using logical analysis :

1 cent is spent on duck egg, so 1 duck egg is purchased

Goose eggs (sold in multiples of 20) for 1 cent each ; 4 cents is spent on (20 * 4) = 80 goose eggs

100 - (4 + 1) = 100 - 5 = 95 cents is spent on chicken eggs ; 95 / cost per chicken egg = 95 / 5 = 19 chicken eggs

Hence,

1 duck egg = 1 cent

(20 *4) goose eggs = 80 eggs ; 4 * 1 = 4 cents

19 chicken eggs = 19 * 5cent = 95 cents

(1 + 80 + 19)eggs = (1 + 4 + 95)cents

100eggs = 100centa

The matches between the functions and the growth or decay factors are as follows:

y = 0.3(0.5)^x matches with Decay factor 50%

y = 3(0.85)^x matches with Decay factor 15%

y = 800(1.15)^x matches with Growth factor 15%

y = 1200(1.05)^x matches with Growth factor 5%

y = 2000(45)^x matches with Decay factor 20%

Matching the functions to the correct growth or decay factors, we have:

y = 0.3(0.5)^x -> Decay factor 50%

This function exhibits exponential decay with a base of 0.5, indicating a decay factor of 50%.

y = 3(0.85)^x -> Decay factor 15%

This function demonstrates exponential decay with a base of 0.85, representing a decay factor of 15%.

y = 800(1.15)^x -> Growth factor 15%

This function displays exponential growth with a base of 1.15, indicating a growth factor of 15%.

y = 1200(1.05)^x -> Growth factor 5%

This function represents exponential growth with a base of 1.05, indicating a growth factor of 5%.

y = 2000(45)^x -> Decay factor 20%

This function exhibits exponential decay with a base of 45, indicating a decay factor of 20%.

In summary, the matches between the functions and the growth or decay factors are as follows:

y = 0.3(0.5)^x matches with Decay factor 50%

y = 3(0.85)^x matches with Decay factor 15%

y = 800(1.15)^x matches with Growth factor 15%

y = 1200(1.05)^x matches with Growth factor 5%

y = 2000(45)^x matches with Decay factor 20%

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The value x in the formula represents the value of each observation of the data-set.

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