List the transformations for the function.

y=|x−3|+1

Answer:

circumference of a circle = πd

π12 = 37.6991118

37.6991118/2 = 18.8495559

18.8495559 + 12 = 30.8495559

perimeter = 30.85

Answer:

x = 22

Step-by-step explanation:

14,040 - 50x = 12,500 + 20x

14,040 - 12,500 = 20x + 50x

1540 = 70x

x = 22

Answer:

4/10 combined

Step-by-step explanation:

Hope this helps, let me know!

Answer: 4/10 or 0.4

Step-by-step explanation:

    You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.

The solution to the initial-value problem t du/dt = t^2 * 3u, t > 0, u(3) = 18 is given by the function u(t) = (18/3^3) * t^3.

To solve the initial-value problem, we can separate variables and integrate both sides. Starting with the given equation t du/dt = t^2 * 3u, we can rearrange it as du/u = 3/t dt. Next, we integrate both sides. The integral of du/u is ln|u|, and the integral of 3/t dt is 3 ln|t| + C, where C is the constant of integration.

Therefore, we have ln|u| = 3 ln|t| + C. Exponentiating both sides, we get |u| = e^(3 ln|t| + C). Since e^C is just another constant, we can rewrite the equation as |u| = K * t^3, where K = e^C. Finally, using the initial condition u(3) = 18, we can determine the value of K: |18| = K * 3^3, which gives us K = 2. Plugging in K and removing the absolute value, we obtain u(t) = (18/3^3) * t^3 as the solution to the initial-value problem.

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Answer:

Step-by-step explanation:

The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor

Answer:

the answer is 9.75 :)

Step-by-step explanation:

Using the given information, the length of arc EF in circle C is 9.75

From the question, we are to calculate the length of arc EF

First, we will determine the measure of angle BAD

Let angle BAD = θ

From the question,

Length of arc BD = 6.5

Radius of circle A = 4

Using the formua,

\(Length \ of \ an \ arc = \frac{\theta}{360 ^\circ}\times 2\pi r\)

Then,

\(6.5 = \frac{\theta}{360 ^\circ} \times 2\pi \times 4\)

\(\theta = \frac{360 \times 6.5}{2\pi \times 4}\)

\(\theta = \frac{2340}{8\pi }\)

\(\theta = \frac{292.5}{\pi }^\circ\)

Now, for the measure of arc EF in circle C

Since angle ECF and angle BAD are congruent, then

Angle ECF = \(\frac{292.5}{\pi }^\circ\)

Thus,

Length of arc EF = \(\frac{\frac{292.5}{\pi}^\circ }{360 ^\circ} \times 2 \pi \times 6\\\)

Length of arc EF = \(\frac{292.5^\circ }{\pi \times 360 ^\circ} \times 12 \pi\)

Length of arc EF = \(\frac{292.5 \times 12}{360}\)

Length of arc EF = 9.75

Hence, using the given information, the length of arc EF in circle C is 9.75

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Answer:

there are no factors of -15 that add up to 3

Answer:

It is A trust me

Step-by-step explanation:

Given data:

The first number is 4/9.

The second number is 5/10.

The first number can be written as,

The second number can be written as,

Now compare both numbers as they have same denominator.

Thus, the < symbol must be used between both n

It should be 33.49 sorry if I’m a little off!

The steps used to solve the quadratic equation are

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Given the equation;

8x² + 16x + 3 = 0

Collect like terms

8x² + 16x = -3

Take the common factors, we have

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation in the right side

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square

\(8(x + 1)^2} = 5\)

Make 'x' subject

\((x + 1)^2= \frac{5}{8}\)

\((x + 1) =\) ±\(\sqrt{\frac{5}{8} }\)

\(x =\) -1 ±\(\sqrt{\frac{5}{8} } }\)

Thus, we can clearly see the steps used to solve the quadratic equation are

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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Answer:

-6

Step-by-step explanation:

Answer

d=2r

r=d

2=12

2=6

Step-by-step explanation:

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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To show that A2 is similar to B2 if A is similar to B, we need to show that there exists an invertible matrix Q such that A2 = QB2Q-1.

Using the relationship A = PCP from the given information, we can express A2 as A2 = (PCP)(PCP) = PCPCP. We can then substitute B for A in this expression to obtain B2 = PBPCP.

To show that A2 is similar to B2, we need to find an invertible matrix Q such that A2 = QB2Q-1.

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18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\(\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}\)

Now, differentiate P with respect to x, and we get,

\(\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}\)

Solving the above equation to zero, we get,

\(\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}\)

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\(\begin{aligned}y&=108-36\\y&=72\end{aligned}\)

Thus, the two positive numbers are 36 and 72.

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Answer:

SYMMETRICAL DESIGN: A formal, equilateral triangular design. ROUND DESIGNS: Do not require a focal point. HOOK METHOD: Wiring technique in which the wire is inserted through the flower and a small hook is formed in the wire before it is pulled back into the flower.

Step-by-step explanation:

A triangular arrangement is a formal, equilateral triangular design. Option D

A formal, equilateral triangle pattern is referred to as a triangular arrangement. It entails arranging components or things in a configuration that resembles an equilateral triangle.

In a variety of disciplines, including art, architecture, and landscaping, this arrangement is used. All three sides of the equilateral triangle are identical in length, and all three angles are 60 degrees.

As the equilateral triangle is seen as a stable and aesthetically beautiful shape, the triangular arrangement is frequently employed to establish balance, harmony, and aesthetic appeal in a design.

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The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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The measure of validity based on showing a substantial correlation between selection test scores and job performance scores is known as criterion-related validity.

Criterion-related validity is a type of validity that examines the relationship between scores on a selection test and an external criterion, which is typically job performance in this case. The purpose is to determine how well the test predicts or correlates with an individual's ability to perform successfully in a specific job or role.

To establish criterion-related validity, data is collected from individuals who have taken the selection test and their subsequent job performance is measured. By analyzing the correlation between test scores and job performance scores, researchers can determine the extent to which the test accurately predicts future job performance.

If there is a substantial positive correlation between selection test scores and job performance scores, it indicates that the test is valid and can effectively differentiate between individuals who are likely to perform well in the job and those who are not. This provides evidence that the test is a useful tool for selecting candidates who have the potential to succeed in the specific job or role.

In summary, criterion-related validity is demonstrated when there is a significant correlation between selection test scores and job performance scores, indicating the test's ability to predict future job success.

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Answer:

$24

Step-by-step explanation:

Let the full price of $30 be 100%.

If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:

\(P=100\%-20\%\\P=80\%\)

80% of a marked price of $30 is:

\(80\%*\$30\\\$24\)

A customer will pay $24.

According to the information, the volume of the new package will be:\(V = 197.07^{3}\)

To calculate the volume of the new package we must perform the following procedure:

\(V = \pi r^{2} h\)

According to the above, we must substitute the values of the radius and the height to obtain the volume of the new package. If we increase the diameter by 2 in, then the new diameter will be 9.8 in. On the other hand, the radius will be:

9.8 in / 2 = 4.9 in

So, to find the volume we must solve the following formula:

\(V = \pi * 4.9 * 12.8\)

\(V = 197.07^{3}\)

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Answer:

jelly bean

Step-by-step explanation:

i cannot make a Venn-diagram on here so i will improvise

jelly bean | both | red

7                  3         5

another way to do it is:

a jellybean=7 not a jellybean=4 a red jellybean=3 red but not a jelly bean=2 not a jelly bean or red= 2

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

The equations had 2 solutions:

x = 3, y = 25 or x = 7, y = 9

Step-by-step explanation:

(x - 6) x + y = 16,  4 x + y = 37

y = 37 - 4 x

x2-6x+37-4x-16=0

x2-10x+21=0

(x - 7) (x - 3) = 0 -> x =3 or x = 7

Answer:

C. is right on edg.

Answer:

second option

Step-by-step explanation:

Given

\(x^{4}\) + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \(\sqrt{-1}\) = ± i ( noting that \(\sqrt{-1}\) = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \(\sqrt{-5}\) = ± \(\sqrt{5(-1)}\) = ± \(\sqrt{5}\) × \(\sqrt{-1}\) = ± i\(\sqrt{5}\)

Solutions are x = ± i and x = ± i\(\sqrt{5}\)

Answer:

Step-by-step explanation:

i think  its A

Answer:

now from the top make it drop thats a wop

Step-by-step explanation:

we can estimate that about 29.0% of Americans over 26 smoke based on this sample.

To estimate the proportion of Americans over 26 who smoke, we need to use the sample proportion, which is the number of people in the sample who smoke divided by the total sample size.

In this case, the sample size is 897 and the number of people who don't smoke is 637, so the number of people who do smoke is:

897 - 637 = 260

So the sample proportion of Americans over 26 who smoke is:

260 / 897 = 0.290

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