Start with the graph of the absolute value function. Stretch it by a factor of 3 and shift 2 units up.

6√3 is the value of y...

Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5

Answer: 676

Step-by-step explanation: r/13=208/r

                                             r²=2704

                                               r=52

                                               13x52=676

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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The standard deviation of the sampling distribution of the sample mean would be 5/√30, or 0.87.

In order to use the formula sigma x = sigma/ to calculate the standard deviation of the sampling distribution of the sample mean, all three conditions must be met. The first condition is that n must be greater than or equal to 30. This is because the larger the sample size, the more likely it is that the population's distribution is approximately normal. The second condition is that the population's distribution is approximately normal. This is because the Central Limit Theorem states that when the sample size is large enough (usually n ≥ 30) the sample means will have an approximately normal distribution. The third condition is that the sample size is less than 10% of the population size. This is because samples that are too large can lead to sample means that are not representative of the population.

To calculate the standard deviation of the sampling distribution of the sample mean, we can use the following formula:

σx = σ/√n

Where σ is the population standard deviation, and n is the sample size. For example, if the population standard deviation is 5, and the sample size is 30, then the standard deviation of the sampling distribution of the sample mean would be 5/√30, or 0.87.

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Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

Answer:4.5

Step-by-step explanation:

2 times 4.5=9.   9+1=10

so answer is 4.5

10=1+2a or 2a+1=10

A sum is the answer to an addition equation. 1 is being added to 2a. A number can be written as any letter in the alphabet(called a variable in math terms).

hope it helps!

Step-by-step answer:

Step 1: Moving up 3 units.

- Before: \(f(x) = x + 1\)

- After: \(f(x) = x + 4\)

Step 2: Reflect f (x) over the y-axis.

- Before: \(f(x) = x + 4\)

- After: \(f(x) = -x + 4\)

Hope this help!

By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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The zeros of the polynomial function are x = -1 and x = 5

From the question, we have the following parameters that can be used in our computation:

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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Answer:

25%

Step-by-step explanation:

75000/30000=75/300=25/100=25%

Answer:

25%

Step-by-step explanation:

(75,000​/300,000) (100)

(0.25) (10)

= 25

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The  standard deviation is  \(\sigma = 2.45\)  

Step-by-step explanation:

From the given data we can compute the expected mean for each random values as follows

          \(E(X) = \sum [ X * P(X = x )]\\\\ X \ \ \ \ \ \ X* P(X =x )\\ 0 \ \ \ \ \ \ \ \ \ \ 0* 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2 * 0.3 = 0.6 \\ 4 \ \ \ \ \ \ \ \ \ \ 4 * 0.2 = 0.8\\ 6 \ \ \ \ \ \ \ \ \ \ 6* 0.1 = 0.6\)

So  

          \(E(x) = 0 + 0.6 + 0.8 + 0.6\)

          \(E(x) = 2\)

The  

             \(E(X^2) = \sum [ X^2 * P(X = x )]\\\\ X \ \ \ \ \ \ \ \ \ \ X^2 * P(X=x ) \\ 0 \ \ \ \ \ \ \ \ \ \ 0^2 * 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2^2 * 0.3 = 12 \\ 4 \ \ \ \ \ \ \ \ \ \ 4^2 * 0.2 = 3.2 \\ 6 \ \ \ \ \ \ \ \ \ \ 6^2 * 0.1 = 3.6\)

So  

        \(E(X^2) = 0 + 1.2 + 3.2 + 3.6\)

        \(E(X^2) = 8\)

Now  the variance is  mathematically evaluated as

         \(Var (X) = E(X^2 ) -[E(X]^2\)

Substituting value  

        \(Var (X) = 8-4\)

        \(Var (X) = 6\)

The standard deviation is mathematically evaluated as

       \(\sigma = \sqrt{Var(x)}\)

      \(\sigma = \sqrt{4}\)

      \(\sigma = 2\)

Answer

40.5

Step-by-step explanation

Answer:

46

Step-by-step explanation:

106-Alvin=106-14=92

92÷2=46

Answer:

Elga is 46 years old.

Step-by-step explanation:

Firstly, we are going to assume variables for Alvin's age and Elga's age. Alvin will be A and Elga will be E. Now, let's put this word problem into an algebraic statement. We know the sum of both ages is 106, which we would isolate on one side. Then, we also know that Alvin's age is 14 years older then Elgas. So altogether, we would have two equations:

A + E = 106

14 + E = A

We can now plug in Alvin's age into the formula. Our new formula would be:

(14 + E) + E =106

14 + 2E =106

Subtract 14 on both sides:

2E= 92

Divide by 2 to isolate the variable:

E = 46

The answer is that Elga is 46 years old. If you have any further questions, don't hesitate to ask! :)

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The measure of the angle POB is equal to 46°. Thus, option C is correct.

The cοllectiοn οf all pοints in the plane that make up a circle are all equally spaced frοm a certain pοint knοwn as the "centre," making the fοrm a clοsed twο-dimensiοnal shape. The symmetry line οf reflectiοn is fοrmed by each line that traverses the circle.

Mοreοver, it pοssesses rοtatiοnal symmetry arοund the centre fοr each angle. A circle is a circular shape that can be created by tracing a mοving pοint in a plane sο that its distance frοm a specified pοint remains cοnstant.

Given

Angle AOC = 46°  

Now, ΔAOP ≅ ΔBOP

As SSS criteria is possible

Then

By CPCT

∠AOC = ∠BOC = ∠POB

∠POB = 46°  

Thus, the measure of the angle POB is equal to 46°. Thus, option C is correct.

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Answer:

Step-by-step explanation:

Sam is wrong because 9,05 kg =9050g which is different to 9500g

Answer:

wrong 1 kilo in a gram is 1000 so u just going to add 1 zero on the back so 905+0= 9050 grams

Answer:

f(-4) = - 64

f(3)  = - 15

f(-a) =  - 3a² - 4a

-f(a) =  3a² - 4a

f(a + h) = - 3a²  - 6ah - 3h² + 4a + 4h

Pay careful attention that you do not miss the negative signs in some of these terms

Step-by-step explanation:

The function is f(x) = -3x² + 4x

To evaluate the function at any value of x, simply substitute for x in the function expression

The third side of the right angled triangle is 45.

What is right angled triangle?

A right angled triangle, also known as a right triangle, is a type of triangle that has one angle that measures exactly 90 degrees, called the right angle. This angle is formed where the two shorter sides of the triangle meet.

To solve this problem, we can use the concept of special right triangles, specifically the 3-4-5 right triangle. In a 3-4-5 right triangle, the sides are in the ratio of 3:4:5.

Let's label the length of the triangle as \($L$\), the height as \($H$\), and the hypotenuse as \(X\).

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, we can set up the following equation:

\($$ L^2 + H^2 = X^2 $$\)

Substitute the given values.

We are given that \($L = 27$\) and \($H = 36$\), so we can substitute these values into the equation:

\($$ 27^2 + 36^2 = X^2 $$\)

Simplify the equation.

Evaluating the squares on the left side, we get:

\($$ 729 + 1296 = X^2 $$\)

Simplifying the right side, we get:

\($$ 2025 = X^2 $$\)

Solve for X.

Taking the square root of both sides, we get:

\($$ X = \sqrt{2025} $$\)

\($$ X = 45 $$\)

Therefore, the third side of the triangle is 45.

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Answer:

-4374

Step-by-step explanation:

Given :

a1 = 2 ; r = - 3

The nth term of a geometric series :

A(n) = ar^(n-1)

The 8th term :

A(8) = 2(-3)^(8-1)

A(8) = 2(-3^7)

A(8) = 2(−2187)

A(8) = - 4374

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.

The statement that describes the meteor's motion will be A. Its velocity was 7.8 km/d northward.

It should be noted that based on the information given, the the meteors moving 468 km per minute

Also, the meteor was 45m wide from it.

Therefore, it should be noted that the reason that it wasn't visible was because it wasn't within it's range. This was illustrated as the fact that the velocity was 7.8 km/d northward.

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9514 1404 393

Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

21.715 degrees

Step-by-step explanation:

There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.

The measure of the exterior angle in a regular 14 sided polygons is 25.72 degree.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have 14 sides polygon.

We know the sum of the interior angle = (n-2)×180

n is the number of sides

Here n = 14

The sum of the interior angle = (14-2)×180 = 2160 degree

Each interior angle = 2160/14 = 154.285

Measure of the exterior angle = 180 – 154.285 = 25.715 ≈ 25.72 degree

Thus, the measure of the exterior angle in a regular 14 sided polygons is 25.72 degree.

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Answer:

It's 28,168,561. Hope this helps you out.

Answer:28168561

Step-by-step explanation:

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4

Step-by-step explanation:

1.

A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.

2.

A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.

3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.

4 and 5:

To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.

4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9

5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.

Step-by-step explanation:

\(14y + \frac{37}{5} - 8(2y - 1)\)

BODMAS:

We deal with the brackets first

\(8(2y - 1) \)

we multiply everything in the brackets with 8

\( - 8 \times 2y = - 16y\)

\( - 8 \times - 1 = 8\)

\(14y + \frac{37}{5} - 16y + 8\)

Let's bring the like-terms together by rearranging the question

\(14y - 16y + 8 + \frac{37}{5} \)

\(14y - 16y = - 2y\)

\(8 + \frac{37}{5} = 15.4\)

\( - 2y + 15.4\)

They have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

The cost of cashews per pounds = $7.20

The cost of nuts per pounds = $4.10

Consider the number of pounds of cashews as x and number of pounds of nuts as y

Total pounds of mixture = 32 pounds

The equation will be

x+y = 32

x = 32-y

Cost of the mixture for one pound = $5.75

Cost of the mixture for 32 pounds = 32×5.75

= $184

Then the equation will be

7.20x+4.10y = 184

Here we have to use the substitution method

Substitute the value of x in the equation

7.20(32-y)+4.10y = 184

230.4-7.20y+4.10y = 184

230.4-3.1y  = 184

-3.1y = 184-230.4

-3.1y = -46.4

y = 14.97 pounds

x+y = 32

x+14.97 = 32

x = 17.03 pounds

Hence, they have to use 17.03 pounds of cashews and 17.03 pounds of nuts to make a 32 pounds mixture that sells for $5.75 per pounds

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