Point Q′ is the image of Q(5, –3) after a translation down 2 units and right 4 units. What are the coordinates of Q′?

A. (9, –5)
B. (1, 1)
C. (3, –5)
D. (1, –1)

Answer:

x=5

Step-by-step explanation:

2x-3+4x=27

6x-3=27

6x=27+3=30

x=30/6

x=5

Answer:

16.05

Step-by-step explanation:

multiplication

Answer:

16.05

Step-by-step explanation:

Answer:

The x-values cant repeat... Which is the first number in a ordered pair...

Step-by-step explanation:

L.maooo

Answer:

36.6 years

Step-by-step explanation:

Here, we are to find the number of years it will take for the population of deers to reach 3,000

What to do here is simply substitute the value of 3,000 for P and use it to find t

3000 = 578e^0.045t

Divide through by 578

5.1903 = e^0.045t

Take the ln (natural logarithm of both sides)

Recall ln e = 1

ln 5.1903 = ln e^0.045t

ln 5.1903 = 0.045t

0.045t = 1.6468

t = 1.6468/0.045

t = 36.595 years which is 36.6 years

We utilize a two factors, independent measurements ANOVA, where, factor has 2 level and a factor likewise has 2 levels.

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

Factors and multiples are a part of our daily life. For example, they are employed in arranging objects in a box, handling money, recognizing patterns in numbers, solving ratios, and working with expanding

A number totally divides the provided number without leaving any residual is said to be the factor of that number.

The components of a number might be positive or negative. For example, let us find the factors of 8. Since 8 is divisible by 1, 2, 4, and 8, we may list the positive factors of 8 as, 1, 2, 4, and 8. Apart from this, 8 has negative elements as well, which might be stated as, -1, -2, -4,

According to our question-

Degrees of freedom for the F-test of the two way ANOVA

In this case, we utilize an ANOVA with two independent variables and two factors, each with two levels.

So, here,

= 2 for the number of layers of A

= B's level count is 2,

Moreover, n = sample size in each treatment condition is equal to 10.

So we have,

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of interaction effect (A x B) = ( - 1)( - 1) ( - 1)

= (2-1)(2-1) (2-1)

= 1

And = df of within variation (i.e. error variation) =

= 2 x 2 x (10 - 1) (10 - 1)

= 36

Consequently, the df value for the F-ratio measuring factors-primary A's impact is

= () ()

= (1, 36) (1, 36)

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Answer:

x=35

Step-by-step explanation:

For a polygon with n sides, the sum of its interior angles is equal to

(n-2) * 180

Here, there are 6 sides, so the sum of this polygon's interior angles is equal to (6-2)* 180 = 720

Therefore, the sum of the interior angles is 720. We can add them up to get

(4x-5) + 117 + (3x-3) + (3x+6) + 118 + 4x-3

= 14x +230 = 720

subtract 230 from both sides to isolate the x and its coefficint

14x = 490

divide both sides by 14 to get x

x=35

The z-scores for the different values of random variable x;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

We are given different values of x which is a random variable along with the values of the mean and the standard deviation. We have to calculate the z-score for the given values of x. We will use the following formula to calculate the z-score.

z = (x - μ)/σ

In all the parts we have;

μ = 23

σ = 4

(a)x = 32

z = (x - μ)/σ

z = (32 - 23)/4

z = 9/4 = 2.25

(b) x = 29

z = (x - μ)/σ

z = (29 - 23)/4

z = 6/4 = 1.50

(c) x = 16

z = (x - μ)/σ

z = (16 - 23)/4

z = 7/4 = -1.75

(d) x = 36

z = (x - μ)/σ

z = (36 - 23)/4

z = 13/4 = 3.25

(e)  x = 14

z = (x - μ)/σ

z = (14 - 23)/4

z = -9/4 = -2.25

(f)  x = 37

z = (x - μ)/σ

z = (37 - 23)/4

z = 14/4 = 3.50

Therefore, the z-scores will be;

(a) Z = 2.25

(b) Z = 1.50

(c) Z = -1.75

(d) Z = 3.25

(e) Z = -2.25

(f) Z = 3.50

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The complete question is "Suppose the random variable x is best described by a normal distribution with μ=23 and σ=4. Find the z-score that corresponds to each of the following x-values.

(a) x=32

z=

(b) x=29

z=

(c) x=16

z=

(d) x=36

z=

(e) x=14

z=

(f) x=37

z=                    "

Each child will receive the 1.1 cup of milk.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that a container of milk contains 8 cups of milk. if paul sets aside \(1\dfrac{2}{5}\) cups of milk for use in a recipe , then we get the leftover;

8  -  \(1\frac{2}{5}\) = 8 -  7/5

= 40- 7/5

= 33/5

= 6.6

The the rest cups of milk = 6.6

Then the rest evenly among his three children 6.6/3 = 1.1

Hence, Each child will receive the 1.1 cup of milk.

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Answer:

x = 58°

Find the missing top angle:

180° - 148°

32°

Then find x:

x + 32° + 90° = 180°

x + 122° = 180°

x = 180° - 122°

x = 58°

Solution:

Note that:

Solve the equation to find x (Bottom left angle).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Answer:

x = 60  (Answer C)

Step-by-step explanation:

Ambiguous.  I will assume that you meant:

x+4-7=1  =>  √(x + 4) - 7 = 1

This latter result simplifies to

√(x + 4) = 8

Squaring both sides, we get:  x + 4 = 64, or x = 60  (Answer C)

The value of x is 4.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

√(x + 4 - 7) = 1

Square on both sides.

x + 4 - 7 = 1²

x + 4 - 7 = 1

Add 7 on both sides.

x + 4 = 1 + 7

x = 8

Subtract 4 on both sides.

x + 4 - 4 = 8 - 4

x = 4

Thus,

The value of x is 4.

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Answer: 9/10-8/10=1/10

Step-by-step explanation: The answer is 1/110

Answer:

Lot C

Step-by-step explanation:

Answer:

Lot B

Step-by-step explanation:

The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

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Answer:

44%

Step-by-step explanation:

11/25 =0.44

0.44 = 44/100 = 40%

         11x4 =44

       25x4=100

Answer:

Step-by-step explanation: Hi there.

25 is a multiple of 100, so it would be easier to get the fraction to x/100 first.

11*4=44

25*4= 100

We get 44/100, which is 0.44

If you move the decimal point two spaces and replace the decimal with a percent sign, you get your percentage: 0.44 -->44%

Have a nice day! :)

Answer:

2^(5/2)

Step-by-step explanation:

2^0 = 1, so the given expression immediately becomes

 2^3

------------ = 2^(5/2)     (we subtract 1/2 from 3, obtaining 5/2)

 2^(1/2)

Answer:

A(-2,2),. B(−1, −2), and C(-6, 1). Graph the triangle. Then graph the triangle after a translation 7 units right and. 3 units up.

Step-by-step explanation:

After translation 7units left and 17unit up ΔXYZ become ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

" Translation is defined as the moving a geometrical shape by certain distance."

According to the question,

In ΔXYZ,

Coordinates of X =(-7,-13)

Coordinates of Y = (-3 ,-9)

Coordinates of Z = ( -7, -5)

After translation 7units left and 17units up and rotation 270° counterclockwise around the origin

New coordinates as shown in the drawn graph of ΔX'Y'Z'

Coordinates of X' = (-14, 4)

Coordinates of Y' = (-10, 8)

Coordinates of Z' = (-14,12)

Hence, translation 7units left and 17unit up ΔXYZ gives ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

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The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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Answer:

C.

Step-by-step explanation:

Answer:

Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).

The coordinates of triangle A'B'C' after a dilation centered at the origin with a scale factor of 2 are:

A' (-10, -14).

B' (12, -6).

C' (4, 14).

In Geometry, a dilation is a transformation that is typically used for changing the dimension (size) of a geometric figure, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:

Ordered pair A (-5, -7) → Ordered pair A' (-5 × 2, -7 × 2) = Ordered pair A' (-10, -14).

Ordered pair B (6, -3) → Ordered pair B' (6 × 2, -3 × 2) = Ordered pair B' (12, -6).

Ordered pair C (2, 7) → Ordered pair C' (2 × 2, 7 × 2) = Ordered pair C' (4, 14).

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Answer:

x=11.2

Step-by-step explanation:

So, to solve for x you have to use pythag Theorem. X is the hypotenuse  

If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.

The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5

13-8=5.

And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.

then, Square them and add them. So, 5x5=25

and 10x10=100

100+25=125 afterwards you find the square root. \(\sqrt{125}=11.18\)

Answer:

.27 or 27/100

Step-by-step explanation:

each tenth is equal to 10 one hundredths

The equations that represent the left side, right side, top side and bottom side are y = 3x+2, y = 3x-10, y = 5 and y = -1 respectively

The slope-intercept form of the equation of a line is y =mx+c,

where m is the slope and c is the y-intercept

slope(m) = y2-y1 / x2-x1

Left side

The line moves from point 1 (-1, -1) to point 2 (1,5)

x1 = -1, y1 = -1 and x2 = 1, y2 = 5

Slope(m) = 5-(-1) / 1-(-1)  = 6/2 = 3

Using the equation of a line for 2 points:

y-y1 = m(x-x1)

y-(-1) = 3(x-(-1))

y+1 = 3(x+1)

y+1 = 3x+3

y = 3x+2

Right side

The line moves from point 1 (3, -1) to point 2 (5,5)

Slope(m) = 5-(-1) / 5-3  = 6/2 = 3

y-(-1) = 3(x-3)

y+1 = 3x -9

y = 3x-10

Top side

y = 5

Bottom side

y = -1

Therefore, equation for the left side : y = 3x+2, equation for the right side: y = 3x-10, equation for the top side: y = 5 and equation for the bottom side: y = -1

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Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

The required area of the circle is 50.24cm².

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, we have the circumference:

8π

Now, calculate for π as follows using the circumference formula (2πr):

8π = 2πr

8π/2π = r

4 = r

Now, calculate the area when r = 4cm (πr²) as follows:

πr²

π(4)²

16π

50.24

Therefore, the required area of the circle is 50.24cm².

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Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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We must find the sum of the polynomials:

The sum of the polynomials give:

Answer