Draw the image of ABC under a dilation whose center is C and scale factor is 2.

The expressions in a single exponent are 9³/9⁹ = 9⁻⁶ and 14⁻³ * 14¹² = 14⁹

Diego's mistake is multiplying the expressions, wrongly

Expression 1

Given that

9³/9⁹

To solve, we make use of the law of indices

So, we have

9³/9⁹ = 9⁻⁶

Expression 2

Here, we have

14⁻³ * 14¹²

Using the law of indices, we have

So, we have

14⁻³ * 14¹² = 14⁹

Diego's expression is given as

6⁴ * 8³ = 48⁷

The mistake in Diego's expression is that he multiplied 6 and 8, and then add the exponents

This is incorrect, and the actual solution is

6⁴ * 8³ = 1296* 512

6⁴ * 8³ = 2¹³ × 3⁴

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Answer:

The answer would be C (1,4)

Step-by-step explanation:

The maximum refers to the highest point on the graph.

In this graph, the highest point lands 1 point to the right of zero and then four points up from there.

Making the maximum (1,4)

Answer:

Step-by-step explanation:

The maximum occurs at (1,4). The maximum is the highest point a function will reach. You can see on the graph that the highest point occurs when x = 1 and y = 4.

So the maximum is at (1,4)

A trick you can use to easily find it next time, imagine a horizontal line is coming down the graph from the top. When the line touches the function, that will be the maximum

The area of the shaded region in the standard normal distribution can be found to be 0.3510.

To find the area of the shaded region between -2.25 and -0.35 in a standard normal distribution, you would use a Z-table or a calculator with a built-in Z-table function.

Area between -2.25 and -0.35 = Area to the left of -0.35 - Area to the left of -2.25

Area to the left of -0.35 = 0.3632

Area to the left of -2.25 = 0.0122

find the difference between these two areas:

Area between -2.25 and -0.35 = 0.3632 - 0.0122 = 0.3510

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We need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.

In geometry, a triangle is a three-sided polygon consisting of three line segments that connect three non-collinear points. These three points are called the vertices of the triangle, and the line segments connecting them are called sides. The sum of the angles of a triangle is always 180 degrees.

Triangles can be classified based on their sides and angles. A triangle with all three sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle.

Triangles can also be classified based on their angles. A triangle with all three angles less than 90 degrees is called an acute triangle, while a triangle with one angle greater than 90 degrees is called an obtuse triangle. Finally, a triangle with one angle equal to 90 degrees is called a right triangle.

First, we can use trigonometry to find the length of side AC. Since angle BCD is 30 degrees and BC = 14, we have:

sin(30) = AC/14

AC = 14*sin(30)

AC = 7 inches

Next, we can use the fact that triangle ACD is a 15-75-90 triangle to find the length of AD. Since angle CAD is 75 degrees, we have:

tan(75) = AD/AC

AD = ACtan(75)

AD = 7tan(75)

Using a calculator, we get:

AD ≈ 8.09 inches

Therefore, we need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.

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Answer:

5.9

Step-by-step explanation:

segment BD was 8.1 so segment AD cant be 8.1

Answer:

5

Step-by-step explanation:

S1=R1²=*3²=9 (the outer circle)

S2=R2²=*2²=4 (the inner circle)

S=S1-S2=9-4=5 (the shaded ring)

Answer:

hope its right

Step-by-step explanation:

Up to 180 degrees

Your Welcome

Answer: 5 1/2 hours

Step-by-step explanation:

for every 2 nights he reads he will gain an hour of time so the easiest way to solve is to divide 11 by 2 for an answer of 5.5 or 5 1/2 hours.

If the unit rate is 1/2 hours per night,

Carlos will read for 5.5 hours in 11 nights.

We have,

If Carlos reads for 1/2 hour every night,

This is the unit rate.

Now,

In 11 nights he will read for:

(1/2) x 11 = 11/2

= 5.5 hours

Therefore,

Carlos will read for 5.5 hours in 11 nights.

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The measure of the angle A in the given right angled triangle is found as: A = 64.82°

Applying the sin function in the given right angled triangle.

Sin A = 77/85

Sin A = 0.905

A = Sin⁻¹ (0.905)

A = 64.82°

Thus, the measure of the angle A in the given right angled triangle is found as: A = 64.82°

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Answer:

3n + 5n = 8n = 95

n = 11

$95 - $88 = $7

(11 paint brushes, 11 boxes of colored pencils)

Answer:

The correct equation is:

b - 3/4 = 3 1/4

Explanation:

Lily used 3/4 of a chocolate bar, so the remaining chocolate bars can be found by subtracting 3/4 from the total number of chocolate bars b:

b - 3/4 = remaining chocolate bars

The problem tells us that there are 3 1/4 remaining chocolate bars, so we can substitute this value in the equation and solve for b:

b - 3/4 = 3 1/4

b = 3 1/4 + 3/4

b = 4

Therefore, the counselor put 4 chocolate bars on the table.

Answer: To solve this problem, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal, r is the interest rate as a decimal, and t is the time in years.

We are given that the interest rate is 1.95% = 0.0195, the time is 30 years, and the final amount in the account is $800. Let P be the principal we are trying to find.

First, we can use the formula to find the total interest earned over the 30-year period:

I = P * r * t

I = P * 0.0195 * 30

I = 0.585P

Next, we can use the fact that the final amount in the account is the sum of the principal and the interest:

800 = P + 0.585P

800 = 1.585P

P = 504.71

Therefore, the principal was $504.71 and the interest earned over the 30-year period was:

I = 0.585P

I = 0.585 * 504.71

I = 294.29

So the interest earned was $294.29.

Step-by-step explanation:

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

Answer:

The answer would be 14 miles!

Answer:

137.4%

Step-by-step explanation:

Answer:

85 degrees.

Step-by-step explanation:

These are parallelograms, meaning the opposite sides are parallel. Since they are parallel, that the line EA becomes a transversal and a bisector for the angle CEK. That means the angle 8 and 3 are equivalent and 7 and 4 are equivalent. This is due to Same Side Interior Angles. These are two halves of the big angle. If the halves are equal, so are the angles. Therefore, CEK = CAK.

According to the solution we have come to find that, 48% of the teas served were caffeinated.

A percentage is a way of expressing a proportion or a fraction as a number out of 100. The symbol used for percentage is the "%" sign. For example, if you have 10 apples and you want to express how many of them are red, you can say that 20% (or 2 out of 10) of the apples are red.

To find the percentage of caffeinated teas served, we need to divide the number of caffeinated teas by the total number of teas served, and then multiply by 100 to get the answer as a percentage.

Total number of teas served = 36 + 39 = 75

Percentage of caffeinated teas served = (36/75) x 100%

                                                                = 48%

Therefore, 48% of the teas served were caffeinated.

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By adding all the numbers in the line plot, we conclude that she will have enough olive oil.

To check this, we just need to add the 13 numbers and see if it is more than 16.

Each point above the line plot means how many times that number will apear in our sum, then the sum will be:

(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))

Now we need to solve that:

(2*0 + 4*(4/8) + 3*(6/8) + 3*1 + (1 + 2/8))

= 2 + 9/4 + 3 + 1 + 1/4

= 2 + 3 + 1 + 9/4 + 1/4

= 6 + 10/4

= 6 + 8/4 + 2/4

= 6 + 2 + 1/2

= 8 + 1/2

That is the amount of ounces of oil that she needs for the 13 recipes, it is less than 16 ounces, so she will have enough oil.

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Therefore, it will take about 46.5 minutes for the culture to achieve 10,000 bacteria.

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, x, ÷, etc.) that represents a mathematical quantity or relationship. Expressions can be as simple as a single number or variable, or they can be complex and involve multiple terms and operations. Examples of expressions include 2x + 5, 3y - 7, and (a + b)(c - d).

Here,

We can set up an equation to solve for t:

B(t) = 100 ·[tex]2^{t/20}[/tex]

= 10,000

Dividing both sides by 100, we get:

[tex]2^{t/20}[/tex] = 100

Taking the logarithm of both sides with base 2, we get:

t/20 = log2(100)

t = 20 · log2(100)

Using a calculator, we can simplify this to:

t ≈ 46.5 minutes

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If Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g. The equilibrium quantity is  40 units.

Given the demand function D(q) = 80 - 1.25q and the supply function S(q) = 0.75q, we can find the equilibrium quantity by setting these two functions equal to each other and solving for q:

D(q) = S(q)

80 - 1.25q = 0.75q

Simplifying this equation, we get:

2q = 80

q = 40

Therefore, the equilibrium quantity is q = 40. At this quantity, the quantity demanded is:

D(q) = 80 - 1.25q = 80 - 1.25(40) = 30

And the quantity supplied is:

S(q) = 0.75q = 0.75(40) = 30

Thus, the equilibrium quantity of Jake's wooden figurines is 40 units.

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If triangle ABC has points A(2, -4) B(-3, 1) C(-2, -6) and you perform the following transformations, B' would be located at B' (3, -4).

In Mathematics, a translation is a type of rigid transformation which is used in moving every point of an object in the same direction, as well as for the same distance.

By applying a reflection over the y-axis to the coordinate of the given point B (-3, 1), we have the following coordinates:

Coordinate B = (-3, 1)   →  Coordinate B' = (-(-3), 1) = (3, 1).

Next, we would apply a rotation of 90° clockwise as follows;

(x, y)                               →            (y, -x)

Coordinate B' = (3, 1) → Coordinate B' = (1, (-3)) = (1, -3)

Lastly, we would apply a translation (x + 2, y - 1) as follows:

Coordinate B' = (1, -3) → (1 + 2, -3 - 1) = B' (3, -4).

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The variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient.

In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

A coefficient in mathematics is a multiplicative component in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. When the coefficients are themselves variables, they may also be termed parameters.

Recognize that the variable term can be added to both sides to solve an inequality with a positive coefficient when it is solved with a negative coefficient; in this instance, the relationship between the variable and the inequality symbol has flipped.

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As a result, the cylinder's capacity is roughly 11,088 cubic metres.

The diameter of a circular is the distance measured through its middle. The radius of a circle is the distance to the middle to any spot on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d .

First, we need to find the radius of the cylinder. We know that the diameter is 28 meters, so the radius is half of that, which is 14 meters.

Using the formula for the volume of a cylinder, V = πr²h, we can now substitute the given values:

V = (22/7) x 14² x 4.5

Simplifying this expression:

V = (22/7) x 196 x 4.5

V = 11,088 cubic meters

Therefore, the volume of the cylinder is approximately 11,088 cubic meters.

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The normal hourly rate is   16.28  units

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Let r be your rate you get paid per hour normally.

Total = 33 hours

Extra hour = 33 -32 = 1 hour

We have

32r + 1.5r =  545.38

=> 33.5r = 545.38

=> r = 545.38 /33.5 = 16.28

The normal hourly rate is   16.28  units

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Answer:

copy paste it on gool then you will find the same thing but it has it done

Step-by-step explanation:

The image of the point B after the rotation by 180 degrees about point C is (0, 0)

Given that

B = (4, 4)

C = (3, 1)

The rotation rule is given as

Rotation by 180 degrees counterclockwise around vertex C

The rule of 180 degrees counterclockwise about the origin is

(x,y) = (-x,-y)

If the center of rotation is (a, b), then we have

(x,y) = (-(x - a) + b, -(y - b) + a)

So, we have

B' = (-(4 - 3) + 1, -(4 - 1) + 3)

Evaluate

B' = (0, 0)

Hence, the image of the point is (0, 0)

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