Kai is looking for his first job as a pharmacy technician. He prepares for the job by memorizing household, metric, and apothecary abbreviations. In addition, he memorizes the methods for converting data between those measurement systems. Perform the following calculation using the ratio and proportion method. How many ounces (oz) are equal to 4 cups?

The image of the XY will be 5 times larger than the after dilation.

What is dilation?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

Segment XY mesured as 5cm

It will undergo dilation.

If X(0,0) and Y(x,y)

XY = √x²+y²

The factor we need to multiply, a

X'(0,0), Y'(ax,ay)

So the X'Y'=√a²x²+a²y²

X'Y'=a√x²+y²

X'Y'=aXY = 5a

Hence the image of the XY will be 5 times larger than the after dilation.

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Answer:

1.c

2.b

3. c

4.d

Step-by-step explanation:

leave an brainlest!

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Step-by-step explanation:

Confidence interval:

Sample proportion plus/minus margin of error.

In this question:

Sample proportion of 0.45, margin of error of 0.04. So

0.45 - 0.04 = 0.41

0.45 + 0.04 = 0.49

The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

The mixed number will be 13 3/4.

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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the answer is 4/5 i don't know

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

5.25 minutes

Step-by-step explanation:

Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Answer:

the answer is approximately 28.28

Step-by-step explanation:

you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.

Answer:

(3x−2)(2x−3)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

\(2\pi r\)

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

\(2\pi r=\\2\pi *4=\\8\pi\)

\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

Answer:

y>2

Step-by-step explanation:

Answer:

y < 10

Step-by-step explanation:

8 - 6y > -4(y + 3)

8 - 6y > -4y -12

-6y + 4y > -20

-2y > -20

y < 10

Answer:

A. Inscribed angle theorem

Step-by-step explanation:

The missing reasons in the proof are inscribed angles theorem​.

In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,

The reasons are inscribed angles theorem.

Inscribed angles theorem :-

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Hence the missing reasons in the proof are inscribed angles theorem​.

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

False

A sphere is 3 dimensional.

Answer:

c

Step-by-step explanation:

\((7 {y}^{6} ) {(2 {y}^{ - 4} )}^{2 } = = = > \\ (7 {y}^{6} )( \frac{4}{ {y}^{8} } ) = = = > \\ ( \frac{28 {y}^{6} }{ {y}^{8} } ) = = > \\ ( \frac{28}{ {y}^{2} } )\)

Answer:

it would be 250 + 95x

Step-by-step explanation:

x would be the amount of hours if there isnt a written amount.

there fore 250 = 95 is 345x unless there is a designated amount of hours

MAY NOT BE THE RIGHT ANSWER BECAUSE LACK OF INFORMATION!

a. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (0,-6) is y = -1/m * x - 6

b. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (2,-2) is y = -1/m * x - 2

what is intercepts?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

a. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (0, -6) can be written as:

                                    y = mx + b

  where m is the slope and b is the y-intercept.

Since the line is perpendicular to the graph, the slope of the line is the negative reciprocal of the slope of the graph. The y-intercept is (-6).

Therefore, the equation of the line is y = -1/m * x - 6

b. The equation of the line that is perpendicular to the graph and intercepts the y-axis at (2, -2) can be written as:

                                  y = mx + b

  where m is the slope and b is the y-intercept.

Since the line is perpendicular to the graph, the slope of the line is the negative reciprocal of the slope of the graph. The y-intercept is (-2).

Therefore, the equation of the line is y = -1/m * x - 2

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Answer:

6/30

Step-by-step explanation:

20 percent of 30 is 6 ^_^

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

1. <1 and <2 are congruent

Step-by-step explanation:

✔️Statement 1 is NOT TRUE:

Rationale: with the information given, we cannot determine the measure of each of the angles.

✔️Statement 2 is TRUE:

Rationale: complementary angles add up to 90°. The sum of both angles equals 90°

✔️Statement 3 is TRUE:

Rationale: the red little box indicates a right angle

✔️Statement 4 is TRUE:

Rationale: adjacent angles share a common side. Both angles share a common side, so they are adjacent to each other.