Find the scale factor of figure A to figure B

Answer:

m = 6

Step-by-step explanation:

first combine like terms

so 7m = 42

then isolate the variable by dividing both sides by 7

m = 42/7

m = 6

Answer:

there's nothing there. If you put the question there, I could help.

Lucinda will buy 2 kewpie dolls and 1 beanie baby if she were rational.

According to the question,

Given the table below compares the marginal benefit Lucinda gets from Kewpie dolls and Beanie Babies. The image of the table is attached.

If Lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6,

Lucinda will buy the combination for which the marginal benefit is the same.

Therefore, Lucinda will buy 2 kewpie dolls and 1 beanie baby, if she were rational.

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The complete question is:

If Lucinda has only $18 to spend and the price of kewpie dolls and the price of beanie babies are both $6, how many of each would Lucinda buy if she were rational? 0 kewpie dolls and 3 beanie babies 3 kewpie dolls and 0 beanie babies 2 kewpie dolls and 1 beanie baby 1 kewpie doll and 2 beanie babies

The maximum number of points on the convex hull of a set of 100 points inside a square is 4.

A Convex Hull is defined as  the smallest convex polygon which contains all the points in a set.

Since the points are inside a square, which means : the convex hull must be a subset of the square's boundary. The boundary of the square has 4 sides, so the maximum number of points on the convex hull is 4.

In Square , the number of points on the convex hull is a function of the distribution of the points and the shape of the region in which they are located.

Therefore , the maximum number of points on the convex hull of a set of 100 points inside a square is 4.

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Answer:

the second one. n + (-8) = 14.

Step-by-step explanation:

The slope of the linear relationship is -5/2.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope of a line with two points (x, y) and (x', y') on the line is,

Slope = (y' - y) / (x' - x)

Consider any two points from the line.

Let the points be (0, 3) and (2, -2).

Slope = (-2 - 3) / (2 - 0) = -5/2

Hence the slope of the given graphed line is -5/2.

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Answer: 0.25 seconds.

Step-by-step explanation:

To find the time of flight of the bullet, we need to divide the distance the bullet travels by its velocity.

Average speed is distance over time. so

time = distance/speed

time = 500m / (2000 m/s)

time = 0.25 seconds

So, the bullet's flight time is 0.25 seconds.

The dilation is am enlargement or a reduction then the scale factor be 2.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

To scale shapes in various dimensions, utilize the scale factor. Different geometrical shapes, both in two- and three-dimensions, are covered in geometry classes. The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements.

A scale factor is the amount by which a thing is multiplied to produce a separate object that has the same appearance but is a different size. It creates a precise copy that is just bigger or smaller than the original. Scale Factor multiplies the image or object in the same way as a copy machine would enlarge or reduce it.

Taking two points and dividing them would yield the factor.

For instance, if the point was between x = 2 and x = 4, their division would be 4/2 = 2, as shown on the right side.

Now, if we split the points x = -1 and x = -2 on the left side, we get -2/-1 = 2.

Therefore, the scale factor be 2.

The complete question is;

22. the blue figure is a dilation image of the black figure. The center of the dilation is O. Tell whether the dilation is am enlargement or a reduction. Then find the scale factor

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Answer:

52 girls

Step-by-step explanation:

You have to find the total number of students first which is 80. Then you figure out 65% of 80. You can write a proportion which is 65/100 = x/80, you then solve for x by using the butterfly method.

So,

65/100 = x/80

5200 = 100x

divide by 100 to isolate x

52 out of the 80 students are girls

In the given trapezium/trapezoid ABCD, the value for the measure of ∠ADC is obtained as 157.4°.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

A trapezoid is also known as a trapezium.

A trapezium ABCD is given.

BE represents the height of the trapezium.

In Δ ABE use the trigonometric ratio since it is a right-angled triangle, to find the unknown ∠A.

cos θ = base / hypotenuse

Substitute the values in the equation -

cos θ = AE / AB

cos θ = 12 / 13

θ = 22.62°

The value of ∠A or ∠BAC is 22.62°.

Now ∠BAC and ∠ADC lie on the sample plane.

So according to the properties of a trapezium, the angles that lie on the plane have a sum of 180°.

The equation for the statement is -

∠BAC + ∠ADC = 180°

Substitute the values in the equation -

22.62° + ∠ADC = 180°

∠ADC = 180° - 22.62°

∠ADC = 157.38° ≈ 157.4°

Therefore, the measure of ∠ADC is 157.4°.

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The unit digit of the product of 91, 92, 93, ... 99 is 0.

The digit that goes in the place of one in a number is known as the unit digit. i.e. It is the number's rightmost digit. As an illustration, the unit digit for 243 is 3, whereas the unit digit for 39 is 9.

It is easy to identify the unit place digit of the smaller number but when it comes to the numbers raised to the larger power it becomes difficult to identify the same by simple observation. It is when the concept of cyclicity comes into the picture.

The cyclicity concept is based on the fact that every digit in the number has its own repetitive pattern when raised to any specific power. This particular concept makes it easy for the students to find the unit place digit of the larger numbers and that too at much less time. So, let's learn about the cyclicity concept.

For example: - 2² = 4. Here, the unit digit is 4

2³ = 8. Here, the unit digit is 8.

Given:

91 × 92 × 93......×98 × 99

We want to find unit digit of the product of the numbers.

Here two digit is 92 and 95.

If we multiply 92 and 95, we will get zero as unit digit and if we multiply any digit by zero, unit digit always be zero.

So, the product of 92× 95 has zero in unit place.

So, in product of all numbers 91 × 92 × 93......×98 × 99 the unit will be zero. Because when we multiply any number by zero it become zero.

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In third table constant rate is not changed.

Hence the correct data table is option C.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here in given question, the constant rate is of motion detector is determined by difference between the distance by time. Now,

In option A)  first table ,

=> constant rate = 10-10 =0

=> constant rate = 10-10=0

=> constant rate = 10-8 = 2

Here 0≠ 2. Then given table is not refer motion detector.

In option B) second table,

=> constant rate = 3-3=0

=> constant rate = 3-5 =-2

Here 0≠-2 then the given table is not refer motion detector.

In option C) third table,

=> constant rate = 9-7 =2

=> constant rate = 7-5 =2

=> constant rate = 5-3 =2

In this given table constant rate is not changed.

Hence the correct data table is option C.

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Answer

a15 is equal to 75

sin X = 0.72, cos X = 0.69, tan X = 1.05

The Pythagorean Theorem is a fundamental mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The theorem can be expressed mathematically as c² = a² + b², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse. The theorem can be used to find the length of a missing side of a right triangle if the lengths of the other two sides are known.

To find sin X, cos X, and tan X in triangle ABC, we need to first find the measures of the other angles in the triangle. Since angle C is a right angle, we can use the Pythagorean theorem to find the lengths of the sides adjacent to angle X (i.e., sides AC and BC).

AC² + BC² = AB²

(12.6)² + (12)² = (17.4)²

159.36 + 144 = 304.76

303.36 = 304.76

Since AC² + BC² = AB², we can conclude that triangle ABC is a right triangle, with angle X as the acute angle opposite side AC.

Using the definitions of sine, cosine, and tangent, we can find the values of sin X, cos X, and tan X:

sin X = [tex]\frac{AC}{AB}[/tex] = 12.6 / 17.4 = 0.72

cos X = [tex]\frac{BC}{AB}[/tex] = 12 / 17.4 = 0.69

tan X = [tex]\frac{AC}{BC}[/tex]= 12.6 / 12 = 1.05

Rounding to the nearest hundredth, the values are:

sin X = 0.72

cos X = 0.69

tan X = 1.05

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Answer: the answer is

53.1

By multiplying the unit by 0.304, you can convert feet to meters.

In order to convert between feet and metres, basic math is needed. You can change the unit from feet to metres by multiplying by 0.304. As a result, you would need to multiply 5 by 0.304 in order to convert 5 feet to metres, for example.

Therefore, 5 feet is equal to 5 times 0.304, or 1.52 metres.

One can change measurement units from feet to metres by using the simple calculation Meter = Feet X 0.3048.

Below are some examples of feet-to-meter conversions.

Meter in feet

10 feet are equivalent to 10 * 0.305.

3.048 Meter

20 feet are equivalent to 20*0.305.

6.096 Meter

50 feet are equivalent to 50 * 0.305.

15.24 Meter

75 feet are equivalent to 75 * 0.305.

22.86 Meter

100 feet is equivalent to 100 * 0.305 30.48 meters.

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This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

The set ⋂i=15Ai is the set of all positive integer multiples of the least common multiple (LCM) of 1, 5.

To find the LCM of 1 and 5, we multiply them together: LCM(1,5) = 1 * 5 = 5.

Therefore, the set ⋂i=15Ai is the set of all positive integer multiples of 5: {5, 10, 15, 20, ...}.

Using set builder notation, this set can be written as:

⋂i=15Ai = {x ∈ Z | x is a multiple of 5} = {5x | x ∈ Z and x > 0}.

Therefore, This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

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Answer:

then he'll get a bagel 2 pieced sanwich with a side of E

Step-by-step explanation:

Answer:

ms Jackson let m=the number of miles ms

Answer:

Score in 4th game = 94

Step-by-step explanation:

The mean is the average of all the data points, which means we divide the sum of all the points by the total number of points.

Letting s represent the score in the 4th game, we can use the following equation to find the score needed to end up with a mean score of 100:

[tex]\frac{99+92+115+s}{4}=100\\ \frac{306+s}{4}=100\\ 306+s=400\\s=94[/tex]

Karen that has a piece of fabric that is 1 187/240 yards long needs to trim 227/240 yards

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

To solve this problem we must perform the corresponding algebraic operations with mixed fraction.

Data of the problem:

A mixed operation is solved as follows:

For the denominator: the same denominator is placed.

For the numerator:

The value of the denominator is multiplied by the integer component.

The result is added to the numerator of the fraction.

We transform the mixed fractions into improper fractions and we have:

1 187/240 =

[(240*1) + 187)] /240=

[240+ 187] /240=

427/240

Calculating how many yards should she trim:

Yards to trim: 427/240 - 5/6

Yards to trim: (427 - 200) / 240

Yards to trim: 227/240

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The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression ,

38 / 9 .

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 38 on the right side like this:

Step 2:

The divisor (9) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

Step 5:

Move down the 2nd digit of the dividend (8) like this:

Step 6:

The divisor (9) goes into the bottom number (38), 4 time(s). Therefore, put 4 on top:

Step 7:

Multiply the divisor by the result in the previous step (9 x 4 = 36) and write that answer at the bottom:

Step 8:

Subtract the result in the previous step from the number written above it. (38 - 36 = 2) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

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With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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The symmetric equations of the line that passed through the given point and parallel to the given vector are x+2=0 , 3y=3-2z

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:  The co-ordinate P(-2,1,0) and parallel vector with components (0,2,-3)

The parametric equations of the line through the point  P(-2,1,0)  and parallel to the vector: u= (0,2,-3)are:

{x = -2

{y = 1+2t

{z = -3t

In order to get the symmetric form we derive t from the third and replace it into the second

t=-z/3⇒ y=1+2×(-z/3)

3y=3-2z

The symmetric form is

x+2=0 , 3y=3-2z

Hence, The symmetric equations of the line that passed through the given point and parallel to the given vector are x+2=0 , 3y=3-2z

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The patient should receive 50 gtt/min of heparin using a 60 gtt/ml set.

The unitary method is a useful tool in determining the amount of medication to be administered in a given time period.

The physician has ordered a medication called heparin, which is used to prevent blood clots.

The physician has ordered the patient to receive 1250 units of heparin per hour.

You have a solution of 50,000 units of heparin in 1000 ml.

To calculate the number of drops of heparin that the patient should receive per minute, we will use a method called the unitary method.

First, we need to determine the flow rate in ml/hr.

=> 50,000 units / 1000 ml = 50 ml/hr.

Now, we need to convert this to drops per minute.

=> 50 ml/hr x 60 gtt/ml = 3000 gtt/hr.

Finally, we divide the total number of drops per hour by 60 to get the number of drops per minute. So,

=> 3000 gtt/hr / 60 minutes = 50 gtt/min.

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The probability none choose option is [tex]\frac{243}{1024}[/tex]  , the probability all choose option A is [tex]\frac{1}{1024}[/tex] , the probability 3 students choose option C is [tex]\frac{15}{256}[/tex]  

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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The value of give operation is =[[0,-4,-28][20.4.-32]]

A rectangular or square array of numbers or variables that are arranged in rows and columns is known as a matrix in mathematics. Elements or entries are the names for individual things in a matrix.

The application of matrix plays a major role in Mathematics, as well as in other fields. It helps in solving linear equations. Matrices are extremely valuable objects that can be found in a wide range of applications. The application of matrices in mathematics is used in a wide range of scientific fields as well as mathematical areas. Engineering mathematics is used in almost every aspect of our lives. In this article, we are going to learn what is a matrix, different matrix operations and the application of matrices in detail.

Some of the matrix's rows and columns define how big it is. A matrix of "m" rows and "n" columns is written as "m*n," where "m" and "n" are the dimensions of the matrix.

We have, c=-4

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

first, compute the cA.

[tex]=(-4)\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\cA=\left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\Now, BcA=\left[\begin{array}{ccc}1&2\\-1&3\\\end{array}\right] \left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\\\=\left[\begin{array}{ccc}0&-4&-28\\20&4&-32\\\end{array}\right][/tex]

The complete question is-

Perform the indicated operation,c=-4,

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

B(cA)=?

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Answer:

Step-by-step explanation:

If a line is parallel to a side of a triangle, then the intersected sides are divided proportionally

4/2=y/3

2=y/3

y=2*3 = 6

next,

If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.

(4+2)/4=6/x

6/4=6/x

x=4