The product of g and2 is less than it equal to 6?

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

Answer:

I think the answer is 2 3/7. because you are decreasing 1/7.

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Map distance = 3 cm

Scale

1 cm map = 2 km

Step 02:

1 cm map -------------- 2 km

3 cm map -------------- x

x * 1 cm map = 2 km * 3 cm map

x = (2 * 3) / 1 = 6 km

The actual distance will be:

Answer: 6 kilometers

Step-by-step explanation: because the scale is 1cm to 2km so 3x2=6

Answer:

60

Step-by-step explanation:

since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60

Answer:

Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)

If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.

15apples:3pies   =   60apples:12pies

We have proved that AB = CD in the given trapezoid ABCD using the properties of the trapezoid and the circle.

To prove that AB = CD, we will use several properties of the given trapezoid and the circle. Let's start by analyzing the information provided step by step.

AC is the bisector of angle BAD:

This implies that angles BAC and CAD are congruent, denoting them as α.

M is the midpoint of CD:

This means that MC = MD.

The circumcircle of triangle OMD intersects AC again at point K:

Let's denote the center of the circumcircle as P. Since P lies on the perpendicular bisector of segment OM (as it is the center of the circumcircle), we have PM = PO.

BK ⊥ AC:

This states that BK is perpendicular to AC, meaning that angle BKC is a right angle.

Now, let's proceed with the proof:

ΔABK ≅ ΔCDK (By ASA congruence)

We need to prove that ΔABK and ΔCDK are congruent. By construction, we know that BK = DK (as K lies on the perpendicular bisector of CD). Additionally, we have angle ABK = angle CDK (both are right angles due to BK ⊥ AC). Therefore, we can conclude that side AB is congruent to side CD.

Proving that ΔABC and ΔCDA are congruent (By SAS congruence)

We need to prove that ΔABC and ΔCDA are congruent. By construction, we know that AC is common to both triangles. Also, we have AB = CD (from Step 1). Now, we need to prove that angle BAC = angle CDA.

Since AC is the bisector of angle BAD, we have angle BAC = angle CAD (as denoted by α in Step 1). Similarly, we can infer that angle CDA = angle CAD. Therefore, angle BAC = angle CDA.

Finally, we have ΔABC ≅ ΔCDA, which implies that AB = CD.

Proving that AB || CD

Since ΔABC and ΔCDA are congruent (from Step 2), we can conclude that AB || CD (as corresponding sides of congruent triangles are parallel).

Thus, we have proved that AB = CD in the given trapezoid ABCD using the properties of the trapezoid and the circle.

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bottom was cut off a bit its 4=b

Answer:

The mean ≈ 90

The median = 95

The mode = 95 & 100

The range = 37

Step-by-step explanation:

We will base out conclusion by calculating the measures of central tendency of the distribution i.e the mean, median, mode and range.

– Mean is the average of the numbers. It is the total sum of the numbers divided by the total number of students.

xbar = Sum Xi/N

Xi is the individual student score

SumXi = 63+66+70+81+81+92+92+93+94+94+95+95+95+96+97+98+98+99+100+100+100

SumXi = 1899

N = 21

xbar = 1899/21

xbar = 90.4

xbar ≈ 90

Hence the mean of the distribution is approximately equal to 90.

– Median is number at the middle of the dataset after rearrangement.

We need to locate the (N+1/2)the value of the dataset.

Given N =21

Median = (21+1)/2

Median = 22/2

Median = 11th

Thus means that the median value falls on the 11th number in the dataset.

Median value = 95.

Note that the data set has already been arranged in ascending order so no need of further rearrangement.

– Mode of the data is the value occurring the most in the data. The value with the highest frequency.

According to the data, it can be seen that the value that occur the most are 95 and 100 (They both occur 3times). Hence the modal value of the dataset are 95 and 100

– Range of the dataset will be the difference between the highest value and the lowest value in the dataset.

Highest score = 100

Lowest score = 63

Range = 100-63

Range = 37

Using trigonometric identities sinx/(1 + cosx) + cotx = cosecx

Trigonometric identities are equations that contain trigonometric ratios.

Given the trigonometric identity

sinx/(1 + cosx) + cotx = cosecx, we need to show that Left Hand Side (L.H.S) equals Right Hand Side (R.H.S). We proceed as follows.

L.H.S = sinx/(1 + cosx) + cotx

Taking the L.C.M of the equation, we have that

sinx/(1 + cosx) + cotx = [sinx + cotx(1 + cosx)]/(1 + cosx)

=  [sinx + cotx + cotxcosx)]/(1 + cosx)

=  [sinx + cosx/sinx + cosxcosx/sinx)]/(1 + cosx)

=  [sin²x + cosx + cos²x)/sinx)]/(1 + cosx)

= [sin²x + cos²x + cosx)/sinx)]/(1 + cosx)

= [1 + cosx)/sinx)]/(1 + cosx) (since sin²x + cos²x = 1)

= 1/sinx

= cosecx

= R.H.S

Since L.H.S = R.H.S

So, sinx/(1 + cosx) + cotx = cosecx

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Answer:

1/6

Step-by-step explanation:

Side AB * scale factor = Side DE

72* scale factor = 12

Divide each side by 72

scale factor = 12/72

scale factor = 1/6

Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF

A triangle is a three-sided polygon that consists of three edges and three vertices.

Dilation is a transformation, which is used to resize the object

The size by which the shape is enlarged or reduced is called as its scale factor.

DEF is dilated graph of ABC

Let us take any side of ABC and its corresponding side to find the scale factor

Side AB × scale factor = Side DE

72×scale factor = 12

Divide each side by 72

scale factor = 12/72

scale factor = 1/6

Hence, 1/6 is the scale factor of triangle ABC to triangle DEF

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Answer:

yes it is right now you can write it

Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6

Answer:

-11

Step-by-step explanation:

Answer:

5ºC/h x 7 h = 35ºC

Answer:

10:19 15:27 20:36

Step-by-step explanation:

The probability that engineer jane or manager Mary is on the committee is 0.5157.

Given a committee to be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers, what is the probability that engineer jane or manager Mary is on the committee?

We have to calculate the probability that engineer Jane or manager Mary is on the committee. We will use the principle of inclusion and exclusion to solve this problem. The number of managers that can be selected from 11 managers is

11C4 = 330

The number of engineers that can be selected from 16 engineers is

16C4 = 1820

The total number of ways in which the committee can be formed is

330 * 1820 = 599400

Jane is one of 16 engineers. The number of committees that Jane can be a member of is given by:

15C3 * 11C4 = 1365 * 330 = 450450

Mary is one of 11 managers. The number of committees that Mary can be a member of is given by:

10C4 * 16C4 = 1820 * 210 = 382200

The number of committees that contain both Jane and Mary is given by:

10C3 * 15C3 = 120 * 455 = 54600

Therefore, the probability that either Jane or Mary is on the committee is given by:

P(Jane or Mary) = P(Jane) + P(Mary) - P(Jane and Mary)P(Jane or Mary)

= 450450/599400 + 382200/599400 - 54600/599400P(Jane or Mary)

= 0.5157 (rounded to four decimal places)

Therefore, the probability that engineer jane or manager Mary is on the committee is 0.5157.

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The answer is A) 3x0.36, which is approximately equal to 4.68

Since cos(B) = 0.36, we can use the Pythagorean identity

To find sin(B):

sin^2(B) + cos^2(B) = 1

sin^2(B) = 1 - cos^2(B)

sin(B) = sqrt(1 - cos^2(B)) = sqrt(1 - 0.36^2) = sqrt(0.8736) ≈ 0.934

Now we can use the sine ratio to find side a:

sin(B) = a/c

a = sin(B) * c = 0.934 * 5 = 4.67

So the answer is A) 3x0.36, which is approximately equal to 4.68               (close to our calculated value for side a).

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Answer:

see below

Step-by-step explanation:

A 1,0

B 3,0

P 0,3

Q 2, -1

New car prices to fall within is $18,300 - $41,900

Interval of prices would we expect at least 95% of new car prices to fall within Suppose that the average price for new cars has a mean of $30,100, a standard deviation of $5,600 and is normally distributed. Based on this information, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.How to solve the problem? We know that the average price of new cars is $30,100 and the standard deviation is $5,600. The normal distribution has 95% of the data points within two standard deviations of the mean. Therefore, the interval of prices that we would expect at least 95% of new car prices to fall within is given by:Lower limit: $30,100 - 2 × $5,600 = $18,300Upper limit: $30,100 + 2 × $5,600 = $41,900Thus, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.

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The distance of AB, given the graph and the coordinates of the line, would be 5. 66 units .

To find the distance of AB, we can use the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in these values, we get:

d = √((-2 - 2)^2 + (-2 - 2)^2)

= √((-4)^2 + (-4)^2)

= √(16 + 16)

= √(32)

Simplifying the square root, we get:

d = √(16 x 2)

= √(16) x √(2)

= 4 x √(2)

= 5. 66 units

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The full question is:

Find the distance of line AB if A(2, 2) and B(-2,-2).

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The volume of the sphere is 2308.4 mm³

From the question, we are to determine the volume of the sphere

The volume of a sphere is given by the formula

\(V=\frac{4}{3}\pi r^{3}\)

Where V is the volume

and r is the radius

From the given information,

Diameter, d, of the sphere = 16.4 mm

r = 16.4/2

r = 8.2 mm

∴ \(V=\frac{4}{3}\times 3.14 \times 8.2^{3}\)

V = 2308.394

V ≅ 2308.4 mm³

Hence, the volume of the sphere is 2308.4 mm³

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The only sort of proof among the following options in the question that is frequently employed in geometry is the 'two-column' proof.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

A two-column geometric proof consists of a list of assertions and the justifications for each one's truth.

The statements are listed in a left-hand column, while the justifications for the statements are listed in a right-hand column.

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Answer:

A) spring tide

Step-by-step explanation:

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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Answer:

35 units²

Step-by-step explanation:

area = 7 x 5 = 35 units²

Answer:

the pic is blurry

The direction of a correlation is indicated by both the sign (or -) and its numerical value. C option is correct.

When examining the correlation between two variables, the sign of the correlation coefficient (positive or negative) reveals the direction of the relationship. A positive correlation indicates that as one variable increases, the other variable also tends to increase. In contrast, a negative correlation suggests that as one variable increases, the other variable tends to decrease.

Furthermore, the numerical value of the correlation coefficient quantifies the strength of the relationship. A correlation coefficient close to +1 or -1 denotes a strong correlation, while a value near 0 signifies a weak or no correlation. Therefore, both the sign and numerical value of the correlation are essential in determining its direction and strength.

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