What are the measures of ∠ADC

and ∠DCB

in the figure?

Answer:

im not sure but I think its 8.3

Answer: Power property:  That means the power m can be brought down to front of the logarithm.

Step-by-step explanation:

Logarithmic function, Log 152 can be written as Log 19 + 3 log2.

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bˣ is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Given, A logarithmic function  log152

Simplifying the Function,

=> log152

=> log( 19 * 8)

From the additional property of the log,

=> log 19 + log 8

=> log 19 + log2³

From the power property of the logarithmic

=> log 19 + 3 log2

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Answer:

1 question is 90 2 question is 28

Step-by-step explanation:

i used a calucalator

Answer:

x = 6, y = 128

Step-by-step explanation:

5x + 16° = 7x + 4°

5x - 7x = 4° - 16°

-2x = -12°

x = 6°

y + 6° + 7x + 4° = 180°

y + 6° +7(6) + 4 = 180°

y + 52° = 180°

y = 180° - 52°

y = 128°

Answer:

A

Step-by-step explanation:

Put the values of x and y into the expression, then multiply the values.

7 x 3 x 2 x 4 = 168

Answer:

B. 252

Step-by-step explanation:

\(7x^2y\)

Put x as 3 and y as 4.

\(7\left(3\right)^2\left(4\right)\)

Evaluate.

\(7(9)(4)\)

\(=252\)

Answer:

\(7xyz + 21 {x}^{2} y \)

factorise out 7, x and y:

\( = 7xy(z + 3x)\)

Answer:

\(\huge\boxed{\sf 7xy (z + 3x)}\)

Step-by-step explanation:

\(\sf 7xyz +21x^2y\\\\H.C.F. = 7xy\\\\Hence, \ Take \ 7xy \ as \ common\\\\= 7xy (z + 3x)\\\\\rule[225]{225}{2}\)

Hope this helped!

The next row of Pascal's triangle for the given row 1 7 21 35 35 21 7 1 is equal to  1 8 28 56 70 56 28 1.

Row of Pascal's triangle is equal to,

1 7 21 35 35 21 7 1

To find the next row of Pascal's triangle given the row 1 7 21 35 35 21 7 1,

Use the property that each element in Pascal's triangle is the sum of the two elements directly above it.

Let us calculate the next row,

Row  =       1 7 21 35 35 21 7 1

Next row =  1 _ _ _ _ _ _ 1

To fill in the missing values,

Start by writing down the first and last elements, which are always 1,

Row = 1 7 21 35 35 21 7 1

Next row= 1 _ _ _ _ _ _ 1

Next, we can calculate the remaining elements by adding the two elements directly above each empty space,

Row =  1 7 21 35 35 21 7 1

Next row = 1 8 _ _ _ _ 8 1

Continuing the process,

Row = 1 7 21 35 35 21 7 1

Next row = 1 8 28 _ _ 28 8 1

Row = 1 7 21 35 35 21 7 1

Next row = 1 8 28 56 _ 56 28 1

Row = 1 7 21 35 35 21 7 1

Next row = 1 8 28 56 70 56 28 1

Therefore, the next row of Pascal's triangle is 1 8 28 56 70 56 28 1.

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Answer:

First angle = x

Second angle = x - 32

We know that, complementary angles form => 90°

So,

\(x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61\)

First angle,

=> x = 61°

Second angle

\(x - 32 \\ = 61 - 32 \\ = 29\)

Second angle,

=> 29°

(≧▽≦)

A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.

When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.

This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.

They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.

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Answer:

B (2, 4)

Step-by-step explanation:

A (-1,-9); M (0.5, -2.5); B (xB, yB)

M is the midpoint of AB, therefore we have these 2 equations:

(*) xA + xB = 2. xM

(**) yA + yB = 2. yM

(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2

(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4

So, B (2, 4)

Answer:

g=20

Step-by-step explanation:

Answer:g=<25

Step-by-step explanation:

The target population for this survey is the registered voters in the city of Raleigh who are eligible to vote in the upcoming city council election.

The target population for a survey refers to the specific group of people that the survey is intended to represent or provide information about. In this case, the survey was conducted to gather information about the voting preferences of registered voters in the city of Raleigh for the upcoming city council election. Therefore, the target population for this survey would be the registered voters in the city of Raleigh who are eligible to vote in this election.

It's important to note that the target population is not the same as the sample population. The sample population refers to the group of people who actually participated in the survey, while the target population refers to the larger group of people that the sample population is intended to represent. In this case, the sample population was the 350 randomly selected registered voters who participated in the telephone poll.

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Answer:

2×\(10^{8}\)

or

200000000

Step-by-step explanation:

\(\frac{6.28*10^{12} }{3.14*10^4}\)

2×\(10^{8}\)

or

200000000

To determine the possible values of k given that Jk lies between 2.2 and 2.3, we need to select all the values of k from the given options that satisfy the condition. The explanation below will provide the solution.

Since Jk lies between 2.2 and 2.3, we can conclude that the value of k should produce a result between these two values when substituted into the expression Jk.

Let's evaluate the given options:

1.494: When substituted into Jk, this value falls within the range of 2.2 and 2.3.

0.855: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.

0.045: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.

0.36: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.

Therefore, the possible values of k that satisfy the given condition are 1.494.

In summary, the only possible value of k from the given options that makes Jk lie between 2.2 and 2.3 is 1.494.

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Answer:

$9.55

Step-by-step explanation:

152.80/8=19.10-what he makes per hour

19.10/2=9.55 what he makes for half an hour

Answer:

19.1 I think is the answer I am not sure

Step-by-step explanation:

The X, Y, and Z axes define a three-dimensional coordinate system, which is commonly used to represent physical objects or mathematical functions in space.

The X, Y, and Z axes are terms commonly used in mathematics, physics, engineering, and computer graphics to refer to the three dimensions in a three-dimensional coordinate system.

The X-axis is the horizontal axis and is used to represent values along the horizontal plane. It is often called the "abscissa" and is typically drawn as a horizontal line that intersects with the Y-axis at the point where they meet, which is called the origin.

The Y-axis is the vertical axis and is used to represent values along the vertical plane. It is often called the "ordinate" and is typically drawn as a vertical line that intersects with the X-axis at the origin

.The Z-axis is the third axis and is used to represent values along the depth or height plane. It is often called the "applicate" and is typically drawn as a line that is perpendicular to both the X and Y axes, intersecting with both at the origin.

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Answer:

-8

Step-by-step explanation:

|5x-2|=7x+14

or, 5x - 7x = 14 +2

or, -2x = 16

or, x= 16/ -2

or, x= -8

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Step-by-step explanation:

Prove the LHS

Using trigonometric identities

That's

Rewrite the expression

We have

So we have

Using trigonometric identities

Rewrite the expression

That's

Reduce the expression with cos a

We have the final answer as

As proven

Hope this helps you

Answer:

the 4 pack is cheaper

Step-by-step explanation:

divide the price of the pack by the number rolls in it

4 pack is about 51 cents per roll

9 pack is 52 cents per roll

Answer: B) different y intercepts; same end behavior

=======================================================

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, \(x \to -\infty, y \to \infty\)

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, \(x \to \infty, y \to 2\)

To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

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Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has \(1584\ \text{Umbrellas}\)

One case will hold \(38\) Umbrellas

Number of cases required to hold all the Umbrellas are

\(\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42\)

Thus, 42 packs are required to hold all the Umbrellas

Answer: 12 different ways.

Step-by-step explanation:

For a set of M elements, the number of combinations of N elements (N ≤ M) is given by:

In this case, we know that there is a room that can hold two of the girls, then the number of combinations of the two girls that can be in that room is:

So these are the different combinations for the larger room.

So we assume that two girls already have a room, then we have two girls left and two rooms left.

For the first room, there are two possible girls that can be in, let's choose one of them.

For the last room, we have only one girl left, so we have one option.

The total number of combinations will be equal to the product between the number of options for each event (where the events are assigning the girls to the rooms)

Then the number of different outcomes is:

C = 6*2*1 = 12

There are 12 different ways.

If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x,  can be presented by the compound inequality 10 < x < 19.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:

31 < sum < 40

If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:

31 < 9 + 12 + x < 40

31 < 21 + x < 40

Subtracting 21 at all sides,

31 - 21 < 21 + x - 21 < 40 - 21

10 < x < 19

Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.

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