Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+

Answer:

Step-by-step explanation:

6x² + 108x + 707  = 5

Subtract 707 from both sides

6x² + 108x = 5 - 707

6x² + 108x = - 705

Divide the whole equation by 6

\(\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\\)

Divide 18 by 2 = 9

Add 9² to both sides

x² + 18x + 9² = -117 + 9²

x² + 18x  + 81 = -117 + 81

(x + 9)² = - 36

Answer:

(x + 9)^2 = -36

Step-by-step explanation:

6x^2 + 108x + 707 = 5

6x^2 + 108x = -702

x^2 + 18x = -117

x^2 + 18x + (18/2)^2 = -117 + (18/2)^2

x^2 + 18x + 81 = -117 + 81

(x + 9)^2 = -36

Answer:

B

Step-by-step explanation:

6.25% of Year 11 students are not doing homework regularly according to the school's report.

Based on the information provided in the frequency tree, we can determine the percentage of students not doing homework regularly.

First, let's find the total number of students:

Total students = (Students doing homework regularly) + (Students not doing homework regularly)

Total students = 75 + 5 = 80

Now, let's calculate the percentage of students not doing homework regularly:

Percentage = (Number of students not doing homework regularly / Total students) * 100

Percentage = (5 / 80) * 100

Percentage = 6.25%

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a) The probability of picking S and S is 1/64

b) The probability of picking D and T is 1/64

c) The probability of picking S and T is 1/64

d) The probability of picking a vowel and a consonant is 3/16.

The word STUDENTS contains 8 letters. Each time we pick a letter from the bag, we replace it back, so the total number of outcomes for the first letter and the second letter is 8.

a) To find the probability of picking S and S, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking S in the second draw (1/8), since we replace the letter after each draw:

P(S,S) = (1/8) x (1/8) = 1/64

b) To find the probability of picking D and T, we can multiply the probability of picking D in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(D,T) = (1/8) x (1/8) = 1/64

c) To find the probability of picking S and T, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(S,T) = (1/8) x (1/8) = 1/64

d) To find the probability of picking a vowel and a consonant, we need to count the number of vowels and consonants in the word STUDENTS. There are 2 vowels (U and E) and 6 consonants (S, T, D, N). The probability of picking a vowel is 2/8 = 1/4, and the probability of picking a consonant is 6/8 = 3/4.

Since we replace the letter after each draw, the probability of picking a vowel and a consonant is:

P(vowel, consonant) = (1/4) x (3/4) = 3/16

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Answer: 76 points

Step-by-step explanation:

Ley the points of each of the 7 boys be x. Therefore, the points of the 7 boys will be: = 7 × x = 7x

Since Kenny scored four more points than each of his 7 teammates. His point will be: x + 4

Therefore, 7x + x + 4 = 612

8x + 4 = 612

8x = 612 - 4

8x = 608

x = 608/8

x = 76

Each of the boys scored 76 points

Answer:

16/52

8/26

4/13

As 13 cards are one suit or are hearts, and in that suit, there is one king, I just add 3 more cards for the other king cards as well and you get 16/52

Step-by-step explanation:

Answer:

A. 100% of employees hold a master's degree.

Step-by-step explanation:

Sana nakatulong

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.

Cuboid A:

Volume of rectangular solid = length × width × height

= 3 × 3 × 3

= 27 cubic units

Cuboid B:

Volume of rectangular solid = length × width × height

= 3 × 3 × 4

= 36 cubic inches

Cuboid C:

Volume of rectangular solid = length × width × height

= 5 × 4 × 3

= 60 cubic inches

Cuboid D:

Volume of rectangular solid = length × width × height

= 4 × 4 × 4

= 64 cubic inches

Cuboid E:

Volume of rectangular solid = length × width × height

= 4 × 4 × 3

= 48 cubic inches

Right circular cylinder:

Radius, r = 2

Height, h = 4

Volume of right circular cylinder = πr²h

= 3.14 × 2² × 4

= 3.14 × 4 × 4

= 50.24 cubic units

Hence, rectangular solid E is similar to right circular cylinder.

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

\(\text{L.H.S}\\\\=\dfrac{\cos A}{1-\sin A} + \dfrac{\sin A}{1-\cos A} +1\\\\\\=\dfrac{\cos A(1-\cos A) + \sin A(1-\sin A) + (1-\sin A)(1 - \cos A)}{(1-\sin A)(1 -\cos A)}\\\\\\=\dfrac{\cos A - \cos^2 A + \sin A - \sin^2 A + 1 - \cos A - \sin A + \sin A \cos A}{(1 -\sin A)(1 - \cos A)}\\\\\\=\dfrac{-(\sin^2 A + \cos^2A) +1 + \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\dfrac{-1 + 1 + \sin A \cos A }{(1 - \sin A)((1 - \cos A)}\\\\\\=\dfrac{0+ \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\)

\(=\dfrac{\sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\text{R.H.S}\\\\\text{Proved.}\)

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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The fish has located a horizontal distance of 7 meters away from the cliff.

How to find the distance between the bird and the fish?

To find the distance between the bird and the fish, we need to find the horizontal distance traveled by the bird during the dive. We can do this by finding the x-coordinate of the vertex of the parabolic curve, which represents the highest point of the dive.

The vertex of the parabolic curve of the given function f(x) = (x-7)^2 - 1 is at the point (7, -1). This means that the highest point of the bird's dive is reached at 7 seconds, and the bird is at a height of -1 meters at this point.

To find the distance traveled by the bird during the dive, we need to find the horizontal distance between the bird's starting point (the cliff) and the highest point of the dive (the vertex). The distance is given by the horizontal coordinate of the vertex, which is 7 seconds.

Therefore, the fish has located a horizontal distance of 7 meters away from the cliff, assuming that the bird started the dive from the edge of the cliff.

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Answer:

Step-by-step explanation:

6=2(y+2)

6=2y+4

2=2y

y=1

Answer:

1

Step-by-step explanation:

1+2=3

2(3)= 2x3=6

There ya go

Answer:

A :)

Step-by-step explanation:

in the question it says "the price (y) in dollars" and before says "the weight (x) in ounces

Answer:

A

Step-by-step explanation:

I think

Answer:

5x - 3

Step-by-step explanation:

Add like terms: (4x + x) + (-6 + 3) = 5x - 3

Answer:

3x-3

Step-by-step explanation:

combine like terms, 4x-x=3x and -6+3=-3

The congruency statements that are true about the congruent triangles are: ∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR.

Congruent triangles are triangles whose corresponding parts (angles and sides) are congruent to each other.

So, if △JMN ≅ △KQR, it means the corresponding angles and sides of both triangles are congruent.

Therefore, the true congruency statements are:

∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR

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Answer:

A. 432=18x

B. 22-see explanation

C. 24

D. See if your rounded answer and the actual answer are close.

Step-by-step explanation:

A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.

B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.

C. Divide 432 by 18. We get 24.

E. You can see if it is reasonable if they are close in value.

An expression that represents the area of the gift shop, in terms of x is 720x² + 464x - 480.

An expression that represents the perimeter of the gift shop, in terms of x is 720x² + 464x - 480.

If the perimeter is going to be 176 feet, the dimensions of the building are 54 feet by 34 feet.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of rectangular gift shop = (20x + 24) × (36x - 20)

Area of rectangular gift shop = 720x² - 400x + 864x - 480

Area of rectangular gift shop = 720x² + 464x - 480

Perimeter of rectangular gift shop = 2(20x + 24 + 36x - 20)

Perimeter of rectangular gift shop = 2(56x + 4)

Perimeter of rectangular gift shop = 112x + 8

176 = 112x + 8

112x = 168

x = 1.5

Length, L = 20(1.5) + 24 = 54 feet.

Width, W = 36(1.5) - 20 = 34 feet.

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The circumference of circle A can be found by using the given information that the length of arc DE is 64 units.

To find the circumference, we need to know the relationship between the length of an arc and the circumference of a circle. The length of an arc is a fraction of the circumference, determined by the central angle that the arc subtends at the center of the circle.

In this case, we are not given the measure of the central angle subtended by arc DE, so we cannot directly calculate the circumference. However, if we assume that the central angle subtended by arc DE is 360 degrees (a complete circle), we can use proportions to find the circumference.

A complete circle has an arc length equal to the circumference of the circle, which is C. If the length of arc DE is 64 units, and we assume a central angle of 360 degrees, we can set up the following proportion:

64 units / Length of a complete circle = arc DE / Circumference of circle A

64 / 360 = arc DE / C

Simplifying the proportion, we have:

1/5 = arc DE / C

To find the circumference, we can cross-multiply:

C = (arc DE * 5) / 1

C = 64 * 5

C = 320 units

Therefore, based on the assumption that the central angle subtended by arc DE is 360 degrees, the circumference of circle A is 320 units.

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Answer:

11.25

Step-by-step explanation:

Answer:

it's 11.25 % . I thik it is helpfull right?

The midpoint of diagonal PR is: B. (5, 4).

The midpoint of diagonal QS is: D. (5, 4).

The midpoint of the diagonals: E. coincide.

This implies that the diagonals of the parallelogram PQRS G. are equal to each other.

In order to determine the midpoint of a line segment with two (2) end points, we would add each end point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment PR, we have:

Midpoint of PR = [(4 + 6)/2, (7 + 1)/2]

Midpoint of PR = [10/2, 8/2]

Midpoint of PR = [5, 4].

For line segment QS, we have:

Midpoint of QS = [(8 + 2)/2, (7 + 1)/2]

Midpoint of QS = [10/2, 8/2]

Midpoint of QS = [5, 4].

In conclusion, we can reasonably infer and logically deduce that the midpoint coincides and the diagonals of parallelogram PQRS are equal to each other.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;

A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.

When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.

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If one of the factors of 20.062 has 2 decimal places , then the other factor has 1 decimal place .

In the question ,

it is given that ,

there are two decimal numbers ,

the product of the two decimal places = 20.062

number of decimal places that one factor have = 2 decimal places

So , the other factors should have 1 decimal places .

For Example ,

if the product of two numbers  0.625 , and if one factor is 0.25 , then the other factor is 0.5 which has 1 decimal point .

Therefore , If one of the factors of 20.062 has 2 decimal places , then the other factor has 1 decimal place .

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Step-by-step explanation:

kindly see attached picture

hope it helped you:)

Answer:

\(\sf \dfrac{{x}^{a \: (b - c)} }{ {x}^{b \: (a - c)} } \: \div \: \bigg \lgroup \dfrac{ {x}^{b} }{ {x}^{a} } \bigg \rgroup^{c} \: = \: 1\)

\(\\\)

Now,

\(\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \bigg \lgroup \dfrac{ ({x}^{b} )}{( {x}^{a}) } \bigg \rgroup^{c} \: = \: 1\)

\(\\\)

\(\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \dfrac{ {x}^{bc} }{{x}^{ac} } \: = \: 1\)

\(\\\)

We know that, When sign change from division to multiplication we should do reciprocal of next number.

Therefore we get,

\(\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \times \: \dfrac{ {x}^{ac} }{{x}^{bc} } \: = \: 1\)

\(\\\)

\(\sf \dfrac{{x}^{ab \: - \: \cancel {ac }\: + \: \cancel{ac}} }{ {x}^{ba \: - \: \cancel{ b c} \: + \: \cancel{bc}} } \: = \: 1\)

\(\\\)

\(\sf \dfrac{{x} \: ^{ \cancel{ab}} }{ {x} \: ^{\cancel{ba}} } \: = \: 1\)

\(\\\)

\( \bigstar \: \: \underline{ \boxed{\sf x \: = \: 1}} \: \: \bigstar\)

\(\\\)

\( \huge\bf \dag \: \gray{RHS = LHS} \: \dag\)

\(\\\)

\(\large \star \: \tt Hence, Verified \: \star\)

Answer:

0.7

Step-by-step explanation:

Answer:

0.1179

Step-by-step explanation:

Given that :

p = 0.53

n = 6 ; x = 5

P(x = 5)

According to the binomial probability formula :

P(x = r) = nCr * p^r * (1 - p)^(n - r)

P(x = 5) = 6C5 * 0.53^5 * (1 - 0.53)^(6 - 5)

P(x = 5) = 6C5 * 0.53^5 * 0.47^1

P(x = 5) = 6 * 0.53^5 * 0.47^1

P(x = 5) = 0.117931129026

= 0.1179

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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