Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answer: 206

Step-by-step explanation:

22(4+16)-(78)(3)

(22)(20)-(78)(3)

440-(78)(3)

440-234=

206

°ω°

In binary tree there are n ancestor at level n.

Proof :

Take P(0): At node level 0, it has no ancestors since this is a roo tnode.

Take P(1): At node level 1, it has one ancestor. The ancestor is the root, its parents which is at level 0.

Take P(K): A node level K it has K ancestors. Its parent is at level K – 1.

Take P(K+1): At node K + 1 level have more than one ancestor than that of node at k level.

Thus there are n ancestor at level n in binary tree.

A node at level n in a binary tree has n ancestors. This is because there are n nodes on the path from the root to the node itself.


In a binary tree, the ancestors of a node are all the nodes that appear on the path from the root of the tree to that node. The level of a node is defined as its distance from the root node, with the root node being at level 0.

To determine the number of ancestors of a node at level n, consider the following:

Hence, the number of ancestors for a node at level n is simply n.

If x = 1, then the value of y in the equation [tex]\frac{4}{x}[/tex] + [tex]\frac{3}{y}[/tex] = 5 equals

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

4 / x + 3 / y = 5

We have to find the value of y, when the value of x = 1.

Substitute x = 1 in the equation.

4/1 + 3/y = 5

4 + 3/y = 5

3/y = 5 - 4

3/y = 1

y = 3/1

y = 3

Hence the value of y is 3.

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The question is incomplete. The complete question is as follows.

If x = 1, then the value of y in the equation [tex]\frac{4}{x}[/tex] + [tex]\frac{3}{y}[/tex] = 5 equals ?

The simplest form of 8/10 is 4/5.

Given,

8/10

We need to write it in the simplest form.

It means that there is no common factor between the numerator and the denominator other than 1.

Example:

4/8

4 = Numerator

8 = Denominator

4 = 4 x 1

8 = 4 x 2

= 4 x 1 / 4 x 2

Cancel the common factor 4.

= 1/2 is the simplest form of 4/8

Find the simplest form of 8/10.

= 8/10

Look for a common factor.

= 2 x 4 / 2 x 5

Cancel the common factor 2.

= 4 / 5

Now we do not see any common factor.

= 4/5

Thus the simplest form of 8/10 is 4/5.

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Answer:

18.14 rounds to 18 because you look at the 1 and (0, 1, 2, 3, 4) tell you to round down.  That means 18.14 rounds down to 18

9.88 rounds to 10 because you look at the first 8 and (5, 6, 7, 8, 9) tell you to round up.  That means 9.88 rounds up to 10.

Now it's just simple math.  18-10 = 8

Step-by-step explanation:

Answer:

18.14 rounds to 18 because you look at the 1 and (0, 1, 2, 3, 4) tell you to round down.  That means 18.14 rounds down to 18

9.88 rounds to 10 because you look at the first 8 and (5, 6, 7, 8, 9) tell you to round up.  That means 9.88 rounds up to 10.

18-10=8.

Answer:

The correct option is 2.

Step-by-step explanation:

The equations that are true for any value of the variable, no matter what value is plugged in for the variable, then they are called Identity equations.

The first equation is

[tex]7m-5=8m+7-m[/tex]

[tex]7m-5=7m+7[/tex]

Subtract 7m from both the sides.

[tex]-5=7[/tex]

This statement is false for any value of m. Therefore this is not an Identity equation.

The second equation is

[tex]3w+8-w=4w-2(w-4)[/tex]

Using distributive property,

[tex]2w+8=4w-2w+8[/tex]

[tex]2w+8=2w+8[/tex]

[tex]0=0[/tex]

This statement is true for any value of w. Therefore this is an Identity equation.

The third equation is

[tex]9-(2v+3)=-2v-6[/tex]

[tex]9-2v-3=-2v-6[/tex]

[tex]-2v+6=-2v-6[/tex]

[tex]6=-6[/tex]

This statement is false for any value of v. Therefore this is not an Identity equation.

The fourth equation is

[tex]-3y+3=-3y-6[/tex]

Add 3y on both the sides.

[tex]3=-6[/tex]

This statement is false for any value of y. Therefore this is not an Identity equation.

Hence the correct option is 2.

This is called as the standard error of the mean. Standard error is a numerical term that calculates the accurateness with which a sampling embodies a populace or population. In statistics, a sample mean moves away from the real mean of a population; this deviancy is the standard error.

Answer:

Here,

4 × 8 = 32

Now,

using the doubles when multiplying with 4

2 × (4 × 4)

= 2 × 16

= 32

Hence,

we use the doubles this way as by doubling the result obtained on multiplying the 4 with 4

Step-by-step explanation:

Here,

4 × 8 = 32

Now,

using the doubles when multiplying with 4

2 × (4 × 4)

= 2 × 16

= 32

Hence,

we use the doubles this way as by doubling the result obtained on multiplying the 4 with 4

or

double the number 4 i.e 2 × 4 = 8

then again double the result i.e  2 × 8 = 16

and, again double the result i.e 2 × 16 = 32 which the required answer.

The solution for the problem is:

Tan 33(degrees) = opposite/adjacent 

Starting off with the submarine, find how far it is from point R. 

Tan 21 = 19,000/x 

or 

19,000/Tan 21= x 

x = 49496.69 feet the submarine is from point R. 

Now, find how far the tanker is from point R. 

Tan 33= 19,000/x 

or 

19,000/Tan 33 = x 

x = 29257.43 feet the tanker is from point R. 

Now subtract and the difference would be the answer

= 49496.69 - 29257.43

The tanker and sub are 20239.26  feet away from each other. 

The dimension of the rectangle should be 47cm and 26 cm respectively.

Given that,

Based on the above information,

We know that

The perimeter of the rectangle = 2(l + w)

w = width

(2w - 5) = length

So,

146 = 2(2w - 5 + w)

146  = 4w - 10 + 2w

156 = 6w

w = 26 cm

And, the length is

= 2(26) - 5

= 47 cm

Therefore we can conclude that the dimension of the rectangle should be 47cm and 26 cm respectively.

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The weight of the bar of soap can be found by setting up the equation [tex]w = \(\frac{3}{4}w + \frac{3}{4}\)[/tex] and solving for 'w', which results in the soap weighing 3 pounds.

To find the weight of the bar of soap, we can set up an equation based on the given information. Let's define the weight of the soap as 'w'. According to the problem, the weight of the soap is equal to [tex]\frac{3}{4}[/tex] of itself plus [tex]\frac{3}{4}[/tex] of a pound, which can be written as:

[tex]w = \(\frac{3}{4}w + \frac{3}{4}\)[/tex]

Now, to solve for 'w', we need to isolate it on one side of the equation. We can do this by subtracting [tex]\(\frac{3}{4}w\)[/tex] from both sides:

[tex]w - \(\frac{3}{4}w\) = \(\frac{3}{4}\)[/tex]

This simplifies to [tex]\(\frac{1}{4}w\) = \(\frac{3}{4}\)[/tex], so when we multiply both sides by 4 to solve for 'w', we get:

w = 3 pounds

Therefore, the bar of soap weighs 3 pounds.

Answer:

First, keep good records to avoid overdraft fees. Second, be sure to check banks out carefully. Look at the services you will most likely need and see whether the bank charges fees for those services. Compare several different banks before opening an account in one of them.

Step-by-step explanation:

Plato answer

Answer: After t=1 hour the distance between the boat and the steamer be 1300 mi.

Step-by-step explanation:

Given the speed of boat = 1200 mph

the speed of steamer =500 mph

Distance traveled by boat in time "t"=[tex]\frac{distance}{time}=\frac{1200}{t}[/tex]

Distance traveled by steamer in time time "t"=[tex]\frac{500}{t}[/tex]

As boat head south and steamer heads east ∴ they will make a right angle triangle with hypotenuse=shortest distance between them =1300mi(given)

By Pythagoras theorem

[tex](Perpendicular)^2+(Base)^2=(Hypotenuse)^2\\\\\Rightarrow(\frac{1200}{t})^2+(\frac{500}{t})^2=(1300)^2\\\\\Rightarrow\frac{1440000}{t^2}+\frac{250000}{t^2}=1690000\\\\\Rightarrow\frac{1690000}{t^2}=1690000\\\\\Rightarrow\ t^2=\frac{1690000}{1690000}=1[/tex]

⇒t=1 hour

Thus, after t= 1 hour the distance between them be 1300 mi.

One radian is approximately 0.0175 degrees. To convert from radians to degrees, multiply the radians value by 57.3°. This conversion is commonly used in mathematics and physics.

One radian is equal to approximately 0.0175 degrees. To convert from radians to degrees, you can use the conversion factor of 1 radian = 57.3°. So, to convert an angle from degrees to radians, you can multiply the degrees value by 0.0175. This conversion can be used when working with angular measurements in mathematics and physics.

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Answer:

The maximum percentage of net Spendable income that should be set aside for housing is given by  [tex]\frac{28}{36}[/tex] rule,which states that ,if your total gross income after deduction is $ x, then you should use 28% of your income for housing finances and 36 % of your income for debt Purpose.

So, Maximum percentage of net spendable income that should be set aside for housing=28% of total gross income

Answer:

You should place it 23 1/24 centimeters from each edge.

Step-by-step explanation:

The towel bar will be in the center in the door so the space between the edge of the door and each side of the bar is equal in the left and the right of the door. So lets define:

x: distance between edge of door and the towel bar edge.

We see that x is the distance left in both sides of the towel bar from the door so:

x+24 (1/4) +x = 70 (1/3)

2x + 24 (1/4)  =  70 (1/3)

2x=   70 (1/3) -  24 (1/4)

To operate the fractions , we need a common denominator that can be obtained simply by multiplying both denominators 4* 3=12

We then subtract the whole numbers and fractions

2x=   70 (4/12) -  24 (3/12) =  =( 46 1/12)

x= ( 46 1/12) / 2 = 23 (1/24)

The probability that exactly 4 out of 10 people given the medicine experience an allergic reaction is approximately 0.087 or 8.7%.

To find the probability that exactly 4 out of 10 people experience an allergic reaction to the new medicine, we use the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1 - p)^{n - k} \][/tex]

Where:

( n ) is the number of trials (in this case, 10 people)

( k ) is the number of successes (in this case, 4 people)

( p ) is the probability of success on each trial (in this case, the probability of having an allergic reaction, which is 2 out of 10, or 0.2)

Now let's calculate:

[tex]\[ P(X = 4) = \binom{10}{4} \times 0.2^4 \times (1 - 0.2)^{10 - 4} \][/tex]

[tex]\[ P(X = 4) = \frac{10!}{4!(10-4)!} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = \frac{10!}{4! \times 6!} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = \frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = 210 \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = 210 \times 0.0016 \times 0.262144 \][/tex]

[tex]\[ P(X = 4) = 0.08704 \][/tex]

So, the probability that exactly 4 out of 10 people given the medicine experience an allergic reaction is approximately 0.087 or 8.7%.

The two triangles are congruent, so the corresponding angles are the same, K is the mid-late phase of JKL, so K is the same as the mid-late phase of EFG. Therefore K = F = 62°.

What is compromise?

If a geometric shape can be placed on top of another so that all its points coincide, the geometry is said to be congruent or harmonious. >

Now that K is JKL, K will be similar to EFG's mid and late game.

Middle and late phase of EFG = F

M∠F = 62°

Therefore m∠K = m∠F = 62°

So "The two triangles are congruent, so the corresponding angles will be the same. K is at the end of JKL, so K will be the same as the end of EFG. So, K = F = 62°."

The probable question maybe:

In a triangle EFG and LJK, we are given angle G = 53 degree and angle F is 62 degree. △EFG≅△JKL. find the value of  m∠K ?

Answer:

[tex]5x^{2}-2x=72[/tex]

Step-by-step explanation:

Let

y------> one integer number

x----> the other integer number

we know that

[tex]xy=72[/tex] ----> equation A

[tex]y=5x-2[/tex] -----> equation B

substitute equation B in equation A

[tex]x(5x-2)=72[/tex]

[tex]5x^{2}-2x=72[/tex]

Correct answers to the statement that the price increased by 1/2 are: (B) The price is 150% of the price before and (E) The price is now 1.5 of what it was before. All other options either imply the price doubled, decreased, or was halved, which are not equivalent to an increase by half.

When it is stated that the price increased by 1/2, it means that the new price is the original price plus half of the original price. This is equivalent to multiplying the original price by 1.5. Let's evaluate the provided options:

Therefore, the correct answers to the statement "price increased by 1/2" are (B) The price is 150% of the price before and (E) The price is now 1.5 of what it was before.

The equivalent statements are (B) "The price is 150% of the price before" and (E) "The price is now 1.5 of what it was before".

To determine which statements are equivalent to the statement "price increased by 1/2", let's analyze each option:

(A) The price doubled:

This statement is not equivalent because doubling the price means multiplying it by 2, which is an increase of 100%.

(B) The price is 150% of the price before:

This statement is equivalent. Increasing by 1/2 is equivalent to increasing by 50%, which makes the new price 150% of the original price.

(C) The price was reduced by a quarter:

This statement is not equivalent because reducing by a quarter means subtracting 25%, not adding 50%.

(D) The price became a half of what it was before:

This statement is not equivalent because it implies a decrease to half, whereas the original statement implies an increase by half.

(E) The price is now 1.5 of what it was before:

This statement is equivalent. If the price is increased by 1/2, it becomes 1 + 1/2 = 1.5 times the original price.

(F) The price now is 66 2/3 % of what it was before:

This statement is not equivalent. 66 2/3 % represents a decrease, not an increase.

(G) The price now is 200% of what it was before:

This statement is not equivalent because 200% represents a doubling, not an increase of 1/2.

(H) The price is 75% of what it was before:

This statement is not equivalent because 75% represents a decrease, not an increase.

So, the equivalent statements are (B) and (E).