Choose the correct translation for the following statement it is at most ten
When x = 1 then y equals
If x = 1, then the value of y in the equation [tex]\frac{4}{x}[/tex] + [tex]\frac{3}{y}[/tex] = 5 equals
What is an Equation?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 ?
△EFG≅△JKL . What is m∠K ?
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 ?
Choose ALL that apply:
The executor of an estate does the following.
creates a will
takes an inventory of the estate's asset's
gives medical advice
gives financial advice
handles financial matters as designated in the will
You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far should you place the bar from each edge of the door?
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)
22x(4+16)-78x3 how do solve GEMDAS
Answer: 206
Step-by-step explanation:
22(4+16)-(78)(3)
(22)(20)-(78)(3)
440-(78)(3)
440-234=
206
°ω°
What is the point slope form of the line with slope 2/5 that passes through the point (−4, −7) ?
The product of two integers is 72. One number is two less than five times the other.
Which of the following equations could be used to find one of the numbers?
2x^2 - 5 = 72
2x^2 - 5x = 72
5x^2 - 2x = 72
5x^2 - 2 = 72
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]
This is the range of sample statistics obtained when many samples are selected?
Your computer monitor has a width of 14.80 inches and a height of 11.10 inches. what is the area of the monitor display in square meters?
Any polygon with two pairs of parallel opposite sides is a parallelogram. True or False.
Answer:
the answer is false.
Step-by-step explanation:
"1. how many ancestors does a node at level n in a binary tree have? provide justification."
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:
The node at the root (level 0) has 0 ancestors.A node at level 1 has the root node as its ancestor (1 ancestor).In general, a node at level n has n - 1 nodes on the path from the root to the node.Therefore, a node at level n in a binary tree has n ancestors because it includes all nodes from the root (level 0) to the node itself (excluding the node itself).Hence, the number of ancestors for a node at level n is simply n.
if f(x) =x2-6, find f-1 (x)
Determine the linear factors for x4-2x^2+1
Explain how you can use doubles when multiplying with 4 to find 4x8
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.
A boat heads south at 1,200 mph while a steamer heads east at 500 mph. If they started from the same dock and at the same time, when will the distance between them be 1,300 mi?
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.
2 out of 10 people have an allergic reaction to a new medicine. What is the probability that exactly 4 out of 10 people given the medicine experience an allergic reaction?
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%.