Answer:
The distance between L and Y is 15
What is the missing value in x2y8 · x3y? = x5y5?
Answer:
-3
Step-by-step explanation:
To find:
The value of '?' in the following expression:
[tex]x^2y^8.x^3y^? = x^5y^5[/tex]
Solution:
First of all, let us have a look at a few rules of the exponents:
[tex]1.\ a^b.a^c=a^{b+c}[/tex]
[tex]2.\ a^b.a^{-c}=a^{b-c}[/tex]
Let us apply these rules and try to find out the missing value ('?') in the given expression.
Left Hand Side (LHS):
[tex]x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}[/tex]
Now, let us compare the LHS with RHS, we get:
[tex]x^{5}y^{8+?} = x^{5}y^{5}[/tex]
Dividing with [tex]x^5[/tex] on both sides:
[tex]y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3[/tex]
Therefore, the missing value in the expression is -3.
Answer:
-3
Rules of the exponents power:
1. a^b * a^c = a^(b+c)
2. a^b * a^(-c) = a^(b-c)
Applying these rules on Left Hand Side of the expression given:
= x2y8 * x3y?
= x2x3 * y8y?
= x^(2 + 3) * y^(8 + ?)
Right hand side of the expression given:
= x5y5
Comparing the LHS and RHS, we get
x5y^(8 + ?) = x5y5
Dividing with x5 on both sides:
y^(8 + ?) = y5
8 + ? = 5
? = 5 - 8
? = -3
Therefore, the missing value in the expression is -3.
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Solve the following and round to the nearest thousandth.
0.25 (7.5)
How to calculate percentage?
u hav egiven someone discount o f5% total is 580. 580×5÷100=29
580-29=551
[tex]x2 = \frac{9}{256} [/tex]
I don't understand this at all
It is an equation, telling you that left side of = is same as right side and asking you to solve it (figure out the x).
[tex]x^2=\frac{9}{256}[/tex]
Apply square root on both sides of the equation to get rid of power on x.
[tex]x=\pm\sqrt{\frac{9}{256}}[/tex]
Now simplity the square root.
[tex]x=\pm\frac{\sqrt{9}}{\sqrt{256}}=\boxed{\pm\frac{9}{16}}[/tex]
Hope this helps.
The solutions of the equation x2 – 2 = x are ?
Answer: x= 2, -1
Step-by-step explanation:
A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answer:
The taller building is the second building which is the apartment building on the left with an height of 58.4m
Step-by-step explanation:
This is a Trigonometric question. We solve this using the Tangent formula
tan θ = Opposite side/Adjacent side
We are given 2 buildings
Building 1
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 40°
Distance from the base of the building = Adjacent = 56m
Height of the building = Opposite side = unknown
tan 40 = 0pposite/56m
Opposite = tan 40 × 56m
Opposite = 46.989579346m
Approximately = 47m
Height of Building 1 = 47m
Building 2
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 50°
Distance from the base of the building = Adjacent = 49m
Height of the building = Opposite side = unknown
tan 50 = 0pposite/49m
Opposite = tan 50 × 49m
Opposite = 58.395926037m
Approximately = 58.4m
Height of Building 2 = 58.4m
The taller building is the second building which is the apartment building on the left with an height of 58.4m
What is 10a - 5b if a = 25 and b = 3
Answer:
[tex]\boxed{235}[/tex]
Step-by-step explanation:
Hey there!
Well given that,
a = 25
b = 3
10(25) - 5(3)
250 - 15
= 235
Hope this helps :)
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: 235.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression:
10a - 5b = 10(25) - 5(3).
Now we Multiply 10 and 25 to get 250.
250 − 5 × 3 = 235
Multiply 5 and 3 to get 15.
250 − 15 = 235
Subtract 15 from 250 to get, you guessed it, 235!Who knows the answer!?
Quickly.
Answer:
x = 95
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
x +115+46+ 104 = 360
Combine like terms
x+265=360
Subtract 265 from each side
x +265-265 = 360-265
x = 95
Which of the following lists is ordered from least to greatest? −1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0, ,
Answer: letter B. -2,-1.5,0
Step-by-step explanation: hope it helps
The order from least to greatest are;
⇒ -2, -2, -2, -2, -1.5, -1.5, -1.5, 0, 0, 0, 0, |-1.5|
Here,
The list of ordered pair are;
−1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0, ,
We have to arrange it from least to greatest.
What is Modulus function?
The modulus function give the absolute value of a number irrespective of the number being positive or negative.
Now,
The list of ordered pair are;
−1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0.
Since, |-1.5| = 1.5
And, -2 < -1.5
So, The order from least to greatest are;
⇒ -2, -2, -2, -2, -1.5, -1.5, -1.5, 0, 0, 0, 0, |-1.5|
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Question is below PLEASE HURRY I'M DESPERATE
Answer:
a) 15.5 cm
b) 37.2 cm
Step-by-step explanation:
For part a you would write 4(x+1) because perimeter is adding the sides and all sides of a square are equal. then you would set that equal to 66 and get 4(x+1)=66 and then distribute the 4 and get 4x+4=66 and then subtract the 4 from 66 and get 4x=62. Then you divide 62 by 4 and get 15.5.
For part b you do essentially the same thing but set it equal to 152.8 and get 4(x+1)=152.8 and then distribute the 4 to get 4x+4=152.8 then subtract the 4 and get 148.8 and then divide that by 4 and get 37.2.
Answer:
Step-by-step explanation:
a) Length = (x +1) cm
Perimeter of square = 66 cm
4 * length = 66
4* (x +1) = 66
Divide both sides by 4
[tex]\frac{4*(x +1)}{4}=\frac{66}{4}[/tex]
x + 1 = 16.5
Subtract 1 from both sides,
x = 16.5 -1
x = 15.5 cm
b) Length = (x +1) cm
Perimeter of square = 152.8 cm
4 * length = 152.8
4* (x +1) = 152.8
Divide both sides by 4
[tex]\frac{4*(x +1)}{4}=\frac{152.8}{4}[/tex]
x + 1 = 38.2
Subtract 1 from both sides,
x = 38.2 -1
x = 37.2 cm
will give brainliest if you answer and show explanation.
Answer:
15/19 is a rational number. this is because irrational numbers cannot be represented by fractions
The product of two irrational numbers is
rational.
I’m not very good at these so someone help me out :,)
Answer:
-4,-1
i have to put 20 character so here is 20 characters
Answer:
( -4, 1 )
Step-by-step explanation:
( 4, 1 ) starts in quadrant 1. ( +, + )
When reflected over the y-axis it moves to quadrant 2. ( -, + )
The value of (9.93).0.984
Answer:
9.77112
Step-by-step explanation:
Given
[tex](9.93).0.984[/tex]
Required
Evaluate
To get the value of the expression, we simply multiply both together as follows; 9.93 * 0.984
First, take note of the decimal places
9.93 = 2 decimal places
0.984 = 3 decimal places
Remove the decimals and multiply the numbers as follows
9 9 3
9 8 4
----------------------
3 9 7 2
7 9 4 4
8 9 3 7
-----------------------------------
9 7 7 1 1 2
Add the decimal places
2 decimal place + 3 decimal places = 5 decimal places
Hence, the result is 9.77112 (5 decimal places)
What is the greatest common factor of 18 and 35
The greatest common factor of 18 and 35 is 1.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The greatest common factor of 18 and 35.
Now,
See all the factors of 18.
= 1, 2, 3, 6, 9, and 18.
See all the factors of 35.
= 1, 5, 7, and 35.
We see that,
The greatest common factor is 1.
Thus,
The greatest common factor of 18 and 35 is 1.
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How far is a chord of length 8 cm from the centre of a circle of radius 5 cm
OB = 3 cm
Step-by-step explanation:AO = radius = 5 cm
AB = 8cm/2 = 4 cm
Pythagora
OB² = AO² - AB²
= (5cm)² - (4cm)²
= 25cm² - 16cm²
= 9 cm²
OB = √9cm²
= 3 cm
raise the quotient of 7 and g to the 4th power
Answer:
(7÷g)[tex]^{4}[/tex]
Step-by-step explanation:
The quotient is the answer to a division problem. So the quotient of 7 and g means to divide 7 and g. Then raise that to the 4th power.
For a parade, attendance was rounded as 10,000 to the nearest hundred. What was the
greatest and least number of people that could have attended the parade? Explain your
answer.
Answer:
The least is 9950 and the largest is 10049 people
Step-by-step explanation:
If the number is rounded to the nearest hundred, the smallest number of people that could have attended the parade is 9950 because, rounding up the number 9950 to the nearest hundred would give 10000. If the number 9950 is decreased by 1 (9949), and rounded up to nearest hundred you won't get 10000. Hence the smallest number of people is 9950
While the largest number of people is 10049. 10049 to the nearest hundred is 10000. A further increase to the number 10049 would give a number greater than 10000 when rounded to nearest hundred.
4+7x=7(x+1)
Find each solutions please help
Answer:
no solution
Step-by-step explanation:
Given
4 + 7x = 7(x + 1) ← distribute
4 + 7x = 7x + 7 ( subtract 4 from both sides )
7x = 7x + 3 ( subtract 7x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.
PT is given as 5x + 2,
TQ = 7x - 6
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Solve for x
[tex] 5x + 2 - 7x = 7x - 6 - 7x [/tex]
[tex] -2x + 2 = -6 [/tex]
[tex] -2x + 2 - 2 = -6 - 2 [/tex]
[tex] -2x = -8 [/tex]
[tex] \frac{-2x}{-2} = \frac{-8}{-2} [/tex]
[tex] x = 4 [/tex]
PT = [tex] 5x + 2 [/tex]
Input the value of x
[tex] PT = 5(4) + 2 = 20 + 2 = 22 [/tex]
Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What percentage of the SAT Math scores are less than one standard deviation above the mean?
Answer:
Step-by-step explanation:
mean µ = 500
standard deviation σ = 100
Required P ( X < µ + σ )
= P ( X < 500 + 100 )
= P ( X < 600 )
= P [Z < (X - µ) / σ ]
= P [Z < (600 - 500) / 100 ]
= P [Z < + 1 ]
= .8413
In terms of percent the probability is 84.13 % .
What is the domain of (g/f)
Answer:
The denominator of [tex] \frac{g}{h} [/tex] is h and Numerator is g.
Question 1
What are the angles in a 30 - 60 - 90° triangle after it is rotated 45°?
45°-45°-90°
30°-60-90
075-105°-135
None of the above
Answer:
30-60-90
Step-by-step explanation:
It is still the same no matter how it is rotated or translated.
Answer:
Step-by-step explanation:
In the diagram BC=9. Find ABOUT and AC
Which scenario best matches the graph below?
Answer:
C
Step-by-step explanation:
I might be wrong but the best option I see would be C
a + b =16
solve for A
Which functions are the same as their inverse functions
Answer:
what functions?
Step-by-step explanation:
Students are playing a game similar to blackjack (with a standard 52 card deck)- trying to get as close to 21 points without going over. The ace is only worth 1 point and each face card is worth 10 points, the remaining cards have face value. Player A draws a eight and a nine. Player B draws a four and a jack. If Player A next draws a two, what is the probability of Player B winning the round?
If a dog moves 3 meters due East and then 4 meters due North, what will be the dispalcement of the dog?
Answer:
The displacement of the dog which is the shortest distance between the two points is 5 meters 53.13° North of East
Step-by-step explanation:
The given parameters are;
The dog's displacement due East = 3 meters
The dog's displacement due North = 4 meters
The displacement, D motion of the dog can be written in vector form as follows;
D = 3i + 4j
The magnitude of the displacement is given as follows;
[tex]\left | D\right | = \sqrt{(3 \ meters)^2 + (4 \ meters)^2} = \sqrt{25 \ meters^2} =5 \ meters[/tex]
The displacement is the shortest distance between two points
The direction is given tan⁻¹(4/3) = 53.13° North of East
The displacement of the dog which is the shortest distance between the two points = 5 meters 53.13° North of East.
the clockwise distance between North east and south west is
Answer:
180 degrees
Step-by-step explanation:
A small jar of salsa contains 12 1/2 cup of salsa. A large jar of salsa contains 75 ounces. How many small jars of salsa is equal to one large jar of salsa?
Answer:
6
Step-by-step explanation:
75 divided by 12.5 equals 6 cups of salsa