The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.2063.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation: 4³x=77.2
We are given that 4³x = 77.2 —- 1
We know that 4³ = 64
Using in equation 1, we have,
64x = 77.2
x = 77.2 / 64
= 1.20625
Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 1.2063.
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Question #10 Rachel wants to use the Distributive Property to rewrite 72+ 45. Which expression could she use?
pls help me thanks u
Answer: for number 1 it is 9 number 2 is 24 number 3 is 4 and number 4 is 31
Step-by-step explanation: hope this is it
0 Expand 3(2x - 3y - 2)
The expanded form of 3(2x -3y -2) is given by the equation 6x -9y -6
The equation given is a linear equation in two variables and to simplify the equation 3(2x -3y -2), we need to use algebraic properties
The algebraic property used here is distributive property which says that a (b+ c) = ab + ac.
So, let us expand the equation using the algebraic property mentioned above
As a= 3, b=2x and c=3y+2
3(2x -3y -2)
3 (2x) -3(3y+2)
Using the property again with a=3, b=3y and c=2
3 (2x) -3(3y+2)
6x -3(3y) -3(2)
6x - 9y -6
Hence, the expanded form of 3(2x -3y -2) is given by the equation 6x -9y -6
What are the 4 algebraic property?
There are four primary houses of numbers: commutative, associative, distributive, and identification. You ought to be acquainted with every of these. it's miles specifically important to understand these houses when you attain advanced math together with algebra and calculus.
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Write the value of the terms, given the
explicit formula:
1
f(n) = 18+ (n − 1)
2
a1
a 10
a 25
=
=
a 100
answer is 36
Step-by-step explanation:
good right?
The product of a number m and 1.7 is 6.63. What is the value of m? Drag and drop the correct number into the box so that the equation is true.
When the product of a number m and 1.7 is 6.63 the required value of m is 3.9
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
The product of a number m and 1.7 is 6.63
Thus, converting it into numerical form we get,
1.7m = 6.63
Dividing both the side by 1.7 we get,
1.7m/1.7 = 6.63/1.7
Solving we get,
m = 3.9
this is the required value of m.
Thus, when the product of a number m and 1.7 is 6.63 the required value of m is 3.9
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A pet store conducted a survey to gather information about the types of pets people own. Here are the results. 451 of the people own at least one of these three types of dets (cat, dog, fish) 32 of the people own a cat, but own neither a dog nor a fish 48 of the people own a dog, but own neither a cat nor a fish. 119 of the people own both a cat and a dog, but don't own a fish. 57 of the people own a fish, but own neither a cat nor a dog. 63 of the people own both a cat and a fish, but don't own a dog . 315 of the people own a cat. 603 people were surveyed in all
Answer:
1200
Step-by-step explanation:
how do i graph f(x)= -4|x-1|-3
Find the inverse of each function. Is the inverse a function?
y=(1-2 x)²+5
The inverse function returns the original value for which the output of a function was given.
[tex]y^{-1}[/tex] = -1 ± √(x - 5) /2 be the inverse the function y = (1 - 2x)² + 5.
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value. The inverse of f is then g(y) = (y - 5)/2 = x.
An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.
Let the equation be y = (1 - 2x)² + 5
simplifying the above equation, we get
√(x - 5) y = (1 - 2x)² + 5
x = (1 - 2y)² + 5
The function of x be x = (1 - 2y)² + 5
x - 5 = (1 - 2x)²
± √(x - 5) = (1 - 2y)
± √(x - 5) - 1 = 2y
Divide both sides of the equation by 2, we get
[± √(x - 5) - 1]/2 = 2y/2
[± √(x - 5) -1] /2 = y
[tex]y^{-1}[/tex] = -1 ± √(x - 5) /2
Therefore, the inverse of the function be [tex]y^{-1}[/tex] = -1 ± √(x - 5) /2.
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Evaluate each logarithm.
log₄₉7
The answer to the given logarithm expression is log₄₉7 = 1/2
Another technique to clarify exponents in mathematics is through logarithms. A base number's logarithm equals another number.
For instance, log10 100 = 2 if 102 = 100. A logarithm is defined as an influence by which variety must be raised to receive another value. this is often the foremost convenient thanks to represent large numbers. Logarithms have several important properties that prove that logarithmic multiplication and division is written because the logarithm of addition and subtraction. The log is named the logarithm of base e. The logarithm is represented by ln or loge. where 'e' represents Euler's constant, approximately capable 2.71828. as an example, the log of 76 is written as ln 76. The log defines what percentage times 'e' must be multiplied to induce the required output.
We need to evaluate log₄₉7
Using Property
logₙ (a) = 1 / logₐ (n)
log₄₉7 = 1/ log₇ 49
Using the properties of log again logₐ (mⁿ) = n logₐ m
49 = 7²log₇ 49
can be written as
log₇ 49 = 2 log₇ 7
We know that logₐ a = 12 log₇ 7= 2
Value of log₄₉7 = 1/ log₇ 49= 1/ 2 log₇ 7= 1/2
Hence, we evaluated the logarithm which is log₄₉7 = 1/2
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Juan’s game board is a square with sides that are 50 cm long. the area of the large circle is about 1,963.5 square cm. what is the geometric probability that juan will score more than 0 points? 0 0.215 0.785 1
The geometric probability that Juan will score more than 0 points = 0.785
Juan's game board consists of a square with a circle inscribed in it.
If he hits the circle, then he can score more than 0 points.
Length of side of the square = 50 cm
So area of the square = 50 x 50 = 2500 square cm.
Now the area of the large circle = 1963.5 square cm.
Geometric probability that Juan will score more than 0 points
= Area of the circle / Area of the square
= 1963.5/2500
= 0.785
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Answer:
Step-by-step explanation:
the answer would be B) 0.215
Answer the 2 questions in photo [ Brainliest + easy points ]
Answer:
Ray UVRay RSI named them in alphabetical order, ordering letters from bottom to top e.g a ray has A at the bottom and B at the top. That would be ray AB.
23. Monthly sales for your car wash for the first year were as shown.
Jul. $2,975
Aug. $3,025
Sep. $3,130
Jan. $2,750
Feb. $2,820
Mar. $2,875
Apr. $2,890
May $2,920
Jun. $2,960
Oct. $3,350
Nov. $3,400
Dec. $3,550
Calculate total sales and average monthly sales. Find the profit or
loss for the year, assuming that total expenses were $21,250. Find
the average monthly growth rate. If sales continue to grow at this
rate, what will sales be for each month next year?
Answer:
I don't know this answer
Solve each equation.
2 log x+log 4=2
The value of x for 2 log x + log 4=2 is 5.
Logarithmic function by what method?The exponential equation x = ay is defined as being identical to the logarithmic function y = logax. Only when x = ay, a > 0, and a 1 does y equal logax. It is known as the base-a logarithmic function. Think about what the exponential function's inverse means: x = ay.
Given,
2 log x + log 4=2
log x² + log 4 = 2
log(4x²) = 2
4x² = 10²
2x = 10
x = 5
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What is the product of
-4 and 5?
Answer:
1
Step-by-step explanation:
you have -4 and it is a negative number so you take it away from 5 and you get 1
An expression is shown.
8.6+(-7.9)
What is the value of the expression?
Answer:
0.7
Step-by-step explanation:
add like you would normally
There are 18 animals on the Harry's Farm. Some are 2 legged some are 4 legged. If 60 legs are touching the ground, how many of each animal are there
Answer: 10 (2 legged) and 8 (4 legged)
Step-by-step explanation:
Answer:12 4 legged and 6 2 legged animals
Step-by-step explanation:
quick mafs
3 The table shows the number of concert tickets sold by
five students. Is the relationship a function? Explain.
Student (input)
Tickets (output)
1
2
3
4 5
12 18 12 22 16
The relationship is not functional
In the table, students 1 and 3 are having the same output. Therefore, a table cannot be a function if there are two inputs that have the same output.
Thus, the relationship between the students and the tickets sold is not a function A function is a relation in which one input can have only one output.
Let the students be = x
Let the number of tickets sold by the student be = y
Thus, from the table, it can be inferred -
Student 1 and student 3 are having the same number of outputs meaning that the number of tickets sold by student 1 and student 3 is the same.
Thus,
There is no function between the students and the number of tickets sold.
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Using the fact that social security is 6.2% and Mari are is 1.45% of gross pay explain why the given pay is not correct
Answer:
641.86 awnser
Step-by-step explanation:
Multiply and simplify. 5 ∛9y² . ∛24 y
We get that when the expression 5 ∛ 9 y² . ∛ 24 y is simplified using multiplication, we get the result as 30 y.
We are given the expression:
5 ∛ 9 y² . ∛ 24 y
We need to multiply to simplify the expression.
First, we know that:
9 = 3 × 3
24 = 2 × 2 × 2 × 3
So,
∛ 24 = 2 ∛ 3
So, we get the expression as:
5 ∛ 9 y² . 2 ∛ 3 y
Multiply the terms, we get that:
10 ∛ 27 y³
= 30 y
Therefore, we get that when the expression 5 ∛ 9 y² . ∛ 24 y is simplified using multiplication, we get the result as 30 y.
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Choose the correct simplification of
Answer:
Pretty sure it is x^10 z^7
Explain how you can tell if a function y=a/x is a stretch or compression of the parent function y=1/x
It totally depends on the value of a , that it will stretch or compress.
WHAT IS STRETCH OR COMPRESSION OF THE PARENT FUNCTION?A function change that makes a graph bigger or narrower is called a stretch or compression. To stretch a graph is to enlarge or reduce its size. Transformations are used to change the graph of a parent function into the graph of a more complex function.
CALCULATION1. Determine a's value.
2. Multiply each value in the range by a.
3. The graph is distorted by an amount equal to aa if a>1.
4.The graph is compressed by a factor of aa if 0<a<1.
5.If a<0, the graph is distorted around the x-axis and either stretched or compressed.
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Helpppppoo. Polygon ABCD slides four units left and three units up on the coordinate plane if the original measure of angle 75° what is the measure of angle A???
The measure of angle A is 75 degree.
What is Polygon?
Polygon is a two-dimensional geometric figure that has a finite number of sides.
Now, Translations do not change the same number because the translation is stationary. Because stationary means that it is steady and does not move anywhere.
Hence, The measure of angle A is 75 degree.
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4. Three girls buy a total of 135 stamps. Margo
buys about 50 stamps, Shelly buys about 60
stamps, and Sue buys about 30 stamps. What is a
possible exact number of stamps that each girl
bought?
Given f(x) = 2x − 5 and g(x) = 3x² + 5, and h(x) = 3x + 2, find:
1. (f)(4)
5. (f+h)(2)
2. (g)(-1)
3. (h)(4)
6. (f - g)(-3)
7. (g + h)(-2)
4. (f + g)(-2)
Answer:
see explanation
Step-by-step explanation:
1
f(4) means what is the value of f(x) when x = 4
substitute x = 4 into f(x)
f(4) = 2(4) - 5 = 8 - 5= 3
-----------------------------------
2
substitute x = - 1 into g(x)
g(- 1) = 3(- 1)² + 5 = 3(1) + 5 = 3 + 5 = 8
--------------------------------------
3
substitute x = 4 into h(x)
h(4) = 3(4) + 2 = 12 + 2 = 14
--------------------------------------
4
(f + g)(- 2)
= f(- 2) + g(- 2)
= 2(- 2) - 5 + 3(- 2)² + 5
= - 4 - 5 + 3(4) + 5
= - 9 + 12 + 5
= - 9 + 17
= 8
-----------------------------------------
5
(f + h)(2)
= f(2) + h(2)
= 2(2) - 5 + 3(2) + 2
= 4 - 5 + 6 + 2
= - 1 + 8
= 7
-------------------------------------------------
6
(f - g)(- 3)
= f(- 3) - g(- 3)
= 2(- 3) - 5 - (3(- 3)² + 5)
= - 6 - 5 - ( 3(9) + 5)
= - 11 - ( 27 + 5)
= - 11 - ( 32)
= - 11 - 32
= - 43
------------------------------------------------
7
(g + h)(- 2)
= g(- 2) + h(- 2)
= 3(- 2)² + 5 + 3(- 2) + 2
= 3(4) + 5 - 6 + 2
= 12 + 5 - 4
= 17 - 4
= 13
on the first birthday, we light one candle; on the second birthday 2 candles; and on the 120th birthday 120 candles. how many candles do we light total in all 120 birthdays? use the proper summation formula we learned in class.
Candles we light total in all 120 birthdays is 7260.
Arithmetic Progression is defined as the sequence of numbers where the difference is constant .
According to the given question
No of candle on 1st birthday = 1
no of candle on 2nd birthday =2
.
.
No of candle on 120th birthday= 120
The given situation can be represented in the form of sequence .
1,2,3,4,5,...,120.
The above sequence forms an Arithmetic Progression as the common difference is same that is 1.
To find the total candles we need to find the sum of the above AP.
Sum of AP [tex]=\frac{n}{2}[2a+(n-1)d][/tex] ...where a=first term , n=total number of terms , d=common difference .
a=1 , d=1 , n=120
Substituting the value we get
[tex]=\frac{120}{2} [2(1)+(120-1)1]\\ \\ =60[2+119] \\ \\ =60*121\\ \\ =7260[/tex]
Therefore , Total of 7260 candles will be light in all 120 birthdays.
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El señor Padilla vende 2/5 de su terreno y renta 1/6 que parte de su terreno queda sin mi rentar
Answer:
Si estamos hablando de fracciones sería 13/30, si es en porcentaje solo divide 13÷30
Step-by-step explanation:
Para iniciar tenemos que encontar un denominador común, que seria el treinta, entonces sería como este 12/30+5/30=17/30, y luego restamos 17 a treinta, y lo que te da es el resultado, espero que te ayude.
Find the value of x so that f(x)=7
Step-by-step explanation:
f (x) = 7
Slope: 0
y-intercept: (0,7)
x y
0 7
1 7
Graph x
Slope: 1
y-intercept: (0,0)
x y
0 0
1 1
Plot each graph on the same coordinate system.
f (x) = 7
x
Dan sells beaded necklaces. Each large necklace sells for $6.70 and each small necklace sells for $5.10. How much will he earn from selling 4 large necklaces and 1 small necklace?
Answer: 31.9 USD
Step-by-step explanation: 6.70x4=26.8. 26.8+5.10=31.9
Answer:
Answer: 31.9 USD
Step-by-step explanation:
6.70 x 4 = 26.8
26.8 + 5.10 = 31.9
Can someone help with the last questions
For c I got 32768 but it’s not correct
Please help with c and d!
Solve the equation for b.
−5(b−4)=8(3b+2)
b=
Answer: Hence the ratio will be 2 : 30, and then divide both sides by 2 to get 1 : 15 as the ratio in its simplest terms.
Step-by-step explanation: