Answer: (1) Deena and Eduardo, (2) (A) or cube root of 343
Step-by-step explanation:
Number 1 : Deena and Eduardo are correct,
16 x 16 = 256
4 x 4 x 4 = 64
Number 2 : (a) the cube root. of 343 will give Patel the correct answer,
h^3 = 343
cube root of both sides
so, h. = cube root of 343
2. What is the perimeter of square EFGH?
Find the two real solutions of each equation. x²=0.25
Answer:
x = 0.5, −0.5 i think
Step-by-step explanation:
bc 0.5 x 0.5 is 0.25 and in multiplication 2 negs equal a positive
For each pair of functions, find f(g(x)) and g(f(x)) .
f(x)=x+5/2, g(x)=x²,
The value for f(g(x)) =[tex](\frac{x^{2} +5}{2} )[/tex]
g(f(x)) =[tex](\frac{x+5}{2} )^2[/tex]
What are the domain of the function f(g(x)) and g(f(x))?Given:
f(x)=x+5/2 and g(x)=x²
Take, g(x) = x²
substitute x = f(x) into the function g(x). Then:
g(f)x)) =[tex](\frac{x+5}{2} )^2[/tex]
Now, the next step is to substitute g(x) into the function f(x)
f(x) = x+5/2
f(g(x)) =[tex](\frac{x^{2} +5}{2} )[/tex]
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Suppose a designer has a palette of 6 colors to work with, and wants to design a flag with 3 vertical stripes,
all of different colors.
How many possible flags can be created?
pls help permutations and combinations are kicking my butt
The number of possible ways to create the flag with 6 colors in total and 3 colors to be used in the flag is 30 ways.
We are given that:
Total colors in a palette = 6 colors.
Colors to be used in making of the flag = 3 colors.
So, by using the permutations, we get that:
Number of possible ways to create the flag = 6 × 5 ways.
Number of possible ways to create the flag = 30 ways.
Therefore, we get that, the number of possible ways to create the flag with 6 colors in total and 3 colors to be used in the flag is 30 ways.
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What is the classification for this polynomial?
-3m²n²
Click on the correct answer.
monomial
binomial
trinomial
Answer:
Monomial
Step-by-step explanation:
This is a monomial because there is only one term.
Monomial = one term.
Binomial = two terms
Trinomial = three terms
Hope this helps!
Please mark as brainliest if correct!
If ∠A = 5x – 6 and ∠C = 3x + 14, what is the measure of ∠A?
Lifesaver:
∠A = ∠C
⇒ AB = BC (Equal angles have equal sides opposite to them)
⇒ 5x+6 = 3x+14
⇒ 5x-3x = 14-6
⇒ 2x = 8
⇒ x= 4
is anyone good at math? please I need help and say the answer A, B, C, and D and be sure of your answer thanks and the First picture and the second one are the same question
Answer:
Step-by-step explanation:
Question 1:
0.42 repeating is rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.
11/3 = rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.
6.25 is a rational number. A rational number is any integer, fraction, terminating decimal, or repeating decimal.
16[tex]\pi[/tex] = irrational irrational number, any real number that cannot be expressed as the quotient of two integers.
0.01045 is rational. A rational number is any integer, fraction, terminating decimal, or repeating decimal.
[tex]\sqrt{\frac{3}{16} }[/tex] = Irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.
[tex]\sqrt{48}[/tex] = The square root of 48 is not a rational number, as it cannot be expressed in the p/q form.
[tex]\sqrt{\frac{16}{81} }[/tex] = rational. The square root of (16/81) is the same as the square root of 16 divided by the square root of 81. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two: √16 √81 = 4 9 ≈ 0.4444 Alternatively, we first divide 16 by 81 and then do the square root of the quotient:√16/81 ≈ √0.1975 ≈ 0.4444
Question 2:
[tex]\frac{\sqrt{6} }{\sqrt{5} }[/tex] = irrational. Irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.
[tex]\frac{\sqrt{6} }{5}[/tex] = irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.
[tex]\sqrt{30}[/tex] = the square root of 30 is not a rational number. It is an irrational number, as it cannot be expressed in the form of p/q.
[tex]\frac{\sqrt{5} }{6}[/tex] = irrational number, as it cannot be expressed in the form of p/q.
[tex]\frac{\sqrt{30} }{5}[/tex] = irrational since there is no exact square root for 30 and 5.
Question 3:
[tex]\sqrt{68}[/tex] = 68 is not an exact square root so it is about 8.24621125124….. about 8.25 or 8.3 or just 8.
[tex]\sqrt{45}[/tex] x [tex]\sqrt{96}[/tex] = 12[tex]\sqrt{30}[/tex]
Evaluate each logarithm.
log₄2
The value of the expression log₄2 is 1/2.
The logarithmic function is the inverse of the exponential function. This means that the logarithm of a given number, say x, is the exponent to which another fixed number that is the base b, must be raised, so as to produce that number x.
Log a to the base b can be written as- log a/ log b.
Moreover, log [tex]a^{k}[/tex] = k log a, for all non negative values of a
Here, we are given a logarithmic expression- log₄2
We can expand this as-
log₄2 = log 2/ log 4
= log 2/ log [tex]2^{2}[/tex]
= log 2/ 2 log 2
= 1/2
Thus, the value of log₄2 is 1/2.
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Tell which of the given equations have parallel line graphs and which have perpendicular line graphs. 17. a. y = x-8 b. -15x + 6y - 10 = 0 c. 4x+10y = 15
Answer:
whether the transaction
is a purchase or sale. Write a formula for the advisor's
commission. Let D represent the value of one transaction.
Give two examples of how this financial advisor could earn a
commision of $1000
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
When George was born, his father was 36 years old. George is now 10% of his father's age.
How old is George now?
3.62 years
Or
3 years
7 Months
12 days
9 hours
18 minutes
40 seconds
Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9. What did Mari forget?
Answer: She forgot to add there signs
Step-by-step explanation:
Since both numbers are negative, you have to add their absolute values and then add their signs so its -9
Answer:
Step-by-step explanation:
She forgot to keep the same sign as the numbers being added (SAK) same , add , keep
Pls help me. Questions are attached!!!
The hatched percentage is the 50% of the total area of the rectangle, the correct option is a.
What percentage of the area is hatched?Let's define the height of the rectangle as H and the length as L, then the area of the rectangle is:
L*H
Now we can see that the hatched area is defined by two right triangles, both of height H and of bases b₁ and b₂, such that:
b₁ + b₂ = L
Then the area of these triangles is:
[tex]A = b_1*H/2 + b_2*H/2 = (b_1 + b_2)*H/2 = L*H/2[/tex]
This is half the area of the rectangle, so the hatched percentage is the 50%.
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2x+36=8x solve for x NO WORDS
Answer:
x = 6
Step-by-step explanation:
Subtract, simplify, subtract
[tex]2x+36-36=8x-36\\2x=8x-36\\2x-8x=8x-36-8x\\[/tex]
Simplify
[tex]-6x=-36[/tex]
Divide
[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]
Reverse the equation by the fraction rule
[tex]\rightarrow \frac{6x}{6}\\= x\\\rightarrow \frac{36}{6}\\= 6\\6 = x\\\uparrow\downarrow\\x = 6[/tex]
Pls help
On the photo
Answer:Sect A
1)X1=-3,X2=-2
2)X1=-3/4,X2=3
3)X1=-2/3,X2=5/2
4)X1=-2,X2=4
5)X1=1/2,X2=3
6)X1=-4,X2=4/3
Answer: Sect B
1)X1=-5,X2=-3
2)X1=3,X2=4
3)X1=-5,X2=3
4)X1=4,X2=7
5)X1=-5,X2=6
6)X1=-13,X2=2
7)X1=-3,X2=8
8)X1=-7,X2=-2
9)X1=2,X2=16
10)X1=8,X2=9
section a:
1. x = -2, -3
2. x = 3, [tex]-\frac{3}{4}[/tex]
3. x = [tex]\frac{5}{2},-\frac{2}{3}[/tex]
4. x = -2,4
5. x=3, 1/2
6. 4/3, -4
section b
1.x=-3,-5
2. x= 4,3
3. x = 5
4. x =-4,-7
5. x=6,-5
6. x=2,-13
7. x=8,-3
8. x= -2, -7
9. x= 16, 2
10. x= 9,8
Step-by-step explanation:section a:
1.
(x + 2)(x + 3)= 0
x + 2 = 0 x + 3 = 0
x + 2 - 2 = 0 - 2 x + 3 - 3 = 0 - 3
x = -2 x = -3
2.
(4x + 3)(x - 3)=0
4x + 3 = 0 x - 3 = 0
4x + 3 - 3 = 0 - 3 x - 3 + 3 = 0 + 3
4x = -3 x = 3
4x = - 3 / 4
x = [tex]-\frac{3}{4}[/tex] x = 3
3.
(2x-5)(3x+2)=0
2x-5=0 3x+2=0
2x-5+5=0+5 3x+2-2=0-2
2x= 5 3x=-2
2x=5/2 3x=-2/3
x= 5/2 x= [tex]-\frac{2}{3}[/tex]
4.
(4x+8)(2x-8)=0
4x + 8 = 0 2x - 8= 0
4x = -8 2x = 8
4x = -8/ 4 2x=8/2
x=-2 x=4
5.
(5x-15)(4x-2)=0
5x-15=0 4x-2=0
5x = 15 4x=2
5x = 15 /5 4x=2/4
x=3, 1/2
6.
(9x-12)(5x+20)=0
9x -12=0 5x+20=0
9x=12 5x=-20
9x = 12/ 9 5x= -20/5
x= 4/3 x = -4
Plot 8,1 , and -3 on the number line.
Answer:
8 would come on the 3rd notch past 5( is behind 10 2 notches.
1 would come one notch after 0.
-3 would come 3 notches befor 0 and 2 notches after -5.
Step-by-step explanation:
Hope it helps! =D
Select the postulate that is illustrated for the real numbers.
5 · 1 = 5
The postulate is which illustrated the above expression is the multiplication identity.
As we are the given expression for the real numbers 5 . 1 =5, Jere the ". " depicts the multiplication symbol, and the here 1 is called the identity element. According to the postulate, it is said that the identity element which is the 1 in the group of rational numbers, when multiplied with any real number in a given mathematical system leaves the result of the product unchanged.
Such as 4 . 1=4
7 . 1 =7
12 . 1= 12
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Jacqui is making a stained glass piece. She cuts the top and bottom pieces at a 30° angle. If the corners are right angles, explain how Jacqui knows that each pair of opposite sides are parallel.
A right angle is an angle of 90 degrees. A right angle is formed when two lines that are perpendicular to each other intersect. A right angle assumes the shape L.
Parallel lines are lines that do not meet or intersect at any point no matter how long they are extended. The sided of most quadrilaterals are parallel to each other and intersect at right angles. For example: squares and rectangles.
In our question, Jacqui will know that each pair of opposite sides are parallel since the corners are right angles, each pair of opposite sides will be perpendicular to the same line. As a result, each pair of opposite sides will be parallel.
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solve 5! how do i solve 5 with legit 0 context?
all that's there on my Acellus is "Solve 5!"
how do i?
Answer:
5! = 120
Step-by-step explanation:
using the definition of factorial !
n! = n(n - 1)(n - 2) .... 3 × 2 × 1 , then
5! = 5 × 4 × 3 × 2 × 1 = 20 × 12 × 1 = 120
Work out the perimeter of the shape
shown below.
Give your answer in centimetres (cm).
3 cm
7 cm
4 cm
11 cm
The perimeter of the shape is => 50cm.
Here, we have,
given that,
from the given diagram, we get,
there are two rectangles.
we get,
perimeter of one rectangle is:
2( 3+ 7) cm
=20 cm
perimeter of the other rectangle is:
2(4+11)
= 30cm
so, total perimeter = (20+30) =50cm
Hence, the perimeter of the shape is => 50cm.
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4 = 3а - 14 how do you get the problem set up
Answer:
Step-by-step explanation: 4=3a-14 then you add 14 to both sides and to isolate 3a should it look like this 18=3a then you divide 3 and to isolate "a" and you should 6=a
hope this helped :D
Answer:
a = 6
Step-by-step explanation:
Switch the sides
[tex]4=3a-14\\= 3a-14=4[/tex]
Group(right side)
[tex]3a-14=4\\3a-14+14=4+14[/tex]
Simplify arithmetic
[tex]3a=4+14\\3a=18[/tex]
Isolate "a"
[tex]3a=18\\\frac{3a}{3}=\frac{18}{3}[/tex]
Simplify this improper fraction by splitting it into its least common multiples
[tex]a=\frac{6 \times 3}{1 \times 3}[/tex]
Factor(Cancel GCF)
[tex]a = 6[/tex]
Concerns, let me know, otherwise, have a great day!
Jin earned $79.60 at his job when he worked for 4 hours. How much money did he
earn each hour?
Write the function rule g(x) after the given transformations of the graph of f(x) = -3x.
Reflection in the y-axis; vertical compression by a factor of 1/9.
g(x) = []
Can someone help please, tysm!
The function rule g(x) after the given transformations of the graph of f(x)= 3x is g(x) = 1/9x
Transformation techniques -
The act of shifting an object's location on the xy plane is referred to as transformation.
Given the parent function
f(x) = -3x
If the function is not reflected over x-axis, the resulting function will be f(x) = 3x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/9( 3x)
g(x) = 1/9x
Hence the function rule g(x) after the given transformations of the graph of f(x)=3x is g(x) = 1/9x.
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HELP ME WITH THIS PLEASE
The customer will pay 27% of the original price
How to determine the amount paid by the customer?The discounts are given as:
70% and 10%
This means that
Selling price = (1 - 0.7) * (1 - 0.1) * original price
Evaluate the differences
Selling price = (0.3) * (0.9) * original price
Evaluate the products
Selling price = 0.27 * original price
Express as percentage
Selling price = 27% * original price
Hence, the customer will pay 27% of the original price
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You go the grocery store and buy 7 bags of gummy bears and 3 chocolate bars. your total was $22. next time you go, you buy 3 bags of gummy bears and 1 chocolate bar for a total of $8. what is the cost of each bag of gummy bears?
The cost of each bag of gummy bears= $1
Let,s take the cost of a bag of gummy bears to be x and the cost of each chocolate bar to be y.
So from the given question, we get out the first equation as
7 x + 3 y = $22 ------(1)
and the second equation is
3 x + 1 y = $ 8 -------(2)
We have to find the value of x and y by which we will get to know about the cost of each bag of gummy bears and chocolate bar respectively.
Now we have to multiply the second equation with 3
(3 x + 1 y = $8 ) *
we will get :
9 x + 3 y = $ 24 -------( 3)
After equating equations (1 ) and (3)
we get
7 x + 3y = $22-------(1)
9x + 3 y= $24-------(3)
By subtracting of the equation (1) and (3) we get
-2 x = - $2
i.e., x = $1
Now to get the value of y we can put the value of x in any of the above- given equation
Let us put it on equation number (2)
3x + 1 y = $8
= 3 * 1 + y = $ 8
= 3 + y = $ 8
=y = $5
From this, we get the value of x = $1 and y = $ 5 which are the value of gummy bear and chocolate bar
We have to find the value of each gummy bar which is $1
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Make a table of values for the following equation. Then graph the equation.
y = |x| + 2
Complete the table of values below. (Simplify your answers.)
x | y
-3 | []
-1 | []
0 | []
1 | []
3 | []
The complete table of values of the absolute value equation is
x | y
-3 | [5]
-1 | [3]
0 | [2]
1 | [3]
3 | [5]
How to make a table of values for the following equation. Then graph the equation?The absolute value equation of the function is given as
y = |x| + 2
On the incomplete table of values, we have the following x values
x = -3, -1, 0, 1 and 3
Next, we substitute x = -3, -1, 0, 1 and 3 in the equation y = |x| + 2
So, we have:
y = |-3| + 2 = 5
y = |-1| + 2 = 3
y = |0| + 2 = 2
y = |1| + 2 = 3
y = |3| + 2 = 5
So, the complete table of values of the absolute value equation is
x | y
-3 | [5]
-1 | [3]
0 | [2]
1 | [3]
3 | [5]
See attachment for the graph of the absolute value equation
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Evaluate
3²• 3 -⁵
———-
5-²
Answer:
0.926
Step-by-step explanation:
Simplify exponents
[tex](3^2*3^{-5})/5^{-2}\\(3^2*0.004)/5^{-2}\\(9*0.004)/5^{-2}\\(0.037)/5^{-2}\\0.037/0.04\\= 0.926[/tex]
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
23.04 x 1021
23.04 x 1022
2.304 x 1021
2.304 x 1022
The product of 4.5 x 1012 and 5.12 x 109 written in scientific notation is 23.04 x 110308
It is given that,
Two numbers are 4.5 x 1012 and 5.12 x 109
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 X 10^8 in scientific notation.
We need to find the product of both numbers and then find the final answer in scientific notation form
(4.5 x 1012) x ( 5.12 x 109 )
(4.5 x 5.12) x ( 1012 x 109)
23.04 x 110308
Hence, the product of 4.5 x 1012 and 5.12 x 109 written in scientific notation is 23.04 x 110308
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14,040-50x = 12,500+20x
Answer:
x = 22
Step-by-step explanation:
14,040 - 50x = 12,500 + 20x
14,040 - 12,500 = 20x + 50x
1540 = 70x
x = 22
To avoid a storm, a passenger-jet pilot descended 0.27 mile in 0.6 minute. What was the plane's average change of altitude per minute???????
Answer:
the ratio of distance descended over time
Step-by-step explanation:
Q10.
The diagram shows a solid cone.
The radius of the base of the cone is 5 cm.
The total surface area of the cone is 907 cm²
Work out the volume of the cone
5 cm
Diagram NOT
accurately drawn
The Volume of the cone with base radius 5cm and Total Surface Area 907cm² is 1374.5cm³.
The Volume of the cone is denoted by
V = (1/3)*π*r²*h
where r = base radius
h = height of the cone
In the given question
the base radius r = 5cm
the total surface area of the cone = 907cm²
Total Surface Area of the cone is denoted by = πr(L+r)
where L is the slant height .
Step1: we first calculate Slant height "L"
Substituting the values in Total Surface Area formula we get
907 = π*5(L+5)
Simplifying further we get
L+5 = 907/5π
L = 907/5π - 5
L = 57.77 - 5
L = 52.77
Step2: Use L to find the height of cone
Using Pythagoras Theorem
L²=r²+h²
(52.77)² = (5)² + h²
Simplifying further we get
2784.67 = 25 + h²
h² = 2759.67
h = √2759.67
h = 52.53
Step 3: use h to find the Volume
Substituting the value of h and r in Volume formula we get ,
V = (1/3)*π*5²*52.53
= (1/3)*(3.14)*25*52.53
= 4123.605 / 3
= 1374.535
≅1374.5
Therefore , the volume of the cone is 1374.5cm³.
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