The simplified expression of 5^4 * 5^-6 is 5^-2
How to evaluate the expression?The expression is given as
5^4 * (5^-2)^3
Evaluate the product of exponents
So, we have
5^4 * 5^-6
The base of the above expression are the same
i.e. Base = 5
This means that we can apply the law of indices
So, we have
5^4 * 5^-6 = 5^(4 -6)
Evaluate the sum in the above equation
So, we have
5^4 * 5^-6 = 5^(4 -6)
Evaluate the difference in the above equation
So, we have
5^4 * 5^-6 = 5^-2
Hence, the simplified expression of the expression given as 5^4 * 5^-6 is 5^-2
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Solve the following inequality for r. Write your answer in
simplest form.
5r - 5(-7r +9) ≥ −10r +9 – 6r
Step-by-step explanation:
10r 7r-1 r-9 7r-7=10 5r²2
Help solve please im struggling
Answer:
The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
Answer:
15601 OR 1+100(55+100)+100
Step-by-step explanation:
A=1
B=25
C = 100
D = 55
E = +
F = -
G =()
AECGDECGEC
1+100(55+100)+100
1+100(155)+100
1+15500+100
15601
(URGENT!) The function g is defined by the following rule. Complete the function table. g(x)=4x-2 (The table is in the image)
Given g(x) = 2x- 4, find g(2).
Answer:
0
Step-by-step explanation:
So repalce the x with 2 so now its 2(2)-4 you multiple the 2 times 2 which is 4 now 4-4is 0
What is the value of p when p = 6r² and r=3
Answer:
p = 54Step-by-step explanation:
What is the value of p when p = 6r² and r=3
p = 6r²
p = 6 * 3²
P = 6 * 9
p = 54
---------------
Question content area top Part 1 In a certain chemical, the ratio of zinc to copper is 3 to 11 . A jar of the chemical contains 363 of copper. How many grams of zinc does it contain?
We need to know about ratio to solve this problem. The number of grams of zinc is 1331 grams.
Ratio in simple terms mean how many times one number contains another. In this question we know that the ratio of copper and zinc is 3 to 11 which means that in the chemical there are 3 parts of copper and 11 parts of zinc. The ratio between two things can be obtained by dividing one by the other and reducing it to the simplest fraction. We know that 363 grams of copper is present, we need to find the amount of zinc. Let us consider the amount of zinc to be x
363/x=3/11
x=363x11/3=121x11=1331
Therefore the amount of zinc present is 1331 grams.
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In a fruit cocktail, for every 30 ml of orange
juice you need 20 ml of apple juice and 50
ml of coconut milk. What proportion of the
cocktail is apple juice?
Give your answer as a fraction in its
simplest form
Answer:
1/5
Step-by-step explanation:
If you mix 30 ml of orange juice, 20 ml of apple juice and 50 ml of coconut milk you will get a total of 30 + 20 + 50 = 100 ml of cocktail
The proportion of apple juice in the cocktail is merely the volume of apple juice added to the total volume of cocktail
= 20/100 = 1/5
Khan academy question. Can you help?
The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)
How to represent point slope equation?The point slope equation can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesThe line passes through (1, 0) and (6, -3).
Therefore, the point slope equation can be represented as follows:
m = y₂ - y₁ / x₂ - x₁
Hence,
m = -3 - 0 / 6 - 1
m = -3 / 5
m = - 3 / 5
Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)
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Lowes carries 3 types of plants. 1/10 of the plants are fruit bearing,
1/2 of the plants are flower bearing, the rest are
vegetable bearing plants. How many are vegetable bearing plants?
This problem is asking me to determine?
Write the equation you will be using to solve.
The number of vegetable-bearing plants is 12/5.
How to find the number of vegetable-bearing plants?Lowes carries 3 types of plants.
1/10 of the plants are fruit bearing
1/2 of the plants are flower-bearing
The rest are vegetable-bearing plants.
Solution:
Let x be the no of vegetable-bearing plants.
The total number of plants = Number of plants that are fruit-bearing + Number of plants that are flower-bearing + Number of plants that are vegetable-bearing.
3 = 1/10+1/2+x
Taking L.C.M.,
3 = 1+5+10x/10
3 = 6+10x/10
30 = 6+10x
30-6 = 10x
24 = 10x
x = 12/5
Therefore, 12/5 of plants are vegetable-bearing.
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The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices
x + y = 140
y – x = 32
y – x = 140
x + y = 32
x + y = 140
x – y = 32
x – y = 140
x + y = 32
Answer:
third option
Step-by-step explanation:
the sum of x and y is 140 , that is
x + y = 140
the difference between x and y is 32 ( y is smaller ) , then
x - y = 32
the system to solve for x and y is
x + y = 140
x - y = 32
Answer:
3rd one trust me
12 ejrid the rude
Question
What numbers are a distance of 23 unit from 12 on a number line
The side that is adjacent to angel f has a length of 3 4 5
[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.
what is adjacent angle?When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
what is adjacent rule angle?If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.
Remember that a2 + b2 = c2.
[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .
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Martin Binford is an author. He has no income he would report on line 1a or line 1b of his schedule SE. He earned $143,380 in 2010 from his books. He had $3,563 in expense. How much self-employment tax does he owe?
Answer:
He owes $33556.08 worth of self employment tax.
Explanation:
consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.
in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.
The product of 2 and the difference of a number and 5.
The expression for the product of 2 and the difference of a number and 5 is 2x - 10
What is an algebraic expression?An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants
These expressions also known to be made up of various mathematical or arithmetic operations, such as;
MultiplicationBracketSubtractionParenthesesAdditionDivision, etcFrom the information given, we have;
The product of 2 and the difference of a number and 5.
Let the number be x
This can be represented thus;
2(x- 5)
expand the bracket, we have;
2x - 10
Hence, the expression is 2x - 10
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Complete question:
Write the expression for
The diagonals of parallelogram LMNO intersect at point P. If MP = 2x + 5 and OP = 3x − 7, what is MP?
The value of MP in the parallelogram is 29 units.
How to find the diagonal of a parallelogram?A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.
Therefore,
The diagonals of parallelogram LMNO intersect at point P.
The diagonals of parallelogram LMNO are LN and MO.
The point P of the parallelogram divides each diagonal into exactly two equal parts.
Hence,
MP = OP
MP = 2x + 5
OP = 3x - 7
2x + 5 = 3x - 7
2x - 3x = -7 - 5
- x = - 12
x = 12
Therefore,
MP = 2(12) + 5
MP = 24 + 5
MP = 29
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solve for N
6n−6=−9n+54
n=
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
[tex]6n-6=-9n+54[/tex]
Shifting the like terms:
[tex]6n+9n=54+6[/tex]
Simplify the equation:
[tex]15n=60[/tex]
Solve for n:
[tex]n=\frac{60}{15}[/tex]
The final answer is:
[tex]n=4[/tex]
If six more than 3 times a number is equal to 12 less than double the same number. choose the equation you will use to solve for the unknown number and the number (solution).
Answer: 3x + 6 = 2x - 12
Step-by-step explanation: So, the answer to what x is:- is
3x + 6 = 2x - 12
3x - 2x = -12 - 6
x = - 18
In triangle NAP, measure of N= 45 and the measure of A= 70. Which statement best describes triangle NAP?
1. Segment NA is the longest side
2. Segment NP is the longest side
3. Segment AP is the longest side
4. Segment AP and segment NP are the longest sides and are congruent
Answer:
2. NP is the longest side
Step-by-step explanation:
I assume the messages of N and A are degrees if the angles there.
angle A = 70°
angle N = 45°
that means
angle P = 180 - 70 - 45 = 65°
because the sum of all angles in a triangle is always 180°.
and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.
the side opposite of A is NP.
find the slope of the line
Answer:
0.5
Step-by-step explanation:
want an explanation?
x-3/4+2/3=17/12 true?
1) 8
2) 6
3) 0
4) 4
The solution for the linear equation is x = 6, thus the correct option is the second one.
Which value of x makes the equation true?
Here we have the linear equation:
(x - 3)/4 + 2/3 = 17/12
To solve this we need to isolate the variable, x, in one of the sides of the equation.
(x - 3)/4 + 2/3 = 17/12
(x - 3)/4 = -2/3 + 17/12 = -8/12 + 17/12 = 9/12 = 3/4
(x - 3)/4 = 3/4
x - 3= 4*(3/4) = 3
x = 3 + 3
x = 6
The solution is x = 6, thus the correct option is the second one.
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Express your answer as a polynomial in standard form. f(x) = x - 1
g(x) = 3x² - 4x-12
Find: g(f(x))
Answer:
[tex]3x^2 - 10x -5[/tex]
Step-by-step explanation:
[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]
Answer:
[tex]g(f(x))=3x^2-10x-5[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]
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the circumference of a circle is 60cm what is the area
step by step explanation please
The area of a circle with a circumference of 60cm is 286. 38cm²
How to determine the area of the circleThe formula for calculating the circumference of a circle is expressed as;
Circumference = 2 πr
Where;
π has the value pie in decimal form is = 3. 14 and in fraction form is 22/7r is the radius of a circleNow, let's put and substitute the value of circumference of the circle as 60cm in the formula
We have;
60 = 2 πr
Interchange the value for π as 3.14, we have;
60 = 2× 3.14r
Multiply the values
60 = 6.28r
Make 'r' the subject of formula by dividing both sides by the coefficient of the variable 'r'
r = 60/6.28
Find the quotient
r = 9.55cm
But we have that the formula for area of a circle is expressed as;
Area = πr²
Substitute or put the value of radius into the formula
Area = 3. 14(9.55)²
Determine the square of the value
Area = 3.14(91. 20)
Find the product
Area = 286. 38cm²
Thus, the area is 286. 38cm²
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5/6 x = 15
Explain please and say the answer
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
Time Conversions: Convert to the asked time.
. 8 hours, 20 minutes, and 36 seconds =
hours
The answer in hours is 8.91 hours.
How do you convert minutes and seconds to hours?Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.
Given: 8 hours 20 minutes and 36 seconds
20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours
because as mentioned above 1 hour = 60 min
and 36 seconds in hours can be written as 36/ 60X60 = 1/ 100 hours or 0.01 hours .
because 1 min = 60 seconds and 1 hour = 60 min
thus 1 hour = 60 X 60 seconds
Thus the final answer is 8+0.9+0.01 hours = 8.91 hours
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!!!!!!!
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Answer:
Step-by-step explanation:
When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].
6x + 7 = – 5
what is it?
Step-by-step explanation:
I hope it will be helpful for you.
Step-by-step explanation:
6x + 7 = -5 -7 -7___________6x + -12 __ __ the two small lines mean ÷6 6x = -2
hope this helps:)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7x + 12
Step-by-step explanation:
(10x - 3x) + 12
7x + 12
Identify the element in Group 17, Period 6
Answer:
ima say Chlorine
Step-by-step explanation:
Q's Which element is located in Group 17 and Period 6?
Chlorine is in group 17 of periodic table, also called the halogens, and is not found as the element in nature.
Answer:
Group 17 Elements: On the periodic table, the halogens are to the left of the noble gases. Fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (A) are the five poisonous non-metallic elements that make up Group 17 of the periodic table (At). Despite the fact that astatine is radioactive and has only short-lived isotopes, it behaves similarly to iodine and is frequently classified as a halogen. Because halogen elements have seven valence electrons, forming a complete octet requires only one extra electron. Because of this, they are more reactive than other non-metal groups.
In the periodic table, the Group 17 elements exist as the second column from the right side. The group 17 elements consist of Fluorine, Chlorine, Bromine, Iodine, Astatine, and Tennessine. The group 17 elements are called halogens. We will study the importance of group 17 elements, their properties, and their uses in this article. Some of the classic uses of halogens are as follows: Iodine is used as an antiseptic, chlorine is a disinfectant, fluorine is used in toothpaste in the form of sodium fluoride as it prevents tooth decays.
Step-by-step explanation:
Adam buyed 8 new video games each costing $19.97. How can you represent the total amount that will be withdrawn from his bank account?
Answer:
8*19.97=159.76
Step-by-step explanation:
Answer:
8*19.97=159.76
Step-by-step explanation: