The heat of the sun penetrates the atmosphere and warms the Earth's surface. The warmed rEarth Radiates and this heat back into the atmosphere.The gases the surround the atmosphere such as carbon dioxide , methane , nitrous oxide and water vapour absorb some of the radiated heat and send it back to the Earth . This trapping of heat from the Sun by excess carbon dioxide and other gases present in the atmosphere is known as the greenhouse effect. The gases involved in the phenomenon are called greenhouse gases.
Hope it helps ~(•‿•)f(x)=x² + 2x - 4; Find ƒ(−1)
Answer:
f(- 1) = - 5
Step-by-step explanation:
substitute x = - 1 into f(x)
f(x) = x² + 2x - 4 , then
f(- 1) = (- 1)² + 2(- 1) - 4 = 1 - 2 - 4 = - 5
Write the following expression in exponential form: 8x8x8x8x3x3
Answer:
It is: 8^4 times 3^2 = 36,864
Answer:
8^4 x 3^2
Step-by-step explanation:
There's 4 8's and 2 3's so that's the number the exponents will be
The total consumption of fruit juice in a particular country in 2006 was about 1.92 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Using the per person amount from this problem, about how many gallons would your class consume? pls help
The average quantity of juice that is consumed per person in this country is given as 3.84
How to solve for the averageWe have the following data with which to answer this question
The consumption of juice = 1.92 billion
The population of the country = 500 million
The question wants us to calculate the amount of drink that the persons would consume on average in this nation.
we have average = quantity consumed / total number of persons
This would give us
average = 1.92 billion / 500 million
= 1, 920, 000, 000 / 500, 000 ,000
= 3.84
Hence the amount of juice that is consumed per person in this country is given as 3.84
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During a sale, a store offered a 20% discount on a camera that originally sold for $370. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:
624
Step-by-step explanation:
650 * .80 = 520520 * 1.20 = 624
Expand each logarithm.
log₃ 7(2 x-3)²
If the expression is log₃ 7(2 x-3)², then the expansion of the expression is [[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]
Given that the expression is log₃ 7(2 x-3)².
We are told to find the expansion of the expression.
Logarithmic function is basically the opposite of the exponential function and is denoted by log or ln.
It says that [tex]log_{a} b[/tex]= [tex]log_{x}b /log_{x}a[/tex].
The expression is log₃ 7(2 x-3)².
We know that log mn=log m +log n.
log₃ 7(2 x-3)²=[[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]
We know that log [tex]a^{b}[/tex]=log b/log a but we are not changing here,So,
log₃ 7(2 x-3)²=[[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]
Hence if the expression is log₃ 7(2 x-3)², then the expansion of the expression is [[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]
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Please help is this true or false
the answer for your question is true. I believe.
A line passes through the points (6, -3) and (j, -4). If the slope of the line is 1/3 find the value of j.
Answer:
j = 3
Step-by-step explanation:
Recall the slope formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Now, simply substitute the values from the question.
[tex]\frac{1}{3} =\frac{-4+3}{j-6}[/tex]
Now, use the cross-multiplication method. (remember, when subtracting negatives, the negative becomes a positive)
[tex]1(j-6)=3(-4+3)[/tex] Cross Multiplication
[tex]1(j-6)=3(-1)[/tex] Simplify
[tex]j-6=-3[/tex] Distributive Property
[tex]j=3[/tex] Addition Property
Therefore, j = 3.
Help ASAPPP explain why Answer is correct
Answer:
Option 2
Step-by-step explanation:
The distances will be the same because the bisector will create congruent triangles, and the desired equalities follow from CPCTC and the definition of congruency.
What is each number in simplest form?
a. 32⁻³/⁵
Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.
You may also hear the simplest form called "lowest term."
In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:
Combine Like termsFactoringincreasing (the opposite of factoring)clean out fractions by multiplyingrecognizing a pattern you have seen earlier than, just like the difference of squaresInput:
32^ (-3/5)
Exact Value:
1/8
Decimal Form:
0.125
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Factor each expression.
5 x²+13 x-6
The answer to the present question is:5x² + 13x - 6 = (5x - 2) (x + 3)
For a polynomial, ax² + bx + c, we want to separate the center term because the sum of these two numbers, whose sum is adequate to the merchandise of the opposite two numbers.
So, here, we'd like to rewrite 13 because the sum of two numbers, whose product is adequate to the opposite two numbers, i.e., 5*(-6) = -30
So, to separate 13, two numbers used here will be: 1 5 and -2, because after we will add 15 and -2 we are going to get 13 and that we will multiply them, then we are going to get
-30.5x² + 13x -6 = 5x² + 15x - 2x - 6
= 5x(x + 3) - 2(x + 3)
= (5x - 2) (x + 3)
Therefore, 5x² + 13x - 6 = (5x - 2) (x + 3)
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Please answer the question in the photo! ( brainliest )
Answer:
Step-by-step explanation:
basically the angle is a 90 degree angle and it tilted slightly to the left measures that you come out with 3/4 .
-15 divided by 0.3 and also -4 divided by -20
Answer:
first one = -50
second one = 0.2
Step-by-step explanation:
Answer: bro if your on a computer or phone just use a calculator lol but ill put the answer below
Step-by-step explanation:
-15 divided by 0.3= -50
-4 divided by -20 = -24
You and your friend decide to get an Uber ride to a concert in downtown Minneapolis to avoid the crazy traffic. Uber charges a flat rate fee of $5.50 just to hop in the vehicle and an additional $2.25 for each mile traveled. Lyft charges a flat rate fee of $3.25 just to hop in the vehicle and an additional $3 for each mile traveled. How many miles (x) does it take for the price to be the same?
Answer:
I deleted my answer bc i accidentally answered the wrong question
Will the answer to the addition problem below be odd or even?
742 +61 = ?
A. Odd
B. Even
Answer:
odd
Step-by-step explanation:
Not sure tho
Simplify each expression.
ln e¹⁰
We will get lne¹⁰ itself after simplifying the given expression lne¹⁰.
What is an expression?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.So,
Given expression: ln e¹⁰Then,
lne¹⁰⇒ lne¹⁰Therefore, we will get lne¹⁰ itself after simplifying the given expression lne¹⁰.
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f(x)=√x-4
y = √x=4
How to find the inverse function
f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]
what is an inverse function ?
An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
write f(x)= [tex]\sqrt{x-4}[/tex] as an equation
y= [tex]\sqrt{x-4}[/tex]
interchange the variables
x= [tex]\sqrt{y-4}[/tex]
solve the equation for y we get
squaring both side ,we have
x^2 = y-4
this implies that
y= x^2 +4
replace y with f ⁻¹( x) to show the final answer
f ⁻¹( x)= x^2+4
Hence, f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]
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What expression is equivalent to -3(2x-4)
The given expression , the value of x is 2.
given,
equivalent expression = -3(2x - 4)
= -6x + 12
x = 2
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6x2 + 12y + 6.you can write equivalent expressions by combining like terms. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.to know more about equivalent expression;
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The average distance from Earth to the sun is about 9.3×107 miles. The average distance from Mars to the sun is about 1.4×108 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?
A 79,000,000 mi
B 47,000,000 mi
C 107,000,000 mi
D 233,000,000 mi
| | x+4|-7 |< 5, | | = absolute value
The absolute value of the inequality is x < 6
What is absolute value?Absolute value can be defined as the describing the distance of a number from zero on the number line, without considering direction.
It is also the value of the number with no consideration to it's sign.
Given the inequality;
| | x+4|-7 |< 5 | |
Take the absolute value and expand the bracket
(x + 4) + 7 < 5
expand the bracket
x + 4 + 7 < 5
x + 11 < 5
Make 'x' the subject
x < 5 - 11
x < -6
Take the absolute value
x < 6
Thus, the absolute value of the inequality is x < 6
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Write each equation in logarithmic form.
1/4=4⁻¹
The logarithmic form of 1/4 = 4⁻¹ is log₄ 4⁻¹ = ₋1.
The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).
The exponential function of the type aˣ = N can be converted into the logarithmic function logₐN = x. A Napier logarithm table can be used to determine the logarithmic value of any number. Logarithms are often calculated using a base of 10, therefore it is possible to get the logarithmic value of any number.
we have the exponential form as aˣ = N
1/4 = 4⁻¹
now the logarithmic form is:
logₐ N = x
log₄ 4⁻¹ = ₋1
hence we get the logarithmic form as log₄ 4⁻¹ = ₋1.
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2y-10x=14 in slope intercept form
Answer:
You want to start off my isolating the y onto one side:
2y-10x=14 ---> 2y=14+10x
then you remove the coefficient from the left side:
2y=14+10x -----> y=7+5x
Then all you want to do is rearrange the equation to match slope intercept:
y=7+5x ----> y=5x+7
Answer:
You want to start off my isolating the y onto one side:
2y-10x=14 ---> 2y=14+10x
then you remove the coefficient from the left side:
2y=14+10x -----> y=7+5x
Then all you want to do is rearrange the equation to match slope intercept:
y=7+5x ----> y=5x+7
Step-by-step explanation:
Unit cube:
What is the volume of the following figure?
cubic units
Front View
Back View
Answer:
back view
Step-by-step explanation:
You are very very very correct
how do you write 84 with letters?
Answer:eighty four
Step-by-step explanation:
what is the vertex of this graph
(minimum or maximum)
Answer:
maximum at (0, 2 )
Step-by-step explanation:
the vertex is the turning point on the graph.
the graph increases on the left up to (0, 2 ) then decreases
this indicates the vertex is a maximum
Paris went to the store with $20. She bought a Gatorade for $2.50, and three packs of gum. If she leaves with
$12.43, how much was each pack of gum? Be sure to define a variable, and write an equation.
Answer:
Each pack of gum was 1.69
Step-by-step explanation:
20 - 2.50 = 17.50
17.50 - 12.43 = 5.07
5.07/3 = 1.69
How do you answer and write this out correctly
2.
x^2-4y
/2
4^2- (4*-3)
/2
16+12
/2
28/2
14
solve this question
3x+4x=80,000
Answer:
11429 (estimated)
Step-by-step explanation:
1. Combine like terms: 3x+4x=7x
7x=80,000
2. Divide 80,000 by 7, which is 11428.57
which can be rounded to 11429
X = 2y + 18
5x = -3y - 27
Use the substitution method to solve the system below
Answer:
(0, - 9 )
Step-by-step explanation:
x = 2y + 18 → (1)
5x = - 3y - 27 → (2)
substitute x = 2y + 18 into (2)
5(2y + 18) = - 3y - 27
10y + 90 = - 3y - 27 ( add 3y to both sides )
13y + 90 = - 27 ( subtract 90 from both sides )
13y = - 117 ( divide both sides by 13 )
y = - 9
substitute y = - 9 into (1)
x = 2(- 9) + 18 = - 18 + 18 = 0
solution is (0, - 9 )
Simplify. √75 + √125
The value of the expression √75 + √125 is 5 (√3 + √5 ).
A number is a fundamental mathematical unit. For counting, measuring, and comparing quantities, we utilize numbers. A set of symbols, or numerals, used to represent numbers is known as a number system.
A square root is a factor of a number that yields the original number when multiplied by itself.
Consider the expression √75 + √125,
Let's assume x = √75 + √125
Now,
75 = 5 × 15 = 5 × 3 × 5
125 = 5 × 25 = 5 × 5 × 5
Therefore,
x = √75 + √125
x = √ [ 5 × 3 × 5] + √ [ 5 × 5 × 5 ]
x = 5√3 + 5√5
x = 5 × [ √3 + √5 ]
x = 5 × [ 1.73 + 2.24 ]
x = 5 × 3.97
x = 19.85
√75 + √125 = 19.85
Hence, the value of √75 + √125 is equal to 19.85.
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The distance between the school and Target is 4.2 miles. On a map the ratio is 0.5 inches is equal to 3 miles. How far would the school and Nokesville be on the map?
The the distance between the school and Nokesville be on the map is 0.7 inches.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance between the school and Target is 4.2 miles and on a map the ratio is 0.5 inches is equal to 3 miles that is :
3 miles = 0.5 inches on map
Now to find the distance between the school and Nokesville be on the map we first find for 1 miles on the map and then multiply it by 4.2 miles :
3 miles = 0.5 inches on map
1 miles = 0.5/3 inches on map
4.2 miles = (0.5/3) x 4.2 inches on map
4.2 miles = 0.7 inches inches on map
Therefore, the the distance between the school and Nokesville be on the map is 0.7 inches.
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