Answer:
x = 0
Step-by-step explanation:
x + 2 - 0.5x = 1 + 0.5x +1
2 - 0.5x = 2 + 0.5x
-0.5 - 0.5x = 2 - 2
-1x = 0
-1x/-1 = 0/-1
x = 0
Answer:
Step-by-step explanation:
Solve X + 2 - 0.5 x = 1 + 0.5 x + 1 : The answer is: X = 2X
ZA and ZB are complementary angles. If mA = (7x + 18)° and m
LB = (5x - 12)°, then find the measure of ZA.
The measure of ∠A = ∠67°.
Complementary angle
The sum of two angles is equal to 90 degrees is called a complementary angle.
Here it is given that ∠A and ∠∠B is a complementary angle
So from this, we have
m ∠A + m ∠B = 90°
m ∠A = (7x + 18)°
m ∠B = ( 5x - 12)°
So we have,
(7x + 18)° + ( 5x - 12)° = 90°
(12x + 6 )° = 90°
12x = 84°
x = 7°
Now we will put the value of x in the mA equation,
mA = (7x + 18)°
= (7× 7 + 18)°
= (49 + 18)°
= 67°
Therefore we get ∠A = 67°.
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Hi guys, I really need help with these I need them in 20 mins! Please help! I will give brainliest and 20 pts for the best answer! Please be quick! I think there are 3 or more questions. Thx so much guys!
For the relations in this problem, we have that:
1.
The relation is not a function.The domain is {10, 11}.The range is {20, 30, 50}.2.
Domain: [-2, 0).Range: [0, 2).The relation is a function.3.
Domain: [-2, 2].Range: [-2,2].The relation is not a function.When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For a point in the format (x,y), we have that:
x is the input.y is the output.The meaning is that the input x is mapped to the output y.When does a relation graphed represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.For the first relation, we have that input 10 is mapped to outputs 20 and 50, hence:
The relation is not a function.The domain is {10, 11}.The range is {20, 30, 50}.For the second relation, we have a graph with no vertically aligned points, hence:
Domain: [-2, 0).Range: [0, 2).The relation is a function.For the third relation, we have a graph with vertically aligned points, hence:
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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What is the minimum score you would need to be in the top 2%?.
Answer:
88.9294
Step-by-step explanation:
So for this problem we need to convert the top 2% into a z-score, which can be done using a calculator. You also first have to convert top 2% into 98% percentile. In doing so you'll approximately get: [tex]z\approx2.054[/tex]
This z-score just represents how many standard deviations away this is from the mean.
So this means that the minimum score would be represented as: [tex]76.4 + 2.054(6.1)\\88.9294[/tex]
This can be rounded as needed, but this would approximately be the minimum score to be in the top 2%
-36<3p-6<-15 Show steps Please
Answer:
the part of the male private part that produces sperm is the testicles
Edit:
i just realized i answered the wrong question
Solve this Equation ASAP
1.) 7z(2a³+5)
2.) 5p(3s-4t)
The values of the equation will be:
7z(2a³+5) = 14a³z + 35z
2.) 5p(3s-4t) = 15ps - 20pt
How to illustrate the information?It should be noted that an equation is used to express the relationship between the variables.
Therefore, the equation will be solved by simply opening the brackets and multiplying them. This will be:
7z(2a³+5) = 14a³z + 35z
5p(3s-4t) = 15ps - 20pt
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All of the following expressions have a value of 3 except _____. -3(4 - 5) |-2| + 1(3 - 2) -8 ÷ -4 + 1 6 - 5 · 3
All the expressions have a value of 3 except the expression 6 - 5.3.
What is an expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
The math operation can be addition, subtraction, multiplication, or division.
We have,
-3( 4 - 5 )
= -3 x -1
[minus x minus = positive]
= 3
|-2| + 1 ( 3 - 2)
The absolute value is always positive.
= 2 + 1 x 1
= 2 + 1
= 3
-8 ÷ -4 + 1
Minus gets canceled.
= -8/-4 + 1
= 2 + 1
= 3
6 - 5. 3
= 6 - 15
= -9
Thus all the expressions have a value of 3 except the expression
6 - 5.3.
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Solve an equation based on the following description: “11 less than three times a number, n, is the same as 75 less than the product of -1 and the number”
The solution to the equation based on the description given is: n = -16.
How to Solve an Equation?First, we need to translate each given statement into algebraic expressions.
"11 less than 3 times n" can be translated as: 3 × n - 11 = 3n - 11
"75 less than the product of -1 and n" would be translated as: (-1)(n) - 75 = -n - 75.
It is stated that both statements or description are the same. This means, they are equal to each other. Therefore, the equation that would be formed is:
3n - 11 = -n - 75
Solve for n
3n - 11 + n = -n - 75 + n [addition property of equality]
4n - 11 = - 75
4n - 11 + 11 = - 75 + 11 [subtraction property of equality]
4n = -64
Divide both sides by 4
4n/4 = -64/4 [division property of equality]
n = -16
Therefore, the solution to the equation based on the description given is: n = -16.
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The apparent brightness of stars is measured on a logarithmic scale called magnitude, in which lower numbers mean brighter stars. The relationship between the ratio of apparent brightness of two objects and the difference in their magnitudes is given by the formula
m₂-m₁=-2.5 log b₂ / b₁ , where m is the magnitude and b is the apparent brightness.
How many times brighter is a magnitude 1.0 star than a magnitude 2.0 star?
A magnitude 1.0 star is about 2.5 times brighter than a magnitude 2.0.
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as .
[tex]log_ax=N[/tex]
where, a is the base of function or equation
x = expression or equation
Mathematically, if [tex]a^N=x[/tex] is an exponential function then, this can be converted to logarithmic function as [tex]log_ax=N[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms are :
log_c a × b = log_c a + log_c b , c is the baselog a/b = log a - log blog a^x = x log alog a^a = 1log (√x) = 1/2 log (x)We use the given formula:
[tex]m_2 - m_1 = -2.5 log \frac{b_2}{b_1}[/tex]
now m2 = 2.0 and m1 = 1.0
Hence,
[tex]m_2 - m_1 = -2.5 log \frac{b_2}{b_1}\\\\= > 2.0 - 1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > -1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > log \frac{b_2}{b_1} = 0.4\\\\= > \frac{b_2}{b_1} = 10^{0.4} = 2.5 approx.[/tex]
Thus, magnitude 1.0 star is about 2.5 times brighter than the magnitude 2.0 star.
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Round 274.886850722 to the nearest hundredth.
Answer:
274.89
Step-by-step explanation:
Answer: 274.89
Step-by-step explanation: You look at the nearest hundredth and which is 2 numbers right of the decimal and see if the number in the hundredths place is higher or lower than 5 if it is 5 or above you round up if not you round down.
Flying Home A bird flies from the bottom of a canyon that is 57 1/5 feet below sea level to a nest that is
664 7/10 feet above sea level. What is the difference in elevation between the bottom of the canyon and
the bird's nest?
Answer:
Exact Form:
1215 / 2
Decimal Form:
607.5
Mixed Number Form:
607 1/2
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.5 degrees, what will be the temperature when the plane reaches an altitude of 8,000 feet? Express your answer as a decimal
please asap
The temperature when the plane reaches an altitude of 8,000 feet is 50.7°.
How to calculate the value?From the information, there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky and the temperature on the ground is 59.5 degree
Therefore, the temperature when the plane reaches an altitude of 8,000 feet will be:.
= 59.5 - 1.1(8000/1000)
= 59.5 - 1.1(8)
= 59.5 - 8.8
= 50.7
Therefore, the temperature when the plane reaches an altitude of 8,000 feet is 50.7°.
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When you are performing multiple transformations it is called?
When you are performing multiple transformations it is called a composite transformation.
A number of transformations or sequence of transformations that can be combined into a single transformation is called as composition. The resulting matrix is known as composite matrix. The process of combining is known as concatenation.
A composite transformation (or a composition of transformations) refers to the two or more transformations performed one after the other. For example: a translation followed by a reflection which is again followed by a rotation. Another example can be: a rotation followed by a translation or a rotation followed by a reflection.
Therefore, when you are performing multiple transformations it is called a composite transformation.
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12.A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.
C = 1.9 x 9.95
C≈ 18.91
C≈ $18.91
The total cost of the book including the sales tax is $10.85.
What is defined as the percentage increase?The percentage increase would be the difference between the final and initial values expressed as a percentage. In other statements, it is the difference between final and initial values divided by the initial value and multiplied by 100.For the given question;
The original price of the book is $9.95.
The sales tax rate is 9%.
Then, 9% of 9.95 is;
= (9×9.95)/100
= 0.8955
The total cost will become;
Selling cost = original cost + sales cost
Selling cost = 9.95 + 0.8955
Selling cost = 10.84555
or rounding off.
Selling cost = $10.85.
The mistake done by the student is, he multiplied the original cost 9.95 by 1.9 which is incorrect.
Thus, the cost of the book is estimated as $10.85.
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2.
The expression (x^19)(x^-33) is equivalent to (x^p) What is the value of p?
With Equivalent expressions, the value of the p is -14.
According to the statement
We have to find that the value of the p.
So, For this purpose, we know that the
Equivalent expressions are expressions that work the same even though they look different.
From the given information:
The given values is:
(x^19)(x^-33) = (x^p)
Now, use the method of add the terms bcz in this the base will a same then powers will be add.
(x^19-33) = (x^p)
After adding the power of the x become:
(x^-14) = (x^p)
After comparing the both equations,
The values of the p become -14.
Then p = -14.
So, With Equivalent expressions, the value of the p is -14.
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Side ______ is missing, which is a ______
.
Side height is missing, which is a 6[tex]\sqrt{30}[/tex].
For the right angle triangle we have a formula:
[tex]hypotenuse^{2}[/tex] = [tex]height^{2}[/tex] + [tex]base^{2}[/tex]
Here Hypotenuse and the base are given, we have to find the height of the triangle.
Hypotenuse = 37
Base = 17
To find the height of the triangle we have:
[tex]height^{2}[/tex] = [tex]Hypotenuse^{2}[/tex] - [tex]base^{2}[/tex]
= [tex]37^{2}[/tex] - [tex]17^{2}[/tex]
= 1369 - 289
= 1080
Height =[tex]\sqrt{1080}[/tex]
= 6√30
Therefore the height of the triangle is 6√30.
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Brody is older than Nathan. Their ages are consecutive odd integers. Find Brody's age
if the sum of Brody's age and 5 times Nathan's age is 80.
Answer:
41
Step-by-step explanation:
how all work! 1) Find two consecutive odd integers with a sum of 80. Let x= first consecutive integer 39. Let x+2= second. 41. 2x=78 x+x+2= 80. 2x+2=80.
X= 39 & 41
Evaluate each logarithm. log₇7
The simplification of the logarithmic expressions log₇7 is 1.
What is defined as logarithmic expressions?Logarithmic terms represent numbers in logarithmic form. It's also known as a log term.
A quantity can also be defined as the sum of two or much more quantities. As a result, a term may be the product of 2 different or more quantities, one of which must be in log form. Log terms are used in such cases.
A quantity can also be defined as the product of two quantities. As a result, if a term includes a quotient of amount, and at least a single quantities could be articulated in log form, the conditions are referred to mathematically as log terms.
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, as the e=question stated;
= log₇7
Apply the Base Rule for solving the given expression;
So, the expression can be written as
= ㏒ₓ7/㏒ₓ7
Both terms will get cancelled as both have same value with similar base.
= 1
Therefore, the simplified form of the given logarithmic expressions log₇7 is 1.
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Use the distributive property to find the product of 4 (3z+5+2y^2-2x-1). Write your answer in standard form.
The product using the distributive property is 12z+8y²-8x+16 in the standard form.
The distributive law, which states that a × (b + c)=(a × b)+(a × c), is generalized by the distributive property of binary operations.
In every scenario, the distributive property can be summed up as follows:
Each summand (or minuend and subtrahend) is multiplied by this factor, and the resulting products are added, to multiply a sum (or difference) by a factor (or subtracted).
This concept states that multiplying the sum of two addends by a number will produce the same outcome as multiplying each addend separately by the number and then adding the results.
Given product: 4×(3z+5+2y²-2x-1)
Using the distributive property we can write it as:
= (4×3z)+(4×5)+(4×2y²)-(4×2x)-(4×1)
= 12z+20+8y²-8x-4
= 12z+8y²-8x+16
So the product using the distributive property is 12z+8y²-8x+16 in the standard form.
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What is the solution of √5 x+4 - √x=4 ?
The solution is 9.
To find the solution, firstly rewriting the given equation -
√(5x+4) - √x = 4
Now, shifting √x from Left Hand Side to Right Hand side of the equation. Rewriting the equation -
√(5x+4) = √(x) + 4
Taking square of complete equation
(√(5x+4))² = (√(x) + 4)²
Solving the square of equation
5x + 4 = x + 16 + 8√x
Simplifying the equation
5x - x - 8√x = 16 - 4
4x - 8√x = 12
Rewriting the equation
4x - 12 = 8√x
Again taking square on both sides
(4x - 12)² = (8√x)²
16x² + 144 - 2×4x×12 = 64x
16x² + 144 - 96x = 64x
16x² + 144 - 96x - 64x = 0
16x² + 144 - 160x = 0
Dividing the equation by 16
x² + 9 - 10x = 0
x² - 10x + 9 = 0
x² - 1x -9x + 9 = 0
x(x - 1) -9(x - 1) = 0
(x - 1) (x - 9) = 0
x = 1, 9
Keep the value of x in equation to find the solution
x = 1
√(5×1 + 4) - √1 = 4
√(5 + 4) - 1 = 4
√9 - 1 = 4
3 -1 = 4
2 ≠ 4
x = 9
√(5×9 + 4) - √9 = 4
√(45 + 4) - 3 = 4
√49 - 3 = 4
7 - 3 = 4
4 = 4
Hence, the solution is 9.
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You can use the numbers and the units more than once.
Using proportions, some equivalent measurements are given as follows:
1 centimeter - 0.01 meters.1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.3 and 1/3 feet - 40 inches.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.
Each meter has 100 centimeters, hence:
1 centimeter - 0.01 meters.
Each hour has 60 minutes, hence:
1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.Each feet has 12 inches, hence:
3 and 1/3 feet - 40 inches.
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Mrs linesman deposits 500 dollars into a bank account that earns 4 percent simple interest per year what is the total amount in her account after 1 year
she has $520 after 1 year.
Step-by-step explanation:
principal= 500dollars
rate= 4%
time=1 year
simple interest=principal x rate x time
100
simple interest= 500 x 4 x 1 = 2000/100 = 20
100
To find total amount money in the account
= simple interest + principal
= 20 + 500
= 520dollars
A figure is translated 3 units to the right and down 2 units. Select the algebraic
expression that shows how the translation affects the coordinates of the preimage.
Option 2, (x, y) --> (x + 3, y - 2) is the algebraic expression that shows how the translation affects the coordinates of the preimage.
Here, we are given that a figure is translated 3 units to the right and two units down.
Now, if the original coordinates of the figure are (x, y), as given in all the options, let us look at the effect of the transformation.
3 units right the x coordinate will increase by 3 units
thus x becomes (x + 3)
2 units down = the y coordinate will decrease by 2 units
thus y becomes (y - 2)
Hence, the new coordinates of the figure become {(x + 3), (y - 2)} Therefore, option 2, (x, y) --> (x + 3, y - 2) is the correct answer.
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Your question was incomplete. Check for the full content below
A figure is translated 3 units to the right and down 2 units. Select the algebraic expression that shows how the translation affects the coordinates of the pre image.
1. (x, y) --> (x-3, y + 2)
2. (x, y) --> (x + 3, y - 2)
3. (x, y) --> (x + 3, y - 2)
4.(x, y) --> (9x, 3y)
The quotient of 4 and the difference of 7 and a number.
Answer:
10
Step-by-step explanation:
(x + 4)/7=10
The number is -28.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
quotient of a number and 4 is -7
let the number be x
So, n/4 = -7
n= 4 x (-7)
n= -28
Hence, the number is -28.
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A sailfish can swim at speeds of 31.4 meters per second. How far could it travel in a minute?
Answer:
1884 metres per second
31.4meters x 60 seconds = 1,884 speed
---------
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16-36xcuadrada (16-36x2)
A student said that 4 and 1 are the solutions of the problem shown. Describe and correct the student's error.
The student's error is not checking the solutions by keeping the values in problem equation. The correct solution is 4.
Rewriting the equation to find the solution of expression -
√x+2=x
Shifting 2 to Right Hand Side of the equation
√x = x - 2
Taking square on both sides
(√x)² = (x - 2)²
Solving the bracket on both sides of the equation -
x = x² - 4x + 4
Solving the equation for the value of x by factorizing it
x² - 4x - x + 4 = 0
x² - 5x + 4 = 0
x² - 4x - x + 4 = 0
x(x - 4) -1(x - 4) = 0
(x - 4) (x - 1) = 0
x = 4, 1
Keep the value of x to validate the result and find correct solution -
x = 1
√x+2=x
√1 + 2 = 1
1 + 2 = 1
3 ≠ 1
x = 4
√4+2=4
2 + 2 = 4
4 = 4
Hence, the correct solution is 4.
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The complete question is -
A student said that 4 and 1 are the solutions of the problem shown. Describe and correct the student's error. √x+2=x
What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
Answer:
Step-by-step explanation:
A=(3,-6) B=(1,2) C=(7,-1)
Work out the size of one exterior angle of a regular hexagon.
Answer:60 degrees
Step-by-step explanation: hexagon is 360 degrees. has 6 sides. 360 divided by 6= 60 degrees
How many terms are in the following expression?
3xy2 + 4xy -2y + 7x
6
4
5
3
What is the following product? Assume b greater-than-or-equal-to 0
StartRoot b EndRoot times StartRoot b EndRoot
b StartRoot b EndRoot
2 StartRoot b EndRoot
b
b2
It should be noted that the product of ✓b × ✓b = b.
How to calculate the value?From the information, it should be noted that we want to find the product of ✓b × ✓b.
In this case, it's important to multiply the roots
Therefore, ✓b × ✓b = ✓b²
Then, we will rewrite the expression. In this case, it should be noted that the square root will cancel the square.
Therefore, the product of ✓b × ✓b = b.
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Answer:
Step-by-step explanation:
b