Answer:
Stop please. You use brainly for answering and asking questions.
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.
A tire swing hangs 12 feet above the water. A swimmer is 40 feet away from the swing (horizontally). What is the angle of elevation from the swimmer to the tire swing?
Draw a picture!
You get a right triangle with hypotenuse = 20 ft and horizontal leg = 12 ft
Use the Pythagorean Theorem to find the length of the vertical leg:
vertical leg = √(20²-12²) = √256 = 16 ft
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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given that the mass of the sun is approximately 1.9 ×10 to the 30 power kg , how many Venuses and Earth's would it take to equal the mass of the sun
Given that,
Mass of earth = 5.9 × 10²⁴ kg
Mass of = 4.9 × 10²⁴ kg
a) Combined mass of earth and
5.9 × 10²⁴ + 4.9 × 10²⁴ = 10.8 × 10²⁴
b) If the mass of the sun = 1.9 × 10³⁰
Let's say the total gain of earth and combined x
so it will equal the mass.
Then,
10.8 × 10²⁴ + x = 1.9 × 10³⁰
x = 18989.2 kg
Hence "Combined mass of earth and venues is 10.8 × 10²⁴ and there are a total of 18989.2 kg taking earth and venue to equal to the sun.
Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
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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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Which graph correctly shows the system of equations {x−2y=4y=2x+4?
Which graph correctly shows the system of equations [tex]\left \{ {{x-2y=4} \atop {y=2x+4}} \right.[/tex] ?
Correct graph for the system of equations is 3rd graph.
We graph the collection of ordered pairs that make up the equation's solution when graphing a system of equations in two variables.
The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.
First, we take the equations as x-2y=4 as equation (1) and y=2x+4 as equation (2).
Now solve the equation (1)
x-2y=4
The equation is not in the form of y=mx+c.
So, we write as y= [tex]\frac{1}{2}[/tex]x-2
Here, slope m=[tex]\frac{1}{2}[/tex] and y-intercept is (0,-2).
If we take x=2 we get y=-1.
y= [tex]\frac{1}{2}[/tex](2)-2
y=1-2
y=-1
Now we have 2 solution for the equation (1) that are (0,-2) and (2,-1).
If we see the third graph in the given options.
There is a blue straight line and that is the line for equation (1) there we can see the points (0,-2) and (2,-1).
Now solve the equation (2)
y=2x+4
The equation is in the form of y=mx+c.
Here, slope m=2 and y-intercept is (0,4).
If we take x=1 we get y=6.
y= 2(1)+4
y=2+4
y=6
Now we have 2 solution for the equation (2) that are (0,4) and (1,6).
If we see the third graph in the given options.
There is a green straight line and that is the line for equation (2) there we can see the points (0,4) and (1,6).
Therefore, the correct graph for the given system of the equation[tex]\left \{ {{x-2y=4} \atop {y=2x+4}} \right.[/tex] is the third graph.
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6. Which biconditional is not a good definition?
A. Two angles are supplementary if and only if the sum of their angles measures 180 degrees.
B. Two angles are vertical angles if and only if they are nonadjacent and are formed by two intersecting lines.
C. Two angles form a linear pair if and only if the angles are adjacent.
D. The sum of two angles is 90 degrees if and only if they are complementary.
------------------------------------------
11. Use the Law of Syllogism to determine whether a valid conclusion can be reached from the set of statements/ If a valid conclusion is not possible, choose "not possible."
If you are 18 years old, then you are in college.
If you are in college, then you are not done learning.
A. You are at least 18 years old.
B. If you are 18 years old, then you are not done learning.
C. You are no more than 18 years old.
D. not possible
-------------------------------------------------
12. Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
If you are 18 years old, then you may be eligible to join the U.S. military.
A. if you are eligible to join the U.S. military, then you are 18 years old; true.
B. If you are not 18 years old, then you are not eligible to join the U.S. military; true
C. If you are eligible to join the U.S. military, then you are 18 years old; false.
counterexample: You are eligible to join the U.S. military and you are not 18; you are 19.
D. if you are not 18 years old, then you are not eligible to join the U.S military; false.
counterexample: You are eligible to join the U.S. military and you are not 18; you are 19.
----------------------------------------
Best answer will get brainliest.
The correct response is [C]: If and only if the angles are nearby, two angles form [a] linear pair.
Think about the response option shown in "Answer choice: [C]":
If and only if the angles are contiguous, two angles constitute a linear pair.
Then, think about the next:
1) "Two additional angles make a linear pair."
Is this a fact? Of course, but not always. (In other words, "sometimes") By definition, a "linear pair" of angles IS supplementary, but not all supplementary pairs of angles are linear pairs. In order for supplementary angles to also be "linear angles," they MUST ALSO BE ADJACENT.
2) "Two vertical angles are next to each other." Is this a fact? It's not true; it never is.
In light of the fact that this biconditional is NOT an acceptable definition, answer choice "C" is the one that is appropriate. This can be determined by looking at all the other options.
Think about the other response options:
The maxim "Two angles are supplementary if and only if the total of their angles measures 180" is the correct response.
is WRONG despite being a nice definition:
1) The total of the measurements of two additional angles is 180 degrees.
2) Two angles are supplementary if the total of their measurements equals 180 degrees.
"Two angles are vertical angles only if they are not close to one other and are produced by two intersecting lines," is the correct response (option B);
is WRONG despite being a nice definition:
1) Nonadjacent angles are those created by two crossing lines when two angles are vertical.
2) Two angles are vertical angles if they are nonadjacent angles created by two intersecting lines.
The sum of two angles equals 90 if and only if both angles are complementary (answer option [D]);
is WRONG despite being a nice definition:
1) The total of two complimentary angles' measurements equals 90 degrees.
2) Two angles are complimentary if the total of their [measured] is 90 degrees.
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3(4x—8)=36
I need help ASAPP
Answer:
x=5
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
4x - 8 = 4 • (x - 2)
Equation at the end of step
2
:
(0 - 12 • (x - 2)) - -36 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
60 - 12x = -12 • (x - 5)
Equation at the end of step
4
:
-12 • (x - 5) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
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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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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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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The points K(6,-4) L(6,3), M(-2,6) and N(-2,-1) form parallelogram KLMN. Plot the points then click the "Graph Quadrilateral" button. Then find the perimeter of the parallelogram. Round your answer to the nearest tenth if necessary.
Answer:
31 units
Step-by-step explanation:
Use the Change of Base Formula to rewrite each expression using common logarithms. log₃ 16
The logarithmic expression log₃ 16 changed by the base rule is 2.52.
What is represent as logarithmic expression?The inverse about an exponential function is a logarithmic or log function. To find an exponent, we could use a log function.
To analyze earthquake magnitudes or compare the magnitudes of 2 distinct earthquakes, we must be able to transform among logarithmic and exponential forms.
Let's use this data to create our log. The logarithmic function is as follows:
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, for the stated conditions;
= log₃ 16
Using the Base Rule of log functions, the above expression can be written as,
= ㏒ₓ16/㏒ₓ3
If the base is taken as 10. Then the expression will become.
= ㏒₁₀16 /㏒₁₀3
= 1.204/0.477
= 2.52
Therefore, the value of the given log expression log₃ 16 is obtained as 2.52.
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Mikel was on a diving trip. He dove down 108 feet below sea level 6 minutes. How many feet per minute did Mikel travel on his dive?
Answer:
Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet.
Step-by-step explanation:
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
-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
What is the horizontal asymptote for the rational function?
b. y=x-1/x²+4 x+4
For the given rational number, y=x-1/x²+4 x+4
Vertical Asymptotes: x= - 2
Horizontal Asymptotes: y = 0
What are the asymptotes?
A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.
Given,
y=x-1/x²+4 x+4
y = x-1 / (x+2)²
x = -2, x = 0
So the horizontal asymptote will be 0.
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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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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
The system of equations has exactly one solution.
How to calculate the value?Based on the information given, the equation is illustrated as:
2x - 3y = -4
-3x - 3y = 3
Add both equations
5x = -1
Divide
x = -1/5
Since 2x - 3y = -4
2(-1/5) - 3y = 4
-2/5 - 3y = 4
3y = -2/5 - 4
3y = - 4 2/5.
Divide
y = -4 2/5 ÷ 3
y = 1 7/15
Therefore, the system of equations has exactly one solution as the value of x and y are gotten.
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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
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
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
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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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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How many terms are in the following expression?
3xy2 + 4xy -2y + 7x
6
4
5
3
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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Using the number 12,345.6789 to round to the nearest whole number
Answer: 12346
Step-by-step explanation:
Firstly, to round the decimal number 12345.6789 to its nearest whole number we will look at the tenth place. the digit to the immediate right of the decimal point.
Here in the given example 12345.6789, the tenth digit is 6.
If the tenth place digit is equal to or more than 5 we will round up and if it is less than 5 we will round down.
If the hundredth digit of the decimal number is equal to or more than 5, then round up.
Since the tenth digit 6 is >= 5 we will round up i.e. ( ones place digit + 1 ) and the remaining all digits next to the decimal point are removed.
Therefore, the number 12345.6789 rounded to the nearest whole number is 12346. if this is wrong im sorry but i think this is how i even double checked.
The ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were
477 more students than adults at the prom. If the school is expecting the same attendance this year, how many
adults have to attend the prom?
The number of adults who have to attend the prom are 53
According to the question we have been given the ratio of number of adults to the number of students attending the prom which is :
[tex]\frac{x}{y} = \frac{1}{10}[/tex] (1)
where, x = number of adults
and y = number of students attending the prom
Now equation (1) can be written as
y = 10x (2)
That is number of students that attend the prom will be 10times the number of adults.
Now we have been given that there were 477 more students
y = x + 477
Now putting the value of y from equation (2) we get
10x = x+477
9x = 477
x = 53
Thus if the school is expecting the same attendance this year, then total 53 adults have to attend the prom.
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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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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)