Answer:
Step-by-step explanation:
20% can be written as a fraction
20% = 20/100
20/100 = 1/5
5.26 x 1/5
1 x 5.26/ 5
5.26/5
1.052 = 1.05
Old price : $5.26
New price : $6.31
Increase : $1.05
Solve each equation. If necessary, round to the nearest ten-thousandth. 9²x=42
The solution of the given equation by rounding off it to the nearest ten-thousandth is 0.5185.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation 9²x = 42
As given equation is 9²x = 42
81x = 42
x = 42 / 81
= 14 / 27
= 0.5185
Hence, the solution of the given equation is 0.5185.
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9 over 10 plus - four over five
Answer: 1 and 7 over 10
Step-by-step explanation:
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10} + ( -\frac{4}{5} )[/tex]
change the fraction [tex]( -\frac{4}{5} )[/tex] to[tex]( -\frac{8}{10} )[/tex]
I multiplied both the denominator and numerator by 2
[tex]\frac{9}{10} + ( -\frac{8}{10} )[/tex]
simplify the negative
[tex]\frac{9}{10} -\frac{8}{10}[/tex]
subtract the numerator not the denominator
[tex]\frac{1}{10}[/tex]
Which system of linear inequalities is graphed?
S x < -2
ly≤-x+2
O
J x ≤-2
y≤-x-3
S. x < -2
y≤ x 2
-
{
√ x < −3
С
According to the question, to graph the linear inequality expressions then the given expressions should be equal to the respective number.
In the first equation that is: x<-2 or x = -2
The given expression can be drawn in the second quadrant when the value of the x-axis is negative and it is a straight line which tends to infinity.
In the second equation that is: y ≤ x+2 or y = x+2
The given expression can be drawn in the first as well as in the second quadrant when the value of the x-axis is negative as well as positive and it is a straight line which tends to infinity.
Similarly, in the third equation that is: y ≤ x-3 or y = x-3
The given expression can be drawn in the first as well as in the second quadrant when the value of the x-axis is negative as well as positive and it is a straight line which tends to infinity.
What is linear inequality?
Linear inequalities are those expressions in which comparison between the variables is performed. And the comparison can be done between two values or between the two expressions. It uses the symbols of the inequality like greater than, equal to, etc.
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If the sum of squares of the roots of the equation x² - 3ax + a² = 0 is equal to 4, find the value of a.
The value of a is 2/√7.
The given quadratic equation is x² ₋ 3ax ₊ a² = 0
sum of the roots of the equation = 4
here, A = 1
B = 3a
C = a²
Let α and β be the roots of the equation.
α ₊ β = ₋B/A
= ₋3a/1
= ₋3a
⇒ α×β = C/A
= a²/1
= a²
⇒α² ₊ β² = (α ₊ β )² ₋ 2αβ
= (₋3a)² ₋ 2(a²)
= 9a² ₋ 2a²
therefore, 7a² = 4
a² = 4/7
a = √4/7
a = 2/√7
Hence we found the value of a as 2/√7.
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1. If h(x)=x² + 3x - 1, what is h(-4)?
(1) 27
(3) -5
(2) 3
(4)
−1
A bicycle costs $175. salvadore has $55 and plans to save $18 each month. describe the number of months he needs to save to buy the bicycle. 1. choose the correct inequality to represent this situation. 2. choose the correct solution set.
Answer:
Step-by-step explanation:
55+18x=175
-55+18x=-55
18x= 120
Divide by 18
X=6,666666
So it will take 7 months
Function f(x) is defined the following way:
- if x is an integer, then f(x)=x+1
- for all other x, f(x)=x+2
Is the inverse of f(x) a function? Explain.
The inverse of the function will be:
if x is an integer, then f⁻¹ (x) = x - 1
for all other x , f⁻¹ (x) = x - 2
We are given the function as:
if x is an integer, then f (x) = x + 1
for all other x , f (x) = x + 2
Now, we need to find the inverse of the function.
We will do it in 2 parts.
First we will find the inverse of f (x) = x + 1 and then of f (x) = x + 2.
For f (x) = x + 1:
y = x + 1
y - 1 = x
x = y - 1
f⁻¹ (x) = x - 1
For f (x) = x + 2
y = x + 2
y - 2 = x
x = y - 2
f⁻¹ (x) = x - 2
Therefore, the inverse of the function will be:
if x is an integer, then f⁻¹ (x) = x - 1
for all other x , f⁻¹ (x) = x - 2
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Write each logarithmic expression as a single logarithm.
1/2 (logx4 + logx y) - 3 logx z
The value of logarithmic expression 1/2 (logx4 + logx y) - 3 logx z as a single logarithm is (log4x^2y)^1/2/logx z^3
By considering the given logarithmic expression
1/2 (logx4 + logx y) - 3 logx z
=1/2 (log4x^2y)-3 logx z
=(log4x^2y)^1/2- logx z^3
=(log4x^2y)^1/2/logx z^3
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.
Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).
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In a bag of potato chips, the number of chips considered to be the serving size is 80 calories. Eating 5 less chips than twice the serving size would be 120 calories. Assuming this relationship is proportional,
determine how many calories are in just one of these potato chips.
Answer: 115
Step-by-step explanation: because if you subtract 120 - 5 you get 115 so its 115
15+4a=7a
what is the value of a?
[tex]{\huge\color{green}{\boxed{\fcolorbox{white}{black}{꧁ANSWER꧂}}}}[/tex]
15+4a=7a
15=3a
3a=15
a=15/3=5
The solution of the linear equation with single variable 7a = 15 + 4a will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
15 + 4a = 7a
Simplify the equation, then we have
7a = 15 + 4a
7a - 4a = 15
3a = 15
a = 15 / 3
a = 3
The solution of the linear equation with single variable 7a = 15 + 4a will be 3.
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)The following are the ages (years) of 5
people in a room:
23, 20, 15, 12, 17
A person enters the room.
The mean age of the 6 people is now
19.
What is the age of the person
who
entered the room?
Answer:
The age of the person who entered the room is 27
Step-by-step explanation:
If there are 6 people and the mean is 19 you would need to multiply 19 by 6. You will get 114 and now you just subtract the age of the others. 114-23-20-15-12-17=27.
Evaluate 7p+8=12-3p how do I solve it
Answer:
p = 2/5
Step-by-step explanation:
[tex]7p+8=12-3p \\ \\ 10p+8=12 \\ \\ 10p=4 \\ \\ p=2/5[/tex]
please answer this for me
Answer:
its b:0.0333! (srry if its wrong)
Step-by-step explanation:
A hot fub filled with 150 gallons of water must be drained. The water drains at a rate of 6 gallons per minute. how many minutes have passed when there are exactly 60 gallons left in the hot tube?
Tt would take 15 minutes for there to be exactly 60 gallons in the hot tube.
What is proportion?Proportion can be defined as the mathematical comparison of two numbers.
It is also known as an equation defining that the two given ratios are equivalent to each other.
From the information given, we have the following deductions;
There are 150 gallons of waterThe water drains at a rate of 6 gallons per minuteTo determine the time taken for 60 gallons to be left in the hot tube, we have to subtract the number from the total number of gallons, we have;
= 150 - 60
Find the difference
= 90 gallons
Now,
If 6 gallons are drained in 1 minute
Then 90 gallons are drained in x minutes
cross multiply
x = 90/ 6
x = 15 minutes
Thus, it would take 15 minutes for there to be exactly 60 gallons in the hot tube.
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The stadium's seating options will include premium seats (boxes closest to the action), medium-priced seats, and budget-friendly bleachers. Your design calls for 4,500 upper-deck premium seats and 7,500 lower-deck premium seats. The team's policy is to have a 3:2 ratio of premium seats to bleacher seats. How many bleacher seats will the stadium include?
The number of bleacher seats that the stadium will include will be 8000 seats.
How to calculate the ratio?In this situation, the The team's policy is to have a 3:2 ratio of premium seats to bleacher seats.
Therefore, the total number of premium seats are:
= 4500 + 7500
= 12000
The number of bleachers will be:
= 2/3 ×12000
= 8000
Therefore, the number of bleacher seats that the stadium will include will be 8000 seats.
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I need help please, do any of you know it?
Answer:
No
Step-by-step explanation:
If you substitute, you get
2(5) - 10 >= 3
10 - 10 >= 3
0 >= 3, which is false!
please i need help the answer choices are in the picture with the question!
The quotient should have four significant digits, which is the number of significant digits required to divide the numbers into equal parts.
Consider the two numbers,
2.058 × 10⁹ and 3.0571 × 10⁻⁴
Now, let x = 2.058 × 10⁹ and;
y = 3.0571 × 10⁻⁴
When we dived these two equations.
( x / y) = [ 2.058 × 10⁹ / 3.0571 × 10⁻⁴ ]
The significant digits in the number with the smaller number of significant digits should be used to determine the number of significant digits in a quotient where two numbers are divided by one another.
Here, 2.058 × 10⁹ is the figure with the fewer significant digits.
Since 0 comes after non-zero numerals, this number has four meaningful digits.
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Find the center of the ellipse.
x^2+36y^2-16x-72y+64=0
Answer:
8,1 is the correct answer
2, 8, 14, ...
Find the 42nd term.
Solving the Question
We're given:
2, 8, 14, ...First, we must identify the pattern:
The first term is 2. Add 6 each time to get the next term.This is our written pattern statement. To convert this into an expression, we can use the following format:
[tex]mn+b[/tex]
m is the number that we add each timeb is our zeroth term value, the number that comes prior the first term in the given patternn is the term numberIn this case, m is 6, and b is 2 - 6, or -4. Plug these numbers into the expression:
[tex]6n+(-4)\\6n-4[/tex]
To find the 42nd term, plug in 42 as n:
[tex]6n-4\\6(42)-4\\248[/tex]
AnswerThe 42nd term is 248.
a₄₂= 248.
An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.
If the initial term of an arithmetic progression is a and the common difference of successive members is d, then the n-th term of the sequence
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
6
to the previous term in the sequence gives the next term. In other words,
aₙ= a₁+ d (n-1)
substitute in the values of a₁=2 and d=6
simplify each term
aₙ= 6n-4
substitute and calculate you will get
a₄₂= 248.
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A 2 N and 6 N pull on an object to the right and a 4 N force pulls to the left a 0.5 kg object. What is the net force on the object ?
If a 2 N and 6 N pull on an object to the right and a 4 N force pulls to the left a 0.5 kg object. The net force on the object is: 4N.
Net forceFirst step is to calculate the force to the right
Force to the right = 2N+6N
Force to the right = 8N
Second step is to calculate the net force on the object using this formula
Net force= Force to the right- Force to the left
Where:
Force to the right = 8N
Force to the left = 4N
Let plug in the formula
Net force= 8N - 4N
Net force= 4N
Therefore if a 2 N and 6 N pull on an object to the right and a 4 N force pulls to the left a 0.5 kg object. The net force on the object is: 4N.
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hello, i am doing an assesment and i was wondering if i could have some help
Answer:
The absolute value of -5 is 5, it's positive opposite.
Have a fantabulous day <3
Answer:
5
Step-by-step explanation:
the only real math to absolute value is if it negative make it not.
-10-9-
4
10
69
8+
7
6
5
4
m
19
Answer:
your question is empty please give right questions to get answers
Explain Mean, Mediam, and mode as funny as you can
Answer: I think this is it
Step-by-step explanation:
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.
please help
4. What is 7/4 as a mixed number? A. 3/4 B. 114 C. 174 D. 134
Answer:
1 3/4
Step-by-step explanation:
Answer: Option D
Step-by-step explanation: Explanation:
7/4 is an improper fraction. Let's take the numerator and divide it by the denominator.
Divide 7 by 4. The quotient digit is 1.
Multiply the quotient digit 1 by the divisor 4.
Subtract 4 from 7.
The result of 7 divided by 4 is 1 with a remainder of 3.
Thus, 7/4 as a mixed number can be written as 1 3/4.
Ryan is working two summer jobs, babysitting and walking dogs. He must work at least 9 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours walking dogs, dd, that Ryan can work in a given week.
The inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours walking dogs, dd, that Ryan can work in a given week is b + d >= 9.
How to illustrate the information?From the information, Ryan is working two summer jobs, babysitting and walking dogs. He must work at least 9 hours altogether between both jobs in a given week.
Therefore, the inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours walking dogs, d, that Ryan can work in a given week will be:
Babysitting + Walking dogs >= 9
b + d >= 9
Therefore, the inequality is b + d >= 9.
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Adding Polynomials:
10x-18x²³ +6x²-2) +(-7x²)+5+ x + 2x³²)
3
6x4
+(-7x4)
-x4
10x
-18x3
+2x³
+ X
-16x3
11 x
-x-16x³ +11x +3
3
-2
ง
+5
3
Describe what is happening in each step
STEP 1:
STEP 2:
STEP 3:
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
y = x³ + 2x +5
z = x² + 7x + 1
To find: Value of 2y + z in terms of x
Finding:
Now, 2y = 2 (x³ + 2x + 5) = 2x³ + 4x + 10
Then, 2y + z = 2x³ + 4x + 10 + x² + 7x + 1
=> 2y + z = 2x³ + x² + 11x + 11
Hence, Option C is the correct option.
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PLS ANSWERR i’ll mark you the BRAINLIEST!!!!
when referring to the sequence: 1,4,9,16,25,… identify the possible pairs obtained when rewriting the position and sequence values as a coordinate points.
The possible pairs when rewriting the position and sequence values are (d) (1, 1), (2, 4), (3, 9), (4, 16), (5, 25)...
How to determine all possible pairs when rewriting the position and sequence values?The sequence is given as
1, 4, 9, 16, 25...
The position and sequence values of the above sequence are
1, 2, 3, 4, 5...
1, 4, 9, 16, 25...
When represented as an ordered pair, we have
(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)....
Hence, the possible pairs when rewriting the position and sequence values are (d) (1, 1), (2, 4), (3, 9), (4, 16), (5, 25)....
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29. What is the width of the rectangle written
as an exponential expression?
2-1 m
Area = 2-4 m²
? m
The width of the rectangle as an exponential factor whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter.
As per the question statement, we are given a triangle whose length is 2^(-1) m and Area is 2^(-4) m^2 is 2^(-3) meter. We are supposed to find out the width of the rectangle as an exponential factor.
Before solving the question, we should know the formula for calculating the area of the rectangle
Area = Length * Width
Given Area = 2^(-4) m^2
Given Length = 2^(-1) m
Let Width = "x" m
2^(-4) = 2^(-1) * x
2^(-4)/2^(-1) = x
2^(-4+1) = x
2^(-3) = x
Hence width of the given rectangle as an exponential factor is
x = 2^(-3) meter
Exponential factor: An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent.Area: The space occupied by any figure, object or body whether 2D or 3D.To learn more about exponential factor, click on the link given below:
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Simplify each expression. Rationalize all denominators. 4√7xz+2 √7xz
All denominators are =[tex]6\sqrt{7xz}[/tex].
The phrase simplifies manner to make something simpler to do or recognize. So, by decreasing or simplifying the fractions method we make the fraction as simple as feasible. We do this by dividing the numerator and the denominator with the aid of the most important range that could divide into both numbers precisely.
The only form is likewise known as the decreased form of a fraction. for instance, ¾ is the most effective shape of a fraction that has a not unusual thing equal to 1. but 2/4 is not the most effective form, because 2/four can in addition be simplified and written as ½.
Step one is to perceive a common issue between the denominator and numerator. The denominator and numerator are each divided by the commonplace thing. The department operation is repeated until there are not any extra elements. The fraction is said to be simplified if no greater factors go out.
[tex]4\sqrt{7xz} +2 \sqrt{7xz}[/tex]
Add similar elements :
[tex]4\sqrt{7xz} + 2\sqrt{7xz}[/tex]
[tex]= 6\sqrt{7xz}[/tex]
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painting worth $3000 in 2016 $4652 in 2021
if x=years since 2015 y=$ value
write an equation in point slope,
predict value in 2030
The equation for the value of the painting of the years is y = 3000 + 330.4(x).
The estimated worth of the painting in 2030 is $7956.
In 2016, the worth of the painting is $3000.
In 2021, the worth of the painting is $4652.
The increase in worth in 5 years from 2016 to 2021 is:
= $4652 - $3000 = $1652
Hence, the increase in painting worth per year will be:
= $1652 / 5 = $330.4
Now, if x is in years and y is the worth of the painting in $.
Then, the equation for the worth of a painting is:
y = 3000 + 330.4(x)
From 2015 to 2030 the span is 15 years.
Then, the value of the painting in 2030.
So,
y = 3000 + 330.4(x)
y = 3000 + 330.4 × 15
y = 3000 + 4956
y = $7956
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