how many mg of vitamin c does tomato juice have per serving?
Write the equation in simplest terms
f(g(x))
Disclaimer:
The equations were not given in the question.
So, take random examples for the functions f(x) and g(x) to simplify.
f(g(x)) denotes the composition function.
Important note:
After computing the composition function we must define the domain of the new function.
Example 1:
f(x) = x² and g(x) = x + 4, here the domain of f and g is the set of all real numbers.
⇒ f(g(x)) = f(x + 4) = (x + 4)²
⇒ f(g(x)) = x² + 8x + 16
This new function is also defined for all the real numbers.
Example 2:
f(x) = 5/x and g(x) = x² - 4, here the domain of g is the set of all real numbers and the domain of f is the set of all real numbers except x=0.
⇒ f(g(x)) = f(x² - 4)
⇒ f(g(x)) = 5/(x² - 4) = 5/((x - 2)(x + 2))
The domain for the new function is the set of all real numbers except x=2 and x=-2.
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There are two types of memberships for a book club
- an unlimited use of memebership for $50 per month or
- a monthly fee if $5 per book
Enter an equation needed to determine how many books in a month are needed for both plans to cost the same?
Answer:
9 books are needed for the plans to cost the same
Step-by-step explanation:
50 = 5 + 5x
45 = 5x
x = 9
Step-by-step, please?
Answer:
Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2
= 2c2 + 2c +1
There is a step missing from the solution below. Which equation is the
missing step?
P= √ 100.011x+13
5= 10- √ 0.011x+13
-5= -√ 0.011x+13
?
12 = 0.011x
1091 ≈ x
A. 12 = 0.011x + 13
B. 25 = 0.011x + 13
C. 25 = 0.011x + 169
D. 25 = √0.011x + 13
Answer:
B
Step-by-step explanation:
Ensuring that data is collected the same way each time it is collected is an example of:_______.
Ensuring that data is collected the same way each time it is collected is an example of data consistency.
What is data consistency?In database systems, consistency refers to the requirement that any given database transaction only changes affected data in permitted ways. Data written to a database must be valid according to all defined rules, including constraints, cascades, triggers, or any combination, for the database to be consistent. This operation can be modified per transaction. So, for example, a programmer can specify that only two nodes must read newly input data before recognizing data consistency. Once it crosses that barometer, it is considered consistent data. Data consistency is demonstrated by ensuring that data is collected in the same manner each time it is collected.Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.
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1/5 raised to the power minus 1
Simplification form of 1/5 raised to the power minus 1 is 5.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."
The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.
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The measure of two supplementary angles, ls and lt, are in the ratio of 7:3. find the value of mls.
The value of measure of ls is 126 degrees.
It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.
We have to find the value of measure of ls.
Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.
We know that, the sum of measure of two supplementary angles is 180 degrees.
Hence, according to the data given in the question, we can write,
7x + 3x = 180 degrees
10x = 180
x = 180/10
x = 18 degrees
Hence,
mls = 7x = 7*18 = 126 degrees.
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Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate 7+√40 to the nearest hundredth.
Answer:
13.32
Step-by-step explanation:
7 + 2 [tex]\sqrt{10}[/tex]
= 13.32456
Rounded to nearest hundredth = 13.32
0
latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters. what are the possible numbers of minutes
latoya could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.
Inequality:
Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given,
Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.
Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.
Let t be the number of minutes.
So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:
=> 16 + 5t ≥ 61
=> 5t ≥ 61 - 16
=> 5t ≥ 45
=> t ≥ 45/5
=> t ≥ 9
So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.
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write each expression as a power
5^8 x 25
3^13 x 27
6^15 x 36
2^9 x 32
Answer:
6703488×1810
9
Step-by-step explanation:
3/15 in simplist form
Answer: 1/5
Step-by-step explanation: 3/15 divided by 3= 1/5
The answer is 1/5.
First, You have to figure out if there are any numbers that go into both the numerator and denominator evenly.
This number, in this problem, would be three.
This is because 3/3=1 and 15/3=5.
Given that it asks for a fraction in the simplest form, we of course have order those numbers as numerator and denominator.
The three is the numerator, or, above the fifteen, or the denominator.
This must mean that the one is the numerator.
Because the 1 is the numerator, that must mean the 5 is the denominator, which brings us to the answer.... 1/5
why might a dot plot not be the best choice for graphing
Answer:
Dot plots are hard to construct when dealing with larger, more precise data sets. This makes it difficult to read multiple data points, and it gets very confusing after a while. Therefore, it would not be a good choice for graphing due to its inaccuracy.
Answer:
Dot plot aren't too good for large sets of datas. If you also got many data that are close together, the more you got the harder it will be might to read the data that your doing
Madeline drew a grid of 5 cells in a row.
4.88 4.86 4.84 4.82
Explain how you can use structure to find the missing decimal.
A.Moving left to right, the whole number stays the same and the tenths decrease by 2.
B.Moving left to right, the whole number stays the same and the hundredths decrease by 1.
C.Moving left to right, the whole number stays the same, the tenths decrease by 1, and the hundredths decrease by 2.
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Answer:
D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
A biologist recorded plant heights in centimeters:
23, 21, 3, 31, 27, 28, 32, 24, 30
The outlier is removed from the data set. By how many centimeters does
the range decrease? Help
Answer:
18 cm
Step-by-step explanation:
Range = Largest Number - Smallest Number
We know the following from the original data set:
Largest Number = 32 cm
Smallest Number = 3 cm
Original Range = 32 cm - 3 cm = 29 cm
The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:
Largest Number = 32 cm (Doesn't change)
Smallest Number = 21 cm
New Range = 32 cm - 21 cm = 11 cm
We can compare the two ranges by subtracting the larger range from the smaller range:
Range Difference = 29 cm - 11 cm = 18 cm
Therefore, the range decreases by 18 cm when we remove the outlier.
Question.
Rectangle ABCD is shown above. Which of the following expressions
can be used to determine the length of diagonal AC?
O√64 - w²
O√64+w²
O 64-w²
O 64+w²
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
The correct option is B.
What exactly is the Pythagorean Theorem?The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:
a² + b² = c².
According to the given data:The length of the rectangle = 8
The width of the rectangle = w
The hypotonus of the rectangle = p
Using the Pythagoras formula:
P² = L² + W²
P = √(L² + W²)
Putting the value of Length = 8
P = √(8² + W²)
P = √(64 + W²)
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
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four more than five times x is the same as x increased by 26
Four more than five times x is the same as x increased by 26. The value of x is x=5.5
Given information can be written in the form of algebraic equation is :
5x+4=x+26
5x-x=26-4
4x=22
x=5.5
The equal to (=) symbol is used to unite two algebraic expressions to form an algebraic equation. Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.
A mathematical statement with two equal algebraic expressions is called an algebraic equation. When P and Q are polynomials, the usual form of an algebraic equation is P = 0 or P = Q. Equations in algebra with only one variable are referred to as univariate equations, whereas equations with several variables are referred to as multivariate equations. The solution of an algebraic problem is always balanced.
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Double a number minus five is 11. What is the number?.
Answer:8
Step-by-step explanation: 8 *2=16-5=11
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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write the following sets is roster from and set-builder form 1. set A is the set of the whole numbers less than 5. 2. set B is the set of prime numbers. 3. set C is the set of months that starts with "J". 4. set D is the set of composite numbers less than 10. 5. set E is the set of vowel letters in the word "rhythm".
Answer:
The answer are given below:
Step-by-step explanation:
1. Roaster form
A={0,1,2,3,4}
Set builder form
A={x: x⊂ w, x<5}
2.
Roaster form
B={2,3,5,7,11,13,17,.................}
Set builder form
B={x: where x is a prime number}
3.
Roaster form
C={jan ,june ,july }
Set builder form
C={x: x is month starting with "J" }
4.
Roaster form
D={4,6,8,9}
Set builder form
D={x: where x is a prime number, x<10}
5.
Roaster form
E={null}
Set builder form
E={x: x is null}
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Write an equation of ine that passes through (5,-2) and (7,6) in slope intercept form
The equation of the line i slope intercept form is y = 4x - 22.
What is slope ?Slope is the amount a point moves in y axis upon the amount a point move in x axis.We can also say that slope is rise over run.
According to the given question we have to an equation of line that passes through (5,-2) and (7,6) in slope intercept form.
We know equation of a line in slope intercept form is y = mx + b.
Two points are given (5,-2) = (x₁,y₁) and (7,6) = (x₂,y₂) and we know slope (m) = (y₂ - y₁)/(x₂ - x₁).
∴ slope (m) = { 6 - (-2) }/( 7 - 5)
slope (m) = 8/2
slope (m) = 4.
Now the equation can be written as
y = 4x + b.
Putting any of the given pair of points for x and y in y = mx + b.
6 = 4(7) + b
6 = 28 + b
b = - 22.
∴ The required equation is y = 4x - 22.
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∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-9)^{\circ}∠A=(2x−9) ∘ and m\angle B=(2x+21)^{\circ}∠B=(2x+21) ∘ , then find the measure of \angle A∠A.
==================================================
Work Shown:
A+B = 180 since the angles are supplementary
(2x-9)+(2x+21) = 180
4x+12 = 180
4x = 180-12
4x = 168
x = 168/4
x = 42
Then,
A = 2x-9 = 2*42-9 = 75 degreesB = 2x+21 = 2*42+21 = 105 degreesAs a check, A+B = 75+105 = 180 to confirm the answer.
6j^2-2j-9=0 I need help now
Answer:
6j^2 - 2j = 9
j^2 -(2/6)j = 9/6
j^2 - (2/6)j + 1/36 = 9/6 + 1 /36
(j - 1/6)^2 = 55/36
j - 1/6 = √55/36
j = (√55/36) + 1/6
j = 1.40
Step-by-step explanation:
step 1 transpose 9 and it becomes positive.
step two divide everything by 6 so that j^2 has a coefficient of 1.
step 3 make a perfect square.
Then it's just simple calculations to get the answer
What’s exponent gives you 8
Answer:
There are many exponents that will give you 8.
I will list a few for you. :)
→ 2³
→ 8¹
→ [tex]\sf 4^{1.5}[/tex]
Hope this helps.
please help!
Given an arithmetic progression -8, -3, 2,.... Determine three consecutive terms in this progression which sum up to 111.
Answer:
9th, 10th and 11th terms; 32, 37 and 42=============================
Given AP:
-8, - 3, 2, ...We observe that:
The first term is a = - 8,The common difference is d = -3 - (-8) = 2 - (-3) = 5.Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13The following two terms are:
aₙ₊₁ = 5n - 13 + 5 = 5n - 8aₙ₊₂ = 5n - 8 + 5 = 5n - 3Their sum is 111, set an equation and solve for n:
5n - 13 + 5n - 8 + 5n - 3 = 11115n - 24 = 11115n = 135n = 135/15n = 9The three terms are 9th, 10th and 11th terms and they are:
5*9 - 13 = 45 - 13 = 3232 + 5 = 3737 + 5 = 42Which division problem cannot be solved?
Answer:
The last one -4÷0 cannot be answered
Step-by-step explanation:
Answer:
-4/0
Step-by-step explanation:
This is an undefined answer, due to the fact that it would come out as:
0.00000e00000
This would be an undefined problem.
The area of Ivory’s scaled copy is 48 square units.
Ivory's scaled counterpart has a 48-square-unit area.
Ivory's scale factor for producing their scaled replica is;
On the graph, one interval corresponds to four units of the rectangle. This ratio is 1:4.
We can see from the provided image that the rectangle's y-axis has three intervals and its x-axis has one interval.
Now, the picture informs us that the scaled copy's area is 48 square units.
This indicates that the triangle she is attempting to depict with that graph has an area of 48 square units.
Now, if one of the graph's intervals is in units of x, then it indicates;
Y-axis: length; 3x units
size; x-axis equals x units
A rectangle's area is
based on the formula Area = Length Width, 3x [tex]\times[/tex] x = 48.
1 interval on the graph corresponds to 4 units of the rectangle because 3x2 = 48 x2 = 48/3 x2 = 16 x = 16 x = 4.
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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
What is inferential statistics?Statistical inference is the method of using data analysis to infer characteristics of a probability distribution. Inferential statistical analysis deduces population properties, for example, by testing hypotheses and generating estimates. The observed data set is assumed to be a sample from a larger population. Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.Descriptive statistics is only concerned with the properties of the observed data and does not assume that the data come from a larger population. Inferential statistics differ from descriptive statistics.Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
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c. Write an equation for which every real number is a solution. Choose the correct answer below.
OA. 7(x-2)=2(x-7)
OB. 2(x-7)=2(x-7)
OC. x+2=x+7
Let the vector v have an initial point at (6, 3) and a terminal point at (2, 2).
Determine the components of vector V.
√17 unit is the components of vector V .
what is components of vector?
A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.
The initial and terminal points of a vector v are given by
(6, 3) and (2, 2).
Hence:
The component form of v is
V = ( 2 - 6) ( 2 - 3)
= ( -4 , -1)
The length of the vector is
l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex] = √17 unit
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