Answer:
An exponent refers to the number of times a number is multiplied by itself.
Step-by-step explanation:
For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
Tell whether each equation has no solution, one solution, or infinitely
many solutions.
a. 1+3x = 3x + 1
b. 4x + 1 = 3x + 2
c. 5x + 1 = 5x - 2
d. -3(x+1)=-3x+3
Conving is not permitted.
LESSON 11
Answer:
see below
Step-by-step explanation:
a. 1+3x = 3x + 1 --> infinite, it's the same thing
b. 4x + 1 = 3x + 2 --> x=1 one solution
c. 5x + 1 = 5x - 2 --> no solution. it's not possible
d. -3(x+1)=-3x+3 --> x=-1, one solution
For which sample size (n) and population parameter (p) can a normal curve be used to approximate the sampling distribution? O A. n = 30; p = 0.2 OB. n = 30; p = 0.3 O C. n = 40; p = 0.3 O D. n = 40; p = 0.2
The normal approximation to the binomial distribution is possible in the following case: C. n = 40; p= 0.3
When can we use the normal approximation to the binomial distribution?The binomial distribution is defined as the probability of x successes on n trials, with (p) probability of a success on each trial. It can be approximated to the normal distribution with the formula;
Mean; μ = np
Standard deviation; σ = √(np(1 - p)
The conditions are;
np ≥ 10
√(np(1 - p) ≥ 10
Looking at the given options, the only one that fits this conditions is Option C because;
np = 40 x 0.3 = 12.
n(1 - p) = 40 x 0.9 = 36
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4. The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer: 10 made the honor roll
Step-by-step explanation:
How do I make a table of values?
The relationship between data items is displayed using tables of values. In science class, you might utilize a table of values. Some methods are explained.
Write the method to prepare a table?Tables of values are used by scientists and researchers to record their data, which is then examined for patterns. Then, they can use this pattern to make predictions.
A table of values might be used, for instance, by an arceologist tracking earthquake activity.Movement underground in relation to a fault line's location. Then, she could estimate the movement's perceived distance using the table.Some steps to prepare the table are-
A linear equation can be converted into a table of values by solving for y while substituting values for x.Simplify the equation after substituting each pair of x- and y-values to see if it accurately represents the data in the value table. If every statement you receive is accurate,The data are represented by the equation.To know more about the table, here
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1. When you hear the word MONEY what's the first thing that comes to mind?
Answer:
I think of bills/notes.
Step-by-step explanation:
Money is the mode or medium of exchange for goods and services.
What is currency?Currency is a type of money that is used as a medium of exchange in a specific country or region. It is a standardized unit of value that is accepted as payment for goods and services within the jurisdiction where it is used. Currency can take the form of physical banknotes and coins, or digital representations of money that can be used for online transactions.
Here,
Money is medium of exchange or a unit of account that is used to purchase goods and services. It is a tangible or intangible asset that represents value and is accepted by individuals, businesses, and governments in exchange for goods or services. Money is a fundamental component of modern economies, and its importance cannot be overstated.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,
⇒ x²+ (y - 6)² = 36
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We know that;
The standard form for finding the equation of a circle is expressed as;
⇒(x - a)² + (y - b)² = r²
where; (a, b) is the center of the circle and r is the radius of the circle.
Here, we have;
⇒ Diameter = 12 units
⇒ Radius = 12/2 = 6 units
Since, The center lies on the y-axis,
Hence, the center will be at (0, 6).
Substituting into the formula, we will have;
⇒ (x - 0) + (y - 6)² = 6²
⇒ x² + (y - 6)² = 36
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How do you find 3 dimensional space?
Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object. These three coordinates are known as length, width, and height. It can also be referred to as x, y, and z coordinates.
1. Understand the concept of three-dimensional (3D) space. Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object.
2. Identify the three coordinates. These three coordinates are known as length, width, and height. They can also be referred to as x, y, and z coordinates.
3. Determine the coordinates of a specific point. To find the exact coordinates of a point in 3D space, you must determine the length, width, and height of that point.
4. Use the coordinates to calculate the distance between two points. To calculate the distance between two points in 3D space, you must use the Pythagorean Theorem to determine the length of the hypotenuse.
5. Visualize the 3D space. To better understand 3D space, you can use tools such as 3D modeling software to create a virtual representation of the space.
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Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC
Answer:
121
Step-by-step explanation:
3x + 94 + x + 36 + 2x - 4 = 180
6x + 126 = 180
6x = 54
x = 9
m<AOC = 3x + 94
m<AOC = 3(9) + 94
m<AOC = 121
missy flipped a coin 50 times. she flipped heads 26 times and tails 24 times. what is the experimental probability that the next flip will be tails
50%
because a coin only has 2 sides, resulting with a 50/50 chance of either option
Can you form a triangle using lengths 3/4 and 7?
It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.
In the given question, we have to check that it is possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.
To check this we firstly add the 3 and 4
3 + 4 = 7
7 = 7
Now we add 3 and 7
3 + 7 > 4
10 > 4
Now we add 4 and 7
7 + 4 > 3
11 > 3
It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.
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The complete question is:
Can you form a triangle using lengths 3cm 4 cm and 7 cm?
What is the relationship between cardiac output and intensity of exercise?
There is a linear relationship between exercise intensity and cardiac output. Therefore, when one rises, the other rises as well.
Cardiac output quantifies the volume of blood that your heart can pump in a minute. The phrase "exercise intensity" refers to how hard your body is working throughout a workout. These two are directly related to one another in some way.
The increase in cardiac output is linearly associated with exercise intensity up until the point of exhaustion. This happens as a direct result of the interaction between the heart rate and stroke volume reactions to the intensity of activity. Therefore, cardiac output will increase as exercise intensity does.
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There is 50 people with their probabilities that pick a season of the year
Someone picking spring: 18/50: 36%
Someone picking summer 16/50: 32%
Someone picking fall 4/50: 8%
Someone picking winter: 12/50: 24%
What is the probability that two people in a row have chosen fall?
Out of 50 people, there are 50C5 = 50!/(5!*45!) ways to select 5 of them.
A probability simple definition is what?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
How many of those methods involve picking a particular person (you)? If you are selected, there are only 4 more options left out of the remaining 49. There are thus 49C4 = 49!/(5!*44!) ways to select both you and the other 4 individuals.
Therefore, (49C4)/(50C5) = 1/10 is the probability.
The probability that you are one of the five individuals chosen from 50 is 5/50, or 1/10, as a second check.
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Griffen's house is 40 feet by 20 feet. He is building an attached deck that is x feet long and 13 as wide as it is long. Use the drop-down menus below to complete statements using words and symbols to describe the total area in square feet of the house and deck. CLEARCHECK Using Words The total area of the house and deck is given by the sum: + . Using Symbols The total area of the house and deck is given by the sum: ft² + ft².
Answer:
Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .
Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².
Step-by-step explanation:
I know that the sequence models the value of a car that originally cost $26,500 but loses 10% of its value each year. What do you know?Common ratio or difference : Explicit equation : Recursive equation :
Recursive equation :
A equation for one term that depends on another. If we want to generalize this sequence, we can achieve this by first defining the first term and then describing how the subsequent terms relate to one another. Recursive representation of a sequence occurs when the connection between its succeeding terms is described.Thus,
For the given question;
Common ratio or difference : 90% or 0.9.
first term = $26,500.
Thus, Recursive equation : f(n) = f(n - 1) + 9
Explicit equation :
Based on the term number, a formula for just any term.We explicitly represent a series when we have a formula that allows us to find any term as in sequence without considering any other terms.Thus,
Explicit equation : f(n) = 26,500 + (n - 1)(0.9).
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What is the exponential form of 3 4?
The given statement "number 3 to exponent 4" in exponential form is be written as 3⁴ , and the value of this expression is 81 .
The Exponential expression represented as "xⁿ" is read as the number x multiplied by itself "n" number of times .
we have to write "3 to exponent of 4" in exponential form ,
So , the exponential form is 3⁴ , it means that the number 3 is multiplied itself four times ;
the value of this expression is calculated as :
⇒ [tex]3^{4} = 3\times 3\times 3\times 3[/tex]
⇒ [tex]9\times 9[/tex]
⇒ 81 .
Therefore , the exponential form of "3 to the exponent of 4 " is 3⁴ .
The given question is incomplete , the complete question is
What is the exponential form of 3 to the exponent 4 ?
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I need help with classifying this triangle!!
Answer:
Should be right and scalene
Which ordered pair is in the solution set of the following system of inequalities
y≤ 3x+1
x-y>1
Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).
An explanation of inequalityAn inequality in mathematics is a relationship between two concepts or variables that isn't comparable. Therefore, inequality follows imbalance. When two integers are not equal, there is an inequality in mathematics. Egality and inequality are different. When two values aren't genuinely equal, the not equal basic is usually used to indicate this (). The values, whether tiny or huge, are contrasted using a variety of inequalities. By alternating the two characteristics until the constants integers become the only thing left, it is possible to solve many straightforward inequalities. However, a few things promote inequality: Negative values are halved or added to either side.
Here,
Given :
y≤ 3x+1
x-y>1
To find the value of x and y :
y≤ 3x+1
put the value of y
=> x - 3x -1 > 1
=> -2x -1>1
=>-2x > 2
=> -x>1
=>x >-1
x =1
Thus,
y≤ 3(1)+1
=> y ≤ 4
Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).
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please help quickly!
which of the following is the graph of y=|x+3|?
Answer:
It's D, because the point intercepts at (0, 3), which is 3 up from the y position. What the difference is from this graph and the others is that this graph has a y-intercept of positive 3, and starts at an x point of -3. The x and y values should be inverted in order for this to be correct, so that is why option D is correct.
Hope this helps!
Pill bluethooth Speaker conit two emiphere and cyclinder. The diameter of the cylinder and emiphere i 2 inche. The height of the cylinder i a foot. The According to the Statement pleae fill in the blank. Pleae anwer the following in inch format and round it to
The Volume of the Bluetooth speaker is 0.36cm³
The capacity of the Bluetooth speaker = Volume of both the hemispherical parts + Volume of the cylindrical part
Given that,
The volume of a hemisphere of radius 'r' = 2/3πr³
The volume of a cylindrical = πr²h where r is
the radius of the base of the cylinder and h is the height.
The hemisphere and the cylinder will have the same radius r =0.25cm
Since the total length of the toy is 2 cm, the length of the conical part
will be 2−0.25−0.25=1.5cm
Hence, the Volume of the bluetooth speaker =2×( 2/3*22/7 *0.25³) + (22/7 *0.25²*1.5) = 0.36cm³
Correct question: A BlueTooth speaker is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm The capacity of the Bluetooth speaker is?
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X- 2.6 =5. Help me plsss
Answer: x=7.6
Step-by-step explanation:
x-2.6=5
Step 1: Move 2.6 to another side of the equation with addition
X-2.6+2.6=5+2.6
X=7.6
Check your answer!
7.6-2.6=5 Correct!
Answer:
x = 7.6
Step-by-step explanation:
x - 2.6 = 5
x = 5 + 2.6
x = 7.6
--------------------------
check7.6 - 2.6 = 5
5 = 5
the answer is goodif f(x)=x^3+x^2 and g(x)=x^4+x^2+x, what is the value of f(x)-g(x) when x=1
At the store, I bought
coffee that costs $9.86,
creamer for $2.15, and
sugar that was $1.99. If I
used my employee
discount and got 15% off,
what was my total bill?
Answer:
$11.90
Step-by-step explanation:
.85(9.86 + 2.15 + 1.99)
.85(14)
11.90
If we take off 15% from 100%, that leaves 85%. 85% as a decimal is .85
Answer:
$11.90 total bill after discount.
Step-by-step explanation:
the original amount is $14.00 with 15% discount it will come down to $11.90. Your discount was $2.10.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: 2x+2y+10
Step-by-step explanation:
Yo, whats good.
You basically want to simplify the same terms. For example, you can simplify 6x and -4x. You want to reorder everything so you can simplify it.
6x-4x+2y+3+7
= 2x+2y+10
lol have fun
Farmer Gepsil started with some dubbles on his farm. After 11 hours he had 88 dubbles. Every hour, he bought 6 more of them. Please help me make a table so I can graph this
The table for the farmer buying dubbles is given below.
What is a graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Let the time be represented by the variable = x.
Let the number of dubbles be represented by the variable = y.
At x = 11, the number of dubbles y = 88.
Every hour, the farmer bought 6 more of them.
So, at x = 12 the number of dubbles y = 88 + 6
So, the table will be of the formula (x,y+6).
Therefore, the table for the graph is obtained.
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What is a 2 step equation?
A two-step equation is an algebraic issue that can be resolved in two steps.
Define the term 2 step equation?An algebraic problem that can be solved in two steps is known as a two-step equation.Once you've figured it out, you'll know what the variable's value is that makes the equation true.Two-step equations typically take the form ax b = c, where a, b, and c are real numbers.
For instance, 2 - 3x = 7 is an illustration of a two-step equation.
Use the following steps to solve 2-step equations:
so that there is only one term left, add or subtract the same amount from both sides of the equation.Use the same number to multiply or divide both sides of the equation.When the variable (letter) is placed by itself on one side of the equals sign, the equation is considered to be solved.To know more about the 2 step equation, here
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Answer:
Two step equations are algebraic equations and are the equations that can be solved in exactly two steps and gives the final value of the variable in two steps.
Step-by-step explanation:
Example 1: Solve the two step equation (x/6) - 7 = 11
Solution: To solve the given two step equation, we will follow the steps discussed above in the article.
Step 1: Add 7 to both sides of the given two step equation
(x/6) - 7 + 7 = 11 + 7
= (x/6) = 18
Step 2: Multiply both sides of the equation by 6.
6 × x/6 = 6 × 18
= x = 108
Answer: Hence the solution to the given two step equation (x/6) - 7 = 11 is x = 108.
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a furniture store is having a sale where everything is 40% off. write a function that represents the amount of amount of discount d on an item with a regular price of p
d = 0.4 p, where the sales price of the bookshelf is $51, is the function that depicts the percentage off of a regular price.
What is the amount of discount ?When an item's price is lowered, it is said to be on sale. Multiplying the cost of an item by the % discount will give you the discount's value.
Discount = Original Price × Percentage Discount
$85 × 40%
$85 × 0.4 = $34.
Original cost less any discounts equals sales price.
$85 - $34 = $51.
The discount is the amount that separates an item's selling price from its marked (or list) price. Discount is therefore calculated as follows: Discount=List price – Selling price. Take advantage of deals like the buy one, get one free promotion or 15% off shirts, for instance. On an item with a price per hundred displayed, you have a percentage discount. An item that was previously priced at Rs. 1,000 is now being offered for Rs. 900 thanks to a 10% percentage discount.
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What is the degree of 2x² 5x² 7?
The degree of 2x² 5x² 7 is 4.
The degree of a polynomial is the highest power of the variable in a given polynomial. In this case, the highest power of the variable is 4, making the degree of the polynomial 4.
We can calculate the degree by using the formula Degree = Max (exponent of x).
In this case, the exponent of x is 2 and 5 respectively, making the degree of the polynomial 4.
Therefore, the degree of the polynomial 2x² 5x² 7 is 4.
To calculate this, we can use the following formula:
Degree = Max (exponent of x)
For the given polynomial 2x² 5x² 7, we can calculate the degree as follows:
Max (2, 5) = 5
Therefore, the degree of the polynomial 2x² 5x² 7 is 5.
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What is obtuse triangle Class 7?
A triangle whose any one of the angles is an obtuse angle or more than 90°, then it is called an obtuse-angled triangle or obtuse triangle.
What is obtuse in math?Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Isosceles (two equal sides and two equal angles) or scalene are two possible types of obtuse triangles (no equal sides or angles). This indicates that every angle is less than 90 degrees. A triangle with two angles that are less than 90 degrees and one angle that is 90 degrees (acute angles). A triangle is said to have an obtuse angle if one of the inner angles is greater than 90 degrees. If one of the angles of an obtuse triangle is greater than 90°, then the total of the other two angles is also less than 90°.To learn more about obtuse refer to:
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does the following graph go with the equation given?
1. f(x)3x^2+6x-24
2. What is the y-intercept of this graph?
3. What is the location of the vertex of this graph?
The equation does not represent the graph
The y-intercept is (0, -16)The location of the vertex of this graph is (-1, -18)How to determine if the equation represents the graphThe equation is given as
f(x) =3x² + 6x - 24
Calculate f(0) and f(1)
f(0) =3(0)² + 6(0) - 24 = -24
f(1) =3(1)² + 6(1) - 24 = -15
On the graph, we have
f(0) = -16
This means that the equation is not the graph
The y-interceptThis is when x = 0
So, we hav
f(0) = -16
How to determine the vertex of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The vertex of a graph is the minimum or the maximum of a graph
In this case, it is a minimum and the minimum is located at (-1, -18)
Hence , the vertex is (-1, -18)
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hello need this due in 3 minutes have a good one
The line of the best fit for the data points plotted in the scatter plot is y = 0.67x + 4.05
How to determine the line of the best fit for the data points plotted in the scatter plot?From the question, we have the following parameters that can be used in our computation:
The graph
Using the line of the best fit, we have"
(x, y) = (0, 4) and (7, 9)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the points, we have
9 = 7m + 4
This gives
m = 0.71
So, we have
y = 0.71x + 4
The closest to this is
y = 0.67x + 4.05
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