Answer:
B is not true, the other options are correct.
Step-by-step explanation:
B. To subtract powers with the same base, divide the exponents. is not true. The correct operation is to subtract the exponents.
A. To divide powers with the same base, subtract the exponents. is true. When dividing two powers with the same base, you subtract the exponents. For example, (x^3) / (x^2) = x^(3-2) = x^1
C. To multiply powers with the same base, add the exponents. is true. When multiplying two powers with the same base, you add the exponents. For example, (x^3) * (x^2) = x^(3+2) = x^5
D. To raise the power to a power, multiply the exponents. is true. When raising a power to another power, you multiply the exponents. For example, (x^3)^2 = x^(3*2) = x^6
So, B is not true, the other options are correct.
Tao rode his bike for 20 min at 12mph. How many miles did he go?
Tao rode his bike for 4 miles.
What are the speed, distance, and time?
Speed, distance, and time are related concepts in physics, and the relationship between them is often represented by the equation:
Speed = Distance/Time
To find out how many miles Tao rode his bike, you can use the formula:
distance = speed x time
In this case, the speed is 12 mph (miles per hour) and the time is 20 minutes. To convert the time to hours, you need to divide 20 minutes by 60 minutes (1 hour) which gives us 0.33 hours.
So,
distance = 12 mph x 0.33 hours = 4 miles
Hence, Tao rode his bike for 4 miles.
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Is a pentagon convex?
A planar polygon is convex if it contains all of the line segments connecting any two of its points. Thus, a regular pentagon is convex (left picture), but an indented pentagon is not (right figure).
What is pentagon?A pentagon is any five-sided polygon or 5-gon in geometry. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting. A pentagram is a self-intersecting regular pentagon. A pentagon is a five-sided polygon with five angles. The term "pentagon" is made up of two terms, Penta and Gonia, both of which signify five angles. All of the sides of a pentagon meet end to end to form a shape.
Here,
If a planar polygon has all of the line segments connecting any two of its points, it is convex. A normal pentagon, for example, is convex (left picture), but an indented pentagon is not (right figure).
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The height of an equilateral triangle is 27 in. Find the perimeter of the triangle.
Answer:
a = 27
perimeter = 3a
= 3 * 27
= 81
which ordered pair is a solution of the inequality y > 4/3x + 5?
Answer:
y > 4 is the solution of ordered pair in the inequality
this answer is helpful or not?
Can you state whether or not they are similar?
Explain why!
Thank you.
You have an ant farm with 27 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm?
Answer:
this is my best awnser
Step-by-step explanation:
It represents a linear function and there will be 216 ants after 1 year
Eliminate the parameter in the equations y = t + 2 and x = t superscript one-half. How can the rectangular equation be described?.
The equation can be described as a quadratic equation.
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x or any algebraic equation of highest degree. The standard form of the quadratic equation in variable is ax^2 + bx + c = 0 with a ≠ 0, where a and b are coefficients and constant. Since a quadratic equation is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
In this case, we have given that:
y = t + 2
So, y – 2 = t
Now, substitute the value of t in the equation:
x = t^1/2
x = (y – 2) ^1/2
And, by squaring both sides we will get:
x^2 = y – 2
y = x^2 + 2
Hence, this is an example of quadratic equation.
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Answer:
D. Quadratic
Step-by-step explanation:
Took the test and it was the right answer. I'll put in answers for other questions in case you have them.
Don't worry you've got it, I believe in you :)
Given the circle below with tangent PQ and secant SRQ. If RQ = 7 and
SQ= 40, find the length of PQ. Round to the nearest tenth if necessary.
The required length of the tangent PQ is given as 16.73 units.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
PQ² = QS·RS
PQ = √[7 × 40]
PQ = 16.73
Thus, the required length of the tangent PQ is given as 16.73 units.
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Shota invests \$2000$2000dollar sign, 2000 in a certificate of deposit that earns 2\%2%2, percent in interest each year.
At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.
Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).
At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).
Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.
At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.
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Write “Heidi had a bag containing b candies, she split the bag of candy into six equal piles.” In expression
Answer:
B/6
Step-by-step explanation:
is this what you mean
B= ammount of candie
1/6= the piles she divided
so
[tex]\frac{b}{6}[/tex]
A garden store recently sold several types of seed packets.
zucchini 40
pumpkin 21
cucumber 16
Considering this data, how many of the next 99 seed packets sold should you expect to be pumpkin seed packets?
According to the information, it can be inferred that of the next 99 packets of seeds sold, 27 will be pumpkin seeds.
How to calculate how many packages of pumpkin will be sold?To calculate how many packages of pumpkin will be sold in the next 99 sales we must carry out the following procedure: A rule of three.
77 = 2199 = x= 27According to the above, if of 77 packages we sold 21 of pumpkin, we can infer that 27 will be the packages of pumpkin seeds that we will sell in the next 99 sales.
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How do you write inequalities in math?
The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”.
Now, According to the question:
What is inequality?
A statement involving the symbols '>', '<', ' ≥', '≤' is called an inequality. For example 5 > 3, x ≤ 4, x + y ≥ 9.
(i) Inequalities which do not involve variables are called numerical inequalities. For example 3 < 8, 5 ≥ 2.
We use the equal sign "=" to say that two things are the same. However, sometimes we just want to show that something is bigger or smaller than something else. Or maybe we just want to say that two things are not equal. These cases are called inequalities.
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One has six small chains of four links each she wants to make him until one long chain of 24 links cutting a link cost $1.25 in welding then cost $3.50 with the least cost of making the chain
The least cost of making the chain would be = $114
What is welding?Welding is defined as the process that can be used to join some hard materials such as chains which can be used for making of pieces of jewelry.
John's chain contain the following = 6 small chains
The number of links for each chain = 4 links
This means that for the totals chain there are 6× 4 = 24 links which is also the total number of links he wants to make.
The cost of 1 link = $1.25
The cost of welding = $3.50
The least amount of money that can be used can be calculated below as;
= (1.25 + 3.50)× 24
= ($4.75) × 24
= $114
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler used 130 grams of gold and made 5 more bracelets than necklaces. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.
The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.
What is variables?A variable in Algebra is an alphabet used to represent an unknown number. It denotes the value. A variable is a quantity that can be altered in response to a mathematical problem. Many algebraic expressions and equations use the generic letters x, y, and z. A variable is, in other words, a symbol for a number whose value is unknown.
Given:
Each bracelet contains 8 grammes of gold, and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces.
According to the question,
Let x denote the number of bracelets and y the number of necklaces made by the jeweller.
The jeweller made a total of 13 bracelets, This means that
⇒ x + y = 13
It is assumed that each bracelet contains 8 grammes of gold and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces. That is to say,
⇒ 8x + 24y = 168
Thus, The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.
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what terms are in 3x-2+4y-7+x
Answer: 3x, -2, 4y, -7, and x
Hope this helps :)
Step-by-step explanation:
Terms are all of the variables and/or numbers in an equation.
Factorise x^2-4x-32 please
Answer:
(x - 8) (x + 4)
Step-by-step explanation:
x^2-4x-32
Consider the form x^2+bx+c. Find a pair of integers whose product is c
and whose sum is b. In this case, whose product is −32 and whose sum is −4.
-8,4
Write the factored form using these integers and we get the answer
(x - 8) (x + 4)
10/n = 2/1.7 what is n
Answer:
n = 8.5
Step-by-step explanation:
[tex]\frac{10}{n}[/tex] = [tex]\frac{2}{1.7}[/tex] ( cross- multiply )
2n = 10 × 1.7 = 17 ( divide both sides by 2 )
n = 8.5
Choose the expression that best represents the phrase below.
...the number of fish divided evenly among 5 aquariums...
OA. 5-f
B. 5 f
C. f-5
D. 5f
E. f 5
OF. 5+ f
The expression that best represents the phrase below.
"the number of fish divided evenly among 5 aquariums" is
E. f ÷ 5How to find the expression that suit the phraseThe expression that suits the phrase is derived by understanding the meaning of the phrase
The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.
Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence we have
= the number of fishes ÷ divided by the number of aquarium
= f ÷ 5
hence option E is the correct one
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y= x(x-5)(x+2)(x+2) roots? y-int.?
Answer: Roots=-2, 0, 5
y-int=(0,0)
Step-by-step explanation:
At what point will the lines x = 2y - 28 and
x = -6y + 36 intersect?
How do you find the coordinates of a triangle with midpoints?
To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints.
To find the coordinates of a triangle with midpoints, you first need to calculate the midpoints of each side of the triangle. To do this, take the two endpoints of the side and average their coordinates. For example, if the two endpoints are (x1, y1) and (x2, y2), then the midpoint would be ((x1+x2)/2, (y1+y2)/2). Once you have all the midpoints, you can use the midpoint formula to calculate the coordinates of the triangle. The midpoint formula states that the coordinates of the triangle can be found by taking the average of the midpoints of the three sides.
To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints. Then use the midpoint formula to take the average of the three midpoints to find the triangle's coordinates
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In a bundle of 30 fruits, 6 are apples and the
rest are oranges. What percent of the
bundle is composed of apples?
When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.
what is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
In a bundle fruits of 30,apples are apples
percentage of apple = 6/30 *100
= 20 %
When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.
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3. On a map of the northeast United States, the map scale says that 1 centimeters = 5
miles. The distance shown on the map between New York City and Buffalo is 58 cm.
What is the actual distance between the two cities?
Answer:
290 Miles
Step-by-step explanation:
Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.
Which polynomial has a degree of 4?A.Quadratic polynomialB.Biquadratic polynomialC.Cubic polynomialD.None of this
Biquadratic polynomials are defined as polynomials with a degree of 4. thus," Option B".
Polynomial
A polynomial is a type of fine equation that combines expounders, constants, and variables through addition, deduction, addition, and division.
Bi-quadratic Polynomial
Not original) An illustration of a polynomial statement that solely makes use of a variable's zeroth, second, and fourth powers is biquadratic( mathematics) x4 3x2 2. It's sometimes extended to any expression containing the biquadrate or fourth power when used in the form x4 4x3 3x2 x 1. ( but not advanced powers).
In general, a 0 is an a-quadratic polynomial in the equation g( x) = ax4 bx2 cx2.
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Karen was trying to factor 6x^2+106x
2
+106, x, squared, plus, 10. She found that the greatest common factor of these terms was 222 and made an area model
3x^{2}+5 is the area of rectangle .
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.
Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.
The answer is 3x^{2}+5
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Why are the three types of solutions in systems of equations?
The 3 different types of solutions in a system of equations are a unique solution, no solution and many solutions.
There are 3 types of systems of linear equations which are as follows:
Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.
Example:[tex]\left \{ {{-6x + 4y = 2} \atop {3x - 2y = -1 }} \right.[/tex]
The system has infinitely many solutions.
Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.
Example:[tex]\left \{ {{x - 3y = 7} \atop {3x - 3y = 15}} \right.[/tex]
The unique solution to the system is (4, -1)
Inconsistent: The system has no solution. The graphs of no-solution equations are parallel lines.
Example:[tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]
The system has no solution.
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Solve the system of equations using substitution. y = −2x 1 4x 2y = −1 (0, −3) (−3, 0) no solution infinitely many solutions
The equations with no solution system.
What are equations ?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It shows that the expressions printed on the left and right sides have an equal relationship.
In any mathematical equation, we have LHS = RHS (left hand side = right hand side).
Equations can be solved to find the value of an unknown variable that represents an unknown quantity.
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
Hence, The equations with no solution system.
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What is the role of the base and exponent in an exponential expression?
In an exponential expression, a base is a number that is raised to a certain power, represented by the exponent. The base can be any real number, while the exponent must be a positive integer.
Some key points to remember about the base and exponent in an exponential expression are:
The base represents the number being multiplied by itself a certain number of times.The exponent represents the number of times the base is multiplied by itself.The value of the exponential expression is the product of the base raised to the power of the exponent.The exponent can be positive or negative, and a base of 1 or 0 will always result in 1 or 0 respectively.The base can be any real number, but the exponent must be a positive integer.For example, in the expression "2^3" (read as "2 raised to the power of 3"), the base is 2 and the exponent is 3. This means that 2 is being multiplied by itself 3 times (222 = 8). So the expression evaluates to 8.
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A frozen yogurt hop ha a combination of 150 mall and medium ized bowl on their counter. Each mall bowl hold 4 oz and each medium bowl hold 6 oz. If the bowl on the counter will hold a total of 764 oz find the number of mall and medium ized bowl on the counter
There are 62 medium-sized bowls and 88 small-sized bowls on the counter.
Calculate the total volume of the bowls on the counter, which is 764 oz.
Calculate the volume of one medium-sized bowl, which is 6 oz.
Calculate the total volume of the medium-sized bowls which would be 62 x 6 = 372 oz.
Calculate the volume of one small-sized bowl, which is 4 oz.
Calculate the total volume of the small-sized bowls which would be 764 - 372 = 392 oz.
Calculate the number of small-sized bowls which would be 392/4 = 88.
Calculate the number of medium-sized bowls which would be 372/6 = 62.
Therefore, there are 62 medium sized bowls and 88 small sized bowls on the counter.
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How do I copy a table formula in Word?
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
About the table.A statistically list is a collection of numbers that shows the outcomes of an analysis with numerous inputs. Data is arranged in columns and rows and consists of both descriptions and numbers. The table and also the patter of 10 are easy to recall. The numbers are in the following order: 7, 14, 21, 28,35, 42, 49, 56, 63, and 70. A method for illustrating the connections between different data pieces is value mapping. In any science subject, the values table might be helpful.
Here,
To relocate a formula, choose a cell that it is in.
(Or, click Ctrl + X.) Click Home > Cut. Select Transfer (or ctrl + V)
after choosing the cell in which you desire the formula to appear.
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed above.
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