Answers
Answer:
Step-by-step explanation:
Related Questions
What is the product of 2x 3y )( 2x 3y )? *?
Answers
The product of (2x-3y)(2x+3y) is 4x^2-9y^2.
the solution of the question is as follows,
Product = (2x-3y)(2x+3y)
Product =2x(2x+3y)-3y(2x+3y)
Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)
{using distributive property of multiplication}
Product = 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0,
Product = 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
distributive property of multiplication
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.
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Factor each polynomial completely.
a. 5a²c - 3a²d + 5b²c-3b²d
b. x^2n+ 6x^n +9
Answers
A = (a^2 + b^2) (5c - 3d)
B = (x^n + 3)^2
Explanation for A:
1. Factor out a^2 from (5a^2c - 3a^2d). This should look like a^2 (5c - 3d).
2. Factor out b^2 from (5b^2c - 3b^d). This should look like b^2 (5c - 3d).
3. Now multiply a^2 (5c - 3d) with b^2 (5c - 3d), by factoring out (5c - 3d) and writing a^2 + b^2 in parentheses like (a^2 + b^2) (5c - 3d)
Explanation for B:
1. Factor out x^n for x^2n + 6x^n, which should look like x^n (x^n + 6).
2. Write 9 as 3^2. The equation should look like x^n (x^n + 6) + 3^2. You can notice that the equation can be factored like (x^n + 3)^2 since you can get 6x^n by
(x^n + 3) multiples by 2, x^2n by squaring if, and 9 by squaring 3.
What is the answer of 2 by 7 and 3 by 5?
Answers
The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.
To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.
A common denominator for 2/7 and 3/5 is 35.
So we can convert both fractions to have 35 as the denominator,
2/7 becomes (2×5)/(7×5) = 10/35
3/5 becomes (3×7)/(5×7) = 21/35
then we can add the numerators:
10/35 + 21/35 = 31/35
so the final answer is 31/35
This is also the simplest form of this fraction which would be 31/35.
--The question is not clear, answering to the question below--
"What is the answer of 2/7 + 3/5?"
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50 points + brainliest PLS HELP ME ASAP. All I need is a right answer and a clear solution. Ty in advance! :)
(anyone who gives absurd answers will be reported right away)
Answers
Dimensions of the parallelogram are:
Base is b = 2 ft, Side is a = 5 ft, Height is h = 4 ft.Its perimeter is:
P = 2(2 + 5) = 2(7) = 14 ftIts area is:
A = bh = 2*4 = 8 ft²When the scale factor is 2Perimeter is 2 times greater:
P = 2*14 = 28 ftArea is 2*2 = 4 times greater:
A = 4*8 = 32 ft²When the scale factor is 3Perimeter is 3 times greater:
P = 3*14 = 42 ftArea is 3*3 = 9 times greater:
A = 9*8 = 72 ft²When the scale factor is 1/2Perimeter is 2 times smaller:
P = 14/2 = 7 ftArea is 2*2 = 4 times smaller:
A = 8/4 = 2 ft²Sunnyvale School is having their
annual lobster race. A team
consists of five lobsters. The
team score is the average of the five finishing place positions. His sister sally’s team has consistently finished behind his team, however, an unusual pattern has been noticed. For example, Sally’s first lobster finished right behind Peter’s first lobster. Her second lobster finished 2 places behind peter’s second lobster. Her third lobster finished 3 places behind peter’s third, her fourth was 4 places behind his fourth and her fifth was 5 places behind his fifth.
What is Sally's team score?
Answers
Sally's team score is 6.
We can determine Sally's team score by calculating the average of her team's finishing place positions.
From the information given, we know that:
Sally's first lobster finished one place behind Peter's first lobster.Sally's second lobster finished 2 places behind Peter's second lobster.Sally's third lobster finished 3 places behind Peter's third lobster.Sally's fourth lobster finished 4 places behind Peter's fourth lobster.Sally's fifth lobster finished 5 places behind Peter's fifth lobster.If we assume that Peter's team finished in 1st, 2nd, 3rd, 4th and 5th places, then we can calculate Sally's team score as follows:
Sally's first lobster finished in 2nd placeSally's second lobster finished in 4th placeSally's third lobster finished in 6th placeSally's fourth lobster finished in 8th placeSally's fifth lobster finished in 10th placeTo find the average of the five finishing place positions, we add up all the places and divide by 5:
(2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6
So, Sally's team score is 6.
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How many permutations are there of all the letters in each name?
a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene
Answers
Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.
a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.
b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.
c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.
d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.
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Find the value of x.
2x-8
6
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent.
[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]
For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25
B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes
Please help!!!
Answers
Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.
The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.
For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.
The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.
Step-by-step explanation:
What is an example of an absolute value equation?
Answers
The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.
Absolute Value Equation:
An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.
Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values of a, h, and k affect the value of the function.
'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacementThe vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.
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A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)
Answers
The simplified expression for its perimeter and area are 8x.
What is the perimeter of a square?The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.
An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.
The formula for finding the Perimeter of square = 4*a
= 4 * 2x
= 8x
Perimeter of square = 8x
Hence, the simplified expression for its perimeter is 8x
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Which cube root function is always decreasing as x increases?
○ f(x) Jm³√x – 8
O
f(x) = 3√√x-5
f(x)=√√-(5-x)
f(x) = -3√x+5
Answers
Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases
What is the Formula of Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The symbol "" designates the cube root. For instance, 8 Equals (2 + 2 + 2) = 2. Finding the cube root of a number is simple since 8 is a perfect cube number.You need to discover a number that, when multiplied twice by itself, equals the original number in order to get the cube root of a given integer. To get the cube root of 8, then, you need to identify the integer that, when multiplied by itself twice, equals 8. Therefore, since 2 2 2 = 8, the cube root of 8 is 2.Given data :
y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases
And when the value of x decreases , the value of y also decreases.
Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.
So it shall either move left or right but shall not flip.
So
y = ³[tex]\sqrt{(x - 8)}[/tex] and y = ³[tex]\sqrt{(x - 5)}[/tex]
are increasing functions.
Only when x becomes -x, that the function shall flip & shall become a decreasing function.
But then it must be - (x-a) or -(x+a) inside.
So
y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing
Only
y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.
Option D) is the right answer.
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How do you calculate the number of seeds per acre?
Answers
1. Convert lb./acre to grams/acre
2. Use the TKW to calculate seeds per acre.
What is acre?The imperial system and US customary systems both use acres as a measure of land area.
According to traditional definitions, it is the area of one chain by one furlong (66 by 660 feet), which is exactly equal to 10 square chains, 1640 of a square mile, 4,840 square yards, or 43,560 square feet, and roughly 4,047 m2, or roughly 40% of an acre.
A declared acre is equal to 4,046.8564224 square metres according to the 1959 international yard and pound agreement. Although the word "acre" is typically spelled out, the abbreviation "ac" is sometimes used instead.
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Please provide an explanation
Answers
If [tex]$\mathrm{x} \neq 3$[/tex], the expression [tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}$[/tex] is equivalent to [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].
What is meant by expression?A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.
A mathematical sentence with variables, numbers, or both is known as an expression. Operation can also be a part of an expression, although an equal sign is never present in an operation. A mathematical expression that demonstrates the equality of two expressions is called an equation. There is a sign of equality in equations.
An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.
Let the equation be
[tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}[/tex]
simplifying the equation, we get
[tex]$& \text { Divide } \frac{2 x^3+7 x^2-3 x-25}{x+3}=2 x^2+\frac{x^2-3 x-25}{x+3} \\[/tex]
[tex]$& =2 x^2+\frac{x^2-3 x-25}{x+3}[/tex]
[tex]$& \text { Divide } \frac{x^2-3 x-25}{x+3}=x+\frac{-6 x-25}{x+3} \\[/tex]
[tex]$ =2 x^2+x+\frac{-6 x-25}{x+3}[/tex]
Divide [tex]$\frac{-6 x-25}{x+3}=-6+\frac{-7}{x+3}$[/tex]
[tex]$=2 x^2+x-6+\frac{-7}{x+3}$$[/tex]
Simplifying the equation, we get
[tex]$=2 x^2+x-6-\frac{7}{x+3}$$[/tex]
Therefore, the correct answer is option 1) [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].
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(2x + 5) (4x − 3) (5x - 4) can be expanded and fully simplified to give an expression of the form ax³ + bx² + cx + d.
Work out the values of a, b, c and d.
Answers
Answer:
To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.
The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.
The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.
Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:
(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)
This can be simplified to:
= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12
Combining like terms, we get:
= -12x³ + 143x² + 100x + 12
So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.
Step-by-step explanation:
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. In how many week will he have enough money to the bike?Use the bar diagram to solve arithmetically. Then use an equatuio to slove algebraically.
Answers
Answer:
It will take him 9 weeks to be able to buy the bike.
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
What were the steps to lead us to this answer?So, we have:
- Cost of the bike = $189
- Money saved = $99
- Money saving each week = $10
We are trying to find how many weeks will he have enough money to the bike.
So, we are going to multiply and add the numbers to find are answer:
→ (n × $ 10) + $ 99 = $ 189
→ n × $ 10 = $ 90 n = $ 90 $ 10 n=9 weeks.
Therefore, Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
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how many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 1/3 inches, and height 1 2/3 inches?
Answers
The number of 1/3 inch cubes that will fill the box is 26.
Volume of an object.The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.
Given a cube of length 1/3 inch. The volume of the cube can be determined as;
volume of a cube = length x width x height
The volume of the cube = 1/3 * 1/4 * 1/3
= 1/9 cube inches
The volume of the box can be determined as;
Volume of the box = length x width x height
= 1 1/3 * 1 1/3 * 1 2/3
= 2.963 cubic inches
Volume of the box = 2.963 cubic inches
The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)
= 26.667
The number of 1/3 inch cubes that will fill the box is 26.
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If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K
Answers
Step-by-step explanation:
KLH is a triangle, and the sum of all angles in a triangle is 180°.
now, we know the angle at L = 134°.
because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.
and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.
so, we have
180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x
12 = 4x
x = 12/4 = 3
Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3
Answers
The roots of the given quadratic equation are x = -2/3 and x = -2.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is a quadratic equation as follows -
3x² + 7 = - 8x + 3
The given quadratic equations are -
3x² + 7 = - 8x + 3
3x² + 8x = 3 - 7
3x² + 8x + 4 = 0
(x + 2/3)(x + 2) = 0
(x + 2/3) = 0 and (x + 2) = 0
x = -2/3 and x = -2
Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.
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Which statement correctly describes this picture?
Answers
Because there, TY is show as a ray with one end point only. And PR is a lone segment.
Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?
Answers
Answer:
1,520 pounds
Step-by-step explanation:
40x 38 = 1520
In a '15% off sale, Freya bought a DVD player for £179. 99. What was the original price of this
DVD player?
Answers
The original cost of the DVD player is $ 211.75.
Calulating Original price:
To calculate the original price of an item in case of giving a discount we can use the following formula
Original Price = Selling Price / (1 - Percentage Discount/100)
(Or)
We can calculate the original price by taking a variable as the cost of the item as given below
Here we have
In a '15% off sale, Freya bought a DVD player for £179. 99
Let 'x' be the cost of the DVD player
Then the cost of the DVD player after giving a 15% discount
= x - 15% of x
= x - (15/100) x
= x - 0.15x
= 0.85x
Given that
Freya bought a DVD player for £179. 99
=> 0.85x = 179. 99
=> x = 211.75
Therefore,
The original cost of the DVD player is $ 211.75.
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What is the secret calculator app?
Answers
The secret calculator app is used to protect confidential Photos, Videos, Documents, Passwords, Notes, Contacts and To Dos.
The term calculator is referred as a device that performs arithmetic operations on numbers and it does the basic calculators can do only addition, subtraction, multiplication and division mathematical calculations.
Here we need to find definition and the usage of secret calculator app.
As per the definition of calculator here we know that the app is used to acts like a photo vault to store all password protected files, and can only be viewed inside the app.
As the user who is unaware of this app you will never expect a simple calculator looking app is used to hide files.
Here if you want to access this you will need the password to open the photos from your child.
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11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
Answers
Answer:
11
Step-by-step explanation:
remember that the absolute value function always gives a positive value, that is
| - a | = | a | = a
substitute the given values into the expression
- a² - 2bc - | c |
= - (- 2)² - 2(3)(- 3) - | - 3 |
= - (4) - 2(- 9) - | 3 |
= - 4 + 18 - 3
= 14 - 3
= 11
Find C using Special right triangles
Answers
The length c of the right angle triangle is 9 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
The sides of a right angle triangle can be found using trigonometric ratios as follows:
Therefore,
sin 60° = opposite / hypotenuse
where
opposite side = c
hypotenuse side = 6√3 ft
Hence,
sin 60° = c / 6 √3
cross multiply
c = 6√3 × sin 60
c = 6√3 × √3 / 2
c = 6 × 3 / 2
c = 18 / 2
Therefore,
c = 9 units
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solve for x and graph the solution on the number line below 7+x<16
Answers
Step-by-step explanation:
x<16-7x<11.....................
surface area of this triangle
Answers
On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
B = 8cm
H = 15 cm
A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.
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Find the mean, median, and mode of the data. Choose the measure that best represents the data. Explain your reasoning. 2. 55,65,49,22,56,65,61,57. 4. 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6
Answers
Answer:
2. mean: 53.75; median: 56.5; mode: 65; median is best
4. mean: 24.4; median: 20.45; no mode; median is best
Step-by-step explanation:
You want the mean, median, mode, and best representation of the data for data sets ...
2. — 55,65,49,22,56,65,61,57
4. — 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6
Mean
The mean of the data is the sum of the data values, divided by the number of data values.
MedianThe median data value is the middle of the sorted list, or the average of the two middle values. Here, there are an even number of data values in each list, so the median is the average of the middle two.
ModeThe mode of the data set is the value that is repeated most often. A data set may have multiple modes. Here, where one of the datasets has no repeated values, we describe it as having "no mode."
Data set 2The first attachment shows the descriptive statistics are ...
mean: 53.75median: 56.5mode: 65The data is skewed to the left, with the value 22 being an outlier. This value reduces the mean. The mode is the maximum value in the data set, so it does not fairly represent the data, either.
The median best represents the data.
Data set 4The second attachment shows the descriptive statistics are ...
mean: 24.4 median: 20.45mode: none (no repeated values)The data is skewed to the right, with the value 68.1 being an outlier. This tends to raise the mean above what it would otherwise be. There is no mode.
The median is best represents the data.
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Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?
ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!
Answers
Answer:
22
Step-by-step explanation:
34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too
Jose has 22$ to spend on food and games
what is 2.8 repeating as adecimal
Answers
Let 2.888888888... = X
Then 10X = 28.888888888888....
10X - X = 9X = 28.8888888888... - 2.88888888888... = 26
So X = 26/9
Hope this is what you were asking for.
what is -2/5 plus 4/3
Answers
The required solution to the given statement is 14/15.
What is the Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers.
A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5
The statement is given in the question below as:
-2/5 plus 4/3
Here "plus" represents the addition sign (+)
So, the algebraic form of the above statement will be as:
⇒ -2/5 + 4/3
Take the LCM between the fractions, we get
⇒ ( -6 + 20)/15
⇒ 14/15
This means 14/15 is obtained from -2/5 plus 4/3.
To learn more about the Least Common Multiple(LCM) here :
https://brainly.com/question/17256135
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