1) The dimensions of the 4 walls are:
Two walls are 20 feet long and 8 feet tall.
Two walls are 25 feet long and 8 feet tall.
2) Total area to be covered:
= 720 square feet.
3) You will need 1.8 gallons of paint to cover all four walls of the room.
Now, The dimensions of the 4 walls are:
Two walls are 20 feet long and 8 feet tall.
Two walls are 25 feet long and 8 feet tall.
And, The total area to be covered is:
For the two 20 feet long walls:
A = 20 feet x 8 feet
A = 160 square feet each.
And, For the two 25 feet long walls:
A = 25 feet x 8 feet
A = 200 square feet each.
Hence, Total area to be covered:
= (160 + 160 + 200 + 200) square feet
= 720 square feet.
For the number of gallons of paint needed, divide the total area to be covered by the area covered by one gallon of paint:
Number of gallons of paint needed = Total area to be covered / Area covered by one gallon of paint
Number of gallons of paint needed = 720 square feet / 400 square feet per gallon
Number of gallons of paint needed = 1.8 gallons
Therefore, you will need 1.8 gallons of paint to cover all four walls of the room.
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6a) Suppose A = A1i A2j + A3k and B = B1i+B2j+B3k. Prove that A ∙ B = A1B1 + A2B2 + A3B3.
6b) Find the angle between the vectors A = 2i+2j-k and B = 7i+24k.
a. The scalar product of vectors A = A₁i + A2₂j + A₃k and B = B₁i + B₂j + B₃k. is A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.
b. The angle between the vectors A = 2i +2j - k and B = 7i + 24k is 97.67°
What is the scalar product of two vectors?The scalar product of two vectors a = a₁i + a₂j + a₃k and b = b₁i + b₂j + b₃k is given by
a.b = abcosФ = a₁b₁ + a₂b₂ + a₃b₃ where
a = magnitude of vector ab = magnitude of vector b and Ф = angle between vectors a and b6a) Suppose A = A₁i + A2₂j + A₃k and B = B₁i + B₂j + B₃k. Prove that A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.
We proceed as follows
We know that
A ∙ B = (A₁i + A₂j + A₃k). (B₁i + B₂j + B₃k)
= A₁i.(B₁i + B₂j + B₃k) + A₂j.(B₁i + B₂j + B₃k) + A₃k.(B₁i + B₂j + B₃k)
Expanding the brackets, we have
= A₁i.B₁i + A₁i.B₂j + A₁i.B₃k + A₂j.B₁i + A₂j.B₂j + A₂j.B₃k + A₃k.B₁i + A₃k.B₂j + A₃k.B₃k
= A₁B₁i.i + A₁B₂i.j + A₁B₃i.k + A₂B₁j.i + A₂B₂j.j + A₂B₃j.k + A₃B₁k.i + A₃B₂k.j + A₃B₃k.k
We know that
i.i = j.j = k.k = 1 and i.j = j.i = i.k = k.i = j.k = k.j = 0So, we have that
= A₁B₁i.i + A₁B₂i.j + A₁B₃i.k + A₂B₁j.i + A₂B₂j.j + A₂B₃j.k + A₃B₁k.i + A₃B₂k.j + A₃B₃k.k
= A₁B₁(1) + A₁B₂(0) + A₁B₃(0) + A₂B₁(0) + A₂B₂(1) + A₂B₃(0) + A₃B₁(0) + A₃B₂(0) + A₃B₃(1)
= A₁B₁ + 0 + 0 + 0 + A₂B₂ + 0 + 0 + 0 + A₃B₃
= A₁B₁ + A₂B₂ + A₃B₃
So, A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.
6b) To find the angle between the vectors A = 2i +2j - k and B = 7i + 24k, we proceed as follows.
We know that the angle between two vectors is given by
Ф = cos⁻¹[(A.B)/AB] where
A = magnitude of vector A and B = magnitude of vector BNow, A.B = (2i +2j - k).(7i + 24k) = (2 × 7 + 2 × 0 + (-1) × 24)
= (14 + 0 - 24)
= -10
Now, the magnitude of a vector C = C₁i + C₂j + C₃k is C = √(C₁² + C₂² + C₃²)
Since vector A = 2i +2j - k its magniude A = √(2² + 2² + (-1)²)
= √(4 + 4 + 1)
= √9
= 3
Also since vector B = 7i + 24k, its magniude A = √(7² + 0² + 24²)
= √(49 + 0 + 576)
= √625
= 25
So, substituting the values of the variables into the equation, we have that
Ф = cos⁻¹[(A.B)/AB]
Ф = cos⁻¹[(-10)/(3 × 25)]
Ф = cos⁻¹[(-2)/(3 × 5)]
Ф = cos⁻¹[-2/15]
Ф = -0.13333
Ф = 97.67°
So, the angle betwen the vectors is 97.67°
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While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=__________mi/gal
The rental car is getting approximately 37.56 miles per gallon.
To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:
1 km/l ≈ 2.82475 mpg
Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:
13.3 km/l x 2.82475 mpg ≈ 37.56 mpg
So, your rental car is getting approximately 37.56 miles per gallon.
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Find the mystery number from the following clues
It is a 2-digit number
It is a factor of 48
It is a multiple of 6
The sum of the digits is 3
Based on the given clues, the mystery number is 12.
Let's analyze the clues given to find the mystery number:
It is a 2-digit number: This means the number is greater than or equal to 10 and less than 100.
It is a factor of 48: The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
It is a multiple of 6: The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, and so on.
The sum of the digits is 3: From the clues, we know that the mystery number is a 2-digit number, so let's consider the possible numbers where the sum of the digits is 3:
12 (1 + 2 = 3)
21 (2 + 1 = 3)
Now let's check which of these numbers satisfy the first three clues:
12: This number is a factor of 48 (48 ÷ 12 = 4) and it is a multiple of 6 (12 ÷ 6 = 2). The sum of the digits is 3. Therefore, 12 satisfies all the clues.
21: This number is not a factor of 48 (48 ÷ 21 ≈ 2.29), so it doesn't satisfy the second clue.
Based on the given clues, the mystery number is 12.
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A box plot uses a number line from 13 to 33 with tick marks every one-half unit. The box extends from 15 to 30.5 on the number line. A line in the box is at 21.5. The lines outside the box end at 14 and 32. The graph is titled Number of Points, and the line is labeled Points Scored in Basketball. What value does 75% of the data lie above? Find the value. Lower quartile (Q1) = 14 Lower quartile (Q1) = 15 Upper quartile (Q3) = 30.5 Upper quartile (Q3) = 32
Given statement solution is :- The quartile value above which 75% of the data lies is 31.625.
To find the value above which 75% of the data lies, you can determine the third quartile (Q3) of the data set. In this case, the upper quartile (Q3) is given as 30.5.
Since the data is represented on a number line with tick marks every one-half unit, we can divide the range between Q3 and the maximum value (32) into four equal parts. Each part represents 25% of the data.
To find the value that corresponds to 75% of the data lying above, we need to determine the value that is three-fourths of the way between Q3 and the maximum value.
First, calculate the range between Q3 and the maximum value: 32 - 30.5 = 1.5.
Next, divide the range by four to find the size of one-fourth of the range: 1.5 / 4 = 0.375.
Now, multiply the size of one-fourth of the range by three to find the size of three-fourths of the range: 0.375 * 3 = 1.125.
Finally, add the size of three-fourths of the range to Q3 to find the value above which 75% of the data lies: 30.5 + 1.125 = 31.625.
Therefore, the quartile value above which 75% of the data lies is 31.625.
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Find the measure indicated.
27)
T
A) 59⁰
C) 56°
S
80°
20
Q
B) 50°
D) 37°
R
b)50
since its a Equilateral triangle, then the two base angels have the same measure
abd since both triangles are symmetric, they have the same measurements
so 180-80 = 2x
x = 50⁰
you are dealt one card from a 52-card deck. find the probability that you are not dealt a two
Answer:
Step-by-step explanation:
48 out 52 cards are not a 2:
[tex]P(not 2)=\frac{48}{52} =\frac{12}{13}[/tex]
A store has 7 bags of sugar in an aisle. Each small bag weighs 4 pounds. each large bag weighs 10 pounds. There are 52 pounds of sugar in the aisle. Write a system of equations for the situation. Be sure to identify what your variables represent.
Answer: 4 small bags, 3 large bags (equations below in explanation)
Step-by-step explanation:
x=number of small bags
y=number of large bags
x+y=7
4x+10y=52
Subtract them after multiplying the first equation by 4.
4x+4y=28
4x+10y=52
-6x=-24
x=4
x+y=7
4+y=7
y=3
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression [tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]
To simplify the rational expression [tex](7x)/(14x^6)[/tex], we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, [tex]14x^6[/tex], we can see that both 14 and x^6 have a common factor of [tex]2x^6[/tex].
So, we can rewrite the denominator as
[tex]14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.[/tex]
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
[tex](7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)[/tex]
Therefore, the simplified form of the rational expression[tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]
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I need help with this homework It's 3 AM right now. I'm so tired
I will mark the first person to help me brainliest, they will also get 50 points
The missing parts of the hierarchy of the quadrilaterals is listed below
KiteRectangleSquareRhombusParallelogramQuadrilateralTrapezoidSquareWhat are the quadrilateralsA four-sided polygon is called a quadrilateral. A polygon having four sides is referred to as a four-sided polygon in general.
A geometric figure with two pairs of parallel sides. The quadrilateral shape known as a trapezoid (or trapezium in certain areas) can be restated in different words.
A quadrilateral having four angles measuring 90 degrees each and having opposite sides parallel is called a parallelogram.
Rhombus shape: This particular four-sided shape is distinguished by having every angle measuring 90 degrees.
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See text below
Hierarchy of a Quadrilateral Assignment
Fill in each of the missing parts of the hierarchy of the
quadrilaterals. Include the properties of each of the figures
What is the meaning of "only under the assumption that at least one set X exists"?
The phrase "only under the assumption that at least one set X exists" means that a certain statement or conclusion holds true or can be deduced only if there is a set X that exists.
Answer to the questionIn other words, the validity or applicability of the statement is conditional upon the existence of at least one set X.
This phrase indicates that the argument or reasoning being presented depends on the existence of a specific set or group. Without the existence of such a set, the statement or conclusion being made may not hold true or may not be applicable.
It's important to note that without further context, the meaning and implications of this phrase may vary depending on the specific subject or context in which it is used.
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How do I find the possible degree(s) of a function from the graph alone?
The possible degrees of a function from it's graph are found with the sum of the multiplicities of each root of the function.
How to obtain the x-intercepts of a function?On the definition of a function, the x-intercept is given by the value/values of x for which the function assumes a value of zero.
On the graph, these are the values of x for which the graph of the function crosses or touches the x-axis.
The multiplicity of each root is given as follows:
Even multiplicity when the graph touches the x-axis.Odd multiplicity when the graph crosses the x-axis.Hence the degree is found with the sum of the multiplicities of the zeros of the function.
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Calculate the following values.
The output value of f(-1) include the following: -13.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.
Since the value of x is -1, the output value of this piecewise-defined function can be calculated by using the first function as follows;
f(x) = 3x - 10
f(-1) = 3(-1) - 10
f(-1) = -3 - 10
f(-1) = -13
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Select all expressions that equal 6x10(-10)
To express the value 6 × 10^(-10), you can use scientific notation or decimal notation. Here are some valid expressions that equal 6 × 10^(-10):
0.0000000006
6E-10
6 × 10^(-10)
These expressions represent the same value, which is 6 multiplied by 10 raised to the power of -10.
Decimal is a number system used in everyday arithmetic and mathematics. It is also known as the base-10 system because it uses ten digits (0-9) to represent numbers. Each digit's position in a decimal number represents a power of 10.
In a decimal number, the digits to the left of the decimal point represent whole numbers, while the digits to the right of the decimal point represent fractions or parts of a whole. For example, in the decimal number 123.45, the digit "1" represents 100, the digit "2" represents 10, the digit "3" represents 1, the digit "4" represents 0.1, and the digit "5" represents 0.01.
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What is the meaning of "A function f is one-to-one"?
A function f is said to be one-to-one, or injective, if it has the property that for any two different inputs, it produces two different outputs.
What is the meaning of "A function f is one-to-one"?More formally, a function f: X -> Y is one-to-one (or injective) if for every x1, x2 in X, if x1 ≠ x2 then f(x1) ≠ f(x2).
This means that no two different elements of the domain X map to the same element of the codomain Y. If you were to draw a horizontal line through any point on the graph of a one-to-one function in the Cartesian plane, that line would intersect the graph at most one time. This is known as the "horizontal line test" for one-to-one functions.
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Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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using the centriod explain the relationship between point z and the triangle. justify with applicable theorem.
4. if the length of gu is 18 units, what is the length of gz?
5. if the length of zt is 4.8 units, what is the length of ot?
show all work
Length of gz = 12 units
Length of ot = 14.4 units
Given,
Triangle EGD with centroid at Z .
Now,
As we know that centroid divides the line segment in the ratio 2:1 .
Firstly calculate the length of gz,
gu = 18 unit
gz:zu = 2:1
gz = 2/3 * 18
gz = 12 units .
Secondly calculate the length of ot,
zt = 4.8 units
oz:zt = 2:1
oz = 4.8 * 2
oz = 9.6 units
ot = 9.6+ 4.8
ot = 14.4 units
Hence with the centroid length of ot and gz can be found out .
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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What is the balance after three years on a CD with an initial investment of $2,200 and a 2.95% interest rate?
The remaining balance on a CD with a $2,200 initial investment and a 2.95% interest rate after three years would be roughly $2,393.10.
To solve this problemThe compound interest formula is as follows:
Balance = Principal * (Rate/100 + Rate * 1)Time
Where
The initial investment is the principalRate is the period-to-period interest rateThe amount of periods makes up timePrincipal (P) is equal to $2,200.
Rate (R) = 2.95% = 2.95/100 = 0.0295 in decimal form.
Time (T) = 3 years.
The following formula is substituted for the values:
Balance =[tex]$2,200 * (1 + 0.0295)^3.[/tex]
Exponent calculation:
Balance = [tex]$2,200 * (1,0295)^3[/tex]
Calculating the result:
Balance ≈ $2,200 * 1.089135
Balance ≈ $2,393.10
So, the remaining balance on a CD with a $2,200 initial investment and a 2.95% interest rate after three years would be roughly $2,393.10.
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if m∠2=3x+14° and m∠4=2x+6°, what is
The angle m∠HAT in the line segment is 54 degrees.
How to find the angle in a line?When line segment intersect, angle relationships are formed such as
vertical angles, linear angles etc.
Therefore, the angle ∠HAT can be found using the relationship of the angles as follows:
m∠MAH = 3x + 14
m∠HAT = 2x + 6
Therefore,
m∠MAH + m∠HAT = 90 degrees
3x + 14 + 2x + 6 = 90
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 24
Therefore,
m∠HAT = 2x + 6 = 2(24) + 6 = 48 + 6 = 54 degrees
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Susan has two solutions that contain alcohol. She uses 100 millileters less of solution a than solution b. Solution A HAS 13% ALCOHOL AND SOLUTION b is 10% alcohol. How many milliliters of solution b is used if the resulting mixture has 102 milliliters of pure alcohol
Susan uses 500 milliliters of solution b to obtain a resulting mixture with 102 milliliters of pure alcohol.
Let's set up the equation based on the given information.
Let x represent the amount of solution b in milliliters.
Since Susan uses 100 milliliters less of solution a than solution b, the amount of solution a is (x - 100) milliliters.
We know that solution a has a concentration of 13% alcohol, which means that for every 100 milliliters, it contains 13 milliliters of alcohol.
Similarly, solution b has a concentration of 10% alcohol, which means that for every 100 milliliters, it contains 10 milliliters of alcohol.
Given that the resulting mixture has 102 milliliters of pure alcohol, we can set up the equation:
0.13(x - 100) + 0.1x = 102
Simplifying the equation, we have:
0.13x - 13 + 0.1x = 102
0.23x - 13 = 102
0.23x = 115
x = 115 / 0.23
x = 500
Therefore, Susan uses 500 milliliters of solution b to obtain a resulting mixture with 102 milliliters of pure alcohol.
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An online real estate website estimates that a fair price for Jerrold’s house would be $715,000. The market is
strong, so he is optimistic and puts the house on the market for $750,000. Two weeks later, the best offer
he’s gotten is $718,000, and so he accepts that offer. At what percent above the website’s estimate did he set
his asking price? At what percent below his asking price did he sell
Answer:
approximately 4.2667%
Step-by-step explanation:
To calculate the percentage above the website's estimate that Jerrold set his asking price, we can use the following formula:
Percentage above = ((Asking price - Website estimate) / Website estimate) * 100
Percentage above = (($750,000 - $715,000) / $715,000) * 100
Percentage above ≈ 4.895
Therefore, Jerrold set his asking price approximately 4.895% above the website's estimate.
To calculate the percentage below his asking price that Jerrold sold for, we can use the following formula:
Percentage below = ((Selling price - Asking price) / Asking price) * 100
Percentage below = (($718,000 - $750,000) / $750,000) * 100
Percentage below ≈ -4.2667
Therefore, Jerrold sold his house approximately 4.2667% below his asking price.
Fluency in the conversion of the metric system to the Imperial System is an essential skill in the nursing profession. Think of a situation in which negative effects have occurred due to incorrect dosage calculations? This situation could be a personal experience, the experience of someone you know, or a hypothetical. Explain how this error could have been avoided. How will you ensure that you avoid dosage errors due to metric conversions in your future career as a nurse?
In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.
~~~Harsha~~~
square root 3 radicand x squared 2 multiply square root 4 radicand x squared 3
The simplification of [tex]\sqrt{3x^2} * \sqrt{4x^2} is 2x^2\sqrt{3.[/tex]
The given expression is [tex]\sqrt{3x^2} * \sqrt{4x^2} .[/tex].
To simplify this expression, we can start by simplifying each square root individually and then multiply the simplified expressions.
[tex]\sqrt{3x^2[/tex] can be written as[tex]\sqrt{3} * \sqrt{x^2[/tex]. Since [tex]x^2[/tex] is a perfect square, its square root is x. Therefore, [tex]\sqrt{3x^2[/tex] simplifies to [tex]x\sqrt{3.[/tex]
Similarly,[tex]\sqrt{4x^2[/tex] can be written as[tex]\sqrt{4} * \sqrt{x^2.[/tex]The square root of 4 is 2, and the square root of[tex]x^2[/tex]is x. Thus, [tex]\sqrt{4x^2[/tex] simplifies to 2x.
Now, we can multiply the simplified expressions:
[tex]x\sqrt{3} * 2x.[/tex]
To multiply these terms, we multiply the coefficients (numbers in front) and the variables separately.
The coefficient of [tex]x\sqrt{3[/tex]is x, and the coefficient of 2x is 2.
Multiplying the coefficients gives us x * 2 = 2x.
The variables in x√3[tex]x\sqrt{3[/tex] are x and √3, and the variables in 2x are x and 1.
Multiplying the variables gives us x * x = x^2, and √3 * 1 = √3.
Therefore, the final simplified expression is [tex]2x^2\sqrt{3.[/tex].
In summary,[tex]\sqrt{3x^2 } * \sqrt{4x^2[/tex] simplifies to [tex]2x^2\sqrt{3.[/tex]
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Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £80 per night, how much will Tara pay for 5 nights?
Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.
Tara looked up hotel room prices for her holiday. A hotel had a 25% off sale on its prices. A VAT charge of 20% must be added at the end of the transaction, after any discount. If the regular price of a room is £80 per night, then we have to determine how much Tara will pay for 5 nights.
A 25% discount on £80 is: 25/100 * 80 = £20. So the discounted price of a hotel room is: £80 - £20 = £60.Next, we add VAT of 20% to the discounted price: 20/100 * £60 = £12.
Hence, the final price for one night is: £60 + £12 = £72.Since Tara needs to stay in the hotel for 5 nights, she will pay: £72 * 5 = £360.
Therefore, Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.
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33. It's 2 years since I was last in Rome. ⇒ I haven't 34. I saw Tom last on his wedding day. ⇒ I haven't 35. I last ate raw fish when I was in Japan. ⇒ I haven't 36. It's years since Mary last spoke French. ⇒ Mary hasn't 37. It's ten weeks since since I last had a good night sleep. I haven't 38. He last paid taxes in 1970. He hasn't last taxes 39. I last ate meat 5 years ago. ⇒ I haven't since 1970 40. It's 3 months since since the windows were cleaned. The windows haven't 41. It's years since I took photographs.
34. I haven't seen Tom since his wedding day.
36. Mary hasn't spoken French in years.
37. I haven't had a good night's sleep in ten weeks.
38. He hasn't paid taxes since 1970.
40. The windows haven't been cleaned for 3 months.
41. It's been years since I took photographs.
What is a perfect tense?The perfect tense is a grammatical construction used to express actions that are completed or have happened before the present moment. It indicates that an action was performed and finished in the past but has relevance or impact on the present.
There are three main forms of the perfect tense: present perfect, past perfect, and future perfect.
1. Present Perfect Tense: This tense is used to describe an action or event that started in the past and has a connection to the present. It emphasizes the result or completion of the action.
2. Past Perfect Tense: This tense is used to describe an action or event that occurred before another action or a specific point in the past. It expresses an action completed before a specified time in the past.
3. Future Perfect Tense: This tense is used to describe an action that will be completed before a specified time or point in the future.
Each form of the perfect tense can be used with different time references to indicate the relationship between the completed action and the present or other points in time.
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Please Help
8x + 1
115⁰
Uncle Joe made chocolate chip cookies. Michael ate 50% right away. Robert ate 50% of what was left. fourteen cookies remain. How many cookies did Uncle Joe make?
Answer:
50% ate uncle joe and 50% ate robert so, uncle joe make 14 cookies
Answer:
1. Michael ate 50% of the cookies, so the remaining cookies are 50% of the total. Let's denote the total number of cookies as T. So, after Michael ate his share, 0.5 x T cookies remained.
2. Robert then ate 50% of what was left, leaving only 50% of the cookies that were left after Michael ate. So, after Robert ate his share, 0.5 x 0.5 x T = 0.25 x T cookies remained.
3. We know that 14 cookies remained after Robert ate his share.
So, we can set up the equation 0.25 x T = 14 and solve for T:
T = 14/0.25 = 56
So, Uncle Joe made 56 chocolate chip cookies.
Step-by-step explanation:
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Solve the equation for the variable given. Solve for x
The solution for x, is x= (3m - b)/2. (Option-d)
To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.
First, we can multiply both sides of the equation by 3 to get rid of the denominator:
3m = 2x + b
Next, we can subtract b from both sides of the equation:
3m - b = 2x
Finally, we can divide both sides of the equation by 2:
x = (3m - b)/2
It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)
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