The each side of the square will be 8.
Therefore, the area of a rectangle with a height of 4 cm and a length of 16 cm is 64 cm². Since a square is a rectangle with equal height and width, we need to find a number that when multiplied by itself equals 64... which is the square root of 64. That's 8.8x 8 = 64.
A square is a two-dimensional planar object in geometry that has four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are fairly comparable, however a rectangle only has its opposing sides equal. Therefore, a rectangle is only referred to as a square if its four sides are of the same length.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
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Determine f(x+a)−f(x) for the following function.
f(x)=x−9‾‾‾‾‾√+6
The value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)
How to evaluate the function value?The function definition is given as
f(x) = √(x - 9) + 6
We start by calculating the function f(x + a)
So, we have
f(x + a) = √(x + a - 9) + 6
The function definition f(x + a) - f(x) is calculated as
f(x + a) - f(x) = √(x + a - 9) + 6 - (√(x - 9) + 6)
Open the bracket
So, we have
f(x + a) - f(x) = √(x + a - 9) + 6 - √(x - 9) - 6
Evaluate the difference
So, we have
f(x + a) - f(x) = √(x + a - 9) - √(x - 9)
Hence, the value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)
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umm I'm having difficulty in this question
its a indices question
Step-by-step explanation:
1. divide 10 with 5
2. using law indices, simplify the rest of the equation
3. you're done!
Answer: 5m³n³
Step-by-step explanation:
[tex]\frac{10m^5n^4}{2m^2n}[/tex] = [tex]\frac{5m^5n^4}{m^2n}[/tex]
= [tex]\frac{5m^3n^4}{n}[/tex]
= 5m³n³
or
[tex]10m^{5} n^{4}[/tex] ÷[tex]2m^{2}n[/tex] = [tex]5m^{5-2} n^{4-1}[/tex]
= [tex]5m^{3} n^{3}[/tex]
what is
x-6=2x-10 in the question
Answer:
x = 4
Step-by-step explanation:
x - 6 = 2x - 10
-2x -2x
-x - 6 = -10
+6 +6
----------------
-x = -4
÷-1 ÷-1
------------
x = 4
I hope this helps!
help
Use Structure Marika goes to dinner with some friends. She spends $x on dinner and leaves an 18% tip. Which expression can Marika use to find the total cost of the dinner, including the tip? Select all that apply.
Multiple select question.
cross out
A)
0.82x, because this gives the cost of the dinner without the tip.
cross out
B)
18x – 0.18x, because this gives how much Marika pays for the dinner.
cross out
C)
1.18x, because this gives the cost of the dinner and then 18% of that cost.
cross out
D)
x – 0.18x, because this multiplies the cost of the dinner and the tip by 18%.
cross out
E)
x + 0.18x, because this multiplies the cost by 100% and then by the tip percentage to give the total cost.
The expressions which Marika can use to find the total cost of the dinner, including the tip are:
1.18x, because this gives the cost of the dinner and then 18% of that cost.x + 0.18x, because this multiplies the cost by 100% and then by the tip percentage to give the total cost.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to write and solve this word problem, we would assign a variable (x) to the cost and then evaluate the resulting algebraic expression. Therefore, let x represent the cost.
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13. For Tom's birthday, he AND 5 friends went to the aquarium. If Tom uses his mom's credit
card and pays $11 for each ticket, what integer represents the amount of money Tom spent on
his mom's credit card.
A. - $66
B. $55
C. - $55
D. $66
Answer:
66
Step-by-step explanation:
he will pay 66 dollars
2(6x)(6x) +4(12x-9)(6x)]
Answer:
360x^2-216x
Step-by-step explanation:
2(6x)(6x) +4(12x-9)(6x)
We want to simplify
Multiply the first terms
72 x^2 +4(12x-9)(6x)
Distribute the 4 to each term in the first parentheses
72x^2 + (48x -36) 6x
Multiply
72x^2 +288x^2 - 218x
Combine like terms
360x^2-216x
What is the degree of the polynomial? 10x4-11x2 +6
Answer:
is it is 10^4 - 11^2 + 6 then the answer will be 4
Step-by-step explanation:
Use the table, along with dimensional analysis, to
convert the given square unit to the square unit
indicated.
18 in² to cm²
cm² (Round to the nearest hundredth as needed.)
1 in2
1 ft2
1 yd²
1 mi2
1 acre
= 6.5 cm²
= 0.09 m²
= 0.8 m².
= 2.6 km²
= 0.4 hectare (ha)
The required converted value of the dimension 18 in² in cm² is 117cm².
Given that,
To convert the given square unit to the square unit indicated. 18 in² to cm² with the help of the table, along with dimensional analysis.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given unit to convert
is
18 in² to cm²
Since 1 in² = 6.5 cm²
So now,
18 in² = 18* 6.5 cm² = 117 cm²
Thus, the required converted value of the dimension 18 in² in cm² is 117cm².
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Find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Answer:
The values of x are -6 + √5 and -6 - √5.
Step-by-step explanation:
It is given that we need to find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).
Now, let us suppose that these points are in 2D coordinate system such as;
=> (x1, y1) = (-6, -1)
and let us suppose that the other point is;
=> (x2, y2) = (x, 1)
Further, the distance between both these points them is 3 units and we can write this as;
=> d = √(x1 - x2)² + (y1 - y2)²
=> 3 = √(-6 - x)² + (-1 - 1)²
After squaring both the sides;
=> 9 = 36 + x² + 12x + 4
=> 9 = x² + 12x + 40
On rearranging the equation;
=> x² + 12x + 31 = 0
Now, this is a quadratic equation of the form ax² + bx + c = 0 in which;
=> x = -b ± √(b² - 4ac) / 2a
After putting values in this for obtaining the value of x on comparing we get;
=> x = -12 ± √(12² - 4×31) / 2
=> x = -12 ± √(144 - 124) / 2
=> x = -12 ± √20 / 2
=> x = -12 ± 2√5 / 2
=> x = 2(-6 ± √5) / 2
=> x = -6 ± √5
Therefore, the values of x are -6 + √5 and -6 - √5.
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please help me im begging you im really stuck on this one
Answer:
[tex]\frac{1}{2} - \frac{1}{6} = \frac{3}{6} - \frac{1}{6} = \frac{2}{6}[/tex]
Step-by-step explanation:
It does not say to simplify so 2/6 would be your answer.
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 13 defrosted beef patties, and 9 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers Incorrect: Your answer is incorrect. double cheeseburgers 19 Incorrect: Your answer is incorrect. regular cheeseburgers 15
From calculations, the numbers of each type we should make are;
4 plain burgers
2 double burgers
5 regular burgers
How to solve equation word problems?Let us denote each of the types of the hamburgers as;
Plain burgers is p
double cheeseburgers is d
regular cheeseburgers is r
Thus;
For Beef patty, the equation is;
p + 2d + r = 13 -----(1)
For buns, the equation is;
p + d + r = 11 ------(2)
For cheese, the equation is;
0 + 2d + r = 9 -----(3)
Solving these three equations simultaneously using an online calculator gives;
p = 4; d = 2; r = 5
From calculations, the numbers of each type we should make are;
4 plain burgers
2 double burgers
5 regular burgers
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Analyze the diagram below and answer the question that follows.
Which statement describes the shaded region in the Venn diagram?
Answer:
A
Step-by-step explanation:
The shaded region represents the intersection of L and N.
Find the y-coordinate of the midpoint for a line segment with endpoints at A (3 , -22) and B (8 , 4).
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{-22})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 8 +3}{2}~~~ ,~~~ \cfrac{ 4 -22}{2} \right) \implies \left(\cfrac{ 11 }{2}~~~ ,~~~ \cfrac{ -18 }{2} \right) \implies (5.5~~,~~\stackrel{\stackrel{y}{\downarrow }}{-9})[/tex]
Write the number in Scientific notation form.
0.0755
Answer:
The scientific notation will be 7.55 x 10^-2
Step-by-step explanation:
You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right
Hope this helps :)
Answer:
7.55 x 10⁻²
Step-by-step explanation:
0.0755
As we move the decimal two spaces to the right it will be a negative integer.
7.55 x 10⁻²
Look at attached image.
Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
The population density in country A is 113 people per square mile while in country B, it is 605 people per square mile.
Select one:
O a. Absolute difference: -492 people per square mile
Relative difference: -81.3%
O b. Absolute difference: 492 people per square mile
Relative difference: 435.4%
O c. Absolute difference: -492 people per square mile
Relative difference: -435.4%
O d. Absolute difference: -492 people per square mile
Relative difference: -8.1%
Answer: c
Step-by-step explanation:
The absolute difference is 492 people per square mile and Relative difference: 435.4%.
Thus, option (B) is correct.
To find the absolute difference between the two population densities, subtract the population density of country A from the population density of country B:
Absolute difference = Population density of country B - Population density of country A
= 605 people per square mile - 113 people per square mile
= 492 people per square mile
Now, the relative difference as a percentage, we use the formula:
Relative difference = (|Absolute difference| / Population density of country A) * 100
= (|492| / 113) * 100
= (492 / 113) * 100
= 4.35398230088 * 100
= 435.4%
Therefore, the absolute difference is 492 people per square mile
Relative difference: 435.4%
Thus, option (B) is correct.
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At a clothing store Kayla finds to sweaters she likes she wants to know if she has enough for both sweaters since $34.95 is about 35 she add $20.75 and 35 mentally and gets $55.75. How should Kayla compensate to go the exact sum of the two prices
In order to be able to compensate to get the exact sum of the two prices, Kayla should subtract $0.05 from $55.75.
How to get the exact sum?In order to be able to get the price of $55.75, Kayla rounded $34.95 up to $35 and then added $20.75.
To compensate for the rounding up and then get the exact sum of the prices of the sweaters, Kayla should subtract the difference between the $35 and the $34.95.
That difference is:
= 35 - 34.95
= $0.05
In conclusion, Kayla should subtract $0.05 from $55.75 to get $55.70.
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Zendaya has $540 to spend at a bicycle store for some new gear
and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of
bike gloves for $17.76.
She plans to spend some or all of the money she has left to
buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x, the number of outfits Zendaya can purchase while staying within her budget.
The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is
269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540
And the number of outfits Zendaya can buy is 3 .
According to the question we have been given that the
Total money Zendaya has = $540
Cost of new bicycle = $269.88
Cost of bicycle reflectors = $10.57
Cost of bike gloves = $17.76
Cost of biking outfits = $65.65
Let the number of outfits Zendaya purchases be x.
The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is
269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540
Now solving this inequality for x we get
269.88 + 42.28 + 17.76 + 65.65x = 540
329.92 + 65.65x = 540
65.65x = 210.08
x = 3.2 ≈ 3
Thus number of outfits Zendaya can buy is 3
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Please help me with this exercise!
Good and Gather Creamy Almond Butter provides the best deal based on cost.
What is cost?
A cost is an outlay needed to create, market, or prepare an item for regular usage. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.
Costs come in a variety of forms, both fixed and variable, but they are always recorded in the same way. Costs are deducted in a closing entry at the conclusion of the accounting period after being reported as costs on the income statement throughout the period.
Here, Good and Gathe Creamy Almond Butter is provided 16 ounces at $8.69 which is the best deal among the three based on cost.
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An airplane's altitude changed -378 feet over 6 minutes. What was the mean change of altitude in feet per minute?
Given the change in altitude and time, the mean change of altitude of the airplane is -63 ft/min.
What was the mean change of altitude in feet per minute?The mean change of altitude is simply know as the average rate of change.
The average rate of change is the sum total of the change in altitude divided by the sum total of the change in time.
It is expressed as;
r = Δa/Δt
Where r is rate of change, Δa is total change in altitude and Δt is the total change in time.
Given the data in the question;
Change in altitude Δa = -378ftChange in time Δt = 6minrate of change r = ?Plug the given values into the above formula and solve for r.
r = Δa/Δt
r = -378ft / 6min
r = -63 ft/min
Given the change in altitude and time, the mean change of altitude of the airplane is -63 ft/min.
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True or false. The three interior angles of a triangle have a sum of 180 degrees. If you know two or three angles are complementary, then the triangle is a right triangle
Answer:
true took the test on edge
At BEST BUY a television
is marked down 40% and the original cost of
the television is 800 dollars. What is the new price of that television.
Answer:
$320
Step-by-step explanation:
This answer is relieved by turning 40% into .4 and multiplying 800 by .4
“If the side of the square is increased by 2 feet, the area is increase by 12 sq. ft.”?
In mathematical expression the given expression is written as;
⇒ S + 12 = x² + 2x + 4
Where, S is area of square with side x.
What is Area of square?
A square is a two dimension figure in which all the sides are equal. Since all the sides are equal, the area would be two times the side of a square.
Let a side of square is x feet.
Then, Area of a square (S) = x²
When, The side of the square is increased by 2 feet. Then area is increase by 12 sq. ft.
Then, Side of a square = (x + 2)
Hence, Area of a square = (x + 2)²
s + 12 = x² + 2 * x * 1 + 2²
s + 12 = x² + 2x + 4
So, In mathematical expression the given expression is written as;
⇒ S + 12 = x² + 2x + 4
Where, S is area of square with side x.
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Solve this equation using indices
8 x 8^4x-3 = 512 x 8^x
The solution using indices for the given equation is (x = 5/3).
What is meant by indices?The small floating quantity that makes it appear after an amount or letter is known as an index or power. Indexes is the plural of index. Indices represent the number of times a quantity or letter has indeed been multiplied on its own.Indexes are also referred to as powers or exponents. It indicates how many times a provided number must be multiplied.The multiplication of x is equal to the base x raised to a power of p.For the given expression in question;
8 × 8⁴ˣ⁻³ = 512 × 8ˣ
By the property of indices, if the base is equal; then the powers are added with sign.
8⁴ˣ⁻³⁺¹ = 512 × 8ˣ
As, we know that 512 is the cube of 8.
8⁴ˣ⁻² = 8³ × 8ˣ
Apply the power law on right side;
8⁴ˣ⁻² = 8³⁺ˣ
As, the base on both side is equal, then the exponents are also equal.
Thus,
4x - 2 = 3 + x
Bring variables and constants on different sides.
4x - x = 3 + 2
3x = 5
x = 5/3
Therefore, the value of x is found as 5/3.
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LESSON 7.5 HELP PLEASE .
Find the missing side. Round to the nearest tenth.
By using trigonometric relations, we can see that the hypotenuse of the right triangle measures 30.8 units.
How to find the missing side on the right triangle?
Here we will need to use trigonometric relations. We want to find the value of x, which is the hypotenuse of the right triangle.
We know the measure of one angle, and the adjacent cathetus to said angle, the measures are:
angle = 65°
Cathetus = 13 units.
Now we can sue the trigonometric relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know, we can rewrite that as:
cos(65°) = 13/x
Now we just need to solve the equation for x, we will get:
x = 13/cos(65°) = 30.8 units.
We conclude that the hypotenuse of the right triangle measures 30.8 units.
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The distance between the point P(1, 4) and Q(4, 0) is ____.
Answer:
5
Step-by-step explanation:
The distance between any two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
(x₁, y₁) = (1, 4) and (x₂, y₂) = (4, 0)
So distance is
[tex]d = \sqrt {(4 - 1)^2 + (0 - 4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {(3)^2 + (-4)^2}\\\\d = \sqrt {25}\\\\d = 5[/tex]
Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?
A negative forty nine over 8 times d minus one tenth
B forty nine over eight times d minus one tenth
C negative three eighths times d minus one and three tenths
D negative three eighths times d minus one tenth
C is the correct answer...
Assuming a linear relationship, find the missing value in the table below.
Answer:
16
Step-by-step explanation:
4n -4 (pattern rule)
4x2 = 8-4 = 4
Which expression is equivalent to 8x3 − 64 when factored completely?
a
(2x − 4)(4x2 + 8x + 16)
b
(2x − 4)(4x2 − 8x + 16)
c
(2x + 4)(4x2 + 8x + 16)
d
(2x + 4)(4x2 + 8x − 16)
Answer:
A (2x − 4)(4x2 + 8x + 16)
Step-by-step explanation:
A
(2x − 4)(4x2 + 8x + 16) =
8x3 + 16x2 + 32x - 16x2 - 32x - 64 =
8x3 - 64
B
(2x − 4)(4x2 − 8x + 16)
8x3 - 16x2 + 32x - 16x2 + 32x - 64
8x3 - 32x2 - 64
c
(2x + 4)(4x2 + 8x + 16)
8x3 + 16x2 + 32x + 16x2 + 32x + 64
8x3 + 32x2 + 64x + 64
D
(2x + 4)(4x2 + 8x − 16)
8x3 + 16x2 - 32x + 16x2 + 32x - 64
8x3 + 32x - 64
Last year, Singer A performed one more than five times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 73. How many concert shows did each perform?
Singer A
Singer B
The number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
How to illustrate the information?Based on the information, the equation for last year will be:
A = 2B + 5
The number will be illustrated as:
A = B + 23
Therefore, it should be noted that we will equate the expression. This will be:
2B + 5 = B + 23.
Collect like terms
2B - B = 23 - 5
B = 18.
A = 23 + B = 23 + 18 = 41
Therefore, the number of concert shows that singer A and singer B attended will be 41 and 18 shows respectively.
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Last year, Singer A performed two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 23. How many concert shows did each perform?
Find the coordinates of the midpoint M
C(3,-5)and D(7,9)
Answer:
(2,7)
Step-by-step explanation:
we use the midpoint formula:
(3+-5/2 , 7+9/2)
(4/2, 14/2)
(2,7)
Answer: M(5,2)
Step-by-step explanation:
C(3,-5) D(7,9) the midpoint M(x,y)=?
x₁=3 x₂=7 y₁=-5 y₂=9
[tex]\displaystyle\\M(x,y)=(\frac{3+7}{2} ,\frac{-5+9}{2})\\\\M(x,y)= (\frac{10}{2},\frac{4}{2})\\\\ M(x,y)=(5,2) \\\\Thus,\ M(5,2)[/tex]