[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]
2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units
Answer:
9 inches ; 0.7 units ; m units
Step-by-step explanation:
The area of a square is give as :
The square of the side length of the square ; that is ;
Area of square = s² ;
Where s =! Side length of the square
Hence ;
A square with area = 81 in²
Length of its side = sqrt(81) = 9 inches
Area of square = 0.49 unit²
Length of its side = sqrt(0.49) = 0.7 units
Area of square = m² unit²
Length of its side = sqrt(m²) = m units
What are 3 digits that equal 24
Answer:
1 x 24, 2 x 12, 3 x 8, and 4 x 6.
Hope this helps
Have a great day
Step-by-step explanation:
Answer:
8+8+8 is the answer give brainliest
Evaluate the expression:
5(10 + d?) for d=2
Answer:
60
Step-by-step explanation:
this uses the distribution property
first plug in 2 for d
5(10+2)
then distribute the 5 to both numbers in the parentheses
50+10=60
Answer:
The answer is 60
Step-by-step explanation:
First you have to plug in the 2 in place of the variable in the equation. Then add 10+2 first. After you add you will get 12, now you do 5x12 and get 60
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
Learn more about the exponential function here;
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The probability that Scott will win his next tennis match is 3/5
What is the probability that he will not win?
Answer:
the probability that he will not win is 2/5 cause it's just the chance that he doesn't win
someon help me answer this!!
Answer:
12.0 units is the answer
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]
Rounding off,
d = 12.0 units
Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m
Answer:
The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.
Step-by-step explanation:
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
Find the missing side length.
AJKL ~ AGKH
The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
Prove that Newton-Raphson method for solving the equation [tex]x^{k} e^{x} = 0[/tex] (where k is constant) is given by this formula: [tex]x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}[/tex]
We have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]
To prove that the Newton-Raphson method for solving the equation [tex]x^k e^x = 0[/tex], where k is a constant, is given by the formula
[tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,[/tex]
we can start by considering the iterative process of the Newton-Raphson method.
Given an initial guess [tex]x_n[/tex], we want to find a better approximation [tex]x_{n+1}[/tex]that is closer to the root of the equation [tex]x^k e^x = 0.[/tex]
The Newton-Raphson method involves the following steps:
Calculate the function value [tex]f(x_n) = x_n^k e^x_n[/tex] and its derivative [tex]f'(x_n) = k x_n^(k-1) e^x_n.[/tex]
Find the next approximation x_{n+1} by using the formula:
[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]
Let's apply these steps to our equation [tex]x^k e^x = 0[/tex]:
Calculate the function value and its derivative:
[tex]f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n[/tex]
Find the next approximation x_{n+1} using the formula:
[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]
Substituting the function value and its derivative:
[tex]x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)[/tex]
Simplifying the expression by combining like terms:
[tex]x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n[/tex]
Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]
for such more question on Newton-Raphson iteration
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PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer:
because cfd eaquls a+b lllllllllll
Answer:
Step-by-step explanation:
IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.
The graph below shows the solution set of which inequality ?? HELP FASTTT
Answer:
A.The graph shows the solution set of the equality √x < -1
(No Solutions)
simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8
Answer:
Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8
Answer:
B.) -1/8
Step-by-step explanation:
You flip the problem because of the negative exponent
[tex]\frac{1}{-2^3}[/tex]
This makes the exponent positive
Expand the denominator
(-2) * (-2) * (-2) = 4*(-2) = -8
1/-8 = -1/8
Help thank you so much
Answer:
1.c
2.b
3.a
4.d
5.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
find the distance between (-5 3) and (4 -5)
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √ ( x ₂ − x ₁ )² + ( y ₂ − y ₁ ) ²
Substitute the actual values of the points into the distance formula.
√ ( 4 − ( − 5 )) ² + ( ( − 5 ) − 3 ) ²
Simplify:
√ 145
The result can be shown in multiple forms.
Exact Form:
√ 145
Decimal Form:
12.04159457 … ≈ 12.04
Which pair of expressions are equivalent?
27x + 45y and 7(9x + 7y)
2x + 18y and 2(x + 9y)
2(15x + y) and 30x + 15y
10(4x + 5y) and 20x + 10y
Answer:
second one
Step-by-step explanation:
Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2
So it will be 2x+18y
2*9=18
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..
An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
i) the sales for the 10th month.(46539.86)
ii) the total sales for the first year.(477513.80)
Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7
Answer:
it's 423.4 miles
Step-by-step explanation:
sotry for taking a while I didn't get your notification
HELP ME WITH THIS GRAPH PLSSSSSSS
Answer:
It would be 6 miles per hour
Step-by-step explanation:
the points are right above of 5 so it would have to be 6.
Mendeleev was the first to organise elements based on their similarities *
True
False
Answer: True
Step-by-step explanation:
50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)
Answer:
3a-b/(x-b)=1/(x+1)Doing criss cross multiplication
3a(x+1)-b(x+1)=x-b
3ax+3a-bx-b=x-b
3ax-bx-x=b-3a-b
x(3a-b-1)=-3a
x=3a/(3a-b-1)
Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?
Answer:
A is the correct answer .
Step-by-step explanation:
Hope this helps .
The equation that allows you to solve the given equation is (x-3)(2x+5).
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.
The given quadratic equation is:
[tex]2x^{2} -15=x[/tex]
[tex]2x^{2} -x-15=0[/tex]
[tex]2x^{2} -6x+5x-15=0[/tex]
[tex]2x(x-3)+5(x-3)=0[/tex]
[tex](x-3)(2x+5)=0[/tex].......(1)
So, the required equation is equation(1).
Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).
To get more about quadratic equations visit:
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Halle el perimetro de las siguientes figuras.
look at pic 10 pts will mark brainilest
Answer:
The Answer is C
Step-by-step explanation:
2.00/5= C
can i have brainlist please :)
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
Verifal angles I think but I'm not necessarily sure!!!
Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answer:
80 miles for the .9 one.
Step-by-step explanation:
Can someone help me solve this one step equation
Answer:
b = -108
Step-by-step explanation:
Step-by-step explanation:
Given
[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]
Hope it will help :)❤
A family goes out to dinner, and their bill before tax costs $68. Tax is 7.5%. They give a tip of 20% of the bill, calculated after adding tax. What was the total cost of their dinner, after-tax, and tip?
Answer
87.72
Step-by-step explanation:
7.5% of 68 is 5.1 so 68+5.1=73.1
20% of 73.1=14.62 sooooo 14.62+73.1=87.72