Answer:
x = 2
Step-by-step explanation:
(DG + EF) / 2 = AB
(5x - 4 + 8x + 2) / 2 = 12
13x - 2 = 24
13x = 26
x = 2
Write the standard form of the equation of a circle with radius 3 and center (11, 3)
Answer:
x² - 22x + y² - 6y + 121 = 0
Step-by-step explanation:
General Form of Equation
(x - h)² + (y - k)² = r²Solving
(x - 11)² + (y - 3)² = (3)²x² - 22x + 121 + y² - 6y + 9 = 9x² - 22x + y² - 6y + 121 = 0Answer:
(x+11)2+(y−3)2=81
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Step-by-step explanation:
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
\(\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}\)
\(\text{Required probability}=\dfrac{5}{8}\)
Therefore, the required probability is \(\dfrac{5}{8}\).
Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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Evaluating functions (pic attached)
f(x) = 2x³ - 3x² + 7
f(-1) = 2(-1)³ - 3(-1)² + 7
=> f(-1) = 2(-1) - 3(1) + 7
=> f(-1) = -2 -3 + 7
=> f(-1) = 2
f(1) = 2(1)³ - 3(1)² + 7
=> f(1) = 2(1) - 3(1) + 7
=> f(1) = 2 -3 + 7
=> f(1) = 6
f(2) = 2(2)³ - 3(2)² + 7
=> f(2) = 2(8) - 3(4) + 7
=> f(2) = 16 - 12 + 7
=> f(2) = 11
If a coin is flipped 60 times and a head comes up 36 times, what is the
relative frequency of a head coming up?
O A. 0.65
OB. 0.55
O c. 0.70
O D. 0.60
Answer: D
because the fraction is 60
The relative frequency of a head coming up is 0.60. The correct option is D.
What is a relative frequency?Relative frequency is a statistical measure that represents the proportion or fraction of times a particular value or event occurs in a given dataset or sample space. It is calculated by dividing the frequency of an event or value by the total number of observations in the dataset.
The relative frequency of a head coming up is the ratio of the number of times a head comes up to the total number of coin flips. In this case, a head comes up 36 times out of 60 flips. Therefore, the relative frequency of a head coming up is:
36/60 = 0.6
So, the answer is D. 0.60.
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Write the following powers of 6 exponential form: 6 x 6
The exponential form of 6 × 6, is written as: 6².
How to Write an Expression in Exponential Form?Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.
Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:
6 × 6 = 6².
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solve for X
please answer will give brainliest!!!
Final question - whats the answer?
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5
Income taxes that are withheld from employees' pay and not remitted as of the balance sheet date will constituted a ____________ to be verified by the auditors.
Income taxes that are withheld from employees' pay and not remitted as of the balance sheet date will constituted a liability to be verified by the auditors.
A tax placed on people or organizations in relation to their income or profits is known as an income tax. Tax rates multiplied by taxable income are typically used to calculate income taxes.
Tax rates might change depending on the taxpayer's attributes and source of income. As taxable income rises, the tax rate can also. Corporate tax, which is often assessed at a fixed rate, is the name given to the tax charged on businesses. Individual income is frequently subject to progressive taxation.
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I NEES HELP STATISTICS
Jaya has a piece of paper that is 16 inches long and 9 inches wide. She cuts it into pieces that are each 3 inches long and 2 inches wide What is the greatest number of 3-inch-by-2-inch pieces that Jaya can get? Enter the answer in the box.
Answer:
24
Step-by-step explanation:
Jayla has a couple of options for cutting her original piece of paper.
she can cut the 3 inch length from the long dimension of the paper, giving her 5 strips from the length and 4 strips from the width for a total of 20 3×2 piecesshe can cut the 3 inch length from the short dimension of the paper, giving her 3 strips from the 9-inch width, and 8 strips from the 16-inch length, for a total of 3×8 = 24 pieces.The greatest number of 3×2 pieces Jayla can cut is 24.
__
The attachments show the different cuts as described above.
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
If f (x) = 3x − 4, Find f (−1) Helpp
Answer:
f(x) = 3x-4
f(-1)= 3(-1) -4
f(-1) = -3-4
= -7
hope this helps uh!
Answer:
f(-1)= -7
Step-by-step explanation:
We are given the function:
f(x)=3x-4
We want to find f(-1). We must plug -1 in for x and solve.
f(-1)= 3(-1)-4
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 3 and -1.
f(-1)= -3 -4
Subtract 4 from -3.
f(-1)= -7
f(-1) is equal to -7.
Given m∠JSL = (4y − 10)° and bisects ∠JSL.
What is the value of y if m∠HSJ = (y + 43)°?
The value of y is 48.
To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.
Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:
m∠JSL = m∠HSL + m∠LSJ
Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:
4y - 10 = (y + 43) + (y + 43)
Simplifying the equation:
4y - 10 = 2y + 86
Subtracting 2y from both sides:
2y - 10 = 86
Adding 10 to both sides:
2y = 96
Dividing both sides by 2:
y = 48
Therefore, the value of y is 48.
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Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box. radians
The measure in radians for the central angle is approximately 0.7 radians.
To find the measure in radians for the central angle of a circle, we can use the formula:
θ = s / r
where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.
In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.
Plugging these values into the formula, we have:
θ = 5.6 cm / 8 cm
Simplifying the expression:
θ = 0.7
We may use the following formula to get the centre angle of a circle's measurement in radians:
= s / r
s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.
The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.
When these values are plugged into the formula, we get:
θ = 5.6 cm / 8 cm
Condensing the phrase:
θ = 0.7
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a brokerage firm keeps track of the total money spent on tesla stocks by their clients each day of the week, t(t). the function t(t) can be expressed as t(t)
The function t(t) can be expressed as t(t) = xt where x refers the number of stocks and t refers the number of days.
In math, the term function refers an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Here we have given that a brokerage firm keeps track of the total money spent on tesla stocks by their clients each day of the week, t(t).
And we need to find the function t(t) can be expressed.
While we looking into the given question, we have identified the that the function that represents the situation is written as t(t).
In this one t refers the number of days in the week they spend on the tesla stocks.
And here let us consider x be the number of stocks did the a brokerage firm keeps track.
So, the resulting function is written as,
=> t(t) = xt.
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Anthony’s locker is (x+4) ft. long and (x+2) ft. wide. Area = __________________ft.^2 Letter 1: ____
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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Factor x^3-12x+16. Show all work.
Answer: \((x-2)^{2}(x+4)\)
Step-by-step explanation:
For \(x^{3} - 12x + 16\) we can test out different values of x until the polynomial is zero, in this case 2 works so we can use long division or seperation of terms and factoring. But to show work, I will use seperation and factor.
\(x^{3} - 12x + 16 = x^{3} - 8 - 12x + 24\) = \((x-2)(x^{2}+2x+4) -12 (x-2)\)
= \((x-2)(x^{2}+2x-8)\)
Then we can factor the second-degree polynomial to get\((x-2)(x+4)(x-2)\) or \((x-2)^{2}(x+4)\)
ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
Which integer is 6√ closest to?
Answer:
2
Step-by-step explanation:
you would first take the square root of 6 and get 2.449...
then you would round it to the nearest whole number and get 2
Answer:
2
Step-by-step explanation:
if sqrt(4) = 2 and sqrt(9) =3, then sqrt(6) is between 2 and 3, but closer to 2.
Diego scored 9 points less than 3 times the amount of points that Noah scored in the basketball game. If Noah scored 27 points, how many points did Diego score?
Answer:
72
Explanation:
"3 ttimes" Noah's points means that we will multiply 27x3, getting 81. We are not done yet. He had 9 points less, and 81-9=72. 72 is our answer.
16. Find the angle between 0 and 2π coterminal with the angle
23π/3
The angle between 0 and 2π coterminal with the angle 23π/3 will be equal to 17π/3.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the angle between 0 and 2π coterminal with the angle 23π/3. The coterminal angle will be calculated as,
To calculate the coterminal angle subtract 2π from 23π/3. Solve mathematically,
Coternimal = ( 23π / 3 ) - 2π
Coterminal = 9 23π - 6π ) / 3
Coterminal = 17π / 3
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Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
help plsssssssssssssssssss
Answer: Multiply and divide
Step-by-step explanation: inverse are like opposites
8y-4y when x=2 and y=3 what is answer
Explanation:
8 (3) - 4 (3)
24 - 12
12
Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?
Answer:
No you dont have to solve it. And I believe it is perpendicular.
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.