The dividend divided by the price is the Dividend yield. The ratio of a company's annual dividend to its stock price.
Dividend Yield:
Dividend yield is expressed as a percentage and is a financial ratio (dividend/price) that indicates how much a company pays in annual dividends as a share price. The reciprocal of the dividend yield is total dividends/net income, which is the dividend payout ratio.
The dividend yield is an estimate of the dividend yield of a stock investment. Assuming dividends don't rise or fall, yields rise when stock prices fall. Conversely, when stock prices rise, they fall. Dividend yields vary with share price, so stocks that are rapidly declining in value may seem unusually high dividend yields.
The formula for dividend yield is as follows:
Dividend Yield = Annual Dividends Per Share/ Price Per Share
The dividend yield can be calculated based on the financial statements for the past year. This is permitted during the first few months after the company's annual report is issued. However, the more time has passed since the release of the annual report, the less relevant this data is to investors. Alternatively, investors may add the last 4 quarter dividends to reflect dividend data for the last 12 months. It is acceptable to use the dividend numbers that follow, but yields may be too high or too low if the dividend has been recently cut or raised.
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A group of scientists have been studying the rate at which a certain strain of bacteria grows. The scientists started with a single bacterium, and this particular sample doubles once every 24 hours. From this information, they have determined that the function for the growth of the bacterial sample is
b(t) = 2t
where t represents the amount of time that has passed in days and b(t) represents the number of bacteria in the sample at time t.
One scientist wants to examine the growth only between days 2 and 6 (inclusive). What are the minimum and maximum values of the bacterial population along this interval?
The minimum value of the bacterial population on the interval [2, 6] is 4, and the maximum value is 64.
How to find the minimum and the maximum valueTo find the minimum and maximum values of the bacterial population along the interval [2, 6], we need to evaluate the function b(t) at t = 2 and t = 6, respectively, and then compare the results.
at t = 2
b(2) = 2^2 = 4, which means that after 2 days, the sample has 4 bacteria.
at t = 6
b(6) = 2^6 = 64, which means that after 6 days, the sample has 64 bacteria.
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what is the seventh root of 128
Answer:
2
Step-by-step explanation:
The seventh root of a number is the number that would have to be multiplied by itself 7 times to get the original number so if you multiply 2 by itself 7 times you'd get 128
Determine the type of distribution and the best measure of center and spread of the data set. 1, 7, 11, 14, 17, 17, 17, 21, 21, 23, 23, 26 The distribution is SO and (Type integers or decimals rounded to the nearest tenth as needed.) ... best represent the data set.
The mean of the data is 16.5 and the standard deviation is 7.28
What is the distribution of the dataThe given data set is a small sample of 12 observations.
To determine the type of distribution, we can first create a histogram or a boxplot of the data.
A histogram of the data shows that the distribution is unimodal and slightly right-skewed.
Alternatively, we can calculate the skewness of the data. If the skewness is close to zero, then the data is approximately symmetric. If the skewness is positive, then the data is right-skewed. If the skewness is negative, then the data is left-skewed.
Calculating the skewness of the data set, we get:
skewness = (n / ((n - 1) * (n - 2))) * Sum[(xi - x-bar)^3 / s^3]
where n is the sample size, x-bar is the sample mean, s is the sample standard deviation, and Sum is the sum of the values in the data set.
Using this formula, we get a skewness of approximately 0.456, which indicates that the distribution is slightly right-skewed.
Based on these findings, we can conclude that the distribution of the data set is approximately normal, but slightly right-skewed.
To find the best measure of center and spread, we can calculate the sample mean and sample standard deviation, respectively.
Sample mean:
mean = (1 + 7 + 11 + 14 + 17 + 17 + 17 + 21 + 21 + 23 + 23 + 26) / 12 = 16.5
Sample standard deviation:
s = sqrt((1/11) * [(1 - 16.5)^2 + (7 - 16.5)^2 + ... + (26 - 16.5)^2]) = 7.28
Therefore, the best measure of center for this data set is the sample mean of 16.5, and the best measure of spread is the sample standard deviation of 7.28.
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An angle in a circle with vertex on the circle itself___AngleCentral angleInscribed angleChord
Answer:
Inscribed angle
Step-by-step explanation:
Central angles have the vertex as the center of the circle, and chords are not angles
What is the area of the shape for the quilt block?
ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2
The area for the given geometric shape will be 166.5 inch² i.e. B.
What are geometric shapes, exactly?
Geometric forms are mathematical representations that represent the shape of everyday items. Geometric forms with boundary lines, angles, and surfaces are known as shapes. There are several 2d and 3d forms.
Shapes can also be classed based on their regularity or homogeneity. A symmetrical regular form, such as a square or circle, is common. Asymmetry can take on irregular shapes. They're also referred to as organic forms or freeform shapes. A tree, for example, has an irregular or organic shape.
In plane geometry, two-dimensional forms are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. In solid geometry, the three-dimensional shapes are the cube, cuboid, and sphere.
Now,
Area of the shape will be = Area of rectangle + Area of triangle
For rectangle, length=16 inch, Breadth=9 inch
For triangle, base=6 inch, height=7.5 inch
then area of shape=l*b+1/2*b*h
=16*9+1/2*6*7.5
=144+22.5
=166.5 inch²
hence,
The area for the given geometric shape will be 166.5 inch².
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A triangle has angles of −3,2+8, 3−17. Solve for g and find the measures of the
angles
The measures of the angles of the triangle are:
Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees
To solve for g and find the measures of the angles of the triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. This means that:
−3 + (2+8) + (3−17) = 180
Simplifying the equation, we get:
−3 + 10 + (−14) = 180
−7 = 180
To solve for g, we need to isolate it on one side of the equation. To do this, we can add 7 to both sides of the equation:
g = 180 + 7
g = 187
Now, we can plug g back into the original equation to find the measures of the angles:
−3 + (2+8) + (3−17) = 187
−3 + 10 + (−14) = 187
−7 = 187
Therefore, the measures of the angles of the triangle are:
Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees
I hope this helps! Let me know if you have any further questions.
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What is the conversion of 200lbs to kg ?
Answer: 90.718 kilograms
Step-by-step explanation:
PQRST is a solid regular pyramid on a square base QRST
where QR = 20 cm and edge PQ = 30 cm.
Find
a the height of P above the base QRST
b the angle that PS makes with the base QRST
c the total surface area of the pyramid including
the base.
Answer: a) To find the height of the pyramid, we can use the Pythagorean theorem. Let H be the height of the pyramid, and let M be the midpoint of QR. Then, PM is half of PQ, which is 15 cm. We can use the Pythagorean theorem to find H:
H^2 = PQ^2 - PM^2
H^2 = 30^2 - 15^2
H^2 = 675
H = sqrt(675) = 5 sqrt(3) cm
b) To find the angle that PS makes with the base QRST, we can use trigonometry. Let A be the foot of the perpendicular from P to the base QRST, and let B be the midpoint of PS. Then, we have:
tan(angle PSB) = AB / PB
Since triangle PAB is a right triangle, we can use the Pythagorean theorem to find AB:
AB^2 = AP^2 - PB^2
AB^2 = H^2 + (PQ/2)^2 - PB^2
AB^2 = (5 sqrt(3))^2 + (15/2)^2 - PB^2
AB^2 = 225/4 + 75 - PB^2
AB^2 = 375/4 - PB^2
Since triangle PBS is also a right triangle, we can use the Pythagorean theorem to find PB:
PB^2 = PS^2 - BS^2
PB^2 = (2 H)^2 - (PQ/2)^2
PB^2 = 4 (5 sqrt(3))^2 - (15/2)^2
PB^2 = 500 - 56.25
PB^2 = 443.75
Substituting these values into the equation for tan(angle PSB), we get:
tan(angle PSB) = sqrt(375/4 - 443.75) / sqrt(443.75)
tan(angle PSB) = -0.4385
Since angle PSB is in the second quadrant, we have:
angle PSB = 180 degrees + arctan(-0.4385) = 152.4 degrees (rounded to one decimal place)
c) To find the total surface area of the pyramid, including the base, we can divide the pyramid into four triangular faces and a square base. The area of each triangular face can be found using the formula:
area = (1/2) base * height
where the base is the length of one edge of the square base, and the height is the height of the pyramid. The area of the base is simply the area of the square QRST, which is (20 cm)^2 = 400 cm^2. Therefore, we have:
area of each triangular face = (1/2) (20 cm) (5 sqrt(3) cm) = 50 sqrt(3) cm^2
total surface area = 4 (50 sqrt(3) cm^2) + 400 cm^2 = 200 sqrt(3) cm^2 + 400 cm^2
total surface area = (200 + 200 sqrt(3)) cm^2 ≈ 532.4 cm^2 (rounded to one decimal place)
Step-by-step explanation:
for a period of time, an island's population grows exponentially. If the population doubles every 34 years and the current population is 1233, what will the population be 6 years from now?
As a result, the island's population will be about 1397.33 persons in 6 years.
What is exponent?An exponent, also called a power or index, is a mathematical operation that indicates the number of times a base number is multiplied by itself. Exponents are written as a superscript number to the right of the base number. Exponents can be positive or negative, and they can be whole numbers or fractions. A positive exponent tells us to multiply the base number by itself, while a negative exponent tells us to divide the base number into 1. Exponents can be used to simplify and solve many mathematical problems, and they are an important part of many areas of mathematics, including algebra, calculus, and geometry.
Here,
If the population of the island doubles every 34 years, we can use the exponential growth formula to determine the population after a certain period of time:
P = P0 * 2ⁿ÷³⁴
where P is the population after time t, P0 is the initial population, and t is the time elapsed in years.
We know that the current population is 1233, so P0 = 1233. We want to find the population 6 years from now, so t = 6. Plugging these values into the formula, we get:
P = 1233 * 2⁶÷³⁴
P ≈ 1397.33
Therefore, the population of the island will be approximately 1397.33 people 6 years from now.
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The area of a square is (16x²+24x+9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
The length of each side of the square by factoring the area expression are (4x+3).
Area of a square:A square's area is equal to the square of each side since all of its sides are the same length.
The following is the formula for determining a square's area:
A = L²
where L is the length of each side of square.
Given the area of a square expressed as 16x² + 24x + 9
Factorize 16x² + 24x + 9
16x² + 24x + 9
= 16x² + 12x + 12x + 9
= 4x(4x+3) + 3(4x+3)
= (4x+3)²
Hence the length of each side of the square is (4x+3).
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what is the definition of a subset and how does it work?
A subset is when all elements of any set A are present in another set B. Its working has been explained below.
Let us take two sets on random i.e., set A and set B. If we find that all elements of set A can be found in set B as well, we deem it to be a subset of set B. If we were to explain in simpler terms, we can say that set A is a part of set B.
Let us further assume that set A has the elements {1,2,3} and set {1,2,3,4,5,6}. From what we can see is that all elements in set A are also present in set B. This means that set A is a subset of set B.
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Can you help me with this problem quickly? Thank you ✨
Answer:
pair c has the inverse functions
Write the solution set of the given homogeneous system in parametric vector form. x1 + 2x2 - 15x3 = 0 2x1 + x2 - 15x3 = 0 - X1 + X2 = 0 where the solution set is x = X1 X2 X3 x = x3______
In the given homogeneous system in parametric vector form, where the solution set is x = x₁ x₂ x₃, x = x₃. where the value of x₁ = 5k, x₂ = 5k and x₃ = 10k.
The system is
x₁ + x₂ - 15x₃ = 0 .......(1)
2x₁ + x₂ - 15x₃ = 0 .......(2)
-x₁ + x₂ = 0
We write the system in the matrix form or AX = 0
Where A = ( 1 2 -15) and X = ( x₁)
( 2 1 -15) (x₂)
( -1 1 0) (x₃)
Now, | A | = [15] -2 [-15] -15 [2+1]
= 15 + 30 - 45
= 0
∴ Since, | A | = 0, ∴ Given system has non-trivial solution.
Let x₃ = k
∴ From equation (1), x₁ + x₂ = 15k
from equation (2), 2x₁ + x₂ = 15k × 2
4x₁ + 2x₃ = 30k - x₁ + 2x₂ = 15k
= 3x₁ = 15k
∴ x₁ = 5k
and x₂ = 15k - 2x₁ = 15k - 10k
∴ x₂ = 5k.
To find x₃ = x₁ + x₂
x₃ = 5k + 5k
∴ x₃ = 10k.
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(D^3+1)y=(e^x+1)^2 solve this differential equation
The solution to the differential equation is:
[tex]y = \int\limits [(2e^(2x) + 2e^x - 3D^2(e^x+1)^2) / (D^3+1)^2] dx + C[/tex]
What is a differential equation?
Any equation involving the derivatives of one dependent variable with respect to another independent variable is referred to as a differential equation. Differential equations are widely used in mathematics, but they also play an important role in the sciences of medicine, chemistry, physics, and engineering.
To solve this differential equation, we need to find a function y(x) that satisfies the equation. Here's how to do it:
First, we can divide both sides of the equation by D³ + 1 to get:
y = (eˣ+1)² / (D³+1)
Next, we can take the derivative of both sides with respect to x:
dy/dx = d/dx[(eˣ+1)² / (D³+1)]
Using the quotient rule of differentiation, we get:
dy/dx = [(D³+1)(2eˣ)(eˣ+1) - (eˣ+1)²(3D²)] / (D³+1)²
Simplifying the numerator, we get:
[tex]dy/dx = [2e^{(2x)} + 2e^x - 3D^{2}(e^x+1)^2] / (D^3+1)^2[/tex]
Therefore, the solution to the differential equation is:
[tex]y = \int\limits [(2e^(2x) + 2e^x - 3D^2(e^x+1)^2) / (D^3+1)^2] dx + C[/tex]
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How to convert 128 oz to gallon?
The converted values of the volume fluid ounce to gallons is given by :
128 oz = 1 gallons.
To measure the volume of any liquid fluid ounces and gallons are used as one of the standard form .Relation to convert fluid ounce to gallons in standard form is given by :
1 fluid ounce = 0.0078125 gallons
Now multiply both the side by 128 to get the required relation ,
⇒ ( 128 × 1 ) fluid ounce = ( 128 × 0.0078125 ) gallons
⇒ 128 fluid ounce = 1 gallons
Therefore, using the standard relation of fluid ounce to gallons the value of 128 oz is equal to 1 gallons .
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Gabe has an aquarum that is 19 1/2 inches long 8 1/2 inches wide and 12 1/2 inches tall. What is the volume of the aqurium in cubic inches
The volume of an aquarium is 2071.875 cubic inches. Below, you will learn how to solve the problem.
The volume of an aquarium can be calculated by multiplying its length, width, and height. In this case, the length is 19 1/2 inches, the width is 8 1/2 inches, and the height is 12 1/2 inches.
To calculate the volume, we need to multiply these three measurements together:
Volume = Length × Width × Height
Volume = (19 1/2) × (8 1/2) × (12 1/2)
Volume = 2071.875 cubic inches
So the volume of the aquarium is 2071.875 cubic inches.
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A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 9 inches has volume V = 3πx^2 + 42πx + 147π, what is the cone’s radius r in terms of x? (15 pts)
The radius of the cone in terms of x is: r = √(x² + 14x + 49). This can be solved by using volume of cone formula.
What is the Volume of a Cone?Volume of cone (V) = 1/3πr²h, where r is the radius and h is the height of the cone.
Given:
h = 9 in.
V = 3πx² + 42πx + 147π
r = ?
Substitute
3πx² + 42πx + 147π = 1/3(π)(r²)(9)
3π(x² + 14x + 49) = (π)(r²)(3)
Divide both sides by 3π
x² + 14x + 49 = r²
Square on both sides
√(x² + 14x + 49) = r
r = √(x² + 14x + 49)
Therefore, the radius of the cone in terms of x is: r = √(x² + 14x + 49).
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Rhett read of his book over the weekend. On Monday, he read 31 more
pages. If he has read 214 pages so far, the equation below can be used to
find p, the total number of
pages in the book.
p+31 = 214
How many total pages are in Rhett's book?
The total number of pages in Rhett's book is 183 pages.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a piece of true number information.
To determine the total number of pages in Rhett's book, we need to solve for p in the equation:
p + 31 = 214
First, we can separate p on one side of the equation by subtracting 31 from both sides:
p + 31 - 31 = 214 - 31
Simplifying:
p = 183
Therefore, the total number of pages in Rhett's book is 183 pages.
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what is the 58 percentage conversion in decimal ?
The conversion value of the given quantity 58 percentage in decimals is equal to 0.58.
Percentage is that quantity of mathematics which represents the fraction of 100.One percentage converted to decimals is written as :
1 percentage = ( 1 / 100 )
= ( 0.01 )
Now Get the value in decimals for 58 percentage using conversion factor we have ,
= 58 percentage
= ( 58 / 100 )
= ( 0.58 ) in decimal form
Therefore, the value which we get after conversion of percentage to decimals is equal to 58 percentage = 0.58 in decimals.
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What is H in the limit definition of a derivative?
The limit definition of the derivative is written as [tex]f '(x) &= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]. Here, h is defined as (x₂ – x₁) or ∆x or the change in x.
The limit definition of the derivative is also known as the difference quotient or increment definition of the derivative. This is a product of the input value difference, (x + h) - x, and the function value difference, f(x + h) - f(x). This can be calculated using the difference quotient formula as follows,
[tex]\begin{aligned}f '(x) &= \lim_{h \to 0}\;\text{(difference quotient)}\\f '(x) &= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\end{aligned}[/tex].
Here, f(x) represents (y₁), f(x+h) represents (y₂), x represents x₁, x+h represents x₂, h represents (x₂ – x₁) or ∆x or the change in x, Lim represents the slope M as h→0, and f (x+h) – f (x) – represents (y₂ – y₁).
This provides a measurement of the function's average rate of change over an interval. In other words, this provides the current rate of change.
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Which theorem or postulate proves that â–³ABC and â–³DEF are similar?Select from the drop-down menu to correctly complete the statement.The two triangles are similar by the ________.A. AA Similarity PostulateB. SSS Similarity TheoremC. SAS Similarity Theorem
The postulate that can be used to prove that triangles ABC and DEF are similar triangles is A. AA Similarity Postulate.
What is the AA Similarity Postulate?According to the AA triangle similarity criterion, two triangles are considered similar if their three angles are identical to one another. Equi-angular triangles are comparable in a nutshell. As just two pairs of angles must be equal in order for the third pair to be automatically equal thanks to the angle sum property of triangles, the proper term for this criterion would then be the AAA(Angle-Angle-Angle) criterion. However, we refer to it as the AA criterion instead.
We have, triangles ABC and DEF with:
two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.
Therefore, the postulate that has been used to prove that the triangles ABC and DEF are similar triangles is AA Similarity Postulate.
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The complete question is:
Which theorem or postulate proves that â–³ABC and â–³DEF are similar?Select from the drop-down menu to correctly complete the statement. The two triangles are similar by the ________. A. AA Similarity Postulate B. SSS Similarity Theorem C. SAS Similarity Theorem
What is K³+ 6k² +9k = 0
The solutions to the equation k³ + 6k² + 9k = 0 are given as follows:
k = 0 and k = -3.
How to solve the equation?The equation for this problem is defined as follows:
k³ + 6k² + 9k = 0.
Simplifying the common factor k, we have that:
k(k² + 6k + 9) = 0.
The first solution is of:
k = 0.
The second solution is obtained as follows:
k² + 6k + 9 = 0
Applying the perfect square trinomial:
(k + 3)² = 0
k + 3 = 0
k = -3.
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Multiply and fill in the products. Then help little Johnny find the missing number on each balloon Stairs and balloons
The solution is, Alice makes 3 bunches with 2 red balloons and 5 blue balloons.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
We are given that Alice is making balloon bunches from 6 red balloons and 15 blue balloons.
She wants the same number of red balloons and the same number of blue balloons in each bunch.
We have to find the greatest number of balloon bunches that Alice can making from all the balloons.
We will find the HCF of 6 and 15
6 = 2×3
15 = 3×5
Common factor of 6 and 15 is 3.
Hence, HCF of 6 and 15=3
Therefore, Alice makes 3 bunches with 2 red balloons and 5 blue balloons.
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An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$250 with a standard deviation of o - $ 5000. The distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses. If we create a sampling distribution with a sample of 64 homeowners, what is the probability that a sample average exceeds $5100?
The probability that the sample average exceeded 5100 is given as follows:
0%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 250, \sigma = 5000, n = 64, s = \frac{5000}{\sqrt{64}} = 625[/tex]
The probability that a sample average exceeds $5,100 is one subtracted by the p-value of Z when X = 5100, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (5100 - 250)/625
Z = 7.76
Z = 7.76 has a p-value of 1.
1 - 1 = 0.
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solve for x (please help me)
Answer:
6
Step-by-step explanation:
∆ABC is congruent with ∆BDE
so BD/BA = DE/AC
=> 8/(8 + 16) = x/18
8/24 = x/18
24x = 8(18)
24x = 144
x = 144/24 = 6
Answer: X = 6
Step-by-step explanation:
Since the triangles are congruent (similar), then
8/24 = X/18
Cross Multiply
X x 24 = 8 x 18
24X = 144
X = 144/24
X = 6
What is the conversion of 48 c to f ?
The converted value of Celsius to degrees Fahrenheit using the standard formula is 48 degrees Celsius equals to 118.4 degree Fahrenheit.
Measurement units which help us to measure temperature in standard form using the units degrees Celsius and Fahrenheit .Scale factor using which we relate the two units of the temperature Celsius and Fahrenheit is equal to :
(°C × 9/5) + 32 =°F
Now , to get the value of 48 degree Celsius and converted value into Fahrenheit by applying the above formula we have,
(48°Celsius × 9/5) + 32
= ( 432 / 5 ) + 32
= ( 86.4 ) + 32
= 118.4°Fahrenheit
Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 48 degrees Celsius is equivalent to 118.4 Fahrenheit.
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what is the yield of 5x2?
The yield of 5x2 is 10
Yield is a term used in mathematics to describe the output or result of a calculation or operation. In this case, we are looking at the yield of 5 multiplied by 2 (5x2).
When we multiply two numbers together, we are finding the yield or product of those numbers. In this case, 5 multiplied by 2 gives us a yield of 10. So, the yield of 5x2 is 10.
It's important to note that yield can be used in different contexts in mathematics, such as in finance to describe the return on an investment or in chemistry to describe the amount of product obtained from a chemical reaction. But in this case, we are simply looking at the yield of a multiplication operation.
In summary, which means that when we multiply 5 and 2 together, we get a result or output of 10.
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Y=2/3x+8
Y=1/2x+10
What is x?
Answer:
May you please give me the brainliest answer:
To find the value of x, we can set the two given equations equal to each other, since they both represent the same value of y:
2/3x + 8 = 1/2x + 10
We can simplify this equation by first getting rid of the fractions. To do this, we can multiply both sides of the equation by the least common multiple of the denominators, which is 6:
6(2/3x + 8) = 6(1/2x + 10)
4x + 48 = 3x + 60
Next, we can isolate the x term on one side of the equation by subtracting 3x from both sides:
4x - 3x + 48 = 60
Simplifying this gives:
x + 48 = 60
Finally, we can isolate x by subtracting 48 from both sides:
x = 60 - 48 = 12
Therefore, x = 12.
car a leaves the grand canyon at noon. it travels at 80 mph, but stops at 3 pm for an hour. car b leaves the grand canyon at 2 pm and travels at 90 mph without stopping on the same route as car a. when does car b catch up with car a?
Answer:
Step-by-step explanation:
can the tangent constraint be applied between a line and an arc?