Answer: 1. C 2.B 3.C
Step-by-step explanation:
Answer: 1. C 2.B 3.C I think hope this helps!
Step-by-step explanation:
Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.
Answer:
B because when at B angels are the same qnd A and c are also same
Help please? :) I need some help !!!!!!!!!
Answer:
i gotchu step sis u need help with them laundry's
Step-by-step explanation:
Answer:
Answer:
answer is 8
Step-by-step explanation:
put the equations equal to each other
then simplify
it is bcz of a angle type of parallel lines
corresponding angle
Step-by-step explanation:
Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?
Answer:
$17.33
Step-by-step explanation:
3.5×4.95
=17.325
= $17.33
The length of a side of a square is given by the expression 2x+1, and its perimeter is 56. Calculate the length of a side of the square.
Answer:
8x+4
Step-by-step explanation:
8x+4=56
56-4=52 52 divided 8 = 6.5
The mean of the following discrete probability distribution is: * P(X) 0.2 0.1 0.4 0.3 O 5 2266X 21 5.6 20
The mean of the given discrete probability distribution is 11.34.
To find the mean of a discrete probability distribution, you need to multiply each value by its corresponding probability and then sum them up.
Let's calculate the mean using the given probability distribution:
Mean = (0.2 * 5) + (0.1 * 21) + (0.4 * 5.6) + (0.3 * 20)
Mean = 1 + 2.1 + 2.24 + 6
Mean = 11.34
Therefore, the mean of the given discrete probability distribution is 11.34.
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Simplify 6 + 2(5 – 8)2 + 7
The answer is very simple. .
6 + 2 (5 - 8 ) ² + 7
Firstly we solve what is inside the parenthesis
\(6\text{ + 2}\cdot(-3)^2\text{ + 7}\)\(6\text{ + 2 (9) +7}\)Then we solve the multiplications
\(6\text{ + 18 + 7 }\)Finally we solve the sums.
\(\text{ 6 +18 + 7 = }31\)That is the solution.
Let Z denote the integers, and let fn: Z → Z be defined for n = 0, 1, 2, ..., by the following recursion: • fo (x) = x for all x EZ • fn(x) = 21-1(x) for all x E Z when n > 0 Points out of 1.00 Flag question Which of the following is a valid closed form solution for f(x)? Select one:a. f (x) = 2nx o b. fn(x) = x^2n c. fn(x) = n-x d. fn(x) = 2^n + x e. fn(x) = 2^n x
The following is a valid closed-form solution for f(x):
(d) f(x) = 2^n + x.
Given that Z denotes the integers, and fn: Z → Z is defined for n = 0, 1, 2, ..., by the following recursion:• fo (x) = x for all x EZ• fn(x) = 2^-1(x) for all x EZ when n > 0
To find the solution to the problem from above, let's write out the first few terms in the recursion sequence:
fo(x) = x (given)
f1(x) = 2^-1(x)
f2(x) = 2^-1(2^-1(x)) = 2^-2(x)
f3(x) = 2^-1(2^-2(x)) = 2^-3(x)
...
fn(x) = 2^-n(x)
We can tell that the recursion sequence is geometric because each term is half the previous term.
So, the closed-form solution for f(x) is the formula for the sum of a geometric series:
f(x) = fo(x) + f1(x) + f2(x) + f3(x) + ... + fn(x)
Using the formula for the sum of a geometric series, we obtain:
f(x) = [1 - 2^-n+1]x/(1 - 2^-1) = 2^n + x
Thus, the following is a valid closed-form solution for f(x): f(x) = 2^n + x.
Therefore, the correct option is d.
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five adults and five children randomly sit in ten seats that are equally spaced around a circle, such that one person sits in each seat. what is the probability that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter?
The probability is \(\frac{2}{5}\) ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.
What is probability ?
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Have given,
Five adults and five children,
Total seats are available 10
P(an adults apposite of a children) = \(\frac{2}{10}\)
P(a children apposite of a children) = \(\frac{2}{5}\)
We know that ,
P(True) = 1 - P(Not True)
P(True) = \(1 - (\frac{2}{10} + \frac{2}{5} )\)
P(True) = \(\frac{2}{5}\)
The probability is \(\frac{2}{5}\) ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.
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Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer:
\(x=-2\\x=2\)
(You only need to give one solution)
Step-by-step explanation:
We have the following equation
\((x^2+1)^2-5x^2-5=0\)
First, we need to foil out the parenthesis
\(x^4+2x^2+1-5x^2-5=0\)
Now we can combine the like terms
\(x^4-3x^2-4=0\)
Now, we need to factor this equation.
To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.
The pair of numbers that would do this would be 1 and -4.
This means that our factored form would be
\((x^2-4)(x^2+1)=0\)
As the first binomial is a difference of squares, it can be factored futher into
\((x^2+1)(x+2)(x-2)=0\)
Now, we can get our solutions.
The first binomial will produce two complex (Not real) solutions.
\(x+2=0\\\\x=-2\)
\(x-2=0\\\\x=2\)
So our solutions to this equation are
\(x=-2\\x=2\)
match each theoretical perspective to its representative classic study of education.
He argues that teachers and administrators often label students based on their behavior, appearance, or other factors, which can have a profound impact on students' self-perceptions and future opportunities.
Theoretical perspectives are perspectives that sociologists use to help them better understand and explain human social behavior.
These perspectives encompass various theories and approaches to the study of education.
The following is an overview of three major theoretical perspectives and their associated classic studies of education:
Functionalism perspective
The functionalist perspective is a theoretical approach that views society as a complex system composed of various parts that work together to maintain social order.
Functionalism is also known as structural functionalism.
According to functionalists, education plays an important role in society by providing students with necessary skills and knowledge to become productive members of society.
Classic study of education:
Durkheim's study of education in "The Division of Labor in Society."
In this classic study, Durkheim argues that education serves a crucial function in socializing young people into shared cultural values, beliefs, and norms.
According to symbolic interactionists, education is a process of social interaction in which students learn to make sense of the world around them.
Classic study of education: Becker's study of labeling in "Becoming a Marijuana User.
"In this classic study, Becker demonstrates how schools play an important role in shaping student identities.
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In order to be profitable anew indutrial product ale per cutomer' mot average more than or equal to 4. 2 unit a random ample of 64 cotumer i elected and their advance order for the new product i recorded and the ample mean and tandard deviation are 4 unit and 1. 8 unit repectively at 1% level check whether the product i profitable or not
In order to check if the new industrial product is profitable, we need to determine if the mean of the advance orders (4 units) is greater than or equal to the required number of units per customer (4.2 units).
What is industrial product?Industrial products are physical goods or services produced by industries. These products are used in the production of other goods or services.
We can use a one-sample t-test to determine if the difference in means is statistically significant at the 1% level. The null hypothesis for this test is that the mean of the sample is equal to the required number of units per customer (4.2 units).
The one-sample t-test yields a p-value of 0.73, which is greater than the 1% level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the sample is not significantly different from the required number of units per customer. As such, the new industrial product is likely to be profitable.
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What is a credit score and why is it important to have a good credit score?
A credit score is a measure of the ability to repay a debt. Like any usual unit of measurement, the more the credit score, the better it is.
A credit score ranges from 300 to 900 points. It is usually placed on a scale that is categorized from bad to good. A good credit score increases the chances of an individual to avail of loans and credit services. The better the score, the better the services.
If the score lies between 350-549, it is considered a low score and need urgent action to improve. If the score is between 550-649, the approval probability is doubtful and turbulent. If the score is between 650-699, it is considered satisfactory. If the score is between 700-749, it is considered good. If it is between 750-900, it is an excellent credit score.
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please solve for x
5x+10y=25
\(5x+10y=25\)
Add -10y to both sides:
\(5x+10y+-10y=25+-10y\)
\(5x=-10y+25\)
Divide both sides by 5:
\(\dfrac{5x}{5} =\dfrac{-10y+25}{5}\)
\(\fbox{y = -2y + 5}\)
explain what precision and confidence are and how they influence
sample size.
Discuss what is meant by this statement; "There is a trade-off
between precision and confidence under certain
conditions".
Precision and confidence are statistical concepts that influence sample size in research studies. Precision refers to the level of variability or margin of error in the measurements or estimates obtained from a sample. Confidence, on the other hand, refers to the degree of certainty or reliability associated with the results obtained from the sample.
Precision refers to the level of accuracy or consistency in the measurements or estimates obtained from a sample. It reflects the degree of variability or margin of error in the data. A high precision indicates low variability and a small margin of error, while low precision indicates high variability and a larger margin of error. Confidence, on the other hand, relates to the level of certainty or reliability in the results obtained from the sample. It represents the degree to which the sample results can be generalized to the population.
In statistical analysis, increasing precision often requires a larger sample size. A larger sample reduces the margin of error and increases the accuracy of the estimates. However, increasing the sample size also requires more resources, time, and effort. Therefore, there is a trade-off between precision and sample size.
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determine the z−transform, including the roc, for the sequence −anu[−n−1] where a=9.49. what is the value of the z−transform when z=3.51.
The value of the Z-transform at z=3.51 is -3.846.
The definition of the Z-transform for a discrete-time signal x[n] is given by:
\(X(z) = Z{x[n]} = Sum$ {n} =-\infty $ to \infty} (x[n] \times z^{(-n)} )\)
where z is a complex variable.
Using this definition, let's find the Z-transform of the sequence -anu[-n-1]:
\(X(z) = Sum{n=-\infty $ to \infty}(-anu[-n-1] \times z^{(-n)} )\)
\(= Sum{n= 0 $ to $ \infty} (-a\times (n-1)z^{(-n)})\)
\(= -a(z^{(-1)} + 2z^{(-2)} + 3z^{(-3)} + ...)\)
where u[n] is the unit step function, defined as u[n]=1 for n>=0 and u[n]=0 for n<0.
The region of convergence (ROC) for the Z-transform is the set of values of z for which the series converges.
In this case, the series converges for |z| > 0.
Therefore, the ROC is the entire complex plane except for z=0.
Now, let's evaluate X(z) at z=3.51:
\(X(3.51) = -9.49\times (3.51^{(-1)} + 23.51^{(-2)} + 33.51^{(-3)} + ...)\)
\(= -9.49\times (0.2845 + 0.0908 + 0.0289 + ...)\)
\(= -9.49\times (0.4042 + ...)\)
= -3.846.
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The value of the z-transform when z=3.51 is 3.778.
The z-transform is a useful tool in digital signal processing for analyzing and manipulating discrete-time signals.
To find the z-transform of the sequence -anu[-n-1], we can use the definition of the z-transform:
X(z) = ∑n=−∞^∞ x[n]z^-n
where x[n] is the input sequence and X(z) is its z-transform. In this case, the input sequence is -anu[-n-1], where a=9.49 and u[n] is the unit step function.
Substituting the input sequence into the z-transform equation, we get:
X(z) = ∑n=−∞^∞ (-a*u[-n-1])z^-n
We can simplify this expression by changing the limits of the summation and substituting -n-1 with k:
X(z) = ∑k=1^∞ (-a)z^(k-1)
= -a ∑k=0^∞ z^k
= -a/(1-z)
The region of convergence (ROC) for the z-transform is the set of values of z for which the series converges. In this case, the ROC is the exterior of a circle centered at the origin with a radius of 1. This is because the series converges for values of z outside the unit circle, but diverges for values inside the unit circle.
To find the value of the z-transform when z=3.51, we can substitute z=3.51 into the expression for X(z):
X(3.51) = -a/(1-3.51) = -9.49/-2.51 = 3.778
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Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(,) and Yis N(4,²). Given that the sample number of X and Y are n=m=25, and X = 33.8, S=3.9,Y=32.5, S=5.1. Use these observations to give a level a=0.05 test for H₁:μx = μy VS Hoxy. Give the p-value of this test. (10 pts)
To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.
The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.
Using this information, we can calculate the test statistic, which is given by:
t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))
Plugging in the values, we get:
t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))
Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).
Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.
Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
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Questian 14 (1 point) A solid metal prism has square base with sides of 4 inches, and height of 6 inches: A hole in the shape of a cylinder; with radius of inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches? 19 cubic inches 77 cubic inches 96 cubic inches 93 cubic inches 6 In
The approximate volume of the remaining solid is 77 cubic inches.
To find the approximate volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism.
Step 1: Find the volume of the rectangular prism
- Formula for the volume of a rectangular prism is V = lwh (length × width × height)
- The base of the prism is a square, so l = w = 4 inches
- The height is 6 inches, so V = 4 × 4 × 6 = 96 cubic inches
Step 2: Find the volume of the cylindrical hole
- Formula for the volume of a cylinder is V = π\(r^2\)h
- The radius of the cylinder is 1 inch (1/2 × 2), and the height is 6 inches (same as the height of the rectangular prism)
- V = π × \(1^2\) × 6 = 6π cubic inches (approximately 18.85 cubic inches)
Step 3: Subtract the volume of the cylinder from the volume of the rectangular prism
- Remaining volume = 96 - 18.85 ≈ 77.15 cubic inches.
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Sketch a possible function with the following properties: f < -2 on 2 € (-0, -3) x f(-3) > 0 f > 1 on x € (-3,2) f(3) = 0 lim f = 0 = 8个
A possible function refers to a hypothetical or potential function that satisfies certain conditions or criteria. It is often used in mathematical discussions or problem-solving to explore different functions that could potentially meet specific requirements or constraints. To sketch a possible function with the given properties, we can use the following steps:
1. We know that f is less than -2 on the interval (-0, -3) x. So, we can draw a horizontal line below the x-axis such that it stays below the line y = -2 and passes through the point (-3, 0).
'2. Next, we know that f(-3) > 0, so we need to draw the curve such that it intersects the y-axis at a positive value above the line y = -2.
3. We know that f is greater than 1 on the interval (-3, 2). We can draw a curve that starts below the line y = 1 and then goes up and passes through the point (2, 1).
4. We know that f(3) = 0, so we need to draw the curve such that it intersects the x-axis at x = 3.
5. Finally, we know that the limit of f as x approaches infinity and negative infinity is 0. We can draw the curve such that it approaches the x-axis from above and below as the x gets larger and smaller.
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geometry:(
*image shown above*
Answer:
c = 44
Step-by-step explanation:
4. Consider a regression model y i
=β 1
+β 2
x i
+e i
. Suppose that based on a theoretical argument we know that β 2
=0. (a) What does the regression model look like, algebraically, if β 2
=0 ? (b) What does the regression model look like, graphically, if β 2
=0 ? (c) If β 2
=0, the sum of squares function becomes S(β 1
)=∑ i=1
n
(y i
−β 1
) 2
. Using calculus, show that the formula for the least squares estimator of β 1
in this model is β
^
1
=(∑ i=1
n
y i
)/n.
Algebraically, this means that the dependent variable y is a linear function of the independent variable x, with no coefficient multiplying x.
When β₂=0, the regression model simplifies to yᵢ = β₁xᵢ + eᵢ. This means that the dependent variable y is solely determined by the intercept β₁ and the error term e, with no effect from the independent variable x.
This means that the best estimate for β₁, when β₂ = 0, is the mean of the dependent variable y.This is because when β₂ = 0, the value of x does not contribute to the variation in y. The line is parallel to the x-axis and has a constant intercept β₁
.
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Hello, Please help me find a book for school. I forgot the title and it was a really important part of my childhood. I need it for a school project.
Here is a description of the book.
A young white girl named Cecilia from around the 60's mother dies. She is sent to live with her black family members. Cecelia constantly bits her lip. Later her new family goes to the beach and other people think they kidnapped Cecelia and that her aunt, who is wearing overalls, is a man. Later they go to a church or something and see an old lady whose son has died. His photo is kept in a swirly gold photo frame. Her new family takes her to go to some sort of party with her new families friends. The party is so much fun so Cecelia asks why they don't do this all the time. Her new family says that it would be less special. Her new family talks about how this is a new chapter of her life. Cecelia makes a friend and asks if the want to walk to school together. Cecelia gets scared if her friend won't come. Her new friend comes. The book then ends on about the chapters of life.
Please help me find this book. I need this for school. I don't just want people answering just to get points. Thank you.
Answer:
I need some more detail on character can you remember?
Step-by-step explanation:
Answer:
i think it is The Goldfinch
Step-by-step explanation:
pretty sure that is right...
Write the following paragraph proof as a two-column proof.
Given: AB = CD and BC = DE
Prove: AC = CE
AB'CD'E
We're given that AB = CD. By the addition property of equality, we add BC to both sides of the equation to get
AB + BC = CD + BC. Since we're also given that BC = DE, we use the subst|tution property of equality to replace BC
with DE on the right side of the equation. So, AB + BC = CD + DE. Next, by segment addition, we get that AB + BC is
equal to AC and that CD + DE is equal to CE. Finally, we use the substitution property of equality on the equation
- AB + BC = CD + DE to replace AB + BC with AC and CD + DE with CE to get that AC = CE.
Type the correct answer in the box.
y x X, 14pt
AvZvcbErgE nve
Using the given information that AB = CD and BC = DE, we can prove that AC = CE.
Given AB = CD and BC = DE, we add BC to both sides of the equation AB = CD using the addition property of equality, resulting in AB + BC = CD + BC. Using the substitution property of equality, we replace BC with DE, which gives AB + BC = CD + DE.
Using segment addition, we get AB + BC = AC and CD + DE = CE. Finally, using the substitution property of equality, we substitute AB + BC with AC and CD + DE with CE, giving us AC = CE as required. Therefore we can conclude that AB = CD and BC = DE, we can prove that AC = CE.
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14. In right triangle PQR shown below, altitude QS is drawn to PR from Q. If PQ-9 and RP=16, determine
the length of SR to the nearest hundredth.
The length of SR to the nearest hundredth is approximately 13.12 units.
What is Pythagoras theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can use the Pythagorean theorem to find the length of QR, which is the hypotenuse of right triangle PQR:
PQ² + QR² = PR²
Substituting in the given values:
(9+x)²+ QS² = 16²
We know that QS is the altitude from Q to PR, which means it is also the height of triangle PQR. We can use the area of triangle PQR to find the length of QS:
area of PQR = (1/2) * PQ * QS = (1/2) * 9 * QS
area of PQR = (1/2) * QR * QS = (1/2) * 16 * QS
Since the area of PQR is the same, we can set these two equations equal to each other and solve for QS:
(1/2) * 9 * QS = (1/2) * 16 * QS
9QS = 16QS
QS = (16/9) * x
Substituting this value for QS into the equation we set up earlier:
(9+x)²+ [(16/9)*x]²= 16²
Simplifying and solving for x:
81 + 18x + x²+ 256x²/81 = 256
x²+ 18x + 81 + 256x²/81 - 256 = 0
81x² + 1458x + 6561 + 20736x² - 20736(81) = 0
2889x² + 1458x - 127008 = 0
Using the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / 2a
where a = 2889, b = 1458, and c = -127008
x = (-1458 ± sqrt(1458² - 4(2889)(-127008))) / 2(2889)
x = (-1458 ± sqrt(5872034)) / 5778
x ≈ 13.12 or x ≈ -21.89
Since x represents a length, we take the positive value as our answer:
x ≈ 13.12
Therefore, the length of SR to the nearest hundredth is approximately 13.12units.
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Find the perimeter and area of a rectangle of cardboard measuring 18.7 cm by 18.5 cm
Answer:
74.4cm
Step-by-step explanation:
Perimeter is L + L + W + W
or 2L +2W
so 2(18.7) + 2(18.5) = 74.4 cm
Winston wants to put trim board around his square shaped windows. Each window has an area of 3 square feet. Estimate the perimeter of each window. Approximate your answer by truncating the decimal expansion to the hundredths place.
Answer:
6.92
Step-by-step explanation:
Winston wishes to have trim board installed around his square-shaped windows. Each window is 3 square feet in size, with a perimeter of 6.93 feet.
What is meant by perimeter?A perimeter is a closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape. The circumference of a circle or an ellipse is referred to as its perimeter. Perimeter calculations have numerous applications in real life.The perimeter of a shape is the length of its outline. To calculate the perimeter of a rectangle or square, add the lengths of all four sides.The perimeter of a shape is the total distance around it, or the sum of its side lengths. Millimetres (mm), centimetres (cm), and metres are the units used to measure perimeter (P).Given that the square window has a surface area of 3 square feet.
Area of a square = (side)²
(side)² = 3
side = √3
perimeter of square = 4 × sides
= 4 × √3
perimeter = 6.93 feet's
Hence, Winston wishes to have trim board installed around his square-shaped windows. Each window is 3 square feet in size, with a perimeter of 6.93 feet.
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Find the value of x to the nearest tenth!!
price of two games in ratio a:b. If both prices decreased by £10, ratio = 3:5. If both prices increase by £5, ratio = 3:4. Work out ratio a:b.
The ratio of a: b is = 5:7
The price of the two games are in the ratio a:bWhen the prices are both decreased by £10, the ratio becomes 3:5When the prices are both increased by £5, the ratio becomes 3:4
Here the ratio is a:b
When the prices are both decreased by £10, the new ratio
= a-10 : b-10
When the prices are both increased by £5, the new ratio
= a+5 : b+5
By the given conditions,
a-10 : b-10 = 3:5
or, \(\frac{a-10}{b-10\\}\) =\(\frac{3}{5}\)
or, 5(a-10) = 3(b-10)
or, 5a -50 = 3b-30
or, 5a -3b = 20 .... ...(1)
and a+5 : b+5 =3 : 4
or,\(\frac{a+5}{b+5}\) = \(\frac{3}{4}\)
or, 4(a+5) = 3(b+5)
or, 4a +20 = 3b+15
or, 4a-3b= -5 .... ...(2)
subtract the equation(2) from equation(1)
5a -3b - (4a -3b) =20 - (-5)
or, 5a-3b-4a+3b = 20+5
or, 5a-4a = 25
Therefore, a =25
Putting a=25 in equation (1), we get
125-3b=20
or, 3b= 105
therefore, b=35
a :b =25:35
= 5:7
Hence, the ratio of a: b = 5:7
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Alain Dupre wants to set up a scholarship fund for his school. The annual scholarship payment is to be
$4,800 with the first such payment due two years after his deposit into the fund. If the fund pays
10.5% compounded annually, how much must Alain deposit?
Alain Dupre must deposit approximately $3,937.82 into the scholarship fund in order to ensure annual payments of $4,800 with the first payment due two years later.
To determine the deposit amount Alain Dupre needs to make in order to set up the scholarship fund, we can use the concept of present value. The present value represents the current value of a future amount of money, taking into account the time value of money and the interest rate.
In this case, the annual scholarship payment of $4,800 is considered a future value, and Alain wants to determine the present value of this amount. The interest rate is given as 10.5% compounded annually.
The formula to calculate the present value is:
PV = FV / (1 + r)^n
Where:
PV = Present Value
FV = Future Value
r = Interest Rate
n = Number of periods
We know that the first scholarship payment is due in two years, so n = 2. The future value (FV) is $4,800.
Substituting the values into the formula, we have:
PV = 4800 / (1 + 0.105)^2
Calculating the expression inside the parentheses, we have:
PV = 4800 / (1.105)^2
PV = 4800 / 1.221
PV ≈ $3,937.82
By calculating the present value using the formula, Alain can determine the initial deposit required to fund the scholarship. This approach takes into account the future value, interest rate, and time period to calculate the present value, ensuring that the scholarship payments can be made as intended.
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Don has a box of colored pencils. He uses 53 pencils And has 118 pencils left in the box.Write an equation to showing how many pencils are in the box before he starts drawing.
The correct equation is p - 53 = 118.
How did we figure this out?Dontavious has a box of colored pencils.Dontavious uses 53 pencils.Pencils still left in the box = 118.Let the total number of pencils in the box be p.So, the equation representing the situation given will be:
⇒ p - 53 = 118
Therefore, the correct equation is p - 53 = 118.
please help only answer if you're sure it's right will mark brianliest if it's correct
Answer:
I feel like all of them are wrong, but C. is the one that's closes to being right.
Step-by-step explanation:
As you see, C is the closest to the answer.
x=1 y=2 z=3
So...
1+2=3
2-3=1
^
Is that right?
No, but that one is the only error, the other equations also have errors.
So if there's a button that says none of the above, pick that.
Hope this helped! :)