3. Zaidi says the table does not represent a function because all of the inputs have the same output 20. Is Zaidi correct?

The exponential equation in the form y= a[tex](b)^x[/tex] that can model is y= 500[tex](1.06)^x[/tex].

In mathematics, an exponential function is a relationship of the type

y = [tex]a^x[/tex], where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

Given:

Britney invested $500 in stocks.

After one year, the value of her stocks has increased to $530.

We know the Exponential Function y= a[tex](b)^x[/tex]

As, a= 500, y= 530, x= 1

So, y= a[tex](b)^x[/tex]

530 = 500 [tex](b)^1[/tex]

530 / 500 = b

b= 1.06

So, the exponential equation is y= 500[tex](1.06)^x[/tex]

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Answer: D and C

Step-by-step explanation:

To get the value of a market basket you would add up the cost of each year so

2019 market basket = 2.50 + 1.00 + 3.75 = 7.25

2020 market basket = 2.25 + 3.00 + 4.50 = 9.75

2021 market basket = 3.00 + 3.25 + 5.00 = 11.25

now CPI for 2020 would be 9.75 / 7.25 x 100 = 134.828 which is around 135

CPI 2021 would be 11.25 / 7.25 x 100 = 155.172 which is around 155

It would be expected to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

The expected value, also known as the mathematical expectation, is a key concept in probability theory and statistics.

Here,
Groundhog Day predictions have a 39% accuracy, so on average, 39% of the predictions made on Groundhog Day are correct.

To find the expected number of correct predictions over the next 38 years, we can multiply the accuracy of the predictions (39%) by the number of predictions made (38),

39% * 38 = 14.82

So, we would expect to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

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Answer:

25 minutes

Explanation:

Subtract the two times to find the duration.

Answer:

Step-by-step explanation:

time take for 1 dough = 16kg/4hours= 4kg/hour

Dough in 5 hours = 4 x 5 = 20

She prepared 20kilograms of dough in 5 hours

no

4x6=24

24x1=24

hence 24 is the lowest common multiple , i hope this helped xx

To solve the given equations multiply equation 1 with - 2 and the solutions are x = 1 and y = 2.

In mathematics, the Elimination method is about deleting one of the words containing any of the variables to make the calculations easier.
To solve the equations, multiply or divide a number by the equation(s) until all of the variable terms' coefficients are the same.

The term is then eliminated or removed from the result by adding or subtracting from both equations.

Here we have

Equation 1: 2x - 5y = -8

Equation 2: 4x + 5y = 14  

We can multiply given equations as follows

To eliminate 'x' terms multiply the multiply equation 1 with -2

-2 × Equation 1 =>  - 4x + 10y = 16  ---- (Equation 3)  

Now add Equation (2) and Equation (3)

=> 4x + 5y - 4x + 10y = 14 + 16

=> 15y = 30

=> y = 2

Now substitute y = 2 in equation (2)

=> 2x - 5(2) = -8

=> 2x - 10 = -8

=> 2x = 2

=> x = 1  

Therefore,

To solve the given equations multiply equation 1 with - 2 and the solutions are x = 1 and y = 2.

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Answer:

The values of x for which f(x) = g(x) are:

Step-by-step explanation:

To find all the values of x for which f(x) = g(x), equate the given functions:

[tex]\implies f(x)=g(x)[/tex]

[tex]\implies -x^2+5=-2x+2[/tex]

Rearrange the equation so that it is in the quadratic form ax²+bx+c=0:

[tex]\implies -x^2+5+2x-2=0[/tex]

[tex]\implies -x^2+2x+3=0[/tex]

Divide both sides by -1:

[tex]\implies x^2-2x-3=0[/tex]

Factor the quadratic equation:

[tex]\implies x^2-3x+x-3=0[/tex]

[tex]\implies x(x-3)+1(x-3)=0[/tex]

[tex]\implies (x+1)(x-3)=0[/tex]

To solve for x, apply the zero-product property:

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-3)=0 \implies x=3[/tex]

Therefore, the values of x for which f(x) = g(x) are:

We can check the solutions by substituting each found value of x into the functions.

[tex]f(-1)=-(-1)^2+5=4[/tex]

[tex]g(-1)=-2(-1)+2=4[/tex]

[tex]f(3)=-(3)^2+5=-4[/tex]

[tex]g(3)=-2(3)+2=-4[/tex]

As f(-1) = g(-1) and f(3) = g(3), this proves that the values of x for which f(x) = g(x) are x = -1 or x = 3.

Equate Both equatios and find x

The points are -1,3

Answer:

[tex]\mbox{\large a_n = 2 + 5n}[/tex]

Step-by-step explanation:

The sequence is 7  12  17  22

This is an arithmetic sequence where any two successive terms is a constant known as the common difference

The difference between any two successive terms is 5

The common difference is 5

The nth term can be found by the expression

[tex]a_n = a_1 + d(n-1)[/tex]

where

[tex]a_n \textrm{ is the $n^{th}$ term}[/tex]

[tex]\mathrm{a_1\;is\;the\;first\;term}[/tex]

[tex]\mathrm{d\;is\;the\;common\;difference}\\[/tex]

In this sequence

[tex]a_1 = 7\\d = 5\\[/tex]

[tex]a_n = 7 + 5(n-1)\\\\a_n = 7 + 5n - 5\\\\a_n = 2 + 5n[/tex]

We can verify that this is correct is to determine the 5th term of the sequence which should be 22 + 5 = 27

Applying the expression for 5th term

[tex]a_5 = 2 + 5(5)\\= 2 + 25\\= 27[/tex]

The only value of x from the set {7, 9, 36} that makes the inequality 2x < 18 true is x = 7.

We can use substitution to find which value of x makes the inequality 2x < 18 true by trying each value in the set {7, 9, 36} one by one.

Let's start with x = 7:

2x = 2(7) = 14

14 < 18 is true, so x = 7 satisfies the inequality.

Next, let's try x = 9:

2x = 2(9) = 18

18 < 18 is not true, so x = 9 does not satisfy the inequality.

Finally, let's try x = 36:

2x = 2(36) = 72

72 < 18 is not true, so x = 36 does not satisfy the inequality.

Therefore, the only value of x from the set {7, 9, 36} that makes the inequality 2x < 18 true is x = 7.

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Answer:

s^2 + n^2 = 116

Step-by-step explanation:

s^2 + n^2 = ?

s^2 = 80

n = 6

n^2 = 36

s^2 +n^2 = 80 + 36

s^2 +n^2 = 116

We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.

We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c

we have to prove that RS is parallel to PQ,

therefore we need to find, PQ = PA + AQ,

= c - c + a + b = a + b,

since we get that  PA = OP = c

therefore when we compare RS and PQ ,we get,

RS  =  PQ = a + b

now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.

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The cost to wax the floor will be $2,184.03.

What is the area of any geometrical shape?

The area of a geometrical shape is a measurement of the extent of a two-dimensional surface. It is the measure of the amount of space inside the shape, which can be expressed in square units, such as square inches, square feet, or square meters.

Rectangle: area = length x width

Trapezoid: area = ((base1 + base2) / 2) x height

To find the area of the floor, we need to split the shape into two parts: a trapezoid on top and a rectangle on bottom.

The area of the trapezoid is: (33 + 19) / 2 * 14 = 385 square feet

The area of the rectangle is: 33 * 28 = 924 square feet

The total area is: 385 + 924 = 1309 square feet

Multiplying by the cost per square foot, we get:

1309 * 1.67 = 2184.03

Hence, the cost to wax the floor will be $2,184.03.

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The surface area not covered by the sticker on the spherical toy is approximately 5614.1 cm².

CLAIM: The surface area not covered by the sticker on the spherical toy is approximately 5614.1 cm².

EVIDENCE: The total surface area of the spherical toy can be calculated using the formula A = 4πr², where r is the radius of the sphere. Since the diameter of the sphere is given as 75 cm, the radius is half of the diameter, which is 37.5 cm. Therefore, the total surface area of the spherical toy is:

A = 4π(37.5)²

A = 4π(1406.25)

A ≈ 17593.29 cm²

The surface area covered by the triangular sticker can be calculated by finding the area of the triangle, which is given by the formula A = 1/2 bh, where b is the base and h is the height. Therefore, the surface area covered by the sticker is:

A = 1/2 (10)(12)

A = 60 cm²

The surface area not covered by the sticker is the difference between the total surface area of the spherical toy and the surface area covered by the sticker:

A_not_covered = A - A_sticker

A_not_covered ≈ 17593.29 - 60

A_not_covered ≈ 17533.29 cm²

Therefore, the surface area not covered by the sticker on the spherical toy is approximately 5614.1 cm².

REASONING: By calculating the total surface area of the spherical toy and subtracting the surface area covered by the triangular sticker, we can determine the surface area not covered by the sticker. Since the sticker covers a relatively small area compared to the total surface area of the sphere, the surface area not covered by the sticker is almost equal to the total surface area of the sphere, minus the area of the sticker.

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Answer:

[tex]\boxed{\checkmark}\;\;52 = 8n + 4[/tex]

[tex]\boxed{\checkmark}\;\;4(2n + 1) = 52[/tex]

[tex]\boxed{\checkmark}\;\;4 = 52 - 8n[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;4n = 48[/tex]

[tex]\boxed{\checkmark}\;\;n = 6[/tex]

Step-by-step explanation:

To determine if the equations are equivalent, solve the equations for n.

Option 1

[tex]\begin{aligned}\implies 52&=8n+4\\52-4&=8n+4-4\\48&=8n\\48\div 8&=8n \div 8\\6&=n\\n&=6\end{aligned}[/tex]

Option 2

[tex]\begin{aligned}\implies 4(2n+1)&=52\\8n+4&=52\\8n+4-4&=52-4\\8n&=48\\8n \div 8&=48 \div 8\\n&=6\end{aligned}[/tex]

Option 3

[tex]\begin{aligned}\implies 4&=52-8n\\4+8n&=52-8n+8n\\4+8n&=52\\4+8n-4&=52-4\\8n&=48\\8n \div 8&=48 \div 8\\n&=6\end{aligned}[/tex]

Option 4

[tex]\begin{aligned}\implies 4n&=48\\4n \div 4&=48 \div 4\\n&=12\end{aligned}[/tex]

Option 5

[tex]n=6[/tex]

Therefore, the equations that are equivalent are:

The solution of the equation 16g + 3 = 4 - 13g is g = 1/29

An equation is a statement that two expressions are equal. In other words, it's a mathematical sentence that says that the value on the left side of the equation is equal to the value on the right side.

In your problem, you have the equation:

16g + 3 = 4 - 13g

To solve this equation, the goal is to isolate the variable "g" on one side of the equation, so we can find its value. To do that, we need to use some algebraic techniques.

First, we can simplify the equation by combining like terms. We can add 13g to both sides of the equation to get:

16g + 13g + 3 = 4

Now we can combine the like terms on the left side of the equation:

29g + 3 = 4

Next, we want to isolate the variable "g" on one side of the equation. To do that, we can subtract 3 from both sides of the equation:

29g = 1

Finally, we can solve for "g" by dividing both sides of the equation by 29:

g = 1/29

So the solution to the equation is g = 1/29.

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Complete Question:

I need help solving this assignment.

Solve the equations 16g+3=4–13g

Answer:

if it's parallel isn't the slope the same?

The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

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The width of standard television set is 16.8 inches.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Because to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

We can solve this by using the  Pythagorean theorem which is below:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Or we can say

[tex]w^{2} +h^{2} =d^{2}[/tex]

w = width

h = height

d = diagonal measure

With that said, we know the height is .75 times the width so .75w. We also know d = 21, which is our diagonal measure.

w = don't know yet but need to find

h = .75w

d = 21

[tex]w^{2} +h^{2} =d^{2}[/tex]

[tex]w^{2} +(0.75w)^{2} =21^{2}[/tex]

1.5625 w^2 = 441

w^2 = 441/1.5625

w ^2 = 282.24

w =16.8

The width of standard television set is 16.8 inches.

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The cost to ship a box of 250 grams, with 10 books of weight of 8.5kg by natalie is $ 29.75.

The total weight of the books and the box is:

10 books × 810 grams/book + 250 grams = 8,250 grams + 250 grams = 8,500 grams

To convert this to kilograms, we divide by 1000:

8,500 grams ÷ 1000 = 8.5 kg

The cost of shipping will be based on the weight, so we can multiply the weight in kilograms by the shipping cost per kilogram:

8.5 kg × $3.50/kg = $29.75

Therefore, it will cost Natalie $29.75 to ship the books of 8.5 kg

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We are 90% confident that the true weekly return of the index portfolio is between 1.186% and 1.214%.

One important concept in statistics is a confidence interval, which is a range of values that is likely to contain the true value of a parameter, such as a population mean or proportion.

The analyst has a sample of 28 observations of the weekly return, which is assumed to be normally distributed. The sample mean is 1.2% and the sample variance is 0.00175. With this information, we can calculate the standard error of the mean, which measures the variability of the sample mean from one sample to another. The formula for the standard error is:

standard error = sample standard deviation / square root of sample size

In this case, the sample standard deviation is the square root of the sample variance, which is approximately 0.0418%. The square root of the sample size is 5.2915. Therefore, the standard error of the mean is:

standard error = 0.0418 / 5.2915 = 0.0079%

To construct a 90% confidence interval for the weekly return, we need to use the t-distribution, which is a probability distribution that takes into account the sample size and the level of confidence. The t-distribution has more variability than the normal distribution, which results in wider confidence intervals for smaller sample sizes.

The formula for a t-confidence interval is:

sample mean ± t-value x standard error

The t-value depends on the sample size and the level of confidence. For a sample size of 28 and a 90% confidence level, the t-value is 1.699. Therefore, the confidence interval is:

1.2 ± 1.699 x 0.0079 = [1.186%, 1.214%]

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The expected number of rolls is 12.The probability of rolling an even number on a fair, 6-sided die is 3/6, or 1/2.

The probability of rolling an even number on a fair, 6-sided die is 3/6, or 1/2. Therefore, the expected number of rolls can be calculated by multiplying the probability of rolling an even number (1/2) by the number of sides on the die (6). In this case, 1/2 x 6 = 12.

The expected number of rolls to get a specific result on a fair die can be calculated by multiplying the probability of achieving that result by the number of sides on the die. For example, if you wanted to know the expected number of rolls to get an odd number on a fair, 6-sided die, you would multiply the probability of rolling an odd number (3/6, or 1/2) by the number of sides on the die (6). In this case, 1/2 x 6 = 3. The same calculation could be applied to determine the expected number of rolls to get a specific number (e.g. a 4) on a fair, 6-sided die. The probability of rolling a 4 would be 1/6, and the expected number of rolls to get a 4 would be 1/6 x 6 = 6.

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The age of the jane is 565/48 years old.

Problems on ages is a common topic from which questions are asked in almost all Government exams in the quantitative aptitude section.

in this the ages has been found by solving the relationship between the ages given in the question.

the age of rick is = 11 3/4 years old

= 47/4 years old

the age of the lane is 1 3/8 years older than rick

so we add 1 3/8 in the age of rick to find out the age of lane,

so, the age of Lane is = 47/4 + 1 3/8

= 47/4 + 11/8

= (94 + 11)/8

= 105/8 years old .

the age of the jane is 1 1/5 years older than Lane

so we add 1 1/5 in the age of lane to find out the age of jane,

so, the age of jane is = 105/8 + 1 1/5

= 105/8 + 6/5

= (525 + 40)/48

= 565/48 years old .

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Using the diagram in the problem angle TQU is solved to be

The angle at U is 90 degrees, Using the concept of adjacent angles the three angles at U is solved

Using the trigonometry relations of right triangle we solve for angle PQT'

tan (angle PQT) = 1 / 3

angle PQT = arc tan (1 / 3)  

angle PQT = 18.43

angle PQT = angle UQS and

angle PQT + angle UQS  + angle TQU = 90 degrees adjacent angles

2 * 18.43 * angle TQU = 90

angle TQU = 90 - 2 * 18.43

angle TQU = 53.14 degrees

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Answer as a mixed number =  1   1/8  mph

Answer as a decimal = 1.125 mph

Work Shown:

(3/4) of a mile : (2/3) of an hour

12*(3/4) of a mile : 12*(2/3) of an hour

9 miles : 8 hours

9/8 miles : 8/8 hours

1.125 miles : 1 hour

His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8

Answer: The best graph to illustrate June's situation is a cost-volume-profit (CVP) graph, which shows the relationship between the revenue, cost, and volume of goods sold.

In June's case, her fixed costs (the cost of the sewing machine) are constant and do not change regardless of the number of quilts she makes and sells. Her variable costs (the raw materials) are directly proportional to the number of quilts she makes and sell. Her revenue is directly proportional to the number of quilts she sells.

The CVP graph will show a line representing fixed costs, a line representing variable costs, and a line representing revenue. The point at which the total costs (fixed costs + variable costs) equal the revenue represents the break-even point, at which June neither makes a profit nor incurs a loss. Beyond this point, June will make a profit, and before this point, she will incur a loss.

The CVP graph can be used to determine the break-even point and to make predictions about the future financial performance of a business, based on changes in volume, costs, or price.

Step-by-step explanation:

The solution to the system of linear equations associated with the reduced row-echelon form matrix is (0, 0). This indicates that both variables, x and y, have a value of zero.

The reduced row-echelon form of a matrix is the simplest way to represent the solution to a system of linear equations. In the case of a matrix with two rows and two columns, a solution is produced when the matrix is in its reduced row-echelon form. Specifically, for the given matrix, 0 0, the solution to the corresponding system of linear equations is (0, 0). This indicates that both variables, x and y, have a value of zero. This is because the reduced row-echelon form is the simplest way to represent the solution to a system of linear equations. In this form, all the leading entries are ones and all the other entries are zero. Since the matrix is 0 0, this indicates that the solution is (0, 0). This solution can be seen as an ordered pair, where the first value represents the solution for the x variable, and the second value represents the solution for the y variable. In this case, both values are zero, which means that the solution to the system of linear equations is (0, 0).

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The complete question is

The matrix 1 −1 ]5 0 0 ]0 is in reduced row-echelon form. Determine the solution of the corresponding system of linear equations. Write the solution as an ordered pair. For parametric solutions use either x = t or y = t as the parameter form matrix(0,0).

The measure of ∠A is 53.

The measure of ∠B is 37.

An expression contains one variable or more than one variable with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

∠A and ∠B are complementary.

This means,

∠A + ∠B = 90

Now,

∠A = 7x + 4

∠B = 4x + 9

7x + 4 + 4x + 9 = 90

11x + 13 = 90

11x = 90 - 13

11x = 77

x = 7

Now,

∠A = 7x + 4 = 7 x 7 + 4 = 49 + 4 = 53

∠B = 4x + 9 = 4 x 7 + 9 = 28 + 9 = 37

Thus,

∠A = 53

∠B = 37

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