pls answer pls ok ok ok ok o ok

Answer:

Step-by-step explanation:

If the equation of height of a man is modeled by the function y = 1.6x + 48 where;

y is the height of a man

x is the shoe size

To get the approximate shoe size for a man having a height of 60 inches, we will substitute y = 60 into the formula ans solve for x as shoen;

y = 1.6x + 48

60 = 1.6x + 48

1.6x = 60-48

1.6x = 12

x = 60/1.6

x = 7.5

x = 7 1/2

Hence the approximate shoe size for a man having a height of 60 inches is 7 1/2

Based on the equation given, we can infer that the shoe size of the man in question is A. 7 ¹/₂

The equation given has the following variables:

y = Height of person

x = shoe size

As we are given the height, we can insert it into the equation to find the shoe size:

60 = 1.6x + 48

60 - 48 = 1.6x

1.6x = 12

x = 12 / 1.6

x = 7.5

In conclusion, the shoe size is 7 ¹/₂.

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the total area of the figure is 412.16 yd² and closest option is 272.64 yd²,.

To find the area of a composite figure, we need to break it down into simpler shapes and add up their individual areas. In this case, we can divide the figure into a rectangle and two right triangles.

First, let's calculate the area of the rectangle. The base of the rectangle is 21.3 yards and the height is 12.8 yards. Therefore, the area of the rectangle is:

Area of rectangle = base x height

= 21.3 yd x 12.8 yd

= 272.64 yd²

Next, let's calculate the area of the right triangles. We can find the height of each triangle using the Pythagorean theorem.

For the triangle on the right side, we know the base is 6.4 yards and the hypotenuse is 21.3 yards (the same as the base of the rectangle). We can solve for the height (h) using the Pythagorean theorem:

h² + 6.4² = 21.3²

h² = 21.3² - 6.4²

h² = 410.45

h = √410.45

h ≈ 20.26 yards

The area of this triangle is:

Area of right triangle = (1/2) x base x height

= (1/2) x 6.4 yd x 20.26 yd

= 64.96 yd²

For the triangle on the left side, we know the base is 14.9 yards and the hypotenuse is also 21.3 yards. We can solve for the height (h) using the Pythagorean theorem:

h² + 14.9² = 21.3²

h² = 21.3² - 14.9²

h² = 99.94

h = √99.94

h ≈ 9.997 yards (rounded to three decimal places)

The area of this triangle is:

Area of left triangle = (1/2) x base x height

= (1/2) x 14.9 yd x 9.997 yd

= 74.56 yd²

Now, we can find the total area of the figure by adding up the areas of the rectangle and the two triangles:

Total area = area of rectangle + area of right triangle + area of left triangle

= 272.64 yd² + 64.96 yd² + 74.56 yd²

= 412.16 yd²

Therefore, the total area of the figure is 412.16 yd².

However, none of the given answer choices match this result. The closest option is 272.64 yd², which is the area of the rectangle only. This suggests that there may be an error in the problem statement or answer choices. If we assume that the area of the figure is intended to be the area of the rectangle only, then the answer is indeed 272.64 yd².

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To transform f(x) into g(x) we need to use addition, subtraction and multiplication.

Given f(x)=\(x^{2}\) and g(x)=\(x/3+3(x^{2} -3)\)

We need to transform function f(x)into g(x).

A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.

f(x)=\(x^{2}\), g(x)=\(x/3+3(x^{2} -3)\)

To transform f(x) into g(x)  we need to follow the following steps:

Hence we have to use addition, subtraction and multiplication for transformation.

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The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.

Step-by-step explanation:

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

Step-by-step explanation:

Slope of DE = \(\frac{y_2-y_1}{x_2-x_1}\)

                    =  \(\frac{c-c}{a+b-b}\)

                    = 0

Slope of BC = \(\frac{y_2-y_1}{x_2-x_1}\)

                    = \(\frac{0-0}{2a-0}\)

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.

Given data:

the cost of 12-ounce bottle of hand lotion is $ 2.99

the unit price is,

$ 0.24 per ounce.

the correct option is d.

Your ability to borrow money at lower rates improves as your credit score increases. Option D.

Your ability to borrow money at lower rates improves as your credit score increases.

A higher credit score indicates to lenders that you have a strong credit history, responsible financial behavior, and a lower risk of defaulting on loans.

Lenders view borrowers with higher credit scores as more reliable and trustworthy, making them more likely to offer lower interest rates and better loan terms.

While saving more and earning more can indirectly contribute to improving your credit score by positively impacting your financial stability and ability to manage debt, they are not direct factors that lenders consider when determining interest rates.

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Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

3. I would say shop one because it's at a lower price.  Although, it is up to you.

Step-by-step explanation:

Roger wants 400 copies; First print shop; $21.50 for first 200 copies + $10 for every 100 additional copies. Second print shop; $0.15 per copy + no deals on bulk  

1. how much will cost roger at the first print shop?  

$21.50 + $20 = $41.50 for 400 copies  

2. how much will it cost roger at the second print shop?  

$0.15 x 400 = $60

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

Answer:

2x^3+5x^2−28x−15

Step-by-step explanation:

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

see below

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

Info down in Explaination

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

B (2.5, 0)

Step-by-step explanation:

2x - y = 5 (multiply all by 4)

8x- 4y = 20

-8x - 4y = - 20

eliminate the 4y

8x- 4y = 20

-8x - 4y = - 20

-------------------- –

16x = 40

x = 40/16 = 2.5

now we substitute x with 2.5

2x - y = 5

2(2.5) - y = 5

y = 0

Answer:

its B

Step-by-step explanation:

took the test

Answer:

20

Step-by-step explanation:

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer: angle A = 72 and angle C = 72

Step-by-step explanation:

Angle A and C are opposites so they have to equal each other so do the equation 3y+27=5y-3. y would come out to be 15 and so to find the angles you would replace y with 15.

Draw a point B, then draw any two other points D and E. The rays BD and BE are essentially arrows that both start at B and pass through D and E, respectively. See the attached sketch. Note that the points D and E need not lie on a circle like the dotted one in the sketch; they can be placed anywhere along the ray.

Then:

• (I) is sometimes true. Rays can be parallel as long as they are collinear, meaning the three points B, D, and E would need to lie on the same line. (The first sketch shows one example)

• (II) is always true.

• (III) is sometimes true, if the angle the two rays form is a right angle. (The second sketch shows one example)

• (IV) is never true, because B would have to lie on the circle itself. The center does not.

Without knowing what Damiana's/Valeria's drawing looks like, the most we can do is rule out C and D.

Answer:

1.A

Step-by-step explanation:

yan po ang Tama po ang sagot..ko

Answer:

okay easy peasy..

first we know that 1 inch represent 50 miles

therefore 550 miles is represented by

= 550/50 = 11 inch

so with this we know that on map the cities are 11 inch apart..

Ratio remains same

\(\\ \rm\rightarrowtail \dfrac{1}{50}=\dfrac{x}{550}\)

\(\\ \rm\rightarrowtail x=550/50\)

\(\\ \rm\rightarrowtail x=11in\)

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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Answer:

hello :)

It would be A). C). and E).

Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6

We can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:

[log2(3)].[log3(4)].[log4(5)]...[log63(64)]

= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]

= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]

= log2(3) log3(4) log4(5) ... log63(64)

Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:

log2(3) log3(4) log4(5) ... log63(64) = log2(64)

Since 2^6 = 64, we have:

log2(64) = 6

Therefore,  [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.

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Answer:  6,6.         12,18.     18,6

Step-by-step explanation:

cause I got it right..

The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph has a triangle ABC.

The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)

We have to find the coordinates of triangle ABC after a dilation with scale factor 3.

Dilation is the scaling of an object, where it gets bigger or smaller

Now the coordinates after dilation are A'(6,6)

B'(12, 18)

C'(18, 6)

Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

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Answer: 12,300

Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.

Answer: C) 165

Step-by-step explanation:

\(\displaystyle\\C_{11}^3=\\\\\frac{11!}{(11-3)!3!} =\\\\\\\frac{8!*9*10*11}{8!*1*2*3} =\\\\\\\frac{9*10*11}{2*3} =\\\\3*5*11=\\\\15*11=\\\\165\)

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation: