Find each ratio x to y in decimal form. Then tell whether x and y are proportional. x y 3.25/2.5= 5.98/4.6= 6.76/5.2= 3.25 2.5 5.98 4.6 6.76 5.2

Solution:

Given the figure;

Then;

CORRECT ANSWER: Corresponding Angles Theorem

Using the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

Let's define the function f(x) = x and use the given graph of the function to find the value of δ, such that if |x - 4| < δ then x - 2 < 0.4. Let's take a look at the graph given below: Now, let's take the two points on the graph such that the vertical distance between the points is 0.4.The points are (4, 4) and (4.4, 4.4).

From the graph, we can see that if x < 4.4, then the function f(x) will have a value less than 4.4, which means that x - 2 will be less than 0.4.Therefore, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

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Answer:

27_5_10/2

27_5_5

22_5

17

Answer:

If Justin give's each of his children 7 one dollar bills, He will have 2 one dollar bill remaining

Step-by-step explanation:

since he has 3 children he have to divide 23 by 3 so we count until we get a number close to 23 but not greater because we have to subtract that number from 23

3.6.9.12.15.18.21.24.27.30.

Now that we found our number closest to 23 without going greater than 23 we subtract it from 23

     23

  -  21

       2

so that's how we got the remaining amount of money but we count how many time's we multiplied to get 21, that's 7 which is the amount each children gets.

I hope this helps :)

The total purchase for Lucy is $60.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Let the total cost be x.

This will be represented as:

30% × x = 18

0.3x = 18

Divide

x = 18 / 0.3

x = 60

The cost is $60.

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Answer:

Step-by-step explanation:

\(3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3\)

Answer:

 x = 3

Step-by-step explanation:

3(x+1)=5(x−2)+7

Use the distributive property to multiply 3 by x+1.

3x+3=5(x−2)+7

Use the distributive property to multiply 5 by x−2.

3x+3=5x−10+7

Add −10 and 7 to get −3.

3x+3=5x−3

Subtract 5x from both sides.

3x+3−5x=−3

Combine 3x and −5x to get −2x

−2x+3=−3

Subtract 3 from both sides.

−2x=−3−3

Subtract 3 from −3 to get −6.

−2x=−6

Divide both sides by −2.

x = -6/2

Divide −6 by −2

x = 3

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

The value of x is 40 given that the two prisms are similar.

If the two prisms are comparable, then their corresponding sides will be proportionately the same.

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40

Therefore, the value of x is 40 given that the two prisms are similar.

A prism is a geometric shape that has two parallel and congruent bases that are connected by a set of rectangular or parallelogram faces. When light enters a prism, it is refracted, or bent, due to the different angles of the surfaces of the prism.

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the question lack some information.

See more detail of the question on the attached image.

\(m1 + 45 = 146\)

Subtract both sides 45

\(m1 + 45 - 45 = 146 - 45\)

\(m1 = 101\)

The area of the regular polygon is  \(49\sqrt3\) square unit.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here the given triangle ,

Apothem a = \(\frac{7\sqrt3}{3}\)

Now side length s = \(2\sqrt3 a\)

=> side length s = \(2\sqrt3\times \frac{7\sqrt3}{3} = \frac{14\times3}{3}\) = 14

Now area of equilateral triangle A = \(\frac{\sqrt3 s^2}{4}\) square unit.

=> A = \(\frac{\sqrt3\times14^2}{4}\) = \(49\sqrt3\) square unit.

Hence the area of the regular polygon is  \(49\sqrt3\) square unit.

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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Answer:

f(x) = x² - 4x - 5

Step-by-step explanation:

given the roots of a parabola x = a and x = b , then the factors are

(x - a) and (x - b)

the function is then the product of the roots , that is

f(x) = (x - a)(x - b)

from the graph the roots ( where graph crosses the x- axis ) are

x = - 1 and x = 5 , then corresponding factors are

(x - (- 1) ) and (x - 5) , that is (x + 1) and (x - 5) , then

f(x) = (x + 1)(x - 5) ← expand using FOIL

     = x² - 5x + x - 5

f(x) = x² - 4x - 5

Answer:

see explanation

Step-by-step explanation:

x and y are same- side interior angles

they are on the same side of the transversal and are in the interior of the parallel lines.

Answer:

These are same side interior.

Step-by-step explanation:

They are both interior of the lines and are on the same side of it. Therefore, they are same side interior.

I hope this helps!

-No one

Answer:

Step-by-step explanation:

To predict the strain for a single adult in a way that conveys information about precision and reliability with the use of a 95% prediction interval, follow the steps below:The formula for a prediction interval (PI) is:PI = X ± t(α/2, n-1) * s√1+1/n

Where,X is the sample mean,t is the t-distribution value for the given level of confidence and degrees of freedom,s is the sample standard deviation,n is the sample size.The given mean is 26.0, the sample size is 17, and the standard deviation is 3.3.The value of t for a 95% prediction interval at 16 degrees of freedom (n-1) is 2.131.With the use of the given values, substitute in the formula as follows:

PI = 26 ± 2.131 * 3.3√1+1/17= 17.97 to 34.03

The predicted strain for a single adult with a 95% prediction interval of 17.97% to 34.03%. Silicone implant augmentation rhinoplasty is a surgical method that corrects congenital nose deformities. It has a high success rate, but it depends on various biomechanical properties of the human nasal periosteum and fascia. It is essential to predict the strain for a single adult that conveys the information on precision and reliability. For predicting strain in a single adult, the 95% prediction interval method is used. A prediction interval (PI) is a statistical method that predicts a range of values in which the true population parameter will fall. The formula for PI is: X ± t(α/2, n-1) * s√1+1/n. In this case, the given mean is 26.0, the sample size is 17, and the standard deviation is 3.3. The value of t for a 95% prediction interval at 16 degrees of freedom (n-1) is 2.131. By substituting the values in the formula, the predicted strain for a single adult with a 95% prediction interval of 17.97% to 34.03%. The 95% prediction interval conveys information on the precision and reliability of the strain prediction.

Predicting strain for a single adult in a way that conveys information on precision and reliability is essential. The 95% prediction interval is a statistical method that predicts a range of values in which the true population parameter will fall. The formula for a prediction interval is X ± t(α/2, n-1) * s√1+1/n. By substituting the given values in the formula, the predicted strain for a single adult is 17.97% to 34.03% with a 95% prediction interval. This method of predicting strain is precise and reliable.

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The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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The area of the rectangle is 17 square units.

The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.

Here we know that the vertices are:

A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)

We can define the length as the side AB, which has a lenght:

L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.

And the width as BC, which has a length:

L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.

Then the area is:

A = (1 unit)*(17 units) = 17 square units.

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6/5 and 1/4

just make these into fractions

:D

Hope this helps!

From Kenny

Answer:

change to fraction

6\5 and1\4

multiply top times top down times down

and you get 6\20

Solution:

Given:

Using the binomial distribution formula;

a) Probability that exactly 4 pass the final inspection.

b) Probability that less than 3 pass.

Hence,

Thus,

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

Answer:

Easy

Step-by-step explanation:

Y=5x

I hope this helps

Answer:

\((4,5)\ or\ x=4,y=5\)

Step-by-step explanation:

\(We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\\)

\(Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)\)

Answer:

The solution of the system of equations will be:

\(y=5,\:x=4\)

Step-by-step explanation:

Given the system of equation

\(\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}\)

Arrange equation variables for elimination

\(\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}\)

so

\(y+x=9\)

\(-\)

\(\underline{y-2x=-3}\)

\(3x=12\)

so the system of equations becomes

\(\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}\)

solve 3x=12 for x

\(3x=12\)

Divide both sides by 3

\(\frac{3x}{3}=\frac{12}{3}\)

\(x=4\)

\(\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4\)

\(y-2\cdot \:4=-3\)

\(y-8=-3\)

Add 8 to both sides

\(y-8+8=-3+8\)

\(y=5\)

Thus, the solution of the system of equations will be:

\(y=5,\:x=4\)

The function obtained after transformation is given as -x³ + 9x²- 27x + 21.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

The function is given as f(x) = x³- 6.

The translation of 3 units towards left can be written as,

f(x + 3) = (x + 3)³ - 6

⇒ x³ + 9x² + 27x + 21

For reflection across y axis replace -x with x as below,

⇒ (-x)³ + 9(-x)² + 27 × -x + 21

⇒ -x³ + 9x²- 27x + 21

Hence, the required form of the transformed function is -x³ + 9x²- 27x + 21.

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Answer:

La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Step-by-step explanation:

Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:

90 días = 1/4 año

30 días = 1/12 año

84 días = 23/100 año

365 = 1

85 = X

84 / 365 = 0.23

A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300

B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300

C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172

Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

On Monday: 35 mosquitos.

On Tuesday: 6 flies.

As you can notice in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can define this ratio as pursues:

3: 7 or 3/7.

Based on the table below:

If the frog swallows 15 flies on Monday, then the number of mosquitos that it eats can be estimated as pursues:

3/7 = 15/mosquitoes

mosquitoes \($= \frac{15*7}{3}\)

mosquitoes = 35

If the frog eats 14 mosquitoes on Tuesday, then the number of flies that it eats can be estimated as pursues:

3/7 = flies/14

flies \($= \frac{14*3}{7}\)

flies = 6

The complete question is:

A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagram. The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches.

Based on the ratio, complete the missing values in the table.

Day Flies Mosquitoes

Monday 151515

Tuesday

141414

Disregard Above

Use Picture

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Answer:

10 is the range  12 game were played in the season

Step-by-step explanation:

sorry if its wrong

Answer:
29 games were played in the season.
[6,8)

1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1. Plug in what you know, if t=5 and u=10 replace the variables for their corresponding numbers.

2. 5(10)=50