John have some 50cent and 20 cent coins.The value of all the coins is $27. There are twice as many 20 cent coins as 50 cent coins. How many 20 cent coins are there?

The measure of the angle B is 74 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

Therefore, the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.

Hence, the measure of the angle B is 74 degrees.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.

To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.

The formula for the margin of error is: ME = z * (σ/√n)

where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.

We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.

The standard deviation is the square root of the variance, so σ = √34.9

= 5.91.

To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:

SEM = σ/√n

= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:

0.5 = z * (5.91/√n)

To solve for n, we need to know the value of z for a 95% confidence level.

This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)

Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n

n =(23.18)

n = 537

To know more about centimeters visit:

https://brainly.com/question/9133571

#SPJ11

Answer:

8.-4

9.-1

10.-4

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

-7t-1=20

-7t=20+1

-7t=21

t=21÷(-7)

t=-3

-7×(-3)-1=20

have a great dayyyy

Answer:

-3.1

Hope this helps

Answer:

-3.1

Step-by-step explanation:

Division

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

To know more about an expression follow

https://brainly.com/question/14813498

#SPJ2

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

to know more about types of triangle visit:

https://brainly.com/question/2773823

#SPJ1

This real-world problem has the limitations 75< x <110 and 0< y\(\leq\) 50, hence:

option (C) is the best choice.

The term "inequality" refers to a mathematical expression in which both sides have mathematical signs that are either less than or greater than one another, and the expression is one where the two sides are not on equal footing.

We have:

Your senior vacation is scheduled to include a class trip to a beach. Only when it's between 75 and 110 degrees do guests at the resort get access to the pool. 50 passengers can go with you.

Let y be the number of passengers and x be the temperature

75 to 110 degrees are the range of the temperature.

75 < x < 110

50 passengers can go with you.

0 < y ≤ 50

In order to illustrate this real-world issue, the limitations are 75 <x <110 and 0< y \(\leq\)50.

To know more about Inequality visit:

https://brainly.com/question/13398007

#SPJ4

Answer:

Step-by-step explanation:

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with six sides, so we will let n = 6. The sum of the interior angles in this polygon would be 180(6 – 2) = 180(4) = 720. The angle on the bottom left is a right angle because of the square indicator. We know that this is 90 degrees. If we take the sum of the angles that we know we get 593. 720 - 593 = 127. x = 127.

Answer:

x=127

Step-by-step explanation:

take 180(n-2) where n=6, and you get 180(6-2) which simplified is 180(4) = 720. The sum of all the other angles is 593. subtract 593 from 720 (720-593=127). 127 is the angle of x.

all the steps laid out:

1. 180(n-2)

2. n=6

3. 180(6-2)

4. 180(4) = 720

5. 126 + 112 + 155 + 110 + 90 = 593

6. 720 - 593 = 127

7. x=127

The slope of line GH that contains points G(-2, 6) and H(5, -3) is equal to: 2. -9/7.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(5 - (-2))

Slope (m) = -9/7

Read more on slope here: brainly.com/question/3493733

#SPJ1

The height of the building is given as follows:

36 ft.

In this problem, we have two similar triangles, meaning that their side lengths are proportional.

As the triangles are similar, the equation involving proportions for the equivalent side lengths is given as follows:

x/6 = 45/7.5.

Applying the division on the right side of the equality, we have that:

45/7.5 = 6.

Hence:

x/6 = 6.

Applying cross multiplication, the height is given as follows:

x = 6(6) = 36 ft.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

A statistically significant finding indicates that it is unlikely to just be explained purely by chance or random influences.

The notion that a set given observed data is not the result of random but can instead be linked to a specific cause is referred to as statistical significance.

Statistical significance indicates that a result is unlikely to be attributed purely by chance and random causes.

Thus, in other words, if there is no genuine effect in a research study, a statistically significant conclusion has an extremely low likelihood of occuring.

To know more about the statistically significant, here

https://brainly.com/question/15848236

#SPJ4

The equation of the surface of revolution generated by revolving x = (1/z)^z about the z-axis is x = e^(-y).

To find the equation of the surface of revolution, we start with the parametric equation x = (1/z)^z, y = t, z = t. We eliminate the parameter t by substituting z for t in the equation x = (1/z)^z. Simplifying further, we obtain x = e^(-y).

This equation represents the surface of revolution generated by revolving the curve x = (1/z)^z about the z-axis. The exponentiation by e^(-y) signifies that the x-coordinate changes exponentially as the y-coordinate varies.

Therefore, as we revolve the curve around the z-axis, it forms a surface with an exponential decay in the x-direction. Hence, the equation x = e^(-y) describes the surface of revolution.

Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

We can be sure that our exponential function is accurate because this expressions corresponds to the value listed in the table.

It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical expression (such as addition, subtraction, multiplication or division, etc.) include numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as does the variable m in the expression 4m + 5.

f(1) = ab = 8,100

If we substitute a = 9,000, we obtain:

9,000b = 8,100

b = 8,100 / 9,000

b = 0.9

Consequently, the following exponential function best describes the situation:

f(x) = 9,000 * 0.9

We may compute the value of f(2) to see if this function matches the data:

f(2) = 9,000 * 0.9^2 = 7,290

We can be sure that our exponential function is accurate because this corresponds to the value listed in the table.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:H

Step-by-step explanation:i did it

Given :

The price of a sandwich is $5.50 more than the price of a smoothie, which is d dollars

so, the expression :

d + 5.5 represents : The price of of a sandwich

Answer:

m<A is 60 degrees

m<B is 30 degrees

Step-by-step explanation:

As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B

we can substitute (5x+10) and 3x as <A and <B into the equation

so:

5x+10+3x=90

Combine like terms

8x+10=90

subtract 10 from both sides

8x=80

divide by 8

x=10

Now substitute as x

m<A: (5*10+10)=50+10=60 degrees

m<B: (3*10)=30 degrees

Hope this helps!

Answer:

x = 39°

y = 129°

Step-by-step explanation:

x = 90° - 51° = 39°

y = 180° - 51° = 129°

first 2;

a) 7(2) + 8 = 22 > 16, 7(4) + 8 = 36>32

36 - 22 = 14/2 = 7

32 - 16 = 16/2 = 8

7<8

the table has a greater rate of change

y intercept

equation; 8

table; 0

8> 0

the equation has a greater y intercept

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

Learn more about growth functions at:

https://brainly.com/question/27161222

#SPJ1

a) The formula for the price elasticity of demand E is E = -5q/p.

b) The corresponding price elasticity of demand is -5

c) The resulting annual revenue would be approximately $2,050 billion.

(a) To obtain a formula for the price elasticity of demand E, we need to differentiate the equation for the demand q with respect to the selling price p and then multiply it by p/q:

E = (dp/dq) * (q/p)

Given that q = -5p + 3,070 million, we can differentiate it with respect to p:

dq/dp = -5

Plugging this value into the formula for E, we get:

E = (-5) * (q/p)

E = -5q/p

Therefore, the formula for the price elasticity of demand E is E = -5q/p.

(b) If the selling price was $335 per phone, we can substitute this value into the formula for E:

E = -5q/p

E = -5(335)/(335)

E = -5

The corresponding price elasticity of demand is -5.

Interpretation: The price elasticity of demand of -5 suggests that for every 1% increase in price, the demand decreases by about 5%. In other words, at the selling price of $335 per phone, a 1% increase in price would result in a 5% decrease in demand.

(c) To determine the selling price that would result in the largest annual revenue, we need to find the price where the price elasticity of demand is equal to -1. This is because at that point, a 1% increase in price would lead to a 1% decrease in demand, maximizing the revenue.

-5q/p = -1

Simplifying the equation, we get:

q/p = 1/5

Substituting the value of q from the demand equation:

(-5p + 3,070 million)/p = 1/5

Solving for p, we find:

p = 1,024 million

The selling price that would result in the largest annual revenue is $1,024 million.

To calculate the resulting annual revenue, we substitute this price back into the demand equation:

q = -5(1,024) + 3,070 million

q ≈ 2,050 million

Therefore, the resulting annual revenue would be approximately $2,050 billion.

Know more about price elasticity here:

https://brainly.com/question/29615048

#SPJ8

Answer: x ≥ -80

Step-by-step explanation:

-1/2x ≤ 40

1/2x ≤ -40

x ≥ -80

Answer:

35449 people

Explanation:

Given equation: y = 1100.74x -1976.47

Here year '2005' represents x = 005 = 5

So, the year '2034' will represent x = 034 = 34

Insert this into equation:

y = 1100.74(34) -1976.47

y = 35448.69

y ≈ 35449 (rounded to nearest whole number)

The trigonometric function that best fits the given data points using least squares is:

f(t) = -11.375 - 6.125sin(t) - 1.625cos(t)

We want to find the values of c0, c1, and c2 that minimize the sum of the squared differences between the data points and the function f(t) = c0 + c1sin(t) + c2cos(t). Let's call the data points (ti, yi) for i = 1 to 4.

The sum of the squared differences is given by:

S = Σi=1 to 4 (yi - f(ti))^2

Expanding the terms using the function f(t), we get:

S = Σi=1 to 4 [yi - c0 - c1sin(ti) - c2cos(ti)]^2

To minimize S, we take the partial derivatives with respect to c0, c1, and c2, and set them equal to zero:

∂S/∂c0 = -2Σi=1 to 4 [yi - c0 - c1sin(ti) - c2cos(ti)] = 0

∂S/∂c1 = -2Σi=1 to 4 [yi - c0 - c1sin(ti) - c2cos(ti)]sin(ti) = 0

∂S/∂c2 = -2Σi=1 to 4 [yi - c0 - c1sin(ti) - c2cos(ti)]cos(ti) = 0

Simplifying these equations, we get:

Σi=1 to 4 yi = 4c0 + 2c2

Σi=1 to 4 yi sin(ti) = c1Σi=1 to 4 sin^2(ti) + c2Σi=1 to 4 sin(ti)cos(ti)

Σi=1 to 4 yi cos(ti) = c1Σi=1 to 4 sin(ti)cos(ti) + c2Σi=1 to 4 cos^2(ti)

We can solve these equations for c0, c1, and c2 using matrix algebra. Let's define the following matrices and vectors:

A = [4 0 2; 0 Σi=1 to 4 sin^2(ti) Σi=1 to 4 sin(ti)cos(ti); 0 Σi=1 to 4 sin(ti)cos(ti) Σi=1 to 4 cos^2(ti)]

Y = [Σi=1 to 4 yi; Σi=1 to 4 yi sin(ti); Σi=1 to 4 yi cos(ti)]

C = [c0; c1; c2]

Then, we can solve for C using the equation:

C = (A^-1) Y

Using the given data points, we get:

A = [4 0 2; 0 4.0 -1.0; 2.0 -1.0 4.0]

Y = [-17; 5.0; 1.0; -9.0]

Using a calculator or software to calculate the inverse of A, we get:

A^-1 = [0.25 0.0 -0.5; 0.0 0.2857 0.1429; -0.5 0.1429 0.2857]

Multiplying A^-1 by Y, we get:

C = [c0; c1; c2] = [0.25*(-17) + (-0.5)(1) + 0.0(-9); 0.0*(-17) + 0.2857*(5.0)

The trigonometric function that best fits the given data points using least squares is:

f(t) = -11.375 - 6.125sin(t) - 1.625cos(t)

To know more about trigonometric function refer here:

https://brainly.com/question/6904750

#SPJ11

Joining weight loss groups improves weight loss outcomes compared to attempting weight loss alone.

Research has consistently shown that people who join weight loss groups tend to achieve better weight loss results compared to those who try to lose weight on their own. These groups, often led by professionals or experts in the field, provide a supportive and structured environment for individuals to work towards their weight loss goals. The benefits of weight loss groups can be attributed to several factors.

Firstly, weight loss groups offer a sense of community and social support. By sharing experiences, challenges, and successes with others who are on a similar journey, participants feel motivated, encouraged, and accountable. This camaraderie fosters a positive environment where individuals can learn from one another, exchange tips, and offer practical advice.

Secondly, weight loss groups provide education and knowledge about effective weight loss strategies. Professionals leading these groups can offer evidence-based information on nutrition, exercise, behavior change, and other relevant topics. This guidance equips participants with the necessary tools and skills to make sustainable lifestyle changes, ultimately leading to successful weight loss.

Lastly, weight loss groups often incorporate goal setting and tracking mechanisms. By setting specific and achievable goals, participants have a clear focus and direction. Regular progress tracking, whether it's through weigh-ins or other forms of measurement, helps individuals stay accountable and motivated. The group setting provides an additional layer of accountability, as members share their progress and celebrate milestones together.

In conclusion, research consistently demonstrates that people who join weight loss groups tend to achieve better weight loss outcomes compared to those who attempt to lose weight on their own. The social support, education, and goal-oriented approach offered by these groups contribute to their effectiveness. By joining a weight loss group, individuals can benefit from the collective knowledge and experience of the group, enhancing their chances of successful weight loss.

Learn more about Weight loss

brainly.com/question/29065690

#SPJ11

Answer:

6 apples and 5 bananas

Step-by-step explanation:

x + y = 11

x = 11 - y

1.75x + 0.70y = 14

1.75(11 - y) + 0.7y = 14

19.25 - 1.75y + 0.7y = 14

5.25 = 1.05y

y = 5

x = 11 - 5 = 6

Answer: 4 apples and 10 bananas

Step-by-step explanation:

Consider: a=apple, b=bananas

1) a + b = 14 // 14 total of apples and bananas

   a = 14 - b

2) 1.75a + 0.70b = $14 // $14 worth of apple and bananas

3) Substituting 1) in 2):

  1.75(14 - b) + 0.70b = 14

  24.5 - 1.75b + 0.70b = 14

   b = 10.5 / 1.05

    b = 10

4) Substituting 3) in 1):

   a = 14 - 10

   a = 4

Answer:

7.04

Step-by-step explanation:

12×8/100=0.96

8-0.96=7.04

Answer:

Below.

Step-by-step explanation:

12% = 0.12

The answer is 8 - 0.12*8

= 8 - 0.96

= 7.04.

Step-by-step explanation:

\(12 {x}^{2} + 9 = - 6x\)

\(12 {x}^{2} + 6x + 9\)

Find the discrimant of the function.

\({b {}^{2} - 4ac } \)

\( {6}^{2} - 4(12)(9)\)

\(36 - 432 = - 396\)

Since -396 is less than 0, there is no real roots. There is only complex roots.

Answer:

its most likley graph 4

Step-by-step explanation:

hope this helps and if its wrong im very sorry