PLEASE HELP!!!


Everyone at Greg's school wore either blue or orange for school spirit day. Of the 100 students at the school, 80% wore blue. How many students wore blue?

Answer:

p = \(\frac{9}{2}\)

Step-by-step explanation:

given y = - \(\frac{3}{2}\) is a root of the equation , then this value makes the equation true.

substitute y = - \(\frac{3}{2}\) into the equation and solve for p

2( - \(\frac{3}{2}\) )² + 6(- \(\frac{3}{2}\) ) + p = 0

2( \(\frac{9}{4}\)) - 9 + p = 0

\(\frac{9}{2}\) - \(\frac{18}{2}\) + p = 0

- \(\frac{9}{2}\) + p = 0 ( add \(\frac{9}{2}\) to both sides )

p = \(\frac{9}{2}\)

Answer:

it's 600

Step-by-step explanation:

that's not an option there but...

10% of 800 is 80

5% of 800 is 40

80 × 7 = 560

560 + 40 = 600

The expression in the image is:

a*(a + b + b) = a² + 2ab

So the correct option is the bottom left one.

The diagram is a rectangle that can be divided into smaller rectangles. We know that the area of the large rectangle will be equal to the sum of the areas of the smaller rectangles, then we can write:

area of the larger rectangle = a*(a + b + b)

While the addition of the areas of the smaller figures gives:

sum of areas: a² + a*b + a*b = a² + 2ab

Then the expression in the image is:

a*(a + b + b) = a² + 2ab

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Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

Answer:

90*12=1080

1080*13.2=14256

14256:100=142,56pounds

Answer: D

Step-by-step explanation:

dogs + cats = 3+4

feeding = 2times

therefore 2(3+4)

Answer:

The answer you had circled (Option D) would be the correct answer. If Betty feeds 3 cats, and 4 dogs, she would be feeding them 7 scoops at feeding time, and since she feeds them twice a day, it would total to 14 scoops, which can be represented by the equation 2*(3+4). I hope this helps, if you have any questions let me know.

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

never

Step-by-step explanation:

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

D. Highest increase in the multiple R2.

Step-by-step explanation:

Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.

9514 1404 393

Answer:

Step-by-step explanation:

The digital roots of the single-digit numbers 1-9 are just those numbers.

For numbers 10-18, the digits are the numbers 1-9, as for the numbers 19-27. In short, the digital root values are sequential, matching the remainder from division by 9 (except that numbers evenly divisible by 9 have a digital root of 9).

We also note that numbers divisible by 3 will have a digital root that is divisible by 3.

So, the patterns we notice are ...

_____

Additional comment

This is a consequence of our base-10 number system and modulo arithmetic. In a base-N number system, the "digital root" will be the value of the number modulo (N-1), again with the exception that 0 is replaced by (N-1). Divisors of (N-1) will also be divisors of the number if they divide the digital root.

The graph of the function y = (1/3)ˣ+4 is vertically shifted graph of the function y = (1/3)ˣ

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given is a function y = (1/3)ˣ+4, we need to compare the graph of this function to the graph of the function y = (1/3)ˣ

We know that,

In vertical shifting, adding a constant to a function will shift its graph vertically, adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Here, we can see, in y = (1/3)ˣ+4, constant 4 is added, that mean the graph of the function y = (1/3)ˣ is vertically shifted upward 4 units.

Hence, the graph of the function y = (1/3)ˣ+4 is vertically shifted graph of the function y = (1/3)ˣ

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Answer:

9.18%

Step-by-step explanation:

The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:

P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)

where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:

(15 choose 5) = 15! / (5! * 10!) = 3003

Substituting the values, we get:

P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918

Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

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

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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We must find the distance between the line y = -1 and the point V(5, -6).

Plotting a graph of the line and the point, we get:

From the graph, we see that the distance between the line and the point is d = 5 units.

5 units

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Answer:

57327392393629324

Step-by-step explanation:

There are an infinite number of ordered pairs that satisfy the equation -2x + y = 85. Some are  (0, 85),(-10, 65)

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it.

To find the ordered pairs for the equation -2x + y = 85, we can assign a value to one variable and solve for the other. Here are a few ordered pairs that satisfy the equation:

When x = 0, y = 85:

(0, 85)

When x = -10, y = 65:

(-10, 65)

When x = 20, y = 45:

(20, 45)

When x = -42.5, y = -8:

(-42.5, -8)

And so on. There are an infinite number of ordered pairs that satisfy the equation -2x + y = 85.

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The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer:

It's false! because 2 3 and 6 do not sum up to each side!

Step-by-step explanation:

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

A range is calculating by subtracting the smallest value from the largest value as range from 1 to 5 is 4.

Utilizing the same units as the data, it measures variability. Greater variability is shown by larger values. The range is the simplest statistical measure of dispersion to compute and explain, but it has significant restrictions.

The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.

Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum). The data points between the distribution's two extremes are not taken into account by the range; it only considers these two values.

suppose we have a set of values

22,56,43,87,33,12,11

its range will be calculated as;

largest value=87

smallest value=11

range=largest value-smallest value

range=76

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Let the function in which "y" varies directly with "x" be y = kx where "k" is the proportionality constant and y ∝ x

As per the question statement, We are supposed to write any function in which "y" varies directly with "x" i.e., y ∝ x

Let's say y = kx be the function where "k" is the proportionality constant and y ∝ x.

Now let x = 3 and y = 6, so 6 = k*3

or k = 3

Hence for any value of "x" value of "y" would be k times the value of x and this is called the direct proportion relationship.

Hence,  the function in which "y" varies directly with "x" be y = kx where "k" is the proportionality constant and y ∝ x

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Answer:

Step-by-step explanation:

(a).

Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }

Multiples of 6 are {6, 12, 18, 24, 30, ..... }

12 and 24

(b).

Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }

Multiples of 9 are {9, 18, 27, 36, 45, ..... }

18 and 36

Answer: D

Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet

Answer:

Its F $1.75

Step-by-step explanation:

Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer

Answer:

The Answer is H $1.14

Step-by-step explanation:

First You have to add both mean in the second column:

$1.29+0.99=$2.28

Then you have to divide the price that u given in the second column that u get after u add both the price :

$2.29/2=1.14

∴The mean price of apples per pound is $1.14

Answer:

graph 1 is a function
graph 2 is not
graph 3 is not
graph 4 is not
graph 5 is not
graph 6 is a function

Step-by-step explanation:

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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