Explain why:
2⁴ = 16.

Answer:

the answer is b Both pairs are parallel to each other

Answer: its b, shawty

Step-by-step explanation:

probably

Answer:

y= 5x+5

Step-by-step explanation:

you do the rise over run for the slop which is m

the slope is 5 down and 5 to the right

it is also positive

the y-intercept is 5 cuz on the y line the point dot is 5 which is also b

so if it's 5 over 5 (rise over run) then it will become one whole which is just 5

you now put everything together

y=5x+5

The Frisbee following a parabolic path will take  8.5 seconds to hit the ground.

Given that:

h(t) = â€" 0.07t2 - 0.007t - 5

The given equation is the parabolic equation showing the path traced by the frisbee. from the equation

h = height from ground

t = time consumed in seconds

time it takes to hit the ground will be at h = 0.  we therefore solve as follows:

h(t) = â€" 0.07t2 - 0.007t - 5

0 = 0.07t2 + 0.007t + 5

\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)

\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)

\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)

=8.5 or -8.5 seconds

≅ 8.5 seconds

We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.

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The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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Answer:

75 x 0.15 = 11.25

Step-by-step explanation:

Answer:

a) s = -16\(t^{2}\) + 192t + 96

b) Height of the football after 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

Step-by-step explanation:

Given:

s = -16\(t^{2}\) + \(V_{o}\)t + \(s_{o}\)

where: s is the height of the football above the ground, t is the time, \(V_{o}\) is the initial velocity and \(s_{o}\) is the initial height.

The height of the building = \(V_{o}\) = 192 feet and the initial speed of the ball = \(s_{o}\) = 96 feet per second, then;

s = -16\(t^{2}\) + 192t + 96

a) The polynomial is given as:

s = -16\(t^{2}\) + 192t + 96

b) The height of the football when t = 2 seconds is;

s = -16(2) + 192(2) + 96

 = -32 + 384 + 96

 = -32 + 480

s = 448

The height of the football when t = 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

Answer:

6

Step-by-step explanation:

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer:

3.6 hours

Step-by-step explanation:

15% of 24 hours = 3.6 hours

Answer

3.6 hours

Step-by-step explanation:

15% of 24 hours is 3.6 hours

0.15*24

Brainlist please

Answer:

100 yards cubed

Answer: 100

Step-by-step explanation:

multiply them all together

The amount of medicine required by a patient weighing `x` pounds can be calculated using the formula `m = (n * x) / z`, where `n` is the amount of medicine required by a patient weighing `z` pounds.

The amount of medicine required by a patient weighing `x` pounds can be calculated by multiplying the weight by the ratio of the required medicine for a patient weighing `y` pounds.

Let's assume the required medicine for a patient weighing `y` pounds is `m` milligrams. We are given that a patient weighing `z` pounds requires `n` milligrams of medicine.

We can set up a proportion to find the amount of medicine required by a patient weighing `x` pounds:

`(n milligrams) / (z pounds) = (m milligrams) / (y pounds)`

To find the amount of medicine required by a patient weighing `x` pounds, we need to solve for `m`:

`(n milligrams) / (z pounds) = (m milligrams) / (x pounds)`

Cross-multiplying the proportion:

`(n milligrams) * (x pounds) = (m milligrams) * (z pounds)`

Simplifying the equation:

`m = (n * x) / z`

The amount of medicine required by a patient weighing `x` pounds can be calculated using the formula `m = (n * x) / z`, where `n` is the amount of medicine required by a patient weighing `z` pounds. Plug in the given values of `n`, `z`, and `x` to find the specific amount of medicine required by a patient weighing `x` pounds.

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The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  \(\frac{1}{10}(8000) = 800\)

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = \(\frac{1}{10}(9000) = 900\)

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = \(\frac{1}{10}(4000) = 400\)

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = \(\frac{1}{10}(7000) = 700\)

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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Answer:

x = -5

Step-by-step explanation:

3 (2x + 4) = 2x - 8

6x + 12 = 2x - 8

- 2x         - 2x

4x + 12 = -8

    - 12     - 12

4x = -20

/ 4    / 4

x = -5

The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

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Answer:

14

Step-by-step explanation:

If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.

7 1/3 ÷ 1/2= 14.6

You cant have .6 of a cupcake, therefore she can make 14 cupcakes.

Answer:

25 cm^2

24 cm

Step-by-step explanation:

5*5 = 25 cm^2

Make sure not to forget the cm^2, otherwise you will get it wrong

10 + 14 = 24 cm

this is only perimeter so only cm

Answer:

25 cm²

24 cm

Step-by-step explanation:

Area of a Square: A = lw

Since the sides of a square are all the same, we have A = 5(5) = 25 cm²

Perimeter of a Rectangle: 2w + 2l

Simply plug it in:

P = 2(7) + 2(5)

P = 14 + 10

P = 24 cm

1) Combining like terms, we get x^2 + 5x, which is a binomial.

2) Combining like terms, we get x^3 + 3x^2, which is a binomial.

3) Combining like terms, we get 4x^3 + x^2 - x, which is a trinomial.

4) I can't answer this because there's an asterisk in place of the exponent.

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

\(\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}\)

Step-by-step explanation:

\(x<-1\)

That is the less than symbol.

\(x\) represents a number.

The value of \(x\) is less than -1.

Answer:

0.3

Step-by-step explanation:

You have to divide 2.4 ➗ 8

Answer:

2*2-2*2+6

4-10

-6

Step-by-step explanation:

as we know that y=2 so i juat put the vakue of y

Answer:

put the value of 2 in the expression y2 and -2y

2sq.-2•2+6

4-4+6

0+6

6 ..

Answer:

2%

Step-by-step explanation:

Answer:

y=1x x 5

Step-by-step explanation:

In the input its going up by 1 and in the output its going up by multiplying by 5.

Those questions in the first person, like someone is writing them. describe what concepts

What concepts do I need to understand for lines and quadratic functions, what are their simplest forms, where do I see them in my daily life, and what strategies can I use to graph them?

What concepts do I need to accommodate the concept of lines and quadratic functions in my mind?

As I try to understand the concept of lines and quadratic functions, I need to become familiar with mathematical concepts such as slope, intercept, vertex, axis of symmetry, and coefficients.

What are the simplest line and quadratic function I can imagine?

When thinking about the simplest line, I imagine the equation y = x, where the slope is 1, and the y-intercept is 0.

For the simplest quadratic function, I picture \(y = x^2\), where the vertex is at (0,0) and the coefficient of \(x^2\) is 1.

In my day to day as a dad, husband, and a manager, is there any occurring factor that can be interpreted as lines and quadratic functions?

As a dad, I can see lines and quadratic functions in my child's growth chart, where the height increases linearly over time. As a husband, I can visualize a quadratic function when planning a surprise for my spouse, where the excitement builds up quickly and then tapers off slowly.

As a manager, I can use linear functions to analyze sales data over time, or quadratic functions to model the cost and revenue of a project.

What strategy can I use to get the graph of lines and quadratic functions?

To graph a line, I can plot two points and draw a straight line through them or use the slope-intercept form of the equation to identify the slope and y-intercept.

To graph a quadratic function, I can find the vertex and the axis of symmetry and then plot a few more points to sketch the curve accurately. Alternatively,

I can use software such as Excel or Geogebra to plot and visualize these functions easily.

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For all values of x greater than or equal to -2, the function f(x) = √(x + 2) + 2 will yield real outputs. So, x = -2.

To determine the input value at which the function f(x) = √(x + 2) + 2 begins to have real outputs, we need to find the values of x for which the expression inside the square root is non-negative. In other words, we need to solve the inequality x + 2 ≥ 0.

Subtracting 2 from both sides of the inequality, we get:

x ≥ -2

Therefore, the function f(x) = √(x + 2) + 2 will have real outputs for all values of x greater than or equal to -2.

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The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.

Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:

P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)

Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)

Simplifying this expression, we get:

P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)

For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:

P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192

Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.

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Answer: 5 6/10

Step-by-step explanation:

The approximate measure of the largest angle in the triangle is of:

θ = 63.4º.

The vertices of the triangle are given as follows:

N(2,2) and P(0,-2).

The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:

M(-2,2).

The side lenghts of the triangle are given as follows:

The height of the triangle is of:

4 units.

Hence the base angle is:

The tangent is:

tan(θ) = opposite side/adjacent side

Hence:

tan(θ) = 4/2

tan(θ) = 2

θ = arctan(2)

θ = 63.4º.

The diagram given by the image at the end of the answer represents the situation.

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Answer:

5 feet

Step-by-step explanation:

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor 3 out of 3x.

3(x)+6

Factor 3 out of 6.

3x+3⋅2

Factor 3 out of 3x+3⋅2.

3(x+2)

The expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Give two integers A and B, according to the commutative law of addition;

Given the expression (-1+3i) + (18+5i)

The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:

(-1+3i) + (18+5i)

-1 + 3i + 18 + 5i

(-1 + 18) + (3i + 5i)

We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

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