Does the following set of ordered pairs represent a function?
{(7,4),(5, -1),(3,-8),(1,-5),(3,6)}

Answer:

Thx for my points back

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

for free points.....

The Surface area of the rectangular pyramid that is given in the image is: C. 471 cm².

The surface area is simply the space covered by the faces of the pyramid . Therefore:

Surface area = area of the rectangular face + the four triangular faces

Note that there are two pairs of identical triangular faces.

Area of the first pair of triangular faces = base * height = 10 * 16.2 = 162 cm²

Area of the second pair of triangular faces = base * height = 12 * 15.8 = 189.6 cm²

Area of the rectangular face = length * width = 12 * 10 = 120 cm².

Surface area of the rectangular pyramid = 120 + 189.6 + 162 = 471.6 cm².

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Answer:

2.73

Step-by-step explanation:

this is because the nunber after 7 which is 2 was less than 5 so it stays the same

number after 2 which was 6 was more than 5 so it rounds up to 3

Answer:

Step-by-step explanation:

The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Let's say

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

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The equation of the least-squares regression line based on these data is, y= 106.92 +2.044x where y =predicted height of child and x = child’s foot length.

To determine the equation of the least-squares regression line, we need to fit a linear model to the data using the method of least squares. The equation of the line can be written as:

height = intercept + slope * foot length

where the intercept and slope are the parameters we need to estimate from the data. The intercept represents the predicted height when foot length is 0, and the slope represents the change in height for each unit increase in foot length.

Substituting the values form the graph,

y= 106.92 +2.044x where y =predicted height of child and x = child’s foot length.

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--The complete question is, Can we predict the heights of school-aged children from foot length? below is computer output from a regression analysis of this relationship for 15 randomly-selected canadian children from 8 to 15 years old, along with a residual plot. the explanatory variable is each child's foot length (in centimeters), and the response variable is the child's height (in centimeters).

What is the equation of the least-squares regression line based on these data?  Define any parameters used.--

The rocket's maximum height will be reached in 1.5 seconds.

The rocket has a 39-foot height limit as well.

A function of the form f(x) = ax² + bx + c is called a parabolic function.

The given parabolic function is,

h(t) = -16t²+48t+3       (1),

Initial velocity is 48 feet per second,

And initial height = 3 feet

Differentiate with respect to t,

h'(t)= -32t+48

To find time to substitute this expression to zero.

-32t+48=0

t = 1.5 seconds

For maximum height, substitute this value in equation (1).

h(t) = -16(1.5)²+48(1.5)+3

    = -36+72+3

    = 39ft

The result is that the rocket rises to its highest point, 39 feet, in 1.5 seconds.

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Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:  A segment AB with Endpoints A (-8, 4) and B (2,4) is a horizontal line segment with (-3,4) as the midpoint.

A segment CD with endpoints C(-3,9) and D(-3,-1) will create a vertical line segment with (-3,4) as the midpoint.

A line segment FG with endpoints F (-6,0) and G(0,8) is a diagonal line with a slope of 4/3 and its midpoint is (-3,4)

Step-by-step explanation: For a horizontal or vertical line segment, choose the x-value or the y value of the midpoint. subtract 5 to get the lower endpoint, add 5 to get the higher endpoint. Keep the other coordinate the same.

The diagonal line segment is based on the hypotenuse of a triangle with side lengths corresponding to the Pythagorean Triple 3,4,5  Add and subtract 3 to the x-value od the midpoint, add and subtract 4 to the y value of the midpoint and the hypotenuses will extend 5 units in both directions from the midpoint.

Maybe TMI, bit I am hoping to earn a Brainliest.

Answer:

C

Step-by-step explanation:

tanx=17/100

so do the inverse so it would be tan^-1 (17/100)= degrees

Answer:  \(a)\quad y=\dfrac{4}{5}x+\dfrac{8}{5}\)               \(b)\quad y=\dfrac{1}{3}x+\dfrac{10}{3}\)                

Step-by-step explanation:

Use the Slope formula:      \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

and the Point-Slope formula:   y - y₁ = m(x - x₁)

a) (-2, 0) and (3, 4)

 \(m=\dfrac{0-4}{-2-3}\quad =\dfrac{-4}{-5}\quad =\dfrac{4}{5}\)

Let (x₁, y₁) = (-2, 0)      

y - y₁ = m(x - x₁)

\(y-0=\dfrac{4}{5}\bigg(x-(-2)\bigg)\\\\\\y\quad =\dfrac{4}{5}\bigg(x+2\bigg)\\\\\\\large\boxed{y\quad =\dfrac{4}{5}x+\dfrac{8}{5}}\)

b) m = 1/3     (x₁, y₁) = (2, 4)    

y - y₁ = m(x - x₁)

\(y-4=\dfrac{1}{3}\bigg(x-2\bigg)\\\\\\y-4 =\dfrac{1}{3}x-\dfrac{2}{3}\\\\\\y\quad \ =\dfrac{1}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\\\\\\\large\boxed{y\quad =\dfrac{1}{3}x+\dfrac{10}{3}}\)

Answer:

14

Step-by-step explanation:

-4,-5

2,3

-4-2= -6

-5-3= -8

-6+-8= 14

Answer:

the answer to this question is 10

Step-by-step explanation:

May i have brainliest

Answer:

\(\theta=16.6^{\circ}\)

Step-by-step explanation:

Given that,

The surface of the ramp will be 7 feet long with a total rise of 2 feet.

We need to find the angle of elevation of the ramp. We can use trigonometry to find it such that,

\(\sin\theta=\dfrac{P}{H}\)

P is perpendicular

H is hypotenuse

Here, P = 2 feet, H = 7 feet

So,

\(\sin\theta=\dfrac{2}{7}\\\\\theta=16.6^{\circ}\)

So, the angle of elevation of the ramp is equal to \(16.6^{\circ}\).

We have cut out a total of 29370 squares.

First, let's find the greatest possible square that can be cut from the rectangle. This square will have a side length equal to the width of the rectangle, which is 26 units.

After cutting this square from the rectangle, we are left with a smaller rectangle that measures 90 units by (90-26=) 64 units.\

Now we repeat the process and cut out the largest possible square, which has a side length of 64 units.

After cutting out this square, we are left with a rectangle that measures 64 units by (64-26=) 38 units.

We continue this process until we can no longer cut out any more squares.

The side length of the remaining rectangle will be the length of the last square that we cut out.

Let's call this side length x.

At this point, the length of the rectangle is equal to the width, so:

90 - 26 - 64 - 38 - ... - x = x.

Simplifying this equation, we get:

(90 - 26 - 64 - 38 - ...) + x = x

2x = 90 - 26 - 64 - 38 - ...

2x = 90 - (26 + 64 + 38 + ...)

2x = 90 - (26 + 64 + 38 + 26 + 16 + 4 + 2)

2x = 90 - 176

2x = -86

x = -43

Since x cannot be negative, we know that we cannot cut out any more squares.

Therefore, we have cut out a total of:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2\)

To calculate this sum, we can use the formula for the sum of the squares of the first n natural numbers:

\(1^2 + 2^2 + 3^2 + ... + n^2 = n(n+1)(2n+1)/6.\)

We need to find the value of n such that \(n^2\) is equal to \(43^2\)or the closest perfect square below it, which is \(42^2\).

We have:

\(42^2 = 1764.\)

\(43^2 = 1849\)

So n is equal to 42.

Therefore, the sum of the squares of the squares we have cut out is:

\(26^2 + 64^2 + 38^2 + ... + (-43)^2 = 26^2 + 64^2 + 38^2 + ... + 42^2\)

\(= 1^2 + 2^2 + 3^2 + ... + 42^2 - (1^2 + 2^2 + 3^2 + ... + 25^2)\)

\(= 42(42+1)(242+1)/6 - 25(25+1)(225+1)/6.\)

= 29370.

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Answer:

The solutions to the equation cos(x + 3π/2) = √2/2 on the interval [0, 2π] are x = π/4 + 2kπ, k ∈ {0, 1, 2, 3}.

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825

Step-by-step explanation:

that is all i can remember hope this helps

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Answer:

Yes, it is arithmetic with the common difference 2.

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

etc.

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

Check

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

  x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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Answer:

3/10

Step-by-step explanation:

To find the fraction of guests that ordered chicken, we must evaluate:

1 - 2/5 - 3/10

= 1 - 4/10 - 3/10

= 1 - 7/10

= 3/10

The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

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We are given a graph of a line and asked to write the equation in the form below.

Where m is the slope and b is the y-intercept of the line.

The y-intercept is the point where the line intersects the y-axis.

From the graph, we see that the line intersects the y-axis at -2

So, the y-intercept is -2

The slope of the line is given by

The rise is the vertical distance between the two points on the line.

The run is the horizontal distance between the two points on the line.

As you can see, we selected two points on the line and we have got a rise of 8 units and a run of 4 units

So, the slope of the line is 2

Therefore, the equation of the line is

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer: 6y^5 - 8y^3

Step-by-step explanation:

Answer: 6y5 - 8y3

Step-by-step explanation:

me when the:

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

To find the observed z value we have to use the principles to create a formula.

The formula for finding the value of z is

z = ( x - μ)/(σ/√n)

here,

x = sample mean

μ = population mean

σ = standard deviation of the population

n = sample size

for the given question the values are

x = 50

μ = 45

σ = 5

n = 1

staging the values in the formula

z = (50-45)/(5/√1)

z = 1

The observed z value is 1. Therefore, the given option that falls under the criteria of the correct answer is Option C.

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Answer:

Yes, he can fit 18 books on the shelf.

Step-by-step explanation:

They will fit if maximum width of 18 books is less than minimum length of the shelf.

The minimum length of the shelf is 46.5 cm ( as its measured to nearest cm).

The maximum width of a book < 2.55   ( its measured to nearest 0.1 cm).

So multiplying width of books by 18 we get:

2.55*18 = 45.9 which is less than 46 so the answer is YES.

Answer:

The length of the new rectangle is 21 inches and the width is 10 inches.

Answer:

\(Length=21in.\\Width=10in.\)

Step-by-step explanation:

consider the length of the original rectangle to be: \(x\) and the width of the original rectangle to be: \(y\).

we can make 2 equations using these variables:

\(2(x+y)=24 (originalperimeter)\\2(3x+2y)=62(newperimeter)\)

from these 2 equations, we can simplify to get:

\(x+y=12\\3x+2y=31\)

we can multiply the first equation by \(-2\) and add it to the second equation to find the value of x alone:

\(-2x-2y=-24\\3x+2y=31\\3x-2x+2y-2y=31-24\\x=7\)

now that we have the value of x, we can find the value of y:

\(x+y=12\\7+y=12\\y=5\)

and remember that the new rectangle has length 3x and width 2y, so:

\(3x=7\times3=21\) (length)

\(2y=2\times5=10\) (width)