. 5 (3 ⋅ 6) = (5 ⋅ 3) + (5 ⋅ 6

Answer:

[tex]m(c(a)) = 4.8875a[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops

[tex]m(c) = 1.15c[/tex] --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

[tex]c(a) = 4.25a[/tex]

[tex]m(c) = 1.15c[/tex]

[tex]m(c) = 1.15c[/tex] can be written as:

[tex]m(c(a)) = 1.15*c(a)[/tex]

Substitute: [tex]c(a) = 4.25a[/tex]

[tex]m(c(a)) = 1.15*4.25a[/tex]

[tex]m(c(a)) = 4.8875a[/tex]

Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

The measure of the reference angle for a -287° angle is 17°.

To measure of the reference angle for a -287° angle

1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.

  - In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.

  - Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.

2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.

  - To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.

3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).

Therefore, the measure of the reference angle for a -287° angle is 17°.

For more Questions on reference angle

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Answer:

multiple answers below

Step-by-step explanation:

a = 8.6

b = 4.5

c = 9.71

formula for area :: a = b*h / 2

8.6 * 4.5 = 38.7 / 2 = 19.35

perimeter = a+b+c= 8.6 + 4.5 + 9.71 = 22.81

type = right angle ??

9514 1404 393

Answer:

  False

Step-by-step explanation:

Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

  sin(B) > sin(Y) . . . . FALSE

  sin(B) = sin(Y) . . . . true

Answer:

The answer is true.

Step-by-step explanation:

Answer:

(1) is the answer

hope it helps

Step-by-step explanation:

(1)

It's the first one. Hope this helps!!

Answer:

(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line

Step-by-step explanation:

Answer:

Bar graph

Step-by-step explanation:

if it helps don't forget to like and mark me down

Answer:

Bar Graph

Step-by-step explanation:

Answer is D dont go the the other answers link

Answer:

V = 240 cm^3

Step-by-step explanation:

The volume formula for a cone or triangular prism such as this one is

V = (1/3)(base area)(height), which here is:

V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3

Answer:

a = 5120

b = 1.25

Step-by-step explanation:

Let the exponential function representing the given table is,

f(x) = [tex]a(b)^x[/tex]

Here, f(x) = Number of views

x = Number of weeks

We choose two points from the given table and satisfy the equation of the function.

Let the points are (0, 5120) and (1, 6400)

For a point (0, 5120),

f(0) = a(b)⁰ = 5120

a = 5120

Now for the second point (1, 6400),

6400 = 5120(b)¹

b = [tex]\frac{6400}{5120}[/tex]

b = 1.25

Therefore, a = 5120 and b = 1.25 are the values.

Answer:

f(x)=8(0.5)^x

Step-by-step explanation:

Answer:

-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)

Step-by-step explanation:

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

Answer:

Step-by-step explanation:

diameter = 68ft

Radius = 34ft (68/2)

Circumference =213.6283 (68 x pi)

Answer:

Step-by-step explanation:

Points given:

Find the slope using slope formula:

Equation of the line in slope-intercept form:

Given:

The line is:

The y-intercept is the intersection of the line with the y-axis:

To find the slope select two points and use the slope formula as shown above.

Points (0, -1) and (1, 1), the slope is:

The line is:

Answer: 9006 in word form is nine thousand six ,

I hope you find this helpful.

Answer: 9,006 in word-form is nine thousand six.

Explanation: To write a number in word form, simply type the number in word form like I did above. If a digit doesn't have a zero, don't type zero, just type the number like I did above. Notice how I didn't include the word "zero" in my answer.

Let me know of any questions or concerns.

Answer:

2500 m long

Step-by-step explanation:

Answer:

2,500 meters

Step-by-step explanation:

There are 1000 meters in a kilo meter so just multiply 2.5 x 1000

Answer:

-40.1

Sorry if it's wrong but Hope it Helps!~

Answer:

-2x+8

Step-by-step explanation:

(-x+3)-(x-5)

= -x+3-x+5

= -2x+8

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

Answer:

Are you in Mr. Burg...'s class?  I have no clue what the answer is though.

Step-by-step explanation:

Answer:

Mean: 49

Median: 41

Mode: 45

Range: 70

Step-by-step explanation:

To find the mean: add up all the numbers, then divide by how many numbers there are.

To find the median:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find the mode: The mode of a data set is the number that occurs most frequently in the set.

To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

Answer:

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

Step-by-step explanation:

For a polynomial p(x) with leading coefficient A, and zeros: {x₁, x₂, ...,xₙ}

The polynomial can be written in the factored form as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know:

Leading coefficient equal to 2, and the zeros are: 0, -1, 6, and -4

Then the polynomial can be written as:

p(x) = 2*(x - 0)*(x - (-1))*(x - 6)*(x - (-4))

p(x) = 2*x*(x + 1)*(x - 6)*(x + 4)

The wanted polynomial is this one, and we can expand it to get:

p(x) = (2*x^2 + 2*x)*(x - 6)*(x + 4)

p(x) = (2*x^3 - 12*x^2 + 2*x^2 - 12*x)*(x + 4)

p(x) = (2*x^3 - 10*x^2 - 12*x)*(x + 4)

p(x) = 2*x^4 + 8*x^3 - 10*x^3 - 40*x^2 - 12*x^2 - 48*x

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

Answer:

area = l * w

= (3x + 1) * (2x + 3)

Answer:

A. 1 unit

Step-by-step explanation:

A cube has the same dimensions on each side, and the unit is 1 unit cube, none of the other options match.

You can easily rule out, B & D. That leaves you with A & C, and A makes the most sense, since 1 cubic unit would be the volume, and this question is only asking for the side length.

Good luck, hopefully, this helped!