In a bag, there are 16 marbles: 4 green, 2 yellow, 9 orange, and 1 blue. What is the probability of randomly choosing a green marble?​

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:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Answer:

x=3/2 or x=6

Step-by-step explanation:

2x2−15x+18=0

Step 1: Factor left side of equation.

2x^2-12x-3x+18=0

taking common factors

2x(x-6)-3(x-6)=0

(2x−3)(x−6)=0

Step 2: Set factors equal to 0.

2x−3=0 or x−6=0

x=3/2 or x=6

Answer:

5.6

Step-by-step explanation:

Answer: -6x + 15

Step-by-step explanation:

f (x) = 3

g (x) = -2x + 5

3 (-2x+5)

= -6x +15

Answer:

C.

Step-by-step explanation:

The solution is : Second option is correct. O B. a circle, can not form a perpendicular bisector.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

Since we know that to form perpendicular bisector .

We need atleast two lines which form right angle.

So, right triangle can form perpendicular bisector with base and height.

Parallel lines can also form perpendicular bisector if a line is drawn from mid point of one line to mid point of another line.

A line segment can form perpendicular bisector.

But circle can't as it is curved shape it needs line to make perpendicular bisector.

Hence, Second option is correct. O B. a circle, can not form a perpendicular bisector.

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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:

[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]

I think the answer is A. I will check if it is wrong

Answer:

6:28 or 3:14

Step-by-step explanation:

if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14

Answer:

6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14

Answer:

Mean: 43.43

Median: 42

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter = 68ft

Radius = 34ft (68/2)

Circumference =213.6283 (68 x pi)

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.

Answer:

z=25

Step-by-step explanation:

(3+5)^2+[8-11]+z=4(z-2)

(8)^2 +3+z=4z-8

square 8

add 8 to both sides

mines z from both sides

64+3+8=3z

75=3z

25=z

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°.

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Answer:

-2x+8

Step-by-step explanation:

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

= -x+3-x+5

= -2x+8

Answer:

k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]

Step-by-step explanation:

|19 - 3k| = 3

-3k = 3 - 19

-3k = -16

k = 16/3

k = 5 1/3

-19 + 3k = 3

3k = 3 + 19

3k = 22

k = 22/3

k = 7 1/3

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:

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:

(1) is the answer

hope it helps

Step-by-step explanation:

(1)

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

Answer:4.2 x 10^4 your welcome

Step-by-step explanation:

Answer:

El pH del refresco es 3.42.

Step-by-step explanation:

Se puede calcular el pH del refresco usando la siguiente fórmula:

[tex]pH = -log([H^{+}])[/tex]

En donde:

[H⁺]: es la cocentración de los iones H⁺ de la solución

Entonces, el pH es:

[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]

El resutlado obtenido nos permite concluir que ese refresco es ácido.

Por lo tanto, el pH del refresco es 3.42.

Espero que te sea de utilidad!

Usando su fórmula, se encuentra que el valor de PH de ese refresco​ es dado por 3.42.

Es dada por:

[tex]pH = -\log{H^{+}}[/tex]

Onde [tex]H^+[/tex] es la concentración.

En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:

[tex]pH = -\log{H^{+}}[/tex]

[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]

[tex]pH = 3.42[/tex]

El valor de PH de ese refresco​ es dado por 3.42.

Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414

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.

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:

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 ??