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patriot
5 days ago
14

Solve each of the quadratic equations 3x=0.5x2

Mathematics
1 answer:
lawyer [9.2K]5 days ago
6 0

Answer:

3x = 1 \\ x = \frac{1}{3}

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Amanda is a cabinetmaker. She makes cabinets using one of three types of wood: birch, maple, or cherry. She can finish each type
PIT_PIT [9117]
Assuming that every material in their respective categories has an equal likelihood of selection.

Categories:
(a) Wood types for cabinets: birch, maple, cherry.
Each wood type has a selection probability of 1/3.
(b) Finish types: transparent, semi-transparent.
Each finish type has a 1/2 chance of being selected.
(c) Knob types: bronze, steel, wood.
Each knob material carries a probability of 1/3.

The selection of materials for the cabinet, finish, and knobs is independent of one another.

Consequently,
Probability(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cherry wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6



6 0
16 days ago
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
tester [8842]

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

2. 5 0 x + 3. 5 0 y \leq 3 0

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

x

x

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.

4 0
1 month ago
Read 2 more answers
Let u = &lt;5, 6&gt;, v = &lt;-2, -6&gt;. Find -2u + 5v.
babunello [8412]
-2(5,6)-40 That should cover it.
7 0
28 days ago
Given matrix A below, and that A = B, find the value of the elements in B. A = 9 −2 3 2 17 0 3 22 8 b11 = b12 = b13 = b21 = b22
Svet_ta [9500]

Answer:

b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8

Step-by-step explanation:

Review the provided matrix

A=\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]

Let matrix B be defined as

B=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]

It is stated that

A=B

\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]

By comparing the corresponding elements from both matrices, we derive

b_{11}=9,b_{12}=-2,b_{13}=3

b_{21}=2,b_{22}=17,b_{23}=0

b_{31}=3,b_{32}=22,b_{33}=8

Consequently, the needed values are b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8.

3 0
1 month ago
Read 2 more answers
Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.
zzz [9080]

The equation representing the circle centered at (-27, 120) that passes through the origin is:

(x + 27)^2 + (y - 120)^2 = 15129

Solution:

The general equation of a circle is expressed as:

(x-a)^2+(y-b)^2=r^2

Where,

(a, b) denotes the center of the circle

r signifies the radius

Given the center as (-27, 120)

Thus;

a = -27

b = 120

Considering it intersects the origin, meaning (x, y) = (0, 0)

Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

(0 + 27)^2 + (0 - 120)^2 = r^2\\\\729 + 14400 = r^2\\\\r^2 = 15129

Input r^2 = 15129 and (a, b) = (-27, 120) into the equation

(x + 27)^2 + (y - 120)^2 = 15129

Hence, the equation characterizing the circle is determined

6 0
28 days ago
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