4. A spinner is divided into four colored sections. that are not of equal size: red blue purple and orange. The arrow on the spinner is spun several times. SPINNER RESULTS Color Number of Times Red 15 Blue 24 Purple Orange 12 B. 9 The arrow on the spinner will be spun one more time. Based on these results, what is the probability that the arrow will land on the purple section? C. 27 D. 1/2​

Step-by-step explanation:

5+2•(-3)-10/(-5)

15+2•(-3×2)

15+2•-6

15-12

3

So; the answer is 3

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

450

Step-by-step explanation:

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

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Answer:

the answer would would be 10^4/7

Step-by-step explanation:

Calculate 10 to the power of 4, then solve 10,000 to the square power of 7, and you get 10^4/7. I hope this helps, sorry if my explanation is bad, I don't really know how to explain, but I hope you get this correct.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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The number of minutes at which the cost of the two plans will be the same is given by A = 575 minutes

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's call the number of minutes used in a month "m". For the first plan, the cost is a fixed $35 for up to 450 minutes, and then an additional $0.16 per minute for any minutes used beyond 450

C₁(m) = 35 + 0.16(m - 450)

For the second plan, the cost is a fixed $55 per month for unlimited minutes

C₂(m) = 55

when C₁ = C₂ , we get

35 + 0.16(m - 450) = 55

Subtracting 35 on both sides , we get

0.16m - 72 = 20

Adding 72 on both sides , we get

0.16m = 92

Divide by 0.16 on both sides , we get

m = 575 minutes

Hence , the number of minutes is m = 575 minutes

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The complete question is attached below :

Mrs. Watanabe is choosing a cell phone plan. One plan costs $35 a month and includes 450 minutes. The charge for each minute over 450 is $0.16. The company also offers an unlimited calling plan with a $55 monthly charge.At how many minutes would the cost of the two plans be the same?

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Answer:

0.20

Step-by-step explanation:

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Answer:

Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)

Step-by-step explanation:

F 4-(-114)

Answer:

F 4-(-114)

Step-by-step explanation:

The y-intercept of the graph is the point where the line crosses the y-axis. This indicates the sales of the donut shop when they first opened, which in this case is 17 million.

Shop refers to a place where goods and services are exchanged for money. It is a retail business where customers can browse, purchase and take away items. This includes physical stores, online stores, and marketplaces. In a store, customers can find a wide range of products and services, including clothing, electronics, furniture, food, books, and much more. Customers can also benefit from services such as product advice and customer service.

The point on the graph above can be interpreted as the sales of the donut shop in the 8th year since they opened. It shows that the shop has made 17 million in sales in that year.
The output value of this graph when the input value is 4 is 8 million, indicating that the donut shop made 8 million in sales in the 4th year since they opened.

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Answer:

(2x + 6)/3 = y

Step-by-step explanation:

2x + 5 = 3y - 1

2x + 5 + 1 = 3y

(2x +6)/3 = 3y

Answer:

4+7-2

=11-2

=9

Step-by-step explanation:

Answer: y=45

Step-by-step explanation:

y/27 is 9 times as much as 5/3, (because 9 times 3 equals 27, the denominator) and according to that logic, 5 x 9 = 45!

just ask if you need more info :3

Answer:

Step-by-step explanation:

Find attached the second one

Answer:

12

Step-by-step explanation:

To solve this, we need to apply the rule that (a × b)ⁿ = aⁿ ×  bⁿ

In other words, if we multiply two numbers that are raised to same power, we will get the same value as their product raised to that power.

In the case of 18, if we break it down to primary factors, we get:

3 × 3 × 2

= 3² × 2

To get a perfect cube, we need each of those factors to  become a perfect cube as well.  To do that we simply multiply by:

3 × 2² (which equals 12)

giving us:

3² × 2 × 3 × 2²

= 3³ × 2³

If we solve that we get:

= 27 × 8

= 216

which is the cube of 2 × 3, or 6³.

So the number you had to multiply by was 12.

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

5/8

Step-by-step explanation:

3/4 = 6/8

6/8 - x = 1/8

x = used gas = 5/8

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.

option (d) is correct [ans]

An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.

Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.

We write " Let k = n+1 or assume n = k+1".

And then, we say that, it is obvious that

n < k = n+1 < n+2 for any integer n.

Hence, option (d) is correct [ans]

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Answer:

The slope-intercept form of the equation of the line is (B) y=-3/10x+1/2

Step-by-step explanation:

1. Find the slope of the line using the slope formula.

Points: (-5, 2) and (5, -1)

(-1-2)/(5+10)=-3/10

2. Find the y-intercept of the equation by plugging in the slope of the line and a coordinate of the line into the slope-intercept form.

Slope-intercept formula: y=mx+b

-1=-3/10(5)+b

b=1/2

3. Put the slope-intercept form of the equation of the line together.

y=-3/10x+1/2

Answer:

y = -2/3 x - 1

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

-5 = -2/3 × 6 + b

-5 = -4 + b

b = -1

y = -2/3 x - 1