Without using a calculator, order the following
expressions from least to greatest.
√π
2√3

The measures of the indicated angles are YUZ = 105 and WUZ = 75

From the question, we have the following parameters that can be used in our computation:

The circle

From the circle, we hae

2x + 31 + 5x - 5 = 180

Evaluate

x = 22

Next, we have

YUZ = 5x - 5

YUZ = 5(22) - 5 = 105

WUZ = 180 - 105 = 75

XUV = cannot be determined and YWZ = cannot be determined

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The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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The experimental probability of the arrow stopping over section 1 is 7/13, or 0.538.

To calculate this, you need to take the number of times the arrow stopped on section 1 (45) and divide it by the total number of times the arrow was spun (80). This can be expressed as a fraction (45/80), which can be simplified to 7/13. To convert this fraction to a decimal, divide the numerator by the denominator (7/13 = 0.538).

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Answer:

Phase shift = \(\frac{3\pi }{5}\)

Vertical shift = \(0\)

Step-by-step explanation:

Shift Definition

\(\text{For\:}f\left(x\right)=A\cdot g\left(Bx-C\right)+D\text{,\:where\:}g\left(x\right)\text{\:is\:one\:of\:the\:basic\:trig\:functions,\:}\) \(\frac{C}{B}\text{\:is\:phase\:shift}\), \(D\text{\:is\:vertical\:shift}\)

Here we have

\(\left(x\right)=4\csc \left(\frac{5\theta-3\pi }{4}\right)\)

which can be written in the form \(g\left(Bx-C\right)=\csc \left(\frac{5\theta-3\pi }{4}\right)\)

So comparing the two we get \(B=\frac{5}{4}, C=\frac{3\pi }{4},\:D=0\)

Phase shift = \(\frac{C}{B} = \frac{\frac{3\pi }{4}}{\frac{5}{4}}\) \(= \frac{3\pi }{5}\)

Vertical shift \(D = 0\)

Answer:

19.77 ft

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.

sin 64  = opposite/hypotenuse = height /22

sin 64 = height / 22

22 * sin 64 = height = 19.77 ft

The answer is dependent on the volume of the cylindrical can and the volume of the pan. By comparing these volumes, it can be determined if V1 is larger than V2, then the pan may not be able to accommodate the entire contents of the soup can.

To determine if the contents of the cylindrical can of soup can fit into the pan, we need to compare the volumes of the two objects. The volume of a cylinder can be calculated using the formula V = πr^2h, where V represents the volume, r is the radius, and h is the height.

For the cylindrical can of soup with a radius of 1.5 inches and a height of 5 inches, the volume can be calculated as V1 = π(1.5)^2(5).

For the pan with a radius of 4 inches and a height of 3 inches, the volume can be calculated as V2 = π(4)^2(3).

By comparing the volumes V1 and V2, we can determine if the contents of the soup can fit into the pan. If V1 is smaller or equal to V2, then the soup can fit into the pan. If V1 is larger than V2, then the pan may not be able to accommodate the entire contents of the soup can.

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Answer:

this is your answer.......

Step-by-step explanation:

please mark me as the brainlliest

Answer:

2384

Step-by-step explanation:

40x50=2000

40x24/2=384

2000+384=2384

Answer:

2384

Step-by-step explanation:

1. Approach

To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.

2.Find the area of the rectangle

The rectangle will have the following dimensions,

(40) x (50)

To find the area of a rectangle, one will use the following formula,

(length) * (width) = (area)

Therefore, the area is the following,

(40) * (50) = 2000

3.Area of the triangle

3a. Approach

To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,

\(\sqrt{s(s-a)(s-b)(s-c)}\)

Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.

3b. Find the unknown side and semi-perimeter

It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,

\(a^2+b^2=c^2\)

Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),

\((40)^2=(24)^2+(b)^2\\\)

Simplify,

\(1600=576+b^2\)

Inverse operations,

\(1024=b^2\\\sqrt{1024}=b\\32=b\)

Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,

\(\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48\)

3c. Find the area of the triangle

Substitute into Heron's formula,

\(\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384\)

Add the area of the rectangle and triangle together to find the answer,

384 + 2000

= 2384

To complete the grouped relative frequency distribution for the data, you need to count the frequency of each data value within the given range, and then convert it to a relative frequency. For this example, the class width is 6, so you need to count the number of data values that fall within each range of 6 (e.g. between 0-6, 6-12, 12-18, etc). Then, you need to divide the frequency of each range by the total number of data values to get the relative frequency. The relative frequency should be written as a decimal, rounded to the nearest hundredth.

Once you have calculated the relative frequency of each range, you can create a table to show the grouped relative frequency distribution for the data.
In summary, to complete the grouped relative frequency distribution for the data, you need to count the frequency of each data value within the given range, and then divide the frequency by the total number of data values to get the relative frequency. The relative frequency should be written as a decimal, rounded to the nearest hundredth.

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The cost of hiring the car in pounds Nina hired is  £210.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Nina hired a car in the United States. The cost of hiring the car was $294.

Now, To covert the dollar into pounds, we have to multiply the total amount in dollars by the unit conversion rate which is, £1 = $1.4 ⇒ $1 = £(1/1.4),

Therefore,

$294 is equal to £(294/1.4) = £210.

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Answer:

No Solutions

Step-by-step explanation:

10 - 4(3-2y) = 8y - 5

Distribute:

10 - 12 + 8y = 8y - 5

Simplify:

-2 + 8y = 8y - 5

Same to both sides

-2 + 5 = 8y - 8y

3 = 0y

No Solutions

Let me know if you have any questions

Answer:

A, C, and E

Step-by-step explanation:

C is correct because it is a vertical angle

E is correct because it is equal to angle 10 and 10 is a linear pair to angle 9

A is correct because it is equal to angle 6 and 6 is a linear pair to angle 5

Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

Answer:

8,000 is 1,000 times bigger than 8

Answer:

1,000 times bigger because you have to add the 0's in it.

Step-by-step explanation:

Step-by-step explanation:

so, let me retype this.

horizontal asymptote : y = 2

that means lim x going to ±infinity f(x) = 2.

vertical asymptotes :

x = 3

x = -4

that means the function must have these 2 points, where the expression leads to a division by 0 or something similar that would make the result undefined.

we got 4 functions :

A) y = x²/(x² + x - 12)

B) y = x²/(x² - x - 12)

C) y = 2x²/(x² + x - 12)

D) y = 2x²/(x² - x - 12)

so, for which ones we have y = 2 as limit when x goes against + or - infinity ?

that would be C and D.

A and B lead to x²/x² = 1 as limit for gigantic numbers.

C and D lead to 2x²/x² = 2 as limit.

remember, when x gets really, really big, the "±x - 12" part becomes irrelevant.

so, we look at C and D.

which one lead to a division by 0 at x = 3 and x = -4 ?

that would be C.

for x = 3

x² + x - 12 = 3² + 3 - 12 = 9 + 3 - 12 = 12 - 12 = 0

for x = -4

x² + x - 12 = (-4)² - 4 - 12 = 16 - 4 - 12 = 12 - 12 = 0

D with x² - x - 12 would have x = -3 and x = 4 as zeroes.

these are different asymptotes than requested.

so, C is the right answer.

Answer:

15.6=C

Step-by-step explanation:

Area is equal to pi times radius squared. Circumference is equal to 2 times pi times radius. Divide area by pi and then take the square root of that number.

$2.89 ÷ 12.4 = .233

answer is $.23 per oz

Answer:

Step-by-step explanation:

Let's first write the equation.

Divide to find the "per ounce".

Solve.

Hence, it would require $0.23 to buy 1 ounce of crackers.

Hoped this helped.

\(BrainiacUser1357\)

The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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The required answer is the  equation .

A mathematical sentence that contains an equal sign is called an equation. This is because an equation is a statement that two expressions are equal.

a. Equation: An equation is a mathematical sentence that contains an equal sign. It shows that two expressions are equal. For example, "3x + 5 = 17" is an equation because it states that the expression "3x + 5" is equal to 17.

b. Inequality: An inequality is a mathematical sentence that uses inequality symbols like greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤). Inequalities do not necessarily contain an equal sign. For example, "2x + 3 > 10" is an inequality because it shows that the expression "2x + 3" is greater than 10.

c. Expression: An expression is a mathematical phrase that can include numbers, variables, and operations. Expressions can be simplified but cannot be solved because they don't contain an equal sign. For example, "2x + 3" is an expression because it consists of numbers, a variable (x), and an operation (+).

d. Variable: A variable is a symbol, usually a letter, that represents a quantity that can vary or change. Variables are used in mathematical equations and expressions to represent unknown values. For example, in the equation "3x + 5 = 17," the variable is "x" because its value is not specified.

In summary, a mathematical sentence that contains an equal sign is an equation because it states that two expressions are equal.

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Answer:

2

Step-by-step explanation:

Answer:

2t

Step-by-step explanation:

3t-t is the same as 3-1, so it equals 2t

The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

D -6x + 2 = -15

Step-by-step explanation:

-4(3/2 x - 1/2) = -15

-4 × 3/2 x + (-4) × (-1/2) = -15

-6x + 2 = -15

Answer: D -6x + 2 = -15

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

True , the given statement that If the p-value of an F statistic 2.63 is 0.034, then we can say that the problem of interest is significant at the 5% level because P-value is less than 0.05.

F statistic:

The overall significance F test indicates whether a linear regression model fits the data better than a model that does not include independent variables. It is given that the p-value for the F-statistic 2.63 is 0.034

i.e F-value > p-value

In the test, if the calculated F-value is greater than the critical F-value,then we reject the null hypothesis.

If the p-value is greater than 0.05, the result is not significant. The result is significant if the p-value is less than 0.05.

In this case, p-value is 0.034 < 0.05, which indicating that the result is significant

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Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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Answer:

The product of 12 and k is 84

According to the given problem, the equation is

\(\boxed{12k = 84} \\ k = \frac{84}{12} \\ \boxed{k = 7}\)

Answer:

pi is infinite

Step-by-step explanation:

pi rounded ends

Answer:

a) 224 oz

b) 96 oz

Step-by-step explanation:

first you multiply 7 by 32 to get 224oz

then you subtract 4 from 7 which is 3 and thats how many she has left but the question is asking for the weight of this so you multiply 3 by 32 and the answer is 96oz

The probability that a student plays either baseball or soccer is 0.4296 (or 42.96%).This is the long answer.

Percentage of students that play baseball = 18%Percentage of students that play soccer = 32%Probability of a student playing baseball given that the student plays soccer = 22%We need to find the probability that a student plays either baseball or soccer (or both).Let the probability of a student playing baseball be P(B)Let the probability of a student playing soccer be P(S)Using the formula of conditional probability:P(B|S) = P(B ∩ S) / P(S)Where P(B ∩ S) is the probability that a student plays both baseball and soccerP(B ∩ S) = P(B) + P(S) - P(B ∪ S) (Using the formula of probability of the union of two events)Where P(B ∪ S) is the probability that a student plays either baseball or soccer or bothP(B ∪ S) = P(B) + P(S) - P(B ∩ S)Now substituting the values in the formula:P(B|S) = P(B ∩ S) / P(S) => 0.22 = P(B) + P(S) - P(B ∪ S) / 0.32

Now we need to calculate the probability that a student plays either baseball or soccer or both. Using the formula of probability of the union of two events. P(B ∪ S) = P(B) + P(S) - P(B ∩ S)We know :P(B) = 0.18P(S) = 0.32We need to calculate P(B ∩ S) which can be calculated as follows :P(B|S) = P(B ∩ S) / P(S)0.22 = P(B ∩ S) / 0.32 => P(B ∩ S) = 0.22 x 0.32 = 0.0704Now substituting the values in the formula :P(B ∪ S) = P(B) + P(S) - P(B ∩ S)P(B ∪ S) = 0.18 + 0.32 - 0.0704 = 0.4296

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