Victim but jeans on sale for $60 the silver 20% off what was the original price of the

Answer:

10

Step-by-step explanation:

2272-875=1397

Factors of 1397: 1, 11, 127, 1397

Where's the three-digit number? ==> 127 is the three-digit number

875/127 = 6.889

1397/127=11

2272/127=

(875+1397)/127=

875/127 + 1397/127=  ==> substitute 11 for 1397/127 and 6.889 for 875/127

6.889 + 11 = 17.889

Hence, 2272/127=17.889

Hence, 2272 and 875 have the same remainder when divided by 127.

Now add the digits:

1+2+7=10

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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The function f(t) can be determined by integrating f'(t) and applying the initial condition. The result is f(t) = tan(t) - ln|sec(t)| + C, where C is a constant. By substituting the initial condition f(π/4) = -1,

To find the function f(t) given f'(t) = sec^2(t) + tan(t), we integrate f'(t) with respect to t. Integrating sec^2(t) gives us tan(t), and integrating tan(t) gives us -ln|sec(t)| + C, where C is a constant of integration.

Thus, we have f(t) = tan(t) - ln|sec(t)| + C.

Next, we need to determine the value of C using the initial condition f(π/4) = -1. Substituting t = π/4 into the equation, we have -1 = tan(π/4) - ln|sec(π/4)| + C.

Since tan(π/4) = 1 and sec(π/4) = √2, we can simplify the equation to -1 = 1 - ln√2 + C.

Rearranging the equation, we get C = -1 - 1 + ln√2 = -2 + ln√2.

Therefore, the specific function f(t) with the given initial condition is f(t) = tan(t) - ln|sec(t)| - 2 + ln√2.

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The probability that a person responded Yes or was under the Age of 55 was C. 57 %

The probability that a person who responded either said yes or was under the Age of 55 is:

= Probability that a person answers yes + probability that a person is under 55 - Probability that a person was under 55 and answered yes

The probability a person who responded either said yes or was under the Age of 55 is therefore:

= ( 25 / 103 ) + ( 59 / 103 ) - 17 / 103

= 57 %

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Answer:

B

Step-by-step explanation:

Answer:

14-5=9, then 34 / 9 x 2, 9x2=18, 34 / 18= 1.888888 orrrr 34 / 9= 3.7777 that x 2 = 7.55555554

The slope in the regression equation is the coefficient that represents the change in the response variable (in this case, hurricane wind speed) for every one-unit increase in the predictor variable (central pressure).

In the context of hurricane wind speed and central pressure, the slope represents the strength of the relationship between these two variables. A higher slope value indicates a stronger relationship between central pressure and wind speed, meaning that changes in central pressure have a larger impact on wind speed. Therefore, the slope is an important factor to consider when predicting or analyzing hurricane intensity.

In the context of hurricane wind speed and central pressure, the slope in the regression equation represents the relationship between the two variables. It shows how much the wind speed changes with respect to a change in central pressure.

To interpret the slope in this context, follow these steps:

1. Obtain the regression equation for the data on hurricane wind speed and central pressure. This equation will be in the form of y = mx + b, where y is the wind speed, x is the central pressure, m is the slope, and b is the y-intercept.

2. Identify the slope (m) in the equation. The slope represents the change in wind speed for every unit change in central pressure.

3. Interpret the slope value: If the slope is positive, it means that as central pressure increases, wind speed also increases. If the slope is negative, it indicates that as central pressure increases, wind speed decreases. The magnitude of the slope shows the strength of this relationship.

In conclusion, the slope in the regression equation between hurricane wind speed and central pressure helps us understand how the wind speed changes with respect to changes in central pressure, allowing for better prediction and analysis of hurricane behavior.

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Answer:

2sqaured + 24

Step-by-step explanation:

Answer: The probability of the spinner not landing on green on the first spin is 1 - 0.45 = 0.55.

The probability of the spinner landing on green on the second spin is 0.45.

To find the probability of both events happening (not landing on green on the first spin AND landing on green on the second spin), we multiply the probabilities:

0.55 x 0.45 = 0.2475, or 24.75%.

Therefore, the probability of the spinner first not landing on green, spun again and then landing on green is 24.75%.

Step-by-step explanation:

The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.

This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.

In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.

So, the matrix A must have the following form:

A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

where each aij is a scalar.

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The probability that Devesh fails both math and physics is 0.1517 or approximately 0.152.

To determine the probability that Devesh fails both math and physics, we can use the complement rule. The complement of event A (Devesh passing math) is the event A' (Devesh failing math), and the complement of event B (Devesh passing physics) is the event B' (Devesh failing physics). The probability of Devesh failing math is given by P(A') = 1 - P(A) = 1 - 0.63 = 0.37. Similarly, the probability of Devesh failing physics is given by P(B') = 1 - P(B) = 1 - 0.59 = 0.41.

To find the probability that Devesh fails both math and physics (A' and B'), we multiply the probabilities of the individual events: P(A' and B') = P(A') × P(B') = 0.37 × 0.41 = 0.1517. Therefore, the probability that Devesh fails both math and physics is 0.1517 or approximately 0.152 (rounded to three decimal places).

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b r = 17 - b

when it is 8 inches tall after 9 inches have burned from the candle.

A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.

In the theory of logic, the word "formula" is also frequently used to refer to a sentential formula, also known as a propositional formula, or a formula in propositional calculus.

A 17 inch candle is lit and steadily burns until it is burned out.

Let b represent the burned length of the candle (in inches ) and let r represent the remaining length of the candle (in inches) .

Write a formula that expresses r in terms of b r = 17 - b  

Preview b. When 6.8 inches have burned from the candle, the remaining length of the candle is 10.2 inches.

Therefore the point should be on the graph of r in terms of b. c. On the graph below:

i, represent the linear relationship between l and b ii. plot the point that represents the candle when it is 8 inches tall after 9 inches have burned from the candle.

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Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

\(\Rightarrow\ AB=\dfrac{AC}{2}\)

If \(AB = 4x + 1\) and \(AC = 5x + 20\), then we have

\(4x+1=\dfrac{5x+20}{2}\)

Multiply 2 on both sides, we get

\(2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6\)

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= \(\dfrac{50}{2}=25\text{ units}\)  

Hence, the length of BC is 25 units.

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

the slope is 2

Step-by-step explanation:

2-8

-2-1

-6/-3

slope is 2

slope is (y2-y1)/(x2-x1)

[1] 0.25, 0.25%, or \(\frac{1}{4}\)

     We will divide the number of wanted outcomes by possible outcomes.

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}\)

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}\)

(b)

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}\)

(c)

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}\)

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

The probability of two orange marbles being chosen from the bag is 6/12 * 5/11 = 5/22.

This is calculated by dividing the total number of orange marbles (6) by the number of marbles in the bag (12) to get the probability of choosing one orange marble = 6/12

This probability is then multiplied by the probability of choosing the second orange marble, which is the number of orange marbles remaining (5) divided by the number of marbles remaining in the bag (11) = 5/11

So, probability of two orange marbles being chosen from the bag

= 6/12 * 5/11

= 30/132

= 5/22

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The net force on a vehicle is directly proportional to its acceleration and mass, according to Newton's Second Law of Motion. Therefore, we can use the equation F = ma, where F is the net force, m is the mass of the vehicle, and a is the acceleration.

We know that the net force on the vehicle is 1800 and its acceleration is 1.5. Substituting these values into the equation, we get:
1800 = m × 1.5

To solve for m, we need to isolate it on one side of the equation. Dividing both sides by 1.5, we get:

m = 1800 ÷ 1.5

m = 1200

Therefore, the mass of the vehicle is 1200 kilograms to the nearest kilogram

Net force = mass × acceleration

In this case, the net force on the vehicle is 1800 N (Newtons), and it is accelerating at a rate of 1.5 m/s² (meters per second squared). We can rearrange the formula to solve for mass:

Mass = net force ÷ acceleration

Now, plug in the given values:

Mass = 1800 N ÷ 1.5 m/s²

Mass ≈ 1200 kg

To the nearest kilogram, the mass of the vehicle is approximately 1200 kg.

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Answer:

1 is A 2 Is B

Step-by-step explanation:

I hope this helps

the temperature at 7 am is what the -5 represents

Answer:

x=125    y=130

Step-by-step explanation:

I believe if you add 50+75 you get x

50+75=125

And if you subtract 180 from 50 you get y

180-50= 130

The reason being is because the two numbers inside the triangle add up to the number outside of the triangle "x". Then you would subtract 180 from 50 because that is a supplementary angle meaning it adds up to 180 to get the number on the outside of the triangle "y".

Hope this helped!

The missing frequency in the given table is 24.

What is frequency?

To find the missing frequency, we need to use the information given in the histogram and the frequency table.

We can see from the histogram that the missing class interval is 26-28.

The total frequency for all class intervals is the sum of the frequencies in the table:

110 + 36 + 180 + f = 326 + f

We also know that the total frequency is the number of phones recorded by the manufacturer, so we can assume that the total frequency is a whole number.

Since the sum of the frequencies in the table is 326, the missing frequency must be:

f = total frequency - sum of the other frequencies

f = 350 - 326

f = 24

Therefore, the missing frequency is 24.

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Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

Answer:

b (x+4)

Step-by-step explanation:

edge

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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The statement about the equation that is true is that; (2,-9)  is a solution.

We know that a solution to an equation is the ordered pair that can be used to describe the equation and those satisfy the equation as written. In this case, we have the equation; 5x - y/3 = 13.

We can rewrite the equation from;

5x - y/3 = 13

15x - y/3 = 13

15x -y = 39

y = 15 x - 39

Trying the ordered pairs;

y = 15(2) - 39 = -9

Thus (2,-9)  is a solution

Again;

y = 15(3) - 39 = 6

Thus (3,-6) is not a solution

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Missing parts;

Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y3=13 ?

Both ordered pairs are solutions.

Neither ordered pair is a solution.

(2, −9) is a solution to the equation.

(3, −6) is a solution to the equation.

The correct expression is,

⇒ p = k / n

where, p is the number of pizza and k is the constant and n is the number of persons.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The number of pizza slices varies inversely as the number of people sharing the whole pizza.

Let p is the number of pizza and k is the constant and n is the number of persons.

Hence, We can formulate the expression,

⇒ p = k / n

Where, k is constant of proportional.

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Answer:

Step-by-step explanation:

30/7

74/9

47/7

Answer:

its 1

Step-by-step explanation:

the value of x and x is like having 1÷1 = 1

same with x : x÷x=1

since x is just a value

When x is divided by x , it's 1.

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

x is divided by x

=x/x

=1.

Hence, When x is divided by x , it's 1.

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Answer:

y=3/2x-7

Step-by-step explanation:

Answer:

\(y=\frac{3}{2}x -7\)

Step-by-step explanation:

hope this helps!

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

Solution

(a)

(b)

(c)