I am a two digit number
My ones digit is equal to 7minus 3
My tens digit and my ones when added together equals to an even number
What number am I?

The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.

Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-

(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)

Here, we are given that h(7) = -10 and h(-2) = 8

This, means that (7, -10) and (-2, 8) will satisfy the given function

Since, we have two points, we will use the two point form to find the equation of function h.

Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-

( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)

y - 7 = (-18/9) (x + 10)

y - 7 = -2(x + 10)

y - 7 = -2x -20

y = -2x -20 + 7

y = -2x -13

Thus, h(x) = -2x -13

Hence, h(3) = -2(3) -13

= -6 -13

= -19

Therefore, h(3) = -19

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Answer:

72°

Step-by-step explanation:

Para el pentagono ABCDE,

m<C = (n - 2)(180)/n = (3)(180)/5 = 108

m<D = m<C = 108

Para el quadrilatero BCDE,

m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360

m<C = m<D = 108

m<CBE = m<DEB = x

m<CBE + m<C + m<D + m<DEB = 360

x + 108 + 108 + x = 360

2x + 216 = 360

x + 108 = 180

x = 72

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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According to the pie chart given -

a) The worker saved GH¢ 20.00.

b) 2/5 fraction of worker's salary was spent on food.

c) The worker spent GH¢ 120.00 on food.

What is a pie chart?

One sort of graph that illustrates the information in the circular graph is a pie chart. It is a sort of graphical representation of data where the slices of pie depict the relative sizes of the data. A list of numerical and categorical variables is necessary for a pie chart. Pie in this context refers to the entire thing, and slices to its component portions.

The rent charges is = GH¢ 80.00

The savings can be obtained by ratio method -

Savings is depicted by 24° and rent by 96° in the pie chart.

So, the ratio will be 24/96.

Then the savings value will be -

(24/96) × 80

(1/4) × 80

20

Therefore, the savings value is GH¢ 20.00.

The total angle of pie chart is 360°.

Savings is depicted by 24°, rent by 96°, entertainment by 48° and clothing by 48° in the pie chart.

The angle for food will be -

360° - (24° + 96° + 48° + 48°)

360° - 216°

144°

Now the fraction that is for food -

144/360

2/5

Therefore, food covers 2/5 part of pie chart.

The amount spent on food can be obtained by formula of angle sector -

(144/96) × 80

1.5 × 80

120

Therefore, money for food was GH¢ 120.00.

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Answer:

(1, 3) should be the answer when u check it all out ya!! but try yourself tho

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

its a or the A135 one

Step-by-step explanation:

because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135

Answer:

A!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

x = 32

Angle 1 = 96

Angle 2 = 84

Step-by-step explanation:

3x + x + 52 = 180

4x + 52 = 180

     -52     -52

4x = 128

divide by 2

x = 32

___________________

1 = 3x

3(32)

1 = 96

___________________

2 = x + 52

2 = 32 + 52

2 = 84

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-XxDeathshotxX

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

Step-by-step explanation:

The region R is bounded below by y=1 and above by f(x) where

\(f(x)=\begin{cases}3,&1\leq x\leq 2\\\\-x+5,&2\leq 3\end{cases}\)

and we integrate the R over the interval [1,3]

A.

\(V=\int_1^3 \pi(f(x)^2-1^2)\, dx\\V=\int_1^2 \pi(3^2-1^2)\, dx +\int_2^3 \pi((-x+5)^2-1^2)\, dx\\=9\pi + \int_2^3 \pi(x^2-10x+24)\, dx\\=9\pi +\pi\left({[(1/3)x^3-5x^2+24x]_2^3\right)\\=9\pi + \pi( (19/3) -25 +24)\\=9\pi +(16/3)\pi=43/3 \pi.\)

For part B

\(V=\int_1^3 2\pi x(f(x)-1)\, dx\)

and you can compute the integral similarly as above, just split the integral into two integrals, one over [1,2] and the other is over [2,3].

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.

En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.

Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:

I = (1 + r / 36500)ⁿ

Donde:

La situación es descrita por la siguiente expresión matemática:

1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵

Donde R es la tasa efectiva de interés anual.

Finalmente, despejamos la variable correspondiente:

R = 21,375

La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.

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The radical expression when written as an exponential expression is; 15  1/2

Radicand: The value or expression contained inside the radical symbol.An equation that uses radical expressions as radicands and contains variables is referred to as a radical equation.

A superscript number will be present in the 'V'-shaped portion of the symbol when the radical symbol is used to represent any root other than a square root.For instance, 3(8) denotes the cube root of 8.use the Product Property to imply a radical phrase.A perfect power of the index has the largest factor in the radicand.

The radical expression when written as an exponential expression is;

15  1/2

According to the law of indices, the square root of.A number is equal to that amount raised by a factor of two.

On this note, The radical expression √15 given can be written as an exponential expression to give; 15^1/2.

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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

Step-by-step explanation:

A quadrilaterals are plane figures bounded by four sides. Examples are; square, rectangle, parallelogram, kite, trapezium etc.

Given: parallelogram WXYZ

           ZX ≅ WY

Prove: WXYZ is a rectangle

WZ ≅ XY (opposite sides property)

YZ ≅ WX (opposite sides property)

<WZY ≅ <ZWX ≅ <WXY ≅ <XYZ = \(90^{0}\) (angle property of a rectangle)

<YZW ≅ <WXY (opposite angles are congruent)

ΔZYW ≅  ΔXTW (Side-Angle-Side property)

ZX ≅ WY

Therefore, the parallelogram is a rectangle.

Answer: This is the right answer

Step-by-step explanation:

Below

Answer:

a) 0.0835 = 8.35% of students at the university are statistics majors

b) 0.8623 = 86.23% are at the Main campus

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for item b.

a. What proportion of students at the university are statistics majors?

12% of 60%(At the main campus).

4% of 25%(Downtown campus).

The rest is 100 - 60 + 25) = 15%.

1% of 15%(Bay Area Campus). Si

\(p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835\)

0.0835 = 8.35% of students at the university are statistics majors.

b. Of all statistics majors at the university, what proportion are at the Main campus?

Using conditional probability to find the percentage.

Event A: Statistics majors, so \(P(A) = 0.0835\)

Event B: Main Campus

Intersection of A and B:

12% of 60%. So

\(P(A \cap B) = 0.12*0.6 = 0.072\)

Percentage:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623\)

0.8623 = 86.23% are at the Main campus

The exponential function that models this situation is given as follows:

y = 3(5)^x.

The y-intercept of the exponential function represents the number of people that were called by the administrators.

The graph of the exponential function is given by the image presented at the end of the answer.

The general format of an exponential function is given as follows:

y = a(b)^x.

In which:

First, the 3 school administrators decide when an announcement is needed, hence the parameter a, representing the y-intercept, is given as follows:

a = 3.

In each round, each person inserted into the conversion calls 5 more people, hence the parameter b is given as follows:

b = 5.

Meaning that the function is defined as follows:

y = 3(5)^x.

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The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

Step-by-step explanation:

The square root of 20 is √(2 * 2 * 5) which is 2√5  Not so

√5 does not terminate and there is no pattern to the decimal. √5 is irrational.

Neither one is correct.

The area of the shaded region in terms of π is equal to 25π/3 cm².

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = θπr²/360

Where:

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θπr²/360

Area of sector = 120(π/360) × 5²

Area of sector = (π/3) × 25

Area of sector = 25π/3 cm²

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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Answer:

(b) 11/15

Step-by-step explanation:

We can use the formula:

P(A U B) = P(A) + P(B) - P(A n B)

where P(A n B) is the probability of the intersection of events A and B.

We are given:

P(A) = 2/3

P(B) = 4/5

P(A U B) = 11/15

Substituting these values into the formula, we get:

11/15 = 2/3 + 4/5 - P(A n B)

To solve for P(A n B), we can simplify the right-hand side:

11/15 = 10/15 + 12/15 - P(A n B)

11/15 = 22/15 - P(A n B)

P(A n B) = 22/15 - 11/15

P(A n B) = 11/15

Therefore, the answer is (b) 11/15.

Answer: 1/2 is

Step-by-step explanation:

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

x=40 for both

Using the pythag theorem: a^2+b^2=c^2

30^2+x^2=50^2

solve for x

x=40