Plzzz someone help me with these 2 problems I will give you 33 points

Answer:

\(f(5) = -13t-5\)

Step-by-step explanation:

=> \(f(x) = x^2-13t-30\)

Put x = 5

=> \(f(5) = (5)^2-13t-30\)

=> \(f(5) = 25-30-13t\)

=> \(f(5) = -13t-5\)

Answer:

-13t - 5

Step-by-step explanation:

Put x as 5 and solve for the function.

f(5) = (5)² - 13t - 30

Splve for the exponent.

f(5) = 25 - 13t - 30

Add or subtract like terms.

f(5) = -13t - 5

Answer:

135 m

Step-by-step explanation:

Draw a diagram, set your calculator to degrees and solve.

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer: x+5.2

Step-by-step explanation:

The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

I think its Your Values, but try and a get a second opinion

Answer: 16.1 kilometers

Step-by-step explanation:

He drove a total of 10 miles, 1 mile=1.61 kilometers

1.61 kilometers x 10 = 16.1 kilometers

Answer:

16.1

Step-by-step explanation:

I got it correct

a) The total surface area of tin C in terms of π is 216π cm².

b) The mass of tin D is 780 g.

a) To find the total surface area of tin C, we need to calculate the lateral surface area of the cylinder and add it to the area of its two circular bases.

Given that the radius of tin C is 6 cm (half of the diameter, which is 12 cm), we can calculate the lateral surface area using the formula: lateral surface area = 2πrh, where r is the radius and h is the height.

The height of tin C is given as 7 cm, so the lateral surface area of tin C is:

lateral surface area = 2π(6 cm)(7 cm) = 84π cm²

The area of the two circular bases can be calculated using the formula: area = πr², where r is the radius.

The area of each circular base of tin C is:

area = π(6 cm)² = 36π cm²

Therefore, the total surface area of tin C is:

total surface area = lateral surface area + 2(area of circular base)

total surface area = 84π cm² + 2(36π cm²) = 216π cm²

b) The mass of tin D is directly proportional to its surface area. We are given that the surface area of tin D is 780π cm². Since the mass and surface area are proportional, we can set up a proportion:

mass of tin D / surface area of tin D = mass of tin C / surface area of tin C

Plugging in the values we know:

mass of tin D / (780π cm²) = 76 g / (216π cm²)

Cross-multiplying, we get:

mass of tin D = (780π cm² * 76 g) / (216π cm²)

Simplifying, we find:

mass of tin D = 780 g

Therefore, the mass of tin D is 780 g.

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Answer: I got a -2

Step-by-step explanation:

Hope it’s right and helps!

Answer:

-4.

Step-by-step explanation:

The - 4 :- this represents a horizontal shift of 4 units to the right.

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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The coefficients (Bo, B1, B2, ..., Bt, ..., Bn) in the panel data model are related to the coefficients (a1, a2, ..., an, A1, A2, ..., AT) as follows:

1. Bo: This represents the intercept term in the panel data model. It is related to the individual fixed effects coefficients (a1, a2, ..., an) and the time fixed effects coefficients (A1, A2, ..., AT) as Bo = a1 + A1.

2. B1: This represents the coefficient of the regressor X1 in the panel data model. It is related to the individual fixed effects coefficients (a1, a2, ..., an) as B1 = a1.

3. B2: This represents the coefficient of the time indicator variable for t = 2 in the panel data model. It is related to the individual fixed effects coefficients (a2, ..., an) as B2 = a2.

4. Bt: These coefficients represent the coefficients of the time indicator variables for t > 2 in the panel data model. They are related to the individual fixed effects coefficients (a2, ..., an) as Bt = 0 for t > 2.

5. Bn: This represents the coefficient of the individual indicator variable for i = n in the panel data model. It is related to the individual fixed effects coefficients (an) as Bn = an.

In summary, the coefficients in the panel data model are related to the individual fixed effects coefficients (a1, a2, ..., an) and the time fixed effects coefficients (A1, A2, ..., AT) in a specific manner as described above.

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Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

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Answer:

8 pencils for every 4 students

Step-by-step explanation:

Answer:

4 pencils per 2 students

explanation:

i just did it

If 5x + 15 ≥ 0, then |5x + 15| = 5x + 15. The equation reduces to

5x + 15 = 10x

15 = 5x

x = 3

If instead 5x + 15 < 0, then |5x + 15| = -(5x + 15), and the equation becomes

-5x - 15 = 10x

-15 = 15x

x = -1

If x = 3, then |5x + 15| = 30 and 10x = 30, so x = 3 is a valid solution.

If x = -1, then |5x + 15| = 10 while 10x = -10, so x = -1 is the extraneous solution.

Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equation.

Divide the given number into its prime factors as the first step. Form similar factor pairs in which both factors are equal. This is step two. Take one factor from the pair in step three. Step 4: Calculate the product of the factors you got by taking one from each pair of factors.

A number's fourth root is the same as its square root's fourth root. The radical is multiplied by 4 to represent the fourth root, representing it as 4. For instance, 16's fourth root is is 2, i.e. 2 × 2 × 2 × 2 = 16.

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The complete question is " Simply quadratic equation √15x² • √10x³ . "

Answer: 50

Step-by-step explanation:

Triangle LNK equals 180 degrees, we know that angle N is 58 degrees and angle NLK is 72 degrees, so we can just subtract 72 and 58 from 180 to get angle LKN. Hope that helps

Answer:

Step-by-step explanation:

Interior angles in the triangle sum to 180°

The angle at which the man should observe is 45 degrees.

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = \(tan^{-1} (1)\)

∅ = 45°.

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The daily percent of increase in tourists from one month to the next is approximately 5.4% which is obtained through mathematical operations.

To calculate the daily percent of increase, we need to determine the difference in the number of tourists between the two months and divide it by the number of days in the second month. Then, we express this difference as a percentage.

In the given scenario, the increase in tourists from the first month to the second month is 6355 - 4500 = 1855. The number of days in the second month is 31. Dividing the increase by the number of days gives us

1855 / 31 = 59.8387.

To express this increase as a percentage, we multiply the result by 100, yielding 5983.87%. Rounding this to the nearest tenth of a percent gives us approximately 5983.9%.

Finally, to find the daily percent of increase, we divide the percentage by the number of days in the second month: 5983.9% / 31 = 5.4%.

Therefore, the daily percent of increase in tourists from one month to the next is approximately 5.4%.

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Answer:

Step-by-step explanation:

Domain is the set of all possible inputs (x) for the function f(x)

The range is the set of all possible values for that domain

This function is 4x + y = 3 which can be re-written as y = 3-4x

Plug in each of the domain values and you will get the range

For -2 : y = 3-4(-2) = 3 + 8 = 11

For 1:  y = 3-4(1) = -1

For 5: y = 3-4(5) = -17

So range is {-17, -1, 11}  

Answer:

the answer is (-5,0)

Step-by-step explanation:

A=(1,3)

rule-(1-6,3-3)=(-5,0)

Answer:

57%

Step-by-step explanation:

FORMULA:LESS/TOTAL × 100%

=52/92 × 100%

=56.52 %

ROUND OFF TO NEAREST WHOLE NUMBER

56.52%=57%

(because the 5 after the (.) is near 1)

The given statement is always true.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

We have a geometrical figure and a statement describing it.

The given statement is -

When the measure of ∠4 is 120°, the measure of ∠1 is 60.

We have ∠4 = ∠1 = 120° {vertically opposite angles}

and

∠1 + ∠2 = 180°

∠1 = 180 - 120 = 60°

Therefore, the given statement is always true.

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Answer: 6000

Step-by-step explanation:

For the numbers you choose, there are 10, then 20, then 30 possible numbers to choose from.

To find the total amount of possible combinations with repetition, you just do 10x20x30 = 6000.

Answer:

its the  firs one

Step-by-step explanation:

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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The value of k that makes the statement true is: k = -4.

If we are given an equation that has an unknown variable, to find the value of the variable, solve to isolate the variable. The value of the variable is what will make the equation a true statement.

Given the equation:

-k + 12 = 16

Subtract 12 from both sides

-k + 12 - 12 = 16 - 12 [subtraction property]

-k = 4

Divide both sides by -1

-k/-1 = 4/-1 [division property]

k = -4

Check: substitute k = -4 into the equation

-k + 12 = 16

-(-4) + 12 = 16

4 + 12 = 16

16 = 16 [true]

Therefore, the value of k that makes the statement true is: k = -4.

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