The function h is defined by h (x) = x² + 3. Find h (3x) A (3x) = []​

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ1

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ9

Answer:

can you please specify the question i mean is this like

Step-by-step explanation:

let the no. be x

ATQ

3x-7

or

3x= -7

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

Answer:

9 m²

Step-by-step explanation:

The perimeter of a square is 4x, where is the length of one side (because all the sides have the same length).

This means that 4x = 12, so x = 3, in other words the length of one side of the square is 3 m.

To work out the area of the square, multiply the length and the width together: 3 x 3 = 9 m²

Hope this helps!

Answer:

4 lollipops and 3 penicls in each bag, so 50 bags

Step-by-step explanation:

I've had to do this one before

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

To know more about Division here.

https://brainly.com/question/21416852

#SPJ1

Answer: Carlos walks for 1.6 hours or 96 minutes.

Step-by-step explanation:

d=rt
d=distance 4.8=d

r=rate 3=r

t=time t=?

4.8 = 3(t)

Divide both sides by 3

1.6 = t

So Carlos walked for 1.6 hours or 96 minutes.

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of \(^mC_k = \dfrac{m!}{k! \times (m-k)!}\) ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

\(^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}\)

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = \(^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730\)

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

Answer:

sure just bring the question and it will be answered

Answer:

.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

ANSWER

18.58 m

EXPLANATION

We need to find the perimeter of the shaded region of the figure.

The figure is made up of a rectangle with the cut out of a semi-circle, so, to find the perimeter, we will subtract the perimeter of the semi-circle (without the diameter) from that of the rectangle.

The perimeter of the rectangle is:

P = 2(L + B)

where L = length = 8 m

B = breadth = 6 m

So, the perimeter of the rectangle is:

P = 2(8 + 6) = 2 * 14

P = 28 m

The perimeter (circumference) of the semi-circle (without the diameter) is:

C = π * R

where R = radius of the semicircle

The diameter is 6 m, so the radius is:

R = D / 2 = 6 / 2 = 3 m

So, the circumference of the semicircle is:

C = 3.14 * 3

C = 9.42 m

So, the perimeter of the composite figure is:

P = 28 - 9.42

P = 18.58 m

That is the answer.

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

The number of element sample space for the experiment is n(T) = 8.

Determine the probability for the number 5.

The possible number greater than 3 are 4, 5, 6, 7, and 8. So number of possible outcome for greater than 3 are 5.

Determine the probaility for the number greater than 3.

Both events are independent. So probability for number 5, and greater than 3 is,

Answer: 5/64

Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

The answer is NO

Reason

x= 2 y= 1

Now input in the first inequality

y≤ -x + 4

1 ≤ -2 +4

1≤ 2 i.e 1 is less than two

Next inequality

y≤ x +1

1 ≤ 2 + 1

1≤ 3 i.e 1 is less than 3

But 1 is not equal to 3 and also not equal to 2

Hence our answer is NO

There are 135 truffles included in the box with dimensions 15 in by 12 in by 1.5 in, assuming each truffle has a volume of two cubic inches.

To determine the number of truffles included in the box, we need to calculate the volume of the box and divide it by the volume of each truffle.

The volume of the box is given by multiplying its length, width, and height:

Volume of box = 15 in * 12 in * 1.5 in = 270 cubic inches

Since each truffle has a volume of two cubic inches, we can divide the volume of the box by the volume of each truffle to find the number of truffles:

Number of truffles = Volume of box / Volume of each truffle

Number of truffles = 270 cubic inches / 2 cubic inches = 135 truffles

Therefore, there are 135 truffles included in the box.

For more questions on dimensions visit:

https://brainly.com/question/28107004

#SPJ8

Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

We have two options (OP) when renting a car:

Cost of OP1 (COP1):

COP1 = Dayly fee = $50, Cost per mile = $0.15

Since you need the car for three days, the cost for renting the OP1 will be:

OP1 = 50*3 + 0.15x

COP1 = 150 + 0.15x

where x is the miles

Cost of OP2 (COP2):

COP2 = Dayly fee = $65, Cost per mile = $0.00

For three days, the cost for OP2 will be:

COP2 = 65*3

COP1 = $195

Now we will calculate in which situation OP2 is better (cheaper) than OP1.

That is, COP2

195<150+0.15x

195-150<0.15x

45<0.15x

45/0.15300or

x>300 miles

You have to travel more than 300 miles to option 2 be the best option.

Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

Answer:

second

Step-by-step explanation:

(5x+3)/x=

5x/x + 3/x=

5+3/x

Answer:

Step-by-step explanation:

Answer:

1. distance = 275 ft

2. rate = 55 miles/hour

Step-by-step explanation:

April travels at the rate of 25 ft per seconds and the time she spent traveling is 11 seconds. How far she traveled is the distance she covered. The rate or the speed unit is given as ft per seconds. Therefore, the distance covered can be expressed as follows.

rate = distance/time

where

rate = 25 ft/sec

time = 11 secs

rate = distance/time

25 = distance/11

cross multiply

distance = 25 × 11

distance = 275 ft

Isaac drove for 3 hours and he covered a distance of 165 miles. The rate of travel can be expressed as follows

rate = distance/time

distance = 165 miles

time = 3 hours

rate = 165/3

rate = 55 miles/hour

Answer:

i think its 5/3, answer C.

Step-by-step explanation:

I think its answer C because each because you should do the number of people divided the kilometer. ? im not sure but i hope this gives a few ideas for you

Answer : C. 5/3

Explanation : Cancel The Common Factor Of 3 Witch Is 5

(Did It On Khan Academy)

◊ YusuCr ◊

Answer 39.370

Step-by-step explanation:

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

For such more questions on differential equation

https://brainly.com/question/18760518

#SPJ8