Solve the right triangle. Round decimal answers to the nearest tenth.

A right triangle X Y Z with base X Y is drawn. The length of side Y Z is 18 units and length of side X Z is 25 units. Angle X Y Z is a right angle.

$m\angle X\approx$
$\degree$ , $m\angle Z\approx$
$\degree$ , $XY\approx$

Answer: In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

Step-by-step explanation:

According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.

Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.

Answer:

It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:

The retail price for the first range (0-20 pairs)

The retail price for the second range (21-40 pairs)

The retail price for the third range (41-60 pairs)

The retail price for the fourth range (61-80 pairs)

The retail price for the fifth range (81 or more pairs)

Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:

if (quantity >= 0 and quantity <= 20):

retail_price = price for 0-20 pairs

elif (quantity >= 21 and quantity <= 40):

retail_price = price for 21-40 pairs

elif (quantity >= 41 and quantity <= 60):

retail_price = price for 41-60 pairs

elif (quantity >= 61 and quantity <= 80):

retail_price = price for 61-80 pairs

else:

retail_price = price for 81 or more pairs

This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.

EDIT:

To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:

if (quantity >= 0 and quantity <= 20):

retail_price = 25.00

elif (quantity >= 21 and quantity <= 40):

retail_price = 23.00

elif (quantity >= 41 and quantity <= 60):

retail_price = 21.00

elif (quantity >= 61 and quantity <= 80):

retail_price = 19.00

else:

retail_price = 17.00

This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).

Step-by-step explanation:

Answer: 9.6 days

Step-by-step explanation:

Rashid can do a piece of work in 8 days. Rashid work rate will then be:

= 1/8 owe day.

Tipu can finish in 12 days. Tipu's work rate will be: = 1/12 owe day.

Their work rate together will then be:

= 1/8 + 1/12

= 3/24 + 2/24

= 5/24

From the calculation, together they will finish the work in:

= 1 ÷ 5/24

= 1 × 24/5

= 24/5 days

= 4.8 days

Busy since they are working on alternate days, then this will be multiplied by 2 which will be:

= 4.8 × 2

= 9.6 days

Answer: 0.875

Step-by-step explanation: 1 1/4 - 3/8 = 78 = 0.875.

Answer:

y=3x+14

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 3. So you can right away fill in the equation for a line somewhat to read:

y=3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,8). When x of the line is -2, y of the line must be 8.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,8).

So, why not plug in for x the number -2 and for y the number 8? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,8). y=mx+b or 8=3 × -2+b, or solving for b: b=8-(3)(-2). b=14.

The equation of the line that passes through the point (-2,8) with a slope of 3

is

y=3x+14

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = \(\frac{1-3}{1-0}\) = \(\frac{-2}{1}\) = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

Answer:

Step-by-step explanation:

A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46

To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units

Unit price = $2.76 ÷ 6

Unit price = $0.46

Therefore, the unit price of a bouncy ball is $0.46.

Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.

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Answer:

5. ∠BOC = 101°

6. ∠AOD = 160°

Step-by-step explanation:

5) 1) cari nilai x

\(150=(4x-7)+(2x-5)\\150=4x-7+2x-5\\150=6x-12\\6x=150+12\\6x=162\\x=\frac{162}{6}\\x=27\)

2) masukkan nilai x dalam (4x-7)

\((4x-7)\\=4(27)-7\\=108-7\\=101\)

6) 1) cari nilai x

\(180=x+(7x+20)\\180=x+7x+20\\180=8x+20\\8x=180-20\\8x=160\\x=\frac{160}{8}\\x=20\)

2) tolak 180° dengan nilai x

\(180-20=160\)

ataupun masukkan nilai x dalam (7x+20)

\((7x+20)\\=7(20)+20\\=140+20\\=160\)

The approximate age of the bone is 22920

The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.

since we know for half time

N = N₀(1/2) n     ..........1

where n is the new amount whereas N₀ is the initial amount  and n is the number of half time

since the ratio of  14c:12c  is 1/16

so the equation 1 gets converted  to

N/No =(1/2)n

=>1/16 = (1/2)n

=>(1/2)4 = (1/2)n

=> n= 4

So the age of the bone will be 4*  5730 =22920

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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?

Answer:

x= 2

Step-by-step explanation:

so you add the values given in the brackets and leave X as it is (do this on both sides of the equation.

1. (x + 5)(x+4)= (x+12)(x+1)

2. multiply the parenthesis on both sides or one at a time

so,  \(x^{2}\)+5x+4x+20 = \(x^{2}\)+12+1x+12

3. cancel like terms which we have \(x^{2}\) so remove that.

5x+4x+20=12+1x+12

4. collect like terms.

9x + 20 = 13x + 12

5. move like terms.

9x-13x=12-20 = -4 = -8

6. x= \(\frac{-4}{-8}\)  divide both sides by 4 or basically simplify 4 divided by 8

which leaves u with

x= 2

hope this helps x, let me know if u have any questions. photomath is an app that helps too.

Answer:

Maybe it's the first one

Step-by-step explanation:

Step-by-step explanation:

The -5   makes the waveform amplitude of 5  the wave goes down to -5  and up to +5   BUT the -10 shifts the whole wave down 10

so it goes from -15  to -5    and the midline is then   y =  -10

The word problem "the difference of twice a number and one" is equal to 2n - 1.

In Mathematics, an algebraic expression simply refers to a mathematical equation that can be used for showing the relationship which exist between two (2) or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

In order to translate this word problem into algebraic expression, we would assign a variable to the unknown number and then translate the word problem into algebraic expression as follows:

Let the variable n represent the unknown number.

Translating the word problem into an algebraic expression, we have the following;

Algebraic expression = (2 × n) - 1

Algebraic expression = 2n - 1

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Answer:

2.54

Step-by-step explanation:

\(2.535 \approx2.54\)

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

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Answer:

x = 15/7

Step-by-step explanation:

3(x - 5) + 2 = -2(2x - 1)

distribute 3 and -2

3x - 15 + 2 = -4x + 2

combine like terms on each side

3x - 13 = -4x + 2

combine like terms to same side

7x = 15

divide

x = 15/7

Answer:

5/8

To find:

x

Step-by-step explanation:

1/4x = 2/5

by cross multiplying,

4x × 2=5 × 1

8x=5

x=5/8

hope it helps you

The matrix A is given as follows: A = [−3 2 0 0; 1 −4 1 0; 0 1 −4 1; 0 0 2 −7].

We use the given data to find the numerical solution to the differential equation, as shown below:

xy ′′ (x)−(x+1)y ′ (x)+y(x)

=x 2 ,y ′ (1)

=2,y(5)=−1

Using the finite difference method with step size h=1 and the central-divided difference, we can represent the discretized boundary problem defined on the mesh points as follows:

2y2−(2 + 1) y1+y0

= 12y3−(3 + 1) y2+y1

= 22y4−(4 + 1) y3+y2

= 32y5−(5 + 1) y4+y3

= −1

The above system can be expressed in a matrix form as shown below:

AX = B,

where X = [y1, y2, y3, y4]T, A is a 4 × 4 matrix, and

B = [12, 22, 32, −1]T.

The matrix A is given as follows: A = [−3 2 0 0; 1 −4 1 0; 0 1 −4 1; 0 0 2 −7].

Thus, the linear system obtained in Part (1) can be expressed in a matrix form as AX = B,

where X = [y1, y2, y3, y4]T, A is a 4 × 4 matrix,

and B = [12, 22, 32, −1].

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Answer:

D

Step-by-step explanation:

Answer:

Hi! answer: 28.3

answer: 38.5

answer: 105

answer: 64

answer: 192

Simplification of the expression gives 2a + c = -24

4+4-3-4-2-5-1-8-9-0=a +c + a

First, let's add

\(8 -3 -4-2-5-1-8-9-0 = a+ c + a\)

Then, let's substract

\(-24 = a + c + a\)

\(-24 = 2a + c\)

We then have,

\(2a + c = -24\)

Thus, simplification of the expression gives 2a + c = -24

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There are 16 different relations on the set {0, 1}, which can be represented as the power set of the Cartesian product {0, 1} x {0, 1}. These 16 relations are:

1. {} (the empty set)

2. {(0,0)}

3. {(0,1)}

4. {(1,0)}

5. {(1,1)}

6. {(0,0), (0,1)}

7. {(0,0), (1,0)}

8. {(0,0), (1,1)}

9. {(0,1), (1,0)}

10. {(0,1), (1,1)}

11. {(1,0), (1,1)}

12. {(0,0), (0,1), (1,0)}

13. {(0,0), (0,1), (1,1)}

14. {(0,0), (1,0), (1,1)}

15. {(0,1), (1,0), (1,1)}

16. {(0,0), (0,1), (1,0), (1,1)}

Out of these 16 relations, the ones that contain the pair (0, 1) are:

3. {(0,1)}

6. {(0,0), (0,1)}

9. {(0,1), (1,0)}

10. {(0,1), (1,1)}

13. {(0,0), (0,1), (1,1)}

15. {(0,1), (1,0), (1,1)}

16. {(0,0), (0,1), (1,0), (1,1)}

Therefore, there are 7 relations that contain the pair (0, 1).

Answer:

Step-by-step explanation:

Answer: The value of q is 7.5.

Answer:

7.5

Step-by-step explanation:

Brainliest?

Answer: It will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Step-by-step explanation: To calculate the cost of framing Jayla's math certificate, we need to determine the perimeter of the certificate, which is the sum of the lengths of all four sides.

Perimeter = 2 × (height + width)

Perimeter = 2 × (19 + 29)

Perimeter = 2 × 48

Perimeter = 96 centimeters

So the perimeter of the certificate is 96 centimeters.

To find the cost of framing, we need to multiply the perimeter by the cost per centimeter of the fancy frame:

Cost = perimeter × cost per centimeter

Cost = 96 × $0.03

Cost = $2.88

Therefore, it will cost $2.88 to frame Jayla's math certificate with the fancy frame.

Answer:

3/8

Step-by-step explanation:

2 1/8 - 1 3/4

2 1/8 - 1 6/8

17/8 - 14/8

3/8

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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