Solve the compound inequality for x and identify the graph of its solution.
x+ 5 = 1 and x-7< - 3
Help ASAP please

The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:

hope this helped!

Answer:

It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.

To find the range subtract the lowest value from the highest value

Step-by-step explanation:

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

The number of questions that were answered per minute 20 questions

the question reads: Jamie answered 16 questions in 4/5 minutes. How many questions were answered per minute?

You should number that a minute is made up of 60 seconds

This implies that 4/5 of a minute is given as 4/5 * 60

This is equal to 48 seconds

So every 48 seconds, Jamie answers 16 questions

This implies that (16*60)/48 = 20

Therefore in one minute Jamie would answer 20 questions

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Answer:

c+3d+3

Step-by-step explanation:

Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

Answer:

Find the value of sin 135.

We have to find the value of sin 135º

Solution

sin(135) can be expressed as = sin (90 + 45)

Using the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) we will expand the above sin value

= sin (90 + 45) = sin(90)cos(45) + cos(90)sin(45)

On substituting the known values we get

= ( 1 x 1/√2) + (0 x 1/√2)

= 1/√2

= 0.7071067. . .

Answer

Hence the value of sin 135º=  1/√2 or sin 135º= 0.7071067.

Step-by-step explanation:

this would be correct.

The required value of  sin 45° and sin 135º is \(\frac{\sqrt{2} }{2}\)  and \(\frac{1}{\sqrt{2} }\).

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given:

The given right triangle having it sides are 1 ,1, \(\sqrt{2}\).

According to given question we have

By the formula of trigonometry we get ,

This is a common value, in which

sin 45º=\(\frac{1}{\sqrt{2} }\)

We can now rationalize the fraction, which comes out to:

=

\(\frac{1}{\sqrt{2} } *\frac{1}{1} \\\\=\frac{1}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }\\\\=\frac{\sqrt{2} }{2}\)

The common value of sin(135) can be expressed as

= sin (90 + 45)

By using the identity

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

= sin (90 + 45) = sin(90)cos(45) + cos(90)sin(45)

On substituting the known values we get,

\(= ( 1 * \frac{1}{\sqrt{2} } ) + (0 *\frac{1}{\sqrt{2} } )\\=1/\sqrt{2.\)

Therefore, the required value of  sin 45° and sin 135º is \(\frac{\sqrt{2} }{2}\)  and \(\frac{1}{\sqrt{2} }\).

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number of tables with red table cloth: 4

total number of tables: 4 + 8 = 12

Then, the probability that the first guest to arrive will be seated at a red table cloth is 4/12 = 1/3

Answer:

X=-4 Y=4

Step-by-step explanation:

I don't fully know but I think its right

Answer:

x = 11

Step-by-step explanation:

9x + 25 = 13x - 19

add 19 to both sides

9x + 25 + 19 = 13x - 19 + 19

9x + 44 = 13x + 0

9x + 44 = 13x

subtract 9x from both sides

9x - 9x + 44 = 13x - 9x

0x + 44 = 4x

44 = 4x

divide both sides by 4

44 ÷ 4 = 4x ÷ 4

11 = 1x

11 = x

This is assuming the x variable in the first expression is the same value as the x variable in the second expression. More information is needed to solve for y (such as x = y or another expression using the same variable, y).

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

---------------------------

   2      |       120

-------------------------

   3      |        180

-------------------------

  4      |        240

-------------------------

   5     |     300

-----------------------

   6    |     360

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer: I think that this is the answer

standard form of equation for ellipse with vertical major axis (a^2 under y^2):

(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.

For given equation: x^2/9+y^2/36=1

center: (0,0)

a^2=36

a=√36=6

length of vertical major axis=2a=12

Vertices are end points of major axis=(0,0�a)=(0,0�6)=(0,-6) and (0,6)

Vertices are at (0,-6) and (0,6)

Step-by-step explanation:

Answer:

Explanation: General formula for vertical ellipse Given: x24+y29=1 ... Use the equation provided above, and "plug it" in.

Answer:

16 days

Step-by-step explanation:

1.08 $:9 days

1.92 $: x

1.08 x: 17.28

x = 16

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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Answer:

A

Step-by-step explanation:

That's your answer...

dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......

just look at the one that has the letter x going up it is c or d

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

Answer:

34

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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The time it takes for the projectile to reach its maximum height would be 0.77 s. The time it takes for the projectile to hit the ground is 2.67 s.

The horizontal range ∆x would be 20.3 m.

To determine the time it takes for the projectile to reach its maximum height, we can use the formula:

t = (vi sin(θ)) / g

where t is the time, vi is the initial velocity, θ is the angle of launch, and g is the acceleration of gravity.

In this case, the initial velocity has a horizontal component of 7.5 m/s, so we can assume that the initial velocity is 7.5 m/s and the angle of launch is 90 degrees (since the projectile is launched horizontally). Therefore, the time it takes for the projectile to reach its maximum height would be:

t = (7.5 m/s × sin(90)) / 9.8 m/s2 = 0.77 s

To determine the time it takes for the projectile to hit the ground, we can use the formula:

t = (2 ∆y) / (vi sin(θ))

where t is the time, ∆y is the maximum height, vi is the initial velocity, and θ is the angle of launch.

Since we know that the projectile rises to a maximum height of ∆y above the end of the cannon's barrel, the initial velocity has a horizontal component of 7.5 m/s and the angle of launch is 90 degrees, we can calculate the time it takes for the projectile to hit the ground as follows:

t = (2 ∆y) / (7.5 m/s x sin(90)) = (2 ∆y) / 7.5 m/s = 2.67 s

To determine the horizontal range ∆x of the shot, we can use the formula:

∆x = (vi × t) cos(θ)

where ∆x is the horizontal range, vi is the initial velocity, t is the time, and θ is the angle of launch.

In this case, we know that the initial velocity has a horizontal component of 7.5 m/s, the time it takes for the projectile to hit the ground is 2.67 s, and the angle of launch is 90 degrees.

Therefore, the horizontal range ∆x would be:

∆x = (7.5 m/s × 2.67 s) × cos(90) = 20.3 m.

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Answer:

3 times 5 = 15 and 5 times 5 = 25. 15 plus 25 = 40

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.

The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)

The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.

Let say Initial quantity demanded is:

x = -0.7(6) + 10

x = 5.8

Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:

= -0.7(6.01) + 10

= 5.793

The % change in quantity demanded will be:

= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%

= [(5.793 - 5.8) / 5.8] x 100%

= -0.12%

As price has changed from 6 to 6.01, we can calculate the percentage change as follows:

% change in price = [(new price - initial price) / initial price] x 100%

= [(6.01 - 6) / 6] x 100%

= 0.17%

Elasticity of demand = (% change in quantity demanded) / (% change in price)

= (-0.12% / 0.17%)

= -0.71

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Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

\(P(n,r)=\dfrac{n!}{(n-r)!}\)

Put n = 15 and r = 3

\(P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730\)

Hence, 2730 ways can the members of the cabinet be appointed

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)