In the following diagram MATH is a rectangle with an inscribed circle. The circle has a diameter of 8 centimeters and the rectangle has a height of 12 centimeters

The maximum possible value for 'h' = 6 for the given set of system of inequalities.

For the given set of inequalities;

y ≤ 1/2x - 5

y ≥ 3x - 20

Equation both equation;

(1/2)x - 5 = 3x - 20

x - 10 = 6x - 40

Further simplifying;

-5x = -30

x = 6

Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.

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Using a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

For the cost function, we have that:

Hence the function is:

C(x) = 29 + 1.41x.

The recommended monthly bill for a household is between $54 and $82 dollars per month, hence the inequality is given by:

54 ≤ C(x) ≤ 82.

The bounds of the range will be found as follows:

29 + 1.41x = 54

x = (54 - 29)/1.41

x = 17.7.

29 + 1.41x = 82

x = (82 - 29)/1.41

x = 37.6.

Hence the correct option is:

To stay within the range, the usage should be between 17.7 and 37.6 HCF.

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Answer:

589

Step-by-step explanation:

to find the area of a rectangle it is length x width

19 is your length

31 is your width

19 x 31 = 589

be sure that in your final answer you put in your units (e.g.[tex]cm^{2}[/tex] )

hoped this helped xx

Answer: 23 x 10,000

Step-by-step explanation:

23 multiplying with 10,000

you will get 230,000

Answer:

23 * 10000 or 23 * [tex]10^{4}[/tex]

Step-by-step explanation:

23 * 10000 or 23 * [tex]10^{4}[/tex]

Answer:

What's the question?

Step-by-step explanation:

well, we can say that the function will be y = (50% of "x") - 8.

wait a minute! what's the 50% of "x" anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}[/tex]

The proof of the given algebra equation is; x = -40

We are given the algebra equation as;

(8 - 3x)/4 = 32

Using multiplication property of equality, multiply both sides by 4to get;

8 - 3x = 128

Using subtraction property of equality, subtract 8 from both sides to get;

-3x = 120

Using division property of equality, divide both sides by -3 to get;

x = -40

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The value of x = 2.

Three points of collinear are A, B, and C. Here point B is between A and C.

The properties of collinear point are,

a>The slope of AB is equal to the slope of BC,

b>Line AB + BC = AC

c>The area is equal to 0.

As the three points are collinear, and from the second property we have

AB + BC= AC

Where, AB = 4x + 3

            BC = 3x + 2

So we have,

(4x + 3) + (3x + 2) =19

7x + 5=19

7x = 14

x=2

Therefore we get the value of x =2.

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We get the length of AB as 7.37 pi units

We are given that:

AB || CD

AD = 36 cm

AD is the diameter of the circle.

So, we get that

1 / 2 AD = Radius (r)

r = 36 / 2 cm = 18 cm

Now, we are also given that:

∠ BAD = 50°

Since  AD  is a diameter, we get that:

ABD will form a right triangle with ∠ ABD  = 90°

∠ ADB   = 40° ( Angle sum property)

AB will be:

sin (40)  = AB  / 36

AB  = 36 * sin (40) = 23.140353948732  

AB ≈ 7.37 pi units

Therefore, we get the length of AB as 7.37 pi units

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Answer:

C. 5n+7

You're buying 5 shirts, so that'll be 5n and there's a 7 dollar tax which means we add on the 7 dollar tax. So it's C. 5n+7

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]

Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]

which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.

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Answer:

There isnt any info about the question there isnt any numbers

Step-by-step explanation:

Answer:

Letting r be the rate of speed in hours, we have d = rh.

Answer: 102

Step-by-step explanation:

[tex]x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102[/tex]

Answer:

5

Step-by-step explanation:

we just have to see the units to determine the terms

the terms are, a², ab, b, b², 1 has no terms, but imagine it as [tex]x^{0}[/tex]

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15/56 is the probability that one marble is red and two are blue.

RBB, BRB, and BBR are the three possible ways to draw two blue marbles and one red marble. These are separate scenarios because there are no overlapping outcomes, and their sum is the overall likelihood that two of the three drawn cards will be blue. Therefore, the desired probability is

(10/16)(6/15)(5/14) + (6/16)(10/15)(5/14) + (6/16)(5/15)(10/14) = 15/56

Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

For instance, when we flip a coin, there are just two possible results: Head OR Tail (H, T). But if we throw two coins into the air, there are three possible outcomes: either both show heads, either show tails, or one shows heads and one tails, i.e. (H, H), (H, T), or none of the three (T, T).

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Answer:

Hi, here are the remaining values in order.

Answer:

G(x)=-9 when x=5

Step-by-step explanation:

Replace X with 5

3x -x^2+1 becomes 3*5-5^2+1

Then solve

15-25+1=-9

Answer:

The value of x is 7°

Step-by-step explanation:

<A C D = ∠ A D B ( 6 x − 4 ) ° +∠ B D C ( 4 x +24 )

Now,

<A D B + < B D C = 90 °

( Being sum of complementary angle is 90°)

( 6 x − 4 ) + (4x + 24)= 90°

6x-4+4x+24=90°

6x+4x-4+24=90°

10x+20=90°

10x=90-20

10x=70

x=70/10

x=7

Answer:

8.

Step-by-step explanation:

Using Order of operations PEMDAS.

Arithmetic operations are done in the following order:

Parentheses, Exponents, Multiply, Divide, Add, Subtract.

So, we have:

-18 - 7(-10 + 8) + 12

= -18 - 7 * -2 + 12

= -18 + 14 + 12

= -4 + 12

= 8.

Answer: Coordinate (1,-3) and m = 3/4

Step-by-step explanation:

(i) - So context, the equation is y + 3 = 3/4(x - 1)

She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

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Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The firm assigned a total of 8 lawyers to the case, hence:

x + y = 8

x = 8 - y.

The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:

500x + 1000y = 6500.

Since x = 8 - y, we have that:

500(8 - y) + 1000y = 6500.

500y = 2500

y = 5.

x = 8 - 5 = 3.

The firm assigned 3 associates and 5 partners to the case.

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The correct answer is false.

A rational number also includes the sum of two rational numbers.

a/b-c/d=ad-bc/bd

Since a/b and c/d are integers, and we know that a, b, c, and d are all rational numbers. Since ad and bc are both integers under our rule, it follows that ad - bc is also an integer. As a result, our rule states that ad, bc, and bd are all integers. As a result, we know that ad - bc and bd are integers and that the difference between two rational numbers is a number of the type a/b-c/d=ad-bc/bd is the precise definition of a rational number, where ad - bc and bd are integers. Thus, we may conclude that a rational number is the difference between two rational numbers.

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In function  , 12 is the value of)f(6).

What does a math function mean?

f(1) = 2 and f(n) = f(n -1) + 2

f(1) = 2

f(2) = f(2 - 1) + 2 = f(1) + 2 = 2 + 2 = 4

f(3) = f(3 - 1) + 2 = f(2) + 2 = 4 + 2 = 6

f(4) = f(4 - 1) + 2 = f(3) + 2 = 6 + 2 = 8

f(5) = f(5 - 1) + 2 = f(4) + 2 = 8 + 2 = 10

f(6) = f(6 - 1) + 2 = f(5) + 2 = 10 + 2 = 12

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It should be noted that angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

Also, the correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

70x = 140

x = 140/70

x = 2

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.

m∠1=(30x−30)∘, m∠5=(40x+70)∘

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 30°

Same-Side Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Same-Side Int. ∠s Thm.

m∠1 = 150°, m∠5 = 30°

As per question, let us assume [tex]t(j)[/tex] denotes the time that it took Tejay van garteren to ride the [tex]jth[/tex] stage of the tour de France in [tex]2014[/tex].

Now, let us assume [tex]t(1)[/tex] is the complete time for the first stage;  [tex]t(2)[/tex] is the complete time for the second stage;  [tex]t(3)[/tex] is the complete time for the third stage and so on.

Therefore, the total time of [tex]21[/tex] stages can be written as:

                     ∑[tex]t(j)[/tex]= [tex]t(1)+t(2)+t(3)+..................+t(21)[/tex]  [tex]; j=[1,2,3....21][/tex]

The above expression represents the total time for Tejay van garteren took to finish the ride.

Therefore,  ∑[tex]t(j)[/tex] [tex]; j=[1,2,3....21][/tex] is the total time for Tejay van garteren took to finish the ride.

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Answer: x = -1, 15

Step-by-step explanation:

15 = x²- 14x

⇒ x²- 14x-15 = 0

⇒  x²- 15x+x-15 = 0

⇒ x (x-15) + (x-15) = 0

⇒ (x-15) (x+1) = 0

Now,

x= -1, 15

Answer:

1.) q less than a number m times 7 is equal to 23

2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4

3.) 6 more than a number k times 9 is equal to 54

4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared

5.) a number g times 3 is equal to 45

(I might be wrong, so try to read the equations out loud to see if you agree)