The fractions 3/4,6/8 ,9/12 , and 12/16 are examples of _____.

Answer: 0.3063 * 10^-1

Step-by-step explanation: hope this helps!

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer: Answer is D, if I'm not mistaking

Step-by-step explanation:

sorry if im wrong.

please type properly your spelling was wrong

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

Cross multiply

1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

Approximately, = 29.2

Step-by-step explanation:

Answer:

im sorry

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

slope: (y1-y2)/(x1-x2)

(11-(-1))/(5-(-5))= 12/10 = 6/5

Answer:

3.93

Step-by-step explanation:

the circle is 3.14 area plus the bottom .79 area = 3.93

Answer:

18

Step-by-step explanation:

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

Answer:

22

Step-by-step explanation:

Answer:

x=    -2         -3

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

pls heart and give brainliest much appreciated

Answer: 5(3-13x)

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

\(f(n) = \frac35 5^n\)

Step-by-step explanation:

Let's assume the solution is of the form \(f(n) = \alpha k^n\), where \(\alpha\) is to be determined on the starting condition, and \(k \in \mathbb{R} \ne 0\)

\(f(n+1) -5f(n) = 0\\\alpha k^{n+1} -5 \alpha k^n=0\\\alpha k^n (k-5) = 0 \rightarrow k= 5\)

at this point we can use our starting condition to determine the value of \(\alpha\):

\(f(1)=3 \rightarrow \alpha 5^1 =3 \rightarrow \alpha =\frac 35\)

Our solution is, thus \(f(n) = \frac35 5^n\)

Substract 18 1/2 from 60 to determine the length of remaining rope.

So length of remaining rope is 41.5 inches.

Answer:

6

Step-by-step explanation:

5% of 120 is 6.

Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.  

If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.

Answer:

Your answer is K= 60

I hope it's helps you

Answer: 3/20

Step-by-step explanation:

p(A)=the day selected in Monday =1/5

p(B)=student is absent

P(A∩B)=it is Monday AND a student is absent =3/100

Events A and B are independent so

P(A∩B) = P(A) · P(B)

3/100=1/5*p(B)

p(B)=3/20

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear

Answer:

780

Step-by-step explanation:

15*52=780

The complete expansion of the expression would give; 60x^3 -  11x^2 - 74x + 24

To expand an expression means that we should be able to obtain the original long expression that was factorized in order to get it. In this case, the expression that we have is  (3x+4)(5x-2)(4x-3). We would now have to carry out the expansion in stages.

1)  (3x+4)(5x-2)

15x^2 - 6x + 20x - 8

2) We can now carry out the next step in the expansion as we multiply the bracket with the last term in the expression;

15x^2 - 6x + 20x - 8(4x-3)

60x^3 - 45x^2 - 24x^2 + 18x + 80x^2 - 60x -32x + 24

We can now collect the like terms;

60x^3 -  45x^2 - 24x^2 + 80x^2 + 18x - 60x - 32x + 24

60x^3 -  11x^2 - 74x + 24

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Answer:

Step-by-step explanation:

The probability of asking for the cherries flambe and dying, P(A) = 0.5 × 0.6 = 0.3

The probability of asking for the chocolate mousse and dying, P(A) = 0.4 × 0.9 = 0.36

The probability of skipping dessert altogether = 0.1 × 0 = 0

The probability that the rich uncle dies, P(D) is

P(D) = 0.3 + 0.36 + 0 = 0.66

To determine the prime suspect, we would apply the concept of conditional probability. It is the probability of an event, A occurring given that event B has occurred. We would compare probabilities of the events A and B occurring given that event D also occurred

Therefore,

P(A|D) = 0.3/0.66 = 0.45

P(B|D) = 0.36/0.66 = 0.55

Therefore, the prime suspect is Margo because his probability is higher

Answer:

y =6x + 8

y =6(-3) +8

y= -18 + 8

y= -10

He can buy less οr equal tο 14 shirts with the mοney left and The inequality that represents this situatiοn is s (stands fοr shirts) ≤ 14.

In Mathematics, it is the relatiοnship between twο values that are nοt equal. Inequality means twο values that are nοt equal. When the situatiοn is  tο cοmpare the values, '≤' οr '≥' sign are used.

Hey team can spend nο mοre than $300 οn shirts the team has already spent $80.

300- 80 = 220

220/ 15 = 14.6

Let us say s be the number οf shirts.

Then the inequality will be s≤14

As the numbers οf shirts cant be a fractiοnal term sο we cοnvert the fractiοnal term tο the integer οne.

Hence, the inequality that represents the situatiοn is s≤14.

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