4= 4x + rx+6
How do I solve this

Answer:

\((-1)(x+1)(x+2)\)

Step-by-step explanation:

\(-x^2-3x-2\\\)  

Factor out the (-1)

\((-1)(x^2 + 3x + 2)\)

Factor completely.

\((-1)(x+1)(x+2)\)

Answer:

11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

Step-by-step explanation:

Let x be the amount of coffee worth $9.40/kg that needs to be mixed with coffee worth $11/kg to get 12 kg of coffee worth $9.50/kg.

We can start by setting up a system of linear equations based on the information given:

Equation 1: x + y = 12 (the total amount of coffee is 12 kg)

Equation 2: (9.4x + 11y)/12 = 9.5 (the average price of the mixed coffee is $9.50/kg)

Simplifying equation 2, we get:

9.4x + 11y = 114

We can now use substitution to solve for x. Solving equation 1 for y, we get:

y = 12 - x

Substituting this into equation 2, we get:

9.4x + 11(12 - x) = 114

Simplifying and solving for x, we get:

9.4x + 132 - 11x = 114

-1.6*x = -18

x = 11.25

Therefore, 11.25 kg of coffee worth $9.40/kg must be mixed with 0.75 kg of coffee worth $11/kg to give 12 kg of coffee worth $9.50/kg.

Answer:

35

Step-by-step explanation:

i did the quiz

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

Midpoint theorem : The line joining midpoint of  any two side of a triangle is parallel to third side and is half of it.

1) AI = 10.5

MC = 2*AI = 2*10.5

MC = 21

I solved for MC using midpoint theorem.

2) MC = 32

AI = \(\frac{1}{2}*32\)

AI = 16

I solved for AI using midpoint theorem.

Answer:

AI is 16

Step-by-step explanation:

\(2^{100} = 16^{25} =32^{20} =1024^{10}\)

P/s: \(2^{100} = 2^{4.25} =16^{25}\) ......

ok done. Thank to me :>

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

37.6

Step-by-step explanation:

(8)(3.8)+13.2−6

=30.4+13.2−6

=43.6−6

=37.6

Answer:

27.6?

Step-by-step explanation:

8x3.8=30.4

30.4+3.2=33.6

33.6-6=27.6

Answer:

Step-by-step explanation:

2.4 cups

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The size of the angle marked t is 60 degrees.

We are given an isosceles triangle with one angle as 30 degrees.

We have to find the angle marked t.

Let us name the triangle.

Let the vertex formed by the intersection of two equal sides be A and,

The vertex with 30 degree angle be B and the third vertex be C.

We know that,

AB = AC

Hence,

∠ ABC = ∠ ACB = 30 degrees.

Hence, ∠ BAC =  180 - 30 - 30 = 120 degrees

We know that,

t + ∠ BAC = 180 degrees (supplementary angles)

Hence,

t + 120 = 180

t = 180 - 120

t = 60 degrees

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I think it would be pr qs I'm not entirely sure though

Answer:

30 i think please be right

Answer:

its 30

Step-by-step explanation:

Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

        630 + 300 \(\ngeqslant\) 1000

   ⇒ 930 \(\ngeqslant\) 1,000

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

        280 + 774 \(\geq\) 1000

   ⇒  1054 \(\geq\) 1000

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

        210 + 960 \(\geq\) 1000

   ⇒  1170 \(\geq\) 1000

        30 + 80 = 110 >100

D. (200,-10)

       1400 -120 \(\geq\) 1000

   ⇒ 1280 \(\geq\)1000

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

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Answer:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

to find the perimeter of a polygon you just do "a regular polygon with n n sides and the length of one side s s: P = n × s P = n × s "

Step-by-step explanation:

Answer:

the answer to this question is 19.2 meters per minute

Answer:

i don't know I don't have ideas

The equation of the parabola is (x - 1)^2 = 12(y - 3).A parabola is defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line called the directrix. In this case,

the focus is given as (1, 3), and the directrix is given as y = -3. The general equation of a parabola in standard form is (x - h)^2 = 4p(y - k), where (h, k) is the vertex of the parabola and p is the distance between the vertex and the focus (or the vertex and the directrix). Since the focus is given as (1, 3), the vertex of the parabola is also (1, 3). To find the distance between the vertex and the directrix, we can calculate the vertical distance. The directrix is given as y = -3, which means the distance from the vertex (1, 3) to the directrix is 3 units. Substituting the values into the equation, we have (x - 1)^2 = 4p(y - 3) Since p is the distance between the vertex and the focus or vertex and directrix, p = 3.(x - 1)^2 = 4 * 3 * (y - 3) Simplifying the equation further:

\((x - 1)^2 = 12(y - 3)\)

Therefore, the equation of the parabola with a focus of (1, 3) and a directrix of y = -3 is (x - 1)^2 = 12(y - 3). This equation represents a parabola that opens upwards with its vertex at (1, 3) and the focus located above the vertex.

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a) Probability model

P(40) = 1/6

P(0) = 5/36

P(-10) = 25/36

b)  E(X) = -5/18

standard deviation  = 18.331

c) standard deviation  = 91.65

d) Probability = 0.560

From the question, we have

a) X = -10, 0 or 40 for your winnings (or losses). The corresponding probabilities are:

P(40) = 1/6

P(0) = (5/6)(1/6) = 5/36

P(-10) = 1 - 1/6 - 5/36 = 25/36

b) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

E(X^2) = (100)(25/36) + 1600(1/6) = 3025 / 9

Var(X) = E(X^2) - [E(X)]^2 = 3025 / 9 - (-5/18)^2 = 108875 / 324

standard deviation = sqrt [Var X] = 119043 / 6494 =18.331

c) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

5 * E(X)  =  - 25/18

standard deviation = 5 * 18.331 = 91.65

d) Probability :

P(X < 0) = P{ z < [0 - (-5/18)] / [(119043 / 6494) / sqrt 100] } = P(z < 0.1515) = 0.560

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

Complete question:

From the Data at Hand to the World at Large 4. New game You pay $10 and roll a die. If you get a 6, you win $50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What's the probability the person running the game makes a profit?

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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The required time is mathematically given as

t-150 minutes.

This is further explained below.

We know that the volume of the prism is given by.

\(\text{Volume}=\text{(Base Area)}\times\text{height}\)

\(\text{Base Area}=\dfrac{1}{2}\times(1.4+0.6)\times2\)

\(\text{Base Area}=2\ \text{m}^2\)

Now,

\(\text{Volume}=2\times1=2\ \text{m}^3\)

Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.

Because of this, the volume increases.

\(\text{Volume}=2\times0.8=1.6\ \text{m}^3\)

Now, the rate of emptying the tank is,

\(=\dfrac{2-1.6}{30} =\dfrac{1}{75} \ \text{m}^3/ \text{min}\)

In conclusion, We also know that,

$$

\(\text{time}=\dfrac{\text{volume}}{\text{rate}}\)

\(\text{time}=\dfrac{2}{\frac{1}{75} } =150 \ \text{min}\)

Therefore, Colin must wait for the pond to drain for a total of 150 minutes.

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The distance of Miles' destination is 225 miles.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The map is a scale drawing of a larger town. The scale drawing is reduced by constant dimensions.

Actual distance = (15 x 15) / 1 = 225 miles

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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The average student complete after 12 lessons is 57.74 entries per minute.

To find s(x), we need to integrate ds/dx with respect to x:

ds/dx = 9(x + 4)^(-1/2)

Integrating both sides, we get:

s(x) = 18(x + 4)^(1/2) + C

To find the value of C, we use the initial condition that the average student can complete 36 entries per minute with no lessons (x = 0):

s(0) = 18(0 + 4)^(1/2) + C = 36

C = 36 - 18(4)^(1/2)

Therefore, s(x) = 18(x + 4)^(1/2) + 36 - 18(4)^(1/2)

To find how many entries per minute the average student can complete after 12 lessons, we simply plug in x = 12:

s(12) = 18(12 + 4)^(1/2) + 36 - 18(4)^(1/2)

s(12) ≈ 57.74 entries per minute

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The average student can complete 72 entries per minute after 12 lessons.

To find the data entry speed as a function of the number of lessons, we need to integrate the rate of change equation with respect to x.

Given: ds/dx = 9(x + 4)^(-1/2)

Integrating both sides with respect to x, we have:

∫ ds = ∫ 9(x + 4)^(-1/2) dx

Integrating the right side gives us:

s = 18(x + 4)^(1/2) + C

Since we know that when x = 0, s = 36 (no lessons), we can substitute these values into the equation to find the value of the constant C:

36 = 18(0 + 4)^(1/2) + C

36 = 18(4)^(1/2) + C

36 = 18(2) + C

36 = 36 + C

C = 0

Now we can substitute the value of C back into the equation:

s = 18(x + 4)^(1/2)

This gives us the data entry speed as a function of the number of lessons, s(x).

To find the data entry speed after 12 lessons (x = 12), we can substitute this value into the equation:

s(12) = 18(12 + 4)^(1/2)

s(12) = 18(16)^(1/2)

s(12) = 18(4)

s(12) = 72

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Answer:

x=2

y=-1

z=3

Step-by-step explanation:

X = 7+2y-z

3(7+2y-z)+y-z=2

21+6y-3z+y-z=2

21+7y-4z=2

7y-4z=-19 (subtract both side by 21)

2(7+2y-z)+3y+2z=7

14+4y-2z+3y+2z=7

14+7y=7

7y=-7 (subtract both side by 14)

y=-1 (divide both side by 7)

{7y-4z=-19

{y=-1

7.-1 - 4z=-19

-7-4z=-19

-4z=-12

Z=3

x=7+2y-z (y=-1 z=3)

x=7+2.-1 - 3

x=7-2-3

x=2

Answer:

Original price of bicycle = $864

Step-by-step explanation:

Given:

Rate of tax = 20%

Price pay by Mathew = $1,080

Find:

Original price of bicycle

Computation:

Original price of bicycle = Price pay by Mathew[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-0.2)]

Original price of bicycle = 1,080[1 / (0.8)]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = $864

Answer:

X=28/9

Step-by-step explanation:

Answer:

Second Graph.

Explanation:

It's the only graph that is concave down and the slope is decreasing.

Answer:

49=5x+14

Step-by-step explanation: