Factoring quadratics 15x^2-14x+3

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

Answer:

m∠EON = 48°

m∠ONP = 48°

m∠PSE = 90°

Answer:

-12

Step-by-step explanation:

When you say it will drop which means it will get less in this case since -2 is a negative we need to add 10 which will make it -12. Hope this helps and makes it clear for you

Answer:

-16

Step-by-step explanation:

\(h\left(x\right)=\frac{1}{2}x-14\\h\left(-4\right)=-4/2-14=-2-14=-16\)

Answer:

k=8

Step-by-step explanation:

8(10-k)-2k=0

80-8k-2k=0

80-10k=0

-10k=-80

-80/-10

k=8

Answer:

The answer to this problem is k=8

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

The properties of the parallelograms are solved

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as A

Now ,

a) The figure with 2 pairs of parallel sides = Square , Rectangle , Parallelogram , Rhombus

b) The figure with 1 pair of parallel sides = Trapezium

c) The figure with no right angles = Rhombus

d) The figure with 4 right angles = Square , Rectangle

e) The figure with all sides equal = Square , Rhombus

f) The figure with opposite sides equal = Square , Rectangle , Parallelogram , Rhombus

e) The figure with opposite angles equal = Square , Rectangle , Parallelogram , Rhombus

Hence , the properties of the parallelogram are solved

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The largest component probability that can be achieved for the system is approximately 0.9428.

The cost of a system component is given by the equation C = 10\(P^2\), where C is the cost in dollars and P is the probability that the component will operate as expected. In this case, there are three identical components in the system, and the engineer has a budget of $252 to spend on these components.

To find the largest component probability that can be achieved, we need to determine the maximum value of P while staying within the budget. We can set up the equation:

3C = 252

Substituting C with the given equation, we get:

3(10\(P^2\)) = 252

Simplifying the equation, we have:

30\(P^2\) = 252

Dividing both sides of the equation by 30:

\(P^2\) = 8.4

Taking the square root of both sides:

P ≈ \(\sqrt{8.4}\)

P ≈ 2.8978

Since we are dealing with probabilities, the component probability cannot be negative, so we consider only the positive value. Therefore, the largest component probability that can be achieved is approximately 0.9428, rounded to 4 decimal places.

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Answer:

m1 = 5

m2 = -3

Step-by-step explanation:

\(\frac{3m + 15}{ {m}^{2} } = \frac{m + 1}{m} \)

Use the property of the proportion (cross-multiply):

\( {m}^{2} (m + 1) = m(3m + 15)\)

\( {m}^{3} + {m}^{2} = 3 {m}^{2} + 15m\)

\(3 {m}^{2} + 15m - {m}^{2} - {m}^{3} = 0\)

\( - {m}^{3} + 2 {m}^{2} + 15m = 0\)

\(m( - {m}^{2} + 2m + 15) = 0\)

\(m = 0 \: \: \: or \: \: \: - {m}^{2} + 2m + 15 = 0\)

Let's solve this quadratic equation:

\( { - m}^{2} + 2m + 15 = 0\)

a = -1, b = 2, c = 15

\(d = {b}^{2} - 4ac = 4 - 4 \times ( - 1) \times 15 = 4 + 60 = 64 > 0\)

\(m1 = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 2 - 8}{2 \times ( - 1)} = \frac{ - 10}{ - 2} = 5\)

\(m2 = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 2 + 8}{2 \times ( - 1)} = \frac{6}{ - 2} = - 3\)

The Solution:

Given:

18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.

Required:

To test the claim that the mean rainfall from seeded clouds exceeds 25 ace-feet.

Step 1:

Find the mean.

Step 2:

Find the standard deviation.

Step 3:

Hypothesis:

From the Z score tables,

Since the p-value is greater than 0.05, we fail to reject the null hypothesis.

Therefore, there is no fact to support the claim that the mean rainfall exceeds 25 acre-feet.

To calculate the amount Astrid should withdraw from her college fund of $30000, we need to determine the number of payments (n) for equal withdrawals over four years.

The formula to calculate the number of payments (n) can be derived using the formula for calculating the present value of an annuity.

In this case, the present value (PV) is the college fund amount of $30000, the payment (P) is the equal withdrawal amount, and the interest rate (r) is the annual nominal interest rate divided by the number of compounding periods per year.

By rearranging the formula and solving for n, we can find the desired result.

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For the scientific method , the true statement about the hypothesis is  (b) research studies are designed to prove a hypothesis.

The term Hypothesis is defined as the observation which is proposed as the possible outcome or results of an experiment .

we know that ; in order to prove a hypothesis, the experiments are designed and after that they are performed based on given hypothesis.

That is how the experiments are designed based on a previous idea which may result in a particular outcome.

So , any hypothesis is dependent on a specific experiment( research studies) .

Therefore , the correct option is (b) .

The given question is incomplete , the complete question is

In the scientific method, which of the following is true about a hypothesis?

(a) the same hypothesis may not be tested more than once.

(b) research studies are designed to prove a hypothesis.

(c) a specific hypothesis is generated based on an established theory.

(d) a hypothesis both explains and predicts a phenomenon.

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Answer:

I only know how to do the LCM but thats it sorry

Step-by-step explanation:

I got this from the internet sorry if it dosen't help

LCM(84,90) = 1260

Answer:

HCF = 2 * 3

LCM = 2 *2 * 3 * 3 * 5 * 7

Step-by-step explanation:

A) 84 = 2 * 2  * 3 * 7

   90 =  2 * 3 * 3 * 5

HCF = 2 * 3

B) 84 = 2 * 2 * 3 *7

   90 = 2 * 3 * 3 * 5

LCM = 2 *2 * 3 * 3 * 5 * 7

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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I just answered something very similar to this haha, but the sum of all exterior angles, regardless of the polygon's sides is always equal to 360 degrees, so our sum is 360°

Complete question :

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 dollars, in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400 dollars. Let F(d) denote the fee of a trip F (measured in dollars) as a function of the vertical distance climbed d (measured in meters). Write the function's formula.

Answer:

F(d) = $100 + $0.1d

Step-by-step explanation:

Given the following :

Total Cost of mountain climbing :

Initial fee + constant fee per vertical meter climbed

Initial fee = $100

Total cost of climbing the Shira volcanic cone = $400

Height of Shira volcanic cone = 3000 m

The fee of a trip ; F(d) ; where d = distance

Let constant fee per vertical meter = p

F(d) = $100 + 3000 * p

$400 = $100 + 3000p

$400 - $100 = 3000p

$300 = 3000p

p = 300/3000

p = $0.10

Hence, the fee for a trip:

F(d) = $100 + $0.1d

Answer:

y=100+0.1x

Step-by-step explanation:

khan academy

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%

Answer:

x = -47/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = - 47/3

Can't be reduced because 47 is prime

Answer:

x=  -47/3

Step-by-step explanation:

So the information we already have is

7 = 3x + 9 * 6

9 * 6 = 54

now it is

7 = 3x + 54

The equation can also be

3x + 54=7

First subtract 54 from both sides

3x + 54 - 54= 7 - 54

3x= -47

Then divide both sides by 3

3x/3= -47/3

x= -47/3

Answer: A

Step-by-step explanation: Hope this help :D

a. The population is the U.S. adult population. b. The sample is a subset of the population consisting of 1200 randomly selected adults.  c. The statistic is the percentage of the sample reporting an allergy, which is 33.2%. d. The parameter is the percentage of the entire population with an allergy, which is 36%.

The population in this scenario refers to the entire U.S. adult population. It represents the entire group of individuals being studied or considered.

The sample is the subset of the population that was selected for the study. In this case, the sample consists of 1200 randomly selected adults.

The statistic is a numerical value that describes a characteristic of the sample. In this case, the statistic is the percentage of the sample that reported having an allergy, which is 33.2%.

The parameter is a numerical value that describes a characteristic of the population. In this case, the parameter is the percentage of the entire U.S. adult population that has an allergy, which is 36%.

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Answer:

(a) 3x + 4 = 2x + 1

3x - 2x = 1 - 4

x = -3

Step-by-step explanation:

To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).

Answer: 1. 48 2. Times 2

Step-by-step explanation: 3 times 2 to the power of 4 is 48. Furthermore you can see the y axis values keep increasing times 2.

The lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361. This method of dividing the interval into subintervals and using the left endpoint as the sample point is known as the left Riemann sum.

To find the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6, we need to divide the interval into six equal subintervals of length Δx=π/12. Then, we choose the left endpoint of each subinterval as our sample point and calculate the sum of the areas of the six rectangles formed. Thus, the lower sum is given by:

L = Δx [f(0) + f(π/12) + f(π/6) + f(π/4) + f(5π/12) + f(π/3)]

Substituting the values of the function, we get:

L = (π/12) [0 + 0.2588 + 0.5 + 0.7071 + 0.8660 + 0.9659]

L = 0.4361

Therefore, the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361.

To find the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6, we divide the interval into six equal subintervals of length Δx=π/12. Then, we choose the left endpoint of each subinterval as our sample point and calculate the sum of the areas of the six rectangles formed. By substituting the values of the function, we get the lower sum as 0.4361.

The lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361. This method of dividing the interval into subintervals and using the left endpoint as the sample point is known as the left Riemann sum. This technique is useful for approximating the area under a curve and can be extended to find the upper sum and the definite integral.

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Answer:

It would be 2.62

Step-by-step explanation:

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

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

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

In this problem, we have the graph of a function, and we must determine the domain, range and the values of the functions for different values of x.

(1) Domain

The domain of a function is the complete set of possible values of the independent variable (x, usually).

Looking at the graph, we see that the independent variable x takes all the values of the real line, from -∞ to +∞. So the domain of the function is:

(2) Range

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually) after we have substituted the domain.

Looking at the graph, we see that the dependent variable y takes all the values:

So the range of the function is:

(3) Looking at the graph, we find the following values of the function:

• (a), For x = 2 we have f(2) = 0,

• (b), For x = 1 we have f(1) = 1,

• (c), For x = 3 we have f(3) = 3,

• (d) For x = -1 we have f(-1) = 3.

Domain = (-∞, ∞)

Range = (-3, ∞)

(a) f(2) = 0

(b) f(1) = 1

(c) f(3) = 3

(d) f(-1) = 3