14. m² + m - 90
Trinomial factoring

Answer:

64%

Step-by-step explanation:

Just trust me I did multiple examples to make sure

Answer:

Step-by-step explanation:

6.15/5=1.23

The answer is B.

Hey there!☺

\(Answer:\boxed{a=\frac{b-u}{k}}\)

\(Explanation:\)

\(u=b-ak\)

In our first step, we will flip the equation:

\(-ak+b=u\)

Now add -b to both sides:

\(-ak+b+-b=u+-b\\-ak=-b+u\)

In our last step, we will divide both sides by -k:

\(\frac{-ak}{-k}=\frac{-b+u}{-k}\\a=\frac{b-u}{k}\)

a=b-u/k is your answer.

Hope this helps!☺

g(1) is equal to -1. To find the inverse of f(x), we switch the x-values with the corresponding f(x)-values. When f(x) = 1, the corresponding x-values are x = -1 and x = 4. However, we choose the x-value that comes first in the original table, which is x = -1. Therefore, g(1) is equal to -1.


To find the inverse of a function, we need to switch the roles of x and f(x). In other words, we swap the x-values with the corresponding f(x)-values.

Let's look at the table for f(x):

x: -1, 1, 4, 6, 7
f(x): -3, -1, 1, 4, 6

To find g(1), we look for the x-value in f(x) that corresponds to f(x) = 1. From the table, we can see that f(x) = 1 when x = 4.

Therefore, g(1) is equal to the x-value that corresponds to f(x) = 1, which is x = 4.

However, we need to be careful because there can be multiple x-values that correspond to the same f(x)-value. In this case, f(x) = 1 has two corresponding x-values: x = -1 and x = 4.

Since g(x) represents the inverse of f(x), we choose the x-value that comes first in the original table for f(x). In this case, x = -1 comes before x = 4 in the table. Therefore, g(1) is equal to -1.

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Answer:

1/36

Step-by-step explanation:

it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}

you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...

The probability of rolling a sum of 2 with these dice is 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Pair of dice have= {1,2,2,3,3,4}

Now,

The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.

However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.

This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.

Therefore, the probability will be 1/36.

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The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Problem N 9

we have that

UW=UV+VW -----> by addition segment postulate

substitute given values

(2x-8)=(x-8)+(12)

solve for x

2x-8=x+4

2x-x=4+8

therefore

The answer is

The simplified value of the exponential expression 3³ is 27

An equation is an expression that can be used to show the relationship between numbers and variables.

Exponent simply mean raising a number to a power. It is also called power or indices. It is given as:

a² = a * a;

a³ = a * a * a

Given the expression:

3³

Applying the law of exponents:

3³ = 3 * 3 * 3 = 27

3³ is 27

The simplified value of the exponential expression 3³ is 27

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Answer:

2 is positive, so this graph has a minimum and opens upward

Step-by-step explanation:

Step-by-step explanation:

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.

1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))

a. The population is approximately normal.

b. The population standard deviation is known.

c. The sample taken is a random sample.

d. The population standard deviation is unknown. e

. The degrees of freedom is 0.01.

f. The sample size is greater than 30.

2. Which of the following statements is correct?

a) Parameters describe sample characteristics.

b) Statistics describe population characteristics.

c) We use statistics to estimate the value of parameters.

d) We use parameters to estimate the value of statistics

Expert Answer

The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.

To find the percentage of Snickers bars with a mass more than 21.5 grams,

use the concept of standard normal distribution.

Calculate the z-score for 21.5 grams.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Here

x = 21.5 grams

μ = 20.1 grams (mean)

σ = 0.7 grams (standard deviation)

z = (21.5 - 20.1) / 0.7

z = 1.4 / 0.7

z = 2

The percentage of values greater than the z-score in the standard normal distribution calculator.

The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.

Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.

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Solution:

Simplify the distributive property and solve.

The solution to the equation is 15.

Your required solution :

Let us solve this equation..!!

Firstly multiplying 2 by (x - 2)

⇒ 2 × (x - 2) = 26

⇒ 2x - 4 = 26

On transposing -4 to R.H.S. it would be positive,

⇒ 2x = 26 + 4

⇒ 2x = 30

On dividing 30 by 2 we gets,

⇒ x = 30/2

⇒ x = 15

Therefore, value of x is 15.

The following are the updates for the given ordinary differential equation using Euler's method, the implicit Euler method, and the midpoint method.

To compute the update Ax for the given ordinary differential equation using Euler's method, we first need to discretize the time domain. Let t0 be the initial time and tn = t0 + nh be the time after n steps of size h. Then, using Euler's method, we have:

xn+1 = xn + hf(xn, tn)

where f(xn, tn) = 1 - ƛxn³/6. Therefore,

Ax = xn+1 - xn = h(1 - ƛxn³/6)

Using the implicit Euler method, we have:

xn+1 = xn + hf(xn+1, tn+1)

where f(xn+1, tn+1) = 1 - ƛxn+1³/6. Solving for xn+1, we get:

xn+1 = (xn + h)/[1 + ƛh/6(xn+1)²]

which is a nonlinear equation that needs to be solved iteratively at each step. Therefore, the update Ax becomes:

Ax = xn+1 - xn

Using the midpoint method, we have:

xn+1 = xn + hf(xn+½h, tn+½h)

where f(xn+½h, tn+½h) = 1 - ƛ(xn+½h)³/6. Therefore,

xn+1 = xn + h(1 - ƛxn³/6 + 3ƛx²n h/4)

and the update Ax becomes:

Ax = xn+1 - xn = h(1 - ƛxn³/6 + 3ƛx²n h/4)

These are the updates for the given ordinary differential equation using Euler's method, the implicit Euler method, and the midpoint method.

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Given:

Principal amount = P (o

Interest = 0.6% = 0.006 (divide by 100 since it's in percentage)

The algebraic expression is:

P + 0.006P = 1.006P

ANSWER:

P + 0.006P = 1.006P

There are 7 different non-congruent right triangles with integer side lengths and a perimeter of less than 75.

We can solve this problem by generating all possible triangle side lengths and then checking if the triangle is a right triangle and if the perimeter is less than 75.

First, we start with the smallest possible triangle with sides of lengths 3, 4, and 5. This triangle is a right triangle and has a perimeter of 12, which is less than 75.

Next, we move on to the next largest triangle with sides of lengths 5, 12, and 13. This triangle is also a right triangle and has a perimeter of 30, which is less than 75.

We keep increasing the side lengths until the perimeter is greater than or equal to 75. After this point, we stop generating triangles because they will no longer be less than 75.

Through this process, we have found that there are 7 different non-congruent right triangles with integer side lengths and a perimeter of less than 75. These triangles are (3, 4, 5), (5, 12, 13), (6, 8, 10), (7, 24, 25), (8, 15, 17), (9, 12, 15), and (10, 24, 26).

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Answer:

3

Step-by-step explanation:

its 3

Answer:

3/8 cup

Step-by-step explanation:

1 cup water = 2/3 cup water * 3/2

x = 1/4 cup grape juice * 3/2

1/4 * 3/2 = 3/8

Answer:

64

Step-by-step explanation:

Answer:

A = 25x^2 + 30x + 9

Step-by-step explanation:

A = (5x+3) * (5x+3) or A = (5x+3)^2

A = 5x*5x + 5x*3 + 5x*3 + 3*3

A = 25x^2 + 15x + 15x + 9

A = 25x^2 + 30x + 9

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

64.428

Step-by-step explanation:

well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence

so if we add all of the numbers up it will give us

451

then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with

around 65 or exactly it would be

64.428

(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

Answer:

\(x=360\)

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

\(m<MON = MN\\\)

Substitute,

\(x=2\pi\)

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

\(degree=\frac{\pi}{180}radians\)

Substitute,

\(degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\\)

Simplify,

\(degree=\frac{180*(2\pi)}{\pi}\\degree=360\)

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      \(Arc \ Length = 2 \pi r (\frac{x}{360})\)

             \(2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ\)

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

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Step-by-step explanation:

I hope its help you

Finley's statement is incorrect because adding the same amount to the height and base of a triangle does not necessarily guarantee similarity between the two triangles. Similar triangles have corresponding angles that are congruent and corresponding sides that are proportional.

In this case, adding 3cm to both the height and base of the smaller triangle changes its proportions, but it does not guarantee that the resulting triangle is similar to the larger triangle. The ratios of corresponding sides in the two triangles may not be equal, which is a necessary condition for similarity.

To determine if the two triangles are similar, we need to compare the ratios of corresponding sides. Simply adding the same value to the height and base does not provide enough information to conclude similarity between the triangles.

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In the chi square, the probability that y = 6.27 is 0.975.

It should be noted that a chi-square statistic is a measure of the difference that is between the observed and expected frequencies of the outcomes of a set of events or variables.

Here, chi-square is used for analyzing the differences in categorical variables, especially those nominal in nature.

From the attached diagram, the probability that y = 6.27 is 0.975.

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For the shown figure:

Given:

We will prove:

The proof will be as follows:

Statement Reason

1. PQ ≅ RS Given

2. QR ≅ SP Given

3. PR ≅ RP Reflexive property

4. ΔPQR ≅ RSP Congruent by SSS postuelate

Answer:

90 because you have one lollipop in each bag and then your will have 15 dollars left

Step-by-step explanation: