what is the change between 4 and -3

Answer:

Solving \(7-3(4-2x)-10x\) we get \(-4x-5\)

Step-by-step explanation:

Jon solved:

7-3(4-2x)-10x

4(4-2x)-10x

16-8x-10x

16-18x

Error in John Work

The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.

Madison Solved:

7-3(4-2x)-10x

7-3(2x)-10x

7-6x-10x

7-16x

Error in Madison Work

The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them

Selina Solved:

7-3(4-2x)-10x

7-12-2x-10x

-7-12x

Error in Selina Work

The error in Selina work is that she wrongly multiplied -3 with -2x

-3(-2x) we get 6x but Selina found it to be -2x which is wrong.

My solution:

Now, we will solve the equation correctly

\(7-3(4-2x)-10x\)

First, multiply -3 with terms inside the bracket

\(7-12+6x-10x\)

Now, combine like terms

\(7-12+6x-10x\\-5-4x\)

or we can write -4x-5

So, solving \(7-3(4-2x)-10x\) we get \(-4x-5\)

Answer:

  2.75

Step-by-step explanation:

A graph shows the left function intersects the right function between x=2 and x=3, eliminating choice D.

A table shows the difference between the left function and the right function is closest to zero for x=2.75.

The mean of the set of data is 65.

Given the following data set:

34, 48, 52, 61, 76, 76, 61, 84, 61, 39, 83, 61, 79, 81, 56, and 88

Recall:

Let's solve for the mean:

Thus:

Therefore, the mean of the data set given is 65.

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Answer:

Grace

Step-by-step explanation:

48 is the LCM, 4 is the GCF

Answer:

A

Step-by-step explanation:

Because its the right answer

The composition of the alloy in weight percent is approximately 1.69% copper (Cu) and 98.31% platinum (Pt).

To find the composition of an alloy in weight percent, you need to determine the relative atomic weights of the elements involved and then use the given atomic percentages (at%) to calculate their weight percentages. In this case, we have 5 at% copper (Cu) and 95 at% platinum (Pt).

1. Find the atomic weights:
- Copper (Cu): 63.55 g/mol
- Platinum (Pt): 195.08 g/mol

2. Calculate the total mass of the alloy:
(5 at% Cu × 63.55 g/mol) + (95 at% Pt × 195.08 g/mol) = 317.75 + 18531.6 = 18849.35 g/mol

3. Calculate the weight percent of each element:
- Copper: (317.75 g/mol ÷ 18849.35 g/mol) × 100% = 1.69%
- Platinum: (18531.6 g/mol ÷ 18849.35 g/mol) × 100% = 98.31%

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Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems:

(1) Right angle      (2) Acute angle        (3)  Obtuse angle         (4)Straight angle              (5)Reflex angle

(6) Complementary angles          (7)Complementary angles

In geometry, special angles refer to specific angles that have special properties or characteristics. These angles include right angles, acute angles, and obtuse angles. A right angle is an angle that measures exactly 90 degrees, while an acute angle is an angle that measures less than 90 degrees. An obtuse angle, on the other hand, measures more than 90 degrees but less than 180 degrees. These angles are important in geometry as they form the foundation for many geometric shapes and concepts. Understanding the properties and characteristics of these special angles is crucial for solving geometry problems and constructing geometric figures accurately.

Special angles in geometry are specific angle measures that have unique properties and are often encountered in geometric problems. These angles include:

1. Right angle: A right angle is an angle that measures exactly 90 degrees. It is formed when two lines intersect perpendicularly.

2. Acute angle: An acute angle is an angle that measures between 0 and 90 degrees. It is smaller than a right angle.

3. Obtuse angle: An obtuse angle is an angle that measures between 90 and 180 degrees. It is larger than a right angle.

4. Straight angle: A straight angle is an angle that measures exactly 180 degrees. It is formed when two lines intersect in a straight line.

5. Reflex angle: A reflex angle is an angle that measures between 180 and 360 degrees. It is larger than a straight angle.

6. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees.

7. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees.

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The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.

This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.

By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.

On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.

This method may not provide the same level of control in selecting participants based on specific characteristics.

While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.

It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.

Therefore, option A is incorrect.

Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.

Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.

Thus, the correct answer is option C.

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A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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Answer:

What is the probability of a sample mean?

The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step

Answer:

GCF: 4

(that's the only one i know, sorry!)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

20: 1, 2, 4, 5, 10, 20

28: 1, 2, 4, 7, 14, 28

The GCF is 4 because that is the highest number that can divide both 20 and 28 evenly.

Answer:

7 hrs

Step-by-step explanation:

formula :- speed=distance/time

speed= 96kph

distance= 672 km

time=?

S=D/T

96=672/T

(cross multiply)

96T = 672

T = 672/96

T = 7 hrs

It takes 7 hours to travel a distance of 672 km at a speed of 96 kph.

Time = Distance/speed

Time = 672 / 96

Time = 7

It takes 7 hours to travel a distance of 672 km at a speed of 96 kph.

The values of x and y that make RAPT a parallelogram are;

x = 15 and y = 25

Angle T and angle P are supplementary angles by parallel lines. Thus they sum up to 180 degrees and we have;

3x + 10 + 8x + 5 = 180

11x + 15 = 180

11x = 165

x = 15

T = 55°

P = 125°

Likewise R and T are supplementary angles by parallel lines and so we have;

55 + 5y = 180

5y = 180 -55

5y = 125

y = 25

R = 125°

A must be 55° since the angles add up to 360°.

R + A + P + T =

125 + 55 + 125 + 55 = 360°

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Answer:

\(2\frac{1}{3}\), \(\sqrt{7}\), \(\sqrt[3]{27}\)

Step-by-step explanation:

If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. \(\sqrt[3]{27}\) is equivalent to 3, and \(\sqrt{7}\) is less than \(\sqrt{9}\) - which is 3 - so you know that \(\sqrt[3]{27}\) is going to be the greatest number out of the set. Since \(\sqrt{7}\) is approximately equal to 2.65, and \(2\frac{1}{3}\) is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be \(2\frac{1}{3}\), \(\sqrt{7}\), \(\sqrt[3]{27}\).

If it is ABC going into DEF it would be -3 because it is 9 turning into 3 which is 1/3 of the size

To find the quotient and remainder when dividing 8x^4 - 5x^3 + 7x + 9 by 8x^2 + 3x + 2, we can perform long division. Here's the step-by-step process:

                ___________________________________

8x^2 + 3x + 2 | 8x^4 - 5x^3 + 0x^2 + 7x + 9

1. Divide the leading term of the dividend by the leading term of the divisor:

  (8x^4) / (8x^2) = x^2

2. Multiply the divisor by the result obtained in step 1 and subtract it from the dividend:

  x^2 * (8x^2 + 3x + 2) = 8x^4 + 3x^3 + 2x^2

  (8x^4 - 5x^3 + 0x^2 + 7x + 9) - (8x^4 + 3x^3 + 2x^2) = -8x^3 - 2x^2 + 7x + 9

3. Repeat steps 1 and 2 with the new polynomial obtained in step 2:

  (-8x^3) / (8x^2) = -x

  -x * (8x^2 + 3x + 2) = -8x^3 - 3x^2 - 2x

  (-8x^3 - 2x^2 + 7x + 9) - (-8x^3 - 3x^2 - 2x) = x^2 + 9x + 9

4. Repeat steps 1 and 2 with the new polynomial obtained in step 3:

  (x^2) / (8x^2) = 1/8

  (1/8) * (8x^2 + 3x + 2) = x^2 + (3/8)x + (1/4)

  (x^2 + 9x + 9) - (x^2 + (3/8)x + (1/4)) = (5/8)x + (35/4)

The final result is:

Quotient: x^2 - x + (1/8)

Remainder: (5/8)x + (35/4)

To check our work, we can verify that (Quotient) * (Divisor) + Remainder = Dividend:

(x^2 - x + 1/8)(8x^2 + 3x + 2) + (5/8)x + 35/4

Expanding and simplifying the expression should yield the original dividend, 8x^4 - 5x^3 + 7x + 9.

Note: Due to the formatting limitations of the text-based platform, the expressions may not appear with proper mathematical notation. Please ensure to interpret the expressions correctly.

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Answer:

The slope is just 2/3 and the y intercept is (0,3)

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer: yesterdays price was $700

Step-by-step explanation:

$497 = 71% of the RP (100 - 29)

RP*0.71 = 497

RP = 497/0.71

RP = $700

Answer:

d and b

Step-by-step explanation:

Answer:

Sophia is correct choose D

Step-by-step explanation:

it was correct for me

Answer:

25. Yes, it is a function, because none of the x outputs are repeating

Step-by-step explanation:

Hey there!

25). Ans;

It is a function. [ many to one function].

26).Ans; Put all values of "x" in (2x^2+7).

a. f(x) = -2

\( f( - 2)= 2 \times { (- 2)}^{2} + 7\)

So, f(-2)= 15

b. f(x)= -1.

\(f( - 1) = 2 \times ( { - 1)}^{2} + 7\)

So, f(-1)= 9

c. f(x)= 0

\(f(0) = 2 \times ( {0)}^{2} + 7\)

So, f(0)= 7

d. f(x)= 1

\(f(1) = 2 \times {(1)}^{2} + 7\)

So, f(1)= 9

e. f(x)= 2

\(f(2) = 2 \times {(2)}^{2} + 7\)

So, f(2)= 15

f. f(x)= 3.

\(f(3) = 2 \times {(3)}^{2} + 7\)

So, f(3)= 25.

Hope it helps...

Answer:

distance

Step-by-step explanation:

Answer:

it answer b i think

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

A= a^2 = 7^2 =49

Answer:

Step-by-step explanation:

hfhgfvbbkgb 56789+7567t+2345

y-mx+b

y=-3/2x+4

m- -3/2

b-4

y=-3/2x+4

The slope of the line in simplest form is: 1.

The slope (m) of a line is calculated as:

Slope (m) = rise/run = change in y / change in x.

The horizontal distance across the line is the run, while the vertical distance is the rise.

The blue line shows the rise of the line = 2 units

The red line shows the run of the line = 2 units

Slope (m) = rise/run = 2 units/2 units

Slope (m) = 1

Therefore, the slope of the line in simplest form is: 1.

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