Find values for a and b so that 2(3x+5)+ax=5(4x−b) is an identity equation.

As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.

a. If h=1, then (the change in x^2)/h = 16/1 = 16

b. If h=0.1, then (the change in x^2)/h= 16/0.1 = 160

c. If h=0.01, then (the change in x^2)/h= 16/0.01 = 1600

d. If h=0.001, then (the change in x^2)/h= 16/0.001 = 16000

The change in x^2 refers to the difference in the value of x^2 when x is increased from 4 to 4+h. In other words, it is the difference between (4+h)^2 and 4^2. The change in x^2 is 16h, since (4+h)^2 = 16h + 4^2. To find (the change in x^2)/h, we simply divide 16h by h, which gives us 16. So, for each of the values of h given, when x is increased from 4 to 4+h, (the change in x^2)/h is 16. As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.

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Answer:

-2

Step-by-step explanation:

slope = m = rise/run = (y2-x2)/(y1-x1)

So to figure out the slope you first need two points from the line. I randomly chose points (-10,10) and (5,-20) because they are easier numbers to work with, in my opinion. 5 minus -10 is 15. -20 minus 10 is -30. Multiply the variables by delta to have slope. y=mx+b. Delta is a symbol used in mathematics to represent change in quantity. It is usually represented with a trangle figure, and connects to an integer or variable.

Answer:

A. There are four terms.

C. The term \(\frac{30}{y}\) is a ratio.

Step-by-step explanation:

The expression given is the sum of four components: a third order monomial (\(4\cdot x^{3}\)), a second order monomial (\(-7\cdot x^{2}\)), a zero order monomial (\(15\)) and a ratio (\(\frac{30}{y}\)). There are a sum and two differences. Hence, the correct answers are:

A. There are four terms.

C. The term \(\frac{30}{y}\) is a ratio.

Answer:

there are 4 terms

the term 30/y is a ratio

Step-by-step explanation:

got it right on my quiz

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ \(\sf{x^2 \: + \: y^2 \: = \: 4}\)

⇢  \(\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}\)

⇢  \(\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}\)

⇢  \(\sf{x^2 \: + \: -y^2 \: + \: 4}\)

⇢  \(\sf{Step \: 2: \: Take \: square \: root.}\)

⇢  \(\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}\)

P.S here's the graph that might help you!

Let's solve of x ~

⇢  \(\sf{x^2 \: + \: y^2 \: = \: 32}\)

⇢  \(\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}\)

⇢  \(\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}\)

⇢  \(\sf{x^2 \: + \: -y^2 \: + \: 32}\)

⇢  \(\sf{Step \: 2: \: Take \: square \: root.}\)

⇢  \(\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}\)

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

\(\underline{Answer :}\)

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Answer:

2.5 ft/s

Step-by-step explanation:

\(\dfrac{dx}{dt}=\text{Speed of person}=3\ \text{ft/s}\)

As the triangles are similar we have

\(\dfrac{y}{6}=\dfrac{20}{12}\\\Rightarrow y=6\times\dfrac{5}{3}=10\)

Again from the similar triangles we get

\(\dfrac{y}{6}=\dfrac{20}{20-x}\\\Rightarrow (20-x)y=120\\\Rightarrow x=20-\dfrac{120}{y}\)

Differentiating with respect to time we get

\(\dfrac{dx}{dt}=\dfrac{120}{y^2}\dfrac{dy}{dt}\\\Rightarrow 3=\dfrac{120}{10^2}\dfrac{dy}{dt}\\\Rightarrow \dfrac{dy}{dt}=\dfrac{3}{1.2}\\\Rightarrow \dfrac{dy}{dt}=2.5\ \text{ft/s}\)

The rate of change of the length of the shadow on the wall is 2.5 ft/s.

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

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Answer:D

Step-by-step explanation:

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

The value of x is 9.

According to the segment addition postulate, the sum of the lengths of two segments is equal to the length of the entire segment.

In this case, GH + HI = GI.

GH = 4x - 6

HI = 2x + 2

GI = 50

Using the segment addition postulate, we can write the equation:

GH + HI = GI

Substituting the given values:

4x - 6 + 2x + 2 = 50

Combining like terms:

6x - 4 = 50

Adding 4 to both sides:

6x = 54

Dividing both sides by 6:

x = 9

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Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

Answer:

Option A - There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%

Step-by-step explanation:

The police officers claim is that the proportion of people wearing seat belts is less than 65%.

Now, we are told that the p - value is 0.277.

In hypothesis, for a significance value of 0.05, if the P value is less than 0.05, we reject the null hypothesis and if P value is greater than or equal to 0.05, we fail to reject the null hypothesis.

Now, since the significance level is 5% = 0.05,we can see that the P-value is greater than the significance value of 0.05. Thus, we fail to reject the police claim that the proportion of people wearing seat belts is less than 65%.

So the correct option is A.

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:

36

Step-by-step explanation:

Answer: 21

Step-by-step explanation: The amount the gold bar weighs is extra information and is meant to throw you off, 526/24 is 21.9 but because you can’t have a decimal amount of gold bars it’s just 21 in each pot.

Answer:

60.48

Step-by-step explanation:

Answer:51.52

Step-by-step explanation:

Answer: An array is a collection of items of same data type stored at contiguous memory locations.

Step-by-step explanation: There you go dude happy to help

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Answer:x=−y−1

Step-by-step explanation:Let's solve for x.

−y=x+1

Step 1: Flip the equation.

x+1=−y

Step 2: Add -1 to both sides.

x+1+−1=−y+−1

x=−y−1

Answer:

x=−y−1

Answer:

b. 2/3

Explanation:

Given the fraction:

We can write each of the numbers as a product below:

Next, cancel the common number, 9:

The simplified form of the fraction is 2/3.

Option B is correct.

Point N is the image of M .

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given : P is a point on the perpendicular bisector, l, of MN.

To prove : PM = PN

A Reflection is a transformation in which the figure is the mirror image of the other. Every point is a mirror reflection of itself .

By the definition of reflection, point P is the image of itself ,point N is the image of M .

The line l acts as a Line of symmetry  or axis of reflection.

Reflections preserve length so PM = PN.

Thus , point N is the image of M .

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Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

7.21 × 10⁻⁷

Step-by-step explanation:

(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-3/4(x-2)

y+6=-3/4(x-2)

Answer:

\(A=b(b+\frac{5}{2} )\)

Step-by-step explanation:

hey there!!!

we know already that the area of a triangle is given as

\(A=\frac{1}{2}b *h\)

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

\(A=\frac{1}{2}b * (2b+5)\)

\(A= \frac{2b^2}{2} +\frac{5b}{2}\)

\(A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )\)

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

12 bracelets

Step-by-step explanation:

Find the greatest common factor of 24 and 36 to be 12