Marcus saw the factorization shown below in his textbook, but part of the factorization was covered by a drop of ink. What expression was covered by the drop of ink?

​-24x^5-16x^3=-8x^3(?+2)

Answer:

40%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

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Answer:

Transitive property of equality

Step-by-step explanation:

Step-by-step explanation:

given,

tan thita =8/9

or,tan thita=p/b

now, h=

\( \sqrt{p {}^{2} + b {}^{2} } \)

\( = \sqrt{8 {}^{2} + 9 {}^{2} } \)

\( = \sqrt{145} \)

therefore, h=

\( \sqrt{145} \)

now, cos thita =b/h

so, cos thita =

\(9 \div \sqrt{145} \)

\( = 9 \sqrt{145} \div \sqrt{145} \)

......ans........

hope its helpful

Answer:

9. 5×5×5= 125

10.2×2×2×2=16

11. 8×8= 64

12. 4×4×4×4=256

13. 6×6×6= 216

14. 1×1×1×1×1×1= 1

Answer:

magnify a dilated figure back to its original size from center with scale factor .Ask students to (1) describe how they would plan to dilate a circle and (2) This time the scale factor is greater than one, so we need to shrink triangle

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

Each sales associate working under Golf Realty could potentially face charges related to practicing real estate without a valid license. If Golf Realty allowed their real estate brokerage license to lapse.

Real estate licensing is a legal requirement for individuals involved in real estate transactions, including sales associates. If Golf Realty allowed their real estate brokerage license to lapse and the sales associates continued to practice real estate without a valid license, they could be charged with unauthorized practice of real estate or a similar offense.

The specific charges and legal consequences may vary depending on the jurisdiction and applicable laws. In many jurisdictions, practicing real estate without a license is considered a serious offense as it undermines consumer protection and regulatory requirements. Penalties for unauthorized practice may include fines, license suspension or revocation, and potential civil liability for any harm caused to clients or parties involved in the transactions.

It is important for individuals working in the real estate industry to ensure that they maintain valid licenses and comply with all relevant regulations to avoid potential legal issues. If the sales associates were unaware of the lapsed license and can demonstrate good faith in their actions, it may be taken into consideration during any legal proceedings.

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Answer:

V = 65.9 cubic millimeters

Step-by-step explanation:

The Volume of a Right Circular Cone

Given a right circular cone of radius r and height h, its volume is calculated as follows:

\(\displaystyle V=\frac{1}{3}\pi r^2h\)

The cone shown in the image has a radius of r=3 mm and a height of h=7 mm, thus the volume is:

\(\displaystyle V=\frac{1}{3}\pi\cdot 3^2\cdot 7\)

Taking pi as 3.14:

\(\displaystyle V=\frac{1}{3}3.14\cdot 3^2\cdot 7\)

Calculating:

V = 65.9 cubic millimeters

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

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The number of days spent or taken by assistant with work efficiency of 2 units per day to do the work alone is equals to the 7.5 days.

We have provide that there is a carpenter and his assistant can do a piece of work.

Number of days taken by both carpenter and his assistant to do a piece of work = 3 days.

Number of days taken by carpenter and to do the same piece of work alone = 5 days.

We have to determine number of taken by assistant and to do the same piece of work alone.

Let the required number of days that the assistant take to do the work alone be 'x days'. As we know, total available work units = LCM (3,5) = 15 units

Ability or efficiency of a person or man is calculated by dividing the total work units to the number of working days spent to do the work.

Now, Ability or efficiency of both carpenter and his assistant work together = 15/5

= 3 units/day

Similarly, Ability or efficiency of carpenter = 15/3

= 5 units/day

So, Ability or efficiency of assistant= 5 - 3 = 2 -(1)

Using efficiency formula, efficiency of assistant

= 15/x --(2)

from (1) and(2), 15/x = 2

=> 2x = 15

=> x = 7.5

Hence, required number of days are 7.5 days.

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Answer:

-1.5 y 3

Step-by-step explanation:

enjoy enjoy hopefully it's right

Answer:

Slope = -3/2

y-intercept = 3

Step-by-step explanation:

Select any two points.

(x₁ , y₁) = (0, 3)   & (x₂ , y₂) = (2 , 0)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(\frac{0-3}{2-0}\\\\=\frac{-3}{2}\)

y - y₁ = m(x -x₁)

y - 3 = \(\frac{-3}{2}(x - 0)\)

y - 3 = \(\frac{-3}{2}x\)

     \(y = \frac{-3}{2}x + 3\)

Compare with y = mx + c

Slope = -3/2

y-intercept = 3

The type of insurance which pays personal expenses due to an accident that was the fault of the other driver who did not have sufficient insurance is:

This refers to the coverage or protection which a person has for an unexpected event and pays periodic fee called premium.

With this in mind, if a motorist is involved in an accident, and the accident was the fault of the other driver who is not well insured, then uninsured motorist insurance covers the bill.

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Answer:

1432.57cm²

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

country A won medal  = 87

country B won medal  = 18

country C won medal  = 26

A system of equations, or equation system, is a collection of finite equations for which common solutions are sought. A set of simultaneous equations may also be referred to as an equation system.

While using the System of equation:

we can say that:

country A won medal  = X

country B won medal  = Y

country C won medal  = Z

Total number of medals have  = 123

so we can say that

X + Y + Z = 123

Country B won 8 more medals than Country C.

So Y = Z + 8

Country A won 34 more medals than the total amount won by the other two.

X - (Y + Z) = 34

From the equation

(Y + Z)  = 123 - X

Putting the value (Y + Z)

X - (123 - X) = 34

2X - 123 = 34

2X = 157

X = 157/2

X = 78.5

Finding the value of Z.

when X = 78.5, Y = Z + 8

X + Y + Z = 123

78.5 + (Z + 8) = 123

86.5 + 2Z = 123

Z  = 36.5/2

Z = 18

Finding the value of Y

Y = Z + 8

  = 18 + 8

  =  26

So,

country A won medal  = 87

country B won medal  = 18

country C won medal  = 26

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If Kelly's last quiz scores were 79, 89, 86, and 93, then her next score needs to be at least 94 to obtain an average that is more than 88.

To find Kelly's next score to obtain an average that is more than 88, follow these steps:

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The Fundamental Theorem of Calculus states that if a function f is continuous on the closed interval [a,b] and F is the antiderivative of f on [a,b], then the definite integral of f from a to b is equal to F(b) - F(a).

For the first question, we can use the Fundamental Theorem of Calculus and the Chain Rule to find the derivative:

ddx∫x−1(3t5−t)30dt = (3x5-x)/30

For the second question, we can use Part 2 of the Fundamental Theorem of Calculus:

d/da ∫a^3 (7t^2 + 6) dt = 7a^6 + 6a^3

Then, we can use the Chain Rule to find the derivative of the function with respect to t:

d/dt (7a^6 + 6a^3) = 42a^5(da/dt) + 18a^2(da/dt)

Since the problem gives us da/dt = 20, we can substitute to find:

d/dt (7a^6 + 6a^3) = 8400a^5 + 3600a^2

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Answer:

x+ 4x-85 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

x+ 4x-85 = 90

Combine like terms

5x - 85 = 90

Add 85 to each side

5x = 175

Divide by 5

5x/5 =175/5

x =35

Answer:

x (4-85)  =  -81x

Step-by-step explanation:

Equation: x (4-85)

Answer: x (4-85)

1: Find the missing side

2: add the other numbers

Hope this helps.

Using the four-step process,  f'(1) = 10, f'(2) = 12, and f'(3) = 14.

To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:

1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.

2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).

3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.

4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

The statement that is true about qualitative analysis is: there are no universally adopted rules for analyzing qualitative data.

Qualitative analysis is a research method that involves analyzing non-numerical data, such as text, images, or audio, to identify patterns and themes. One key characteristic of qualitative analysis is that it is often undertaken concurrently with data collection, rather than after all the data has been gathered. This allows researchers to adjust their approach and ask follow-up questions based on emerging findings. Unlike quantitative analysis, there are no universally adopted rules for analyzing qualitative data, and methods may vary depending on the researcher's perspective and goals.

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Here's why:

A correlation is a measurement used in experimental settings to link two or more things together without using it to prove a scenario. For instance, researchers can use a correlation to show a relationship between eating hot dogs and cancer. Or, researchers can use correlations to show that staying up late is linked to worsened mood and/or worsened attention span.

There are POSITIVE correlations and NEGATIVE correlations. Your dependent variable is placed on the y-axis, or the one going upwards. The independent variable is placed on the x-axis, or the "horizon" of the graph.

Returning to the hot dogs and cancer example, we can actually confirm that it is a positive correlation. This can be proven by simply plotting this data on a scatterplot. A scatterplot is the placing of data points based on the independent and dependent variables on the graph and then placing a line of average reference so you can see the strength of the graph. For example, if someone ate 84 hot dogs in a month and their chance of getting cancer increased by 33%, we would place a dot at 84 on the y-axis and at 33 on the x-axis (assuming scales of zero to two hundred).

So, hot dogs would be the independent variable and the contractions of cancer would be the dependent variable because it is dependent on the consumption of hot dogs.

A negative correlation would mean that the line MUST go downwards on the graph. Therefore, it has a negative slope.

Now, let's look at the table values. If we plotted the first table through the Desmos Graphing Calculator, we would see that the first table does NOT graph a downwards set of points (You can view my reference attachment below titled "Table 1.").

Table 2 goes downwards for the most part and only has one point where it goes upwards and then immediately goes downwards  (You can view my reference attachment below titled "Table 2.").

Finally, Table 3 is basically a zig-zag and goes downwards, then upwards, and then downwards again (You can view my reference attachment below titled "Table 3.").

Therefore, it should be proven that Table 2/Table B is the table that shows negative correlation.

Answer:

It's B.

Step-by-step explanation:

The vector field f(x, y, z) is not a conservative vector field.

A vector field is said to be conservative if it can be expressed as the gradient of a scalar function called a potential function. In other words, if f = ∇φ, where φ is a scalar function, then the vector field f is conservative.

To determine whether the given vector field f(x, y, z) = y²i + (2xye²)j + e²yk is conservative, we need to check if its curl is zero. If the curl of a vector field is zero, then the vector field is conservative.

Taking the curl of f, we have:

curl(f) = (∂f₃/∂y - ∂f₂/∂z)i + (∂f₁/∂z - ∂f₃/∂x)j + (∂f₂/∂x - ∂f₁/∂y)k

Substituting the components of f, we get:

curl(f) = (0 - 2xe²)i + (0 - 0)j + (2xe² - y²)k

Since the curl of f is not zero (it has non-zero components), we conclude that the vector field f is not conservative.

Therefore, the given vector field f(x, y, z) = y²i + (2xye²)j + e²yk is not a conservative vector field.

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The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

y = 1.87sin(-0.29 x 1  + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

y = 1.87sin(-0.29 x 2  + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

y = 1.87sin(-0.29 x 4  + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

y = 1.87sin(-0.29 x 7  + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

y = 1.87sin(-0.29 x 9  + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

y = 1.87sin(-0.29 x 10  + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

y = 1.87sin(-0.29 x 13  + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

y = 1.87sin(-0.29 x 17  + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

y = 1.87sin(-0.29 x 20  + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

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Step 1: Simplify both sides of the equation.

3+3y=1−13y−9

3+3y=1+−13y+−9

3y+3=(−13y)+(1+−9)(Combine Like Terms)

3y+3=−13y+−8

3y+3=−13y−8

Step 2: Add 13y to both sides.

3y+3+13y=−13y−8+13y

16y+3=−8

Step 3: Subtract 3 from both sides.

16y+3−3=−8−3

16y=−11

Step 4: Divide both sides by 16.

16y

16=−11/16

y=−11/16

Answer:

y=−11/16

Answer:

 \(no\)

Step-by-step explanation:

Lets solve the first half.

\(-4 ( x - 6) = -4x + 24\)

Second one:

\(-4 times x - 4 times 6 = -4x -24\)

Now compare.....Not the same right??

So your answer is:  \(no\)

Hope this helps :)

To find the missing side of an acute triangle, use the Pythagorean Theorem to calculate the length of the side

To find the missing side of an acute triangle, first identify the two known sides. Then use the Pythagorean Theorem to calculate the length of the third side. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse (the longest side). In other words, a^2 + b^2 = c^2, where a and b are the two shorter sides and c is the hypotenuse. Substitute the two known side lengths for a and b, and solve for c, the length of the missing side.

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