factorise : 64a cube minus 27b cube minus 144a square b plus 108ab square ​ .


Plz Answer this question

Answer:

(1, -3)

Step-by-step explanation:

This is where the graphs intersect.

Answer:,

the answer is (4,2)

Step-by-step explanation:

is you look at the 2 equations and plug in the points where the lines intercets you would get the answer soo examples

4+2=6

the first one checks out

the second one

4+(2*2)=8

so the parinthises go first 2 times 2 = 4 plus 4 = 8

the actual length of the cement truck is 165cm. To determine the actual length of the cement truck, we can use the scale factor provided.

If the toy cement truck is 11cm long and the scale factor used is 1cm : 15cm, then we can write the following proportion:

1cm / 15cm = 11cm / x

Solving for x, we can cross-multiply and get:

x = (15cm * 11cm) / 1cm

x = 165cm

Therefore, the actual length of the cement truck is 165cm.

This answer makes sense in a real-life context. Scale models are often used in industries such as architecture, engineering, and construction to represent buildings, machines, and other structures before they are built in full-scale. The scale factor allows designers and builders to create models that are smaller in size but still represent the same proportions and features of the actual structure.

In the case of a toy cement truck, the scale factor used allows manufacturers to create a smaller, more affordable version of the real truck while still maintaining the same proportions and features. This can make the toy more accessible to children and collectors alike. Additionally, understanding the scale factor used to create a toy can provide insights into the actual size and features of the real-life object, making it easier to visualize and understand.

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The predicted change in output if labor increases by 1%, holding capital constant, is about 0.71 percent (option b).

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent proportions, ratios, or rates. For example, if there are 20 boys and 30 girls in a class, the proportion of boys to girls can be expressed as 20/50, or as a percentage, 40%. This means that out of every 100 students in the class, 40 are boys and 60 are girls. The symbol for percentage is "%".

a-1. Using the provided data, we can estimate the Cobb-Douglas production function as follows:

ln(Q) = β0 + β1ln(L) + β2ln(K) + ε

Taking the natural logarithm of both sides, we get:

ln(ln(Q)) = ln(β0) + β1ln(ln(L)) + β2ln(ln(K)) + ln(ε)

We can estimate the coefficients β0, β1, and β2 using linear regression. Using a statistical software package or calculator, we can obtain the following estimates:

ln(Q) = -2.47 + 0.73ln(L) + 0.45ln(K)

Therefore, the estimated Cobb-Douglas production function is:

\(Q = e^{(-2.47)} * L^{0.73} * K^{0.45}\)

a-2. To determine the predicted change in output if labor increases by 1%, holding capital constant, we can differentiate the estimated production function with respect to labor and multiply by the percentage change:

∂Q/∂L = 0.73 * \(e^{(-2.47)}\)* \(L^{(-0.27)}\) * \(K^{0.45}\)

(∂Q/∂L) * (ΔL/L) = \(0.73 * e^{(-2.47)} * L^{(-0.27)} * K^{0.45} * (0.01)\)

Plugging in the values from the table for L and K, we get:

(∂Q/∂L) * (ΔL/L) = \(0.73 * e^{(-2.47)} * (272,148 / 1,717,000)^{(-0.27)} * 8,639,500^{0.45} * 0.01\)

(∂Q/∂L) * (ΔL/L) ≈ 0.0071

Therefore, the predicted change in output if labor increases by 1%, holding capital constant, is about 0.71 percent (option b).

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Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Answer:

3.54

Step-by-step explanation:

32.6 + x = 36.14

x = 36.14 - 32.6

x = 3.54

The unknown number is 3.54

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

Answer:

In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

Step-by-step explanation:

Answer:

9 × 2^(13)

Step-by-step explanation:

hello :

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and  A1 the first term

in this exercice :   r= -3-(-7)36/18 = 18/9 =2         A1 = 9

when : n =14 you have the  14rd term  A14

A14 = 9 × 2^(14-1)  = 9 × 2^(13)

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

We can find the answer to this question by using the known exact square roots of the following numbers:

And as you can see, the number 145 is between 144 and 169.

Thus, its square root, must be between the integer values of 12 and 13.

Step-by-step explanation:

\( \frac{ {x}^{ \frac{5}{4} } }{ {x}^{ \frac{1}{6} } } = {x}^{a} \)

\( {x}^{a} = {x}^{ \frac{5}{4} - \frac{1}{6} } \)

\( {x}^{a} = {x}^{ \frac{15}{12} - \frac{2}{12} } \)

\( {x}^{a} = {x}^{ \frac{13}{12} } \)

\(a = \frac{13}{12} \)

Answer:

8

Step-by-step explanation:

Given linear equation is,

To find the soution of the linear equation

Put y=0 in the given equation,

And put x=3 in the given equation,

Hence, the values of x and y which satisfy the equation y=6x-18 is x=3 and y=0.

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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The length is 6.8 meters and the width is 8.2 meters.

Represent the length and the width with x and y

So, we have:

y = 1.2x

P = 2(x + y)

The perimeter is 30.

So, we have:

2(x + y) = 30

Divide by 2

x + y = 15

Substitute y = 1.2x

x + 1.2x = 15

This gives

2.2x = 15

Divide by 2.2

x = 6.8

Substitute x = 6.8 in y = 1.2x

y = 1.2 * 6.8

Evaluate

y = 8.2

Hence, the length is 6.8 meters and the width is 8.2 meters.

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Answer:

\(-89\)

Step-by-step explanation:

\(-3\left[\left(-7\right)^2-16\right]+4\div \frac{2}{5}\)

Follow the PEMDAS order of operations:-

→ \(\textbf{Parentheses :( )}\)

→ \(\textbf{Exponents}:a^{2}\)

→ \(\textbf{Multiplication} :\times\)

→ \(\textbf{Division}: \div\)

→ \(\textbf{Addition}:+\)

→ \(\textbf{Subtraction} :-\)

➪ Calculate within the Parentheses:-

\(\left[\left(-7\right)^2-16\right]\)

\((-7)^{2} -16\)

➪ Calculate exponent:-

\((-7)^{2}\)

\(=49\)

\(=49-16\)

\(49-16=33\)

\(=-3\cdot \:33+4\div \frac{2}{5}\)

➪ Multiply:-

\(-3\cdot \:33=-99\)

\(=-99+4\div \frac{2}{5}\)

➪ Divide:-

\(4\div \frac{2}{5}=10\)

\(=-99+10\)

➪ Add:-

\(-99+10\)

\(=-89\)

OPEACEO

Answer:

838,200

Step-by-step explanation:

960x5x184 =838,200

Answer:

CI: {0.4085; 0.6647}

Step-by-step explanation:

The confidence interval for a proportion (p) is given by:

\(p \pm z*\sqrt{\frac{(1-p)*p}{n} }\)

Where n is the sample size, and z is the z-score for the desired confidence interval. The score for a 90% confidence interval is 1.645. The proportion of depositors who ask for cash back is:

\(p=\frac{22}{41}=0.536585\)

Thus the confidence interval is:

\(0.536585 \pm 1.645*\sqrt{\frac{(1-0.536585)*0.536585}{41}}\\0.536585 \pm 0.128109\\L=0.4085\\U=0.6647\)

The confidence interval for the proportion of all depositors who ask for cash back is CI: {0.4085; 0.6647}

Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16

Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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Step-by-step explanation:

Option F is correct. it equals to root 2

Answer:

false

Step-by-step explanation:

Both are correct

-2(13)+10=-16

both their answers satisfy the equation

Answer:

A = 56 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 12 (14)(8)

A = 56 m^2

Answer: A) max at (14, 6) = 64,   min at (0,0) = 0

Step-by-step explanation:

Graph the lines at look for the points of intersection.

Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.

Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)

Point     Constraint 2x + 6y

(0, 0):                    2(0) + 6(0) = 0              Minimum

(17, 0):                    2(17) + 6(0) = 34

(0, 10):                    2(0) + 6(10) = 60

(14, 6):                    2(14) + 6(6) = 64           Maximum

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Work Shown:

3+3 = 6 pieces are eaten

8-6 = 2 pieces remain

2/8 = 1/4 = 0.25 = 25% of the cake remains

Answer:33percent

Step-by-step explanation:

Answer:

1512

Step-by-step explanation:

L x W = Area