Anyone wanna help me with this‍‍

Answer:   \(\frac{3}{4}\)c

Step-by-step explanation:

       If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):

               3/4c

- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.

- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.

The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:

\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)

Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

What I think the area is 210

Step-by-step explanation:

Multiply the lengths. Hope this helps

Answer:

Infinite, any number

Step-by-step explanation:

Simplify

30 - 3x = 30 - 3x

Answer:

D A picture of his mother, Caroline.

Step-by-step explanation:

The derivative of f(x) + g(x) is cosx+2cos2x

Derivative : In mathematical calculus, the derivative is the rate of change of a function at a instant point.

Derivative of a function is denoted by dy/dx, where derivative of y is happening with respect to x.

We have to add f(x) and g(x), then differentiate the whole addition with respect to x.

Given that, f(x) = sin(x) & g(x) = sin(2x)

So, f(x) + g(x) = sin(x) + sin(2x)

Now, differentiating with respect to x we get,

(f(x)+g(x))' = d/dx(sinx) + d/dx(sin 2x)

               = cosx+2cos2x

Derivative of  f(x) + g(x) = cosx+2cos2x

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The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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The balance A for $1900 invested at a rate of 8% for 8 years and compounded n times per year is approximately

$3,538.62, when compounded annually.

$3,601.77 when compounded semi-annually

$3,663.13 when compounded quarterly

$3,710.58 when compounded monthly

$3,748.26 when compounded daily

$3,754.04 when compounded continuously.

We have,

The balance A for $1900 was invested at a rate of 8% for 8 years and compounded n times per year.

A = P(1 + r/n)^(n*t)

where P is the principal amount ($1900 in this case), r is the annual interest rate (8%), t is the number of years (8), and n is the number of times compounded per year.

When compounded annually (n = 1):

A = $1900(1 + 0.08/1)^(1*8) = $1900(1.08)^8 ≈ $3,538.62

When compounded semi-annually (n = 2):

A = $1900(1 + 0.08/2)^(2*8) = $1900(1.04)^16 ≈ $3,601.77

When compounded quarterly (n = 4):

A = $1900(1 + 0.08/4)^(4*8) = $1900(1.02)^32 ≈ $3,663.13

When compounded monthly (n = 12):

A = $1900(1 + 0.08/12)^(12*8) = $1900(1.00666667)^96 ≈ $3,710.58

When compounded daily (n = 365):

A = $1900(1 + 0.08/365)^(365*8) = $1900(1.00021918)^2920 ≈ $3,748.26

When compounded continuously:

A = Pe^(rt) = $1900e^(0.08*8) ≈ $3,754.04

Now,

n     1                2             4           12                365        continuous

A    $3,538.6    $3,601.77  $3,663.13   $3,710.55     $3,748.26   $3,754.04

Therefore,

The balance A for $1900 invested at a rate of 8% for 8 years and compounded n times per year is approximately $3,538.62.

When compounded annually, $3,601.77 when compounded semi-annually, $3,663.13 when compounded quarterly, $3,710.58 when compounded monthly, $3,748.26 when compounded daily, and $3,754.04 when compounded continuously.

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Answer:

43.6*10⁴

Step-by-step explanation:

4.9 * 10⁵ = 49*10⁴

then:

4.9*10⁵ - 5.9*10⁴ = 49*10⁴ - 5.9*10⁴ = (49-5.4)*10⁴ = 43.6*10⁴

Answer:

4.32 × 10^5

Step-by-step explanation:

First, multiply 4.9 by 10^5=490000 and 5.8 by 10^4=58000. Subtract 58000 from 490000=432000. Then, scientific notation is a number between 1 and 10 being multiplied by a power of ten, so get 432000 down to a number between 1 and 10, which is 4.32 and 4.32 multiplied by 10^5 is 432000.

(hope this helps :P)

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

\((x+5)^2+(y-3)^2=18\)

Step-by-step explanation:

The standard form of a circle is \((x-h)^{2} +(y-k)^2=r^2\) were r is the radius and (h,k) is the center. We know the center is (-5,3) and the radius is the distance between (-5,3) and (-2,6) which is 3\(\sqrt{2}\). Simply substitute h = -5, k = 3, and r = 3\(\sqrt{2}\) into the equation to get:

\((x+5)^2+(y-3)^2=18\)

Hope this helps :)

Answer:

x = 12

y = 12

Step-by-step explanation:

Each triangle is a right angle triangle

5² + x² = 13²

x² = 169 - 25

x = √144

x = 12

The shape is a parallelogram

Therefore

x = y

y = 12

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

Therefore, each square has a side length of 1.5 cm. The perimeter of each square is 6 cm.

Perimeter is the distance around the outside of a two-dimensional shape, such as a polygon or a circle. It is the sum of the lengths of all the sides of the shape.

Here,

To calculate the perimeter of the rectangle, we need to first convert the side lengths to the same units. 1 cm 5 mm is equal to 1.5 cm, so the rectangle has dimensions 3 cm by 1.5 cm.

The perimeter of the rectangle is then:

P = 2(3 cm) + 2(1.5 cm)

= 9 cm

To divide the rectangle into two equal squares, we need to find the side length of each square.

The area of the rectangle is:

A = (3 cm)(1.5 cm)

= 4.5 cm²

Since the two squares are equal, each square has area:

A/2 = 2.25 cm²

The side length of each square can be found by taking the square root of the area:

s = √(2.25 cm²)

= 1.5 cm

The perimeter of each square is:

P = 4s

= 6 cm

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Answer:

250

Step-by-step explanation:

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Answer:

(2,13)

Step-by-step explanation:

Answer:

Last Option : D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Blank #1 \(\frac{8}{5}\)

Blank #2 \((0,log(2)-1\)

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Group A and group B

Step 02:

Statistics:

We must analyze the data to find the solution.

Group A:

1 4 6 8 10

mean:

median:

median = 6

Group B:

4 5 6 11 12

mean:

median:

median = 6

The answer is:

The mean of Group B is larger than Group A, and the median is the same.

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

Step-by-step explanation:

The given equation is :

2x+7y=11

We need to tell the point (-5,3) lies on the graph of the above equation of not.

Put x = -5 and y = 3 in the LHS of the above equation.

LHS = 2x+7y

= 2(-5)+7(3)

= -10 +21

= 11

It means, when we put  x = -5 and y = 3 in the above equation, we get 11. Hence, (-5,3) lies on the graph of the equation.