Patrick makes chocolate chip cookies. The recipe calls for 134 cups of flour. If Patrick triples the recipe, how much flour will he need?

See attachment for math work and answer.

Answer:

128 cm²

Step-by-step explanation:

given the scale factor of sides = 3 , then

ratio of surface area = 3² = 9

then the surface area of the smaller pyramid is

1152 cm² ÷ 9 = 128 cm²

Answer:

\(\huge \boxed{{2x(3x-1)}}\)

Step-by-step explanation:

\((6x^2)-(2x)\)

Apply rule : \(-(a)=-a\)

\(6x^2-2x\)

The expression cannot be simplified further.

Factor out 2x from the expression.

\(2x(3x-1)\)

Answer:

\((6x {}^{2}) - (2x)\)

\(6x {}^{2} { - 2x}\)

Solution

\(6x {}^{2} - 2x \)

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

Answer:

• A rectangle is a geometrical shape with 4 sides, where each two opposite sides are identical.

• Each side of a rectangle is perpendicular to each other.

• When a rectangle is stretched or made slant in either clockwise or anticlockwise, it forms a geometric shape known as a parallelogram.

→ Perimeter of a rectangle:

\({ \rm{perimeter = 2(length + width) }} \\ \)

→ Area of a rectangle

\({ \rm{area = length \times width}} \\ \)

Answer:

First option

Step-by-step explanation:

\(\sqrt[3]{125x^{10}y^{13}}+\sqrt[3]{27x^{10}y^{13}}\\\\\sqrt[3]{125x^{10}y^{13}} = 5x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\\sqrt[3]{27x^{10}y^{13}} = 3x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\=5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\mathrm{Add\:similar\:elements:}\:\\5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\=8x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\\\)

The results of the requested operations are as follows g ◦ f(x) = -(x^3), (g ◦ f)^(-1)(x) = ∛(-x), g^(-1)(x) = -x. and f^(-1)(x) = ∛x

Let's break down the given functions and perform the requested operations:

Function f(x) = x^3: This function takes an input x and returns the cube of x.

Function g(x) = -x: This function takes an input x and returns the negation of x.

Now, let's compute the requested operations:

a) g ◦ f (composition of g and f):

To find g ◦ f, we substitute the output of f into g. Applying f(x) = x^3 to g(x), we have g(f(x)) = g(x^3) = -(x^3). Therefore, g ◦ f(x) = -(x^3).

b) (g ◦ f)^(-1) (inverse of g ◦ f):

To find the inverse of g ◦ f, we need to find the function that "undoes" the effect of g ◦ f. Since g ◦ f(x) = -(x^3), the inverse function would be the cube root function, denoted as (g ◦ f)^(-1)(x) = ∛(−x).

c) g^(-1) (inverse of g):

To find the inverse of g, we need to find the function that "undoes" the effect of g(x) = -x. In this case, the inverse function would be the negation of x, g^(-1)(x) = -x.

d) f^(-1) (inverse of f):

To find the inverse of f, we need to find the function that "undoes" the effect of f(x) = x^3. The inverse function of f(x) = x^3 would be the cube root function, f^(-1)(x) = ∛x.

Therefore, the results of the requested operations are as follows:

g ◦ f(x) = -(x^3)

(g ◦ f)^(-1)(x) = ∛(-x)

g^(-1)(x) = -x

f^(-1)(x) = ∛x

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Answer:

1.6

Step-by-step explanation:

Answer:

11 unites

Step-by-step explanation:

a. the inverse function of f(x) is f^(-1)(x) = x/(8x - 3). b. the function is continuous and one-to-one, the range is the set of all real numbers.

A. The domain is {x | x ≥ 1/8}. D. The range is the set of all real numbers.

(a) To find the inverse of the function f(x) = 3x/(8x-1), we can swap the roles of x and y and solve for y.

Let y = f(x):

y = 3x/(8x-1)

Now, swap x and y:

x = 3y/(8y-1)

Next, solve for y:

8xy - x = 3y

8xy - 3y = x

y(8x - 3) = x

y = x/(8x - 3)

Therefore, the inverse function of f(x) is f^(-1)(x) = x/(8x - 3).

To check the answer, we can verify that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x.

Let's substitute f^(-1)(x) into f(x):

f(f^(-1)(x)) = f(x/(8x - 3))

= 3(x/(8x - 3))/(8(x/(8x - 3)) - 1)

= 3x/(8x - 3)/(8x/(8x - 3) - 1)

= 3x/(8x - 3)/(8x/(8x - 3) - (8x - 3)/(8x - 3))

= 3x/(8x - 3)/(8x - 8x + 3)/(8x - 3)

= 3x/(8x - 3)/3/(8x - 3)

= x

Similarly, substituting f(x) into f^(-1)(x), we would also get x. Hence, the inverse function is correct.

(b) Domain and Range of f:

To find the domain of f, we need to identify the values of x that make the denominator (8x-1) non-zero. So, the domain of f is {x | x ≠ 1/8}.

The range of f represents all possible values of y that the function can take. As x varies, the function f(x) also varies. Since the function is continuous and one-to-one, the range is the set of all real numbers.

A. The domain is {x | x ≥ 1/8}.

D. The range is the set of all real numbers.

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

I think 9 but dont quote me on it

Answer:

2

Step-by-step explanation:

in khan academy i put 9 because thats what the last person said here but it was wrong and the correct answer was 2 so its 2 for sure.

Answer:

D: He greatly values the traditional beliefs of the Pueblo people.

Step-by-step explanation:

E2022. Comment below if you have any questions or comments.

Answer:

d

Step-by-step explanation:

edge 22

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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Answer:

After 7 weeks from now you will have ​$185 in your bank​ account.

Step-by-step explanation:

We are given that you have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks.

The equation is given by;

b = 70 + (10 + 7)w

Now, in the question, it is given that you have ​$185 in your bank​ account, that means;

$185 = $70 + $17w

Finding the value of w(weeks);

$17w = $185 - $70

$17w = $115

w = \(\frac{\$115}{\$17}\)

w = 6.76 weeks or 7 weeks (approx).

Hence, after 7 weeks from now you will have ​$185 in your bank​ account.

Answer:

After 1.5 seconds, the rocket will have reached a height of 90 centimeters.

Step-by-step explanation:

You know  that for Jivesh's Model A rocket, he uses the equation:

h = −40*t² + 120*t

You want to know at what time the height of the model A rocket is 90 centimeters, that is, at what time t the height of the rocket h has a value of 90. Substituting this value in the equation you obtain:

90= −40*t² + 120*t

A quadratic equation has the general form:

a*x² + b*x +c= 0

where a, b and c are known values ​​and a cannot be 0.

Taking the equation for Jivesh's model A rocket to that form, you get:

-40*t² +120*t - 90= 0

The roots of a quadratic equation are the values ​​of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:

\(\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}\)

In this case, solving the equation is calculating the values ​​of t, that is, you find the moment when the rocket will have reached a height of 90 centimeters.

Being a= -40, b=120 and c= -90, then

\(\frac{-120+-\sqrt{120^{2}-4*(-40)*(-90) } }{2*(-40)}\)

\(\frac{-120+-\sqrt{14,400-14,400} }{2*(-40)}\)

\(\frac{-120+-\sqrt{0} }{2*(-40)}\)

\(\frac{-120+-0 }{2*(-40)}\)

\(\frac{-120 }{2*(-40)}=\frac{-120}{-80} =1.5\)

This means that after 1.5 seconds, the rocket will have reached a height of 90 centimeters.

The expression when expressed in its exponent is a²+c²

In mathematics, we should understand that exponent tell the power to which a number is raise.

 It shows the number of times a number multiplies itself to get the certain member.

The given expression is a*a*c*.

Using the law of multiplication that says when two or more numbers in the same base are multiplied, we add their powers.

Here a appeared twice a*a=a²

And c appeared twice that is c*c=c²

Combining the two exponents together we have that

a²+c²

In conclusion, the exponent of a*a*a*a is a²+c²

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Answer:

Natalie has zero apples left because she gave 27 away

Step-by-step explanation:

hope it helps

Answer: ok so what is your question bro

Step-by-step explanation:

7.62 X 10 to the -6th power goes to the third one

7.62 X 10 to the 5th power goes to the second

and 7.62 X to the -4th power goes to the fourth

and i think you have the first one right!

i really hoped this helped you

The parent factors are the colours white or gray

Below is an image to represent the Tree diagram

It shows that for a white shirt Marcus can buy either a white medium and white large sizes

It also shows that for a gray shirt Marcus can also buy a gray medium and a gray large shirt

With this information, we can conclude that the possible answer to the question is the last OPTION D

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

Answer:

2/3

Step-by-step explanation:

     [] Since is the line is going up from bottom-left to top-right, we know it will be positive

     [] Because this graph has distinctive coordinate-points, we can use rise over run

     () The other method is to use the change in y divided by the change in x

We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

The height of the building is 20 meters

Step-by-step explanation:

The Pythagoras Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.

\(c^{2}=a^{2}+b^{2}\)

Where c is the hypotenuse , a is perpendicular length , b is base

Length of the shadow of a building b = 15 m.

The distance from the top of the building to the tip of shadow c = 25 m

Let us assume the Height of the building to be = a

According to the pythagoras theorem

\(c^{2}=a^{2}+b^{2}\)

\(25^{2}=a^{2}+15^{2}\)

\(a^{2} = 25^{2}-15^{2}\)

\(a^{2}\) = 625-225

\(a^{2}\) = 400

a = 20 meters

The height of the building is 20 meters

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Hi! Hope this helps, and if it does, please mark brainliest!

Answer:

y = 43 and x = 90

Step-by-step explanation:

We know that a triangle is 180 degrees (each side equals 180 since they are their own triangles) We will focus on the left triangle. Since x is a right angle, it is 90 degrees. Since there is a slash across the two sides of the main triangle, that means both sides are equal. This means that the bottom left angle, the one above b, is equal to 47 degrees. That means we know two angles out of 3. For the sake of simplicity, the bottom left angle, the one above b, is point z. So point z is 47, and x is 90, added they are 137. Subtract that from 180, you will get 43. 43 is y.

Answer:

36°

Step-by-step explanation:

We know that

\( \rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36\)

Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

A test estimate of 16,900 is required to appraise the extent of the populace having a particular genetic marker.

To decide the test estimate required to assess the extent of the populace with a characterized edge of mistake and certainty level, we will utilize the equation:

\(n = (z^2 * p * (1 - p)) / (E^2)\)

Or:

n is the sample size

z is the z-score related to the level of confidence

p is the estimated ratio of the population to the genetic marker

1 - p is the estimated proportion of the population with no genetic markers

E is the desired margin of error (in decimal)

By substituting the values ​​given in the formula, we get:

\(n = (z^2 * p * (1 - p)) / (E^2)\)

\(n = (2.33^2 * 0.5 * 0.5) / (0,01^2)\)

\(n = 1.69 * 10^4\)

therefore, a test estimate of 16,900 is required to appraise the extent of the populace having a particular hereditary marker with an edge of mistake of 1% and a certainty level of 98. %, expecting 50% of the populace has the marker.

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9514 1404 393

Answer:

  a) $96.65

  b) $28,995

  c) 51.7% to principal; 48.3% to interest

Step-by-step explanation:

a) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the loan amount, r is the annual rate, and t is the number of years

Filling in the given values, we find ...

  A = $15,000(0.06/12)/(1 - (1 +0.06/12)^(-12(25))) ≈ $96.65

The monthly payment is $96.65.

__

b) The 300 payments total ...

  $96.65 × 300 = $28,995

The total amount paid is $28,995.

__

c) The percentage paid toward the principal is ...

  $15,000/$28,995 × 100% ≈ 51.7%

The remainder is paid toward interest: 100% -51.7% = 48.3%

51.7% is paid toward principal, 48.3% is paid for interest.

The approximate width (w) that will maximize the volume of the rectangular prism is 2.75 units.

To find the width that maximizes the volume, we need to maximize the expression w(4-w)(w+2). This expression represents the volume of the rectangular prism.

To find the maximum value, we can take the derivative of the expression with respect to w and set it equal to zero. Taking the derivative, we get:

d/dw [w(4-w)(w+2)] = (4 - 2w)(w+2) - w(4-w) = -3w^2 + 4w + 8.

Setting this derivative equal to zero, we have:

-3w^2 + 4w + 8 = 0.

We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, the quadratic formula gives us:

w = (-4 ± sqrt(4^2 - 4(-3)(8))) / (2(-3)).

Simplifying this expression, we get:

w = (-4 ± sqrt(16 + 96)) / (-6),

w = (-4 ± sqrt(112)) / (-6),

w = (-4 ± 2sqrt(7)) / (-6).

Approximating the values, we have w ≈ -0.28 and w ≈ 2.75.

Since width cannot be negative in this context, the approximate width (w) that will maximize the volume is 2.75 units, which corresponds to option C.

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The dimensions of this rectangular prism are given algebraically.

w (4-w) (w + 2).

What is the approximate width (w) that will maximize the volume?

A. 2 units

B. 2.5 units  

C. 2.75 units

D. 3 units