Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.

Answer:

25.35

Step-by-step explanation:

25.2+25.3+25.8+25.1. /. 4

= 25.35

Triangle PQR is similar to triangle P”Q”R” because the rotation and dilation transformations preserve the shape and angles of the original triangle.

The rotation simply changes the orientation of the triangle, but the angles and side lengths remain the same. The dilation scales all the side lengths by a factor of 9, which preserves the ratios of the side lengths and the angles of the original triangle.

Since similarity of two triangles is defined as the correspondence between the angles of one triangle to the angles of another triangle, and the ratio of the lengths of the corresponding sides is constant, PQR is similar to P”Q”R” because the angles of PQR and P”Q”R” are congruent, and the ratio of the lengths of the corresponding sides is the same. This means that PQR and P”Q”R” have the same shape and are therefore similar.

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Answer:

1=50

2=90

3=60

4=60

5=60

6=60

7= 120

Step-by-step explanation:

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

Step-by-step explanation:

CD/6.5 = 2.6/4.9    This is the result of the angle bisector theorem.

The theorem basically says that the side opposite the angle being bisected is divided  the ratio of the sides enclosing the angle.

Multiply both sides of the proportion by 6.5

CD = 2.6 * 6.5 / 4.9

CD = 3.4489

CD = 3.4 rounded.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

I would say "It increases the passenger’s stopping time, and this decreases the force"

Step-by-step explanation:

Im not sure so please dont get mad at me!

Please consider brainliest! Have a good day! Bye<3

Answer:

(c)

Step-by-step explanation:

took the test

Given:

Circle equation is

(h,k) be the center of the circle and r be the radius.

Option C is the correct answer.

Answer:

Step-by-step explanation:

Simplifying

1.4x + 3.5y = 0

Solving

1.4x + 3.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.5y' to each side of the equation.

1.4x + 3.5y + -3.5y = 0 + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0

1.4x + 0.0 = 0 + -3.5y

1.4x = 0 + -3.5y

Remove the zero:

1.4x = -3.5y

Divide each side by '1.4'.

x = -2.5y

Simplifying

x = -2.5y

The volumes of the right prism are, respectively:

Case 6: V = 703.72 mm³

Case 7: V = 57905.84 mm³

Case 8: V = 3744 ft²

Case 9: V = 475.20 mm³

The volume of the sphere is:

Case 10: V = 18816.57 cm³

In this problem we find four cases of right prisms, whose volumes must be computed. This can be done with the help of following formulas:

Volume

V = A · h

Area formula - Rectangle

A = w · l

Area formula - Triangle

A = 0.5 · w · l

Area formula - Circle

A = π · r²

In addition, we need to determine the volume of a sphere:

V = (4π / 3) · r³

Where:

Now we proceed to determine the volume for each case:

Case 6

V = π · (16 mm)² ·  (14 mm)

V = 703.72 mm³

Case 7

V = π · [(40 mm)² - (32 mm)²] · (32 mm)

V = 57905.84 mm³

Case 8

V = (12 ft) · (8 ft) · (39 ft)

V = 3744 ft²

Case 9

V = 0.5 · (11 mm) · (5.4 mm) · (16 mm)

V = 475.20 mm³

Case 10

V = (4π / 3) · (16.5 cm)³

V = 18816.57 cm³

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Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

Answer:B on edge (15.5)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Using Cramer's rule for first-order condition:

Using Hessian for the second-order condition, critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

(a) Using Cramer's rule for the first-order condition:

To optimize the function y, find the critical points where the gradient is equal to zero. The gradient of y is given by:

∇y = [6x₁ - x₂ - 3x₃ - 5, -x₁ + 12x₂ + 2x₃ - 4, 2x₂ + 8x₃ + 2 - 3x₁]

Setting the gradient equal to zero:

6x₁ - x₂ - 3x₃ - 5 = 0 (1)

-x₁ + 12x₂ + 2x₃ - 4 = 0 (2)

2x₂ + 8x₃ + 2 - 3x₁ = 0 (3)

Using Cramer's rule to solve this system of linear equations, the determinant of the coefficient matrix is:

|A| =

| 6 -1 -3 |

|-1 12 2 |

|-3 2 -3|

|A| = 444

The determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations is:

|A₁| =

| 5 -1 -3 |

| 0 12 2 |

| 0 2 -3|

|A₁| = -149

The determinant of the matrix obtained by replacing the second column of A with the constants is:

|A₂| =

| 6 5 -3 |

|-1 0 2 |

|-3 0 -3|

|A₂| = -138

The determinant of the matrix obtained by replacing the third column of A with the constants is:

|A₃| =

| 6 -1 5 |

|-1 12 0 |

|-3 2 2|

|A₃| = -278

Therefore, using Cramer's rule:

x₁ = |A₁|/|A| = -149/444

x₂ = |A₂|/|A| = -69/222

x₃ = |A₃|/|A| = 139/444

(b) Using the Hessian for the second-order condition:

To check whether the critical point found in part (a) is a maximum, minimum or saddle point, we need to use the Hessian matrix evaluated at the critical point. The Hessian of y is given by:

(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

Evaluating H(y) at the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444):

H(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

The eigenvalues of H(y) are 2, 6, and 18, which are all positive. Therefore, H(y) is positive definite, and the critical point is a minimum.

Therefore, the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

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Answer:

Step-by-step explanation:

2(x-3) = 5

Distribute.

2x - 6 = 5

Eliminate the 6.

2x = 11

Divide by 2.

x = 11/2

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

We can use distributive property to simplify the equation, \(2x-6=5\). Now, we can move -6 to the right hand side. \(2x=11\). Finally, we can divide 2, \(x=\frac{11}{2}\) or \(x = 5\frac{1}{2}\)

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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Answer:

Step-by-step explanation:

Answer:

second option is true:

-2 + v = 16

Step-by-step explanation:

do them all:

-2 - v = 16

-v = 18;   v = -18   (NOT 14)  FALSE

-2 + v = 16

v = 18  TRUE

-2 + v = 16

v = 18    (NOT 14)  FALSE

v + (-2) = 16

v = 18   (NOT -8)    FALSE

The completely expanded form of the logarithm log(5x³) is log( 5 ) + 3log( x ).

Logarithm is simply the inverse function to an exponentiation.

It is the power to which a base is raised to yield a given figure.

Given the logarithm in the question;

To complete expand the logarithm, rewrite log( 5x³ ) as log( 5 ) + log( x³ ).

log( 5 ) + log( x³ ).

Next, expand log( x³ ) by moving 3 outside the logarithm.  log( x³ ) = 3log( x ).

log( 5 ) + log( x³ ).

log( 5 ) + 3log( x )

Therefore, the expanded form is log( 5 ) + 3log( x ).

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Answer: The cost for the total trips is $14. The amount of trips that Wanda can make is a maximum of 7 to equal the amount.

Step-by-step explanation:

First, make the amount of trips, x

Step 1. $32 = $18 + $2x

Step 2. ($32 - $18) = ($18 - $18) + $2x

Step 3. $14 = $2x

Step 4. $14 / $2 = $2x / $2

Step 5. $7 = x

Step 6. $32 = $18 + ($2 * 7)

Step 7. $32 = $18 + $14

Step 8. Check for the equation. $32 = $32

(correct me if im wrong)

Add up the times spent

Answer:

f(n) = -3n + 24

Step-by-step explanation:

Let the function representing Number of meals and amount of Pet Food remaining is,

f(n) = an + b

Where a = number of meals dispensed

n = amount of Pet food per meal

b = Initial amount of Pet food

From the table attached,

For n = 1 and f(n) = 21,

21 = a(1) + b

a + b = 21 -----------(1)

For n = 3 and f(n) = 15,

15 = a(3) + b

3a + b = 15 -----------(2)

Equation (2) - equation (1),

(3a + b) - (a + b) =  15 - 21

a = -3

From equation (1),

-3 + b = 21

b = 24

Therefore, function will be,

f(n) = -3n + 24

Answer:f(n)=-3+24

Explanation

Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

\(A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right]\)

Step-by-step explanation:

Given the matrix

\(A = \left[\begin{array}{ccc}-3&3&2\\8&-1&3\end{array}\right] \\R1 = -3, 5, 2\\R2 = 8, -1, 3\\\\\)

Before we can get the resulting matrix after the elementary operation, we need to get the new second row using the formula −2R2+3R1?

when R1= -3, R2 = 8

−2R2+3R1? = −2(8)+3(-3)

−2(8)+3(-3) = -16-9

−2(8)+3(-3) = -25

R1= 5, R2 = -1

−2R2+3R1? = −2(-1)+3(5)

−2(-1)+3(5) = 2-15

−2(-1)+3(5) = -13

when R1= 2, R2 = 3

−2R2+3R1? = −2(3)+3(2)

−2(3)+3(2) = -6-6

−2(3)+3(2) = 0

Hence the new R2 are -25, -13, 0

The resulting matrix will be:

\(A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right]\)

Answer:

-25 17 0

 8  -1   3

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

They can both be divided by 3.

6 divided by 3 is 2, while 15 divided by 3 is 5

Boys:Girls

6:15

2:5

Answer:

2:5

Step-by-step explanation:

Answer:

-5 - 3x > 10

Step-by-step explanation:

x = -6

Plug in the x value for each inequality:

-5 - 3(-6) > 10

-5 + 18 > 10

13 > 10

True

-3 - 5(-6) < -14

-3 + 30 < -14

27 < -14

False

1 - 2(-6) > 13

1 + 12 > 13

13 > 13

False

2 - (-6) < -3

2 + 6 < -3

8 < -3

False

Only one of these is true; that is the answer.

Answer:

6

Step-by-step explanation:

6x6 is 36

Option A) and C) are the correct option which is the remote interior angles of ∠1 are ∠4 and ∠6.

Remote interior angles are the angles that are inside the given triangle and opposite from the exterior angle.

According to the given question we have been given that the ∠1 is an exterior angle and an exterior angle has two remote interior angles.

Thus from the figure we can see that opposite of ∠1 is the vertex with angle ∠4 and ∠6.

Hence the remote interior angles of ∠1 are ∠4 and ∠6. That is option A) and C) is the correct option.

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