need the answer as soon as possible

Answer:

x = 5

Step-by-step explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

      \(\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5\)

Answer:

The heaviest piece of chocolate weighed 2.94 ounces.

Step-by-step explanation:

Answer:

Rhombus

Step-by-step explanation:

This could be a rhombus since in a square, the lines are congruent and perpendicular, so we move on to a broader shape, rectangles. the diagonals are congruent but not perpendicular, so we go to rhombus, and in a rhombus the diagonals are not congruent but they are perpendicular.

Answer:

x = 9 , y = 12

Step-by-step explanation:

Solve the following system:

{4 y - 5 x = 3

x = 2 y - 15

Hint: | Perform a substitution.

Substitute x = 2 y - 15 into the first equation:

{4 y - 5 (2 y - 15) = 3

x = 2 y - 15

Hint: | Expand the left-hand side of the equation 4 y - 5 (2 y - 15) = 3.

4 y - 5 (2 y - 15) = 4 y + (75 - 10 y) = 75 - 6 y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{75 - 6 y = 3

x = 2 y - 15

Hint: | Isolate terms with y to the left-hand side.

Subtract 75 from both sides:

{-6 y = -72

x = 2 y - 15

Hint: | Solve for y.

Divide both sides by -6:

{y = 12

x = 2 y - 15

Hint: | Perform a back substitution.

Substitute y = 12 into the second equation:

{y = 12

x = 9

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 9 , y = 12

Therefore, the equation for that value x = 6, and m(A) = 90.

A mathematical equation expresses two things as being equal to one another, or as having the same value and worth. A specific equation that expresses a significant link between variables and numbers is called a formula.

The fact that the sum of a triangle's angles is 180 degrees must be used to determine the value of x. Angles J, A, and K in the triangle AJK allow us to write:

m(J) + m(A) + m(K) = 180

We can substitute the given angle measures into this equation:

(8x - 7) + m(A) + (x + 7) = 180

Simplifying this equation, we get:

9x + m(A) = 180 - 7 - 7

9x + m(A) = 166

We can use the same reasoning for triangle AJL:

m(J) + m(A) + m(L) = 180

Substituting the given angle measures, we get:

(8x - 7) + m(A) + (2x + 15) = 180

Simplifying this equation, we get:

10x + m(A) = 172

The two unknowns in our current set of equations are x and m(A). By removing the first equation from the second, we can find m(A):

10x + m(A) = 172

(9x + m(A) = 166)

x = 6

Now that we know x, we can substitute it into either equation to find m(A):

8x - 7 + m(A) + x + 7 = 180

15x + m(A) = 180

m(A) = 180 - 15x

Substituting x = 6, we get:

m(A) = 180 - 15(6) = 90

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The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

12!

Step-by-step explanation:

А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600

You must observe the distances from the center of the dilation at point A to the other points B, C and D. The dilation image will be 1/3 of each of these distances. AB = 6, so A'B' = 2. AD = 9, so A'D' = 3.

Can I get brainllest

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

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The composition of functions f ( g ( 1 ) ) = 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

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The vector function that represents the curve of intersection between the cone z = sqrt\((x^2 + y^2\)) and the plane z = 1 is given by r(t) = [cos(t), sin(t), 1]

To find the vector function that represents the curve of intersection between the cone and the plane, we need to equate the expressions for z in both surfaces and solve for x, y, and z.

The cone is defined by the equation z = sqrt(\(x^2 + y^2).\)

The plane is defined by the equation z = 1.

Setting these two expressions equal to each other, we have:

sqrt(x^2 + y^2) = 1

To eliminate the square root, we can square both sides of the equation:

\(x^2 + y^2 = 1\)

This equation represents a circle in the xy-plane with a radius of 1 centered at the origin.

Now, let's express x and y in terms of a parameter t to obtain a vector function for the curve of intersection. We can choose to parameterize the circle using polar coordinates:

x = cos(t)

y = sin(t)

Substituting these expressions into the equation x^2 + y^2 = 1, we have:

cos^2(t) + sin^2(t) = 1

This is true for any value of t, so the parameterization is valid.

Finally, we can write the vector function for the curve of intersection:

r(t) = [cos(t), sin(t), 1]

Therefore, the vector function that represents the curve of intersection between the cone z = sqrt(x^2 + y^2) and the plane z = 1 is given by r(t) = [cos(t), sin(t), 1], where t is a parameter that varies over the range of values that defines the circle in the xy-plane.

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Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

The equations that are equivalent are:

2 + x = 5

x + 1 = 4

-5 + x = -2

If any two or more equations are equivalent, they would have the same value when evaluated.

To find which equations are equivalent, solve to find the value of x in each given equation.

A. 2 + x = 5

x = 5 - 2

x = 3

B. x + 1 = 4

x = 4 - 1

x = 3

C. 9 + x = 6

x = 6 - 9

x = -3

D. x + (-4) = 7

x  = 7 + 4

x = 11

E. -5 + x = -2

x = -2 + 5

x = 3

The equivalent equations are:

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Answer:

True

Step-by-step explanation:

Answer:

54.91

Step-by-step explanation:

64.6/x=100/85

(64.6/x)*x=(100/85)*x

64.6=1.17*x  (divide both sides of the equation by 1.17 to get x)

54.91=x

x=54.91

now we have 85% of 64.6= 54.91

Answer:

76

We make the assumption that 85 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that 100% = 85

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

The required perimeter of the scale drawing is given as 18 inches.

Given that,
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. The perimeter, in inches, of the floor in the scale drawing, is to be determined.

Perimeter is the measure of the figure on its circumference.

Here,
According to the question,

L = 30 feet, W = 24 feet,
for Scaled drawing
l = 5 inch, w = x
Now,
30/5 = 24 / x
6 = 24 / x
x = 24 {1/6}
x = 4,
So the width of the scale drawing is 4 inches,
perimeter of the scaled drawing  = 2[l + w]
                                                       = 2 [5 + 4] = 18 inches

Thus, the required perimeter of the scale drawing is given as 18 inches.

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The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687

Given to find the debt-per capita ratio

Let us convert them into dollars

1 billion dollars= 10^9 dollars

1 million= 10^6

State            Debt          Population                     Debt per capita

Illinois 151.67*10^9   12.71*10^6        (151.67*10^9) /(12.71*10^6)

                                                                    = $11933.12                          

Indiana    50.85*10^9     6.69*10^6       (50.85*10^9) /(6.69*10^6)    

                                                                      =$7600.90

Ohio 85.23*10^9  11.69*10^6        (85.23*10^9) /(11.69*10^6)

                                                                      =$7290.85

Kentucky  38.83*10^9  4.47*10^6        (38.83*10^9) /(4.47*10^6)

                                                                           =$ 8686.80

So, The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687

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Answer: Let's assume that the cost to make one item of clothing is directly proportional to the number of hours it takes to make it. We can use the equation:

Cost = k * Hours

where "Cost" is the cost to make one item of clothing, "Hours" is the number of hours it takes to make one item of clothing, and "k" is the proportionality constant that relates the cost to the number of hours.

In other words, if it takes x hours to make one item of clothing, then the cost to make one item is:

Cost = k * x

The value of k will depend on factors such as the cost of materials, the wages of the workers, and other expenses involved in the production process. The value of k can be determined based on the actual cost and number of hours for a particular item of clothing.

Step-by-step explanation:

Answer:

59.0

Step-by-step explanation:

Law of cosines:

c² = a² + b² -2ab*cos(C)

Where a, b and c are the sides opposite to angles A, B and C

⇒ 20² = 18² + 22² - 2(18)(22)*cos(C)

⇒ 2(18)(22)*cos(C) = 18² + 22² - 20²

⇒ 792*cos(C) = 324+ 484 - 400

⇒ 792*cos(C) = 408

⇒ cos(C) = 408/792

⇒ C = cos⁻¹(408/792)

C = 58.9924

C ≈ 59.0

To solve for C in an equation, it's necessary to isolate C on one side of the equation using algebraic principles. For instance, in the equation A=B+C, we subtract B from each side to get C=A-B.

Without a specific equation given, it's impossible to determine the direct solution for C. However, to solve for C in any given equation, isolate C on one side of the equation by using algebraic principles.

For example, if you have the equation A = B + C, to solve for C, you would subtract B from both sides, giving you A - B = C. That would be the solution for C in that equation.

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Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Step-by-step explanation:

I tried. if I got this wrong I might need to go back to kindergarten

Answer:

3) 13.75 ft

Step-by-step explanation:

You have to square the whole equation (15^2 - 6^2) and you’ll get 13.7477 round that and you get answer 3

thats as well as I can explain it, I’m no teacher. :)

Answer:

It will take 1.43 hours for them to clean the car.

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this problem:

Together rate: 1/x

Tanya's rate: 1/2

Pat's rate: 1/5

Together rate = Tanya's rate + Pat's rate

\(\frac{1}{x} = \frac{1}{2} + \frac{1}{5}\)

\(\frac{1}{x} = \frac{5 + 2}{10}\)

\(\frac{1}{x} = \frac{7}{10}\)

\(7x = 10\)

\(x = \frac{10}{7}\)

\(x = 1.43\)

It will take 1.43 hours for them to clean the car.

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

7-4g

Step-by-step explanation:

let the number =g

four times the number = 4×g = 4g

seven decreased br four times the number= 7- 4g

therefore, the answer = 7-4g

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither