Read these sentences and predict the outcome. type your answer in the box. jane's cat got in a fight with a skunk. when the cat came home, mother . . .

The expression has the answer as x = -11.15.

Simplifying the left-hand side of the equation first:

[(-3(3/35))÷(-(2/3))] · x = [(-96/35)÷(-17/9)] · x

Next, simplify the fraction inside the bracket:

[(-96/35)÷(-17/9)] = (-96/35)·(-9/17) = 432/595

Substituting this value back into the equation:

(432/595) · x = 7.2÷(-8/9)

To simplify the right-hand side of the equation, divide 7.2 by -8/9:

7.2 ÷ (-8/9) = 7.2 · (-9/8) = -8.1

Substituting this value back into the equation:

(432/595) · x = -8.1

Finally, solve for x by multiplying both sides by 432/595:

x = -8.1 · (595/432) = -11.15 (rounded to two decimal places)

Therefore, the solution to the equation is x = -11.15.

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The value of P² + Q² + P · Q including elimination of radical denominators is equal to 13.

Herein we have two irrational terms whose denominators are radical expressions, which can be treated by algebraic handling and properties for radical expressions:

P = (√2 + 1) / (√2 - 1)

P = [(√2 + 1) / (√2 - 1)] · [(√2 + 1) / (√2 + 1)]

P = (√2 + 1)² / (2 - 1)

P = (√2 + 1)²

P = 2 + 2√2 + 1

P = 3 + 2√2

Q = (√2 - 1) / (√2 + 1)

Q = [(√2 - 1) / (√2 + 1)] · [(√2 - 1) / (√2 - 1)]

Q = (√2 - 1)²

Q = 2 - 2√2 + 1

Q = 3 - 2√2

Then, the value of P² + Q² + P · Q is:

M = (3 + 2√2)² + (3 - 2√2)² + (3 + 2√2) · (3 - 2√2)

M = 9 + 12√2 + 8 + 9 - 12√2 - 8 + 3 - 8

M = 9 + 8 + 9 - 8 + 3 - 8

M = 21 - 8

M = 13

The value of P² + Q² + P · Q including elimination of radical denominators is equal to 13.

The statement is poorly formatted and reports typing mistakes, correct form is presented below:

If P = (√2 + 1) / (√2 - 1) and Q = (√2 - 1) / (√2 + 1), then find P² + Q² + P · Q.

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Answer:

by using Pythagoras law

height =√{10²-(26-14)²}=±2√11=+2√11

the area of the trapezoid=1/2 height (side1+side2]

=1/2 ×2√11 (14+26)=132.66unit²

Step-by-step explanation:

greater than 132.66unit² is 160 unit² so answer is 160unit²

Answer:

Step-by-step explanation:

Given isosceles trapezoid

First find the base of the triangle with side of 10 and dotted segment (h):

Find the height of the trapezoid, use Pythagorean:

Find the area of the trapezoid:

Correct choice is B

Answer:

100 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle area formula. A triangle is one of the most basic shapes in geometry. The best known and the most straightforward formula, which almost everybody remembers from school, is: area = 0.5 * b * h, where b is the length of the base of the triangle, and h is the height/altitude of the triangle. so i think 32:1

The markup on cost percentage for Hudson Bay's acquisition of sheets priced at MSRP 59.99 for 22.99 is 61.68%.

To calculate the markup on cost percentage, we can use the following formula:

Markup on Cost Percentage = ((Selling Price - Cost Price) / Cost Price) x 100

In this case, the cost price of the sheets is 22.99, and the selling price (MSRP) is 59.99. Plugging these values into the formula, we get:

Markup on Cost Percentage = ((59.99 - 22.99) / 22.99) x 100

Markup on Cost Percentage = (37 / 22.99) x 100

Markup on Cost Percentage = 1.6103 x 100

Markup on Cost Percentage = 61.68%

Therefore, Hudson Bay's markup on cost percentage for acquiring sheets priced at MSRP 59.99 for 22.99 is 61.68%.

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Answer:

16

Step-by-step explanation:

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To find the x-intercept ;

Just need to put 0((zero)) instead of y in the equation.

Let's do it....

3x - 7y = 21

3x - 7(0) = 21

3x - 0 = 21

3x = 21

Divided sides by 3

3 / 3 × x = 21 / 3

x = 7

Thus the x-intercept is 7 .

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To find the y-intercept ;

Just need to put 0((zero)) instead of x in the equation.

Let's do it....

3x - 7y = 21

3(0) - 7y = 21

0 - 7y = 21

-7y = 21

Divided sides by -7

-7 / -7 × y = 21 / -7

y = - 3

Thus the y-intercept is -3.

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The y-intercept of the equation of line  y = (7/9)x + 2/3 is 2/3.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question;

y = 7/9 x + 2/3

Simplify the right hand side

y = (7/9)x + 2/3

Using the slope-intercept form, the y-intercept is 2/3.

Therefore, the y-intercept in point form is (0,2/3).

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Answer:

$65

Step-by-step explanation:

50 x 0.30

= 15

50 + 15

= 65

98 square feet of glass were used to build the aquarium.

Given that the public library has an aquarium in the shape of a rectangular prism, which has a base of 6 feet by 2.5 feet and a height of 4 feet. We are to find out how many square feet of glass were used to build the aquarium.

The surface area of a prism is given as;S.A of the rectangular prism = 2(lw + lh + wh)Where l = 6 feet, w = 2.5 feet, and h = 4 feetSubstituting the given values;S.A of the rectangular prism = 2(6 × 2.5 + 6 × 4 + 2.5 × 4)S.A of the rectangular prism = 2(15 + 24 + 10)S.A of the rectangular prism = 2(49)S.A of the rectangular prism = 98

In order to construct the aquarium, 98 square feet of glass were utilised.

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Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

Answer:

35+4

Step-by-step explanation:

lol Double rainbows 7x5=35 +4= 39

Answer:

35+28

Step-by-step explanation:

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

Let A (2a, 4a)

     B(2a, 6a)

    C (2a + sqrt (3a), 5a)

Side AC:

\(\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}\)

Side BC:

\(\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}\)

Hence AC = BC

It is an isoceles triangle.

Side AB:

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

It proves that the triangle is NOT an equilateral triangle.

Answer:

Box 2

Step-by-step explanation:

Box 1: 2x3x2=4x3=12

Box 2: 2x3x1=6x1=6

Box 3: 2x3x4=6x4=24

The Laplace transform of the given function is,

L{f(t)} = (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

Given function is f(t) = {8 12 1 Jo, 0 ≤ t < 3/2, 3/2 ≤ t < 2, 2 ≤ t < ∞ respectively.

We have to find Laplace transform of the given function.

For first interval 0 ≤ t < 3/2,

f(t) = 8u(t) - 8u(t-3/2)

For second interval 3/2 ≤ t < 2,

f(t) = 12u(t-3/2) - 12u(t-2)

For third interval 2 ≤ t < ∞,

f(t) = Jo(u(t-2))

Hence, we can write the Laplace transform of the given function as,

L{f(t)} = L{8u(t) - 8u(t-3/2)} + L{12u(t-3/2) - 12u(t-2)} + L{Jo(u(t-2))}

Where, L is Laplace transform.

Let's calculate each Laplace transform stepwise,

1. L{8u(t) - 8u(t-3/2)}L{8u(t)} = 8/L{u(t)}L{u(t)}

= 1/sL{u(t-3/2)}

= e^{-3s/2}/s

Therefore,

L{8u(t) - 8u(t-3/2)} = 8[1/s - e^{-3s/2}/s]

2. L{12u(t-3/2) - 12u(t-2)}L{12u(t-3/2)}

= 12e^{-3s/2}/sL{12u(t-2)}

= 12e^{-2s}/s

Therefore,

L{12u(t-3/2) - 12u(t-2)} = 12[e^{-3s/2}/s - e^{-2s}/s]

3. L{Jo(u(t-2))}L{Jo(u(t-2))} = ∫_{0}^{∞}δ(t-2)e^{-st}dtL{Jo(u(t-2))}

= e^{-2s}

Hence, the Laplace transform of the given function is,

L{f(t)} = 8[1/s - e^{-3s/2}/s] + 12[e^{-3s/2}/s - e^{-2s}/s] + e^{-2s}

= (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

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Answer:

y=x+5

Step-by-step explanation:

Answer:

(3, - 2 )

Step-by-step explanation:

The solution is at the point of intersection of the 2 lines

The lines intersect at (3, - 2 ) ← solution

Check by substituting  x = 3 into the left side of the given equation

- 2(3) + 4 = - 6 + 4 = - 2 ← True

Answer: To find the length of the missing side of a right triangle we can use the following trigonometric ratios.

Step-by-step explanation: Find the measure of each side indicated. Round to the nearest tenth. So, the measure of the missing side is 4.6. Find the measure of each side indicated. Round to the nearest tenth. Opposite side = AC = 10.8 So, the measure of the missing side is 13.

Answer:

A. Sample space = 6

B. 0.17

C. No

D. Yes

Step-by-step explanation:

A. The sample space of an experiment is the set of all possible outcomes of that experiment.

since there are three colours and 2 outcomes for a coin toss,

sample space = 3 * 2 = 6

B. Probability of picking a green first = 4/12 = 1/3

probability of a tail = 1/2

Probability of a green and a tail, P(A) = 1/3 * 1/2 = 0.17

C. No.

Considering the two events;

A; green card is picked first

C ; a green or red card is picked

There is an intersection point for the two events.  Therefore, they are not mutually exclusive.

D. Yes.

Considering the two events;

A; green card is picked first

B ; a blue or red card is picked

There is no intersection point for the two events. Therefore, they are mutually exclusive.

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

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Answer:

it's not b and c

Step-by-step explanation:

it's a and c

brainliest please

Answer:

-5

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

4-y=9

Subtract 4 from both sides  

4-y-4=9-4

-y=5

Divide both sides by -1

-y/-1=5/-1

y=-5

Answer:

Step-by-step explanation:

Corresponding angles equal 180 degrees when added

6x + 3x = 180

9x = 180

x = 20

angle CBD is 60 and angle GFH is 120

3(20) = 60

6(20) = 120

Answer:

L = 12 inches and W = 8 inches

Area = 96 in^2

Step-by-step explanation:

Perimeter(P) = 2(width) + 2(length)

Let W = width and L = length

P = 2W + 2L

L = 2W - 4

Substitute:  P = 2W + 2(2W - 4)

P = 6W - 8

P = 40 inches

40 = 6W - 8

6W = 48

W = 8

L = 2W - 4

L = 2(8) - 4

L = 12

L = 12 inches and W = 8 inches

===============================

Check to see if this works:  

P = 2W + 2L

P = 2(12) + 2(8)

P = 24 + 16

P = 40 inches  YES

========

Area = WxL

Area = (12)*(8)

Area = 96 in^2

Answer:

57

Step-by-step explanation:

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Based on the information provided, the null hypothesis that will be rejected is H: μ = 161.7 mins (Option A).

To determine which null hypothesis will be rejected, we need to compute the test statistic and compare it to the critical value. First, we need to calculate the standard error of the mean:

SE = σ/√n = 45/√758 ≈ 1.639

where σ is the population standard deviation (given as 45) and n is the sample size (given as 758).

Next, we need to calculate the test statistic:

t = (X - μ) / SE = (165 - μ) / 1.639

where X is the sample mean (given as 165) and μ is the hypothesized population mean.

At a 95% confidence level with 757 degrees of freedom (df = n - 1), the critical t-value is ±1.960.

Now we can test each null hypothesis:

A) H: μ = 161.7 mins

t = (165 - 161.7) / 1.639 ≈ 2.008

The calculated t-value (2.008) is greater than the critical t-value (1.960), so we reject the null hypothesis H: μ = 161.7 mins.

Therefore, the null hypothesis that will be rejected is H0: μ = 161.7 mins (Option A).

Note: This question is incomplete; here are the missing answers:

A H: μ=161.7 mins

B H: μ=162.0 mins

C H: μ=162.8 mins

D H: μ=167.9 mins

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7