Medea found the missing measure using a proportion of the reduced trapezoid.

Analyze Medea’s work. In which step did Medea make an error?

In step 1, the corresponding parts are in different positions.

In step 2, the cross products should be multiplied instead of being equal.

In step 3, she should have added instead of multiplying to simplify.

In step 4, she needed to divide 2 to both sides to get x = 4.

​

Answer:

0.25

Step-by-step explanation:

1/2 the cards are red and 1/2 are black so it is 0.5 x 0.5

The probability that the first card drawn is a black card and the second is a red card, with replacement, is 1/4 or 25%.

In probability, when we talk about selecting cards with replacements from a deck, the chances of any single card being drawn remain constant regardless of previous draws. A standard deck of cards has 26 black cards and 26 red cards. The probability of drawing a black card is P(Black) = 26/52, and similarly, the probability of drawing a red card is P(Red) = 26/52. When we draw one card, replace it, and then draw again, the outcomes are independent since the replacement restores the deck to its initial state.

The probability of the first card being black and the second card being red is the product of the individual probabilities of each event:

Therefore, the probability that the first card drawn is black and the second is a red card is 1/4 or 25%.

Answer:

A.)

Two x-intercepts

Step-by-step explanation:

This question pertains to determining the number of x-intercepts a given quadratic equation has. To solve this, the discriminant of the quadratic equation would need to be calculated, which subsequently determines the number of x-intercepts (if repeated D>0 equals two, D=0 equals one and D<0 means none). The exact number for this specific equation could not be calculated due to an unclear part in the question.

The equation y = 0.5x^2 -6x + 3 is an equation of a quadratic function. The x-intercepts of this function can be found by setting y to 0 and solving the equation for x. A quadratic equation, however, can have two, one, or no x-intercepts, depending on its discriminant (D). The discriminant is found with the equation D = b^2 - 4ac from the general form of a quadratic equation which is ax^2+bx+c = 0. If D > 0 the quadratic has two x intercepts, if D = 0 then it has exactly one and if D < 0 it has none.

For our equation (0,5x^2-6x+3), the discriminant (D) could be calculated as: D = (6)^2 - 4*(0,5)*3. After this calculation, we could determine the number of x-intercepts but since this is not fully clarified in the question, we can't provide a definite answer.

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Answer:

Step-by-step explanation:

Given

Joaquin's score is [tex]75,72,85,62,58,91[/tex]

and Trisha's score is [tex]92,90,55,76,91,74[/tex]

Arranging score in order of value we get

Joaquin's : [tex]58,62,72,75,85,91[/tex]

Trisha's : [tex]55,74,76,90,91,92[/tex]

as no of values is even therefore their median is

Joaquin's[tex]=\frac{72+75}{2}=73.5[/tex]

Trisha's [tex]=\frac{76+90}{2}=83[/tex]

Therefore median of Joaquin's is lower

Thus Joaquin wins the game

Answer:

the answer is A)

Step-by-step explanation:

took the test and got a 90

Answer:

4048.38 J

Explanation:

By using the formula Q=mcΔT

Q = 0.765 × 126 × 42

= 4048.38 J

The quantity of heat required to raise the  temperature is 4048.38 Joules.

Given the following data:

We know that the specific heat capacity of mercury is 126 J/kg°C.

To find how much heat is required to raise the  temperature:

Mathematically, heat capacity or quantity of heat is given by the formula;

[tex]Q = mc\theta[/tex]

Where:

Substituting into the formula, we have:

[tex]Q = 0.765[/tex] × [tex]126[/tex] × [tex]42[/tex]

Quantity of heat, Q = 4048.38 Joules

Therefore, the quantity of heat required to raise the  temperature is 4048.38 Joules.

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Answer:

4x  +6

Step-by-step explanation:

(x+4) + (3x+2)

Combine like terms

x+3x   +4+2

4x  +6

To find the sum of the expressions (x+4) and (3x+2), one combines like terms. The sum of the x terms, 1x and 3x, is 4x and the sum of the constants, 4 and 2, is 6. Hence, the sum of the given expressions is 4x + 6.

To find the sum of two expressions, (x+4) and (3x+2), we need to follow a process known as combining like terms. In arithmetic and algebra, 'like terms' are terms that have the same variables and powers. In this case, the 'like terms' are x in (x+4) and 3x in (3x+2).

Adding these two expressions, we get:

(x + 4) + (3x + 2)

To combine like terms, we add the coefficients of the x terms together (1x and 3x) and we add the constants together (4 and 2).

Sum of x terms: x + 3x = 4x

Sum of constants: 4 + 2 = 6

So, the sum of (x + 4) and (3x + 2) is 4x + 6.

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Answer:

100.584 KILOMETERS

Step-by-step explanation: cause i know it ❤

hope you get it right! love ya stranger

On conversion of 62.5 miles to kilometers we get 100.625 km.

To convert 62.5 miles to kilometers, use the conversion factor of 1 mile being equal to 1.61 kilometers to calculate that it is equivalent to 100.625 km.

To convert 62.5 miles to kilometers, you can use the fact that 1 mile is equal to 1.61 kilometers to set up a conversion ratio.

1 mile = 1.61 km

62.5 miles x 1.61 km/mile = 100.625 km

Answer:

2cm ever hour or 1 every 1/2hour

The number 504 is divisible by 2, 3, and 7 using the divisibility rules. It is not divisible by 5 as it does not end in 0 or 5, and not by 11 as the difference between the sum of alternating digits is not a multiple of 11.

To determine which numbers 504 is divisible by using the divisibility rules, we can examine each option provided:

2: A number is divisible by 2 if it is even, that is, if its last digit is 0, 2, 4, 6, or 8. Since 504 ends with a 4, it is divisible by 2.

3: A number is divisible by 3 if the sum of its digits is a multiple of 3. For 504, the sum of its digits is 5 + 0 + 4 = 9, which is a multiple of 3, so 504 is divisible by 3.

5: A number is divisible by 5 if its last digit is 0 or 5. Since 504 ends with a 4, it is not divisible by 5.

7: To determine divisibility by 7, there isn't a simple rule like there is for 2 or 5. However, through manual calculation or knowledge, we can confirm 504 is 7 times 72, and therefore, it is divisible by 7.

11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is a multiple of 11 or 0. For 504, (5 - 0 + 4) = 9 which is not a multiple of 11, so 504 is not divisible by 11.

In conclusion, 504 is divisible by 2, 3, and 7.

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses.

Cesar's average monthly expenses, rounded to the nearest dollar, were $2,511.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Cesar worked every week for the year, which is 52 weeks.

Therefore,

He worked a total of 52 x 28 = 1,456 hours.

If he made $23 an hour, then his total earnings for the year would be

1,456 x $23 = $33,488.

If he saved $3,360 after paying all of his monthly expenses, then his total expenses for the year would be:

$33,488 - $3,360 = $30,128

To find his average monthly expenses, we can divide his total expenses for the year by 12:

= $30,128 ÷ 12

= $2,510.67

Rounding this to the nearest dollar, we get an answer of $2,511

Therefore,

Cesar's average monthly expenses, rounded to the nearest dollar, were $2,511.

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Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

2b - 15 = 605

Add 15 to both sides

2b=620

Divide both sides by 2

b=310

The only gorilla who weighs 310 pounds is Nancy.

Answer:

Nancy

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

20% of $60 =

= 20% * $60

= 0.20 * $60

= $12

Answer:

-45*4=-180

Step-by-step explanation:

The solution to the system of equations y = 1/2x - 4 and y = 2x - 9 is x = -2 and y = -5.

To find the solution to the system of equations y = 1/2x - 4 and y = 2x - 9, we need to find the values of x and y that satisfy both equations. We can do this by finding the points of intersection between the two lines graphically or by solving the equations algebraically.

Graphically, we can plot the two lines on a graph and see where they intersect. The points of intersection are (-2, -5) and (2, -3).

Algebraically, we can set the two equations equal to each other and solve for x:

1/2x - 4 = 2x - 9

Now solve for x:

x = -2

Then substitute the value of x back into one of the original equations to find the value of y:

y = 1/2(-2) - 4 = -5

So the solution to the system of equations is x = -2 and y = -5.

Answer:

68 cm

Step-by-step explanation:

creates 4 "5,12,17" triangles. so multiply 17 by 4 to get 68.

Answer:

The slope is -1/3

Answer:

y=1/8x-7

Step-by-step explanation:

You have to get Y by itself so start out by subtracting 8 from both sides so you have y=1/8(x+8)-8.

Next simplify by distributing 1/8 to (x+8) which is 1/8+1.

Combine like terms and bam.

y=1/8x-7

Step 2: [tex]$(x + 3)^2 = 100$[/tex]. Step 3: [tex]$x + 3 = \pm 10$[/tex]. Step 4: [tex]$x = -13$[/tex] or [tex]$x = 7$[/tex]. The final answer is (C).

Given:

[tex]\frac{1}{5}(x+3)^2-2 & =18[/tex]

[tex]\frac{1}{5}(x+3)^2 & =20 \quad \text { Step } 1[/tex]

Step 2: To solve for (x+3), we isolate it by dividing both sides by [tex]$\frac{1}{5}$[/tex]:

[tex]\frac{1}{5}(x+3)^2 &= 20[/tex]

[tex](x+3)^2 &= 20 \times 5[/tex]

[tex](x+3)^2 &= 100[/tex]

Step 3: Take the square root of both sides to solve for x+3:

[tex]\sqrt{(x+3)^2} &= \pm \sqrt{100}[/tex]

[tex]x+3 &= \pm 10[/tex]

Step 4: Solve for x by subtracting 3 from both sides:

[tex]x &= -3 \pm 10[/tex]

[tex]x &= -13 \quad \text{or} \quad x = 7[/tex]

So, the complete step by step solution is:

Step 2:

[tex](x+3)^2 = 100[/tex]

Step 3:

[tex]x+3 = \pm 10[/tex]

Step 4:

[tex]x = -13 \quad \text{or} \quad x = 7[/tex]

Thus, the correct answer is (C).

Complete Question:

Answer:

The Answer is 2 Units on edg 2020

Step-by-step explanation:

The radius of a circle whose equation is given is x²+y²+8x−6y+21=0 is; 2.

The given equation of the circle is;

Hence, by collecting like terms and subsequent factorisation by completing the square method, it follows that;

By comparison of the equation above with the standard form equation of a circle, it follows that the radius of the circle is; 2

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Answer:

i dont know teeheeee

Step-by-step explanation:

Final answer:

To evaluate the expression x^3 + x^2 for x=4, you substitute 4 into the equation, resulting in 4^3 + 4^2, which is 64 + 16, equalling 80.

Explanation:

The question asks to evaluate the expression x^3 + x^2 for x=4. To do this, we simply substitute 4 into the expression.

First, calculate 4 to the power of 3 (4^3), which is 64. Next, calculate 4 to the power of 2 (4^2), which is 16. Finally, add these two results together: 64 + 16 = 80.

Therefore, x^3 + x^2 evaluated for x=4 is 80.

To evaluate the expression x^3 + x^2 for x=4, substitute the value of x into the expression, resulting in 4^3 + 4^2, which simplifies to 64 + 16, and the final answer is 80.

To evaluate the expression x^3 + x^2 for x=4, we need to substitute the value of x into the expression and simplify it. Firstly, we calculate x to the power of 3, which is 4^3, and x to the power of 2, which is 4^2.

4^3 = 4 × 4 × 4 = 64

4^2 = 4 × 4 = 16

Now, we add the results together:

64 (which is 4^3) + 16 (which is 4^2) = 80

Therefore, when we evaluate the expression for x=4, the result is 80.

Answer:

60

Step-by-step explanation:

Divide 6 by 3 = 2 songs per month

times it by 30 (months) = 60 songs per 30 months

Answer:

(A)There are twice as many students in Homeroom B that spent 6 hours studying for their final science exam than in Homeroom A

Step-by-step explanation:

From the dot plot presented,

In Homeroom A, number of students who spent 6 hours studying for their science final exam =1

In Homeroom B, number of students who spent 6 hours studying for their science final exam =4

Therefore, the statement that "There are twice as many students in Homeroom B that spent 6 hours studying for their final science exam than in Homeroom A" is not supported from the dot plot.

The correct option is A.

Answer:

Step-by-step explanation:

Let one of the side = x

So, other side = x - 2

Area = 360 sq.m

x*(x - 2) = 360

x*x - x * 2 = 360

x² - 2x -360 = 0

x² + 18x - 20x  - 18*20 = 0

x(x +18) - 20*(x + 18 ) = 0

(x + 18)(x -20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x - 20 = 0

x = 20

Length of the longer side = 20 m

Answer:

7 meters

Step-by-step explanation:

The cylinders are congruent, so they both have a radius of 4.6 m and a volume of 148.12π m³.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

148.12π = π (4.6)² h

h = 7

Answer:

a

Step-by-step explanation:

x>-2

Step-by-step explanation:

1/2x + 4 - 15 = - 3

1/2x - 11 = - 3

1/2x = - 3 + 11

1/2x = 8

x = 8-1/2

x = 7.5

If Sarah missed 9 questions on a quiz with 60 questions then 15% of  questions did she get wrong

percentage, a relative value indicating hundredth parts of any quantity.

Given that the number of questions in quiz are 60.

In that sarah missed 9 questions.

We need to find what percentage of questions did she get wrong.

x×60 =9

Now divide both sides by 60

x=9/60

x=0.15

Now multiply 0.15 with 100.

0.15×100

15%

Hence, 15% of the questions sarah get wrong.

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Answer:

Hope this helps...

Step-by-step explanation:

P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant.

Now, a German man named Norbert Blum has claimed to have solved the above riddle, which is properly known as the P vs NP problem.

Answer:

The P versus NP is a famous unsolved problem in computer science.

It questions that if every problem whose solution can be rapidly verified can also be solved in limited time.

Hope this helps!

:)