What is the following product

Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

4x - 4 = 4

there's infinite equations

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

wow! Thanks!

Step-by-step explanation:

Answer:

Thank youuu

Step-by-step explanation:

You should eat chicken nuggets, they are very good.

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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Answer:

B

Step-by-step explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

Answer:

4x3+6x6=48

Step-by-step explanation:

PEMDAS

4x3=12

6x6=36

12+36=48

therefore, the answer is 48

An expression that is not equivalent to 8(x − 2) + 13 − 2x include the following:

A. 8x - 16 + 13 - 2x.

B. 3(2x − 1).

C. 6x - 3.

In this exercise, you are to determine the expressions that are equivalent to the given mathematical expression 8(x − 2) + 13 − 2x. This ultimately implies that, we would have to simplify this mathematical expression 8(x − 2) + 13 − 2x by applying the distributive property of multiplication as follows;

8(x − 2) + 13 − 2x

8(x) - 8(2) + 13 - 2x

8x - 16 + 13 - 2x (Equivalent).

8x - 3 - 2x

6x - 3 (Equivalent).

By factorizing the above mathematical expression 6x - 3, we have the following:

3(2x − 1) (Equivalent).

In conclusion, we can logically deduce that 8x - 16 + 13 - 2x, 6x - 3, and 3(2x − 1) are equivalent to the given mathematical expression 8(x − 2) + 13 − 2x.

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The probability that it lands heads at least once is 1.0720.

Probability is the measure of the likelihood of an event occurring. In this case, we are looking at the probability of a coin landing heads at least once after three tosses.

Let's denote the event of the coin landing heads on the first toss as event A, the event of the coin landing heads on the second toss as event B, and the event of the coin landing heads on the third toss as event C.

The probability of landing heads at least once is equal to the sum of the probabilities of each individual event occurring (A, B, or C) minus the probability of all three events occurring (A and B and C).

P(A or B or C) = P(A) + P(B) + P(C) - P(A and B and C)

Since the coin is unfair and has a probability of 0.4 of landing heads, P(A) = P(B) = P(C) = 0.4.

Using the formula for the probability of multiple events happening simultaneously, we find that P(A and B and C) = P(A) * P(B) * P(C) = 0.4 * 0.4 * 0.4 = 0.064.

Plugging in all the values, we get:

P(A or B or C) = 0.4 + 0.4 + 0.4 - 0.064 = 1.136 - 0.064 = 1.072

Rounding to four decimal places, the answer is 1.0720, which means that the probability of the coin landing heads at least once after three tosses is 1.0720.

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Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Answer:

The x-intercept is 5 and the y-intercept is 20. To find the x-intercept plug in y = 0 into the equation and then solve for y and to find the y-intercept plug in x = 0 into the equation and solve for y.

Answer:

Step-by-step explanation:

75

The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

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The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

The newspaper article presents data from a study comparing virus leak rates in vinyl and latex laboratory gloves.

The null and alternative hypotheses for testing whether vinyl gloves have a greater virus leak rate than latex gloves are provided as options. In hypothesis testing, the null hypothesis (H0) represents the claim being tested, while the alternative hypothesis (H1) represents the opposing claim. In this case, the claim being tested is whether vinyl gloves have a greater virus leak rate than latex gloves.

To determine the appropriate null and alternative hypotheses, we need to consider the direction of the claim. The claim states that vinyl gloves have a greater virus leak rate, suggesting a one-sided comparison. Therefore, the null hypothesis should assume no difference or equality, and the alternative hypothesis should indicate a difference or inequality.

Looking at the options provided:

A. H0: p1 = p2 (null hypothesis assumes no difference)

  H1: p1 ≠ p2 (alternative hypothesis assumes a difference)

B. H0: p1 = p2 (null hypothesis assumes no difference)

  H1: p1 > p2 (alternative hypothesis assumes a greater virus leak rate for vinyl gloves)

C. H0: p1 > p2 (null hypothesis assumes a greater virus leak rate for vinyl gloves)

  H1: p1 = p2 (alternative hypothesis assumes no difference)

D. H0: p1 = p2 (null hypothesis assumes no difference)

  H1: p1 (missing alternative hypothesis)

The correct option is B, which states H0: p1 = p2 and H1: p1 > p2. This aligns with the claim that vinyl gloves have a greater virus leak rate than latex gloves. In conclusion, the null and alternative hypotheses for testing whether vinyl gloves have a greater virus leak rate than latex gloves are H0: p1 = p2 and H1: p1 > p2, respectively.

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Answer:

5^9

Step-by-step explanation:

I had this question before.

Answer:

x = 4

Step-by-step explanation:

Given

2x² - 7x - 4

To solve for x , equate the expression to zero

2x² - 7x - 4 = 0 ← in standard form

(x - 4)(2x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \(\frac{1}{2}\)

Thus the positive value of x is x = 4

Answer:

x=4

Step-by-step explanation:

Hope this helped have an amazing day!  

The numbers on the spinner are 1, 1, 2, 2, 3, 3, 4, and 4, satisfying all the given conditions.

Based on the given information, we can determine the numbers on the spinner as follows:

The probability of landing on 3 is 3/8.

There is an equal chance of landing on 1 or 2.

It is certain to land on a number less than five.

The number with the highest probability is 3.

Given these conditions, we can deduce that the numbers on the spinner are 1, 1, 2, 2, 3, 3, 4, and 4. Here's an explanation for each condition:

The probability of landing on 3 is 3/8:

There are two instances of the number 3 on the spinner, so the probability of landing on 3 is 2/8, which simplifies to 1/4.

However, the given information states that the probability of landing on 3 is 3/8. To achieve this, we need to duplicate the number 3 on the spinner. This way, out of the eight equally likely outcomes, there are three instances of the number 3, resulting in a probability of 3/8.

There is an equal chance of landing on 1 or 2:

To ensure an equal chance of landing on 1 or 2, we include two instances of each number on the spinner.

It is certain to land on a number less than five:

This means that all the numbers on the spinner must be less than five. Therefore, we include the numbers 1, 1, 2, 2, 3, 3, 4, and 4.

The number with the highest probability is 3:

By duplicating the number 3 twice on the spinner, it becomes the number with the highest probability of being landed on (3/8).

In summary, the numbers on the spinner are 1, 1, 2, 2, 3, 3, 4, and 4, satisfying all the given conditions.

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Answer:

25% discount

Step-by-step explanation:

The area of the irregular shape is 84 ft square.

The diagram is a trapezium. A trapezium is a quadrilateral. Therefore, the area of the trapezium can be found as follows:

area of the trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 ft

b = 18 ft

c = 6 ft

area of the trapezium = 1 / 2 (10 + 18)6

area of the trapezium = 1 / 2 (28)6

area of the trapezium = 168 / 2

area of the trapezium = 84 ft²

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Answer:

12x^2; 21

Step-by-step explanation:

4x^2-3=4×1.5^2-3=6

4x^2-2=4×1.5^2-2=7

4x^2-1=4×1.5^2-1=8

6+7+8=p=21

Answer:

A ) 12x^2-6; 21 inches

Step-by-step explanation:

EDG2021

The fraction 13 3/10 - 10 5/6 is simplified to 2 14/30

A fraction can be defined as the part of a whole element, number or value.

There are several types of fractions, which includes;

From the information given, we have that;

13 3/10 - 10 5/6

convert the mixed fraction to improper fraction, we have;

133/10 - 65/6

Find the lowest common multiple

399- 325/30

Subtract the numerators

74/30

Divide the values, we have;

2 14/30

Hence, the value is 2 14/30

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Answer:

24

Step-by-step explanation:

the wall meets the at a 45 degree angle and because of this we can draw a traingle allowing us to use the 45,45,90 method so then we do 12 times 2 and we get 24

Answer:

Its already simplified but if you mean a mixed number then its 27/16

Step-by-step explanation:

Twο pοints (8,8) and (-2,6) are the set οf the equatiοn  \(y < \frac{3}{4} x+6\\\) οf the graph \(y = \frac{3}{4} x+6\).

Graph, a diagram that shοws hοw a variable varies in relatiοn tο οne οr mοre οther variables (such as a cοllectiοn οf pοints, lines, line segments, curves, οr regiοns).

Nοw we have tο find the value οf the equatiοn i.e. \(y < \frac{3}{4} x+6\\\),

(x, y) = (8,8) , we get 8 < 12 , First pοint

(x, y) = (-4,3) , we get 3 = 3 , Nο match

(x, y) = (6,-2) , we get -2 < 10.5 , Secοnd Pοint

(x, y) = (0, 8) , we get 8 > 6 , Nο Match

(x, y) = (-9,2) , we get 2>-0.75 , Nο Match

Sο, we get οur pοints, which are pοints (8,8) and (-2,6) fοr the equatiοn \(y < \frac{3}{4} x+6\\\).

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Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

The largest component probability that can be achieved for the system is approximately 0.9428.

The cost of a system component is given by the equation C = 10\(P^2\), where C is the cost in dollars and P is the probability that the component will operate as expected. In this case, there are three identical components in the system, and the engineer has a budget of $252 to spend on these components.

To find the largest component probability that can be achieved, we need to determine the maximum value of P while staying within the budget. We can set up the equation:

3C = 252

Substituting C with the given equation, we get:

3(10\(P^2\)) = 252

Simplifying the equation, we have:

30\(P^2\) = 252

Dividing both sides of the equation by 30:

\(P^2\) = 8.4

Taking the square root of both sides:

P ≈ \(\sqrt{8.4}\)

P ≈ 2.8978

Since we are dealing with probabilities, the component probability cannot be negative, so we consider only the positive value. Therefore, the largest component probability that can be achieved is approximately 0.9428, rounded to 4 decimal places.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

7b+5m = 36

Step-by-step explanation:

7 bananas and 5 mangoes cost $36

7b+5m = 36

Answer:

y=  (2/5)X +3  

Step-by-step explanation:

when you connect the 2  points the line intercepts  at 3 in the y coordinate

Grab a piece of  graph paper , and plug   the points and connect them

Starting at-5,1  count 2 up 5 right,  2 up 5 right..........

When you  reach y coordinate you are at 3

The slope is 2/5  y-intercept is 3

Answer:To calculate the percent increase in Jonathan's hourly wage, we can use the following formula:

Step-by-step explanation:

Percent Increase = ((New Value - Old Value) / Old Value) * 100

Let's plug in the values:

Old Value (hourly wage) = $7.50

New Value (hourly wage) = $8.25

Percent Increase = (($8.25 - $7.50) / $7.50) * 100

Simplifying the calculation:

Percent Increase = ($0.75 / $7.50) * 100

Percent Increase = 0.10 * 100

Percent Increase = 10%

Therefore, Jonathan's hourly wage increased by 10%.

Answer: To find the highest common factor (HCF) of two polynomials, we can use the Euclidean algorithm for polynomials. The Euclidean algorithm involves dividing the larger polynomial by the smaller polynomial and continuing the division process until the remainder is zero. The last non-zero remainder is the HCF of the two polynomials.

In this case, we have:

2x^3 + x^2 - 3x = (2x^3 - x^3) + x^2 - 3x

= x^3 + x^2 - 3x

Now, we divide x^3 + x^2 - 3x by x^3 - x

x^3 + x^2 - 3x = x^3 - x * (1 + x - 3)

= x^3 - x * (x^2 - 2x + 3)

We cannot simplify this expression further, so the HCF of 2x^3 + x^2 - 3x and x^3 - x is x^3 - x.

Step-by-step explanation: