(1.2)^2 = 1.44
True or False

Answer:Algebra Questions, for Grade 10, on simplifying, factoring, evaluating expressions and solving equations are presented along with their answers

Step-by-step explanation:

I do not know if this helps or not but here you go!

Answer:

This is graph right

Step-by-step explanation:

is this maths or economics

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

The x-intercept is the value of x when y is 0

So you need to substitute:

0 = 4x + 7

-7 = 4x

-7/4 = x

(-7/4,0)

Similarly, the y-intercept is the value of y when x is 0

So:

y = 4x + 7

y = 4(0) + 7

y = 7

(0,7)

Answer:

peter is correct

Step-by-step explanation:

martha is incorrect because if you multiply 18 by 2 you would get 36 but after 18 comes 27 proving her statement wrong.

Answer:

62

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

64 + [40 ÷ (4 - 7 + 8)] - 10

Step 2: Evaluate

And we have our final answer!

Answer:

32 feet

Step-by-step explanation:

looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.

Mathematically meaning 12.4 = 2(6.2)

So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.

So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet

Mathematically, we can calculate the perimeter of a rectangle using the formula;

P =2 (l + b)

Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet

Answer: 32

Step-by-step explanation: looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.

Mathematically meaning 12.4 = 2(6.2)

So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.

So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet

Mathematically, we can calculate the perimeter of a rectangle using the formula;

P =2 (l + b)

Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet

The area of q is 20.

The area of a parallelogram determined by two vectors u and v is given by the magnitude of the cross product of u and v: |u x v|.

So, the area of the parallelogram p is:

| [4;1] x [3;-1] | = |(4)(-1) - (1)(3)| = |-7| = 7

To find the area of q, we apply the transformation T to each of the vertices of p and then compute the area of the resulting parallelogram.

First, we find the images of the vertices of p under T:

T([4;1]) = [3 1;1 2][4;1] = [16;6]
T([3;-1]) = [3 1;1 2][3;-1] = [6;1]

The sides of the parallelogram q are determined by the vectors T([4;1]) - T([3;-1]) = [10;5] and T([3;-1]) - [0;0] = [6;1].

The area of q is the magnitude of the cross product of these vectors:

| [10;5] x [6;1] | = |(10)(1) - (5)(6)| = |-20| = 20

Therefore, the area of q is 20.

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The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer: (x-6)2 + (y+3)2=4

Step-by-step explanation:

I’m smart like dat cuh

The answer is (x-6)^2+(y+3)^2=4

Answer:

I believe the answer is 1/2

Step-by-step explanation:

4*3=12+2=14,14/3

1*3=3+1=4

14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2

I got the 6/3 by dividing 18 by 2 and 3 by 1

Answer:

4

Step-by-step explanation:

If you know what Pemdas is then you must do dividing first.

1 1/3 divided by 2 is 2/3. 4 and 2/3 minus 2/3 equals 4.

Hope this helps. :)

The program segment is not correct with respect to the given initial and final assertions.

To verify that the program segment x := 2; z := x * y; if y > 0 then z := z + 1 else z := 0 is correct with respect to the initial assertion y = 3 and the final assertion z = 6, we need to check that the program produces the expected values of x, y, and z at every step.

1. Initial assertion: y = 3

This is given in the problem statement.

2. x := 2

After executing this statement, we have x = 2.

3. z := x * y

After executing this statement, we have z = x * y = 2 * 3 = 6.

4. if y > 0 then z := z + 1 else z := 0

Since y = 3 > 0, this condition is true and we execute the first branch of the if statement. Therefore, we have z := z + 1, which gives z = 6 + 1 = 7.

5. Final assertion: z = 6

This assertion is not satisfied, since we have z = 7 instead of z = 6.

Therefore, the program segment is not correct with respect to the given initial and final assertions.

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The vertex of the parabola is located at (210,138) because the parabola opens downwards due to the negative "a" coefficient. The highest point of the ball's flight was 138 feet above the ground, which corresponds to the y-value of the vertex.4

The equation y = -0.003(x - 210)2 + 138 can be used to describe the flight path of a ball that was hit by Vladimir in the ballpark. A computer tracked the ball's trajectory in feet and modeled its flight path as a parabola. It is noted that the vertex of the parabola is (210,138), and that the highest the ball traveled was 138 feet.

A parabola is a symmetrical U-shaped curve. The vertex of the parabola, which is the lowest or highest point on the curve, depends on the coefficient "a" in the quadratic equation that models the parabola. A positive "a" coefficient will result in a parabola that opens upwards, while a negative "a" coefficient will result in a parabola that opens downwards.

In the given equation, the "a" coefficient is negative, which means that the parabola will open downwards. The vertex is located at (210,138) because these values correspond to the minimum y-value on the parabola. Therefore, we can conclude that the ball reached its highest point at a height of 138 feet above the ground.


In conclusion, Vladimir hit a ball in the ballpark whose trajectory was tracked by a computer and modeled as a parabola using the equation y = -0.003(x - 210)2 + 138. The vertex of the parabola is located at (210,138) because the parabola opens downwards due to the negative "a" coefficient. The highest point of the ball's flight was 138 feet above the ground, which corresponds to the y-value of the vertex.

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Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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The computation of a limit is required to evaluate improper integrals.

Here, the steps for evaluating the two given improper integrals have been discussed.

(a)  ∫ [0, infinity] xe−x/2 dx

To compute this integral, we use integration by parts, which states that

∫uv′dx = uv − ∫u′vdxLet us set u = x and v′ = e−x/2. So,u′ = 1 and v = −2e−x/2

Therefore, the integral can be written as

∫xe−x/2dx=−2xe−x/2|∞0+∫∞0 2e−x/2 dx= 2xe−x/2|∞0= 2(0) - 2(0) + 2∫∞0e−x/2dx= 2(2)= 4

Thus, ∫ [0, infinity] xe−x/2 dx = 4.(b) ∫ [0, 10] 10−x5 dx

To solve this integral, we first write 10−x5 as 1/55(10−x)5, which makes the integrand easy to integrate.

Thus,∫ [0, 10] 10−x5 dx= 1/55 ∫ [0, 10] (10−x)−5 dx= -1/44(10−x)−4|10_0= 1/44(1/10) - 1/44(104) = 11/200

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Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + x + 45 + 2x + 40 = 180

5x + 85 = 180 ( subtract 85 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

Then

2x = 2 × 19 = 38°

x + 45 = 19 + 45 = 64°

2x + 40 = 2(19) + 40 = 38 + 40 = 78°

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Given A cube has a side length = s = 3/4

We will find the volume of the cube (V)

So, the answer will be Volume = 27/64

Answer:

Step-by-step explanation:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

In order to understand the question in depth, we first need to understand what yields are and what is a three-step process. What is yields refer to the amount of product obtained in a chemical reaction.

typically expressed as a percentage of the theoretical amount that could be obtained. What is a three-step process?A three-step process is a series of three steps required to achieve a specific goal or outcome. Now let's move on to the question.

A three-step process has yields of 0.9, 0.86, and 0.71 for steps 1, 2, and 3, respectively. The overall yield of the process can be calculated by multiplying the yields of each step. Therefore, the overall yield of the three-step process can be calculated by multiplying.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

The probability P(A or B) is 3/5 or 0.6. Therefore, the probability of selecting a prime number or an odd number is 3/5 or 0.6.

To calculate the probability P(A or B), we first need to determine the number of outcomes for each event and the total number of outcomes in the experiment.
Event A: Obtaining a prime number.
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The prime numbers between 0 and 9 are 2, 3, 5, and 7. So, there are 4 prime numbers in this range.
Event B: Obtaining an odd number.
Odd numbers are numbers that cannot be divided evenly by 2. The odd numbers between 0 and 9 are 1, 3, 5, 7, and 9. So, there are 5 odd numbers in this range.
Since 3, 5, and 7 are both prime and odd numbers, we must account for this overlap, so we subtract these three from the total.
Total number of outcomes (digits 0 through 9) = 10
Total outcomes of A or B = (prime numbers) + (odd numbers) - (overlap) = 4 + 5 - 3 = 6
Now, we calculate the probability P(A or B) as the ratio of the total outcomes of A or B to the total number of outcomes in the experiment:
P(A or B) = (Total outcomes of A or B) / (Total number of outcomes) = 6/10 = 3/5
So, the probability P(A or B) is 3/5 or 0.6.

To solve this problem, we need to first identify the prime numbers and odd numbers among the digits 0 through 9:
Prime numbers: 2, 3, 5, 7
Odd numbers: 1, 3, 5, 7, 9
We can see that the numbers 3, 5, and 7 are both prime and odd, so we need to be careful not to count them twice when calculating the probability of events A or B.
To find the probability of event A (obtaining a prime number), we count the number of prime numbers among the digits 0 through 9, which is 4. The probability of selecting a prime number is therefore 4/10 or 2/5.
To find the probability of event B (obtaining an odd number), we count the number of odd numbers among the digits 0 through 9, which is 5. The probability of selecting an odd number is therefore 5/10 or 1/2.
To find the probability of event A or B (obtaining a prime number or an odd number), we need to add the probabilities of the two events and then subtract the probability of selecting both a prime and an odd number (i.e., the probability of selecting 3, 5, or 7):
P(A or B) = P(A) + P(B) - P(A and B)
         = 2/5 + 1/2 - 3/10
         = 4/10 + 5/10 - 3/10
         = 6/10
         = 3/5
Therefore, the probability of selecting a prime number or an odd number is 3/5 or 0.6.

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Answer:

it doesn't take much time if many people who knows the answer sees it

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.

We have the following number - 5.80405471744

We have to round it off to the nearest thousandth.

The rules are as follows -

According to question, we have -

Number = 5.80405471744

We have to round it off to nearest thousand, which means we have to keep three digits after decimal. Therefore -

Rounded Number = 5.804 (Using the rule 2)

Hence, the number 5.80405471744 when rounded to nearest thousandth is equal to 5.804.

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The true mean additional tax owed for estate tax returns is between approximately $3056 and $3832. This means option C is the correct answer: One can be 90% confident that the mean additional tax owed is between the lower and upper bounds.

Based on a random sample of 100 audited estate tax returns, the mean amount of additional tax owed was estimated to be $3444, with a standard deviation of $2504. Using this data, a 90% confidence interval for the mean additional amount of tax owed can be calculated. The lower bound of the confidence interval is approximately $3056, and the upper bound is approximately $3832. Therefore, one can be 90% confident that the true mean additional tax owed for estate tax returns falls between these two values.

To construct the 90% confidence interval, we can use the formula:

Confidence Interval = mean ± (critical value) * (standard deviation / sqrt(sample size))

Since the sample size is large (n = 100), we can assume a normal distribution and use the z-score critical value. The critical value for a 90% confidence interval is 1.645.

Plugging in the values, we have:

Confidence Interval = $3444 ± 1.645 * ($2504 / sqrt(100))

= $3444 ± 1.645 * ($2504 / 10)

= $3444 ± 1.645 * $250.4

= $3444 ± $411.86

Calculating the lower and upper bounds:

Lower bound = $3444 - $411.86 ≈ $3056

Upper bound = $3444 + $411.86 ≈ $3832

Therefore, we can say with 90% confidence that the true mean additional tax owed for estate tax returns is between approximately $3056 and $3832. This means option C is the correct answer: One can be 90% confident that the mean additional tax owed is between the lower and upper bounds.

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