A toy car was kicked toward the target. the horizontal component of velocity was 8 m/s and the vertical component was 6m/s. calculate the magnitude of the resultant velocity of the soccer ball.

Answer:

36000

Step-by-step explanation:

Given the following

Principal = 60,000

Rate = 15%

Time = 4years

Using the simple interest formula

SI = PRT/100

SI = 60000*15*4/100

SI = 600 * 60

SI = 36,000

Hence the interest paid after 4 years is 36000

Answer = 225

To round a number to the nearest whole number we have to look at the digits that are after the decimal point.

If the first digit after the decimal point is greater than 5, we have to add 1 to the whole number,

In this case:

224.91

Digit after the decimal point= 9

9>5

so:

224+1 =225

Answer:

225

Step-by-step explanation:

9 is 5 or greater, meaning we round up. Therefore, 225 is the answer.

Answer:

Step-by-step explanation:

If

τ

1

and

τ

2

are two typologies on non-empty set

X

, then ………………. is topological space.

Answer:

1739999200

Step-by-step explanation:

I am sorry, but I am simply not putting the explanation for that...

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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The table is an illustration of a quadratic regression model

The function that best models the data is y = -60.4x^2 +348.1x -334.2

To determine the function that models the data, we make use of a graphing calculator.

Using the graphing calculator, we have the following calculation summary

a = -60.4

b = 348.1

c = -334.2

A quadratic regression model is represented as:

y = ax^2 + bx + c

So, we have:

y = -60.4x^2 +348.1x -334.2

Hence, the function that best models the data is y = -60.4x^2 +348.1x -334.2

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Answer:

12.50k

Step-by-step explanation:

I came to this answer as k is the number of hours, and 12.50 is how much per hour.

The choice which best describes how to measure the center of these data is; both centers are best described by the median.

This is a measure of central tendency which helps determine the middle value in a data by rearranging the data either in an ascending order or a descending order.

Mean on the other hand, is used to find the best average of a data set.

Therefore, the mean cannot be used to find the center of the data.

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The measure of each new angle is 26°

Answer: A and C

Step-by-step explanation:

Abs. val is distance from 0, and 100 and -100 are both the same distance from 0, so x=100 and x=-100.

the probability that Meena will win  = 8/9

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.

Meena must triumph in the subsequent turn or the one after it in order to win; else, she loses. The likelihood of that is determined by deducting the likelihood of the complimentary event, Bob winning in the following two turns, from one. The likelihood of Bob winning the following two turns may be calculated by taking the square of the probability of him winning on one turn because each turn is independent of the others; hence, it is

= (1/3)^2

= 1/9

the probability that Meena will win = 1- 1/9

                                                           = 8/9

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer:

5.29150262213

Step-by-step explanation:

I hope this answer has helped you

Answer:

x=3

y=12

Table:

x=3,6,9,12

y=12,24,36,48

Step-by-step explanation:

Answer:

C.

Cheesecakes     Blocks

3                           12

4                           16

5                          20

Step-by-step explanation:

3 cheesecakes for every 12 blocks of cheese

is the same as

1 cheesecake for every 4 blocks of cheese

The table must have in each line 4 times more blocks than cheesecakes.

C.

Cheesecakes     Blocks

3                           12

4                           16

5                          20

The probability that a student learns more than 11 years is approximately 0.0548 or 5.48%

To find the probability that a student learns more than 11 years, we need to calculate the area under the normal distribution curve to the right of 11.

Given that the mean of the distribution is 7 years and the standard deviation is 2.5 years, we can standardize the value of 11 using the formula:

z = (x - μ)/σ

= (11 - 7)/2.5

= 1.6

We can then use a standard normal distribution table or calculator to find the probability that a standard normal random variable is greater than 1.6. Using a calculator, we get:

P(Z>1.6) = 0.0548

Therefore, the probability that a student learns more than 11 years is approximately 0.0548 or 5.48%

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Answer:

$1 bills = x and $5 bills = y

x+y = 17 - that expresses the number of bills.

1x + 5y = 53.

Solve the first for x in terms of y and substitute that into the second.

x = 17 - y

17 - y + 5y =53

17 +4y = 53

4y = 36

y = 9

Substitute that back into the first equation: x + 9 = 17 and then x = 8

Answer: B or D

Step-by-step explanation:

Karens ration is 5:15 whilst chens is 6:19

1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.

Answer:

Chen: 6/19

Step-by-step explanation:

Anne: 2/14 = 0.142

Karen: 5/15 = 0.133

Janice: 4/14 = 0.285

Chen: 6/19 = 0.316

Answer:

you're question is not clear enought

Step-by-step explanation:

I'm so confused.

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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A confidence interval for the mean is said to be symmetrical around the population mean. Symmetry means that the central tendency measures are equally positioned about the middle of the interval.

When constructing a confidence interval, the interval width on either side of the point estimate is equal (assuming a symmetric distribution). The critical values, the margin of error, and the point estimate are all equidistant from the midpoint of the interval.

This is why a confidence interval for the mean is said to be symmetrical around the population mean. Therefore, a confidence interval for the mean is symmetrical around the population mean as long as the population is normally distributed.

Also, it is worth noting that a confidence interval can only be symmetrical if the sample size is large enough. In the case of a smaller sample size, the distribution of the confidence interval may not be entirely symmetrical and may skew to the left or right. The larger the sample size, the more symmetrical the distribution will be.

A confidence interval is typically expressed in a specific range, such as 95 percent, which means that the population mean is expected to fall within that range 95 percent of the time. In conclusion, the symmetry of a confidence interval around the population mean is important for statistical inference because it ensures that the confidence level is maintained.

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The limit of lim (x − 9)/ (x² − 81)  using the l'Hospital's Rule is 1/18.

                  x→9

We can directly substitute the value 9 in the given limit expression.

We get,

lim (x − 9)/ (x² − 81) = (9 - 9)/(9^2 - 81)

= 0/0

The given limit is in indeterminate form. We can apply L'Hospital's rule here.

Differentiating both the numerator and the denominator with respect to x, we get,

lim (x − 9)/ (x² − 81) = lim (1)/(2x)

Now we can directly substitute the value of x in the above expression.

lim (x − 9)/ (x² − 81) = lim (1)/(2x) = 1/18

Therefore, the limit of the given expression is 1/18.

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Answer: 11.7

Explanation:

-1.7-(-13.4)=11.7

A function is considered continuous if it has no abrupt breaks or gaps. For a function to be continuous, it must be defined at each point in the interval. The function can be defined as follows:f(x) = {22sin(x)/x for x<0, a for x=0, bcos(x) for x>0}For this function to be continuous, we must show that it is continuous at x=0. We use the limit to prove this.Here, lim(x->0) 22sin(x)/x = 22 x 1 = 22, which is finite.Hence, we can replace 'a' with '22'.

Therefore, a = 22.Now, we need to calculate the value of 'b'. For f(x) to be continuous at x=0, it must be true that lim(x->0) f(x) = f(0).We can calculate lim(x->0) f(x) as follows:lim(x->0) f(x) = lim(x->0) 22sin(x)/x = 22Now, we need to calculate f(0).f(0) = a = 22Since the limit and function value at x=0 are equal, the function is continuous at x=0. Therefore, we can replace 'b' with '22'. Hence, b = 22.Therefore, a = 22 and b = 22 are the values that make the given function continuous.

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The expression 49e² + 42c(4d+3) + 9(4d+3)² is factored and simplified as 49e² + (42c + 9)(4d+3).

The expression x+6 + 4 is simplified as x + 10.

Factor and Simplify the Expression

To factor and simplify the expression 49e² + 42c(4d+3) + 9(4d+3)², we'll break it down step by step.

Step 1: Factor out the common factor (4d+3) from the terms 42c(4d+3) and 9(4d+3)²:

49e² + (42c + 9)(4d+3)

Step 2: Simplify the expression further:

49e² + (42c + 9)(4d+3)

And that's the simplified expression.

Part 2: Volume Expression Simplification

To simplify the expression x+6 + 4, we'll combine the terms.

Step 1: Combine like terms:

x + 6 + 4

Step 2: Simplify the expression:

x + 10

So, the simplified expression is x + 10.

The expression 49e² + 42c(4d+3) + 9(4d+3)² is factored and simplified as 49e² + (42c + 9)(4d+3).

The expression x+6 + 4 is simplified as x + 10.

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Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

Answer:

y(y + 5) = 750 and 750 - y(y - 5) = 0

Step-by-step explanation:

let the length of the room be y,

l = y

w = y - 5 (width is 5 unit less than length)

Area = l . w

750 = y(y - 5)

750 - y(y - 5) = 0

Alternatively,

let width be = y

w = y

l = y + 5 (width is 5 feet less means length is 5 feet more than width)

Area = l . w

750 = y(y + 5)

Hopefully this answer helped you!

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°