To prepare for a New Year's Day parade, John practiced marching and playing his tuba for 35 minutes. He took a break and then practiced 45 more minutes. How many minutes did John practice in all?
A. 10 minutes
B. 80 minutes
C. 1,575 minutes
D. 1.3 minutes

Answer:

5.8

Step-by-step explanation:

2.5² + 5.2² = c² ≈ 5.8 units

Answer:

5.8

Step-by-step explanation:

√(2.5^2 + 5.2^2) = 5.77

5.77 to the nearest ones decimal point is 5.8

Answer:

A = 102m squared (Brainiest?)

Equation = b x h / 2

Step-by-step explanation:

A = (12 x 17) / 2

A = 204 / 2

A = 102m squared

The points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.



To find the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1), we need to consider the coordinates of the points on the x-axis.

Since we are dealing with the x-axis, the y and z coordinates of the points will be zero. Let's assume the coordinates of the points on the x-axis as (x, 0, 0).

The distance between two points can be calculated using the distance formula:Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

In this case, the coordinates of point P are (2, -3, -1) and the distance is given as 25‾√. Plugging these values into the distance formula, we get:

25‾√ = √((x - 2)^2 + (-3 - 0)^2 + (-1 - 0)^2)

Simplifying further:

625/4 = (x - 2)^2 + 9 + 1

625/4 = (x - 2)^2 + 10

Solving for x:

(x - 2)^2 = 625/4 - 10

(x - 2)^2 = 625/4 - 40/4

(x - 2)^2 = 585/4

Taking the square root of both sides:

x - 2 = ±√(585/4)

x = 2 ± (√585)/2

Therefore, the points on the x-axis that are at a distance of 25‾√ from point P(2, -3, -1) are x = 2 + (√585)/2 and x = 2 - (√585)/2.

To learn more about distance click here

brainly.com/question/28354920

#SPJ11

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

For more such questions on value, click on:

https://brainly.com/question/843074

#SPJ8

Step-by-step explanation:

I think it will be 1.7

i am not sure

Answer:

\(13\frac{5}{6}\)

Step-by-step explanation:

\(\frac{60}{6}=10\) (low estimate to make later estimates easier)
\(10+\frac{24}{6} =14\) (high estimate, must make lower)
\(14*6\neq 83\) (incorrect estimate)

\(84-83=1\) (correcting estimate)

\(14-\frac{1}{6} =13\frac{5}{6}\) (corrected estimate)

a. The distribution of X, the number of days for a randomly selected trial, is normally distributed (denoted as X ~ N(μ, σ), with a mean (μ) of 16 days and a standard deviation (σ) of 5 days.

b. Using the properties of the normal distribution, we can standardize the value and find the corresponding area under the standard normal curve.

Z = (X - μ) / σ

Z = (18 - 16) / 5 = 2 / 5 = 0.4

Now we can find the probability using a standard normal distribution table or calculator.

P(X ≥ 18) = P(Z ≥ 0.4) ≈ 0.3446

Therefore, the probability that a randomly selected trial lasted at least 18 days is approximately 0.3446.

c. Similarly, we can standardize the values and find the corresponding area under the standard normal curve.

Z1 = (18 - 16) / 5 = 0.4

Z2 = (23 - 16) / 5 = 1.4

P(18 ≤ X ≤ 23) = P(0.4 ≤ Z ≤ 1.4)

Using a standard normal distribution table or calculator, we can find the area under the curve between these two z-scores.

P(18 ≤ X ≤ 23) = P(1.4) - P(0.4) ≈ 0.4192 - 0.3446 ≈ 0.0746

Therefore, the probability that a randomly selected trial lasted between 18 and 23 days is approximately 0.0746.

d. To find the number of days within which 84% of all these types of trials are completed, we need to find the corresponding z-score that corresponds to the cumulative probability of 0.84.

Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.84, which is approximately 1.0364.

We can then use the formula for standardizing to find the number of days:

Z = (X - μ) / σ

1.0364 = (X - 16) / 5

5  1.0364 = X - 16

5.182 = X - 16

X = 21.182

Rounding to the nearest whole number, 84% of all these types of trials are completed within 21 days.

Learn more about Standard Deviation here :

https://brainly.in/question/8940927

#SPJ11

The null hypothesis (H0) is that there is no difference in the average time taken to read a book before and after the program.

A middle school teacher conducts a study to evaluate the impact of a reading rewards program on the time taken by students to read a book. To analyze the data, the teacher will use a two-sample t-test. The population parameters being compared are the average time taken to read a book before and after the program.

The level of significance is a threshold value that determines the probability of making a Type I error (rejecting a true null hypothesis). It is usually denoted by  (alpha) and is typically set at 0.05, which means there is a 5% chance of making a type I error. However, the specific level of significance will depend on the teacher's chosen value.

In this case, the t-test should be a paired t-test because the same group of students is being compared before and after the program, making the two samples dependent on each other.

The null hypothesis (H0) is that there is no difference in the average time taken to read a book before and after the program. In other words, the average difference between the pre- and post-program reading times is equal to zero.

Visit here to learn more about null hypothesis:

brainly.com/question/28920252

#SPJ11

Answer:

The y-value sequence on 1  linear. The x-value sequence on 1 is also linear.

The y- value sequence on 2 is linear. The x-value sequence on 2 is also linear.

The y-value sequence on 3 is linear. However I now think you are referring to the domain and range also linear graphs and non linear graphs, maybe I've confused you.

Step-by-step explanation:

So the difference between an exponential function and a linear function is whether it is arithmetic sequence or geometric sequence or just another sequence.

arithmetic is if the numbers are added by the common difference.

geometric is if the numbers are multiplied by the common ratio.                                                      

Answer:

Start at 13, then count 5 more to the right. You will end at 18, which is your answer.

Step-by-step explanation:

Answer:

the anser is 18

Step-by-step explanation:

you would start at the mark that indicates 13 and go up or to the right 5 more marks or to whichever mark indicates 18

The running back gained a total of 80.3 yards during the game. The correct answer is option b 80.3 yards.

Let's solve the given problem. Since the running back gained an average of 12.1 yards per carry, the total yards he gained in the first half of the game can be given as follows:

Total yards gained in the first half of the game = Average yards gained per carry x Number of carries

= 12.1 x 8= 96.8 yards

Now, the running back had a net loss of 16.5 yards in the second half of the game.

Total yards lost in the second half of the game = 16.5 yards

Therefore, the total yards gained during the game can be found as the difference between the total yards gained in the first half of the game and the total yards lost in the second half of the game.

Total yards gained during the game = Total yards gained in the first half of the game - Total yards lost in the second half of the game= 96.8 - 16.5= 80.3 yards

Hence, the running back gained a total of 80.3 yards during the game.

Therefore, the correct option is B) 80.3 yards.

know more about Total yards

https://brainly.com/question/30412879

#SPJ11

Answer:

Let's say "x" is the number we're trying to find.

According to the problem, we know that 54 is 60% of that number.

So we can set up an equation:

54 = 0.6x

To solve for x, we need to isolate it on one side of the equation.

Divide both sides by 0.6:

54/0.6 = x

Simplify:

90 = x

Therefore, 54 is 60% of 90.

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Step 1. 54 = 60% × Y

Step 2. 54 = 60/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

Step 3. Y = 54 × 100/60

Step 4. Y = 54 × 100 ÷ 60

Step 5. Y= 5400 ÷ 60

Step 6. Y = 90

<3

if you don't understand please ask in the comment section

By the Fundamental Theorem of Algebra, the function, f(x) = 5x⁶ + 2x³ −4x + 1, has exactly 6 complex zeros (counting multiplicities)

From the question, we are to determine the number of zeros the given function has

From the given information,

The given function is

f(x) = 5x⁶ + 2x³ −4x + 1

From the Fundamental Theorem of Algebra which states that any polynomial function of degree n has exactly n complex zeros (counting multiplicities).

In this case, the degree of the polynomial function f(x) = 5x⁶ + 2x³ - 4x + 1 is 6.

Hence, the function has exactly 6 complex zeros (counting multiplicities).

Learn more on Determining number of zeros here: https://brainly.com/question/28466392

#SPJ1

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

Know more about missing number here:

https://brainly.com/question/23171011

#SPJ11

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

The presence of maximum and minimum on the quadratic functions in this problem are given as follows:

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The coefficient a determines if the quadratic function has a maximum or a minimum, as follows:

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

The age of the tree is 10568.22 years.

What is time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

Given, it contains 21% of its carbon14.

A(t) = A(o)(1/2)^(t/5600)

0.21Ao = Ao*(1/2)^(t/5600)

(1/2)^(t/5600) = 0.21

Take log on both side

t/5600 = log(0.21)- log (0.5)

t/5600 = 1.889

t = 10568.2

To know more about time, visit:

https://brainly.com/question/26669901

#SPJ1

The closer the correlation coefficient is to +1, the more closely the data points will be clustered around the straight line.

The correlation for which the data points would be clustered most closely around a straight line is a strong positive correlation. In this type of correlation, as one variable increases, the other variable also increases at a consistent rate, resulting in a straight line when the data points are plotted. The closer the correlation coefficient is to +1, the more closely the data points will be clustered around the straight line.

For the following correlations, the data points would be clustered most closely around a straight line when the correlation coefficient is closest to 1 or -1. A positive correlation near 1 indicates a strong positive relationship, while a negative correlation near -1 indicates a strong negative relationship. In both cases, the data points will be tightly clustered around a straight line.

To know more about correlation visit:

https://brainly.com/question/31588111

#SPJ11

a correlation coefficient of +0.95 or -0.95 would result in the data points being clustered most closely around a straight line.

The strength and direction of the correlation determine how closely the data points cluster around a straight line. In general, a stronger correlation indicates that the data points are more closely clustered around a straight line.

Therefore, for the following correlations, the data points would be clustered most closely around a straight line in the case of a correlation coefficient of +0.95 or -0.95. These correlation coefficients indicate a strong positive or negative linear relationship between the variables, respectively. The data points would be tightly clustered around a straight line with little scatter, indicating a high degree of linear association between the variables.

Correlation coefficients of +0.70, -0.70, and 0.10 indicate moderate positive, moderate negative, and weak positive correlation, respectively. While these correlations also show some degree of clustering around a straight line, it would not be as tight and pronounced as with correlation coefficients of +0.95 or -0.95.

In summary, a correlation coefficient of +0.95 or -0.95 would result in the data points being clustered most closely around a straight line.

to know more about correlation visit:

brainly.com/question/30524977

#SPJ11

Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

Answer: t = 5.7 hours

Step-by-step explanation:

y=56+7.1x where x is the time spent studying.  If y=92, this equation would preduct that the student spent t hours studying.  Find t:

92=56+7.1x

36=7.1t

t = 5.07 hours to achieve the 92 score.

Answer: The number of hours a student should spend on their homework to expect a score of 97 on the quiz

Step-by-step explanation:

Answer:

Explanation:

The match of the terms and definitions is given in the image below:

(1)Factorial

The factorial of a number is defined as follows:

(2)Combination

When the order of arrangement does not matter, the problem is a combination problem.

(3)Sample Space

The sample space of an event is the set of all the possible outcomes in that event.

(4)Independent Events

If two events, A and B are independent, then:

What this means is that the probability of one event does not affect the other event, so, you simply multiply the individual probabilities.

(5)Outcome

When a coin is flipped, the possible events (Heads or Tails) are referred to as the outcome of the event.

(6)Counting Principle

The number of possible ways/outcomes of an event is determined by using the counting principle.

(7)Permutation

When the order of arrangement matters, the problem is a permutation problem.

(8)Dependent Events

For any two dependent events, A and B, the conditional probability of B given A is determined using the formula::

(9)If Renee rolls a six-sided cube, if A is the event of rolling an even number, the sample space for A is:

Therefore, the complement of A is:

For considering an equation, x² - 1 = p, 1 using the modulo concept 1 and (p -1) are the only elements of the field that are their own multiplicative inverse, that is (p - 1)! ≡ -1(mod p).

Let x be one of integers 1,2,3,4,........,(p-1). So, no two of integers 1x, 2x, ..,(p-1)x are congruent modulo p because if sx ≡ tx(mod p), where s,t integers and 0≤ s< t≤ p-1, from this we get, s ≡t(mod p) ....... a contradiction. And also none of these integers divisible by p. Since , x is prime to p so we cancel x from the congruent sx≡ tx( mod p). This Shows that in some order the integers x,2x,3x,…..(p−1)x are congruent to 1,2,..(p-1), modulo p. Thus, for every x ,there is one and only one x such that x/x ≡ 1(mod p). Now, x² ≡ 1 ( mod p) holds if p devide x² - 1 that is p(x² - 1) and this is hold when p|(x - 1 ) or (x+ 1). As, p is prime and p< x this shows that here two case aries either x= 0 or x= p - 1. Therefore, 1 and (p-1) are the only values of x for which x.x ≡1 ( mod p). If we cancel integers 1 and (p-1) then the other integers 2,3,4,.... (p- 2) are the grouped into the pairs x.x , for which x.x ≡ 1 ( mod p) holds. Now, multiplying, (p -3)/2, pairs of such congruence ,we get, 2,3,... (p-2) ≡ 1( mod p)

=> (p- 2)! ≡ 1(mod p) ( multiple by p-1)

=> (p -2)( p - 1)! ≡ ( p - 1) ( mod p)

=> (p - 1)! ≡ -1 ( mod p)

so, (p - 1)! ≡-1( mod p)

(p- 1 ) congruent modulo p is equivalent to -1 modulo p. Hence, the theorem is proved if p is prime then (p - 1)! ≡ -1(mod p).

For more information about multiplicative inverse, refer:

https://brainly.com/question/21973802

#SPJ4

Answer

32

Step-by-step explanation:

fffff

The hypotenuse of the right triangle is found to be 6√2 ft.

The formula is as follows:

H² = B² + P²

where, H is the hypotenuse.

B is the base

P is the perpendicular.

In the given question, hypotenuse is to be calculated.

Lets, base B = 6 ft and

Perpendicular P = 6 ft.

Thus, put the values in the formula;

H² = 6² + 6²

H² = 2×6²

Taking square root on both sides.

H =  6√2

Thus, the value of the hypotenuse if the right angled triangle is found as  6√2 ft.

To know more about the Pythagorean theorem, here

https://brainly.com/question/231802

#SPJ9

The calculator short hand notations are;

a) -4E3

b) -3E4

c) 3E4

d) 4E3

We have to note that the calculator short hand notation has to do with the manner in which the calculator would show an exponential function when we are solving the mathematical problem using the calculator.

It is common to see that the calculator would display the letter E to stand in for the mathematical figure * 10^n. The letter that is depicted by n would then be written at the right hand side of the letter E.

Learn more about scientific notation:https://brainly.com/question/18073768

#SPJ1

distribute the -5 to the items inside of the parenthese

-10x -20

Answer:

-10x-20

Step-by-step explanation:

You are multiplying EVERYTHING in the (  ) by -5

1) \(4x+5=-6x+5\) (given)

2) \(4x=-6x\) (subtraction property of equality)

3) \(10x=0\) (addition property of equality)

4) \(x=0\) (division property of equality)