Marcus is skiing. He is 860 feet up the mountain. He descends to
4507 feet. What is his change in elevation?

Answer:

2,700in

Step-by-step explanation:

3x^2 + 1 = 5x

3x^2 - 5x + 1 = 0

quadratic formula

where ax^2 + bx + c = 0

so

You can see that the 25 - 12 = 13 so the answers are A and B

Answer:

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180   {Angle sum property}

       84 + ∠AOC = 180

              ∠AOC = 180 - 84

∠AOC = 96°

y = 96/2    {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180    {sum of opposite angles of Cyclic  Quadrilateral}

x + y = 180

x + 48 =  180        {from (I) }

x = 180 - 48

x =  132°

Answer:

x =  132°

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180   {Angle sum property}

      84 + ∠AOC = 180

             ∠AOC = 180 - 84

∠AOC = 96°

y = 96/2    {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180    {sum of opposite angles of Cyclic  Quadrilateral}

x + y = 180

x + 48 =  180        {from (I) }

x = 180 - 48

x =  132°

Answer:

D, 100%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hope it helps

Answer:

The total grams of fat that were in both servings based on the information is 27.625 grams.

Step-by-step explanation:

From the information, Lara bought Philly soft pretzels. Each serving has 1.7 grams of fat. She ate 15 servings of the pretzels at lunch and 1.25 servings of the pretzels as a snack.

Therefore, the total grams will be:

Therefore, the total grams of fat that were in both servings based on the information is 27.625 grams.

= (15 × 1.7) + (1.25 × 1.7)

= 25.5 + 2.125

= 27.625 grams

a) The given function is f(x) = x⁴ − 2x² + 3. We can find the local maxima and minima of the function using its first derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xIf f'(x) = 0, then x = 0 or x = ±1.

The critical values of f(x) are −1, 0, and 1.Therefore, the function has local maxima at x = ±1 and a local minimum at x = 0.b) We need to find the intervals of concavity and the inflection point of the given function.

To find the concavity, we will use the second derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xf''(x) = 12x² − 4If f''(x) = 0, then x = ±sqrt(3/2).The critical values of f''(x) are −sqrt(3/2) and sqrt(3/2).

Therefore, the function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) To find the intervals on which the function is increasing or decreasing, we need to analyze the sign of the first derivative:

f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xThe function is decreasing on the interval (−∞, 0) and increasing on the intervals (0, 1) and (−1, ∞).

Thus, the function is increasing on (0, ∞) and decreasing on (−∞, 0).So, the intervals of increase are (0, ∞) and intervals of decrease are (−∞, 0).

Therefore, the simple answer is:

a) The function has a local maximum at x = ±1 and a local minimum at x = 0.

b) The function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) The function is increasing on (0, ∞) and decreasing on (−∞, 0).

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The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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Answer:is there more info

Step-by-step explanation:

Answer:

c^2 - b

Step-by-step explanation:

There are no like terms.

we have independent group means with known population standard deviations (and potentially known population variances), making choice (a) the most suitable option for identifying the hypothesis test in this scenario.

The appropriate choice that identifies the hypothesis test in this scenario is:

a. independent group means, population standard deviations and/or variances unknown

In this case, we are comparing the mean weight loss between two different groups (powder diet and liquid diet) that are independent of each other. The population standard deviations are known, but the population variances are not explicitly mentioned. However, since the standard deviations are given, we can assume that the variances are also known.

Therefore, we have independent group means with known population standard deviations (and potentially known population variances), making choice (a) the most suitable option for identifying the hypothesis test in this scenario.

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Answer:

NOT graph in the picture.

Step-by-step explanation:

This graph DOESN'T accuratly represents the question. The graph starts at 12 feet on the y axis, and starts on x=0 since we need to start on Jan 1st. The line should be at the LOWEST POINT when the x axis says August 1st. You didn't list all the graphs in the image so I don't know the correct graph.

Pattern A is the x axis. The rule Adds 2 .

0 , 2, 4, 6, 8

Part B is the y axis. The rule Adds 3.

0, 3, 6, 9, 12

To sketch the region enclosed by the given curves, we need to first plot each of the curves and then identify the boundaries of the region.The first curve, y = 3/x, is a hyperbola with branches in the first and third quadrants. It passes through the point (1,3) and approaches the x- and y-axes as x and y approach infinity.

The second curve, y = 12x, is a straight line that passes through the origin and has a positive slope.The third curve, y = 1/12 x, is also a straight line that passes through the origin but has a smaller slope than the second curve.To find the boundaries of the region, we need to find the points of intersection of the curves. The first two curves intersect at (1,12), while the first and third curves intersect at (12,1). Therefore, the region is bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.To sketch the region, we can shade the area enclosed by these boundaries. The region is a trapezoidal shape with the vertices at (0,0), (1,12), (12,1), and (0,0). The curve y = 3/x forms the top boundary of the region, while the straight lines y = 12x and y = 1/12 x form the slanted sides of the trapezoid.In summary, the region enclosed by the given curves is a trapezoid bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.

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A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;

A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.

When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.

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The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

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Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

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The value of angle ∠2 is 38 and the value of angle ∠3 is 38.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given angles are,

∠2 = 8x + 6

∠3 = 10x - 2

Equate the angles,

8x + 6 = 10x - 2

10x - 8x = 6 + 2

2x = 8

x = 4

The angles are,

∠2 = 8x + 6

∠2 = 8 x 4 + 6

∠2 = 32 + 6

∠2 = 38

∠3 = 10x - 2

∠3 = 10 x 4 - 2

∠3 = 38

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Answer:

d

Step-by-step explanation:

Answer:oh i feel bad for you

Step-by-step explanation:

Answer:

(3*4*2)-17 = 7

Step-by-step explanation:

u=3 v=4 w=17 just put the number into the formula that you given

3*4*2-w

uv2-w

Variables will always multiply if they’re touching unless they have a sign like the minus between the two in the W

Answer:350 Trouts

Step-by-step explanation:To determine the number of trouts the conservationist expect to be in the lake, you add 120+120 that equal to 240.Then you add 240+40 that equals to 284.Then you add 284+44 that equals to 328.Then you add 328+11 that equals to 339.Finally, you add 339+11 to get your answer:350.

Using Tap working problem solving,

when faucet and drain working together, the time to fill up the tub is 60 minutes.

We have the following information about question,

The time taken by faucet to fill up the tub

= 15 minutes

The time taken by drain to empty the tub

= 20 minutes

we have to calculate the time in which the tub is fully fill the tube with drain open.

Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .

Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.

In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub

Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.

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The correct option is option a) The critical value depends on the number of categories, not the sample size.

The critical value for a chi-square test is determined by the level of significance (alpha) and the degrees of freedom (df). The degree of freedom is a function of the number of categories in the test, not the sample size. Therefore, increasing the sample size does not affect the critical value for a chi-square test.

The chi-square test is a statistical test used to determine whether there is a significant difference between the expected frequencies and the observed frequencies in one or more categories. It is used to test the independence of two categorical variables.

Therefore, The correct option is option a) critical value depends on the number of categories, not the sample size.

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The probability of the team having at most 1 injury in the game can be calculated using a Poisson distribution.

To find the probability of the team having at most 1 injury in a typical football game, we can use a Poisson distribution. The Poisson distribution is commonly used to model the occurrence of rare events, such as injuries in this case.

The parameter for the Poisson distribution is the average number of injuries per game, which is given as 3.2.

Let's denote the random variable X as the number of injuries in a game. We need to calculate the probability P(X ≤ 1), which represents the probability of having at most 1 injury.

Using the Poisson distribution formula, we can compute this probability:

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the Poisson probability mass function, we substitute the values into the formula and calculate the probability.

The result will be the probability that the team will have at most 1 injury in the game.

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Answer:

y = 56.9

Step-by-step explanation:

100 + 13x = 180

13x = 80

x= 80/13

7(80/13) + y = 100

y = 56.9

Answer:

336

Step-by-step explanation:

Stella drove 150 miles this week to and from school in the van.

To determine how many miles Stella drove this week, we can use the given information about the van's gas mileage.

First, we know that the van can drive 60 miles using 10 gallons of gasoline. We can calculate the miles per gallon (mpg) by dividing the miles driven by the gallons of gasoline used:
\(Miles per gallon (mpg) = \frac{60 miles}{10 gallons}  = 6 mpg\)

Now, we know that Stella used 25 gallons of gas driving to and from school this week in the van. To find out how many miles she drove, we can multiply the gallons of gas she used by the van's mpg:
Miles driven = 25 gallons x 6 mpg = 150 miles

So, Stella drove 150 miles this week to and from school in the van. We know this by calculating the van's gas mileage (6 mpg) and multiplying it by the gallons of gas Stella used (25 gallons).

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The inequality can be used to determine the number is 0.4x > x/2 - 15

The term inequality means the unequal relationship between the two or more expressions.

Here we have given that Forty percent of a number is greater than one-half the number decreased by 15.

And we need to find the number that is used to determine the inequality.

While we looking into the given question, let us consider x be that unknown  number.

Then based on the given statement, we have divide it into two parts.

First, forty percent of the number and it can be written as 40%x or 0.4x.

Next is one-half the number is 1/2 x or x/2

When we combine the whole statement,

Then we get the inequality,

=> 0.4x > x/2 - 15

Therefore option (c) is correct.

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Answer:

The Answer is A

Step-by-step explanation:

58(0.2) = 11.6 + 58 = 69.6

it's a

now have a nice DaY

Answer:

25 tubs can be filled.

Step-by-step explanation:

96 goes into 2,400, 20 times so write a 2

2,400 - 1,920 from 96 x 20 = 480

96 goes into 480, 5 times so write 5

480 - 480 is 0

therefore,

the answer is 25 R 0