please find the value of x in the figure

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:

the answer of this question is

the coffiecent is p

The plane is most likely taking off.The two vectors provided, position and velocity, indicate that the plane is moving eastward with a velocity of 150 m/s and is ascending with a vertical velocity of 21m/s.

This indicates that the plane is taking off, and not just touching down, ascending, or in level flight.

The position and velocity vectors of the plane indicate that the plane is moving in an eastward direction with a velocity of 150 m/s, and is also ascending with a vertical velocity of 21 m/s. This indicates that the plane is taking off, and not just touching down, ascending, or in level flight. This means that the plane is most likely taking off from the origin and is in the process of gaining altitude.

the complete question is :

( figure attached below )

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Answer:

D is the answer

Step-by-step explanation:

plug the -2's in line 1 & 2 then 4 in 2 and 3

the 1&2 , and the 2 and 3 numbers have to match

Using the conditions for continuity, we find that the function D.) is continuous.

A function f(x) is said to be continuous at a point x = a, in its domain if the following three conditions are satisfied:

Since for -4 <= x < -2, -2 <= x < 4 and 4 <= x <= 8, the function f(x) is defined by straight lines , the function will be continuous for all x ≠ -2 and 4. Now for x = -2, 4, let us check all the three conditions:

A.

f(-2) = 0.5 * (-2)² = 2

left hand limit = -2 + 6 = 4

right hand limit = 0.5 * (-2)² = 2

Since, left hand limit is not equal to right hand limit, the function is not continuous at x = -2. No need to check further.

B.

f(-2) = 0.5 * (-2)² = 2

left hand limit = -2 -2 = -4

right hand limit = 0.5 * (-2)² = 2

Since, left hand limit is not equal to right hand limit, the function is not continuous at x = -2. No need to check further.

C.

f(-2) = 0.5 * (-2)² = 2

left hand limit = -2 + 4 = 2

right hand limit = 0.5 * (-2)² = 2

Since, left hand limit is not equal to right hand limit is equal to f(-2), the function is continuous at x = -2.

f(4) = 25 - 3*4 = 13

left hand limit = 0.5 * (4)² = 8

right hand limit = 25 - 3*4 = 13

Since, left hand limit is not equal to right hand limit, the function is not continuous at x = 4.

D.

f(-2) = 0.5 * (-2)² = 2

left hand limit = -2 + 4 = 2

right hand limit = 0.5 * (-2)² = 2

Since, left hand limit is not equal to right hand limit is equal to f(-2), the function is continuous at x = -2.

f(4) = 20 - 3*4 = 8

left hand limit = 0.5 * (4)² = 8

right hand limit = 20 - 3*4 = 8

Since, left hand limit is not equal to right hand limit is equal to f(-2), the function is continuous at x = 4.

Thus, the function is continuous.

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

triangle UTV similar with triangle YZX

Step-by-step explanation:

that mean UT/YZ = TV/ZX = UV/YX is the answer

Answer:

-9/5 or -1.8

Step-by-step explanation:

3x+27=-2x+18 add 2x to both side

5x+27=18 minus 27 from both side

5x=-9 divide 5

x=-9/5, in decimal form=-1.8

Answer:-9/5

Step-by-step explanation:

3x + 27 = -2x + 18

    -27           -27

-3x = -2x - 9

+2x   +2x

5x = -9

5x/5 = -9/5

x= -9/5                

The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

The graph is attached.

Both equations are in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept b

The graph of the first equation intersects the y-axis at +3, and has a slope (rise/run) of -1/2. That is, it decreases 1 unit for each 2 units to the right.

The graph of the second equation intersects the y-axis at -4, and has a slope of +3. It will increase 3 units for each unit to the right.

The point of intersection of the graphed lines is (2, 2).

The solution is (x, y) = (2, 2).

Answer:

Step-by-step explanation:

You could change all the fractions so that they have the same denominator (bottom number) and then compare the numerators (top numbers) or change the numbers to decimals to compare them (divide the top number by the bottom number)

0 is 0/6 is 0.000

1/6 is 0.166

1/2 is 3/6 is 0.500

Maybe you can see that 1/6 is closer to 0 than to 1/2

3/7 is 0.42857 is pretty close to 3/6 which is 0.50000, right, that is 1/2.

So, rough estimate, the person spent 0 hrs + 1/2 hr

organizing...total= 1/2 hr

Step-by-step explanation:

are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

The protractor in the picture is positioned correctly - YAY!!

Since we want the measure of ∠BCA, we'll look at the angle from side CB (this is the 0° side) up to side CA. Side CA goes through the numbers 30 and 150, but 150 is based on going backward from 180°, not forward from 0°.

Answer:

30 is the median

Step-by-step explanation:

Answer:

30

Explanation:

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1  5/6

What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6  fruit jucie in  one min

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Answer:

A: P = 20n +415

B: P = 20t + 375

C: Both equations agree, and in 2018 there will be about 535 wolves

D: The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

Step-by-step explanation:

P = Number of wolves

n = number of years since 2012

we know in 2012 there were 415 wolves in the sanctuary, and that the sanctuary has been growing about 20 wolves a year.

we know this is correct because we are trying to create an equation that represents the number of wolves(p) throughout the years(n), so we are trying to figure out what P equals. We know that the sanctuary grows about 20 wolves a year, and n is the number of years since 2012. As well as obviously, we add 415 to our equation because there is already 415 wolves in the sanctuary.

P = Number of wolves

t = number of years since 2010

x = unknown variable(number of wolves in 2010)

Here we are trying to identify what x is, in 2012 there was 415, each year the number of wolves grew by 20.

P = 40 - 415 = 375

We now know there were 375 wolves in 2010

P = 20n + 415

(To find n all we do is subtract 2018 and 2012, which equals 6.)

P = 20(6) + 415

(Solve)

P = 120 + 415

Our first equation tells us that in 2018 there will be 535 wolves.

P = 20t + 375

(To find t all we do the same thing we did last time except now we subtract 2018 from 2010, which equals 8)

P = 20(8) + 375

P = 160 + 375

The advantage of defining the input variable is that it helps simplify the calculation and makes it more intuitive.

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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(a) The set {x - y, y-z, z-x} is not independent because we have: (x - y) + (y - z) + (z - x) = 0 So, we have a nontrivial linear combination of these vectors that equals the zero vector. Therefore, the set is dependent.

(b) The set {x+y, y+z, z+x} is not independent because we have: (x+y) + (y+z) + (z+x) = 2(x+y+z) So, we have a nontrivial linear combination of these vectors that is a scalar multiple of (x+y+z). Therefore, the set is dependent.

(c) The set {x- y, y-z, z-w, w-x} is not independent because we have: (x - y) + (y - z) + (z - w) + (w - x) = 0 So, we have a nontrivial linear combination of these vectors that equals the zero vector. Therefore, the set is dependent.

(d) The set {x+y, y+z, z+w, w+x} is independent. To show this, suppose we have a linear combination of these vectors equal to the zero vector: a(x+y) + b(y+z) + c(z+w) + d(w+x) = 0

Expanding and collecting terms, we get: (a+d)x + (a+b)y + (b+c)z + (c+d)w = 0 Since {x, y, z, w} is independent, we must have:

a+d = 0

a+b = 0

b+c = 0

c+d = 0

Solving these equations, we get a=b=c=d=0, which shows that the only linear combination of {x+y, y+z, z+w, w+x} that equals the zero vector is the trivial one. Therefore, the set is independent. In summary, the set {x+y, y+z, z+w, w+x} is the only one among the given sets that is independent.

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On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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The value of the n in the mean value is 1.

According to the statement

We have to find that the value of the n in the mean.

So, For this purpose, we know that the

Mean is the simple mathematical average of a set of two or more numbers.

From the given information:

The mean number of hours is 1.75

Then

We are given that

Day       Hours

Sunday    0

Monday   1.5

Tuesday    2.5

Wednesday  2.5

Thursday       3

Friday            0

Saturday       n

Mean number of hours of  study per day=1.5

Then

Total number of days=7

Using the formula:

Mean = sum of data / Total number of the data points

1.5 = 9.5+n / 7

1.5*7 = 9.5+n

10.5 =  9.5+n

n =  10.5 - 9.5

n = 1.

So, The value of the n in the mean value is 1.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

a = 3

Step-by-step explanation:

ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4

you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4

then you cross multiply and you get 12=4a

swap sides so its going to be 4a = 12

divide both sides by 4 and you get a = 3

Answer:

Length: 18

Width: 11

Step-by-step explanation:

Step 1: Write out equation

x(x + 7) = 198

Step 2: Distribute

x² + 7x = 198

Step 3: Complete the square

x² + 7x + 49/4 198 + 49/4

(x + 7/2)² = 841/4

Step 3: Solve for x

√(x + 7/2)² = √(841/4)

x + 7/2 = ±29/2

x = -7/2 ± 29/2

x = 11, -18

Since you can't have negative length, your x will be 11. Now simply plug them in as width and length:

Width = x

x = 11 in

Length = 11 + 7

x = 18 in

And we have our final answers!

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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