Question 7 (1 point)
Lin and Clare were standing in the woods near a stream, and each threw a stone up in the air at the same time so that
it would land in the water. The graph represents the height of a stone t seconds after it was tossed up by Lin.
The function f given by f(t) = (-16t – 8) (t - 1) represents the height of a stone t seconds after it was thrown by
Clare. In both functions, height is measured in feet.
What was the maximum height of Clare's stone?
height (feet)
12
11
10
9
8
7
6
5
4
time (seconds)

Answer:

You should add 25 because you should always add the square of the p value (which is equal to half of the b value, which makes the p value 5).

Basically, the p value should be half of b and the square root of c.

Answer:

8

Step-by-step explanation:

10-8 x 2 = 4

2 x 2 = 4

4 = 4

The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Let the required number is x.

According to given condition,

When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.

Implies that,

2 (10 - x) = 4

10 - x = 2

x = 10 - 2

x = 8

The required number is 8.

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Answer:

Milton will pay $15.75

Step-by-step explanation:

have a great day

Answer:

what do you need help for?

Step-by-step explanation:

Answer:

11 1/5

Step-by-step explanation:

3 1/5 ÷ 2/7 =

16/5 ÷ 2/7 =

KCF (Keep, Change, Flip)

Keep 16/5

Change ÷ to ×

Flip 2/7 to 7/2

16/5 × 7/2

16 x 7 = 112

5 x 2 = 10

112/10

11 2/10

11 1/5

Hope that helps :)

Answer: 8 and 20

Step-by-step explanation:

From the question, we are informed that 28 pieces of candy are put into 2 groups in the ratio is 2 to 5.

The number of pieces of candy that will be in each group will be:

1st group = 2/(2 + 5) × 28

= 2/7 × 28

= 2 × 4

= 8

2nd group = 5/(2 + 5) × 28

= 5/7 × 28

= 5 × 4

= 20

The minority interest in E for the consolidated financial statements of Ross Group will be 20%.

To determine the minority interest in E, we need to trace the ownership structure from Ross plc to E.

Given:

- Ross plc owns 70% of B.

- Ross plc already owns 30% of C.

- C owns 40% of D.

- B owns 80% of E and 25% of D.

To calculate the minority interest in E, we need to consider the portion of E that is not owned by Ross plc. Let's trace the ownership:

1. Ross plc owns 70% of B.

  This means Ross plc has a 70% controlling interest in B, leaving a 30% minority interest in B.

2. B owns 80% of E.

  Since B is the majority owner of E, the remaining 20% of E is considered the minority interest.

Therefore, the minority interest in E is 20%.

In summary, based on the given ownership structure, the minority interest in E for the consolidated financial statements of Ross Group will be 20%.

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Answer: the number of blues is 42.

the number of whites is 30.

Step-by-step explanation: Let there be 'x' blues and 'y' whites then

the ratio of blues to white is 7 to 5:

x : y = 7 : 5

the number of blues exceeds the number of whites by 12

x = 12 + y

the solutions of the system of equations

x/y = 7/5

x = 12 + y

are

x = 42 blues

y = 30 whites

The association between daytime temperature and nighttime temperature is a statistical association because it is based on analyzing data using statistical methods.

Specifically, the correlation coefficient is often used to quantify the strength and direction of the relationship between two variables, such as daytime and nighttime temperatures.

A positive correlation coefficient indicates a positive association, meaning that as one variable increases, the other variable also tends to increase. A negative correlation coefficient indicates a negative association, meaning that as one variable increases, the other variable tends to decrease.

However, it's important to note that statistical associations do not necessarily imply causation. In the case of daytime and nighttime temperatures, while there is a strong statistical association, this does not necessarily mean that changes in daytime temperatures cause changes in nighttime temperatures or vice versa. Other factors, such as atmospheric conditions, can also play a role in determining both daytime and nighttime temperatures.

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Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

-6 = 3x - 6y

4x = 4 + 5y

ok

x = (4 + 5y)/4

Substitution

-6 = 3[(4 + 5y)/4] - 6y

-6 = [12 + 15y]/4 - 6y

-6 + 6y = [12 + 15y]/4

-24 + 24y = 12 + 15y

24y - 15y = 12 + 24

9y = 36

y = 36/9

y = 4

x = (4 + 5(4))/4

x = [4 + 20)/4

x = 24/4

x = 6

Solution x = 6, y = 4

The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

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Using Sphere geometry formulas , 2.45 ft/min is increasing rate of spherical ballon when the diameter is 1.5 feet.

Sphere is a three dimensional form of circle .

let V and D be volume and diameter of the sphere. we have given that ,

Volume increasing rate of spherical ballon (dV/dt)

= 3.7 ft³/min

diameter of sphere at time of increasing = 1.5 feet

the increasing rate of spherical ballon is dD/dt.

Now, Volume of sphere (V) = 4/3π³ ft³

or we know that D = r/2 so,

V = 4/3 π (D)³×8 ft³

differentating both sides we get ,

dV/dt = 32/8π 3D³dD/dt

=> 3.7 = 32/3 (3.14)(1.5)²dD/dt

=> dD/dt= 2.45 feet/min

Hence, 2.45 ft/min is the rate of the diameter of the balloon increasing when the diameter is 1.5 feet.

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Answer:

x = 35

Step-by-step explanation:

As it is an isosceles triangle, two sides are equal (that's why we took two x)

2x = 180- 110

2x = 70

x = 70/2

x = 35

I hope my answer helps you.

The measure of the indicated angle is 35 degrees.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

We are given that;

Angle = 110degree

Now,

x+x+110=180

2x+110=180

2x=180-110

2x=70

x=70/2

x=35

Therefore, by the angle sum property of triangles the answer will be 35degree.

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The formula y² = u² + 2as for s​ can be arranged as s = (y² - u²) / 2a.

The given formula is y² = u² + 2as, which relates the final velocity (y), initial velocity (u), acceleration (a), and displacement (s) of an object moving with a constant acceleration.

To rearrange the formula for s, we need to isolate s on one side of the equation. Here are the steps:

Start with the given equation: y² = u² + 2as

Subtract u² from both sides to get: y² - u² = 2as

Divide both sides by 2a to get: (y² - u²) / 2a = s

Therefore, the formula for s is: s = (y² - u²) / 2a.

This formula tells us that the displacement of an object is equal to half the product of the acceleration and the square of the difference between the final and initial velocities

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Answer:

Explanation in link:

The equation has a infinite number of solutions.

Step-by-step explanation:

-6x - y = -27

18x + 3y = 81

-6x - y = 27

+6x —-+6x

-Y = 27 + 6x

Then, divide both sides by negative one to get rid of that negative y:

Y = -6x + 27

Now replace the Ys in the other equation with -6x + 27.

18x + 3(-6x + 27) = 81.

Do distribute property

18x + -18x + 81 = 81

The 18x and -18x cancel each other out.

81 = 81.

A 90° rotation around the origin characterised the transition.

A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.

(x, y)(x, y) is the formula for a reflection over the x-axis.

Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation.  The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.

Step-by-step explanation: Took the test, no thanks neeeded :)

Answer: x=2 on edg

Step-by-step explanation: i got it right :)

Answer:

A generic exponential function can be written as:

f(x) = A*e^(b*x)

Where A and b are real numbers, that we need to find.

We know that the points (3, 6) and (7, 18) are solutions to the equation, then we have that:

A*e^(b*3) = 6

A*e^(b*7) = 18

This is a system of equations, to solve this we can take the quotient between the two equations, so we remove the variable A.

(A*e^(b*7))/(A*e^(b*3)) = 18/6

e^(b*7)/e^(b*3) = 3

e^(b*7 - b*3) = 3

e^(4*b) = 3

Now we can apply the Ln(x) to both sides, because:

Ln(e^y) = y

then:

Ln(e^(4*b)) = Ln(3)

4*b = Ln(3)

b = Ln(3)/4

Then we have:

f(x) = A*e^(Ln(3)/4*x)

And we can use one of the equations to find the value of A. for example:

6 = A*e^(Ln(3)/4*3)

6/e^(Ln(3)/4*3) = 2.632

Then the exponential function is:

f(x) = 2.632*e^(Ln(3)/4*x)

Then we have that:

f(20) = 2.632*e^(Ln(3)/4*20) = 639.576

Rounding to the next integer, we have:

f(20) = 640

An exponential function can represent growth or decay.

The value of f(20) is 673

An exponential function is represented as:

\(y = ab^x\)

At point (3,6), we have:

\(6 = ab^3\)

At point (7,18), we have:

\(18 = ab^7\)

Divide both equations

\(\frac{18}{6}= \frac{ab^7}{ab^3}\)

\(3= b^4\)

Take 4th roots of both sides

\(\sqrt[4]{3}= b\)

Rewrite as:

\(b = \sqrt[4]{3}\)

\(b = 1.32\)

Substitute 1.32 for b in \(6 = ab^3\)

\(a(1.32)^3 = 6\)

\(2.30a = 6\)

Divide both sides by 2.3

\(a = 2.61\)

So, the function is:

\(y =2.61(1.32)^x\)

When x = 20, we have:

\(y =2.61(1.32)^{20\)

\(y =673\)

Rewrite as:

\(f(20)=673\)

Hence, the value of f(20) is 673

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The general solution is then x1 = c1*(1/sqrt(5))e^(+sqrt(5)t) + c2*(-1/sqrt(5))e^(-sqrt(5)t) using the eigen value method.

The coefficients of a set of linear equations are represented by coefficient matrices. These matrices are frequently used to streamline the process of calculating equations  by arranging the coefficients in a standardized manner. The coefficient matrix is frequently designated as A, with the dimensions matching to the number of equations and variables in the system. A system of three equations with three variables, for inspection , would have a 3x3 coefficient matrix. The elements in the matrix reflect the coefficients of each variable in each equation and may be used to solve the problem using various approaches such as Gaussian elimination or matrix inversion.

How to solve?

x1' = -3x1 + 2x2

x2' = -3x1 - 2x2

The characteristic equation is (-3-λ)(-3+λ)+4=0, which simplifies to λ^2-9+4=0, or λ^2-5=0. This has solutions λ = +-sqrt(5).

For λ = +sqrt(5), the system becomes:

x1' = -3x1 + 2x2

x2' = -3x1 + 2sqrt(5)x2

x2 = -(3/2)x1 + (1/sqrt(5))x2

eigenvector x2 = (1/sqrt(5))x1.

For λ = -sqrt(5), the system becomes:

x1' = -3x1 + 2x2

x2' = -3x1 - 2sqrt(5)x2

x2 = -(3/2)x1 - (1/sqrt(5))x2

Dividing both sides by (1+3/2sqrt(5)), we get the eigenvector x2 = (-1/sqrt(5))x1.

The general solution is then x1 = c1*(1/sqrt(5))e^(+sqrt(5)t) + c2*(-1/sqrt(5))e^(-sqrt(5)t).

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Answer:

1. h=1.5d. 2. 30cm in 20 days

Step-by-step explanation:

2. 20×1.5

Answer:

Step-by-step explanation:

2 × 2 = 4

4 + 3 = 7

denominator stays the same so 7/2 is the answer

Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

Answer:

f = (k - 16) / (2k - 16)

k = (16f - 16) / (2f - 1)

Step-by-step explanation:

f(k-8) = 1/2(k-8)-4​

Solve for f:

Divide both sides by (k-8)

f = (k - 16) / (2k - 16)

Solve for k:

Subtract 1/2 * k from both sides.

fk - 8f - (1/2)k = -8

Add 8f to both sides.

fk - 1/2*k = k * (2f - 1)/2 = 8f -8

Divide both sides by (2f - 1)/2

k = (16f - 16) / (2f - 1)

Answer:

The number

5

7

tells you that when

x

increases of

1

then

y

always increases of

5

7

.

Graphically:

graph{7/7*x [-10, 10, -5, 5]}

Step-by-step explanation:

The answer is Figure A.

Given: "If it is an triangle, then it has three vertices.

To find which diagram represents the given statement.

From the first diagram

Triangles have three vertices because they are formed by the intersection of three triangles.

using the second diagram

Three vertices make up the triangle's intersection zone.

Therefore, we cannot infer from the second diagram that a triangle has three vertices.

As a result, figure A represents the stated assertion.

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Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = \(\frac{100}{100+profit}*SP\)

                \(= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125\)

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

For students who earned a score of 21 or higher on the quiz

The cumulative frequency = 16

The relative frequency  = 32%

The number of times a specific value appears in the data is its frequency (f). A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values.

To get relative frequency, we will take this cumulative number and divide by the total number of students. number of 21 or more / total number of students = 16 / 50 = 0.32 or 32%.

The cumulative frequency of students who earned a score of 21 or higher on the quiz is =16.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is

= 16 / 50

= 0.32 or 32%.

Hence , the relative cumulative frequency when students who earned a score of 21 or more is 0.32.

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