Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?

Answer:

53.79%

Step-by-step explanation:

In Part A, Patrick should drag 1 jar of paint to each of the 3 canvases in order to evenly distribute the paint. In Part B, Patrick should drag the numbers 1 and 2 to the corresponding canvases; 1 to Canvas 1 and 2 to Canvas 3.

Part A:

Jar 1: Canvas 1

Jar 2: Canvas 2

Jar 3: Canvas 3

Jar 4: Canvas 3

Part B:

Canvas 1: 1 jar of paint

Canvas 2: 1 jar of paint

Canvas 3: 2 jars of paint

Part A:

To evenly distribute the paint, Patrick will need to use 1 jar of paint on each of the 3 canvases. So, Patrick should drag Jar 1 to Canvas 1, Jar 2 to Canvas 2 and Jar 3 and Jar 4 to Canvas 3. Part B:

To complete the statement about how much paint will be used on each canvas, Patrick should drag the numbers 1 and 2 to the corresponding canvases; 1 to Canvas 1 and 2 to Canvas 3.

In Part A, Patrick should drag 1 jar of paint to each of the 3 canvases in order to evenly distribute the paint. In Part B, Patrick should drag the numbers 1 and 2 to the corresponding canvases; 1 to Canvas 1 and 2 to Canvas 3.

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The penguin swims half the circumference of the circular island, which is equivalent to half the distance around the circle.

The circumference of a circle can be calculated using the formula:

C = πd,

where C is the circumference and d is the diameter of the circle.

Given that the diameter of the island is 20 meters, the radius (r) of the island is half the diameter, which is 10 meters.

Substituting the value of the radius into the formula, we have:

C = π * 10 meters = 10π meters.

To find half the circumference, we divide the total circumference by 2:

Half circumference = (10π meters) / 2 = 5π meters.

Therefore, the penguin swims a distance of 5π meters.

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The score of Larry is 32 points.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Ervin scores half as many points in a game as Larry.

If Larry scored x points,

then the points of Ervin are x/2 points.

Here, x = 16,

So,

Ervin's points = Larry's points

The equation is,

16 = x/2

x = 16(2)

x = 32 points

Therefore, 32 points are the score of Larry.

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Answer:

No.

Step-by-step explanation:

20+25+15 = 60

A right is 90°. Therefore, 20, 25, and 15 do not make a right angle.

The relations we notice between the variables we examined is the relationship linear or quadratic or inverse or logarithmic or something else.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables.

To correctly interpret a statistical study, it is crucial to comprehend the relationships between the variables. How the factors interact impacts how the correct conclusions are drawn. Without knowing this, you run the risk of getting caught in one of the many traps that come with statistical analysis and drawing incorrect conclusions from your data.

Before making decisions based on relationships between variables, it is necessary to research and understand those relationships. Natural science and engineering typically make this easier because you can research how one parameter influences the result being studied while holding all other parameters constant.

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There are 54,450 ways to form a committee of three men and four women from a group of 11 men and 11 women.

To form a committee of three men and four women from a group of 11 men and 11 women, you can use the combination formula.

The formula for the number of ways to choose k items from a group of n items is: (n choose k) = n!/(k!(n-k)!)

We can use this formula to calculate the number of ways to choose 3 men and 4 women from the group of 11 men and 11 women.

(11 choose 3) * (11 choose 4) = 165 * 330 = 54,450

Thus, there are 54,450 total ways to form a committee of three men and four women from a group of 11 men and 11 women.

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The function f(x) = x + 5x + 1 has exactly one zero in the interval (-1, 0). To prove this, we can use the Intermediate Value Theorem.

This theorem states that if a function f(x) is continuous on an interval [a, b] and if its values at a and b have opposite signs, then there exists at least one root (zero) of the function in the interval (a, b). Therefore, since f(-1) = -6 and f(0) = 1, both of which have opposite signs, the Intermediate Value Theorem can be used to conclude that there exists at least one root of the function in the interval (-1, 0).

Furthermore, since the function is a quadratic function of the form f(x) = ax2 + bx + c, it is known that a quadratic equation can have at most two roots (zeros) (in a given interval). Therefore, since the Intermediate Value Theorem implies that the function f(x) has at least one zero in the interval (-1, 0), it follows that the function has exactly one zero in the interval (-1, 0).

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Answer:

8

Step-by-step explanation:

4+4

6-6+8

Answer:

The value is \(Y = 204 \ yards\)

Step-by-step explanation:

From the question we are told that

   The height of the flag pole is  \(h = 66 \ yards\)

   The position of the cables on the pole with respect to its top is  \(x = 6 \ yards\)

   The position of the cable from the base of the pole is  \(w = 32 \ yards\)

    The number of cables is n =  3

Generally the length of one of the cable is obtained using Pythagoras theorem as follows

       \(u = \sqrt{ (h - x)^2 + w^2}\)

=>    \(u = \sqrt{ (66 - 6)^2 + 32^2}\)

=>    \(u = 68 \ yards\)

Generally the total number of yards of cable that will be required is mathematically represented as

       \(Y = 3 * u\)

=>     \(Y = 3 * 68\)

=>     \(Y = 204 \ yards\)

Step-by-step explanation:

let Veena father be x and Veena be y

x=5y+7

x=37

37=5y+7

30=5y

y=6

Veena is 6 year old

Justin"s heart rate decreased 3 beats per minute for each of next 4 minutes

Let his heart rate be be 1

For the first minutes

1 minute his heart rate was 1 - 3 = -2

This is because the heart rate is decreasing 3 beats per minutes

2minutes later, his heart beat will be -2 -3

-2 - 3 = -5

3 minutes later, his heart beat will be -5 - 3

-5 - 3 = -8

4 minutes later, -8 - 3

-8 - 3 = -11

Change = Final heart beat - initial heart beat / initial heart beat

Change = -11 -2 / -2

Change = -13/-2

Change = 13/2

= 6.5

Answer:

2,300 days are without activities

Step-by-step explanation:

We start by calculating the number of days in 7 years

Mathematically, that would be 7 * 2,555

From the question, 90% of days are without activities

The number of days without activities will be;

90/100 * 2,555 = 2,299.5 which is approximately 2,300 days

To find the equation of the tangent line to the graph of y = (6x^2 − 6x + 3)(1 + 2x) at x = 1, we need to find the slope of the tangent line at that point and use the point-slope form of a line equation. Here's a summary of the solution:

Calculate the derivative of the function y = (6x^2 − 6x + 3)(1 + 2x) using the product rule and simplify the expression.

Evaluate the derivative at x = 1 to find the slope of the tangent line.

Substitute the coordinates of the point (1, f(1)) into the point-slope form of the line equation, where f(1) is the value of the function at x = 1.

Simplify the equation to obtain the equation of the tangent line.

To check the reasonableness of the answer, graph both the function and the tangent line using a graphing tool or software. Plot the function and the tangent line on the same graph to visually verify that the line is indeed tangent to the function at x = 1.

By taking the derivative of the function, evaluating it at x = 1, and applying the point-slope form, you can determine the equation of the tangent line. Graphing both the function and the tangent line together allows you to visually confirm the tangent relationship at x = 1.

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Answer:

its isssssssss x=5

Step-by-step explanation:

.......

Answer:

it's 5

Subtract

3

3x

3x

from both sides of the equation

4

=

3

+

5

4x=3x+5

4x=3x+5

4

−

3

=

3

combine the like terms 4

−

3

=

3

+

5

−

3

}{-3x}}=3x+5-3x

4x−3x=3x+5−3x

1

=

3

+

5

−

3

+

5

−

3

The points B, C, H, I lie on a single circle, then O lies on this circle too.

For given question,

We have been given I, O, H be the incenter, circumcenter, and orthocenter of an acute triangle ABC, respectively

In an acute ΔABC, O is circumcenter. Thus, by applying the inscribed angle theorem to the circle, we have:

∠BOA = 2∠BAC.               ..................(1)

Assuming H is orthocenter; Thus, the angle formed by angles BAC and BC at H are supplementary angles:

∠BAC + BHC = 180°.

BHC = 180° - ∠BAC.           ...................(2)

Assuming I is incenter; Thus, the angle formed by BIC is given by:

∠BIC = 90° + ∠A/2.            ...................(3)

Since points B, C, H, I lie on a single circle and the angles formed in the same side of an arc of a circle are equal, we have:

BIC = BHC                           ...................(4)

Substituting the parameters into equation (4), we have;

⇒ 180° - ∠BAC = 90° + ∠A/2

⇒ ∠BAC + ∠BAC/2 - 3∠BAC/2 = 180° - 90°

⇒ ∠BAC = 90° × 2/3

⇒ ∠BAC = 60°.

From equation (1), we have:

⇒ ∠BOA = 2∠BAC.

⇒ ∠BOA = 2 × 60

⇒ ∠BOA = 120°.

Hence, this proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

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The formula for work is Work=Force × Distance, i.e., W=(F)x(d). Where F represents Force and d represents Distance.

Work is created by applying force and moving in the force's direction. Force and displacement are two vectors, and work is their dot product. Work is a scalar quantity as a consequence. The joule (J) is the SI unit of work. Also we can derive the formula as W = (F cos θ)d, where d represents the magnitude of distance.

Work may be estimated if the force acting along the path is constant by multiplying the length of the path by the component of the force acting along the path. To quantitatively express this concept, the work W is equal to the force f times the distance d, or W=(F)x(d). If the force is applied at an angle to the displacement, the work is W = (F cosθ)d.

Therefore, it is all about the work formula.

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Answer:

$16

Step-by-step explanation:

If 3 rides cost $28 and 6 rides cost 40, each ride costs $4. 28 - (3 x 4) = $16 admission fee

Answer: y=-(4y-12)/2 + 3; x=0 y=3

Answer:

4

Step-by-step explanation:

because if it has two Pairs that's 2 on each side of the side of the shape

so, when you have a figure of 2 parallel sides id would be a parallelogram

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Step-by-step explanation:

B the median is less than the mean

A higher confidence level is associated with a wider confidence interval.

a. The point estimate of µ = (14 + 20 + 21 + 16 + 18 + 19) / 6 = 108 / 6 = 18.

b. For 80% confidence interval for µ, the confidence coefficient is 1 - α = 0.8, so α = 0.2 / 2 = 0.1. From the z-table, we can find the corresponding value of z to be 1.28. The confidence interval can be calculated as follows:

Upper Bound: µ + z*σ / √n = 18 + (1.28)(2.3) / √6 = 21.35

Lower Bound: µ - z*σ / √n = 18 - (1.28)(2.3) / √6 = 14.65

The 80% confidence interval is (14.65, 21.35). For 98% confidence interval for µ, the confidence coefficient is 1 - α = 0.98, so α = 0.01. From the z-table, we can find the corresponding value of z to be 2.33. The confidence interval can be calculated as follows:

Upper Bound: µ + z*σ / √n = 18 + (2.33)(2.3) / √6 = 23.88

Lower Bound: µ - z*σ / √n = 18 - (2.33)(2.3) / √6 = 12.12

The 98% confidence interval is (12.12, 23.88). The 80% and 98% confidence intervals are different because as we move to higher confidence levels, the z-values become larger, which in turn causes the confidence intervals to become wider. Therefore, a higher confidence level is associated with a wider confidence interval.

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Answer: 24

Step-by-step explanation:

We can use the pythagorean theorem to solve for the missing side.

Let the missing side be x.

Then, x^2 + 10^2 = 26^2.

x^2 + 100 = 676

Subtract 100 from both sides:

x^2 = 576

Square root both sides:

x = 24

Answer:

24

Step-by-step explanation:

~ Formula ~

a² + b² = c ²

Solve:

Let,

a² = 10

c² = 26

Thus,

a² + b² = c²

10² + b² = 26²                                 { ² means # × # Not # × 2 }

100 + b² = 676                                {Subtract both sides by 100}

b² = 576                                       {Square Root}

576 = 24²

= √24 ²

Apply radical rule - n √aⁿ = a

√24 ² = 24  

Answer = 24

Check Answer:

a² + b² = c²

10² + 24² = 26²

100 + 576= 676 ☑

Kavinsky

9514 1404 393

Answer:

  8x +96 yd

Step-by-step explanation:

The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.

The overall length is the sum of the two horizontal segments at top:

  (x -2) +(3x) = 4x -2

The overall height is the sum of the right-side vertical segments:

  10 + 40 = 50

Then the perimeter is ...

  P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96

The perimeter is 8x +96 yards.

Solution

Question: Which type of graph would you use to compare the amount of rainfall each month for one year.

Answer: Line Graph

i.e Bar graph , Histogram, etc

Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

Answer:

a square

Step-by-step explanation:

a square has all right angles an no acute angles

Answer:

(8x - 1) - (3x + 6)

hope this helps