A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the height, to the nearest foot, at a time of 3 seconds.

Step-by-step explanation:

(1/8 - X) = -1/8

or, (1/8+1/8) = X

or, X=1/4

it's the final answer you can check it if you want

Answer:

20%

Step-by-step explanation:

The total number of students is: 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 (students)

The probability is: 6/30 = 1/5 = 0.2 = 20%

The probability that the student is a male given that he's a sophomore is approximately 60%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability that the student is a male given that it's a sophomore can be calculated using the formula:

P(male | sophomore) = P(male and sophomore) / P(sophomore)

The number of male sophomores is 6, and the total number of sophomores is 6+4=10.

So, the probability of selecting a sophomore is:

P(sophomore)

= (number of sophomores) / (total number of students)

= 10 / 23

The number of male sophomores is 6.

So,

The probability of selecting a male sophomore is:

P(male and sophomore) = 6 / 23

Therefore,

The probability that the student is a male given that it's a sophomore is:

P(male | sophomore)

= (6 / 23) / (10 / 23)

= 6 / 10

= 3 / 5

Rounding to the nearest whole percent, we get:

P(male | sophomore) ≈ 60%

Thus,

The probability that the student is a male given that he's a sophomore is approximately 60%.

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If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:

0.2 × 56

= $11.6

Therefore the waiter was tipped $11.6

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Answer:

A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.

Evaluate the expression 0.20d for d=56.

0.20d

=

0.20(56)

=

11.2

The family tipped the waiter $11.20.

Answer:

6 stations

Step-by-step explanation:

24=1,2,3,4,6,8,12,24

18=1,2,3,6,9,18

Now we have to find which numbers are the same but that are the largest.

so It would be 6.

So Mrs.Davis can have every student participate in 6 stations.

The value of the expression 16/2 + 6 (7 + 4 x 5) will be 848.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The value of the expression 16/2 + 6 (7 + 4 x 5) will be:

= 16/2 + 6 (7 + 4 x 5)

= 8 + 6(7 + 20)

= 8 + 6(140)

= 8 + 840

= 848

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answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

Answer:

The hat was chosen was the child.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

32 divided by 8 is 4 so multiply it with 7 you get 24 HOPE THIS HELPS

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  \(R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20\)

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               \(R'(x) = -3x^2 +66x + 800\)

Finding the second derivative of R(x)

              \(R''(x) = -6x +66\)

at  inflection point    \(R''(x) = 0\)

    So      \(-6x +66 = 0\)

=>           \(x= 11\)

    substituting value of x into R(x)

     \(R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,\)

      \(R(x) = 21462\)

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

Answer:

See below

Step-by-step explanation:

By switching to vertex form, you not only condense the function so it's easier to solve if it's an equation, but you get information about the function like the vertex and how stretched or compressed it is.

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

The values are given below,

Left Hand Limit i.e. lim x -> 1- f(x) = 3 ,

Right Hand Limit i.e. lim x -> 1+ f(x) = 1 ,

Function value at x = 1 i.e. f(1) = 1 ,

Left Hand Derivative lim x -> 1- f'(x)= -6 and

Right Hand Derivative lim -> 1+ f'(x) = -6.

So, the function f(x) is neither continuous nor differentiable at x = 1.

Given, a piecewise function

              3㏑(3 - 2x) + 3                for x < 1

f(x) =

                   -3x² + 4                      for x ≥ 1

Now, for lim x -> 1- f(x) we will consider the function  3㏑(3 - 2x) + 3, as we have to find the Left Hand Limit of the function, at x = 1.

lim x -> 1 3㏑(3 - 2x) + 3 = 3㏑(3 - 2(1)) + 3

= 3 ㏑(1) + 3

= 0 + 3

= 3

Now, for lim x -> 1+ f(x) we will consider the function -3x² + 4, as we have to find the Right Hand Limit of the function, at x = 1.

lim x -> 1 -3x² + 4 = -3(1)² + 4

= -3 + 4

= 1

Now, for f( 1 ) we will consider the function -3x² + 4,

f(1) = -3(1)² + 4

= -3 + 4

= 1

Now, for lim x -> 1- f'(x) we will consider the derivative of the function

3㏑(3 - 2x) + 3,

lim x -> 1 -6/(3 - 2x) = -6/(3 - 2(1))

= -6

Now, for lim -> 1+ f'(x) we will consider the derivative of the function

-3x² + 4,

lim x -> 1 -6x = -6(1)

= -6

So, the function f(x) is neither continuous nor differentiable at x = 1.

Hence, lim x -> 1- f(x) = 3 , lim x -> 1+ f(x) = 1 ,  f( 1 ) = 1 , lim x -> 1- f'(x) = -6 and lim -> 1+ f'(x) = -6.

The function is neither continuous nor differentiable at x = 1.

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The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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It might just be 536320

Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

Answer:

The constant of  proportionality is 7.87.

Step-by-step explanation:

The relation between x and y is given by the equation :

y = 7.87x

y is directly proportional to x i.e.

y ∝ x

To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of  proportionality is 7.87.

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer:

56

Step-by-step explanation:

98 gallons of a 20 percent salt solution results in 20/100 * 98 = 19.6 gallons of salt.

Let's say we need x gallons of the 42% salt solution.

To make sure that the resulting mixture has 28% salt, we need to have the total salt divided by the total amount of gallons.

We have 98 total gallons in the first solution, and x total gallons in the second solution. We have 19.6 gallons of salt in the first solution and 42% of x gallons in the second solution:

\(19.6+\frac{42}{100}(x)=\frac{28}{100}(98+x)\)

Expanding, we have

\(19.6+\frac{42}{100}x=27.44+\frac{28}{100}x\)

Subtracting 19.6 and subtracting 28/100x from both sides equals

\(\frac{14}{100}x=7.84\)

Multiplying both sides by 100:

\(14x=784\)

Dividing both sides by 14:

\(x=56\)

Answer:

On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down

Step-by-step explanation:

The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.

The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.

A point in the coordinate plane is represented as (x, y).

The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down

Answer:

Circumference = 2π(r)

So, your answer would be: C. pi x r²

Step-by-step explanation:

May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

what are we finding

Are we to derive an equation of a straight line

The algebraic expression for the product of 9 and x is 9x. This can be expressed in steps as follows:

Step 1: Identify the values that are being multiplied together. In this case it is 9 and x.

Step 2: Write the two values side by side and place a multiplication sign between them.

Step 3: The algebraic expression for the product of 9 and x is then written as 9x.

Answer:

-5°C < 5°C

The temperature was higher on Wednesday than on Tuesday.

Answer:

-4 5/12

Step-by-step explanation:

-23/3 + (-11/2) + 35/4

Find a common denominator (12).

-92/12 + (-66/12) + 105/12

Reform the equation to have this as a single fraction.

(-92 + (-66) + 105)/12

Subtract 66 from -92 to get -158.

(-158 + 105)/12

Add 105 to -158 to get -53.

-53/12

Convert into a mixed number by dividing by 12.

-4 5/12 (Choice A) is your answer.

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

14π or 43.96

Step-by-step explanation:

C = 2πr and we know that r = 7 so C = 14π or 43.96.

Using equation of proportionality, the unit rate of canine cakes is 1.5, for bark bits is 1.64 and for woofy waffles is 1.2

A unit rate is a rate in which the second quantity in a comparison is one unit. In other words, it is the rate per unit of the first quantity.

Unit rates are useful for making comparisons and for solving problems. For example, if you are comparing the prices of two similar products that come in different sizes, you can use the unit price to determine which product is a better value. The unit price is the price per unit of measurement, such as price per ounce, price per pound, or price per item.

To find the unit rate of the item, we can apply the concept of proportion here;

y = kx

k = constant of proportionality

For canine cakes

24 = 16k

k = 24/16 = 1.5

We can solve for bark bits

82 = 50k

k = 82/50

k = 1.64

And for woofy waffles

48 = 40k

k = 48/40 = 1.2

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From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

x = -2

Step-by-step explanation:

2/3x - 3/2x = 2

-2/3 × 3/2x = 2

-1/3 × 3x = 2

-x = 2

x = -1 × 2

x = -2

Answer:

x = - \(\frac{12}{5}\)

Step-by-step explanation:

\(\frac{2}{3}\) x - \(\frac{3}{2}\) x = 2

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

4x - 9x = 12

- 5x = 12 ( divide both sides by - 5 )

x = - \(\frac{12}{5}\)

Answer:

hi

Step-by-step explanation: