Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=

-----------------------------------

m + 18 = - 112

m = -112 - 18

m = - 130

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Answer:

m=94

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

Answer:

B. y = 3x^2 + 3x - 3

Step-by-step explanation:

Find the function rule.

y = 3 x ^2 + 3 x − 3

\table[[x,y],[-1,-3],[0,-3],[3,33]]

The quadratic function to model the values in the table is,

⇒ y = 3x² + 3x - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values of x and y in the table are,

⇒ x = - 1, 0, 3

⇒ y = - 3, - 3, 33

Now, We know that;

The standard form of the quadratic equation is,

⇒ y = ax² + bx + c

Put x = - 1, y = - 3;

⇒ - 3 = a (- 1)² + b (- 1) + c

⇒ - 3 = a - b + c  .. (i)

Put x = 0, y = - 3;

⇒ - 3 = a (0)² + b (0) + c

⇒ - 3 = c

Put x = 3, y = 33;

⇒ 33 = a (3)² + b (3) + c

⇒ 33 = 9a + 3b - 3

⇒ 36 = 9a + 3b

⇒ 36/3 = 3a + b

⇒ 3a + b = 12  .. (ii)

From (i);

⇒ - 3 = a - b + c

⇒ - 3 = a - b - 3

⇒ a - b = 0 .. (iii)

Solve for (i) and (iii), we get;

⇒ a = 3, b = 3

Hence, The quadratic function to model the values in the table is,

⇒ y = ax² + bx + c

⇒ y = 3x² + 3x - 3

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Answer:

So the answer is... Hold on... Ok i did my research and the answer is........

Step-by-step explanation:

1. Economic

The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw

materials. Second, colonies served as a market for surplus manufactured goods.

2. Political

Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the

world. To achieve this, they wanted to control as much of the world as

possible. The nation’s greatness is measured by the quality and quantity

of its colonies. Folks wanted to plant the flag in as many places as

possible. Every country wanted recognition as a world power. They

wanted to improve their reputation among other European countries.

They wanted to increase their political power and prestige. Every country

was in competition with its rivals. You took territory – simply to prevent

your rival from getting it!

3. Military

Every imperialist country was worried about its own national security: The competition

among imperialist powers was vicious. One had to protect one’s own

country and its colonies. Every country wanted to gain military

advantage over its rivals. A colony could serve as a fueling station for

the Navy. A ship could stop and load up on supplies. Some spots in the

world, especially waterways, were strategically important. The Navy

was paramount: It must have freedom to travel to and from the

colonies.

4. Cultural

Social Darwinism was the prevailing belief in Europe. It explained why some countries were

rich and some were poor. People compete for survival. The strong survive.

The rich were naturally superior. The weak were unfit. Poverty was a sign of

being unfit. The poor were naturally inferior. The European colonizers were

the Superior Races. The African and Asian colonized were Inferior Races. The

Europeans regarded themselves as racially and culturally superior to the people

of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to

uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority

was prevalent.

5. Religious

The “missionary impulse”: Christianity is superior to all other religions. We must

spread Christianity to Asia and Africa. Religion encouraged imperialism. People

felt they needed to acquire territory in order to Christianize people. A serious

moral issue – Christianity is in direct conflict with Social Darwinism. Under

Christianity, all people are equal in God’s eyes. Under Social Darwinism, the

Europeans are superior and the Africans and Asians are inferior. There was also a

certain element of hypocrisy: While the Europeans spoke of uplifting people, they

were actually motivated by profit and greed.

Step-by-step explanation:

where are the ordered pairs?

Answer:

1.19

Step-by-step explanation:

tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Answer:

Flower stick hahhhahaHaha

Answer:

11

1

11 over 1

Step-by-step explanation:

The initial amount is the first number = 1500

Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%

Replace t with 5 and solve

1500(1.074) ^5 = $2143.45

Answer:

The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.

Step-by-step explanation:

Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.

To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.

f(5) = 1500*(1.074^5)

f(5) = 1500*(1.42896)

f(5) = 2143.45

Answer:

17/18

Step-by-step explanation:

total number of outcomes=6×6=36

favorable outcomes for a total of 11=56,65

number of favorable items for a total of 11=2

P(a total of 11)=2/36=1/18

P(for a total other than 11=1-1/18=(18-1)/(18)=17/18

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

Answer:

9.75*1.2= 11.7min (time spent reading in science)

24.5*0.8=19.6min (time spent reading play)

19.6+11.7= 31.3min (total time spent reading)

Answer:correct

Step-by-step explanation: >

Answer:

the answer is in the photo below

Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

Answer:

W=20 V=42 X=87

Step-by-step explanation:

all sides are equal meaning that two corners from across each other are equal so v is 42 and w 20 this also means x is 87 im not too sure about y

One student scored 92 percent in his math class. Another scored 100 percent in the same class.

By how much did the other student score higher than the first?

⇒ 8%

I hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The correct Choice is ~ D

a || b by the converse of the same side interior angles

Answer:

The answer is 15 cm

Step-by-step explanation:

as one square is 1 cm and there are 15 squares used for this shape then it is 15 cm

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]

Answer:

Option A) 32

Step-by-step explanation:

Given the quadratic function, g(x) = x²- 5x + 8:

In order to evaluate and determine the output value given g(8), substitute the input value into the function:

g(x) = x²- 5x + 8

g(8) = (8)²- 5(8) + 8

g(8) = 64 - 40 + 8

g(8) = 32

Therefore, the correct answer is Option A) 32.

Answer: 6/9 = 2/3

Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3

Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:

p = 2/5 = 0.4 = 40%.

0.4 = 40% probability that a student passed the test given that they did not complete the homework.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

y = -3x + 4

Step-by-step explanation:

Use the slope intercept equation y = mx + b.

b is the y-intercept which is 4 in this equation.

The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.

Answer:

y=-3-3x

Step-by-step explanation:

Transpose the equation for y

y=-12/4-12x/4

y=-3-3x

Answer:

Answer ️️

Step-by-step explanation:

5.1÷104 = 4.903846154

Answer:

Step-by-step explanation:

The profit is the difference between the revenue and the total cost:

Substitute values:

The difference between cost and revenue is profit