A ball is thrown up in the air from the top of a building. The function h(t) = -5t²+10t + 80 models the height of the ball, in feet, after t seconds. Graph this function.
What is the maximum height reached by the ball?

Answer:

Step-by-step explanation:

246(.03)= 7.38

246+7.38= $253.38

The solution of the given inequalities will be the common region between the two (refer to the graph).

What is an inequality ?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Nachelle has x dimes and y nickels.

We know that, A nickel is worth 5 cent, A dime is worth 10 cent and have maximum of $0.8 combined.

So, 5% x + 10% y ≤ 0.8

     5x + 10y ≤ 80

She has at least 11 coins.

So, x + y ≥ 11

Hence, We have two inequalities as:

5x + 10y ≤ 80 and x + y ≥ 11

Similarly, x≥ 0 and y≥ 0.

Now, We'll find the points that lie on the given lines and draw the lines ( refer the given figure )

After drawing the graph, we'll check the inequalities where the portion is true.

If take point (0,0),

5x + 10y ≤ 80

5(0) + 10(0) ≤ 80

0 ≤ 80 which is true, hence we will shade the region which is down because the point (0,0 ) lies in downward region.

Similarly,

x + y ≥ 11

0 + 0 ≥ 11

 0 ≥ 11 which is false hence, we will shade the region which is up because the point (0,0 ) lies in downward region.

In result, We get the common region which is the solution.

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Answer:

6/4 = 1 1/2  

1 2/4

12/8

Step-by-step explanation:

Three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.

The given expression is 1/4 + 5/4​.

We need to find three different expressions that are equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

First, simplify the given expression.

That is, 1/4 + 5/4=6/4

=2/3=1 1/2

Therefore, three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.

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Answer:

n=1/3

Step-by-step explanation:

Answer:

There’s no error

Step-by-step explanation:

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

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Answer:

1. x^2+5

2.x^2-6x+9

Step-by-step explanation:

these are just translations up and to the right.

since the f(x)=x^2

the transformations would be

1. g(x)=x^2+5

2.g(x)=(x-3)^2 = x^2-6x+9

The value of the given expression 6 3/5-2 7/10 is 39/10.

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Here, we have

Given: 6 3/5-2 7/10

We have to solve this expression and find the value of the given expression.

6 3/5-2 7/10 = 33/5 - 27/10

6 3/5-2 7/10 = (66-27)/10

6 3/5-2 7/10 = 39/10

Hence, the value of the given expression is 39/10.

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Answer:

30 students

Step-by-step explanation:

40% boys and 12 boys so 60% is girls

40/100=12/x

x=30

30-12 is 18

so 30 students, 12 boys, and 18 girls.

Answer: 65

Step-by-step explanation: VT•5= v’T’

13•5= V’T’ 13•5=65

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

Answer: $21.99

Step-by-step explanation:

First, we need to solve for the total cost of 4 packs of football cards

We can either do: $3.97+$3.97+$3.97+$3.97

or

$3.97 x 4

This will equal: $15.88

Now we need to add $6.11 to $15.88

$6.11+$15.88

$21.99

Answer:

8.4

Step-by-step explanation:

y = -3.7x+1

Let x=-2

y = -3.7(-2) +1

  = 7.4 +1

   = 8.4

Answer: y=8.4

Step-by-step explanation: equation y=-3.7x+1

given: x=-2

we are going to use subsitution and plug in x=-2 for x

y=-3.7(-2)+1

y=8.4

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

The answer is C (20).

Step-by-step explanation:

First, take the 8 away. That leaves us with the number 10 instead of 18. Now, we are going to double the number 10 since Jordan donated half of his shoes. That leaves us with the answer 20.

HOPE THIS HELPS!!! PLEASE VOTE BRAINLIEST!!!

In response to the query, we can state that As a result, the following is equation the system of equations' solution: x = 8 \sy = -7

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

We can use the substitution or elimination methods to find the values of x and y in this system of equations. We shall apply the elimination approach in this case:

-3y - 4x = -11 (equation 1) (equation 1)

3y - 5x = -61 (equation 2) (equation 2)

By combining equations 1 and 2, we may remove the y variable:

-3y -4x + 3y - 5x = -11 - 61

Streamlining the left side:

-9x = -72

-9 divided by both sides:

x = 8

Knowing that x = 8 allows us to solve for y by introducing this number into either equation. Consider using equation 1:

-3y - 4(8) = -11

Simplifying:

-3y - 32 = -11

32 more on both sides:

-3y = 21

By -3, divide both sides:

y = -7

As a result, the following is the system of equations' solution:

x = 8 \sy = -7

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1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

<1 = 50

<2 = 130

Step-by-step explanation:

<1 and 130 are supplementary angles

<1 + 130 = 180

<1 =180-130

<1 = 50

130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<2 = 130

Step-by-step explanation:

Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding

Now with measure angle 1, it is a supplementary angle

Let 1 stand for measure angle 1

\(130 + m1 = 180\)

Subtract 130° from both sides

\(m1 = 50\)

Answer:

We conclude that only option B is true.

i.e. The sum of points B and C is greater than point A

Step-by-step explanation:

Given the location of points on the left side of the number line

A=-6

B=-5

Given the location of points on the right side of the number line

C=3

D=4

Checking the statement A

The sum of points A, B, C, and D is greater than zero.

i.e. A+B+C+D > 0

-6 + -5 + 3 + 4 > 0

-11+7 > 0

-4 > 0

Thus,, this statement is false

Checking the statement B

The sum of points B and C is greater than point A

B+C>A

-5+3 > -6

-2 > -6

Thus, this statement is true.

Checking the statement C

The sum of points A and B is greater than point C

A+B > C

-6 + -5 > 3

-11 > 3

Thus, this statement is false

Checking the statement D

The opposite of point A is less than point D

As

A = -6

opposite of point A = -(-6)=6

The opposite of point A < D

                   6 < 4

Thus, this statement is false

Therefore, we conclude that only option B is true.

i.e. The sum of points B and C is greater than point A

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

the c.o.p is 14.25

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

The table of value for the given function is written and graphed below

The function s(x) = -0.7x^2 can be evaluated for different values of x to obtain corresponding values of s(x). We can create a table of values for s(x) by choosing a range of x-values and then plugging them into the equation and evaluating.

The table of values for the function s(x) = -0.72x^2 is

x s(x)

-5 -17.5

-4 -11.2

-3 -6.3

-2 -2.8

-1 -0.7

0 0

1 -0.7

2 -2.8

3 -6.3

4 -11.2

5 -17.5

We can use this value to plot a graph using a graphing calculator

Kindly find the attached graph below

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Answer:

3x100-4

Step-by-step explanation:

3x100=300

(3x100)-4

300-4

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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