The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.

P=160-70*cos(2π*(1/12)*t)

• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

First, we find the amplitude by taking the difference between the peak values and dividing by two:

Amplitude=(230+90)/2=70

We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:

90+70=160

230-70=160

This tells us that the Center Value=160

The frequency that we are operating at is given as:

f = 5/hour

so in minutes

f=5*(1/60)/minute=5/60=1/12 per minute

So, combining everything we get

P=160-70*cos(2π*(1/12)*t)

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Answer:

16c

Step-by-step explanation:

Answer:

subtract 2 (- 2)

Step-by-step explanation:

the term to term rule is the change between each term in this series.

from 15 to 13, we subtract 2 (-2)

from 13 to 11, we subtract 2 (-2)

from 11 to 9, we subtract 2 (-2)

from 9 to 7, we subtract 2 (-2)

So, this is the term to term rule: subtract 2

Next term as per term rule of arithmetic progression is 5.

" Arithmetic progression is defined as the difference between two consecutive term is constant. Difference is known as common difference."

General form of Arithmetic progression

a, a + d, a + 2d , ........, a + nd

Common difference 'd' = \(a_{n} -a_{n-1}\)

According to the question,

Given terms are,

15, 13, 11, 9, 7

\(a_{1} =15\\\\a_{2} = 13\\\\a_{3} = 11\\\\a_{4} = 9\\\\a_{5} = 7\)

Common difference = \(a_{2} -a_{1}\)

                                 = 13 - 15

                                 = -2

Common difference = \(a_{3} -a_{2}\)

                                  = 11 - 13

                                  = -2

Given sequence is arithmetic progression with common difference -2

Next term after 7 as per term rule of arithmetic progression is

\(a_{6} = 7-2\)

   = 5

Hence, Next term as per term rule of arithmetic progression is 5.

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Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

7, 10

Step-by-step explanation:

First, you can list out the factors of 70: 1 x 70

                                                                2 x 35

                                                                5 x 14

                                                                7 x 10

You can immediately see that the only factor pair that adds up to 17 is 7 and 10, so the answer is 7 and 10.

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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Answer:

No or Less than

Step-by-step explanation:

No. 10*3/4 is not. 3/4 is less than 1, so it is not equal Your answer is less than.

Hope this helps Hit that crown !!!

Answer:

I think the answer is greater than

Answer:

(3x² + 8x)sin x + (4x² - 6x)cos x

Step-by-step explanation:

d/dx (4x^2sin x - 3x^2cos x) =

= 4x² × d/dx sin x + sin x × d/dx 4x² - (3x² × d/dx cos x + cos x × d/dx 3x²)

= 4x² × cos x + sin x × 8x + 3x² × sin x - cos x × 6x

= 4x² cos x + 8x sin x + 3x² sin x - 6x cos x

= (3x² + 8x)sin x + (4x² - 6x)cos x

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

x= 18,0

Step-by-step explanation:

The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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The college student can spend $35 in December to achieve his goal of a mean spending of $60 per month for the remaining five months.

To find out how much the college student can spend in December, we need to consider the total amount he has already spent in the first four months and his goal of having a mean spending of $60 per month for the remaining five months.

Let's calculate the total amount spent in the first four months:

Total spent = $65 + $55 + $70 + $75 = $265

The student's goal is to spend a mean of $60 per month for the remaining five months. Since there are five months remaining, the total amount he plans to spend is:

Total planned spending = $60 * 5 = $300

To find out how much he can spend in December, we subtract the total spent in the first four months from the total planned spending:

Amount he can spend in December = Total planned spending - Total spent

= $300 - $265

= $35

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Check the picture below.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

ang sentimeter ay ang tamang yunit ng pagsukat para sa pagsukat sa lugar ng isang panyo

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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C(F(75)) represents the cost of gas for a vehicle with a fuel efficiency of F(75) when the vehicle is traveling at a certain speed of 75 miles per hour.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since Let F(s) is the Fuel efficiency for a vehicle when the vehicle is traveling at a certain speed and C(F) is the cost of gas for a vehicle with a certain fuel efficiency.

Therefore, we can say C(F(75)) represents the cost of gas in U.S dollars for a vehicle with a fuel efficiency of F(75) miles per gallon when the vehicle is traveling at a certain speed of 75 miles per hour.

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Answer:

I think the answer is "6" but I could be wrong.

Answer:

.

Step-by-step explanation:

Answer:

0.0025

Step-by-step explanation:

Answer:

74,76,78,80,82

Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer:

Step-by-step explanation:

Given two segment measures in a right triangle diagram, you want the values of the other measures.

The Pythagorean theorem can be used to find y:

  BC² = BD² +CD²

  65² = y² +25²

  y² = 65² -25² = 3600

  y = √3600 = 60

The proportionality of corresponding sides in similar triangles can be used to find the remaining measures.

  short side/hypotenuse = 25/65 = 65/(25+x)

  25 +x = 65²/25 = 169

  x = 144

And for z, we can use ...

  long side/hypotenuse = AB/AC = BD/BC

  z/169 = 60/65

  z = 169(12/13) = 156

The triangle measures are ...

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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An Annual is not an example of an agreement.

Answer:

-9

Step-by-step explanation:

The other numbers are floating point numbers