A hockey puck has a mass of 0.09 kg and is
at rest. A hockey player makes a shot,
exerting a constant force of 28.8 N on the
puck for 0.12 s. With what speed does it
head toward the goal?

First what I did was take out the 5 dollars. So I did 25 minus 5.

25 - 5 = 20

Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.

20 / 1.25 = 16

Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.

HOPE THIS HELPS! :)

Answer:

(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.

Step-by-step explanation:

In Triangle MNO

\(\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)

In Triangle RST

\(\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)

Therefore:

Triangle NMO is congruent to triangle TSR; and

Triangle NMO is congruent to triangle TRS

This is because

\(\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .\)

The correct option is A.

Answer:

A

Step-by-step explanation:

Just did the test.

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The number 0.9  tells us about the patient's flossing behavior. The patient floss their teeth completely once time a day.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given equation is

y = 7(0.9) +7

Which estimates the actual times the patient flossed weeks after the procedure.

They floss their teeth properly one time a day.

But they don't floss their teeth properly one time a day.

They do 0.9 = 90% floss their teeth.

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Given that IJKL is a square, Option A is correct. x = 2 and y = 8.

To solve for x and y, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of the sides of the square IJKL is equal to the hypotenuse, so the theorem simplifies to x^2 + y^2 = IJKL^2.

Given that IJKL is a square, we know that IJKL = x = y, so we can substitute x for IJKL in the equation above and solve for x.

x^2 + x^2 = IJKL^2 becomes 2x^2 = IJKL^2

and x^2 = IJKL^2/2.

Since IJKL = x, x^2 = x^2/2, and 2x^2 = x^2, so x = √2.

And since IJKL = y, y = √2 as well. So, x = 2 and y = 8.

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Hey there!☺

\(Answer:\boxed{\text{Base}}\)

\(Explanation:\)

The whole number you see there is called the base. 10 is representing as the base and has a power on top of it. With the base, you multiply the 10 by as many times depending on the power.

So 10 is representing as the base.

Hope this helps!☺

Hello! :)

10 represents as the base and 4 represents as the power. When you see a big number with an power on top, then the big number would be called the base.

The answer would be Base.

Hope this helped you!

THEDIPER

Answer:I think 4th option

Answer:

The roots are real and distinct.

Step-by-step explanation:

Given the following equation:

\(x^{2} + kx - k -2 =0\)

In this problem, a = 1, b = k and c = -k - 2

The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.

We get,

(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)

= k² + 4k + 8

Let's check:

At k = -2,

\((-2)^{2} + 4(-2) + 8 = 4 - 8 + 8 = 4 \)

At k = 0,

\((0)^2 + 4(0) + 8 = 8 \)

At k = -100,

\((-100)^2 + 4(-100) + 8 = 10,000 - 400 + 8 = 9608\)

Therefore, we can conclude that for all values of k, the roots are real and distinct.

This has been a long way in answering this question, so it would be great if you could mark me as brainliest

Answer:

128 degrees

Step-by-step explanation:

38+90=128

The fraction in simplest form that represents the linear inequality "The sum is greater than 8" is y/1 > (8 - x)/1.

What are linear inequalities, exactly?

Linear inequalities are mathematical expressions that describe a relationship between two values or variables, where one value is greater than, less than, or equal to the other value. They are similar to linear equations, but instead of an equal sign, they contain an inequality symbol (<, >, ≤, or ≥).

A linear inequality can be written in the form:

ax + b < c

or

ax + b > c

where "x" is the variable, "a" and "b" are constants, and "c" is a constant value.

Now,

The sum is greater than 8 can be written as the inequality:

x + y > 8

To write this as a fraction in simplest form, we need to convert it into an equation in the form of "numerator/denominator".

y > 8 - x

Then, we can write this as a fraction by putting "y" over "1":

y/1 > (8 - x)/1

To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 1:

y/1 > (8 - x)/1

y > 8 - x

So the fraction in simplest form that represents the inequality "The sum is greater than 8" is:

y/1 > (8 - x)/1

or equivalently:

y > 8 - x

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The operation * in the expression  a*b = ab/4 + a + b is associative.

∗ is association if (a∗b)∗c = a∗(b∗c)

(a∗b)*c =  (ab/4*c)/4 = abc /16

​a∗(b*c) =  (a x (bc/4))/4 = abc /16

​Since (a∗b)∗c=a∗(b∗c)∀a,b,cϵQ

∗ is an associative binary operation.

Since addition is also associative.

So here a*b = ab/4 + a + b is also associative.

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Answer:

f(x) = -x + 1

0 = -x + 1

x = 1

Step-by-step explanation:

You put 0 in place of f(x).

answer: since they are linear pair therefore

x+34+ 2x+2=180

3x+36=180

3x=144

x=48°

Step-by-step explanation:

second opinion: ex are useless forget them

Answer:

B) x=48

Step-by-step explanation:

Hope it helps

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Step-by-step explanation:

In any triangle, there are at least two acute angles

The types of triangles according to their angles are:

The types of triangles according to their sides are:

You can classify the type of the triangle according to its angle using the measuring of its sides.

If a triangle has sides length a, b, c where c is the longest side

∵ a² + b² > c²

∴ The triangle is an acute-angled triangle

∵ a² + b² = c²

∴ The triangle is a right-angled triangle

∵ a² + b² < c²

∴ The triangle is an obtuse-angled triangle

You can classify the type of the triangle according to its sides using the measuring of its sides.

If a triangle has sides lengths a, b, c

∵ a, b, c have unequal lengths

∴ The triangle is scalene

∵ a and b or a and c or b and c have equal lengths

∴ The triangle is Isosceles

∵ a, b, c have equal lengths

∴ The triangle is equilateral

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Answer:

Step-by-step explanation:

\(A=LW\\ \\ A=(x+8)(2x-1)\\ \\ A=2x^2-x+16x-8\\ \\ A=2x^2+15x-8\)

Answer:

18 Weeks

Step-by-step explanation:

$39.50=17 + (5*x)

$39.50-17=17-17 + (5*x)

$22.5/5=(5*x)/5

It will take 4.5 months to save up. If each month has 4 weeks it will take 18 weeks

Correct option is A. The value of f(3) is -11

The value of x = 3 corresponds to the following function on the piece wise

\(f(x) = -3x -2\)

Substitute 3 for x

\(f(3) = -3(3) -2\)

Expand

\(f(3) = -9 -2\)

Evaluate -9 -2

\(f(3) = -11\)

Hence, the value of f(3) is (a) -11

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Answer: A.) -11

Step-by-step explanation: i hope this helps :)

Answer:

3^14

Step-by-step explanation:

Multiplication of two values with same base and different exponent:

When we are multiplicating two values with the same base and different exponents, we keep the base and add the exponents. For example:

In this question:

For your question, the answer would be D.

The correct option is (E) comparing several treatments and using the chance to assign subjects to treatments.

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

The statement is:

The statements that are essential features of all statistically designed experiments

The features are shown in the picture.

As we know, from the definition of statistics, the study of collecting data, analysis, understanding, representation, and organization.

Utilizing the opportunity to randomly assign participants to treatments while comparing various treatments

Thus, the essential feature of all statistically designed experiments is comparing several treatments and using the chance to assign subjects to treatments option (E) is correct.

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Answer:

Smallest number = 15

Second number = 177

Third number =     109

Step-by-step explanation:

Givens

Let the first number = x

Let the second number = 12x - 3

Let the third number = 7x + 4

Equation

x + 12x - 3 + 7x +4 = 301                 Combine like terms

Solution

20x + 1 = 301                                  Subtract 1 from both sides

20x = 301 - 1                                  Combine

20x = 300                                      Divide by 20

x = 300/20

x = 15

Answer:

  (b)  $467.30

Step-by-step explanation:

You want the interest due after 15 months on a $6000 loan at 6%, compounded continuously.

The formula for interest due on the loan is ...

  I = P(e^(rt) -1)

where P is the principal amount of the loan at annual rate r for t years.

For this loan, the interest due is ...

  I = $6000(e^(0.06·(15/12)) -1) ≈ $467.30

The interest owed is ...

  (b)  $467.30

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The tax rate is 8%.

This means that 8% of the purchase amount ($75) is equivalent to the tax amount ($6).

To find the tax rate, we can use the formula:

Tax Rate = (Total Tax Amount / Total Purchase Amount) * 100

Given that Lamar bought $75 worth of clothes and paid $81, the total tax amount can be found by subtracting the purchase amount from the total payment:

Total Tax Amount = Total Payment - Total Purchase Amount

= $81 - $75

= $6

Now, we can substitute the values into the tax rate formula:

Tax Rate = ($6 / $75) * 100

= (0.08) * 100

= 8%

The tax rate is 8%.

This means that 8% of the purchase amount ($75) is equivalent to the tax amount ($6).

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Answer:

Yes, there is. It's called a regular 52-gon.

The general solution is: yh = C1x^-1 + C2x^-3.

Given the differential equation x²y′′ + 5xy′ + 3y = 0, we need to find the general solution. Here are the steps to find the general solution:

Step 1: Find the indicial equation of the differential equation.

Step 2: Find the roots of the indicial equation.

Step 3: Find the general solution using the roots obtained in step 2.

Indicial equation:

The differential equation is x²y′′ + 5xy′ + 3y = 0. Substituting y = xr in the equation, we get:

x²r(r - 1)x^(r-2) + 5xr^(r-1) + 3xr^r = 0

Dividing both sides by x^r, we get the indicial equation:

r(r - 1) + 5r + 3 = r² + 4r + 3 = (r + 1)(r + 3) = 0

Thus, the roots of the indicial equation are r = -1 and r = -3.

General solution:

Case 1: For r = -1:

Substituting r = -1 in the equation y = xr, we get y = x^-1. Therefore, y1 = x^-1.

Case 2: For r = -3:

Substituting r = -3 in the equation y = xr, we get y = x^-3. Therefore, y2 = x^-3.

According to the principle of superposition, the general solution of the given differential equation is given by:

y = C1y1 + C2y2

where C1 and C2 are arbitrary constants.

Therefore, the general solution is:

yh = C1x^-1 + C2x^-3.

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The equation of the ellipsoid is\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

The equation of an ellipsoid is represented as:

\(\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

Given that the ellipsoid passes through the points (±6,0,0),(0,±7,0) and (0,0,±5)

It means that:

(±a,0,0)  = (±6,0,0)

(0,±b,0) = (0,±7,0)

(0,0,±c) = (0,0,±5)

By comparison, we have:

±a=±5

±b=±6

±c=±7

So, the equation of the ellipsoid becomes:

\(\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1\)

By substituting the values, the equation of the ellipsoid becomes is

\(\frac{x^{2} }{36}+\frac{y^{2} }{49} +\frac{z^{2} }{25} =1\)

.An ellipse is the set of all points on a plane whose distance from two fixed points F and G add up to a constant. In an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis.For  a circle both these have the same value.

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