Use the following formulas to answer the questions below:T(M,R) = R +0.6(M-R)M(x) = 220 - 2where R-resting heart rate, M = maximum heart rate, and x = ageRecall our discussion of heart rate and composition of functions from the end of the section. Find the trainingheart rate function, T(M) for a person with a resting heart rate of 62 beats per minute, then find the following.a. Find the maximum heart rate function, M(x) for a person 2 years of age.M(x) =_____b. What is the maximum heart rate for a 21-year-old person?The max heart rate for a 21 - year-old person is ____ beats per minute.c. What is the training heart rate for a 21-year-old person with a resting heart rate of 62 beats per minute?The training heart rate for a 21-year-old person with a resting heart rate of 62 beats per minute isper minute.beatsd. What is the training heart rate for a 27-year-old person with a resting heart rate of 62 beats per minute?The training heart rate for a 27-year-old person with a resting heart rate of 62 beats per minute is beatsper minutee. What is the training heart rate for a 36-year-old person with a resting heart rate of 62 beats per minute?The training heart rate for a 36-year-old person with a resting heart rate of 62 beats per minute is beatsper minute.

Answer:

Statement 4 is true

Step-by-step explanation:

( a ) The null hypothesis, represented by \(H_{0}\), should be equivalent to 0.6 pounds per square inch, considering it normally is predicted to be equivalent to the population parameter, which, in this case, is 0.6 psi ( pounds per square inch. ) The alternative hypothesis on the other hand contradicts the null hypothesis, and as the manager feels the pressure has been reduced, the alternative hypothesis points that the pressure is less than 0.6 psi -

\(H_0: stigma = 0.7,\\H_a: stigma < 0.7\)

stigma is represented by the sign ( σ )

( b ) Now if you were to reject the null hypothesis when true, that would lead to a type I error. That would mean that to reject the fact that σ = 0.7, and accept that σ < 0.7, even though σ = 0.7 is true, would make a type I error.

_______

( c ) A type II error is quite the opposite. Accepting the null hypothesis while rejecting the alternative hypothesis would make a type II error.

From the information given and using error concepts, it is found that:

a)

The null hypothesis is \(H_0: \sigma = 0.6\)

The alternative hypothesis is \(H_1: \sigma < 0.6\)

b) It would mean a conclusion that the standard deviation is of less than 0.6 psi when in fact it is not.

c) It would mean a conclusion that the standard deviation not significantly less than 0.6 psi when in fact it is.

At the null hypothesis, we test if the standard deviation is of 0.6 psi, that is:

\(H_0: \sigma = 0.6\)

At the alternative hypothesis, we test if variability has been reduced, that is, if the standard deviation is of less than 0.6 psi, hence:

\(H_1: \sigma < 0.6\)

Item b:

A Type I error happens when a true null hypothesis is rejected, hence, it would mean a conclusion that the standard deviation is of less than 0.6 psi when in fact it is not.

Item c:

A Type II error happens when a false null hypothesis is not rejected, hence, it would mean a conclusion that the standard deviation not significantly less than 0.6 psi when in fact it is.

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AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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àaaaaaaaaaaaass la verdad no se

Answer:

5 units up.

Step-by-step explanation:

So, we originally had:

\(f(x)=x^2\)

And it became:

\(m(x)=x^2+5\)

Since we added 5 to the function, this represents an upwards shift. So, the function is shifted upwards by 5.

Notes:

If the function was shifted five units to the left, then the new equation would be:

\(m(x)=(x+5)^2\)

ANSWER

Option C

The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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Answer:I think It may be B 4.2%

Step-by-step explanation:

Answer:

that would be 57

Step-by-step explanation:

because im smart

Considering the peaks of the graph of the sinusoid function, it is found that it's period is of 2.

The period of a function is given by the distance between it's repetitions.

In this problem, considering the peaks as the repetitions, the period is given by:

P = 4 - 2 = 2.

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Answer:

25

Step-by-step explanation:

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

Karen invested $1800 - $6000 = $<<1800-6000=4200>>4200 in Fund B.

Step-by-step explanation:

To calculate the amount that Karen invested in Fund B, we can set up the following equation:

(0.01 * 6000) + (0.04 * x) = 0.03 * (6000 + x)

Where x is the amount of money that Karen invested in Fund B. We can solve for x by rearranging the terms in the equation as follows:

0.01 * 6000 + 0.04 * x = 0.03 * 6000 + 0.03 * x

Subtracting 0.03 * x from both sides gives us:

0.01 * 6000 + 0.04 * x - 0.03 * x = 0.03 * 6000 + 0.03 * x - 0.03 * x

Combining like terms on the left side gives us:

0.01 * 6000 + 0.01 * x = 0.03 * 6000

Dividing both sides by 0.01 gives us:

6000 + x = 1800

Subtracting 6000 from both sides gives us:

x = 1800 - 6000

Therefore, Karen invested $1800 - $6000 = $<<1800-6000=4200>>4200 in Fund B.

Deciding if each statement about a and b is true or false.

a)False

b)True

c)True

d)False

Given:

The quotient of a and b is negative.

a.

If quotient is negative means the dividend or divisor any one is negative so when the quotient b+a is always negative so given statement is false.

b.

The product ab is always negative because if the quotient is negative means either a or b is negative so ab is negative.

So given statement is true.

c.

Either a or b must be negative is true because if no element a or b is not negative we cannot produce a negative quotient hence either a or b must be negative.

d.

The quotient -a+b is negative is false because if the quotient is negative the values of a and b is one positive and one negative the positive number that is b greater than -a in that case the statement is false.

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The value of baseball cards is increasing by 35% per year.

Option A is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

The value of a baseball card in dollars is given by,

0.35y + 0.15

Where y is the number of years since it was released.

This means,

The value of the baseball card is 0.15.

There is a yearly increase of 35%.

35% = 35/100 = 0.35

Thus,

The value of baseball card is increasing at 35% per year

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Answer:

Step One: subtract 4x from both sides

Step Two: divide both sides by -9

Answer:

Person above me is correct

Step-by-step explanation:

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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\(67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}\)

Answer:

A

Step-by-step explanation:

All triangles angles add up to 180°

Answer:

<A = 60°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 13)° = 118°

7y + 13 = 118°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<A = 4y

<A = 4 * 15

<A = 60°

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:

i need to know this one fast i cant get past this mastery test

Step-by-step explanation:

The inverse of a function is the opposite of the function

From the graph, we have the following ordered pairs

When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs

This means that the inverse of the function passes through the above points

See attachment for the graph of the inverse function

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A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Answer:

x = 4/5

Step-by-step explanation:

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

For what I can’t see the page or equation?

Step-by-step explanation: