Jazzmen's heart rate is 47 beats per minute. If this is her average heart rate, how
many times will her heartbeat in 50 years?

The response is B) 5√6 in accordance with the provided assertion.

The hypotenuse of a right triangle is its longest side; its "opposite" side is the side that confronts the angle in issue; and its "adjacent" half is the side that faces it.

In a 45°-45°-90° triangle, the two legs are congruent, and the hypotenuse is equal to the leg multiplied by √2.

In this case, the leg length is given as 5√3.

Thus, the hypotenuse will have the following length:

hypotenuse = leg x √2 = 5√3 x √2 = 5√(3 x 2) = 5√6

Therefore, the answer is B) 5√6.

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Answer:

3

Step-by-step explanation:

To evaluate |3b - 4a| substitute a = -3 and b = -5 in the given expression.

|3(-5) - 4(-3)| , multiply

|-15 +12| , add

|-3| , take the -3 out of the absolute value

3

Hey there!

|3b - 4a|

= |3(-5) - 4(-3)|

= |-15 - (-12)|

= |-15 + 12|

= |-3|

= |3|

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

1) The 6th term of the geometric sequence is;  a₆ = 486

2) The 9th term of the geometric sequence is; a₉ = 729

The formula for the nth term of a geometric sequence is;

aₙ = a₁rⁿ⁻¹

where;

a₁ is first term

r is common ratio

n is position of term

1) The parameters are;

First term; a₁ = 2

common ratio; r = 3

Thus, the 6th term is;

a₆ = 2 * 3⁶⁻¹

a₆ = 2 * 3⁵

a₆ = 486

2) The parameters are;

First term; a₁ = 1/3

common ratio; r = 3

Thus, the 9th term is;

a₉ = (1/3) * (3)⁸⁻¹

a₉ = (1/3) * 3⁷

a₉ = 729

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4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

Answer:

\(h = 8 \: ft\)

Step-by-step explanation:

Height of trapezoid formula:

\(h = 2 \times \frac{area}{a + b} \)

Given:

Area: 40 square feet

a: 6 feet

b:4 feet

Using the given information,

\(h = 2 \times \frac{40}{6 + 4} \)

Add the numbers in the denominator

\(h = 2 \times \frac{40}{10} \)

Reduce the fraction with 10

\(h = 2 \times 4\)

Answer:

\(h = 8 \: feet\)

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

yes

Step-by-step explanation:

Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.

(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.

The test statistic is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).

Plugging in the values, we get:

t = (1.36 - 1.3) / (0.18 / √30) = 1.47

The degrees of freedom for this test is n - 1 = 29.

Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.

Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.

Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.

Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

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The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

The value is   \(Z_{\frac{\alpha }{2} } =  1.96\)

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Answer:

a) -20/11 b) -10/7

Step-by-step explanation:

a) m=(y2-y1)/(x2-x1)

m=(-4-16)/(4-(-7))

m=-20/(4+7)

m=-20/11

b) m=(y2-y1)/(x2-x1)

m=(-10-(-20))/(-12-(-5))

m=(-10+20)/(-12+5)

m=10/-7

m=-10/7

The simplified form of the expression (2 1/6 ) × (1 1/3) is 26/9.

Given the expression in the question;

(2 1/6 ) × (1 1/3)

To simplify, first convert from mixed to improper fraction.

(2 1/6 ) × (1 1/3)

( (2×6 + 1)/6 ) × (1 1/3)

( (12 + 1)/6 ) × (1 1/3)

( 13/6 ) × (1 1/3)

( 13/6 ) × (1×3 + 1/3)

( 13/6 ) × (3 + 1/3)

( 13/6 ) × (4/3)

Now, cancel the common factor 2.

13/6 × 4/3

13/3 × 2/3

( 13 × 2 ) / ( 3 × 3 )

( 26 ) / ( 9 )

26/9

Therefore, the simplified form is 26/9.

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Answer:

The smallest angle in this quadrilateral is 36°.

Step-by-step explanation:

\(x + 2x + 3x + 4x = 360\)

\(10x = 360\)

\(x = 36\)

So x, the smallest angle in this quadrilateral, is 36°.

Answer:

At Segment A, the elevator is going up so the rate of change is positive. The incline of the line explains that there is constant velocity.

At Segment B, the elevator is standing still so the rate of change is 0. There is no incline or decline of the line (flat) which explains that the elevator is not moving.

At Segment C, the elevator is going up so the rate of change is negative. The decline of the line explains that the elevator is going down at a constant speed.

Answer:

ereee

Step-by-step explanation:

Answer:

c.

g(x)=-3/x

Step-by-step explanation:

Answer:

\(\alpha=1-0.96 =0.04\)

And \(\alpha/2= 0.02\) and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

\(z_{\alpha/2}= \pm 2.054\)

Step-by-step explanation:

For this case we want to find the limits with the middle 96% of the area below the normal curve, then the significance level would be:

\(\alpha=1-0.96 =0.04\)

And \(\alpha/2= 0.02\) and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

\(z_{\alpha/2}= \pm 2.054\)

Answer:

C. 2532

Step-by-step explanation:

120 people out of 200 surveyed is 60%

60% of 4220 people = 2532

hope this helps, brainliest plz

Check the picture below.

Answer:

34191.7πin³/sec

Step-by-step explanation:

Volume of circular come = 1/3pi x r² x h

When we differentiate this formula we have

dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]

We have the following information

r = 138

H = 143 inch

dr/dt = 1.4

dh/dt = -2.8

When we plug into the formula

1/3π[130² x -2.8 + 2x138x143x1.4]

= 34191.7πin³/sec

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

i think it's

A)8.3

Step-by-step explanation:

You add the 4 and the 8 thats12. and than u go 100÷12=8.3

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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Answer:

2y - x = 8  

Step-by-step explanation:

First get the slope of the line given

y=-2x+5

From the line, slope m = -2

The slope of the required line M = -1/-2 = 1/2

Substitute the point (-4, 2) and m = 1/2 into the point slope equation;

y - y0 = m(x-x0)

y - 2 = 1/2(x+4)

2(y-2) = x+ 4

2y - 4  = x+4

2y - x = 4+4

2y - x = 8

Hence the equation of this perpendicular line is 2y - x = 8  

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

Answer:

m = 1026.67

Step-by-step explanation:

Selling Price of the House = $225000

Down Payment = 15%

Annual Percentage Rate = 4% or 0.04

Number of Payments per year (n) = 12

Time in years (t) = 30 years

Amount of Mortage = 225000 - 33750 = 191250

Montly Principle and interest payment for the mortage = $1026.67

Answer:

The total she is paying in interest for the next 30 years is 370, 500

Step-by-step explanation:

285,000 x 10= 28,500

285,000 x 04= 11,400

11,400 x 30= 342,000

342,000+28,500= 370, 500

Answer:

Step-by-step explanation:

The sides are x and x - 1

The area is:

Answer:

29 and 31

Step-by-step explanation:

What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31