Answer:
Step-by-step explanation:
the second option.
The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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What is the common difference, d, of the sequence?
-15,-4,7,18,29
Enter your answer in the box.
d =
Answer:
d=11
Step-by-step explanation:
-4--15=11
7--4=11 and so on
PLEASE ANSWER I WILL MAKE U BRAINLIST
Show steps thank you.
Answer:
x = 2 and y = 0
Step-by-step explanation:
Let's solve your system by elimination.
2x−3y=4;4x+3y=8
2x−3y=4
4x+3y=8
Add these equations to eliminate y:
6x=12
Then solve 6x=12 for x:
6x=12
x = 2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
2x−3y=4
Substitute 2 for x in 2x−3y=4:
(2)(2)−3y=4
−3y+4=4 (Simplify both sides of the equation)
−3y+4+−4=4+−4 (Add -4 to both sides)
−3y=0
y = 0
solve for x: 2 < x + 4 < 4
Answer: −2<x<0
Step-by-step explanation: 2<x+4<4 2+−4<x+4+−4<4+−4 −2<x<0
Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of
vinegar in a jar. She then pours 3 1/4 fluid Ounces of the dressing onto her salad.
How much dressing remains in the jar?
Answer:
6 11/24
Step-by-step explanation:
Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa
A paper company has 30 boxes of paper ready to ship.
There are 27,000 pieces of paper in the boxes.
If each box has an equal number of pieces of paper, how many pieces of paper are in each box?
Answer:
900
Step-by-step explanation:
\(\frac{27000}{30}=900\)
darryl can paint a room in 9 hours. valerie can paint the same room in 15 hours. how long does it take for both darryl and valerie to paint the room it they are working together?
It will take 5.625 hours for both Darryl and Valerie to paint the room if they work together .
In the question ,
it is given that ,
Darryl can paint the room in 9 hours .
So , in 1 hour Darryl can paint 1/9 of the room .
Valerie can paint the room in 15 hours .
So , in 1 hour Valerie can paint 1/15 of the room .
So , the time taken to paint the room together can be calculated using ,
1/t = 1/9 + 1/15
1/t = 5/45 + 3/45
1/t = 8/45
Simplifying further ,
we get ,
t = 45/8
t = 5.625
Therefore , the time taken will be 5.625 hours .
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What are the domain and range of
The domain and range is ,Range: |x+3|0y|[-2,+] Domain: xR .
Pictures for Describe the scope and domain of?What are the steps to finding an equation's domain and range, We can easily identify the values of the independent variable x and the domain by solving the equation y = f(x). The range may then be found by solving for x. Expressing x as x=g(y) and then determining the domain of g allows us to determine the function's range (y).The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range.Explanation:
x=R Range: y=(0,+) Domain: y=2
y=x²-4
Range: y'=(x2-4)'=2x x=0,y(0)=02-4=-4 y(-4,+)
y=x²+4x+3
Domain: xR Range: (x2+4x+3)
'=2x+4 ⇒ x=-2,y(-2)=(-2) (-2)
²+4(-2)
+3=4-8+3=-1 \sy∈(-1,+∞)
Domain: x-20x2 x[2,+) Range: y[0,+)
Domain: 4 x 2 0 x 2 4 x 2 2 [-2, +2]
x24y[0,2] range
y=|x+3|-2
Range: |x+3|0y|[-2,+] Domain: xR
The complete question is,
Determine the graphs' scope and range: y=2x y=x2-4
y=x^2+4x+3
y=sqrt(x-2)
y=sqrt(4-x^2)
y=|x+3|-2 ...?
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The domain and range is ,Range: |x+3|0y|[-2,+] Domain: xR .
Pictures for Describe the scope and domain of?What are the steps to finding an equation's domain and range, We can easily identify the values of the independent variable x and the domain by solving the equation y = f(x). The range may then be found by solving for x. Expressing x as x=g(y) and then determining the domain of g allows us to determine the function's range (y).
The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range.
x=R Range: y=(0,+) Domain: y=2
y=x²-4
Range: y'=(x2-4)'=2x x=0,y(0)=02-4=-4 y(-4,+)
y=x²+4x+3
Domain: xR Range: (x2+4x+3)
'=2x+4 ⇒ x=-2,y(-2)=(-2) (-2)
²+4(-2)
+3=4-8+3=-1 \sy∈(-1,+∞)
Domain: x-20x2 x[2,+) Range: y[0,+)
Domain: 4 x 2 0 x 2 4 x 2 2 [-2, +2]
x24y[0,2] range
y=|x+3|-2
Range: |x+3|0y|[-2,+] Domain: xR
The complete question is,
Determine the graphs' scope and range: y=2x y=x2-4
y=x^2+4x+3
y=sqrt(x-2)
y=sqrt(4-x^2)
y=|x+3|-2 ...?
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Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4
Last week, Darnell ran 5 laps around the lake. Brianna ran 1 1/5 times as many laps around the lake as Darnell did. How many laps around the lake did Brianna run?write your answer as a fraction or as a whole or mixed number.
Determine the number of laps Brianne run.
\(\begin{gathered} 1\frac{1}{5}\times5=\frac{5\cdot1+1}{5}\times5 \\ =\frac{6}{5}\times5 \\ =6 \end{gathered}\)So Brianne run 6 laps around the lake.
2 Shape 1 and Shape 2 are congruent pentagons.
Shape 1
Shape 2
Shape 2 is congruent to Shape 1 because -
A.
Shape 2 is a translation of Shape 1.
B. Shape 2 is a reflection of Shape 1.
C. Shape 2 is a rotation of Shape 1.
D. Shape 2 and Shape 1 are both pentagons.
Option B) is correct that is shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.
We know that two figures or objects are congruent if they have the same shape and size or they are the mirror image of each other.
Translation : It simply means moving. Every point should be moved in same distance and in same direction
Rotation : It means turning around a center.
Reflection : In this, the image is of the same size as the pre-image.
So according to the given figure we can see that the shape is not translated or rotated from a center but is reflected as shape 1 is the image of shape 2.
Hence shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.
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Determine if 8.5 represents a solution to the inequality 2x + 3 > 5
yes it is a solution
no it is not a solution
Answer: yes it is a solution
Step-by-step explanation: 2x+3>5 -> x>1
b. Solve 3v – 5 = 2v + 10 by gathering the constant terms on the left side
and the variable terms on the right side of the inequality.
Answer:
so subtract -2v to the left side add 5 to the right side so your left with
v = 15
Answer:
15 = v
Step-by-step explanation:
First start by grouping like terms,
=> - 5 - 10 = 2v - 3v
evaluate the LHS and RHS
=> - 15 = - v
Divide through by the coefficient of v, which in this case is - 1
=>
\( \frac{ - 15}{ - 1} = v\)
Therefore, 15 = v
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
The figure below is made of 2 rectangular prism.
What is the volume of this figure?
Total volume of the shape is 124 cm³
What is a cuboid?A cuboid is a three-dimensional solid shape that has six rectangular faces or sides, where each face meets at a right angle with its adjacent faces.
The formula for the volume of a cuboid is:
Volume = Length x Width x Height
So, the Volume of first cuboid = 3 × 4 × 5 = 60 cm³
and the Volume of second cuboid = 2 × 4 × 8 = 64 cm³
Total volume of the shape = Volume of first cuboid + Volume of second cuboid
Total volume of the shape = 60 cm³ + 64 cm³
Total volume of the shape = 124 cm³
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Building A is 480 feet tall and building B is 654 feet tall. If the angle of depression form the top of building b to the top of building a is 42 degrees, how far apart are the buildings?
Answer:
129.3 feets
Step-by-step explanation:
Using the solution diagram attached below :
The difference in height of the two buildings :
Building B - Building A = (654 - 480) = 174 feets
Using trigonometry :
Cosθ = opposite / Adjacent
Cos 42 = d / 174
d = 174 * Cos 42
d = 129.307
d = 129.3 feets
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
i forgot to attach the photo before.... please help
Part (i)
I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.
The equation we're working with is updated to:
H(t) = 22 + a*2^(bt)
Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.
So,
H(t) = 22 + a*2^(bt)
86 = 22 + a*2^(b*0)
86 = 22 + a*2^0
86 = 22 + a*1
86 = 22 + a
a+22 = 86
a = 86-22
a = 64
Answer: 64=====================================================
Part (ii)
We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).
H(t) = 22 + a*2^(bt)
28 = 22 + 64*2^(b*0.5)
28-22 = 64*2^(0.5b)
64*2^(0.5b) = 6
2^6*2^(0.5b) = 6
2^(6+0.5b) = 6
log( 2^(6+0.5b) ) = log(6)
(6+0.5b)*log(2) = log(6)
6+0.5b = log(6)/log(2)
6+0.5b = 2.5849625
0.5b = 2.5849625-6
0.5b = -3.4150375
b = -3.4150375/(0.5)
b = -6.830075
Answer: Approximately -6.830075The cost of 4 chairs is the same as the cost of 3 tables. If the
cost of one chair is Rs. 48, find the cost of one table.
Answer: 64 Rs
Step-by-step explanation:
Let x be the number of tables
4 x 48 = 3x
192 = 3x
x = 64
The twenty-third term in an arithmetic sequence is and the fifty-third term in the sequence is . What is the thirty-fifth term
The 35th term in the arithmetic sequence is -9.
To find the thirty-fifth term in an arithmetic sequence, we need to use the formula for finding the nth term. This formula is given as:
nth term = a + (n-1)d
Where "a" is the first term in the sequence, "n" is the term number we want to find, and "d" is the common difference between the terms in the sequence.
In this problem, we are given the twenty-third term and the fifty-third term in the sequence, so we can use this information to find the common difference. We can write two equations using the formula above:
23rd term = a + (23-1)d
53rd term = a + (53-1)d
We are given the values for these two terms, so we can substitute them into the equations:
-5 = a + 22d
35 = a + 52d
Now we can solve for "a" and "d" by using these two equations. First, we can subtract the first equation from the second equation:
40 = 30d
Dividing both sides by 30, we get:
d = 4/3
Now we can substitute this value of "d" into either of the two equations above to solve for "a". Let's use the first equation:
-5 = a + 22(4/3)
-5 = a + 88/3
Subtracting 88/3 from both sides, we get:
a = -163/3
Finally, we can use the formula for finding the 35th term in the sequence:
35th term = -163/3 + (35-1)(4/3)
35th term = -163/3 + 34(4/3)
35th term = -163/3 + 136/3
35th term = -27/3
35th term = -9
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Sheridan, Inc has 10200 shares of 5%,€100 par value, cumulative preference shares and 21800 ordinary shares with a $1 par value outstanding at December 31, 2020. There were no dividends declared in 2018 . The board of directors declares and pays a €91800 dividend in 2019 and in 2020 . What is the amount of dividends received by the ordinary shareholders in 2020 ? €51000 €0 ϵ30600 €91800
The amount of dividends received by the ordinary shareholders in 2020 is €0.
In the given information, it is mentioned that Sheridan, Inc has 10,200 shares of 5%, €100 par value, cumulative preference shares and 21,800 ordinary shares with a $1 par value outstanding. It is also stated that a dividend of €91,800 was declared and paid in both 2019 and 2020. However, the question specifically asks for the amount of dividends received by the ordinary shareholders in 2020.
Based on the information provided, the dividends declared and paid are likely to be allocated to the cumulative preference shares rather than the ordinary shares. Cumulative preference shares have a higher priority for dividend payments compared to ordinary shares. Since there were no dividends declared in 2018 and a fixed amount of €91,800 was paid in both 2019 and 2020, it can be inferred that the entire dividend amount is allocated to the cumulative preference shares.
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the population of town a increases by 39% every 6 years. what is the annual percent change in the population of town a?
Using Exponential change, 5.6% is the annual percent change in the population of town A.
If something is increasing or decreasing exponentially over time, the change is very rapid and the exponential graph has a very high slope. The exponential coefficient depends on the percentage increase or decrease.
The population of town A increases 39% 6 years.
Let the initial population of town be "a". Then the population after 6 years will be 1.39a. Letb be the annual percentage change. Then, this case can be mathematically written as:
1.39a = a(1+b/100)⁶
Solve it to find value of b
=> (1.39)⁰·¹⁶ = (1+b/100)
=> 1.056 = 1 + b/100 => 0.056 = b/100
=> b= 5.6
Hence, the annual percentage change in the population in town is 5.6%.
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Please helpp! its due 2 hours!!!
the fitness contest includes a walking challenge. on the first day, each walker starts by walking 2,000 steps. the goal is to add 500 steps per day to reach at least 10,000 steps. angel begins the challenge.
the answer for part a is 17 days she will need to walk to meet the challenge...and help with part b:
part b:
angel decides to exceed the walking-challenge goal faster. describe two
ways you might adjust the inequality in part a to help angel exceed the
goal. give an example and explain.
To answer part b, there are two ways to adjust the inequality in part a to help Angel exceed the goal of the walking challenge faster.
One way to adjust the inequality is to increase the daily step goal. Instead of adding 500 steps per day, Angel could add 750 steps per day, for example. This would mean that Angel would reach the goal of 10,000 steps in fewer days than the original 17 days. Another way to adjust the inequality is to start Angel off with more steps on the first day. Instead of starting with 2,000 steps, Angel could start with 3,000 steps.
Part b of the question asks for two ways to adjust the inequality in part a to help Angel exceed the walking challenge goal faster. The variables in the inequality affect the number of days it takes to reach the goal.
The inequality in part a is:
2000 + 500d ≥ 10000
Another way to adjust the inequality is to start Angel off with more steps on the first day. For example, instead of starting with 2000 steps, Angel could start with 3000 steps. This would change the inequality to:
3000 + 500d ≥ 10000
Solving for d in this case gives:
d ≥ 14
This means that Angel would need to walk for at least 14 days to reach the goal of 10,000 steps. By starting with more steps on the first day, Angel can reach the goal faster because she has fewer days to add steps to reach the goal.
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An event A will occur with probability 0.4. An event B will occur with probability 0.7. The probability that both A and B will occur is 0.2. The conditional probability of A. given B, is O 0.17. O 0.20. O 0.29. O unable to be determined from the information given.
Rounding this value, we get P(A|B) ≈ 0.29. Thus, the correct answer is 0.29.
To answer this question, we need to find the conditional probability of A given B, which is represented as P(A|B). We are given the probabilities of event A and event B occurring, as well as the probability of both events occurring. We can use this information to calculate P(A|B) using the formula:
\(P(A|B) = P(A ∩ B) / P(B)\)
Here, P(A ∩ B) represents the probability of both events A and B occurring, and P(B) represents the probability of event B occurring. We are given the following information:
- P(A) = 0.4
- P(B) = 0.7
- P(A ∩ B) = 0.2
Now we can plug these values into the formula to calculate P(A|B):
\(P(A|B) = 0.2 / 0.7 = 0.2857\)
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What's the area of the circle r=1.2 yd plss help
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
There was a girl named Ashley and her friend ava. They decided to go to the park and ava got apples also Ashley brought . Ashley bought 5 times more than ava how much will it be?
For 10 points Easy!
Answer:
the amswer is five apples
Let p(x) be a polynomial of degree 3. Its derivatives, around the point i = 1, are as follows: p(1) = 75; p' (1) = 45; p(2)(1) = 48; p(3) (1) = 24; = What is the value of P(-2)?
To find the value of P(-2), we need to determine the polynomial function P(x) of degree 3 that satisfies the given derivatives. The value of P(-2) is 156.
The first derivative, p'(x), gives us information about the slope of the polynomial at each point. Since p'(1) = 45, we know that the slope of P(x) at x = 1 is 45.
The second derivative, p''(x), represents the rate at which the slope of the polynomial is changing. Given that p''(1) = 48, we can conclude that the slope of P(x) is increasing at x = 1.
The third derivative, p'''(x), provides information about the curvature of the polynomial. With p'''(1) = 24, we determine that the polynomial is concave up at x = 1.
Using these derivatives, we can construct a polynomial function P(x) that satisfies the given conditions. Integrating p'(x) gives us p(x), and integrating p(x) gives us P(x).
Since we are given p(1) = 75, we can determine the constant term of P(x). Integrating p'(x) = 45, we find p(x) = 45x + C. Evaluating p(1) = 75, we get 45(1) + C = 75, which gives us C = 30.
Therefore, p(x) = 45x + 30, and integrating p(x) gives us P(x) = (45/2)x^2 + 30x + D, where D is a constant term.
To find D, we can use p''(x). Integrating p''(x) = 48, we obtain p'(x) = 48x + K, where K is another constant term.
Using p'(1) = 45, we have 48(1) + K = 45, which leads to K = -3.
Now we have p'(x) = 48x - 3. Integrating p'(x), we get p(x) = 24x^2 - 3x + L, where L is a constant term.
Using p(1) = 75, we find 24(1)^2 - 3(1) + L = 75, which gives L = 54.
Thus, p(x) = 24x^2 - 3x + 54.
Finally, to find P(-2), we substitute -2 into the polynomial function P(x):
P(-2) = 24(-2)^2 - 3(-2) + 54
= 24(4) + 6 + 54
= 96 + 6 + 54
= 156.
Therefore, the value of P(-2) is 156.
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josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
\(y = -4.9x^2 + 32x + 425\)
Differentiating it we get:
\(\dfrac{dy}{dx} =-9.8x+32\)
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф\(=\tan^{-1}(32)\)
Vertical component=\(32*\sin(\tan^{-1}(32))\)=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
\(s=ut+\frac{1}{2} at^{2}\)
\(-425=31.98t-16t^2\)
\(16t^2-31.98t-425=0\)
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
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A nutrition researcher wants to determine the mean fat content of hen's eggs. She collects a sample of 40 eggs. She calculates a mean fat content of 23 grams with a sample standard deviation of 8 grams. From these statistics, she calculates a 90% confidence interval of 20.9 grams to 25.1 grams. What can the researcher do to decrease the width of the confidence interval?
a. increase the confidence level
b. decrease the confidence level
c. decrease the sample size
d. none of the above
To decrease the width of the confidence interval, the researcher can take the following steps:
1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.
2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.
Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.
The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.
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