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olya-2409 [2.1K]
3 years ago
14

" A projectile is launched in the air according to the equation h(t)= -16t^2 + 125t + 5. At what time does the projectile land?"

and how do I do problems like these!?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0
"according to the equation is a sloppy description, and announces that whoever said it or wrote it doesn't really have a clue to what the equation means or what it's good for.

h (t) is the HEIGHT of the projectile above the ground at any time 't'. When the projectile hits the ground, h (t) is zero. Write that ! Then you have a quadratic equation that you can easily solve for 't'.
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Large samples of women and men are​ obtained, and the hemoglobin level is measured in each subject. Here is the​ 95% confidence
qwelly [4]

Answer:

a) Because the confidence interval  does not include  0​ it appears that there

is  a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

b)There is​ 95% confidence that the interval from  −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2

c)   1.62 < μ1−μ2< 1.76

Step-by-step explanation:

a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men?

Given:

95% confidence interval for the difference between the two population​ means:

−1.76g/dL< μ1−μ2 < −1.62g/dL

population 1 =  measures from women

population 2 =  measures from men

Solution:

a)

The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in​ men is not equal and that the  women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in​ men.

b)  

There is​ 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.

c)

If we interchange men and women then

  • confidence interval range sign will become positive.
  • μ1 becomes the population mean of the hemoglobin level in men
  • μ2 becomes the population mean of the hemoglobin level in women
  • So confidence interval becomes:

                                          1.62 g/dL<μ1−μ2<1.76 g/dL.

4 0
2 years ago
candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40
photoshop1234 [79]

The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume the separate weights of each type of candies to be represented by variables.

Let we have:

  • x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.
  • y = weight (in pounds)  of second type of candy whose cost is 46 cents per pound.

x pounds of first type of candy is mixed with y pounds of second candy.

The weight of the mixture = x + y = 50 pounds

The cost of the mixture = 40 cents per pound  = 40 \times 50 = 2000 cents

Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = 31x + 46y
Thus, we get 31x + 46y =2000

Therefore, we got a system of two linear equations as:

x +y = 50\\31x + 46y =2000

From first equation, we get:

x = 50 -y

Substituting this value in second equation, we get:

31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30

Putting this value of y in equation for x, we get:

x = 50-y = 50-30 = 20

Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

Learn more about solving system of linear equations here:

brainly.com/question/13722693

4 0
1 year ago
Read 2 more answers
An equation is shown below:
meriva
<span>4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = </span>\frac{24}{8}

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}
7 0
3 years ago
Write an equation of the line passing through points (5, -4) and (2, 8) and has a y-intercept of -2.
Anvisha [2.4K]

Answer:

The slope would be 4/-3

Step-by-step explanation:

8-(-4)

= 4/-3

2-5

3 0
2 years ago
Please answer this now in two minutes
Xelga [282]

Answer:

17.5

Step-by-step explanation:

The following data were obtained from the question:

Angle R = 105°

Side R = r

Side S = 15

Side T = 6

The value of r can be obtained by using cosine rule formula as shown below:

inding sides:

r² = s²+ t² – 2st cos(R)

r² = 15² + 6² – 2 × 15 × 6 × cos105°

r² = 225 + 36 – 180 × cos105°

r² = 261 + 46.587

r² = 307.587

Take the square root of both side

r = √307.587

r = 17.5

Therefore, the value of r is 17.5

7 0
3 years ago
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