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Sunny_sXe [5.5K]
2 years ago
3

1. Quadratics: The path of the longest shot put by the Women’s track team at Sun Devil U is modeledby h(x) = -0.015x2 + 1.08x +

5.8, where x represents the horizontal distance from the start and h(x) isthe height of the shot put above the ground. (Both x and h(x) are measured in feet.)a. [3 pts] Determine h(24). Round your answer to 2 decimal places.
Mathematics
1 answer:
enot [183]2 years ago
8 0

Answer:

<h2>23.08 feet </h2>

Step-by-step explanation:

If  the path of the longest shot put by the Women’s track team at Sun Devil U is modeled by h(x) = -0.015x² + 1.08x + 5.8 where x represents the horizontal distance from the start and h(x) is the height of the shot put above the ground, to determine h(24), we will have to substitute x = 24 into the modeled equation as shown;

h(x) = -0.015x^2 + 1.08x + 5.8\\\\if \ x = 24;\\\\h(24) = -0.015(24)^2 + 1.08(24) + 5.8\\\\h(24) = -0.015(576)+25.92+5.8\\\\h(24) = -8.64+31.72\\\\h(24) = 23.08\\

Hence the value of the height at the horizontal distance of 24 feet is 23.08 feet to 2 decimal place.

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A school cafeteria sells milk at 25 cents per carton and salads at 45 cents each. one week the total sales for these items were
denis-greek [22]

solution:

Lets start with the most amount that could have been sold.......using guess and check, we can figure out that 290 salads could have been sold, while 8 cartons of milk would have been sold.

The least amount of salads that could have been sold were none.

so,

you have  0<s<290

at least none were sold, and at most 290 were sold

but I do believe you are missing part of the question


4 0
2 years ago
we are asking everyone to focus on reducing their average transaction time by 10%. the average transaction time for this locatio
Anettt [7]

Answer:

We have to get the average transaction time down to 371 seconds or 6 minutes 11 seconds.

Step-by-step explanation:

The average transaction time for this location is 6 minutes and 52 seconds.

1\text{ minute}=60\text{ seconds}

6\text{ minute}=6\times 60\text{ seconds}

6\text{ minute}=360\text{ seconds}

The average transaction time for this location is

360+52=412\text{ seconds}

The average transaction time is reduced by 10%.

412-\frac{10}{100}\times 412=412-41.2=370.8\approx 371\text{ seconds}

The average transaction time of this location reduced to 371 seconds.

\frac{371}{60}=\frac{360+11}{60} =6+\frac{11}{60}

The average transaction time of this location reduced to 6 minutes 11 seconds.

6 0
2 years ago
Read 2 more answers
The mean sat verbal score is 486, with a standard deviation of 95. use the empirical rule to determine what percent of the score
Pavel [41]
Find the z-scores for the two scores in the given interval.

z=\frac{x-\mu}{\sigma}

For the score x =391, z=\frac{391-486}{95}=\frac{-95}{95}=-1.

For the score x = 486, z=\frac{486-486}{95}=0

Now you want the area (proportion of data) under the normal distribution from z = -1 to z = 0. The Empirical Rule says that 68% of the data falls between z = -1 to z = 1. But the curve is symmetrical around the vertical axis at z = 0, so the answer you want is HALF of 68%.

8 0
2 years ago
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
inn [45]

<span><span> x2-16x+48=0</span> </span>Two solutions were found :<span> x = 12 x = 4</span>

Step by step solution :<span>Step  1  :</span>Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-16x+48</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -16x </span> its coefficient is <span> -16 </span>.
The last term, "the constant", is <span> +48 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 48 = 48</span> 

Step-2 : Find two factors of  48  whose sum equals the coefficient of the middle term, which is  <span> -16 </span>.

<span><span>     -48   +   -1   =   -49</span><span>     -24   +   -2   =   -26</span><span>     -16   +   -3   =   -19</span><span>     -12   +   -4   =   -16   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  -4 
                     <span>x2 - 12x</span> - 4x - 48

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    4 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x-4)  •  (x-12)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x - 4) • (x - 12) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x-4 = 0<span> 

 </span>Add  4  to both sides of the equation :<span> 
 </span>                     x = 4 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-12 = 0<span> 

 </span>Add  12  to both sides of the equation :<span> 
 </span>                     x = 12 

Supplement : Solving Quadratic Equation Directly<span>Solving <span> x2-16x+48</span>  = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

<span> 3.1 </span>     Find the Vertex of   <span>y = x2-16x+48</span>

5 0
2 years ago
Read 2 more answers
6. Problems and Applications Q6 Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bar
natulia [17]

Answer:

Year 1 GDP Deflator is 100%

Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

The Real GDP growth Rate for Year 2 and year 3 is 110%

Step-by-step explanation:

Year 1  

 Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

GDP Deflator= (nominal GDP/Real GDP) x 100

                      = ($6/$6) x 100

                       = 100%  

Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year  is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

                       = ($6/$20) x100

                        = 30%

Year 3

Price of chocolate bars is $6 per bar and 7 bars were produced therefore Real GDP =$6 x 7 =$42, now we calculate the GDP deflator as we have been told that year 1 is the nominal year therefore nominal GDP is $6.

GDP Deflator = (nominal GDP/ Real GDP) x 100

                      = ($6/$42)

                       =14.29%

Now we calculate the inflation rate between year 2 and year 3.we use the CPI (consumer price index to get the inflation rate for year 2 ad 3)

Consumer Price Index = (Current price of bar/previous price of bar) x 100 formula for CPI

                      = ($6/$4) x 100= 150%-100%

                         = 50% is the inflation rate as the consumer price gave us a positive value.

Now we compute the real GDP growth rate between year 2 and year 3

Real GDP growth rate = [  (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

                                      = ($42-$20)/$20

                                       = 110% so real GDP grew by 110% from year 2 to year 3.

8 0
2 years ago
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