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3 years ago

15

In the first round of the card game Nikki score 20 points. Then, she lost 10 points on one turn in an additional 25 points on he

r final turn
Show the change in Nikki score using the number line below

1 answer:

Anton [14]3 years ago

6 0

The answer is 35 because 20-10=10 then 25+10=35 so niki made 35 points on her final round

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

$h=-16t^2 + 36t + 10$ ......(1)

Part (a) :

The maximum height reached by the ball is given by :

$\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s$

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

$h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m$

7 0

3 years ago

Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20

Vsevolod [243]

Answer:

<em>18</em> values for n are possible.

Step-by-step explanation:

Given the quadratic polynomial:

$x^2 - mx + n$

such that:

Roots are positive prime integers and

$m < 20$

To find:

How many possible values of $n$ are there ?

Solution:

First of all, let us have a look at the sum and product of a quadratic equation.

If the quadratic equation is:

$Ax^{2} +Bx+C$

and the roots are: $\alpha$ and $\beta$

Then sum of roots, $\alpha+\beta = -\frac{B}{A}$

Product of roots, $\alpha \beta = \frac{C}{A}$

Comparing the given equation with standard equation, we get:

A = 1, B = -m and C = n

Sum of roots, $\alpha+\beta = -\frac{-m}{1} = m$

Product of roots, $\alpha \beta = \frac{n}{1} = n$

We are given that $m$

$\alpha$ and $\beta$ are positive prime integers such that their sum is less than 20.

Let us have a look at some of the positive prime integers:

2, 3, 5, 7, 11, 13, 17, 23, 29, .....

Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.

So, possible combinations and possible value of $n (= \alpha \times \beta)$ are:

$1.\ 2, 2\Rightarrow n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow n = 6\\3.\ 2, 5 \Rightarrow n = 10\\4.\ 2, 7\Rightarrow n = 14\\5.\ 2, 11 \Rightarrow n = 22\\6.\ 2, 13 \Rightarrow n = 26\\7.\ 2, 17 \Rightarrow n = 34\\8.\ 3, 3\Rightarrow n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow n = 15\\10.\ 3, 7 \Rightarrow n = 21\\$

$11.\ 3, 11\Rightarrow n = 33\\12.\ 3, 13 \Rightarrow n = 39\\13.\ 5, 5 \Rightarrow n = 25\\14.\ 5, 7 \Rightarrow n = 35\\15.\ 5, 11 \Rightarrow n = 55\\16.\ 5, 13 \Rightarrow n = 65\\17.\ 7, 7 \Rightarrow n = 49\\18.\ 7, 11 \Rightarrow n = 77$

So,as shown above <em>18 values for n are possible.</em>

3 0

3 years ago

Please help giving brainlist

mrs_skeptik [129]

-2 " -1,5 : -3-2 " -4/3 " -1 " 0 " 1 " 3/2 " 2
hv ju huy

4 0

3 years ago

Read 2 more answers

Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on vo

andre [41]

Answer:

0.05547

Step-by-step explanation:

Given :

_____Peter __ Alan __ Sui__total

Before 1838 __ 418 ___1475 _3731

After _ 1420 __ 329 ___1140_2889

Total _3258 __ 747 __ 2615 _6620

The expected frequency = (Row total * column total) / N

N = grand total = 6620

Using calculator :

Expected values are :

1836.19 __ 421.006 __ 1473.8

1421.81 ___325.994__ 1141.2

χ² = Σ(Observed - Expected)² / Expected

χ² = (0.00177817 + 0.0214571 + 0.000974852 + 0.00229642 + 0.0277108 + 0.00125897)

χ² = 0.05547

3 0

2 years ago

Mia wants to purchase a pair of jeans. The first time she saw the jeans, they were priced at $36. When she goes back to make the

jasenka [17]

Answer: D

Step-by-step explanation:

1. Subtract 36 to 28.80

2. Divide the answer to the first price (36.00)- 7.5 divided by 36.00 or 36

3. When you calculate and find the answer as a decimal, then make it into a percentage

So if... you divide 7.5 divided by 36, you get the decimal of 0.2, and when you move the decimals two places only, you get your answer of 20%.

Hopefully it helped you!. Have a good day :-).

8 0

2 years ago