The height of a toy rocket launched from 64 foot observation tower function of elapsed time since the launch is modeled in the equation below h(t)=-16t^2+48t+64 at  what approximate elapsed time (s) will the toy rocket be at a height of 90 feet?
Answer:
0,70 s
Step-by-step explanation:
We have to solve the associated equation:
-16t^2 + 48t + 64 = 90
1) divide each member by 2
-8t^2 + 24t + 32 = 45
2) add at both member -45
-8t^2 + 24t + 32 -45 = 45-45
-8t^2 + 24t - 13 = 0
3). multiply the two members by -1
8t^2 - 24t + 13 = 0
4) find Δ/4 with the reduce formula
Δ/4 = 144 -104 = 40
5) find the approximate solutions with the reduce formula
t1 = (12 + 6,42)/8 = 2,29 s
t2 = (12 - 6,42)/8 = 0,70 s
we have to take the smallest value because the biggest describe when the rocket will reach 90 feet when it is descending
I need hellpppp!!!!!
Answer:
1. C
2.G' is (8,-2) and H' is (14,8)
Step-by-step explanation:
Sorry if im wrong!
A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $6 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $30 per order as well as $6 per shoe pair. The retail store sells 2500 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer.
Answer:
$ ( 3 x + 75000 / x )
Step-by-step explanation:
Function that models the total inventory cost as a function of x
holding cost = $6
ordering cost ( fixed cost ) = $30
cost of a pair = $6
Total demand = 2500
∴The total inventory cost ( TIC ) is represented as
holding cost + Ordering cost
= 1 / 2 ( x ) ($6 ) + 2500 / x ( $30 )
= $ ( 3 x + 75000 / x )
while total cost = $ ( 3x + 75000 /x + ( 2500 * 6 ) )
What is | 6 | - | 1 |
What |6|
Answer:
|6|-|1|=5
|6|=6
Step-by-step explanation:
8 Yelena needs to swim a total of 8 miles this week. So far, she swam 5 miles. Use the equation 5 + m= 8 to find how many more miles Yelena needs to swim.
Answer:
3
Step-by-step explanation:
5 + m = 8
m=8-5
m=3
round the numbers to estimate the quotient. 29 1/5÷4 6/7
Answer:
29 / 5 = 5.8
Step-by-step explanation:
To round a mixed number to the nearest whole number, simply look at the fraction part.
If the fraction is more than one half, round up.
If this fraction is less than one half, round down.
In the number 29 1/5, 1/5 is LESS than one half, so we round down.
In the number 4 6/7, is 6/7 is MORE than one half, so we round up.
29 1/5 rounded to the nearest whole number is 29.
4 6/7 rounded to the nearest whole number is 7.
And, 29/7 = 5.8
Therefore, the estimated quotient is 5.8.
True or False.
Please help me
Answer:
False
Step-by-step explanation:
A bagel shop takes a survey to find the approximate percentage of its customers who prefer the new shop hours.
What is the population of this survey?
Which of the expressions are equivalent to the one below? Check all that
apply.
(5 x 1) - 7
Multiple choice !!
A. (5 - 1) - 7
B. (1 x 5) - 7
C. 5 x (1 + 7)
D. 7 + (1 x 5)
A researcher has developed an algorithm for analyzing documents. To test the performance he runs the algorithm on documents with lengths of 10 pages, 20 pages, and 30 pages. The run times were 0.1 seconds, 0.2 seconds, and 0.4 seconds. Would the algorithm be reasonable for analyzing a 300 page document? Explain.
Answer:
There are at least two reasons to articulate assumptions underlying a research problem. First, these assumptions will guide the selection of research questions and/or the formation of hypotheses, as well as the interpretation of the data. Clearly stating the assumptions assists the reader in evaluating the merits of the study and the conclusions drawn from it. Second, to the extent that the researcher is aware of his/her assumptions, these can be incorporated into the study design as needed to promote the validity of the conclusions drawn from the study.
Step-by-step explanation:
please help me outtttttttttttttt 15 points
Answer:
6 there are 6 motorcycles
Step-by-step explanation:
If 2a + 2 = 8, then a is equal to?
Answer:
a would be equal to 3.
Step-by-step explanation:
2a+2=8.
2(3)+2=8
6+ 2= 8
8=8
Checks out!
Please like and mark brainliest!
Hope it helps!
If 2a + 2 = 8, then a is equal to 3 using linear equation.
What is linear equation?A linear equation most effective has one or two variables. No variable in a linear equation is raised to a strength greater than 1 or used because the denominator of a fraction. whilst you discover pairs of values that make a linear equation authentic and plot the ones pairs on a coordinate grid, all of the factors lie at the same line.
The definition of a linear equation is an algebraic equation wherein every term has an exponent of 1 and the graphing of the equation outcomes in a immediately line.
An example of linear equation is y=mx + b.
Nonlinear equations are equations that appear as curved lines while you graph them. If the differences among the outputs of the equation are inconsistent when you operate unknown variables, then the equation is nonlinear. Nonlinear equations can take many shapes, from simple curves to elaborate
An equation is said to be linear equation in variables if it is written within the shape of ax + by way of + c=0, wherein a, b & c are real numbers and the coefficients of x and y.
explanation:
2a + 2 = 8
2a = 8 -2
a = 6/2
a = 3
Hence, the value of a is 3.
Learn more about linear equation here:-https://brainly.com/question/2226590
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Identify each histogram as symmetric, positively skewed, or negatively skewed.
A._____
B._____
C._____
find the correct classisication irratinal number rational number whole number intergers
Step-by-step explanation:
Real numbers include:
Rational numbers include
Fractions, Integers
Integers include
Negative Integers, Whole numbers
Whole numbers include
Zero, Natural number
Irrational numbers
is 1/5 the same as 5?
Answer:
No, it is not.
Step-by-step explanation:
1/5 is equal to 0.2
5/1 is equal to 5 because there are 5 ones.
FIRST PERSON TO ANSWER CORRECTLY GETS 100 POINTS +BRAINLEST +5 STARS +THANKS ON PROFILE!!!!
Here are two right triangles. Explain how you know the triangles are similar.
In both triangles Be ABC and RQS
[tex]\because\sf \begin{cases}\sf <B=<Q=90°\\ \sf <\alpha\sim <alpha\end{cases}[/tex]
Hence
[tex]\\ \qquad\quad\sf\longmapsto \Delta ABC\cong \Delta PQR(AA)[/tex]
the following is a graph of a function of x. which of the following values belong to the domain of the function?
-1 ,-3,0,8,2,-7
You can pick multiple. NO LINKS PLS
Answer:
your answer is 20 I hope I'm right
The values in the domain of the function are : -1,-3,0,8,2,-7
What is domain?Domain is determined by the all possible set of values of the variable x for which the function is defined.
So, from the graph we can observe that the value of x is going from 0 to infinity
This means that the function is defined for all the value of x from 0 to infinity
The domain of the given function f(x) is : x ∈ [0, +∞)
So, All the points which lie within this interval are included in the domain of the function.
Therefore, The values in the domain of the function are : -1,-3,0,8,2,-7
Learn more about domain, click;
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1/8 plus 3/4: plz tell me I need help
Answer:
7/8
Step-by-step explanation:
Find the common denominator:
4 and 8 are both the least common multiple of 8.
So that would be the common denominator.
To get 3/4 to become a fraction of 8, you would multiply both 3 and 4 by 2.
[tex]\frac{1}{8} + \frac{3}{4} = \frac{1}{8} + \frac{6}{8} = \frac{7}{8}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
[tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]
Step-by-step explanation:
I have factored and multiplied lwh to get the volumes
Vol. = [tex]\frac{2x - 1}{(2x - 3)(x + 5)}[/tex] [tex]\frac{2(2x - 3)}{3x - 1}[/tex][tex]\frac{(3x - 1)(x + 3)}{(2x - 1)(x + 3)}[/tex] + [tex]\frac{x - 5}{3x + 2}[/tex][tex]\frac{3x + 2}{4}[/tex][tex]\frac{x - 2}{(x + 7)(x - 5)}[/tex]
= [tex]\frac{4}{x + 5}[/tex] + [tex]\frac{x - 2}{4(x + 7)}[/tex]
= [tex]\frac{4(4)(x + 7) + (x - 2)(x + 5)}{4(x + 5)(x + 7)}[/tex]
= [tex]\frac{16x + 112 + x^{2} + 3x -10}{4(x + 5)(x + 7)}[/tex]
= [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]
If I have done everything correctly, then [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex] is the total volume
This a real exercise in factoring and multiplying and adding fractions
The graph shows the area of forest cover in various regions of the world. Through afforestation, forest habitats have been established in areas that previously didn’t have forests. In which geographic region has this approach been most successful?
Answer:
Step-by-step explanation:
If the graph looks like the one attached, then East Asia is the only region showing an increase in forest cover over time.
Answer:
east asia
Step-by-step explanation:
got it right
Find the 9th term of the geometric sequence 9, 27, 81,
Answer:
9, 27, 81, 6561, 43046721, 1853020188851841, 3.4336838202925124e+30, 1547.141555, 2393646.991208
Step-by-step explanation:
Answer = 2393646.991208
Hope it helps!
Hi answer as fast as you can
Answer:
864 cm
Step-by-step explanation:
9 Calculator What is the median of the data set? 3, 10, 1, 6, 10, 3, 11, 14
Answer:
1, 3, 3, 6, 10, 10, 11, 14
(6,10) 6+10= 16
16/2= 8
median is = 8
Step-by-step explanation:
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before−after" differences. Does hypnotism appear to be effective in reducing pain? In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the difference in the measurements in centimeters on a pain scale before and after hypnosis. What is the P-value for this hypothesis test? (Round to three decimal places as needed.) Answer
Required data:
Before 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8
After 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7
Answer:
Confidence interval = (-0.404 ; 1.804)
Pvalue = 0.178
Step-by-step explanation:
H0: μd = 0
H1 : μd ≠ 0
Difference, d = (x - y)
d = - 0.3, 0.2, 0.3, 2.4, 3.1, - 0.6, 0.4, 0.1
Using calculator :
μd = 0.7
Sd = 1.32
Confidence interval :
Mean ± margin of error
Margin of Error =Tcritical * Sd/√n
Tcritical at df = 7, 0.5, 2 - tailed = 2.365
Margin of Error = 2.365 * 1.32/√8
Margin of Error = 1.104
Lower boundary :
(0.7 - 1.104) = - 0.404
Upper boundary :
(0.7 + 1.104) = 1.804
(-0.404 ; 1.804)
Test statistic, = μd / (Sd ÷ √n)
Test statistic = 0.7 / (1.32 ÷ √8)
Test statistic = 1.499
From the test statistic score ; using a Pvalue calculator :
Pvalue = 0.178 ( 3 decimal places)
True or false
Please help
Answer:
false
Step-by-step explanation:
Please help will name brainiest
6n+11=-13 what in n
Answer:
-4
Step-by-step explanation:
We know the value has to be less than 0 since the answer is negative.
We also know that the value has to be greater than -13.
Now we can try the values -1 through -12
Just try each number and remember to add 11 to each value.
After doing this, you should have noticed that the number -4 had given the correct number. This means the answer is -4
find the value of z that makes the equations true.
•PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
B, of the two choices I see, would be the right equation.
And z = 15
Step-by-step explanation:
45 = 3z
divide both sides by 3 and
z = 15
Ok here go a few of them
Answer:
1 = 58°
2 = 32°
3 = 32°
Step-by-step explanation:
After combining like terms we know that 3M +9+ 6M -1 is equivalent to
Answer:
9M + 8!
Step-by-step explanation:
Brainliest Please!
Expand each logarithmic expression
Answer:
Log 8 (5) + 6 log 8 (x) - Log 8 (y)
Step-by-step explanation
expand 5x^6 = Log 8(5) + 6log
if its multiplication, its +
if its division its -