Answer:
The height of the rocket is greater than or equal to 1.039 feet during first 19.936 seconds.
Step-by-step explanation:
The height of the rocket launched from the ground is modelled after the following expression:
[tex]h(t) = -16.087\cdot t^{2}+320\cdot t +15[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height, measured in feet.
After a careful reading to the statement, we translate all relevant information into the following mathematical inequation:
[tex]-16.087\cdot t^{2}+320\cdot t +15\ge 1.039[/tex] (2)
After some algebra, we get the equivalent inequation:
[tex]-(16.087\cdot t^{2}-320\cdot t -13.961)\ge 0[/tex]
[tex]16.087\cdot t^{2}-320\cdot t -13.961 \le 0[/tex]
[tex](x-19.936)\cdot (x+0.044)\le 0[/tex]
Which means that the following conditions must be observed to satisfy the inequation above:
[tex]x-19.936\le 0\,\land\,x+0.044\ge 0[/tex]
[tex]x\le 19.936\,s\,\land\,x\ge -0.044\,s[/tex]
[tex]0\,s\le x \le 19.936\,s[/tex]
The height of the rocket is greater than or equal to 1.039 feet during first 19.936 seconds.
pls pls help asap pls
Answer:
The answer is option 2
Step-by-step explanation:
Working out above
Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens! Each time Miranda goes to the store she plans to spend $7dollar sign, and each time Savannah goes to the store she plans to spend $9.A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
Answer:
Miranda made 9 visits to the store and Savannah made 7 visits to the store
Step-by-step explanation:
To find how many times Miranda and Savannah went to the store we would need to find the Greatest Common Multiple of the amount that each of them spends per visit. We do this by simply going through each of these numbers' times tables until we find a common one.
7 * 1 = 7 9 * 1 = 9
7 * 2 = 14 9 * 2 = 18
7 * 3 = 21 9 * 3 = 27
7 * 4 = 28 9 * 4 = 36
7 * 5 = 35 9 * 5 = 45
7 * 6 = 42 9 * 6 = 54
7 * 7 = 49 9 * 7 = 63
7 * 8 = 56
7 * 9 = 63
Finally, we can see that the first time that both Miranda and Savannah have spent the exact same amount would be when Miranda made 9 visits to the store and Savannah made 7 visits to the store. Each of which wasted $63
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
Answer:
the slope is 4/3
Step-by-step explanation:
The heights of the five starters on the girl's basketball team are 68 in., 64 in., 70 in., 62 in., and 66 in. What is the average height?
Answer:
66 inches
Step-by-step explanation:
The sum of all the numbers divided by the amount of players (330/5) equals 66.
A manager purchased a total of 21 coffee mugs and key chains each coffee mug cost $8.50 and each key chain cost $2.75 if the manager spent a total of a $132.50 write and solve the systems of equations
Answer:
21=m+k 8.50m+2.75k=132.50
Step-by-step explanation:
m= mugs
k= key chains
Paul earns $7 per hour at the bagel
shop and $12 per hour mowing lawns.
Paul needs to earn at least $120 per
week, but he must work less than
30 hours per week. Write and graph
the system of linear inequalities that
describes this situation.
Answer:
he can work 10 hours mowing lawns and will get exactly $120!
Step-by-step explanation:
i have the picture as a link
Answer:
21 is your answer
2 1
3 2 | 6 7 2
6 4
3 2
3 2
Ms. Dantes baked some brownies. She sliced the brownies into four rows of four brownies. Then she cut half of the brownies in two. How many brownies does she have?
Answer:
24
Step-by-step explanation:
16 +8 = 24 I got this answer by 4 X 4 = 16 +8 So Ms.Dantes has 24 brownies now.
Complete the table of values for this absolute value function. Then use the drawing tool(s) to graph the function. F(x)-2|x+1|-1
Answer:
Please check the explanation!
Step-by-step explanation:
Given the equation
[tex]f\left(x\right)=-2|x+1|-1[/tex]
As some of the absolute rules are:
[tex]\left|a\right|=a,\:a\ge 0[/tex][tex]\:|-a|=a,\:\quad \:a>0[/tex]NOW, let us solve!
Let us substitute all the table values
Putting x = -4
[tex]y=-2\left|-4+1\right|-1[/tex] ∵[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]y=-6-1[/tex]
[tex]y=-7[/tex]
So, when x = -4, then y = -7
Putting x = -3
[tex]y=-2|-3+1|-1\:[/tex]
[tex]y=-4-1[/tex]
[tex]y=-5[/tex]
when x = -3, then y = -5
Putting x = -2
[tex]y=-2\left|-2+1\right|-1[/tex]
[tex]y=-2-1[/tex]
[tex]y=-3[/tex]
when x = -2, then y = -3
Putting x = -1
[tex]y=-2\left|-1+1\right|-1[/tex]
[tex]y=-0-1[/tex]
[tex]y=-1[/tex]
when x = -1, then y = -1
Putting x = 0
[tex]y=-2\left|0+1\right|-1[/tex]
[tex]y=-2-1[/tex]
[tex]y=-3[/tex]
when x = 0, then y = -3
Putting x = 1
[tex]y=-2\left|1+1\right|-1[/tex]
[tex]y=-4-1[/tex]
[tex]y=-5[/tex]
when x = 1, then y = -5
The graph is also attached below.
PLEASE HELP FAST ILL GIVE BRAINLIEST AJGSAJSJDH 2) Maria Louisa looks at a sequence of shapes and records the number of
vertices in each of the shapes in the sequence. The first shape has 3
vertices, the second shape has 5 vertices, and the third shape has 7
vertices.
If Maria Louisa assumes that the number of vertices in the sequence of
shapes follows the same pattern, how many vertices would she expect the
twenty-first shape to have?
A.
39
B.
41
C.
43
D.
45
what is the y-intercept of the graph that is shown below? A. (-2, 0) B. (-1, 2) C. (0, 4) D. (4, 0)
guys help me write this answer in its simplest form7-6/8
Answer:
0.1458 in decimal form.
Step-by-step explanation:
In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 7/6 ÷ 8 = 7/48 in fraction form.
7/6 ÷ 8 = 0.1458 in decimal form.
Hope this helpsMark me brainiestComplete the steps to solve for x.
4
1
7X - 5=
X = 13
4
7*- 5* = 13
Ex
= 13
35
Answer:
45
Step-by-step explanation:
What is the graph of 4x+3y=-24?
The answer to 2+2 isnt 4 ill show you why
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respatory system.
There ya go: 18.
wow you are so smart
Sally baked 28 brownies with 4 scoops of flour. With 5 scoops of flour, how many cookies can she bake?
Answer:
28 brownies - 4 scoops
x brownies - 5 scoops
Cross multiply and we get:
140 = 4x
Divide both sides by 4:
140/4 = 4x/4
35 = x
Hence, 5 scoops of flour will bake 35 brownies
Step-by-step explanation:
Simplify the expression i⁸²
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
whats the place value of the decimal in the number 125.6
Answer:
in between the ones and the tenths place
Step-by-step explanation:
so it would be in the ones place
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.
1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
4. Divide:
= x
Answer:
x = 24
Step-by-step explanation:
9/6 = x/169(16)= 6x144 = 6xx = 144/6x = 24Write the ratio as a fraction in simplest form.
54 students: 9 chaperones
hope this Will help you!!!! follow me
Answer:
6:1
Step-by-step explanation:
54/9
6:1
I need help doings this
Answer:
Either A or C, I'm not quite sure tho
Step-by-step explanation:
The line is on the negative side of the graph
Helpp-Find the measure of angle SRT!!!!!
Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level. Jessie went hang-gliding and reached an altitude of 87.9 meters, which is above sea level.
Given :
Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level.
Jessie went hang-gliding and reached an altitude of 87.9 meters, which is above sea level.
To Find :
The distance between them.
Solution :
Distance between them is :
[tex]D=87.9-(-85.6)\ m\\\\D = 173.5\ m[/tex]
Therefore, maximum distance between them is 173.5 m.
Hence, this is the required solution.
22x7.5 with work I rlly need help
A skateboarder starting from rest accelerates down a ramp at 2 m/s for 2 s. What is the final speed of the skateboarder
Initial speed of the skateboard (u) = 0 m/s (Starts from rest)
Acceleration of the skateboard (a) = 2 m/s²
Time taken by the skateboard (t) = 2s
By using equation of motion, we get:
[tex] \bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow v = 0 + 2 \times 2 \\ \\ \rm \longrightarrow v = 4 \: m {s}^{ - 1} [/tex]
[tex] \therefore [/tex] Final speed of the skateboard(v) = 4 m/s
Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A previous random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. How many citizens would need to be sampled if a 90% confidence interval was desired to estimate the true proportion to within 4%?
Answer:
416
Step-by-step explanation:
Given that:
A previous random sample = 4000
Sample mean = 2250
[tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{2250}{4000}[/tex]
[tex]\hat p = 0.5625[/tex]
The confidence interval level = 90%
Desired Margin of error E = 0.04
The level of significance at 90% C.I = 1 - 0.90 = 0.10
The critical value [tex]Z_{\alpha/2} = Z_{0.10/2}[/tex]
[tex]\implies Z_{0.05} = 1.645[/tex] ( From the z tables)
[tex]n = \hat p \times (1- \hat p ) \bigg ( \dfrac{z_{0.05}}{E} \bigg)^2[/tex]
[tex]n = 0.5625 \times (1- 0.5625) \bigg ( \dfrac{1.645}{0.04} \bigg)^2[/tex]
[tex]n = 0.5625 \times (0.4375) \bigg ( 41.125 \bigg)^2[/tex]
n = 416.21
Thus, the number of citizens required to be sampled is [tex]\simeq[/tex] 416
find the slope of the line that passes through these points (2,5) (4,1)
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 1)
m = [tex]\frac{1-5}{4-2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
How many solutions does the equation 5x + 3x - 4 = 10 have?
A. Zero
B. One
C. Two
D. Infinitely many
Answer:
one solution
Step-by-step explanation:
(work is shows above)
tell me your life story
and perhaps some song recommendations as well
thanks :)
Answer:
I'm still in High School and planning on going to the military after going through and making money for the most part and for song recommendations I would say: Rob Zombie, Alice in Chains, and Guns N' Roses.