Answer:
hmax = 628 ft
Step-by-step explanation:
The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is
h(t) = -16t^2 + 200t + 3
Taking the derivative of h(t) is
h'(t) = -32t + 200
Solving for t when h'(t) = 0, we get
t = 200/32 = 6.25 s
and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get
h = -16(6.25 s)^2 + 200(6.25 s) + 3
= 628 ft
A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.
Given:
Fixed salary = $1400
Additional salary = $500 each time he sells a car.
To find:
The equation for the situation and how much money he will make if he sells 7 cars.
Solution:
Let y be the total salary of the salesman after selling x cars.
He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.
Total salary = Fixed salary + Additional salary
[tex]y=1400+500x[/tex]
Substituting [tex]x=7[/tex], we get
[tex]y=1400+500(7)[/tex]
[tex]y=1400+3500[/tex]
[tex]y=4900[/tex]
Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.
Lana needs to find the. to find this, she could list. of both numbers, and circle each bumber that appeas in both lists. she should then identifiy the. number circled in both list
Greatest common factor
Least common factor
Factors
Multiples
Least
Greatest
2
4
24
48
Need help asap!! What is the circumference of the circle shown?
Answer:
56.5
Step-by-step explanation:
Circumference = [tex]\pi d[/tex]
C = 3.14(18) = 56.52
how is y=2x^2-8x+9 rewritten in vertex form.
9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)
Find the length of the unknown side. Round your answer to the nearest tenth.
Answer:
A. 9.4 m
Step-by-step explanation:
b²=13²-9²
= 169 - 81
= 88
b =√88 = 9.4 m
Answer:
bgh12.hcv2.3.23.52g3.2153.0.76810636302233..32.37gh
Step-by-step explanation:
I need the answer fast
The answer is the first one, A = 0.5bh. I hope this helps, have a good day!
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
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X
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Answer:
>
Step-by-step explanation:
41/8 = 5.125
Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.
The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.
Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?
The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.
Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Step-by-step explanation:
The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is Statistics?This refers to the analysis of numbers and data to make an inference about a thing.
Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Read more about statistics here:
https://brainly.com/question/12150562
#SPJ2
1) 14 units2 2) 16 units2 3) 17 units2 4) 19 units2
Answer:
4th option: 19 units2Step-by-step explanation:
The given figure can be divided as (i) upper rectangle, (ii) lower rectangleThen,
(i) Breadth of upper rectangle = 2 units
Length of upper rectangle = 8 - 1 = 7 units
Therefore,
Area of the upper rectangle = 7 × 2 = 14 units2
(ii) Breadth of lower rectangle = 1 unit
Length of lower rectangle = 5 units
Therefore,
Area of the lower rectangle = 5 × 1 = 5 units2
Since,
Area of the figure is = Area of upper rectangle + Area of lower rectangle
= 14 units2 + 5 units2
= 19 units2 (Ans) (4th option)
Answer needed! Answer needed! Answer needed!
Answer:
Points: (1,-1) (4,-1) (4,-3)
Step-by-step explanation:
Hope this helps
Answer:
(1,-1) (4,-1) (4,-3)
Step-by-step explanation:
bye have a good day
A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?
Answer:
60%
Step-by-step explanation:
3÷5= .6
.6 = 60%
Answer:
60%
Step-by-step explanation:
Select the two binomials that are factors of this trinomial.
x2 + 8x + 12
A. X+6
B. X-2
C. X + 8
D. X+2
[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]
Select the two binomials that are factors of this trinomial.
[tex]x_2 + 8x + 12[/tex]
[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]
[tex] {x}^{2} + 8x + 12[/tex][tex] {x }^{2} + 6x + 2x + 12[/tex][tex]x (x + 6) + 2(x + 6)[/tex][tex](x + 2)(x + 6)[/tex]We got the factors as :
[tex]A. \: (x + 6)[/tex]
and
[tex]D. \: (x + 2)[/tex]
[tex] \#TeeNForeveR[/tex]
Answer:
A&D
Step-by-step explanation:
What’s the solution for this?
Answer:
( -1 , 5 )
Step-by-step explanation:
Solution = Coordinate where the two lines intersect
The two lines intersect at ( -1 , 5 )
Thus solution = ( -1 , 5 )
i would love a little help
Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
I need help plz
urgent
Answer:
B
Step-by-step explanation:
Need help asap please
Answer:
3.8×10^7= 38000000
1.9×10^6= 1900000
38000000÷1900000= 20
the population of California is 20 greater than the population of Nebraska
Slove it step by step
Answer:
17is the truth
Step-by-step explanation:
The probability that a birth in the United States is male during 2018 is 0.511. Suppose a random number generator from 1 to 1,000 is used as a statistical model to create simulated results for births in the United States during 2018. Suppose the numbers 1 to 511 represent a male birth in the United States during 2018 and 512 to 1,000 represent a female birth in the United States during 2018. Explain whether the following results are consistent with the model, and if not, explain the expected number of male births and the expected number of female births for 300
trials.
In 300
simulated trials, 171 of the births are female and 129 are male.
Answer:
Step-by-step explanation:
The probability that a birth in the United States is male during 2018 is 0.511. So there are slightly more males than females born.
In 300 simulated trials, 171 of the births are female and 129 are male. More females are born so it is not consistent with the model.
The expected number of male birth for 300 trials should be 300*0.511 = 153.
The expected number of female = 300-153 = 147
6 in every 18 people have never flown on a plane. What is the ratio of people that have flown in a plane to all people?
Answer:
1:3
Step-by-step explanation:
Divide both numbers by the same value to get the ratio
6/6=1
18/6=3
To get the smallest numbers you can get by dividing using the same value
So the ratio would be 1:3
please help me i really need help please help me
9514 1404 393
Answer:
735.6 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so we can write this in terms of diameter as ...
V = (4/3)π(d/2)³ = (π/6)d³
Using the given diameter, the volume is ...
V = (π/6)(11.2 in)³ ≈ 735.6186 in³
The volume is about 735.6 cubic inches.
which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000
Answer:
C. 63/100
hope this helps
have a good day :)
Step-by-step explanation:
What function is shown in the graph below?
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
Let X and Y denote the latitude and longitude of a person who is thought to be lost in a certain part of a forest. If we assume that the density of X is uniform for 2 < X < 8.2 and the density of Y is also uniform for 3.01 < Y < 6.3, and we assume that X and Y are independent, then the joint density of X and Y is
Answer:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Step-by-step explanation:
We know that the possible values of X (all with the same probability) are:
2 < X < 8.2
And for Y we have the range (also uniform):
3.01 < Y < 6.3
Then we have a rectangle of area.
(8.2 - 2)*(6.3 - 3.01) = 20.398
Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.
And zero if the point is outside that region, this is:
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
NO LINKS!!!
Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used.
Answer:C.
each pair of triangles below
UT/IF:TQ/IK:IQ/KF
14/44.8:20/64
5/16:5/16
since they are similar
D.
<R=<K=96°
<J=<X=32°
<Q=<K=52°
since corresponding angle are equal.
they are similar
JR/XV:RQ/KV:JQ/XK
similarity condition are:
the corresponding side are proportional and angle are equal.
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Answer:
c. no
d. yes; AA postulate
Step-by-step explanation:
c. The marked sides have the same ratio ...
20/14 = 10/7 = 64/44.8
However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.
__
d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.
Answer:
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.
This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
I need help with this!! What is the answer???!
Answer:
53
Step-by-step explanation:
Sum of interior angles of a pentagon = 540°
Therefore,
2x° +2x° + 3x° + 3x° + 10 = 540°
10x° + 10° = 540°
10x° = 540° - 10°
10x° = 530°
10x = 530
x = 530/10
x = 53
Please help!!! I am stressed so much!!
Answer:
You have to simplify the fraction and turn it into a decimal.
Step-by-step explanation:
Meaning: Make the fraction smaller and turn it into the correct decimal.
EXAMPLE:
2/4 simplified is 1/2
1/2 is equal to 0.50
The Pyramid arena is 321 feet tall and has a square base of sides 591 feet. Find the volume of pyramid.
Answer:
Use MATH.WAY, it will help with any math problem
Step-by-step explanation: