Answer:
The rocket will hit the ground after 113.28 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of a rocket, after t seconds, is given by:
[tex]h(x) = -16x^2 + 1812x + 59[/tex]
Using this equation, find the time that the rocket will hit the ground.
This is x for which [tex]h(x) = 0[/tex]. So
[tex]-16x^2 + 1812x + 59 = 0[/tex]
Then [tex]a = -16, b = 1812, c = 59[/tex]
[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]
[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]
[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]
The rocket will hit the ground after 113.28 seconds.
Help. I’ll give branliest!! Due today!
Answer:
4
Step-by-step explanation:
Im pretty sure its 4
Answer:
4 is the answer to the question
Write the slope-intercept form of the line given point and slope. ( show work if possible please)
through: (-2,-5), slope = 5
Answer:
y=5x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=5(x-(-2))
y+5=5(x+2)
y=5x+10-5
y=5x+5
Can anyone help asap please
Answer: 132
Step-by-step explanation:
Answer:
132 m
Step-by-step explanation:
[tex]C = \pi \: d = \frac{22}{7} \times 42 = 132 \: m \\ [/tex]
Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73
Answer:
I think its 2.73 not sure tho
Step-by-step explanation:
Answer:
I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)
Step-by-step explanation:
Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:
Answer:
ln(2) - ln(7)
Step-by-step explanation:
Logarithmic expressions are represented using ln or log keywords
The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
The expression is given as:
[tex]\mathbf{ln(2/7)}[/tex]
The quotient rule of logarithm states that:
[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]
So, by comparison:
a = 2, and b = 7
So, we have:
[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]
Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]
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A recipe for oatmeal which serves 4 people uses 3 cups of rolled oats.
How many cups of rolled oats will be used for oatmeal which serves 6 people?
O A. 2 cups
OB. 2 cups
Oc. 4 41
cups
D. 5 cups
o
E. 8 cups
The 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A recipe for oatmeal that serves 4 people uses 3 cups of rolled oats.
Let's suppose the x number of cups will be used to serve 6 people.
Mathematically,
4 people use 3 cups
6 people use x cups. then:
[tex]\frac{4}{6} =\frac{3}{x}[/tex]
4x = 6×3 (after cross multiplication)
4x = 18
x = 4.5 (divide by 4 on both sides)
[tex]\rm x=4\frac{1}{2}[/tex]
Thus, the 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.
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. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?
Answer:
8
Step-by-step explanation:
line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye
A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins
Answer:
A
Step-by-step explanation:
2.34 divided by 6 so then that gives you o.39
Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
Step-by-step explanation:
{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9
{2,3,5,7}---set of prime numbers from 0 tp 9
there are 10 numbers in the first set and 4 numbers in the second set.
4/9 is the probability that the digit he selects is a prime number
Hope that helps :)
Which of the fractions is equivalent to 2/3
Answer:
4/6
6/9
12/18
8/12
5/10
Step-by-step explanation:,,
Answer:
The answers are 4/6 and 6/9.
Step-by-step explanation:
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D
Find the number line with the correct letter placement for each value.
A=73,B=−67,C=127,D=−1.35
Choose one correct answer.''
Answer:
Step-by-step explanation:
a
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
For an F distribution, find the following:
(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6
Answer:
1.39 ; 2.02 ; 2.90
Step-by-step explanation:
From the F - distribution calculator
F0.25, 8, 2 ;
u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75
F value = 1.39
F0.10,12,15 :
u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90
F value = 2.02
F0.01,12,6
u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90
F value = 2.90
Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.
Answer: 0.62
Step-by-step explanation: I got the answer
The probability that the next customer will pay with cash is 0.62
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.
So, the total number of customers:
⇒ n(S) = 80 + 45 + 4
⇒ n(S) = 129
Let event A: the next customer will pay with cash
n(A) = 80
So, the probability that the next customer will pay with cash would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 80/129
⇒ P(A) = 0.62
Therefore, the probability that the next customer will pay with cash is 0.62
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pls help i give you brainliest
(2/5)^3=
anybody help???
Answer:
8/ 125
Step-by-step explanation:
8/ 125
Answer:
8/125
Step-by-step explanation:
I think. you can use the app photo math
2 0 IC : 7(x + 8) - 4(x + 10)
Answer:
3x+16
Step-by-step explanation:
In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (30.5,40.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Pls help BRAINLYEST FOR BEST ANSWER YAYA
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
21
The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.
What is the answer for 1+4?
Answer:
man thats really hard i think youve gotta ask a professional for that
Step-by-step explanation:
Answer:
1+4=5
1-4=-3 (3)
1 x 4= 4
1/4 =4
Step-by-step explanation:
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
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40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.
Answer:
6
Step-by-step explanation:
Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:
A)
(4, –3)
B)
(–3, –2)
C)
(5, 0)
D)
(0, –5)
9514 1404 393
Answer:
D) (0, -5)
Step-by-step explanation:
A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.
__
If we consider only the case of x=0, then the solution space reduces to ...
-8 < y ≤ 4 . . . . . the constants of the two inequalities
Here, it is easy to see that y=-5 is in the solution space.
(0, -5) is a solution
What are the coordinates of point A
Answer:
The coordinates of point A are (-4, 3)
hope it helps
Answer:
The coordinates of point A is (-4,3)
Step-by-step explanation:
(x,y)
X= -4
Y= 3
At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?
Answer:
Darlene's dog weighs 10 pounds.
Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.
Hope this helps.
Simplify (-3/5) divided by (7/6)
-18/35 is the answer to (-3/5) divided by (7/6)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
olve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices {Select All That Apply}
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
We have ,
=> -6m < -24
=> m < -24/-6
=> m < 4
Therefore ,
m € (4,-∞)
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
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