Answer:
-2,-3
Step-by-step explanation:
A ball is thrown from the top row of seats in a stadium. The function h(t) = −16t2 + 64t + 80 gives the height, h, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?
Answer:
Step-by-step explanation:
Given the height of the ball expressed as:
h(t) = −16t^2 + 64t + 80
The ball hits the ground the when h(t) = 0
Substitute h(t) = 0 and find t as shown:
h(t) = −16t^2 + 64t + 80
0 = −16t^2 + 64t + 80
−16t^2 + 64t + 80 = 0
Divide throigh by -16
t^2-4t-5 = 0
t^2-5t+t-5 = 0
t(t-5)+1(t-5) = 0
(t+1)(t-5)= 0
t+1 = 0 and t - 5 = 0
t = -1 and t = 5
time can not be negative:
t = 5seconds
Hence it will take 5 secs before the ball his the ground
Solving a quadratic equation, it is found that the ball hits the ground after 5 seconds.
The height of a ball after t seconds is given by:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
It hits the ground at the values of t for which:
[tex]h(t) = 0[/tex]
Then
[tex]-16t^2 + 64t + 80 = 0[/tex]
Simplifying by -16:
[tex]t^2 - 4t - 5 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = -4, c = -5[/tex].
Then:
[tex]\Delta = (-4)^2 - 4(1)(-5) = 36[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1[/tex]
We want the positive value, thus, the ball hits the ground after 5 seconds.
A similar problem is given at https://brainly.com/question/24764843
Type the integer that makes the following addition sentence true
Blank + (-8) = -2
Find the quotient. 0.16/-0.2
- 0.8
Simple division. Shouldn’t be that hard
5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.
Answer:
2,802 boys and 3,693 girls went to Disneyland this weekend
Step-by-step explanation:
System of Equations
Let's call:
b = Number of boys who went to Disneyland this weekend.
g = Number of girls who went to Disneyland this weekend.
The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:
[tex]b+g=6,405\qquad\qquad [1][/tex]
The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:
[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]
To eliminate denominators, multiply [2] by 9g:
[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]
Simplify:
[tex]9b=7g\qquad\qquad [3][/tex]
From [1]:
[tex]b=6,405-g[/tex]
Substituting into [3]
[tex]9(6,405-g)=7g[/tex]
Operating:
[tex]57,645-9g=7g[/tex]
Simplify:
[tex]16g=57,645[/tex]
Solve:
[tex]g=57,645 / 16 \approx 3,603[/tex]
Take the approximate value:
g=3,603
Find b:
[tex]b=6,405-3,603=2,802[/tex]
2,802 boys and 3,693 girls went to Disneyland this weekend
Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.
PLEASEEEEEE HELPPPP!!!!
3)9.375 and 12 is )37.5
How do you do this question?
Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The perimeter of a figure is the total length of its outline, so a sum of all its lengths.
In the diagram we are given two of them, both 7, but not the other two.
Luckily these can be easily worked out.
Since this is a square figure (all angles 90-degrees), all parallel sides will be exactly equal in length. This means both of the unknown sides are 7mi long as well. This means the total perimeter is the sum of all four sides, each of which are 7mi.
7+7+7+7 (OR 4x7) = 28 mi
Hope this helped!
Answer:
The perimeter of the figure is 28 mi
Step-by-step explanation:
Perimeter of a Square
Given a square shape of side length A, the perimeter can be found using the expression below:
P = 4*A
Recall the perimeter is the sum of all the side lengths.
Since the figure shows a square with side length A=7 mi, the perimeter is:
P = 4 * 7 mi = 28 mi
The perimeter of the figure is 28 mi
1/4(-16x+8)? simplify or expand the expression
Answer:
-4x+2
Step-by-step explanation:
g 3. Suppose X and Y are independent, Binomial random variables, respectively, with parameters (n1, p) and (n2, p). Calculate the frequency function of X Y .
Answer and Explanation:
Solution:
Let x and y are independent, ariables.
The parameters of x and y are (n1, p) and (n2, p), respectively.
It means the sum of the independent binomial variable is itself a binomial random variable.
Consider probability of the event [ x = n1],
Denoted by: p(x=n1)
The function:
P(n1) = p(x = n1)
Over the possible value of x say, n1, n2, n3, …, is called frequency function.
The frequency function must satisfy.
∑I p (ni) = 1,
Where the sum is possible values of x.
Similarly,
Consider probability of the event [ y = n2],
Denoted by: p(y=n2)
The function:
P (n2) = p(y = n2)
Over the possible value of y say, n1, n2, n3, …, is called frequency function.
The frequency function completely describes the probabilistic nature of the random variable.
what is the value of x
х = 0/4
Answer:
0
Step-by-step explanation:
0 divided by anything is 0
please hurry, i’ll give you 30 points
Answer:
I cant graph them obviously, but a is not a linear function and b is.
explain how you would use the communitive property of multiplication to aswer 7x3.
Answer:
since 7 times 3 is 21
Step-by-step explanation:
it would be 7+7+7 becuase you do seven times 3
hope that helped!
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Answer:
Quick answer option C
Step-by-step explanation:
The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean.
1
2
3
4
5
6
P(x)
0.14
0.16
0.12
0.14
0.13
0.31
A. = 3.5
OB. u = 3.8
O C. 1 = 0.2
OD. u = 3.9
Answer:
Mean = 3.9
Step-by-step explanation:
Given
The above table
Required
Determine the mean
The mean is calculated as thus:
Mean = Summation of x * P(x)
So, we have:
Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31
Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86
Mean = 3.89
Mean = 3.9 (approximated)
The mean should be 3.9.
Calculation of the mean;Here the following formula should be used:
Mean = Summation of x * P(x)
So,
Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31
= 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86
= 3.89
= 3.9
Therefore, we can conclude that The mean should be 3.9.
Learn more about mean here: https://brainly.com/question/21678821
3. Critique Reasoning Each side of a square patio
is 10.5 feet. The patio is made up of 1.5-foot by
1.5-foot square stones. What is the number of
stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the
problem? Explain.
10.5 X 10.5 = 110.25
110.25 = 1.5 = 73.5
Answer:
Yes
Step-by-step explanation:
(3+sqrt-16)(6-sqrt-64)
Answer:
12i + 9
Step-by-step explanation:
Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.
sqrt -16=4i
sqrt -64=8i
3 and 6 cannot be grouped with them, so you would add these two
3+6=9
8i+4i=12
I believe this would be the answer:
12i + 9.
Answer:
18-32i
Step-by-step explanation:
(3+sqrt(16i)(6-sqrt(64i)
= 18-32i
PLZ HELP 42 POINTS IF U ANSWER I WILL GIVE BRAINEST PLEASE YA'LL What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−14⋅(−611)
Answer:
0.14!
Step-by-step explanation:
Answer:
There is no way I can answer in fraction form, but here is what I calculated: 8554
What is the sum of the expression (8- 4 i) + (-2+7i)?
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
Suppose y = 2x – 2.5. Find x if y = 10.
What is x = to? If you know it would be really helpful thanks
Answer:
x is 131°.
Step-by-step explanation:
Don't really know how to explain it. but I know that is what the measurement is.
In which of the following stores would you pay the least amount for an item that is priced $360?
Store A: Sale of 10% off and a successive discount of 10% off.
Store B: Sale of 15% with no additional discount.
Store C: Sale of $35 off and a successive discount of 10% off.
a.
All of the stores have the same discounted price.
b.
You can get the lowest price at Store A.
c.
You can get the lowest price at StoreB.
d.
You can get the lowest price at Store C.
Please select the best answer from the choices provided
A
B
C
D
''Store A'' has the least amount to pay for an item at price of 291.60.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Price : 360
Hence,
Store A: Sale of 10% off and a successive discount of 10% off.
360 x (100-10)% = 360 x 90% = 324
324 x (100-10)% = 324 x 90% = 291.60
Store B: Sale of 15% with no additional discount
360 x (100-15)% = 360 x 85% = 306
Store C: Sale of $35 off and a successive discount of 10% off
360 - 35 = 325
325 x (100-10)% = 325 x 90% = 292.50
Hence, Store A has the least amount to pay for an item at price of 291.60
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ5
If f(x) = (1\7)(7x), what is f(3)?
Answer:
3
All the steps are in the picture below.
A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
help me please thank you
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
Find the difference. Express the answer in scientific notation.
(9.1 × 10–6) – (8.9 × 10–6)
2.0 × 10–7
0.2 × 10–6
2.0 × 10–6
2.0 × 10–5
Answer:
2.0 * 10^-6
Step-by-step explanation:
Because both numbers have the same scientific notation, you can just subtract the 9.1 from the 8.9 and keep the scientific notation.
(9.1*10^-6) - (8.9*10^-6)
(9.1 - 8.9)*10^-6
(2)*10^-6
Now that you have the answer, you need to use scientific notation, which is
2*10^-6, or 2.0*10^-6.
If anything is unclear, please let me know!
Answer:
it’s A / 2.0 x 10^-7
Step-by-step explanation:
THIS IS THE ANSWER ON EDU
i know because i just took it
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Help APSPPP!!!!!!!!!!!! Hurry
Answer: Linear Pair, 23 degrees
Step-by-step explanation:
So I checked all of the answers and noticed that 23 was the only valid value for X because it means both values add up to 180. This is a linear pair because both angles are separated by another line and are on a straight 180 degree line.