Answer:
84feetStep-by-step explanation:
Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.
Velocity V is the change of rate of displacement.
V = dh/dt = 32t
0 = 32t
t = 0secs
at t = 0;
h(0) = 16(0)²+84
h(0) = 84feet
This shows that the maximum height of the ball is 84feet
the first car costs $90 to rent, and because of its fuel consumption rate, there’s an additional cost of $0.50 per kilometers driven. How much is it for 500 kilometers
Answer:
It would be $340 (with rental cost)
Without the rental cost it would be $250
Step-by-step explanation:
You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.
Equation: 90 + .05k
k= kilometers
Solve for n.
2/3 (1 + n ) = -1/2n
Answer: -4/7
Step-by-step explanation:
2/3 (1 + n ) = -1/2n
2/3 + 2/3n = -1/2n
Multiply both sides by 6
4 + 4n = -3n
4n + 3n = -4
7n = -4
Divide both sides by 7
n = -4/7
Answer:
Answer above its explained fully
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
f⁻¹(-2)=3
f⁻¹(1)=0
Step-by-step explanation:
inverse function flips x any coordinate into y and x
the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line
Answer:
2x + 3y = 18
Step-by-step explanation:
y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions). This result simplifies to 3y = - 2x + 18, which can be re-ordered as
2x + 3y = 18 (equation in standard form)
How do outliers affect data analysis? A.They may significantly affect the mean of the data. B.Not enough information. I would need to know what the data points are. C.They afect the mode of the data. D.They do not, just calculate them with the data the same as all the other data. PLEASE HELPPP!!!!!!
Answer:
A.They may significantly affect the mean of the data.
Step-by-step explanation:
The outliers may significantly affect the mean of the data.
What is outlier?The extreme values in the data are called outliers.
Example: For a data set containing 2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.
In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.
The outliers are a part of the group but are far away from the other members of the group.
For example:
Consider the data: 70, 73, 77, 71, 7, 73, 72, and 78
Let's calculate the mean to understand how the outlier affects the results.
Here, the datapoint 7, is an outlier.
Mean (with outlier)
=70+73+77+71+7+73+72+78/8
=521/8
=65.1
Mean (without an outlier) = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.
the outlier creates a variation in the mean value of the data.
As, from the example discussed above we have seen that outliers depends on mean of the data.
Hence, outliers may significantly affect the mean of the data.
Learn more about outliers here:
https://brainly.com/question/26958242
#SPJ5
A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.
Answer:
| 32 - c | [tex]\leq[/tex] 8
Step-by-step explanation:
c represents the cost of the medication
This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.
Answer:[x - 32] <(with line under it) 8
Step-by-step explanation:
Which of the following are accepted without proof in a logical system check all that apply
Answer:
postulates, common notions, and axioms
I need help with number 8 please help me
Answer:
Brainliest to me >:DStep-by-step explanation:
(3,2) (4,5)
-4 on the left number (3 and 4)
-3 on the right number (2,5)
creates:
A'(-1,-1) AND B'(0,2)
Convert the fraction
103
7497
to an equivalent percentage.
Report your answer accurate to one decimal place.
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
Do the table and graph represent the same function?
May drives a total of 44 miles each day to take her children to and from school. The children go to school 5 days a week. May's vehicle gets 17 miles per gallon of gas. About how many gallons of gas does May need to take her children to and from school each week?
Answer:
12.94 gallons/week
Step-by-step explanation:
44x5=220
220/17=12.94
Answer:
13 gallons
Step-by-step explanation:
44 miles x 5 days = 220 miles
220 miles / 17mpg = 12.9
12.9 rounded up is 13
Final Answer is 13 gallons
Find the slope of the line y=5x+4
Answer:
Slope = 5
Step-by-step explanation:
y = mx + b
m = slope
Slope = 5
Answer:
5
Step-by-step explanation:
Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.
which graph shows the solution to the system of linear inequalities x-4y< 4 y < x+1
Answer:
Third graph in the image attached
Step-by-step explanation:
Let's rewrite the first inequality:
x - 4y < 4
-4y < 4 - x
4y > x - 4
y > x/4 - 1
We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)
Now, for the second inequality, we have:
y < x+1
We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)
Now, if we combine these solutions, we have the third graph in the image attached.
The crossing point can be found making the value of y from one line equal the value of y from the other line:
[tex]x/4 - 1 = x + 1[/tex]
[tex]x - x/4 = -2[/tex]
[tex]3x/4 = -2[/tex]
[tex]3x = -8[/tex]
[tex]x = -8/3[/tex]
[tex]y = x + 1 = -5/3[/tex]
The crossing point is (-8/3 , -5/3)
Answer:
its c
Step-by-step explanation:
edge
Which complex number has a distance of V17 from the origin on the complex plane?
O 2 + 151
O 17 +7
O 20 – 3i
O 4-7
Answer:
[tex]4-i[/tex]
Step-by-step explanation:
Use the formula for the distance of a complex number from the origin on the complex plane.
[tex]\sqrt{a^2+b^2}[/tex]
[tex]a+bi[/tex]
[tex]4-i[/tex]
[tex]\sqrt{4^2-i^2}[/tex]
[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]
The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].
By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)
How to determine the distance of a complex numberComplex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:
[tex]r = \sqrt{a^{2}+b^{2}}[/tex]
If we know that a = 4 and b = -1, then the magnitude of the complex number is:
[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]
[tex]r = \sqrt{17}[/tex]
By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)
RemarkThe statement presents several typing mistakes, correct form is shown below:
Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?
A. 2 + i 15
B. 17 + i
C. 20 - i 3
D. 4 - i
To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.
Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
what is the answer to this please?
-3(x+2)+5x = -9
Answer:
[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]
What are the possible solutions to this system?
Answer:
x < 6.5
y < -1.5
Step-by-step explanation:
y > x - 8
Therefore x < y + 8
y < 5 - x
Therefore x < 5 - y
2x < 13
x < 6.5
6.5 < 5 - y
y < -1.5
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Complete question:
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.
Answer:
In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.
We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.
Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.
Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.
The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.
the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation
Answer:
Step-by-step explanation:
The work form of this upside down parabola is
[tex]y=-|a|(x-h)^2+k[/tex]
It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:
[tex]-6=-|a|(5-4)^2-3[/tex] and
[tex]-6=-|a|(1)^2-3[/tex] and
[tex]-6=-|a|1-3[/tex] and
[tex]-6=-|a|(-2)[/tex] and
3 = -|a|
Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.
Answer: The answer is -3!!!!!!!!!
Step-by-step explanation:
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
what is the exact solution for 75(1/5)^(x/5)=3
Answer:
[tex]\large \boxed{x = 10}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}[/tex]
[tex]\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}[/tex]
Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.
7
tan(60) = h/40
h = 40 x tan(60)
h = 40√3
cos(60) = 40/r
r = 40/cos(60)
r = 80
8.
tan(60) = p/82
p = 82 x tan(60)
p = 82√3
cos(60) = 82/t
t = 82/cos(60)
t = 164
9.
tan(60) = 22√3 /x
x = 22√3 /tan(60)
x = 22
sin(60) = 22√3 /k
k = 22√3 / sin(60)
k = (20/3)√3
What is: x^2+2x-35? Please help
Answer:
(x +7)(x - 5)
Step-by-step explanation:
x² + 2x - 35
- 35 = 7*(-5)
2 = 7 + (-5)
x² + 2x - 35 = (x +7)(x - 5)
Find the volume of the pyramid.
Answer:
62.5 in cubed
Step-by-step explanation:
The formula is l*w*h divided by 3
5*5= 25
and 25*7.5= 187.5
187.5/3= 62.5
Pls mark brainliest!!
Answer:
[tex]62.5 {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is 5k+(-2k)-(-1)
Answer:
Brainliest goes to me!
Step-by-step explanation:
5k-2k+1
3k+1
Tomas works as an underwater photographer. He starts at a depth of 20 feet, ascends 9 feet, descends 12 feet, and then descends 15 feet more. What is the diver's final depth?
Answer:
38 feet
Step-by-step explanation:
Simplify the following fraction:147/231
Answer:
7/11
Step-by-step explanation:
Both the numerator and denominator are divisible by 21.
so:
147 divided by 21 = 7
231 divided by 21 = 11.
When they are re-assembles to a fraction = 7/11
Hope this helps.
Please mark brainiest
answer this plz quickly
Answer: THE ANSWER IS -1/36
Step by step: Find the LCD then combine
The answer is : -1/36
You forgot the 1 for 18 in the last question lol
Hope this helps, pls mark as brainliest :))))
Which sentence below is true? A. All trapezoids are squares. B. All parallelograms are squares. C. All squares are rectangles. D. All rectangles are squares.
Answer:
b
Step-by-step explanation:
