Answer:
Step-by-step explanation:
d(t) = 4t + 382 - 16t²
where d is the distance (in feet) between the rock and ground t seconds after thrown. Ground is 0 feet. As a note, I'm not clear why the "4t" term is in this equation. It has the effect of adding an increase in height at the rate of 4 feet/sec. I'll assume this is to accommodate any increase in height due to the throw, but it is a bit curious.
a. How long after the rock is thrown is it 370 feet from the ground?
The 382 in the equation represents the starting height of the rock (382 feet). To find the time to reach 370 feet:
370 = 4t + 382 - 16t²
Solve using the quadratic equation. There will be two answers, one negative, which we'll discard until we can go backwards in time. The positive value is 1, which would mean the rock will be at 370 feet in 1 second after throwing.
b. After how many seconds will the rock reach the ground?
Ground is 0 feet:
0 = 4t + 382 - 16t²
t = 5 seconds
c. What is the height of the rock when it is halfway to the ground?
The initial height is 382 feet, as per the equation, since when t = o (initial), d(t) is 382 feet. Halfway to the ground would be (382/2) or 191 feet.
f (x)=6xº + 2x² +
+ x
O The function is an even function.
O The function is an odd function.
O The function is neither even nor odd.
Foreign Policy: Imperialism For82622
I can't find the answer could you please help me?
Answer: 10.5
Step-by-step explanation:
what is f in this equation?
0.32=1/f
Step-by-step explanation:
0.32=1/f
1/0.32=f
f=3.125
BRE
What is the scale factor of this dilation?
A'
9
6
B'
15
10
[Not drawn to scale]
O
WN
O
O 3
OO
5
Answer:
2nd option
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{A'C'}{AC}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] = 1 [tex]\frac{1}{2}[/tex]
Heights of Basketball Players (inches)
Mean = 78.8
MAD = 2.4
Heights of Soccer Players (inches)
Mean = 71.9
MAD = 2.2
Difference in means = 6.9
Which statement is true?
A.) The difference between the mean heights is approximately equal to the MAD of the data sets.
B.)The difference between the mean heights is approximately 2 times the MAD of the data sets.
C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.
D.)The difference between the mean heights is approximately 4 times the MAD of the data sets.
hurry hurry!!!
Answer:
b is my answer and that's it
Answer:
C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.
Step-by-step explanation:
just took it on edge
7 Given S - sum of the digits in the number M, find
the values of S when
(a) M461
(b) M17 (c) M
Answer:
the answer is 45%.
Step-by-step explanation:
if you add 5% divided by 3 = 15%.
So if you add all of those plus the 30% you will be getting 45%.
Angle KLM and angle MLN are a linear pair.
A horizontal line has points K, L, N. A line extends from point L up and to the right to point M.
Ray LR is to be added to the diagram so that it is opposite ray LM. Which is true about angle RLN that would be formed?
Angles RLN and MLK would be vertical angles.
Angles RLN and MLN would be vertical angles.
Angles RLN and KLM would be a linear pair.
Angles RLN and KLN would be a linear pair.
Answer: Angles RLN and MLK would be vertical angles.
Step-by-step explanation:
A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.
Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.
Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.
Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.
Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.
Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.
To know more about Angles
https://brainly.com/question/13954458
#SPJ4
Solve the equation on the
interval [0, 27).
4(sin x)2 - 2 = 0
X
.
7
[?] []? []T
x =
4) 4 4 4
Write your answer in increasing order. Enter the
number that belongs in the green box.
Enter
Answer:
see explanation
Step-by-step explanation:
note that (sinx)² = sin²x
4sin²x - 2 = 0 ( add 2 to both sides )
4sin²x = 2 ( divide both sides by 4 )
sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )
sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]
sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )
x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]
sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )
x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]
solutions are
[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )
Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75. How many adult tickets and student tickets were purchased.?
Answer:
5 adult and 3 student tickets were purchased
Step-by-step explanation:
Let x be the number of adult tickets
Then 8−x is the number of student tickets
7.25x+5.5(8−x)=52.75
7.25x+44−5.5x=52.75
1.75x=8.75
x=5
Therefore, 5 adult and 3 student tickets were purchased
"You've fallen into my trap!" Justin shouts, laughing like
the madman he is. The mouse he captured stares back at
him indifferently as it munches on a piece of cheese at the
bottom of a box whose base measures 12 cm by 12 cm.
Move the points on the grid below to draw the base of
the box in which the mouse is trapped.
Answer:
18 units by 18 units
makes sure the square add up to 18 going across and 18 going down.
Step-by-step explanation:
The table shows the favourite type of film for 20 people
Answer:
??????????
Step-by-step explanation:
Somebody help me with this please
Answer:
Step-by-step explanation:
∠R=90-61=29°
using sin formula
[tex]\frac{x}{\sin~29} =\frac{59}{\sin~61} \\x=\frac{\sin~29}{\sin~61} \times ~59 \approx~32.7[/tex]
6.) Which expression is equivalent to b^-4?
There are no options.
Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} } .[/tex][tex]\frac{1}{b^{4} }[/tex] <------------- only expression created by this rule.
This is best possible, there should be answer displayed.Answer:
Step-by-step explanation:
The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.
Recall that:
1
------------- = a^(-n)
a^n
1
Therefore, b^(-4) = --------------
b^4
write the equation that models each linear relationship
Note: I will be writing these in slope-intercept form.
[6] y = 2x + 4
Since the line is going from bottom left to top right, we know the slope of the line is positive.
-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.
-> The slope can be found with change in y over change in x,
[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]
-> The final equation is y = 2x + 4
[7] y = -3x - 5
Because the line is going from top left to bottom right, we know the slope of the line will be negative.
-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.
-> The slope can be found with change in y over change in x,
[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]
-> The final equation is y = -3x - 5
Instructions: Find the length of the missing side.
Please help explain how I do this!! I will give you a Brainliest!!!!
Answer:
side AB = [tex]9\sqrt{2}[/tex]
hypotenuse CB = 18
Step-by-step explanation:
with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is [tex]9\sqrt{2}[/tex] , then AB would have to be the same so therefore it would also be [tex]9\sqrt{2}[/tex]. We also know that the length of the hypotenuse (CB) is the length of the leg times [tex]\sqrt{2}[/tex]. So, it would be [tex](9\sqrt{2} ) *\sqrt{2}[/tex], which is the same as saying [tex]9*(\sqrt{2}) * (\sqrt{2} )[/tex]. Doing [tex](\sqrt{2}) * (\sqrt{2} )[/tex] would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.
The radius of a semicircle is 1 cm.Whats the semicircles area?
Step-by-step explanation:
Area=1/2(πr^2)
= 1/2 × 22/7 × 1^2
=11/7=1 4/7cm^2
Please show work on answer
Answer:
x = 14
Step-by-step explanation:
x + 96 + 5x = 180
6x + 96 = 180
6x = 84
x = 14
Answer:
[tex]\huge\boxed{\sf x = 14}[/tex]
Step-by-step explanation:
x + 96 + 5x = 180 (Angles on a straight line)
Combine like terms
x + 5x + 96 = 180
6x + 96 = 180
Subtract 96 to both sides
6x = 180 - 96
6x = 84
Divide both sides by 6
x = 84 / 6
x = 14
[tex]\rule[225]{225}{2}[/tex]
Do anyone know how to do algebra 1 ixl . I really need help .
Calculate the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly. a. $247.44 b. $337.56 c. $433.88 d. $505.79
The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660
It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.
It is required to find the monthly payment.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have P = $23,570
r = 10.43% = 10.43/100 = 0.1043
n = 12
t = 5 years
Putting all the values in the formula, we get:
[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]
[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]
The monthly payment will be:
=[tex]\rm \frac{A}{t(in \ months)}[/tex]
[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]
Thus, the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.
Learn more about the compound interest:
https://brainly.com/question/26457073
Answer:
D. 505.79
Step-by-step explanation:
edge 2022
A theater has 15 seats in the front row. The number of seats in each row follows an arithmetic series with 72 seats in the last row. The theater has a total of 870 seats. How many rows does the theater have? By how many seats does each row increase? Please show all work.
Step-by-step explanation:
Given:
Theater has 15 seats
Last Row has 72 seats.
Theater has a total of 870 seats.
Unknown: Number of rows
Number of seats in each row.
Equations: Since we know the total number of seats the Theater has we can use the sum of arithmetic series
[tex]s = \frac{a _{1} + a _{n} }{2} n[/tex]
Where a1 is the first row of seats
s is total number of seats
an is last row of seats
n is number of rows.
[tex]870 = \frac{15 + 72}{2} (n)[/tex]
[tex]870 = \frac{87}{2} n[/tex]
[tex]2(870) = 87n[/tex]
[tex]20 = n[/tex]
So we have 20 rows.
To find how many seats does each row increase, we use this formula,
[tex]a _{n} = a + (n - 1)d[/tex]
Let use the 20th row as an example,
[tex]a _{20} = 15 + (19)d[/tex]
[tex]72 = 15 + (19)d[/tex]
[tex]57 = 19d[/tex]
[tex]3 = d[/tex]
So the common difference is 3.
So the seats of each row increase by 3.
Suppose you know the volume of a pyramid with a rectangular base is 200 cubic units. How could you find a set of dimensions for the pyramid?
help please really confused
Answer:
A and C (integers are whole numbers, so NOT fractions or decimals.)
Step-by-step explanation:
Answer:
A, C and E
Step-by-step explanation:
Integers are whole positive or negative numbers.
Find the following measures of central tendency for the given set of data.
{2, 7, 6, 9, 4, 3, 8, 1, 6, 2}
a. Mean =
b. Median =
c. Mode=
through (4, -1), parallel to y=-3/4x
7. How much orange juice will it in a can with a radius of 2 inches and a heigh of 6 inches?
Answer:
Vol = 75.36 in^3
Step-by-step explanation:
A can is a cylinder. The volume of a cylinder is:
V = pi•r^2•h
Your radius is 2 inches. And height given is 6 inches.
V = pi•2^2 •6
V = (3.14)4(6)
V ~= 75.36 cubic inches
If you need a different unit like ml or oz. please comment, will edit.
Hope this helps!
Mark me the Brainliest! tysm!
Somebody help me with this please
Answer:
[tex]\tt x=32.8[/tex]
Step-by-step explanation:
Given: Figare
Find: x
[tex]\tt Tan(61)=\cfrac{59}{x}[/tex][tex]\tt 1.804=\cfrac{59}{x}[/tex][tex]\tt x=\cfrac{59}{1.804}[/tex][tex]\tt x=32.8[/tex]~
What is the solution of log (2 t 4) = log (14 minus 3 t)?.
The solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.
What is logarithmic properties?
Considering that the logarithm function is injective then the log is removing from the both sides and solving the equation for the value of t.
Given
The equation is;
[tex]\rm log(2t+4)=log(14-3t)[/tex]
The solution of the equation is;
[tex]\rm log(2t+4)=log(14-3t)\\\\2t+4=14-3t\\\\2t+3t=14-4\\\\5t=10\\\\t=\dfrac{10}{5}\\\\t=2[/tex]
Hence, the solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.
To know more about logarithmic properties click the link given below.
https://brainly.com/question/2824272
Sam Martin makes $7 per hour and works 40 hours per week. What would be the amount of his bi-weekly gross paycheck?What would his gross yearly income be?He is single, with no dependents. Figure the following amounts that will be
deducted from his paycheck.
A. Medicare: ______________________________
B. Social Security: __________________________
C. Federal Income Tax: ______________________
D. Additional State Withholding: ____________
What would his bi-weekly net pay be?
What is the total amount deducted from his paycheck?
Answer:
Sam would make about 13,440 per year.
His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.
Write in point-slope form the equation of the line that passes through the point (- 1, 6) and has a slope of -2
Answer:
y= -2x+4
Step-by-step explanation:
can someone help please i am disintegrating by the second