Answer: 12
Step-by-step explanation:
I don’t know if I’m right but I’m Sure it’s 12
SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t+1) where the height h is measured in feet and the time t
Answer:
The diver will hit the water at 1.5 seconds
Step-by-step explanation:
Given
[tex]h= -16(t-1.5)(t+1)[/tex]
Required (Missing from the question)
When will the diver hit the water?
To do this, we simply solve for t
When the diver hits the water, the height is 0 (at that point)
So, substitute 0 for h in [tex]h= -16(t-1.5)(t+1)[/tex]
[tex]0= -16(t-1.5)(t+1)[/tex]
Divide both sides by -16
[tex]\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}[/tex]
[tex]\frac{0}{-16} =(t-1.5)(t+1)[/tex]
[tex]0 =(t-1.5)(t+1)[/tex]
[tex](t-1.5)(t+1)=0[/tex]
Split
[tex]t - 1.5 = 0[/tex] or [tex]t + 1 = 0[/tex]
Solve for t
[tex]t = 1.5[/tex] or [tex]t = -1[/tex]
But time (t) can not be negative.
So:
[tex]t = 1.5[/tex]
Hence, the diver will hit the water at 1.5 seconds
The length of an object, f(x), in yards, is a linear function of the length of the object, x, in feet. What units should be used to describe the rate of change in f(x) with respect to x?
A.
Inches per foot
B.
Feet per yard
C.
Yards per foot
D.
Yards per inch
Answer:
DADDY CHILL
Step-by-step explanation:
The ages of three girls; Mandy, Dora and Ann are, 113 base 4 , 133 base 4 , and 131 base 4 respectively;
find the difference between the sum of the ages of Dora and Ann and that of Mandy
Answer:
211 base 4
Step-by-step explanation:
Sum of dora and Ann = (133+131) base 4
= 330 base 4
Difference = (330-113) base 4
= 211 base 4
Find the 6th term 9 18 36
Answer:
I think the answer is 288.
Step-by-step explanation:
The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.
hope this helps :D
Answer:
Step-by-step explanation:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]
2a+b=5 and 6y+4y=48 show that 20a+10b has a greater value than 3x+2y
Answer:
Step-by-step explanation:
There is an error in the question. 6x+4y = 48
Multiply first equation by 10:
20x+10y = 50
Divide second equation by 2:
3x+2y = 24
50>24, so 20x+10y > 3x+2y
The graph of the function f is shown. f(5) =
A)
-5
B)
-1
C)
0
D)
5
Answer:
The Answer Is C ) 0
Step-by-step explanation:
what is the slope of the line that passes through the points (3,-2) and (9,-2)? 0 3 -3 undefined
Answer:
[tex]\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}[/tex]
Step-by-step explanation:
Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by [tex]\tan\theta[/tex]
Slope of a line is :-
[tex]\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}[/tex]
On using this formula we can find the slope of the line .
Putting the respective values :-
[tex]\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}[/tex]
Answer:
Its zero -w-
Step-by-step explanation:
Increase £19060 by 9% Give your answer rounded to 2 DP.
Answer:
Step-by-step explanation:
= £19060 * 9%
= 1715.4
Increase £19060 by 9%
= £19060 + 1715.4
= £20,775.4
Hope this helps you. Do mark my answer as brainly.
Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Lin's sister's account is -$2.67. In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.
Step-by-step explanation:
Today, Lin's sister's balance is -$2.67
She gets charged $5.95 per day.
There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times
So her balance after 14 days will be:
Balance = -$2.67 - $5.95*14 = -$85.97
When she charges the $430 in the account, her balance will be:
Balance = -$85.97 + $430 = $344.03
So now she has a positive balance, which means that the bank does not charge her anymore.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 399 attendees. For safety training next month, she reserved 1 conference room and 5 ballrooms, which can seat 363 attendees. How many attendees can each room accommodate?
Answer:
x=18 y=69
Step-by-step explanation:
3x+5y=399
x+5y=363
2x=36
x=18
18+5y=363
5y=345
y=69
someone who gets both correct first get BRAINLY!!PLZ HELP ONLY ANSWERS!!!
Answer:
1 = 11.3
2 = 16
Hope I helped
POPULATION In 2000, the world population was calculated to be 6,071,675,206. The world population increases at a rate of about 1.2% annually.
Write a function that represents the world population y after x years.
A) y = 6,071,675,205(1.012)^x
B) y = 6,071,675,206(1.012)^x
C) y = 6,071,605,205(1.012)^x
D) y = 6,071,675,215(1.012)^x
PLEASE HELP!!
Answer:
B) y = 6,071,675,206(1.012)^x
Step-by-step explanation:
It appears that this question asks for an exponential model that represents the population growth. I believe you could view the equation in the form y = (initial population)(rate)^x
Since the initial population is 6,071,675,206, you could substitute that in to get y = 6,071,675,206(rate)^x
Since your rate is increasing by 1.2% (0.012 in decimal form), just convert that to decimal form (knowing that 100% = 1.0, add 0.012 to get 1.012). Substitute that in to get y = 6,071,675,206(1.012)^x
Hope that helps. Feel free to let me know if it made sense.
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop
AL
2
In a high school stadium there are 750 seats. There are twice as many seats in the home
section as there are in the visitor section. Which system of equations could be used to
determine the number of seats in the home section, h, and the number of seats in the
visitor section, v, in the stadium?
PLEASE HELP HURRY PLEASEEE
Answer:
There are 250 home section and 2(250) = 500 visitor section.
Step-by-step explanation:
Let there are h number of seats in the home section and v is the number of seats in the visitor section.
h+v = 750 ...(1)
There are twice as many seats in the home section as there are in the visitor section.
v = 2h ...(2)
From equations (1) and (2).
h+2h = 750
3h = 750
h = 250
Hence, there are 250 home section and 2(250) = 500 visitor section.
A hiker in Africa discover a skull that contains 63% of its original amount of C-14
What is the solution to the equation?
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
the graph of y = 4x^2 - 4x - 1 is shown use the graph to find estimates for the solutions of a and b
Answer:
a) -0.25 and 1.25
b) -0.5 and 1.5
Step-by-step explanation:
a) For 4x^2-4x -1 = 0
What we have to do here is to simply find he points on the x-axis in which the graph crosses it
we have this as;
approximately-0.5 and 1.5
what we are saying is that the plot crosses the x-axis at x = -0.25 and x = 1.25
ii) what we have to do here is to find the point at which y = 2
After finding this point, we trace it to the plot sideways, before we trace to the x-axis
By tracing, we have the crossing on the x-axis at these points at -0.5 and 1.5
How do I graph this?
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
(explain)
Answer:
x = 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
make equal equations first
[tex]\frac{3/4}{1 and 1/8}[/tex] = [tex]\frac{1}{x}[/tex]
cross multiply to get: 3/4x = 1 [tex]\frac{1}{8}[/tex]
divide by 3/4 on both sides: x = 1 [tex]\frac{1}{2}[/tex]
whats -11 + x =19
i just dont know what we do can someone help me?
IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
pls answer guys if you do you get something good
Answer:
10 pounds of barley
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
7*5=35
therefore, 2*5=10
this is a quiz on special right triangles. please help me i cannot fail this. i will mark brainliest
Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me
Answer:
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]P = -4[/tex] --- missing from the question
[tex]Distance = 6\frac{1}{2}[/tex]
Required
Determine the possible value of Q
The distance can be calculated using absolute function as:
[tex]Distance = |Q - P|[/tex]
Substitute values for distance and P
[tex]6\frac{1}{2} = |Q - (-4)|[/tex]
[tex]6\frac{1}{2} = |Q +4|[/tex]
The absolute function can then be split as:
[tex]6\frac{1}{2} = Q + 4[/tex] or [tex]-6\frac{1}{2} = Q + 4[/tex]
Make Q the subject in both cases:
[tex]Q = 6\frac{1}{2} - 4[/tex] or [tex]Q = -4 - 6\frac{1}{2}[/tex]
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
Which model represents the factors of x2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
Those are the factors of x^2+9x+8
1a. Tell whether the angles are adjacent or vertical. *
1 point
O Adjacent
O Vertical
1b. Find the value of x.
1 point
You answer
Answer:
it is adjacent and the answer to 1b is 146
match each set of values to its correct median
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
>
Find the next three values in the sequence,
-64,-32,-16,-8...
Answer:
-4, -2, -1
Hope that helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
geometric sequence with common ratio = 1/2
a₅ = a₄(1/2) = -4
a₆ = a₅(1/2) = -2
a₇ = a₆(1/2) = -1
what is distance between C(−5,−2) and D(0,−4)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-5, -2)
Point D(0, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]