Step-by-step explanation:
(arb)4 = 81r24
a4r4b = 81r24
a4 = 81
a = 4√81
a = 3
r4b = r24
4b = 24
b = 6
any more help just ask :)
During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16t2 + 56t and h = -16t2 + 156t - 248, where t is the time that has passed since the first ball was hit.
Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.
9514 1404 393
Answer:
40.5 ft
Step-by-step explanation:
Solve for the time at which the balls meet, then find the corresponding height.
__
The balls will meet at the height such that the two values of h are the same.
-16t^2 +56t = h = -16t^2 +156t -248
0 = 100t -248
t = 2.48
Using the first equation to find h, we have ...
h = t(-16t +56) = 2.48(-16·2.48 +56) = 40.4736
The balls meet at a height of about 40.5 feet.
Answer:
Use substitution to write the equation: -16t^2 +56t = -16t^2 + 156 - 248
simplify and solve for t, which is 2.48 seconds
substitute 2.48 for t into either equation to get h=40.5 feet
If someone could please answer this for me it’s 9th grade math 12 points:) asap pleaseee
Kira owes her mom $125 and is planning to to payer back with payments $7 a week. Write an equation in slope-intercept form that models this situation.
Answer:
y = 17(7) + 6
Step-by-step explanation:
Given that:
Amount owed = $125
Payment per week = $7
Number of whole weeks to pay :
$125 / $7 = 17.85 = 17 whole weeks
$125 - (17 * 7) = $125 - $119 = $6
Using slope intercept notation :
y = mx + c
Where m = slope ; c = intercept. ;
m = 17,; x = $7, c = $6
y = 17(7) + 6
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer
Answer:
The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].
Step-by-step explanation:
We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one as the treasurer of the remaining 8 members.
We want harry to be as either as secretary or as treasurer. so we will consider both the cases
Probability is given by = No of favorable outcomes/ Total no of outcomes
(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer
As president = [tex]\frac{1}{10}[/tex]
Not as president = [tex]1 - \frac{1}{10}[/tex] = [tex]\frac{9}{10}[/tex]
Now he is selected for the secretary so he can't be selected as treasurer.
Not as treasurer = 1
Probability for chosen as secretary = [tex]\frac{9}{10}*\frac{1}{9}*1[/tex] = [tex]\frac{1}{10}[/tex]
(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.
Probability for not chosen as president = [tex]\frac{9}{10}[/tex]
Probability for not chosen as secretary = [tex]1-\frac{1}{9} = \frac{8}{9}[/tex]
Probability to be chosen as treasurer = [tex]\frac{1}{8}[/tex]
Probability to be chosen as Treasurer = [tex]\frac{9}{10}*\frac{8}{9}*\frac{1}{8}[/tex] = [tex]\frac{1}{10}[/tex]
Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)
= [tex]\frac{1}{10} +\frac{1}{10} = \frac{1}{5}[/tex]
Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].
a shed in the shape of a rectangular prism measures x feet high, x + 6.5 feet wide, and is x-4 feet deep. The volume of the shed is given by the function v(x)=x^2+2.5x-26. What is the height, width, and depth of the shed, in feet, if the volume is 990ft^3?
Answer:
x-9
Step-by-step explanation:
HOPE THIS HELP -_-
It took a ball 4 minutes to roll 286 feet. What was this ball's average speed, in feet per second? (round to the nearest hundredth)
Answer:
1.192 feet per second
Step-by-step explanation:
convert 4 minutes into seconds
4 times 60
240 seconds
velocity (speed)= distance divided by time
v=286/240
v=1.192
The United States Air Force has 19 women for every 81 men enlisted. If a squadron has 750 memebers, approximately how many are women?
Answer:here are approximately 143 women
Step-by-step explanation:
Step 1
Given that for every 19 women, there are 81 men in the United States Air Force therefore we can say the ratio between the men and women is given as 81:19
such that the fraction to represent men = ratio of men/ total ratio of men and women
81/(19 + 81)= 81/ 100 =0.81
and the fraction to represent women = ratio of women/ total ratio of men and women
19/(19 + 81)= 19/ 100 = 0.19
Step 2-
To calculate the number of men in a 750 squadron, we have that
fraction of men x number of members
=0.81 x 750= 607.5 ≈ 608
To calculate the number of women in a 750 squadron, we have that
fracton of women x number of members
=0.19 x 750= 142.5 ≈ 143
Therefore there are approximately 143 women .
Select the two expressions that are equivalent to each other.
A. 2/1
B. -1/-2
C. 0.5
D. -0.2
E. -1/2
If sinB = 3/5, find the value of tanB *
Answer:
[tex]\boxed {\boxed {\sf tan (B)=3/4}}[/tex]
Step-by-step explanation:
First, recall the right triangle trigonometry ratios.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan (θ)= opposite/adjacentWe are looking for tangent, so we will use the last ratio.
We know that the sine of B is 3/5. Since sine is opposite over hypotenuse, the opposite is 3 and the hypotenuse is 5.
But, tangent needs opposite and adjacent.
We have to find the adjacent. This can be done using the Pythagorean Theorem, because these ratios are used with right triangles.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know the hypotenuse is 5 and one of the legs is 3.
[tex](3)^2+b^2=(5)^2[/tex]
Solve the exponents.
(3)²= 3*3=9 (5)²=5*5=25[tex]9+b^2=25[/tex]
Subtract 9 from both sides of the equation to isolate the variable.
[tex]9-9+b^2=25-9\\b^2=25-9\\b^2=16[/tex]
b is being squared. The inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt{b^2}=\sqrt{16} \\b=\sqrt{16} \\b=4[/tex]
The adjacent side is 4.
Now we know the opposite (3) and adjacent (4). We can substitute these into the tangent ratio.
tan(θ)= opposite/adjacent
tan(B)=3/4
The tangent of B is 3/4
Give the domain and range.
A relation. An arrow goes from negative 2 to 4, 0 to 0, and 2 to 4.
a.
domain: {4, 0} range: {–2, 0, 2}
b.
domain: {4, 0, 4} range: {–2, 0, 2}
c.
domain: {–2, 0, 2}, range: {4, 0}
d.
domain: {–2, 0, 2}, range: {4, 0, 4}
Answer:
C
Step-by-step explanation:
The domain of the given function is {–2, 0, 2} while range is {4, 0} so option (C) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
Given the function,
An arrow goes from negative 2 to 4, 0 to 0, and 2 to 4.
So,
-2 → 4 , 0 → 0 and 2 → 4
Since the domain is a set of input values here input is -2,0 and 2.
So
Domain = {-2,0,2}
And the range is a set of output values here output is 4, 0
So,
Range = {4,0}
Hence "The domain of the given function is {–2, 0, 2} while range is {4, 0}".
For more details about the range and domain of the function,
brainly.com/question/28135761
#SPJ2
TIMED TEST!!!
Answer Choices
A)Neither Anne or Tim
B)Both Anne and Tim
C)Only Anne
D)Only Tim
Answer:
C) only ANN
Step-by-step explanation:
Ann is right but Tom isn't because angles are the same during a reflection but he said angles that aren't congruent were.
a. 128
b. 136
c. 153
d. 258
plz help
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
find A∩ (B∪ C)
A={2,3,5,8}
B= {3,5,7}
C={2,4,8}
Answers:
•{}
•{2,8}
•{2,3,5,8}
•{2,3,4,5,7,8}
Answer:
2,4
Step-by-step explanation:
(2,3)
(2,5)
(5,8)
Select the equivalent expression
Answer:
D is the answer of this expressionwitch expression is equal to |-12| -|-3|?
A -15
B -9
C 9
D 15
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
| - 12 | - | - 3 |
= 12 - 3
= 9 → C
Absolute wizards of y'all can figure this out
Answer:
B. 39
Step-by-step explanation:
45 - 4 + 2 - 7 - 1 + 3 + 1
39
Answer:
B would be the answer because
Step-by-step explanation:
I did the whole thing to the right answer
45-4=4141+2=4336-1=3535+3=3838+1=39Hence, the answer is 39 and the only answer on your quiz is B so your answer would be and always well be B (39)
graph the inequality y is less than -2x+4
(i just need the ordered pairs to graph it pls help)
Solve for x: 4x=-2x+36
Answer:
6x=36
x=6
Step-by-step explanation:
The relationship (3,2)(2,5) (8,5) (3,6) is a function
A True
B) False
Answer:
I would say it's B. false
Answer:
False
Step-by-step explanation:
Look at the inputs (x-values)
If the inputs are the same, the relationship is Not a function.
Inputs (x-values), cannot share the same output (y-values).
Example:
Inputs Outputs
3 2
2 5
8 5
3 6
In the input there are two 3's which causes this to not be a function.
(Outputs can have the same numbers repeating just not inputs.)
Can someone help me? Will make you the brainiest
Answer:
D y=-1/2(x-3)+6
Step-by-step explanation:
the slope is -1/2 then you do rise/run and simplify and you'll get the answer
Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% of the bill, how much of the total bill will patti pay
Answer:
17% of the bill
Step-by-step explanation:
Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.
35 + 48 = 83%
now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.
100% - 83% = 17%
So Patti is paying 17% of the bill
If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17
45 x 0.17 = 7.65
So Patti is paying 7 dollars and 65 cents
11 is 44% of ? PLEASWE HELP
‼️ASAP‼️ Which polynomial is in standard form?
Answer:
[tex]12x^5-6x^{2} -9x+12[/tex]
Step-by-step explanation:
To put a polynomial in standard form, you would need to write its terms in the order of highest to lowest degree. The degree is the exponent of a term's variable. [tex]12x^5-6x^{2} -9x+12[/tex] is the only equation out of all the choices that satisfies that requirement. (Remember that the degree of -9x is 1. A term with just one variable with no exponent written still has a degree of 1. Also, 12 is a constant, or a number with no variable, so it has a degree of 0.)
Answer:
2nd one
Step-by-step explanation:
[tex] {12x}^{5} - {6x}^{2} - 9x + 12[/tex]
The temperature of a pot of water was 180.3°F and cools at a rate of -2.5°F per minute. a. What is the temperature after 20 minutes? b. Look for Relationships How many minutes will it take to cool from 180.3°F to 100.3°F?
Answer:
A. 130.3F B. 32 minuits
Step-by-step explanation:
A: if It cools 2.5F a minuite than we will do 20x2.5=50
180.3-50=130.3
B: 180.3-100-3=80. So that means it cooled 80 degrees. we then divide 80 by 2.5. 80/2.5=32. and we know that it has cooled for 32 minuits
It takes 32 minutes to cool from 180.3°F to 100.3°F.
Given that, the temperature of a pot of water was 180.3°F and cools at a rate of -2.5°F per minute.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the temperature after 20 minutes be x.
Now, x = -2.5 × 20
= - 50° F
So, 180.3-50 = 130.3° F
Time taken to cool from 180.3°F to 100.3°F = 180.3-100.3=80°F
= 80/2.5
= 32 minutes
Therefore, it takes 32 minutes to cool from 180.3°F to 100.3°F.
To learn more about an equation visit:
https://brainly.com/question/1529522.
#SPJ2
The points (4,16) and (−4,−16) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of a?
Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values
any more help just ask :)
please help, the word cut off is slope: 3
Answer:
1. y=3x-2
2. y=-1/4x+5
These equations are in slope-intercept form (y=mx+b). IN this equation m represents the slope and b represents the y intercept. Therefore, y=3x-2 and y=-1/4x+5 are correct
Step-by-step explanation:
(Pls help ASAP) brainliest
Answer:
#1
x=8.oo+2.00+4.00
?
I need the answer in it’s simplest form
3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The students in Ms. Douglas’ class worked so hard this year that she has planned a surprise, end-of -year trip for them to a local amusement park. The school principal allows Ms. Douglas to spend a budget of $500 on the trip.
So far she knows : A coach bus costs $180 to transport them to and from the park Price of admission to the park is $15 per person
Part A : Write an inequality that describes that how many students Ms. Douglas can bring on the trip. Define the variable
Part B: Solve the inequality and explain the solution in the context o the problem
Answer:
A) 180+15x=500
B) 21 people.
Step-by-step explanation:
$180
so 500-180 is 320.
320/15 is 21 1/3
So, Ms. Douglas can take 20 students and herself :)
Part A:
180+15x=500
180-180+15x=500
15x=320
x=21 1/3, so Ms. Douglas can afford to take 21 people,, but one of them is herself.
Hope this helps pls hit the crown :D
Answer:
A. 500 = 180 + 15x
So Ms.Douglas has a budget of $500 and she is going to spend $180 going to and from school on a bus. 180 is your constant. It is $15 per person to enter the gate of the amusement park and 15 is your variable.
So 500 = 180 +15x
Step-by-step explanation:
B. 500 = 180 + 15x
320 = 15x
x = 21.333333
but since we are talking about people here Ms.Douglas can only take 21 people
I hope this helps