Answer:
x = ± 2/3
Step-by-step explanation:
9x^2 = 4
Divide each side by 9
9/9x^2 = 4/9
x^2 = 4/9
Take the square root of each side
x = ±sqrt(4/9)
x = ± 2/3
9x^2=4
/9 /9
x^2=4/9
sqrt both sides
x=+/-[tex]\sqrt{4/9}[/tex]
x=+/-([tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex])
x=+/-2/3
Answer:
x=2/3, x=-2/3
Which of the following values are solutions to the inequality 1+5x<4?
I.6
II.5
III.2
Answer:
x < .6
Step-by-step explanation:
1+5x<4
Subtract 1 from each side
1-1+5x<4-1
5x<3
Divide each side by 5
5x/5 <3/5
x < .6
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answer:
the price will be the same for either amusement park
Step-by-step explanation:
10+1(x)=?
5+2(x)=?
ex; x=5
10+1(5)= 5+2(5)=
10+5= 5+10=
15 15
Answer:
5 rides, cost of $15
Step-by-step explanation:
With the information given we have two expressions:
10 + 1x and 5 + 2x
Using these expressions we can create this equation:
10 + 1x = 5 + 2x
Knowing some information we can can simply analyze some information:
The closest number each of these equations could equal is 15,
1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15
15 = 15 this is a true statement, so we know this is answer
Hope this helps! Have a good day!
What is the value of x in the equation 8 + 4 = 2(x - 1)?
a
13/2
b
5
c
7
d
11/2
Answer:
Step-by-step explanation:
The area of a garden is (x² + 7x + 10)
square yards. Find the dimensions of the
garden if x= 14.
Answer:
The dimensions are approximentaly 17.44.
Step-by-step explanation:
= x2 + 7x + 10
= 196 + 7x + 10
= 196 + 98 + 10
= 294 + 10
= 304 yards squared
The dimensions of the garden if x= 14 will be approximately 17.44.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^{2}[/tex]
The area of a garden= (x² + 7x + 10)
= 196 + 7(14) + 10
= 196 + 98 + 10
= 294 + 10
The area of a garden= 304 yards squared
The area of a garden = side × side
√ 304 = side
side = 17.44 yards
Thus, the dimensions of the garden if x= 14 will be 17.44 yards.
Learn more about the area;
https://brainly.com/question/11952845
HELP - WILL MAKE BRAINLIEST IF CORRECT - a chunk of lava flies out of a volcano from a height of 12,447 feet a velocity of 608 feet per second. Find the highest point the lava reaches and how long it takes to reach it using the equation y= -16t^2 + 608t + 12,447.
Answer:
18,223 feet
Step-by-step explanation:
y= -16t^2 + 608t + 12,447.
y = -16(t² - 38t) + 12447
y = -16[t² - 2(t)(19) + 19² - 19²] + 12447
y = -16(t - 19)² - 16(-19²) + 12447
y = -16(t - 19)² + 18223
Vertex: (19, 18223)
Max height is 18,223 at t = 19
The parabolas are:
a = -16
b = 608
c = 12,447
x_v = -b/2a
t_v = -608/2(-16)
t_v = -608/-32
t_v = 19
Plug in t_v = 19 to find y_v
y = -16(19)^2 + 608(19) + 12,447
y = -16(361) + 11,552 + 12,477
y = -5,776 + 11,552 + 12,477
y = 18,253
We have the point (19, 18,253)
The max height is at 18,253 when t = 19
Best of Luck!
4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 22 years, to the nearest cent?
Answer:20000000
Step-by-step explanation:
solve the equation 18=n-18
n=_____
Answer:
36
Step-by-step explanation:
Please help me now I will mark you brainliest
Answer:
Out side the circle
Step-by-step explanation:
This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.
Georgianna wants to use the linear model associated with the data in the table to make a prediction.
A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?
0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes
Answer:
0 to 30 minutes on edg.
Step-by-step explanation:
Answer:
c on e 2020
Step-by-step explanation:
Which figure is not drawn to the scale. PQ and MN are straight lines. Find
What is the slope of the line ?
Answer:
-3
Step-by-step explanation:
Liz flips a coin 60 times. The coin lands heads up 18 times and tails up 42 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
(Type an integer or a decimal.)
Answer:
30%
Step-by-step explanation:
18/60 = .3 × 100% = 30%
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Answer Choices:
A) an = 9 • 4n
B) an = 9 • (-4)n + 1
C) an = 9 • 4n - 1
D) an = 9 • (-4)n - 1
mean median and mode of 14, 10, 12, 15, and 13
Answer:
mean= 12.8
median=13
mode=there is no mode
Step-by-step explanation:
mean/average=14+10+12+15+ 13=64/5=12.8
median=10,12,13,14,15=13
mode= is the number that repeats more often. = there is no mode
A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?
Answer:
The odometer showed 6,015.2 miles at the beginning of the trip.
Step-by-step explanation:
The odometer increases according to the number of miles traveled.
Before the trip, it showed x miles.
During the trip, the car was driven 422.3 miles.
After the trip, it showed 6,437.5 miles.
So
x + 422.3 = 6437.5
x = 6437.5 - 422.3
x = 6,015.2
The odometer showed 6,015.2 miles at the beginning of the trip.
what is the answer for this question below
7 (4u – 2v + w)
Answer:
28u-14v+7w
Step-by-step explanation:
Answer: 28u−14v+7w
Step-by-step explanation:
Hope that helps
What is the slope of the equation y = 3.5x – 17?
Answer:
3.5
Step-by-step explanation:
y = 3.5x – 17
This is in the slope intercept form
y= mx+b where m is the slope and b is the y intercept
The slope is 3.5
In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100
Answer:
The probability is 9/100
Step-by-step explanation:
First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students
The number of students without brown eyes is thus 20 -14 = 6 students
Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10
Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.
In probability, once we have the work and, we multiply.
So our answer here is 3/10 * 3/10 = 9/100
Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 11t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Answer:
The boys would have traveled two hours to be at the same point on the trail
Step-by-step explanation:
At the same point on the trail, the two boys would have traveled the same distance.
What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel
Thus, we equate the equation of thur distances.
That would be;
14t = 11t + 6
14t -11t = 6
3t = 6
t = 2 hours
Answer:
2
Step-by-step explanation:
if you toss a cube with the numbers 1-6 on it, what is the probability of rolling 7?
Answer:
0
Step-by-step explanation:
There is no 7
Answer:
0 percent probability
Since the dice only has six numbers it will never roll a 7
If nine coins are flipped, what is the probability of obtaining at least one head?
Answer:
the chance of getting at least 1 head is 99.8%.
Step-by-step explanation:
Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.
I need help with these plzzz
Answer:
1. C 2. B
Step-by-step explanation:
1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section
2. The actual value of x is 33.2
So I plugged in that value for all of them
Find the surface area of the prism. Write your answer as a fraction or mixed number.
Answer:
The surface area of the prism is 8/3ft²
Step-by-step explanation:
To calculate the surface area of the prism we have to use the following formula:
a = area
w = side = 2/3 ft
h = height = 2/3 ft
l = length = 2/3 ft
a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)
we replace the values that we know
v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)
v = 2 * 4/9ft² + 2 * 4/9ft² + 2 * 4/9ft²
v = 8/9ft² + 8/9ft² + 8/9ft²
v = 24/9ft²
v = 8/3ft²
The surface area of the prism is 8/3ft²
Answer:
2⅔ ft²
Step-by-step explanation:
A cube has 6 square faces
6 × (⅔)²
6 × 4/9
8/3
2⅔
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
Answer:
Step-by-step explanation:
The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.
The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.
Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.
Answer:
the answer is b
Step-by-step explanation:
Can someone tell me if I’m right? I put the 80 under 8
And the rule is 3, if I’m wrong please help me
Answer:
80
4
Step-by-step explanation:
You are correct in placing 80 in the box in the table. If you examine the table and the pattern, you'll see that as the number of marbles increases by 10, the weight of the bags increases by 40.
We can determine the rule by dividing 40 by 10: 40 ÷ 10 = 4.
So, the rule is actually to divide the weight of the bag by 4 to find the number of marbles.
Note that this is likely because each marble is 4 grams.
Answer:
No, the answer is to divide by 4
Step-by-step explanation:
You're so close, but if you look closely 320/3=106.67. However, 320/4=80. And if you look at the other choices, it applies to all of them. 40/4=10 , 80/4=20 , 120/4=30 , and 160/4=40.
Hope this help!!!
Ben I love kids then with a speed of 51 miles per hour Melanie also left at the same time in the opposite direction at a speed of 42 my husband our find how many hours mowing must travel to of course they are 360 miles apart
Answer:
Time when Ben and Melanie are 360 miles apart = 3.871 hours.
Step-by-step explanation:
The question seems unclear, but the sense that could be made from this question is that
Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.
Let the required time be t.
Let the distance covered by Ben in t hours be x miles.
Let the distance covered by Melanie in t hours be y miles.
Total distance covered = x + y = 360 (eqn 1)
speed = (distance/time)
For Ben
51 = (x/t)
x = (51t) miles
For Melanie
42 = (y/t)
y = (42t) miles
Substituting for x and y in eqn 1
x + y = 360
51t + 42t = 360
93t = 360
t = (360/93) = 3.871 hours.
Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles
Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles
Hope this Helps!!!!
Find the value of e/a. Just read the variables and numbers.
(50 points)
Answer:
35
Step-by-step explanation:
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
Answer:yes?
Step-by-step explanation:
it has #s in it lol
Answer:
no it isnt
Step-by-step explanation:
solve each equation. Round your answers to the nearest ten-thousandth. Please show your work. Part 4A
Answer:
22.
log3(4) + log3(5x^2 + 1) = 2
<=> log3(4 x (5x^2 + 1)) = log3(9)
<=> 20x^2 + 4 = 9
<=> 20x^2 = 5
<=> x^2 = 1/4
<=> x = +/- (1/2)
23.
log8(4x^2 + 1) - log8(2) = log8(5)
<=> log8((4x^2 + 1)/2) = log8(5)
<=> 2x^2 + 1/2 = 5
<=> 2x^2 = 9/2
<=> x^2 = 9/4
<=> x = +- (3/2)
24.
log8(4x^2 - 9) - log8(5) = 1
<=> log8((4x^2 - 9)/5) = log8(8)
<=> (4x^2 - 9)/5 = 8
<=> 4x^2 - 9 = 40
<=> 4x^2 = 49
<=> x^2 = 49/4
<=> x = +/- (7/2)
Hope this helps!
:)
The leaning Tower of Pisa was completed in 1372 and makes 86 degree angle with the ground. The tower is 50 meters tall, measured vertically from the ground to the highest point. If you were to climb to the top then accidentally drop your keys, where would you start looking for them?
How far from the base of the tower would they land?
I made having no luck in figuring this out.
Answer:
The distance where the keys would drop from the base is 3.5m
Step-by-step explanation:
Height of the tower = 50m
Angle it makes to the ground = 86°
To solve this question, you have to understand that the tower isn't vertically upright and the height of the tower is different from the distance from the top of the tower to the ground.
The tower makes an angle 86° to the ground and that makes it not vertically straight because a vertically straight building is at 90° to the ground.
See attached document for better illustration.
The distance from where the keys drop to the base of the tower can be calculated using SOHCAHTOA
We have to use cosθ = adjacent / hypothenus
θ = 86°
Adjacent = ? = x
Hypothenus = 50m
Cos θ = x / hyp
Cos 86 = x / 50
X = 50 × cos 86
X = 50 × 0.06976
X = 3.488 = 3.5m
The distance where the keys would drop from the base of the tower is approximately 3.5m
