[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
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!!!!!!!!!!!!!!!100100100100100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
2 2/5 - 1 1/3 + 3 1/2
Answer: 4 17/30
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2
(2 12/30 - 1 10/30) + 3 15/30
1 2/30 + 3 15/30 = 4 17/30
Have a nice day, and if you could be so nice as to give me a brainliest
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
Is that correct? I don’t think it is, can someone tell me the answer
It is right but what's the full question
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent?.
The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
We have to determine,
What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
The equation given is,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details about the Quadratic equation refer to the link given below.
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Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72
Answer:
Option B is the correct answer
Step-by-step explanation:
Complimentary angles mean sum of angles is [tex]90^{0}[/tex]
Let the smaller angle be [tex]x[/tex]
Other angle is [tex]90-x[/tex]
We have
Two complementary angles are in the ratio [tex]3: 2[/tex]
[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]
Smaller angle is [tex]36^0[/tex]
Option B is the correct answer
This is my last question I need help please
Answer:
.11
Step-by-step explanation:
it is correct
Answer:
A) $.11
Step-by-step explanation:
A dozen = 12
To find unit cost you divide cost of items by # of items
In this case we have 12 eggs that cost 1.35
So unit cost = 1.35 / 12 = .11
WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Took the quiz
someone please help me! the question is 18.
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
3⎜x + 4⎟ + 2 ≥ 5
plS
Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
Write the linear equation into Standard Form. 8+3x=-9y
Hello! :p
Original: 8+3x=-9y
standard form: 3x + 9y = -8
I hope this helps! Have a wonderful day! :)
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team.
How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
B. 10
Step-by-step explanation:
Look at the chart.
Find how many members are 50-60 inches tall. (6)
Find how many members are 61-70 inches tall. (4)
Add each member count up. (10)
please help asap!!!!!
Answer:
d is the question
Step-by-step explanation:
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.
Answer:
Step-by-step explanation:
R
The number of calories in 14 brownies is 233 calories.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
Hence, The number of calories in 14 brownies is 233 calories.
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You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
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. What is the second step in solving the following equation: 3(2x - 1) = 15, if the
Distributive property is used as the first step.
Please solve this problem please ASAP !
please help me I'm not good at math :(
the options are:
exactly one real solution
infinitely many solutions
no real solution
two real solutions
Answer: No real solution.
Step-by-step explanation:
Since the parabola never crosses the x-axis, there are no real solutions.
What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.
The approximate value of q in the equation is [tex]0.774[/tex]
The equation is given as:
[tex]q\log_2(6) = 2[/tex]
Divide both sides of the equation by [tex]\log_2(6)[/tex].
So, we have:
[tex]q= \frac{2}{\log_2(6) }[/tex]
Determine log(6) base 2
[tex]q= \frac{2}{2.585}[/tex]
Divide 2 by 2.585
[tex]q= 0.774[/tex]
Hence, the approximate value of q in the equation is [tex]0.774[/tex]
Read more about logarithmic equations at:
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Hey guys, i need help on this one, thanks in advance.
Find the slope of the equation:
x - 5 = 3 ( y + 4 ) -2y + 1
if you could add step's please do.
Answer:
slope = 1
Step-by-step explanation:
1) expand those brackets on the left side my multiplying
x - 5 = 3y + 12 - 2y + 1
2) simplify by collecting like terms
x - 5 = y + 13
3) bring -5 to the right side by adding 5
x = y + 18
4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides
y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)
y = x - 18
the slope is the gradient, which is 1
can someone help me with this
x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32
x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0
So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0
Ok done. Thank to me :>
what is the equation?
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn