Answer:
2
Step-by-step explanation:
[(4^5/4•4^1/4)/4^1/2]^1/2
= [(4^(5/4) • 4^(1/4))/4^(1/2)]^1/2
= [(4^(3/2))/4^(1/2)]^1/2
= 4^(1/2)
= sqrt(4)
= 2
Answer:
2Step-by-step explanation:
[tex][(4^{5/4}*4^{1/4})/4^{1/2}]^{1/2}=[/tex][tex](4^{5/4+1/4-2/4})}^{1/2}=[/tex][tex](4^1)^{1/2}=[/tex][tex]2[/tex]Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.
Step-by-step explanation:
10y - 3(y + 2) > 2y + 4
10y - 3y - 6 > 2y + 4
(10 - 3 - 2)y > 4 + 6
5y > 10
y > 10/5
y > 2
[tex] \: [/tex]
Solution → y > 2
Interval Notation → [tex] \lang 2 , \infty\rang[/tex]
The solution in interval notation is: (2, ∞)
To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:
Step 1: Distribute the -3 on the left side of the inequality:
10y - 3y - 6 > 2y + 4
Step 2: Combine like terms:
(10y - 3y) - 6 > 2y + 4
7y - 6 > 2y + 4
Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:
7y - 2y - 6 > 2y - 2y + 4
5y - 6 > 4
Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:
5y - 6 + 6 > 4 + 6
5y > 10
Step 5: Finally, solve for y by dividing both sides by 5:
y > 10/5
y > 2
The solution to the inequality is y > 2. Now, let's write it in interval notation.
To know more about interval:
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Pleased help math experts urgent
Answer:
1. get closer to 0
2. symmetrical across y=-x
3. x cannot be equal to 0
4. decreasing if x<0, increasing if x>0
Step-by-step explanation:
yes
Please help me with this question. What formula would you use to find the missing lengths of the right triangles?
a2 + b2 = c2 can be use to find missing lengths of the right triangles
4e+ g2- Зе – 9 – g help
Answer: e + g2 - g - 9
Step-by-step explanation:
3x-1 over 5 = x+1 over 3
I need asap
Answer:
(3x-1)/5= (x+1)/3
3(3x-1)=5(x+1)
then solve which the final answer will give you x=8
Membership at the YMCA costs $15 per month plus $80 to sign-up. Blink costs $29 per month but is free
to sign-up. After how many months will the two gyms cost the same amount?
Let months be x
[tex]\\ \sf\longmapsto 80+15x=29x[/tex]
[tex]\\ \sf\longmapsto 29x-15x=80[/tex]
[tex]\\ \sf\longmapsto 14x=80[/tex]
[tex]\\ \sf\longmapsto x\approx 6months[/tex]
Answer:
43 months in ymca including the $80 sign up fee is equal to 25 months in blink
Step-by-step explanation:
$725 divided by $29 =25 months
$ 725 - $80 sign up = $645 .
Now we divide this by $15.
$645 divided by 15= 43 months
3 + 2 + (-8) -5 - 9 + 1 (-6) + 3 + 20
Answer:
0
Step-by-step explanation:
I need to know that answer please help if you can
Answer:
$180
Step-by-step explanation:
y = 30x +150
30(1) + 150
= 180
The lcm of 5^3 and 5^2 is?
Answer:
5³
Step-by-step explanation:
5³ is the answer since it's the greater between the two numbers
Answer:
125
Step-by-step explanation:
This is because 5^2 *5 is 125 and 5^3 * 1 = 125 and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2 = 5 and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number - The other workings would be to do a prim e factor tree of 125 = 5 25 5 and 5 = 5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125
Angle ABC And BCA a are complementary angle ABC is 85° if angle BCA is named as 3b -7 what could be the value of b?
*What is the correct value of b?
~50/100 = b/28
-b=14
-b=20
-b=10
*What is the value of n?
~25/100 = 7/n
-n=28
-n=24
-n=32
Answer:
-b = 14
-n = 28
Step-by-step explanation:
For b
50/100=b/28 cross-multiply
1400= 100b divide both sides by hundred
-b = 14
For n
25/100= 7/n cross multiply
25n = 700 divide both sides by 25
-n = 28
Third question please need help
Answer:
add 6 time 8 and get the answer like that.
Step-by-step explanation:
just keep adding that what you need to do ok.
solve the equation and justify each step using the algebraic properties of equality
Answer:
-5
Step-by-step explanation:
3x=-13-2
3x=-15
x=-5
This graph shows a system of equations what is the solution to the system of equations 1.(-2,2) 2.(2,2) 3.(2,-2) 4.(-2,-2)
Answer:
I honestly don't know that fashoo
state whether slope will be positive, negative, or zero.
(-2,3) (-1,-3)
Answer:
the Slope is 0 because the x value is going up as the y stays the same
Brainliest please
This diagram shows a pre image triangle ABC and its image triangle A'B'C.,after a series of transformations. Select from the drop down menu to correctly complete the transformations. NEED HELP ASAP!!!!
Answer:
First blank: translated
Second blank: Reflected across the x axis
Third blank: Rigid (if that's an answer choice)
Fourth blank: congruent
Step-by-step explanation:
Could anybody help me out with this?
I would really appreciate it! (Algebra Problem)
Answer:
44
Step-by-step explanation:
You substitute 9 for x and then work it out following the order of operations.
f(9) = | 1-5(9) |
= | 1-45 |
= | -44 |
= 44
Answer: 44
Step-by-step explanation:
Michael paid an entrance fee of $8 plus an additional $2.25 per game at the bowling alley. He spent $50.00. Write and solve an equation to determine how many games Michael played.
Answer:
4
Step-by-step explanation:
$8.00+$2.25 = $10.25
$50.00÷$10.25= 4.
The question is in the image! Please answer quickly.
Answer:
She thought the multiplication symbol was the addition symbol
actual answer: 1.39 x 10^12
Step-by-step explanation:
If it was addition, then she’d be correct;
6.75x10^6 + 0.2x10^6
= (6.75 + 0.2)x10^6
= 6.95x10^6
But really, it was a multiplication, meaning the answer really is;
(6.95x10^6)x(0.2x10^6)
= 1.39 x 10^12
(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.
The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:
Initial triangle
[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)
Final triangle
[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)
By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)
By (1), we simplify the expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)
If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:
[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)
Then, we reduce (3b) into an entirely algebraic expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)
Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].
Now we clear [tex]\Delta \theta[/tex] within the formula:
[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex] (5)
If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:
[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]
[tex]y_{2} \approx 0.545[/tex]
[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]
[tex]\Delta \theta = 0.095[/tex]
As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
Find the critical value zα/2 that corresponds to a 83% confidence level
The critical value zα/2 that corresponds to a 83% confidence level is 1.37.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that the confidence level (C) = 83% = 0.83
α = 1 - C = 0.17
α/2 = 0.17/2 = 0.085
The z score of α/2 corresponds with the z score of 0.415 (0.5 - 0.085) which is equal to 1.37
Find out more at: https://brainly.com/question/15016913
Log2(x-1)+Log2(x+2) =2
Find X
PLS HELP WITH ALGEBRA TWO
Answer:
Answers in Explanation
Step-by-step explanation:
8x^3 + 2x^2 - 20x - 5
(8x^3 + 2x^2) + (-20x - 5)
2x^2 (4x + 1) + (-5) (4x+1)
(2x^2 - 5) (4x + 1)
Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?
Answer:180
Step-by-step explanation:
I’m in 7th grade and don’t know this. Dndjdjdjdjsnnsndxj
Answer:
Step-by-step explanation:
Let's go:
Right: have an angle measuring 90°.
Equilateral: all 3 sides of triangle are same value.
Obtuse: have an angle measuring > 90°
Scalene: all 3 sides of triangle are different value.
In this case:
The Green one is Scalene and obtuse.
The red one is equilateral.
I hope I've helped you.
A school carnival sold 24 early-admission tickets and 72 regular tickets. What percentage of the tickets sold were early-admission tickets? Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
add both kinds of tickets first to get the total
24 early admission + 72 regular = 96 total tickets
then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent
[tex]\frac{24}{96} = 0.25 * 100 = 25[/tex]%
Craig has a job waiting tables where he earns $3.45 per hour plus tips. Craig earned $73.68 in tips during his shift yesterday.
If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A. y = 3.45x - 73.68
B. y = 73.68x + 3.45
C. y = 3.45x + 73.68
D. y = 73.68x - 3.45
Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?
Answer:
Salami: $3.00
Ham: $ 8.00
Step-by-step explanation:
12 * 1/4 = 12/4 = $3.00
12 * 2/3 = 24/3 = $8.00
pls help with this pls
Answer:
1.5 songs/minutes
Step-by-step explanation:
30÷20 = 1.5
Which of the following is not a solution of the equation below (3x(x-1)(x-2)=0
What is the options?