Answer:
24.01
Step-by-step explanation:
The question is incomplete the complete question is
Evaluate (4/9) to the power of 2.
We have given that,
(4/9)^2
Apply the product rule to 4/9.
What is the exponent rule?
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]=\frac{4^2}{9^2}[/tex]
[tex]4^2=16[/tex]
[tex]=\frac{16}{9^2}[/tex]
[tex]9^2=81[/tex]
[tex]=\frac{16}{81}[/tex]
Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].
To learn more about the exponent rule visit:
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(64/25)^-3/2 x (64)^1/3
Answer:
500/512 or about 0.977
Step-by-step explanation:
flip first fraction cause negative exponent: (25/64)^3/2*64^1/3
simplify: (125/512)*4
125*4=500 so 500/512
One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference of the first two angles, find the angles.
Answer:
[tex]16^\circ, 88^\circ, 76^\circ[/tex]
Step-by-step explanation:
Given a triangle.
One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.
Third angle is [tex]4^\circ[/tex] more than the difference of two angles.
To find:
The angles.
Solution:
Let the first angle = [tex]x^\circ[/tex]
As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]
And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]
Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].
[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]
Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]
The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]
The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]
Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].
Will mark brainliest
The office worker can stamp 25 letters per minute.
At that rate, how many letters can the worker stamp in 5 minutes?
5 letters
20 letters
100 letters
125 letters
Answer:
125 letters
Step-by-step explanation:
Hope this helps!
7 - 3x = -x + 1
Can anyone help
Answer:
Answer:
x=3
Step-by-step explanation:
7−3x=−x+1
Step 1: Simplify both sides of the equation.
7−3x=−x+1
7+−3x=−x+1
−3x+7=−x+1
Step 2: Add x to both sides.
−3x+7+x=−x+1+x
−2x+7=1
Step 3: Subtract 7 from both sides.
−2x+7−7=1−7
−2x=−6
Step 4: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Solve for n.
6 = 2n − 2
n =
What two patterns is in the table show
Answer:
X= 25, the second one is 22, the third one is 19
y=20, the second one is 17, the thirst one is 12
The terms in patten y is 5 less than the terms in pattern x
Step-by-step explanation:
The value of a car decreases by 20% per year Mr sing purchases a $22,000 automobile what is the value of that car at the end of the second year?
Select the correct answer.
Graph the following system of inequalities.
y>1/3x-2
y <-4x-2
Graph-X represents the given set of inequalities.
What is inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
Given two inequalities are:
1. y > (1/3)x - 2
If we compare it with the slope-intercept form of a line, then:
Slope = 1/3, y-intercept = - 2
Therefore, the line cuts the y-axis at x = - 2.
Here, the greater than sign indicates that the graph would be shaded down.
2. y < - 4x - 2
If we compare it with the slope-intercept form of a line, then:
Slope = - 4, y-intercept = - 2
Therefore, the line cuts the y-axis at x = - 2.
Here, the less than sign indicates that the graph would be shaded up.
Therefore, Graph-X represents the given set of inequalities.
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The image of polygon MNOP after a similarity transformation is polygon WXYZ Each side of MNOP is 2 times as long as the corresponding side of WXYZ. What is the scale factor of theletation in the similarly transformation
A. 4
B. 0.5
C. 2
D. 0.25
Answer:
4
Step-by-step explanation:
i need to know the scale factor of the first image in order to figure out the scale factor for the second one
Answer:
0.5
Step-by-step explanation:
PLATO
the sum of three numbers is 133. the third number is 4 times the second. the second number is 5 more than the first. 25 points+ brainliest
Answer:
I believe the answer is 6 times more.
Step-by-step explanation:
And I know ur gonna scam I'm just willing to help
-5(t + 3)= -30
Solve for the variable!! Please
Answer:
[tex]\huge\boxed{t=3}[/tex]
Step-by-step explanation:
[tex]-5(t+3)=-30[/tex]
METHOD 1:[tex]-5(t+3)=-30[/tex] divide both sides by (-5)
[tex]\dfrac{-5\!\!\!\!\diagup(t+3)}{-5\!\!\!\!\diagup}=\dfrac{-30}{-5}[/tex]
[tex]t+3=6[/tex] subtract 3 from both sides
[tex]t+3-3=6-3\\t=3[/tex]
METHOD 2:[tex]-5(t+3)=-30[/tex] use the distributive property a(b + c) = ab + ac
[tex](-5)(t)+(-5)(3)=-30[/tex]
[tex]-5t-15=-30[/tex] add 15 to both sides
[tex]-5t-15+15=-30+15[/tex]
[tex]-5t=-15[/tex] divide both sides by (-5)
[tex]\dfrac{-5t}{-5}=\dfrac{-15}{-5}\\\\t=3[/tex]
Alise separated her pictures into 3 piles. Each pile contained 9 pictures. How many pictures did she have in all? Write and solve an equation to represent the problem. State the answer to the problem.
Answer:
3x9=27
Step-by-step explanation:
There are 27 pictures in all
38. Which ordered pair is a solution to the
equation y = 2 - x?
a) (5,3)
b) (8,10)
c) (-1,1)
d) (-5,7)
Answer:
d
Step-by-step explanation:
y=2-x
because
7=2-(-5)
7=7
write an equation in point slope form of the line that passes through the point (3, -1) and has a slope of -2
Answer:
m= -2
X1=3 Y1= -1
Y-Y1=m(X-X1)
Y-(-1)= -2(X-3)
Y+1= -2X+6
Y=-2X+6-1
Y=2X=5
Which expression is undefined?
Answer:
B is undefined, the rest are equal to zero
Step-by-step explanation:
Mrs. Clearwater paid $38.64 to fill up 12 gallons of gasoline in her car. What is the price for 1 gallon of gasoline?
Answer: $3.22
Step-by-step explanation:
We will start by doing 38.64 divided by 12
Then we will get the answer 3.22.
$3.22 is the answer.
Sara can type 80 words in 4 minutes. About how many words would you expect her to type in 12 minutes at this rate?
Answer:
240
Step-by-step explanation: 80 words in 4 minutes = 160 words in 8 minutes, 160 +80 = 240
Answer:
she can type 240 words i think
4.3=12
80.3=240
3a + 2b = 9 and 8x + 6y = 60
the question is wrong as it should be either both A's and B's or X and y
Okay so I have no clue what to do on these problems lol. Can someone help explain it please? Thank you
Answer:
you use the Pythagorean theorem (a^2 +b^2 = c^2)
a^2 +17^2 = 19^2
a^2 + 289 = 361
a^2 = 72
a = (square root)72
5^2 + 13^2 = c^2
25 + 169 = c^2
194 = c^2
c= (square root)194
a^2 + 10^2 = 20^2
a^2 + 100 = 400
a^2 = 300
a = (square root) 300
5^2 + 14^2 = c^2
25 + 196 = c^2
221 = c^2
c= (square root) 221
Step-by-step explanation:
it says to leave it as it's simplest radical form, i can't put a square root on the screen, but put the number inside the radical and leave it like that.
I hope this helps :)
A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3
Answer:
9.85
Step-by-step explanation:
$68.95 Divided by seven friends = 9.85
You're Welcome :D
*
1. Place the following numbers in order from least to greatest.
-0.75 – 4/5, -16, -8%
Answer: The numbers in order from least to greatest is as follows:
-4/5
-0.75
-16
-8%
Hint: To better help you understand... -4/5 would be the least and -8% would be the greatest.
Identify as a ratio, rate or unit rate: 5 apps for $9.99
Name the remote interior angles for each exterior angle
How are exterior angles 6 and 8 related?
I WILL MARK THE BRAINIEST
Answer:
b. 2,3,&7
c. they are vertically opposite angles
hope this helps
Which type of triangle is this?
lydia wants to purchase guitar lessons she sees a sign that gives the price is 47 guitar lessons and 11 guitar lessons write a linear equation to find the total cost c for d lessons
Answer:
c = 58x
Step-by-step explanation:
A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.
Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.
Thus, the total cost, c, is
c = 58x
Simplify the expression.
Answer:
-2.5
Step-by-step explanation:
-0.25x-6-5.5x-8.4=0
-5.75x-14.4=0
-5.75x=14.4
x= -2.5
A sequence is defined by the term-to-term rule
Un+1 = u. + 3
Given that u, = 1,
a) find u,
b) find uz
c) find us
Answer:
see solution below
Step-by-step explanation:
Correct question
A sequence is defined by the term-to-term rule
Un+1 = u. + 3
Given that u1 = 1,
a) find u2
b) find u3
c) find u5
a) Given the recursive formula;
Un+1 = un + 3
When n = 1;
U1+1 = U1 + 3
U2 = U1 + 3
U2 = 1 + 3
U2 = 4
b) U3 = U2 + 3
U3 = 4 + 3
U3 =7
c) U4 = U3 + 3
U4 = 7+3
U4 = 10
U5 = U4 + 3
U5 = 10 + 3
U5 = 13
Note that the question was assumed. The same calculation can be employed for nay other term
Use the right triangle shown to answer the question.
26
32°
*not drawn to scale
What is the approximate value of x?
Answer:45
Step-by-step explanation:
Answer:13.8
Also Stop cheating
(a) Type an equation and (b) solve. Type the answers in the spaces provided. In the basketball championship game, the Falcons had three fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears? (Use b as the variable.) (a) (b) Bears:
Answer:
There were 7 players on the Bears
Step-by-step explanation:
Given
[tex]a = falcons[/tex]
[tex]b = bears[/tex]
We have that:
[tex]a = 11[/tex]
and also:
[tex]a = 2b - 3[/tex] --- 3 fewer than twice a
Required
Solve for b
Substitute 11 for a in [tex]a = 2b - 3[/tex]
[tex]11 = 2b - 3[/tex]
Add 3 to both sides
[tex]3+11 = 2b - 3+3[/tex]
[tex]3+11 = 2b[/tex]
[tex]14 = 2b[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2b}{2}[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Hence, there were 7 players on the Bears
please help me find the area
Answer/Explain:
Okay to find the area you need to do base x length so in this case 11ft x 6ft. So 11 x 6 = 66 and there is your answer! I hope this helped