Answers
Answer:
( -1/2) ^5
Step-by-step explanation:
We know that a^b* a^c = a^(b+c)
( -1/2) ^ 3 * ( -1/2) ^2
( -1/2) ^ (3+2)
( -1/2) ^5
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\
=>{( \frac{ - 1}{2}) }^{(3+2)}\\
=>{( \frac{ - 1}{2}) }^{5}\\
=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\
=> \frac{ - 1}{32} [/tex]
[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]
[tex]{a}^{x}×{a}^{y}={a}^{x+y}[/tex]Related Questions
PLEASE HELP
The two angles formed as a result of a bisector will always be____?
A. complementary
B. supplementary
C. Right
D. congruent
Answers
Answer:
D. Congruent
Step-by-step explanation:
Hope this helps!!
Solve: sin (x + StartFraction pi Over 2 EndFraction) = one-half for left-bracket StartFraction 3 pi Over 2 EndFraction, 2 pi right-bracket
Answers
The solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
We can solve this equation using the following steps:
Subtract pi/2 from both sides to get sin(x) = 1/2.
Recall that the sine function is positive in the first and second quadrants.
Therefore, we need to find the angles in these quadrants where sin(x) = 1/2.
The two angles in the first quadrant where sin(x) = 1/2 are pi/6 and 5pi/6. The two angles in the second quadrant where sin(x) = 1/2 are 7pi/6 and 11pi/6.
Adding pi/2 to each of these angles gives the solutions to the original equation. These solutions are:
x = pi/6 + pi/2 = 2pi/3
x = 5pi/6 + pi/2 = 7pi/6
x = 7pi/6 + pi/2 = 5pi/3
x = 11pi/6 + pi/2 = 4pi/3
We now need to check which of these solutions lie in the interval [3pi/2, 2pi]. We find that the solutions in this interval are:
x = 5pi/3
x = 4pi/3
Therefore, the solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.
To learn more about trigonometry from the given link:
https://brainly.com/question/29002217
#SPJ1
If AC = 206, find the value of Then find AB and BC
Answers
Answer:
B is the midpoint. AB+BC=AC
Since B is the midpoint, lets take AB and BC to be x.
x+x = 206
2x = 206
x = 103
Therefore the value AB and BC is 103.
What is the Product of 2.18 and 3.4??
Show your work
and no links
Answers
Solution is the pic
Select the correct answer.
jenny is drafting a paper on her computer. she leaves a right margin that is one-fifth the width of the page for later editing marks. on the
computer, each inch is equivalent to the length of 120 pixels. what is the area of the drafting section on the screen?
Answers
The area of the drafting section on the screen after Jenny left a right margin for editing marks is 1,077,120 pixels.
What is the area of the drafting section?The first step is to determine the dimensions of the drafting section:
Length = 11 inches
Width = (1 - 1/5) x 8.5 = 6.8 inches
The second step is to convert the dimensions to pixels:
Length = 11 inches x 120 = 1320
Width = 6,8 inches x 120 = 816
Area = 1320 x 816 = 1,077,120 pixels
Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
Answer:
1,077,120 pixels
Step-by-step explanation:
I got a 100% on the test
In the parallelogram find the values of x and y
Answers
x+4=12 (parallel)
x= 12-4=8
PLEASE HELP ILL GIVE BRAINLIEST AND THANKS
SOLVE THE SIMULTANEOUS EQUATION
3y=6x+3 and 3y=4x+6
Answers
Answer:
x=3/2
y=4
Step-by-step explanation:
3y=6x+3
3y=4x+6
we see that 3y=3y so even the right side of the equations are equal.
6x+3=4x+6
6x-4x=6-3
2x=3
x=3/2
so easily we find y
we found that x=3/2 so
3y=6*(3/2)+3=9+3=12
y=12/3=4
so the solution of simultaneous equation is
x=3/2
y=4
WHAT IS THE AREA OF THE TRIANGLE???
Answers
Answer:
56 m^2 is your answer
first solve the triangles
1/2 * base * height= 1/2*4*5= 10
there are 4 triangles so multiply 10 by 4 you get 40
then solve the square = s multiply by s= 4*4= 16
add 40 and 16 you get 56
please mark brainliest
Check my answers!!!!
Answers
Answer:you got all of them right good job
Step-by-step explanation:
Answer:
You did a good job
Step-by-step explanation:
keep it up
how do u simplify 24+2x=3x+2(3•4)
Answers
Answer:
distribute the 2 to the 3 and 4 so you get 6+8 which is 14
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
Answer:
10=x
Step-by-step explanation:
24+2x=3x+14
-14
10+2x=3x
-2x
10=x
Draw two examples of different right triangles that can buy on the line of a slope of 2/5
Answers
Answer:i need more
Step-by-step explanation:
Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumed in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to the total number of students in the class still the same?
Answers
Answer:
yes the ratio is the same
Step-by-step explanation:
12/8 = 3/2 (divided the top and bottom by 4)
6/4 = 3/2 (divided the top and bottom by 2)
yes the ratio is the same
Answer:
To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.
Step-by-step explanation:
Which values are solutions to the inequality below? Check all that apply.
x2 < 10
A. 4
B. 3
C. -2
D. -4
Answers
Answer:
positive 4 is the correct answer
is -3(-2)+3 less, greater or equal to 3(-4)+9?
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to solve them to make it easier to compare them.
So...
[tex]-3(-2)+3=9\\3(-4)+9=-3[/tex]
Now we now that the first one is 9 and the second one is -3. So obviously the positive number has to be greater than the negative number, so....
[tex]9>-3[/tex]
Answer:
-3(-2)+3 is greater than 3(-4)+9.
Step-by-step explanation:
First, we have to solve.
1) -3(-2)+3 Solve left to right. -3(-2)=6
6+3 Add. 6+3=9
9
2) 3(-4)+9 Solve left to right. 3(-4)=-12
-12+9 Add. -12+9=-3
-3
9 is greater than 3. So, -3(-2)+3 is greater than 3(-4)+9.
Hope this helped!! Have a great day :D
Quadrilateral A'B'C'D'is a reflection of quadrilateral ABCD over the x-axis.
What is the length of AD?
4
6
3
B
A
A
В"
Answers
Have an amazing day!
Point W(-4, 7) was translated as follows: W(-4, 7) – W'(-2, 4). A student wrote the algebraic rule to describe the
translation as (x,y) → (x-3.y+2). Evaluate the student's answer.
A. Incorrect; the student should add 2 to the x-coordinate and subtract 3 from the y-coordinate.
B. Incorrect; the student should add-4 +-2 to calculate the x-coordinate and add 7 + 4 to calculate
the y-coordinate.
C. Incorrect; the student should add 3 to the x-coordinate and subtract 2 from the y-coordinate.
D. The student's answer is correct.
Answers
Answer:
A
Step-by-step explanation:
W (- 4, 7 ) → W' (- 2, 4 )
- 4 → - 2 in the x- directions is a shift of + 2
7 → 4 in the y- direction is a shift of - 3
then translation rule should be
(x, y ) → (x + 2, y - 3 )
DONT ANSWER IF U DONT KNOW
Mason wants to borrow $6,700 from the bank to purchase a car. If he borrows the money at a rate of 5% interest for 4 years, what is the total amount he will have to pay back to the bank?
Your answer should be in whole dollars. Do not add cents. Example: $4 not $4.00
Answers
Answer:
$8040Step-by-step explanation:
It is assumed as simple interest.
The amount of interest is:
5%*4 = 20% of $6700, which is6700*20/100 = 1340The amount paid back is the sum of the loan and interest:
6700 + 1340 = 8040drug has a half-life of 4 hours. Assuming someone takes a dose of 512 mg, how much of the drug remains in the system after 36 hours?
0 1 mg
© 0.0000001 mg
O 0.5 mg
0 168 mg
Answers
Answer:
36 / 4 = 9 half-lives
2^9 = 512
Therefore after 36 hrs 512 / 512 = 1 mg remains
Answer:
1 mg
Step-by-step explanation:
let please help me please
Answers
Answer:
p = 170
Setting up the formula:
The mean is the sum of the digits divided by the total digits in the set.
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = \text{Mean}[/tex]
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = 39[/tex] [Mean = 39]
[tex]\rightarrow \dfrac{25 + p}{\text{Total digits}} = 39[/tex] [Sum of digits = 25 + p]
[tex]\rightarrow \dfrac{25 + p}{5} = 39[/tex] [Total digits = 5]
Step-by step calculations:
Use cross multiplication:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
Simplify the RHS:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
[tex]\rightarrow 25 + p= 195[/tex]
Subtract 25 both sides:
[tex]\rightarrow p = 195 - 25[/tex]
[tex]\rightarrow p = 170[/tex]
Which equation in standard form has a graph that passes through the point (-4,-3) and has a slope of 3/8?
Answers
Answer:
y = 3/8x - 1.5
Step-by-step explanation:
An ice machine uses 3 gallons of water every 9 hours
Answers
Answer: 8 gallons of water are being used per day.
Step-by-step explanation: If the question is how many gallons of water are used a day, then you can find this out using the following steps:
3 divided by 9 = 1/3.
1/3 times 24 = 8
8 gallons of water are being used per day.
Factor this expression
Answers
Answer:
6(6x^2-4x-3)
Step-by-step explanation:
pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3
Answer:
[tex]6 (6x^{2} - 4x - 3)[/tex]
Step-by-step explanation:
[tex]36x^{2} - 24x - 18[/tex]
[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]
[tex]= 6 (6x^{2} - 4x - 3)[/tex]
an elementary school has 320 students. all of the students are going on a field trip. if 40 students ca ride a bus, how many buses are needed
Answers
Answer:
They will need eight buses.
Step-by-step explanation:
320/40 = 8
Brandon's math certificate is 15 centimeters tall and 28 centimeters wide. Brandon wants to put the certificate in a fancy frame that costs $1.55 per centimeter. How much will it cost to frame Brandon's math certificate?
Answers
so the frame would cost $66.65.
billy has a bag of 4 red marbles, 3 blue marbles, and 3 white marbles. Billy picks and keeps a marble and then picks a second marble. What is the probability Billy will draw a white marble and then a red marble?
Answers
Answer:
1/10+1/10=2/10
Step-by-step explanation:
we first need to add all marbles and make a fraction of white and red marble
Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.
please help me i need to finish it today
Answers
Answer:
[tex]\frac{17}{30}[/tex]
Step-by-step explanation:
→ Substitute in the numbers
[tex]1\frac{2}{5} -\frac{5}{6}[/tex]
→ Simplify
[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]
I DON'T WANT LINKS; Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 20 + 80 + (-11)
B. 95 + 47 + 5
C. -40 + (-50) + 17
D. 1/4 + 3/4 + 2
Answers
Answer:
B because it’s just pluss what makes it easier
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axesTwo lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes
Answers
Answer:
Step-by-step explanation: Vertex:
(
3
,
−
1
)
Focus:
(
3
,
−
7
8
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
9
8
x
y
1
7
2
1
3
−
1
4
1
5
7
please help me on this-
Answers
your zeros would be whatever crosses the x-axis.
so..
#18 only has one zero at -2
#19 has three zeros at -4,0, and 5
Solve for c in the literal equation 9p + 7c = p. Represent any fractions in reduced proper or improper form only.
Answers
Answer:
-8/7p=c
Step-by-step explanation:
add 9p to both sides of the equation
then divide both sides by 7
tah dah