Step-by-step explanation:
yfttuo yfttuo p9ntknknt8oy9uy
Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.
Answer:
[tex]=\frac{2a^4}{3bd}[/tex]
Step-by-step explanation:
Given expression is,
[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]
Further simplify the expression by converting the negative exponents into positive.
[tex]b_1=\frac{1}{b}[/tex]
[tex]a^{-3}=\frac{1}{a^3}[/tex]
By substituting these terms in the given expression,
[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]
[tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]
[tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]
[tex]=\frac{2a^4}{3bd}[/tex]
Find x and y
у
60°
16
Answer:
thats hard dude why are you doing it
Step-by-step explanation:
Answer:
y=8
Step-by-step explanation:
solve |x+6| - 7 = 8
plzzzzzz
Answer:
X=9
Step-by-step explanation:
9+6=15
15-7=8
Absolute value equals a positive
what is the equation of the line that passes through the point 3,-1 and has a slope of 2
Answer:
y=2x-7
Step-by-step explanation:
so here's my work
I just plugged stuff in so:
y+1=2(x-3)
y+1=2x-6
y=2x-7
A runner’s resultant velocity is 8 miles per hour due west running with a wind of 3 miles per hour N 28° W. What is the runner’s speed, to the nearest mile per hour, without the effect of the wind.
Answer:
7.07 miles/hour W 22° S.
Step-by-step explanation:
Given that the resultant velocity of the runner, [tex]v_r = 8[/tex] miles/hour due west.
Wind speed, [tex]v_w= 3[/tex] miles/hour N 28° W.
Assuming that the absolute velocity of the runner, [tex]v_a= x[/tex] miles/ hour W \alpha S as shown in the figure.
By using vector addition, [tex]\vec{v_r} = \vec {v_w} + \vec {v_a}[/tex] .
Now, from the figure,
[tex]|\vec {v_r}|=|\vec {v_w} |\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow 8 = 3\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow |\vec {v_a}| \cos \alpha =8-3\sin{28°} \cdots(i)[/tex]
And [tex]AC= |\vec {v_w} |\cos{28°} = |\vec {v_a}| \sin \alpha \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| \sin \alpha= 3\cos{28°} \cdots(ii)[/tex]
Dividing equation (ii) by equation (i), we have
[tex]\frac {|\vec {v_a}| \sin \alpha}{|\vec {v_a}| \cos \alpha}=\frac {3\cos{28°}}{8-3\sin{28°}} \\\\\Rightarrow \tan \alpha = 0.402 \\\\\Rightarrow \alpha = \tan ^{-1} (0.402)=22^{\circ} \\\\[/tex]
Putting the value of \alpha in equation (ii), we have
[tex]|\vec {v_a}| \sin {22^{\circ}}= 3\cos{28^{\circ}} \\\\\Rightarrow |\vec {v_a}| =(3\cos{28^{\circ}})/\sin {22^{\circ}} \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| = 7.07[/tex] miles/hour
Hence, the runner speed, without the effect of the wind, is 7.07 miles/hour W 22° S.
two less than five times a number is equal to 6
Answer:
5/8
Explanation:
6 = 5x - 2
8 = 5x
5/8 = x
The unknown number two less than five times a number is equal to 6 will be 5 / 8.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that two less than five times a number is equal to 6 is the number. The unknown number will be calculated as below:-
Let the number be x now form an expression.
6 = 5x - 2
8 = 5x
5/8 = x
Therefore, the unknown number two less than five times a number is equal to 6 will be 5 / 8.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
On Dan’s eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan’s eReader are mysteries?
Answer:
8/15
Step-by-step explanation:
Of The fiction books is a key word telling us to multiply 2/3 x 4/5 because OF when using fractions means that you multiply. So to multiply you just multiply the numerators and denominators to get 2 x 4 = 8 and 3 x 5 = 15, which is 8/15.
Hope this helps!
Have a great day! :)
HELP ME PLEASE I NEED HELP
Answer:
50°
Step-by-step explanation:
50 + (3x + 14) + (7x - 4) = 180
50 + 3x + 14 + 7x - 4 = 180
60 + 10x = 180
10x = 180 - 60
10x = 120
x = 120/10
x = 12
So, Angle A is:
(3 * 12) + 14
36 + 14 = 50°
Answer:
a.) [tex]x=12[/tex]
b.) [tex]A=50[/tex]
Step-by-step explanation:
a.) Remember: the sum of all angles in a triangle will always be 180°.
Make an equation in which all given angles add up to 180:
∠1+∠2+∠3=180
[tex](3x+14)+(7x-4)+50=180[/tex]
Solve the equation for the value of x. Remove the parentheses:
[tex]3x+14+7x-4+50=180[/tex]
Combine like terms:
[tex](3x+7x)+(14-4+50)=180\\\\10x+60=180[/tex]
Subtract 60 from both sides:
[tex]10x+60-60=180-60\\\\10x=120[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{120}{10} \\\\x=12[/tex]
The value of x is 12.
b.) Insert the value of x into the given value of ∠A:
[tex]A=3x+14\\\\A=3(12)+14[/tex]
Simplify multiplication:
[tex]A=36+14[/tex]
Add:
[tex]A=50[/tex]
∠A is 50°.
:Done
Check Your Work:
To make sure the given values are true, solve for ∠B:
[tex]B=7(12)-4\\\\B=84-4\\\\B=80[/tex]
Now add all angle values to determine if they add up to 180°:
[tex]50+50+80=180\\\\100+80=180\\\\180=180[/tex]
Since 180 is equal to 180, the values are true.
Write the ratio 2/7 to 4 as a fraction in simplest form
Answer:
1/14
Step-by-step explanation:
2/7 to 4 means 2/7 to 4/1
2/7 * 1/4
= 2/28
You can simplify by dividing the numerator and denominator
which will give you 1/14
Hope this help :)
Plsss help me if you know????
Answer:
n/6 = 1/2
2n = 6
n = 3
Hope my answer is correct
Answer:
n = 3
Step-by-step explanation:
There's two ways, first cross multiplication:
n/6 = 1/2
Cross multiplication so 2 times n and 6 times 1
2n = 6
n = 3
Second way:
n/6 = 1/2
(n/6 = 1/2) times 6
n = 6/2
n = 3
Find the slope of the line that passes through the points (8,3) and (2,9)
What is the domain of this function?
(6, 15)
(10, 14)
(20, -11)
6, 10, 20. Domain is the x-coordinates of all values.
HELP IT'S DUE IN 18 MINUTES!
Answer:
Please check the explanation!
Step-by-step explanation:
As the discrimination expression is
[tex]b^2-4ac[/tex]
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Given the equation
[tex]mx^2+3x+1-m=0[/tex]
by comparing the quadratic equation
[tex]\:ax^2+bx+c=0[/tex]
[tex]mx^2+3x+1-m=0[/tex]
we can observe that
[tex]a=m[/tex]
[tex]b=3[/tex]
[tex]c=(1-m)[/tex]
substituting the values in discrimination to find the values of m
so
[tex]3^2-4m\left(1-m\right)=0[/tex]
[tex]9-4m+4m^2=0[/tex]
[tex]4m^2-4m+9=0[/tex]
[tex]\frac{-4m+4m^2}{4}=\frac{-9}{4}[/tex]
[tex]-m+m^2=-\frac{9}{4}[/tex]
[tex]\left(m-\frac{1}{2}\right)^2=-2[/tex]
as
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]m-\frac{1}{2}=\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{-1}\sqrt{2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{2}i[/tex] ∵ [tex]\sqrt{-1}=i[/tex]
[tex]m=\sqrt{2}i+\frac{1}{2}[/tex]
and also solving
[tex]m-\frac{1}{2}=-\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=-\sqrt{2}i[/tex]
[tex]m=-\sqrt{2}i+\frac{1}{2}[/tex]
As we know that
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Therefore, for the values of [tex]m=\sqrt{2}i+\frac{1}{2},\:m=-\sqrt{2}i+\frac{1}{2}[/tex], for which the equation [tex]mx^2+3x+1-m=0[/tex] will have no solution.
Alvin is taking a bus on a ski trip. The bus travel to 174 miles The bus travel to 174 miles In the first three hours of the trip. If the ski resort is 696 miles from his home which proportion could Alvin use to predict how many hours the bus trips up to the ski resort
Answer: 12 hours
Step-by-step explanation:
We can use direct proportion to solve this, we need to calculate the constant of proportionality first. This will be:
y = kx
where y = 174
x = 3
k = 174/3
k = 58 miles per hour
If the ski resort is 696 miles from his home, the number of hours used will be:
= 696/58
= 12 hours
Brainliest, What is k ?
Answer:
k=1
Step-by-step explanation:
Since the coefficient of [tex]x^{3}[/tex] is 1, that is what you put for k
How many meters are equal to 3 kilometers? Use the pattern in the number of zeros of the product when munding by a power of 10 to to you
30 meters
300 meters
3000 meters
30.000 meters
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they
solved the day's challenge assignment. What is the probability that both students are girls?
3/20
I just finished it
yes so y did u need r help?????
Can someone help me with this Algebra question?
Answer:
y^6
Step-by-step explanation:
Answer:
the answer would be y^6
5x – 10 = 0 please answer!!!!
Answer:
add 10 which gives yoy 5x=10 divode by 5 that givdz u 2
Answer:
x = 2
Step-by-step explanation:
Are these ratios equivalent?
18 pedestrians : 9 days
14 pedestrians : 7 days
Answer:
yes
Step-by-step explanation:
they both equal to 2 pedestirans: 1 day
Answer: Yes.
Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.
The equation y = 6.85x could represent a variety of different situations .
Write a description of a situation that could be represented by this equation .
Answer:
For every x feet of rope purchased, the total cost(y) increases by $6.85.
Step-by-step explanation:
BRAINLIEST!
Which of the following math statements contain variable(s)? Check all that apply.
A. 13 - x = 9
B. 1 + 6 = 7
C. 15 - 5 = ___
D. ? + 7 = 12
Answer:
15
Step-by-step explanation:
2
Joe's office recycled a total of 9 kilograms of paper over 3 weeks. How many weeks will it take Joe's office to
recycle a total of 24 kilograms of paper?
0/1
i.e "None of the other answers make sense." <----- This is NOT a good explanation.
Answer:
You are correct, this is not a good explanation
Step-by-step explanation:
WILL GIVE BRAINLIEST While playing a board game, Sam had to move back 6 spaces 9 times. What integer represents Sam's movement on the board for those 9 turns?
It is either 6•9 to find the spaces or 54 spaces.
Simplify the following expression: c + c
Answer:
it can be simplify by c²
Answer:
2c
Step-by-step explanation:
WHATS THE SURFACE AREA? Need help ASAP!! This is urgent! Tysm will mark brainliest
What is the circumstance of a circle with a diameter of 6 feet? Use 3.14 for n.
Answer:
C. 28.26
May I have brainliest please? :)
each problem.
In a survey, out of 12,200 college freshman.
7.540 lived on a campus. At another college
if there were only 3.500 freshman, how
many would live on campus?
Answer:
11.040
Step-by-step explanation:
To get this answer you would add 7.740 please 3.500 and get 11.040
3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work
Answer:
X = -1
Step-by-step explanation:
3(x - 4) + 6 = 5(x - 1) + 1 -distribute
3x - 12 + 6 = 5x - 5 + 1 -combine like terms
3x - 6 = 5x - 4 -subtract 3x
-6 = 2x - 4 -add 4
-2 = 2x -divide by 2
-1 = x
Hope this helps. Pls give brainliest.
Answer:
x= -1
Step-by-step explanation:
open brackets and calculate
3x - 12 + 6 = 5x -5 + 1
Calculate
3x - 6 = 5x - 4
transpose
3x - 5x = - 4 + 6
Calculate
- 2x = 2
x= 2/-2
x= -1