Answer:
[tex]\frac{7}{12}[/tex] or 0.583
Answer:
The answer is
[tex] \frac{7}{12} [/tex]
Step-by-step explanation:
Using the rules of indices
[tex] {x}^{ - y} [/tex]
can be written as
[tex] \frac{1}{ {x}^{y} } [/tex]
So
[tex] {3}^{ - 1} [/tex]
can be written as
[tex] \frac{1}{3} [/tex]
and
[tex] {4}^{ - 1} [/tex]
as
[tex] \frac{1}{4} [/tex]
Add them
That's
[tex] \frac{1}{3} + \frac{1}{4} [/tex]
Find the LCM
The LCM of 3 and 4 is 12
We have the final answer as
[tex] \frac{1}{3} + \frac{1}{4} = \frac{4 + 3}{12} \\ = \frac{7}{12} [/tex]
Hope this helps you.
Determine if the coordinate (6, 8) lies on the circle x^2 + y^2 = 100.
Answer:
x² + y² = 100
6² + 8² = 100
36 + 64 = 100
100 = 100
Because this is a true statement, the answer is yes, it does lie on the circle.
6x-1=-2+9 anyone know the steps for this???
Answer:
x = 1 1/4
Step-by-step explanation:
6x - 1 = -2x + 9
Move the x to one side and the numbers to the other side:
8x = 10
Simplify:
x = 10/8 = 5/4 = 1 1/4
Let f(x)= (2/3)^x
Complete each statement.
A. The domain of f(x) is____.
B. The range of f(x) is_____.
C. The y-intercept of the graph of f(x) is______.
D. The horizontal asymptote of the graph of f(x) is the ( x-axis / y-axis ). (Circle one.)
E. The graph of f(x) is ( increasing / decreasing ) from left to right. (Circle one.)
F. The value of the ( base / coefficient / exponent ) determines whether the graph of an exponential
function is increasing or decreasing from left to right. (Circle one.)
Answer:
A. All real number
B. Positive Real numbers
C. y intercept is 1
D. x axis
E. Decreasing
F. Base
Step-by-step explanation:
Given:
[tex]f(x) = (\frac{2}{3})^x[/tex]
A.
Domain of a function f(x) is the value of 'x' for which it has a defined value.
Here, f(x) can have any real number to be given to x.
So, domain is all real numbers.
B.
Range of a function f(x) is the value of f(x) when we give some value of x as input.
Here, we can not have negative value of f(x) because x is in the exponent.
So, the range is Positive Real numbers.
C.
y intercept of any function f(x) is the value of f(0).
[tex]f(0)=(\frac{2}{3})^0 = 1[/tex]
So, y intercept is 1.
D. Horizontal asymptote is the the line where value of [tex]x \rightarrow \infty[/tex]
x axis is the answer.
E. The graph is decreasing with increasing value of x(from left to right).
Because the base is less than 1.
F. The value of base determines whether the graph will be decreasing or increasing.
If base > 1, the graph will be increasing will increasing value of exponent (x).
Here the base is less than 1 so decreasing graph.
Please refer to the attached graph for better understanding of the given function.
Solve (x-5)^2 =3.
Help me pls
Answer:
The correct answer is C.
Step-by-step explanation:
I solved by finding for X. Hope this helps!
Answer:
option c is correct.
hope it will help u...
You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of 3% or the interest on $100,000 invested for 2 years at an interest rate of 3% compounded quarterly
Which investment as the greater amount of interest? Give the difference between the amounts of interest earned by the two investments
the investment with simple? or compound?
interest earns $___ more in interest.
(Round to the nearest cant as needed.)
Answer:
Step-by-step explanation:
the simple interest formula= principal* interest rate*time
simple interest : 100000*%2*2 years
simple interest= 4000 dollars
compound quarterly : A=principal(1+r/4)^t
since it is quarterly and have 4 quarters in a year, and 8 in two years.
compound quarterly: 100000(1+0.03/4)^8=106159.88
it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.
the difference between the interest: 6159.88-4000=2159.88
what is the domain represented by the graph
Answer:
All real numbers.
Step-by-step explanation:
Since the graph is a linear function, and the line doesn't have any holes or asymptotes, the graph can input any x-value and output any y-value. Therefore, our domain is all real numbers (any x-value can work).
Answer: All real numbers
Step-by-step explanation:
It is a infinite line, therefore all x values and all y values can be put in and will read a value :)
What is the equation of a horizontal line that passes
through the point (-4, -5)?
Answer: y=-5
Step-by-step explanation:
A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.
please help ASAP: Factorise the following:
Answer:
hope u will understand it....
Answer:
Hello!
___________________
A)Factor x^2 - 12x + 32 using the AC method. ( x - 8 ) ( x - 4)
B) Factor x^2 - 14x + 48 using the AC method. ( x - 8) ( x - 6)
C) Factor x^2 - 3x + 2 using the AC method. ( x - 2) ( x - 1)
Step-by-step explanation: Always factor by x^2 while using the AC method.
Hope this helped you! :D
The equations of four lines are given. Identfy which lines are parallel. Line 1: y = -9x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/9)(x + 4)
Answer:
line 2 and line 3
Step-by-step explanation:
line1=y=-9x+6. gradient 1= -9
line2=x+⅓y=-6
⅓y=-6-x. gradient2= -3
y=-18-3x
line3=y=-3x-8. gradient3= -3
line4=y+7=-1/9x-4/9
y=-1/9x-4/9-7. gradient4= -1/9
y=-1/9x-7⁴/9
parallel lines have the same gradient
Right trapezoid WXYZ is shown. Right trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. Angle W is 73 degrees and angles Y and Z are right angles. What is the measure of angle WXY? 73° 90° 107° 163°
Answer:
∠WXY = 107°
Step-by-step explanation:
In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.
Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.
I hope this helps :))
The measure of angle WXY is,
= 107°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Sides XY and WZ are parallel.
And, Angle W is 73 degrees and angles Y and Z are right angles.
Now, In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°.
Here, ∠W and ∠WXY are adjacent, so they are supplementary.
Hence, We get;
The measure of angle WXY is,
= 180° - 73°
= 107°.
Thus, The measure of angle WXY is,
= 107°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7
Eight more than four times a certain number is
equal to 12 less than eight times the number. What
is the number?
Answer: 5
Step-by-step explanation:
4x+8=8x-12
20=4x
5=x
Answer:
5.
Step-by-step explanation:
Let's say that the mysterious number is x.
8 more than 4 times x equals 12 less than 8 times x.
8 + 4x = 8x - 12
8x - 12 = 4x + 8
8x - 4x = 8 + 12
4x = 20
x = 5
Hope this helps!
Please answer this - i'm so desperate!
Kyree had a summer job cutting lawns. He made $32 in June, $45 in July, and $43 in August. In September he spent $17 on school supplies and $26 on clothes. How much money does he have left?
Answer:
77
Step-by-step explanation:
you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer
Answer:
See below.
Step-by-step explanation:
June: $32
July: $45
August: $43
[tex]32+45+43=120[/tex]
Kyree has $120 in total.
School supplies: $17
Clothes: $26
[tex]26 +17=43[/tex]
[tex]120-43=77[/tex]
Kyree has $77 left.
:)
what is the rate of change between (1,15) (3,45)?
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
Ronnie can paint 8 rocks in 5 minutes. How long will it take him to paint 54 rocks
Answer:
33 minutes and 45 seconds.
Step-by-step explanation:
We can easily set up a proportion...
He can paint 8 rocks in 5 minutes. He can paint 54 rocks in x minutes.
[tex]\frac{8}{5} =\frac{54}{x}[/tex]
8 * x = 54 * 5
8x = 270
4x = 135
x = 33.75
So, it will take Ronnie 33 minutes and 45 seconds to paint 54 rocks.
Hope this helps!
T_T I need big help
Answer:
D. The volume is the product of the area of the base, (2x - 1)(x - 3), and the height x + 4.
Step-by-step explanation:
Volume of a Rectangular Block: V = lwh
Since we are given variables l, w, and h, we simply plug them in:
V = (2x - 1)(x -3)(x + 4)
We can see that we would need to multiply all 3 to find our volume. Therefore, our answer is D.
I need help with this:What is the value of y? Enter your answer in the box. y =
Answer:
y=5 degrees
Step-by-step explanation:
It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.
4y+10=30
4y=20
y=5 degrees
solve the following: x+5=11 x-6=8 3+x=7 12=x+5
Answer:
1) x = 6
2) x = 14
3) x = 4
4) x = 7
Step-by-step explanation:
1) x+5=11
x = 11-5
x =6
2) x-6=8
x = 8+6
x = 14
3) 3+x=7
x = 7-3
x = 4
4) 12=x+5
12-5 = x
7 = x
What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?
Answer:
Option A.
Step-by-step explanation:
y + 1 = -3x + 15
y = -3x + 14
A line perpendicular would have a slope of 1/3.
y = 1/3x + c
-6 = 1/3 * 4 + c
4/3 + c = -6
c = -18/3 - 4/3
c = -22/3
So, we have y = 1/3x - 22/3.
y + 6 = 1/3(x - 4)
y + 6 = 1/3x - 4/3
y = 1/3x - 4/3 - 18/3
y = 1/3x - 22/3
So, the correct answer is Option A.
Hope this helps!
Pls help me out!! Ill be so happy!! TYSM
Answer:
Hey there!
The line 4x-3y=-9 can be converted to y=mx+b form.
4x-3y=-9
-3y=-4x-9
3y=4x+9
y=4/3x+3
The slope of a line perpendicular to this line would be -3/4.
The slope of a line parallel to this line would be 4/3.
Hope this helps :)
If f(x)=-5squared -4 and g(x) = -3x-2find (f+g)(x)
Answer:
-3x + 19
Step-by-step explanation:
f(x) = -5² - 4
f(x) = 25 - 4
f(x) = 21
(f+g)(x) = f(x) + g(x)
21 + -3x - 2
-3x + 19
It takes me 10 minutes to swim 2 laps. How long will it take
me to swim 5 laps?
Answer:
25 minutes
Step-by-step explanation:
10 ÷ 2 = 5
1 lap = 5 minutes
5/1 × 5 = 25
25 minutes
Hope this helped! :)
Answer:
25 minutes
Step-by-step explanation:
Let's set up a proportion using the following setup:
minutes/laps=minutes/laps
It takes 10 minutes to swim 2 laps.
10 minutes / 2 laps = minutes/laps
We don't know how long it will take to swim 5 laps. Therefore, we can say it takes x minutes to swim 5 laps.
10 minutes/ 2 laps= x minutes / 5 laps
10/2= x/5
We want to find out what x is. Therefore, we need to get x by itself.
x is being divided by 5. The inverse of division is multiplication. Multiply both sides by 5.
5*(10/2)=(x/5)*5
5*10/2=x
5*5=x
25=x
It takes 25 minutes to swim 5 laps.
Can someone please help me I really need help please help me thank you
Answer:
Negative 1/300
Step-by-step explanation:
I took the qiuz
MATH HELP ASAP PLSSSS
Answer:
(30,0)
Step-by-step explanation:
y=0
-2/5 *x +12=0
2x/5=12
2x=12*5
2x=60
x=60/2
x=30
Hey there! :)
Answer:
(30, 0).
Step-by-step explanation:
Solve for the x-intercept, or zero of the equation by setting the equation equal to 0:
y = -2/5x + 12 becomes:
0 = -2/5x + 12
Subtract both sides by 12:
-12 = -2/5x
Divide both sides by -2/5:
-12 (-5/2) = -2/5x (-5/2)
30 = x.
Therefore, the x-intercept is at (30, 0).
Write an equation for the translation of y=|x| 8 units left
Answer:
y=|x + 8|
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
y=|x + 8| since we want to move it 8 units to the left
Answer:
y = |X + 8|
Step-by-step explanation:
This seems counterintuitive. However, if you've studied a graph of an equation, you would notice two observations:
1. If you add a positive integer to the X, the graph would shift to the left
2. (The converse) if you add a negative integer to the X, the graph would shift right.
Claim: Most adults would erase all of their personal information online if they could.
A software firm survey of 453 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Find the value of the test statistic. (Round to two decimal places as needed.)
Answer:
271.80
Step-by-step explanation:
453 ⇒ 100% x(the missing value) ⇒ 60%using the proprtionality we get
x =[tex]\frac{453*60}{100}[/tex] x = 271.80Write an equation that could be used to find the value of e.
Answer:
Last option is the correct answer.
Step-by-step explanation:
By sine rule..
[tex] \huge \frac{ \sin \: 45 \degree}{22} = \frac{ \sin \: 63 \degree}{e} \\ [/tex]
A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to make a rough estimate of the standard deviation of those scores. Possible scores range from 300 to 2200. Use technology and the estimated standard deviation to determine the sample size corresponding to a 90% confidence level and a margin of error of 100 points. What isn't quite right with this exercise? The range. rule of thumb.estimate for the standard deviation. nothing.
Answer:
See explanation below
Step-by-step explanation:
range = 2200 - 300 = 1900
To find standard deviation, we have:
standard deviation = range/4 = [tex] \frac{1900}{4} [/tex] = 475
The range rule of thumb estimate for the standard deviation is 475
Given:
Standard deviation,[tex] \sigma[/tex] = 475
Margin of Error, ME = 100
[tex] \alpha [/tex] = 1 - 0.90 = 0.10
Za/2 = Z0.05 = 1.64
Find sample size, n:
n ≥ [tex] [Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2 [/tex]
n ≥ [tex][1.64 * (\frac{475}{100})]^2[/tex]
n ≥ 60.68
≈ 61
Minimun sample size,n = 61
The length of Sally’s garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. What are the dimensions of Sally’s garden
Answer:
Width=8
Length=28
Step-by-step explanation:
Width=x
Length=3x+4
perimeter is 2 lengths and 2 widths
2x + 2(3x+4)=72
2x+6x+8=72
8x=72-8
8x=64
x=8, so the width is 8
the length Is 3(8)+4 = 28
The radius of the water well is 9 inches. Find the area of the water well
Answer:
A=254.34
Step-by-step explanation:
1. A=πr²
2. A=π(9)²
3. A=π(81)
4. A=3.14(81)
5. A=254.34
Answer:
a=254.34 in^2
Step-by-step explanation:
We need to figure out the are of the water well which is a circle with a radius of 9.
This can be represented by the equation
[tex]a=\pi (9)^2[/tex]
Now just simplify.
[tex]a=\pi (81)[/tex]
a=254.34