Answer:
Option (1)
Step-by-step explanation:
Given expression is,
[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]
Let the given expression is equal to y.
[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]
By applying logarithmic rule,
[tex](\frac{w^2}{w^6} )=w^y[/tex]
[tex]w^2\times w^{-6}=w^y[/tex]
[tex]w^{2-6}=w^y[/tex]
[tex]w^{-4}=w^y[/tex]
[tex]y=-4[/tex]
Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].
Option (1) will be the correct option.
Find the sum of−3x^2
Answer:
[tex]x+y=2[/tex]
[tex]y=-x+2[/tex]
[tex]slope (m)=-1[/tex]
[tex]slope ~of ~perpenddicular ~line:-[/tex]
[tex]-1/m_{2}[/tex]
[tex]\frac{-1}{-1} =1[/tex]
------------------------
hope it helps...
have a great day!
Find the area of the circle. Leave your answers in terms of pi.
Answer:
49pi m^2
Step-by-step explanation:
Area of circle=pi r^2
D=2r=14
r=7
Area of circle =7^2pi=49pim^2
Answer:
Step-by-step explanation:
The diameter = 14m
r = d/2
r = 14/2
r = 7
Area = pi * r * r
Area = 7 * 7 * pi
Area = 49 pi
helppppppppppppp pla
Answer:
20 X 6 would be the answer.
a book had a sale and it was 20% off. the price now is $7.00. What was the original price?
show work
Answer:
List Price = $ 8.75
Discount Amount = $ 1.75
What is the mode of this data set?
12, 12, 13, 14, 17, 16
Answer:
Mode = 12
Step-by-step explanation:
If you need--
Median-13.5
Mean-14
Answer:
12
Step-by-step explanation:
the mode is the number that is the most in fashion
here 12 appears the most
Find the measure of the exterior angle.
Answer:
33+x+18=2x+3
51+x=2x+3
51-3=2x-x
48=x
Step-by-step explanation:
2x+3
2*48+3
96+3
99
A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2655 + $324d
Step-by-step explanation:
total cost of a booth = fixed cost + (variable cost x number of days)
Fixed costs are costs that do not vary with output
Variable costs are costs that vary with production
cost of 18 food booths = 18(50 + 6d) = 900 + 108d
cost of 27 game booths = 27(65 + 8d) = 1755 + 216d
Add the total cost of the food and game booths together 900 + 1755 = 2655
108d + 216d = 324d
1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
ball, is this considered a dependent or independent event?
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
[tex]Red = 6[/tex]
[tex]Green = 4[/tex]
If the balls are replaced after taken, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 4/10[/tex]
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
helppp pleaseee:(im failing
Answer:
1.o5 I fell i I'm in heven
HELP PLEASE!!!! LOOK AT PHOTO
x+10/(x+9)(x-2).(3x-6)(x-2)/3(x+10)
3(x-2)/3(x+9)(x-2)
1/x+9
i need help with this new one plz and thank you
Answer:
51.04
Step-by-step explanation:
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
solve for X. Assume that lines which appear tangent are tangent
Answer:
C
Step-by-step explanation:
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
Find the range of the data set: 400, 340, 870, 400
Answer:
530 870-340=530
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
Range means when you do the highest number takeaway from the smallest number.
870-340=530.
hope this helps,have a great day!!
~Pinky~
please find the volume of the cone!!
[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Plugging in our values,
[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]
So the answer is,
[tex]2.095{m}^{3} [/tex]
Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?
Answer:
$140,000
Step-by-step explanation:
Paso 1
Si a una persona le deben 7/9 de $ 450,000
La cantidad que se le debe a la persona se calcula como:
7/9 × $ 450,000
= $ 350,000
Paso 2
Solo se cancela 3/5 de esa deuda.
El monto de la deuda que se cancela se calcula como:
3/5 × $ 350,000
= $ 210,000
Paso 3
Por lo tanto, la cantidad de dinero que debe se calcula como:
$ 350,000 - $ 210,000
= $ 140,000
Writing a linear equations
Answer:
y = 1/2 x - 2
Step-by-step explanation:
The standard linear equationof a line is expressed as y = mx+b
Using the coordinate points (0, -2) and (2, -1)
Slope m = -1-(-2)/2-0
m = -1+2/2
m = 1/2
Since the line cuts the y axis sat y = -2, hence the intercept b = -2
Get the required equation;
Recall that y = mx+b
y = 1/2 x + (-2)
y = 1/2 x - 2
This give the required linear equation
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross
section formed?
PLZ HELP
In ⊙C, DE ≅ FG, Which statement must be true? Select all that apply.
Answer:
E because is covered all angle
< DCE ≅ < GCF must be true
Hence Option A and E are true statements.
What are angles of circle?A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.
According to the given figure:
DE ≅ FG
So < DCE ≅ < GCF must be true
Because DE ≅ FG
< DCE ≅ <GCF is similar to DE ≅ FG
Hence, < DCE ≅ < GCF must be true
Hence Option A and E are true statements.
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In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?
Answer:
83 degrees
Step-by-step explanation:
We can use the consecutive angle theorem to find the the value of x.
We can do that by doing 5x+10.5+6x+10 = 180
After simplifying, we get 11x+20.5=180
Subtract 20.5 on both sides and you get 11x=159.5.
Divide by 11 on both sides and you get x=14.5
Now we can use opposite angle theorem and set angle N and angle T equal.
That means we could write 5x+10.5 = m<T
We can substitute 14.5 for x and we get 72.5+10.5 = m<T
Simplify and you get 83 = m<T
----------------------------------------------
Hope this helps!
In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatment 3Sample Size5105Sample Mean489The overall mean for all the treatments is _______.
Answer:
7.25
Step-by-step explanation:
Given :
___________ Sample size __ sample mean
Treatment 1 ____ 5 _______ 4
Treatment 2 ____ 10 ______ 8
Treatment 3 ____ 5 _______ 9
Sample size = (5 + 10 + 5). = 20
Overall mean = ((5*4). + (10*8) + (5*9)) / 20
Overall mean = (20 + 80 + 45) / 20
= 145 / 20
= 7.25
Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3
Answer:
A. minimum value = 1; maximum value = 6
Step-by-step explanation:
Correct on Edge 2021
The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?
Answer:
B
( temp starts at 70 and DECREASES 8 per HOUR )
13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble
Answer:
a) 9 / 200
b) 13 / 100
Step-by-step explanation:
a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.
Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).
There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200
b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.
There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
Answer:
240
Step-by-step explanation:
hello! i'm assuming you need to find the area, so you would need to multiply 20 and 12. Hope this helped and have a nice day/night!
- Holl ^^
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the living room wall = The area of the rectangle
The amount of paint needed to cover one wall is 240 square feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of a rectangle with length 2cm and width 3cm is 6cm².
We have,
A living room wall is 20 feet long, and 12 feet high.
The living room can be considered a rectangle.
Length = 20 feet
Width = 12 feet
The area of the living room wall = Area of a rectangle
Now,
Area of the living room wall.
= 20 x 12
= 240 square feet
Thus,
The amount of paint needed to cover one wall is 240 square feet.
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The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The mean age (nearest year) of all the people in the office is 23
How to determine the mean age?The given parameters are:
5 women = 23 years
3 men = 24 years
Mean is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]
Evaluate the quotient
[tex]\bar x = 23[/tex]
Hence, the mean age (nearest year) of all the people in the office is 23
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fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).
Answer:
y1 = abx1 and y2 = abx2
Step-by-step explanation: