Answer:
2.85
Step-by-step explanation:
count the numbers given to you , which is 20then sum up the numbers , which is 57then divide the two answerswhich is 57/20=2.85Which of the following is the inverse of y=
6^x?
Answer:
y = (ln x) / (ln 6)
Step-by-step explanation:
1. Exchange x and y: x = 6^y
2. Solve for y: Take the natural log of both sides:
ln x = y ln 6
Then: y = (ln x) / (ln 6)
Note: y = (log x) / (log 6) is also correct
Can someone please help me with this ?
Answer:
x = -2i and 2i (or ±2i)
Step-by-step explanation:
Solve for x:
2x² - 4 = -12
2x² = -8
x² = -4
x = √(-4) = ±2i
Write a ratio for the following description: For every 6 cups of flour in a bread recipe, there are 2 cups of milk. Type your answer in the format: 3:4 with no spaces. Describe a situation that could be modeled with the ratio 4: 1.
Answer:
6:2 or 1:3
Step-by-step explanation:
Not really sure how to explain this, but I hoped this helped!
2. What is the sum of a number and five?
Answer:
n + 5
Step-by-step explanation:
"The sum of a number and 5" can be written symbolically as n + 5.
The probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. If the probability that a student owns both is 0.55, find the probability that a student owns a laptop or a desktop.
Answer:
The probability that a student owns a laptop or a desktop is 92%.
Step-by-step explanation:
We are given that the probability that an online student owns a laptop is 0.82 and the probability that a student owns a desktop is 0.65. The probability that a student owns both is 0.55 .
And we have to find the probability that a student owns a laptop or a desktop.
Let the probability that a student owns a laptop = P(L) = 0.82
The probability that a student owns a desktop = P(D) = 0.65
The probability that a student owns both laptop and desktop = P(L [tex]\bigcap[/tex] D) = 0.55
Now, the probability that a student owns a laptop or a desktop is given by = P(L [tex]\bigcup[/tex] D)
P(L [tex]\bigcup[/tex] D) = P(L) + P(D) - P(L [tex]\bigcap[/tex] D)
= 0.82 + 0.65 - 0.55
= 0.92 or 92%
So, the probability that a student owns a laptop or a desktop is 92%.
Every positive number is also a rational number True or false
Answer:
false
Step-by-step explanation:
hope this helps✨
If f(x) = 3x + 10x and g(x) = 5x - 3, find (f+ g)(x).
O A. 18x– 3
O B. 3x + 15x - 3
O c. 3x - 5x + 3
O D. 3x + 5x + 3
Determine if 0.292992999299992999992... is rational or irrational
and give a reason for your answer.
Answer:
Irrational
Step-by-step explanation:
Can't be put into a fraction.
part 7: please assist me with these problems
Answer: 10) 40° 11) 9.9
Step-by-step explanation:
[tex]\text{Law of Sines:}\quad \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
10) Given: a = 31, b = 20, A = 84°
[tex]\dfrac{\sin 84^o}{31}=\dfrac{\sin B}{20}\\\\\\\dfrac{20\sin 84^o}{31}=\sin B\\\\\\\sin^{-1}\bigg(\dfrac{20\sin 84^o}{31}\bigg)=B\\\\\\39.9^o=B[/tex]
11) Given: a = 18, A = 105°, B = 32°
[tex]\dfrac{\sin 105^o}{18}=\dfrac{\sin 32^o}{b}\\\\\\b=\dfrac{18\sin 32^o}{\sin 105^o}\\\\\\b=9.87[/tex]
What’s the ratio for this rectangle
Answer: 9 to 4
Step-by-step explanation:
Using the grids you can count them to see what the width is.
The width is 9 units and the height is 4 units so the ration will be 9 to 4
The ratio of width of the rectangle to the height of the rectangle is 9 to 4.
A rectangle is a quadrilateral with four sides and four angles. It is a type of geometric shape characterized by its properties, including having opposite sides that are equal in length and all angles measuring 90 degrees (right angles).
In the given rectangle, there are 4 units or boxes in the height.
There are 9 units or boxes which makes width of the rectangle.
Hence, the ratio of width of the rectangle to the height of the rectangle is 9 to 4.
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J(x) = 220/x^3 and j-x)=220/(-x)^3
Answer:
Option (A)
Step-by-step explanation:
If a function 'f' is an odd function,
f(-x) = -f(x)
If a function 'f' is an even function,
f(-x) = f(x)
In this question given function is,
f(x) = [tex]\frac{220}{x^3}[/tex]
To check the given function is odd or even,
f(-x) = [tex]\frac{220}{(-x)^{3} }[/tex]
= [tex]-\frac{200}{x^{3}}[/tex]
Therefore, from the definition of even and odd functions,
Function 'f' is an odd function.
Option (A) will be the correct option.
What’s the Answer
please?
Answer:
Widths are 2, 4, 5
Border or the perimeter of all these rectangles = 16
Perimeter of a rectangle
=> 2 ( L + W)
W = Width
L = Length
Area of a rectangle
=> L x W
First rectangle
Perimeter = 2(L+W)
=> 2 (L + 2) = 16
=> 2L + 4 = 16
=> 2L + 4 - 4 = 16 - 4
=> 2L = 12
=> 2L/2 = 12/2
=> L = 6
Length of the First Rectangle = 6
Area = L x W
=> 6 x 2 = 12
Area of the First Rectangle = 12
Second rectangle
Perimeter = 2( L + W)
=> 2 (L + 4) = 16
=> 2L + 8 = 16
=> 2L + 8 - 8 = 16 - 8
=> 2L = 8
=> 2L/2 = 8/4
=> L = 4
Length of the Second Rectangle = 4
Area = L x W
=> 4 x 4
=> 16
Area of the Second Rectangle = 16
Third Rectangle
Perimeter = 2 (L + W)
=> 2 (L + 5) = 16
=> 2L + 10 = 16
=> 2L + 10 - 10 = 16 - 10
=> 2L = 6
=> 2L / 2 = 6/2
=> L = 3
Length of the Third Rectangle = 3
Area = L x W
=> 3 x 5
=> 15
Area of the Third Rectangle = 15
To find which figure covers more spaces, we need to which figure has more area.
=> Rectangle 2 has the largest area = 16
(Hurry, please!) A line passes through the point (8,-1) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x -11
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 5/4 x + b
Substitute the point into the line
-1 = 5/4(8) +b
-1 =10 +b
Subtract 10 from each side
-11 = b
y = 5/4x -11
Answer:
[tex]\huge \boxed{y=\frac{5}{4} x-11}[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as,
[tex]y=mx+b \\ \\ \\ \sf m= slope \\ \\ b=y -intercept[/tex]
The slope is given.
[tex]\displaystyle y=\frac{5}{4} x+b[/tex]
The line passes through the point (8, -1).
[tex]x=8 \\ \\ y=-1[/tex]
Plugging in the values.
[tex]\displaystyle -1=\frac{5}{4} (8)+b[/tex]
Solving for b or y-intercept of the line.
[tex]\displaystyle -1=\frac{40}{4} +b[/tex]
[tex]-1=10+b[/tex]
[tex]-11=b[/tex]
The y-intercept of the line is -11.
[tex]\displaystyle y=\frac{5}{4} x-11[/tex]
What is the z-score of the value 65 in a population if the population has a mean s = 62 and a standard deviation o = 2.4? A. 1.25 B. 0.9169 C. -1.25 D. 1.009
Answer:
Option A
Step-by-step explanation:
z-score = (value - mean)/std = (65-62)/2.4 = 1.25
In part of an agreement between cigarette agencies and the government, levels of nicotine in cigarettes are to be slowly reduced over time. A sample of 40 measurements conducted on one brad of cigarettes 10 years ago yielded an average of 32.9mg per cigarette with a sample standard deviation of 4.4 mg. A study done last month on 30 cigarettes of this brand yielded a sample mean of 30.6mg with sample standard deviation 5.1 mg. What type of test should be used to determine if the levels now are lower than what they were 10 years ago
Answer: INDEPENDENT SAMPLES T-TEST
Step-by-step explanation:
Given that;
sample size n₁ = 40, sample size n₂ = 40
sample mean x₁ = 32.9, sample mean x₂ = 30.6
Standard deviation S₁ = 4.4, Standard deviation S₂ = 5.1
Now
NULL hypothesis H₀ : u₁ = u₂
and Alternative hypothesis H₁ : u₁ > u₂
Therefore based on the information provided above, the type of test that should be used to determine whether the level of nicotine are now lower than what they were 10 years ago is the INDEPENDENT SAMPLES T-TEST
What's the area of the following triangle?
6 in.
10 in.
16 in.
2
86 in.
14 in.?
30 in.
Answer:
30
Step-by-step explanation:
Formula is 1/2bh
6 times 10 = 60
60 divided by 2 equals 30
Answer:
⇒30 in²
Step-by-step explanation:
area ofΔ⇒1/2×length×width
⇒ 1/2×6 in×10 in
⇒1/2×60in²
⇒30 in²
-3 yz; use y = 3, and z=2
Answer:
-18
Step-by-step explanation:
-3 (3)(2)
-9 * 2
-18
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 18}}}}}[/tex]
Step-by-step explanation:
Given, y = 3 , z = 2
To find : value of -3yz
plug the values of y and z
[tex] \sf{ - 3 \times 3 \times 2}[/tex]
Multiply the numbers : - 3 and 3
⇒[tex] \sf{ - 9 \times 2}[/tex]
Multiply the numbers : -9 and 2
⇒[tex] \sf{ - 18}[/tex]
Hope I helped!
Best regards!!
At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes?
Answer:
a) Cost of a chicken shawarma wrap?
$10.99
b) Cost of one order of spiced potatoes?
$4.99
Step-by-step explanation:
Cost of a chicken sharwarma wrap = a
Cost of an order of spiced potatoes = b
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3a + 2b = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5a + 4b = $74.91 ................Equation 2
So we have:
3a + 2b = $42.95 .............Equation 1
5a + 4b = $74.91 ................Equation 2
We use Elimination method to solve for this.
Multiply Equation 1 by coefficient of b in Equation 2
Equation 2 by coefficient of b in Equation 1
3a + 2b= $42.95 .............Equation 1 × 4
5a + 4b = $74.91 ................Equation 2 × 2
12a + 8b = 171.80..............Equation 3
10a + 8b = 149.82..............Equation 4
Subtract Equation 3 from Equation 4
2a = 21.98
a = 21.98/2
a = 10.99
Therefore, a = Cost of Chicken sharwarma wrap = $10.99
Subtitute 10.99 for 9in Equation 1
3a + 2b = $42.95 .............Equation 1
3(10.99) + 2b = 42.95
32.97 + 2b = 42.95
2b = 42.95 - 32.97
2b = 9.98
b = 9.98/2
b = 4.99
b = Cost of an order of spiced potatoes = $4.99
Hence,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99
PLEASE ANSWER!!! I WILL MARK YOU AS BRAINLIEST!!!! An object is launched straight up into the air with an initial velocity of 40 m/s, from a height 30 m above the ground. Assuming that gravity pulls it down, changing its position by about 4.9 m/s2, after how many seconds will the object hit the ground? Enter your answer as rounded to the nearest tenth, such as: 42.5
Answer:
6.7 seconds
Step-by-step explanation:
Let's calculate the maximum height covered by the object
Max height= U²Sin²tita/2g
Where g is acceleration due to gravity
Max height= 40²(sin90)²/(2*9.81)
Max height= 1600/19.62
Max height=81.55 m
Total max height= 30+81.55
Total max height= 111.55 m
Time t it will take to travel from the max height at acceleration of 4.9 m/s²
S= ut + ½at²
u= 0 at Mac height
S= 111.5 m
111.5 = ½(4.9)t²
223/4.9= t²
45.5= t²
6.745 seconds= t
6.7 seconds= t
Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?
Answer:
$24.35
Step-by-step explanation:
sale price⇒ total price-discount price
s.p=$24.60-25/100 ∴25%⇒25/100
s.p⇒$2460/100-25/100 ∴24.60⇒2460/100
s.p⇒$24.35
⇒$24.35
f(x) = x/2 - 1 find f (12)
Answer:
5
Step-by-step explanation:
Hi,
f(12)= 12/2 -1 = 6 -1 = 5
Thanks
Answer:
5
Step-by-step explanation:
f(x) = x/2 - 1
Let x = 12
f(12) = 12/2 -1
= 6-1
= 5
If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°?
Answer:
adjacent / hypotenuse cos x° = g divided by h is right
Step-by-step explanation:
If [tex]tanx^{o} = \frac{6}{g}[/tex] and [tex]sinx^{o} = \frac{6}{h}[/tex] then [tex]cosx^{o} = \frac{g}{h}[/tex] .
Trigonometric Ratios:By right angled triangle we have,
Trigonometric ratios as
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]tanθ = [tex]\frac{opposite}{adjacent}[/tex]Given [tex]sinx^{o} = \frac{6}{h}[/tex] and [tex]tanx^{o} = \frac{6}{g}[/tex]
By comparison, we haveopposite = 6, hypotenuse = h, adjacent = g
Hence, we can write[tex]cosx^{o}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex] [tex]=\frac{g}{h}[/tex]
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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term
Answer: the first term is 45
Step-by-step explanation:
Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20
So ar²= 20 and we make this equation i
Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)
Further simplification gives us
3a= a/(1-r)
We simplify Futher by multiplying both sides by (1-r)
3a.(1-r) = a/(1-r).(1-r)
3a(1-r)=a
= 3a-3ar=a
Make 3ar the subject of the formula
3ar= 2a and lets make this equation (ii)
Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²
Ar²/r² = 20/r²
A=20/r²lets make this equation (iii)
Step 4: subtitle a as 20/r² into equation (ii)
Since 3ar=2a
Then 3.(20/r²).r = 2. 20/r²
= (60/r²) .r = 40/r²
60/r = 40/r2
Multiplying both sides by r² gives us
60r = 40
Divide both sides by 20 gives us
= 3r= 2
Divide both sides by 3 gives us
= r = 2/3
Step 5: substitute r for 2/3 in equation i
ar²= 20
a. (2/3)2 = 20
= a.4/9 = 20
= 4a = 180
= a = 180/4
a = 45
(9x - 4x2 + 9) + (-x3 + 4x2 - 3)
Answer:
The solution to the given expression is -x³ + 9x + 6
Step-by-step explanation:
(9x - 4x² + 9) + (-x³ + 4x² - 3)
Since there is a positive sign in front of the second parentheses, then the terms inside will stay the same.
9x - 4x² + 9 - x³ + 4x² - 3
Group terms together that are alike. Also known as like terms.
-x³ + (-4x² + 4x²) + 9x + (9 - 3)'
Combine like terms.
-x³ + 9x + 6
Answer:
- [tex]x^{3\\}[/tex] + 9x + 6
Step-by-step explanation:
First, you need to combine like terms. Like terms, when dealing with exponents can be categorized by their powers.
hIn this case, 9x stands alone, because there is no other coefficient with the power of just x.
9x
Next, we can look at the -4x^2. The other similar coefficient is + 4x^2. We can combine both of those, which will equal out to 0.
Next, you have 9. It can be combined with -3, since none of them have an exponent attached. It will equal 6
9x + 6
We also have a -x^3 left over. There is no like term to combine with it, so we can leave it as is.
Our problem now looks like
9x + 6 - [tex]x^{3}[/tex]
You can rearrange them in the proper order, so it will look like,
- [tex]x^{3}[/tex] + 9x + 6.
And there you have it!
How many solutions does the system have?
Answer: A
Step-by-step explanation:
There are 2 ways to solve this problem.
Solution 1:
Since we are given two equations, we set them equal to each other to find where they intersect, the solution.
3x+3=-2x+3 [combine like terms]
5x=0 [divide both sides by 5]
x=0
Now that we have x=0, we can plug it into either equation to find the point of intersection.
y=3(0)+3
y=3
We know that the point of intersection is (0,3).
-------------------------------------------------------------------------------------------------------------
Solution 2:
This way of solving the problem doesn't require any calculations. All it requires is an understanding of slope-intercept form equation. From the two equations given, we know that they are linear lines. Linear lines can only intersect once. Knowing this, we know that there can only be exactly one solution.
A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
Answer:
there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Step-by-step explanation:
Given that:
A marketing organization claims that more than 10% of its employees are paid minimum wage.
The null hypothesis is:
[tex]H_o : p = 10[/tex]
The alternative hypothesis is:
[tex]H_1 : p > 10[/tex]
If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
i.e Decision Rule: fails to reject the null hypothesis
Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Please help me with this
Answer:
Hey there!
3^-8(3^4)=3^-4
The second option is correct.
Hope this helps :)
A 16 and 12 km of road music players work with their 214 km of road per week how many weeks will it take to repair a stretch of road
Answer:
i tried to answer but the question made no sense
Step-by-step explanation:
The Pampered Pet Hotel cares for dogs and cats while their owners are away. The daily fee for boarding a dog at the hotel is different from the fee for boarding a cat. On Tuesday, 11 dogs and 14 cats stayed at the hotel and the hotel earned \$573.25 . On Friday, 22 dogs and 9 cats stayed at the hoteland the hotel earned 790.25How much does it cost per day to board a dog and a cat at the pet hotel?
Step-by-step explanation:
Let the rate of boarding a dog and a cat be x and y respectively.
Now,
11x + 14y = 573.2522x + 9y = 790.25Further solving the two equations :
Y = $ 18.75
X = $ 28.25
The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.
Answer:
w = [tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
We can find the formula for the width by isolating w:
V = lwh
Divide each side by lh to isolate w:
[tex]\frac{V}{lh}[/tex] = w