Answer: [tex]\dfrac{1}{14}[/tex]
Step-by-step explanation:
Given, A pizza is to be cut into halves.
Since half is represented by [tex]\dfrac12[/tex] .
So each piece is now [tex]\dfrac12[/tex] of the original.
if each of these halves is to be cut into sevenths, then the fraction of final pieces would be: [tex]\dfrac{1}{2}\times\dfrac{1}{7}=\dfrac{1}{14}[/tex] or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.
And the fraction of the pizza is each of the final pieces = [tex]\dfrac{1}{14}[/tex] .
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.
I have 30 ones 2thousands 4hundred thousands , 60 tens and 100 hundreds what number am I ?
Answer:
Step-by-step explanation:
Units = 30
Thousands = 2,000
Hundreds of Thousands = 400,000
Tens = 60
Hundreds = 100
HTHHTU
400,000
2,000
100
60
30
402,190
The value of each digit in a number is known as the place value. The number is 412,630.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10.As per the given statement, the part of the numbers can be written as,
30 ones = 30 × 1 = 302 thousands = 2 × 1,000 = 2,0004hundred thousands = 4 × 100,000 = 400,00060 tens = 60 × 10 = 600100 hundreds = 100 × 100 = 10,000Now, summing up all, we will get the number,
Number = 30 + 2,000 + 400,000 + 600 + 10,000
= 412,630
Hence, the number is 412,630.
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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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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
Solve for x: 3x+y=5x-y
Answer: x= y
Step-by-step explanation:
3x + y =5x -y Subtract 5x from both sides
-5x -5x
-2x + y = -y Now subtract y from both sides
-y -y
-2x = -2y Now divide both sides by -2
x = y
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
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%.
Please help me with this
Answer:
Hey there!
3^-8(3^4)=3^-4
The second option is correct.
Hope this helps :)
NOT THE SAME 1 FROM BEFORE
Answer:
B. 40 ≤ e ≤ 100
Step-by-step explanation:
In a function, the domain values are the independent variables, and are always plotted on the x-axis, while the range values the dependent variables, which are always plotted on the y-axis on a graph.
From the graph given, it shows that f is a function of e. Which is, [tex] e(f) [/tex].
Therefore, the range of the function would be: B. 40 ≤ e ≤ 100
At the beginning of the months, a consumer had $437.52 of in his bank account. During he made deposits of $256 and $217.14 of $80 and write checks of $115.98 and $108.90 - What balance left?
Question:
At the beginning of the months, a consumer had $437.52 of in his bank account. During which he made deposits of $80, $256 and $217.14 and write checks of $115.98 and $108.90 - What balance left?
Answer:
The customer's balance is $765.78
Step-by-step explanation:
Given
Start Amount = $437.52
Deposits = $80, $256 and $217.14
Withdrawals (Checks) = $115.98 and $108.90
Required
Determine his balance
We start by calculating the total deposits made by the customer
[tex]Total\ Deposits = \$80 + \$256 + \$217.14[/tex]
[tex]Total\ Deposits = \$553.14[/tex]
Next, we calculate the total withdrawals (checks)
[tex]Total\ Withdrawals = \$115.98 + \$108.90[/tex]
[tex]Total\ Withdrawals = \$224.88[/tex]
At this point, we can now calculate the customer's balance as follows;
[tex]Balance =Start\ Amount + Total\ Deposits - Total\ Withdrawals[/tex]
[tex]Balance = \$437.52+ \$553.14 -\$224.88[/tex]
[tex]Balance = \$765.78[/tex]
Hence, the customer's balance is $765.78
The balance left in the consumer's account is $765.78.
The amount of money in the consumer's account increases with the deposits made and reduces when she writes checks.
The total value of the deposits have to be determined first.
Total value of the deposits = $256 + $217.14 + $80 = $553.14
The value of the checks written has to be determined
$115.98 + $108.90 = $224.88
Add the value of deposit, subtract the value of checks from the beginning balance
$437.52 + $553.14 - $224.88 = $765.78
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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
A florist sells 3 similar bouquets of flowers for $78. What is the cost per bouquet?
Answer:
$26
Step-by-step explanation:
Divide 78 by 3, which will get you 26 dollars per bouquet!
Answer:
Cost per bouquet is $26.
Step-by-step explanation:
You take the total cost of all three bouquets and divide them by the number of bouquets. 78/3 = 26.
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!
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.
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
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
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
Every positive number is also a rational number True or false
Answer:
false
Step-by-step explanation:
hope this helps✨
A marble is drawn at random from a box containing 10 red, 30 white, 20 blue, and 15 orange marbles. Find the probability that it is (a) orange or red, (b) not red or blue, (c) not blue, (d) white, (e) red, white, or blue
Step-by-step explanation:
given data:
total marbles = 75
red marble = 10
white marble = 30
blue marble = 20
orange marble = 15
solution:
a. Probability of drawing an orange or red
= 15/75 + 10/75
= 1/3
b. probability of not drawing a red or blue
= 1 - 20+10/ 75
= 3/5
c. Not blue
= 1 - p
= 1 - 20/75
= 11/5
d. Probability of drawing a white
= 30/75
= 2/5
e = red, white or blue
= 10/75 + 30/75 + 20/75
= 4/5
Answer:
Step-by-step explanation:4/5
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
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
(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!
a/3=−18 (a/3 is a fraction)
Answer:
Hey there!
a/3=-18
a=-54
Let me know if this helps :)
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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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
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:
Which 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
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]
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
(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]