Answer:
Formula of n!= n×(n-1)!
Answer:
The chemical symbol for nitrogen is N. ... The formula can be represented as N≡N.
Step-by-step explanation:
Can someone help me on this one
Answer:
your answer is A. the reason is because it has 2200 sqare units
Which is the product of 15 and
5
?
12
A.
5
5
12
B. 6
61
O
1
7.
12
O
o D. 78
Answer:
answer of above question is B. 6 1/4
An investment firm invested in two companies last year. They invested $20,000 in Company A and made a profit of 16%. They invested $12,000 in Company B
and made a profit of 14%.
Answer the questions below. Do not do any rounding.
(a) What was the investment firm's total profit?
(b) What was the percent profit for their total investment?
0%
Answer:
See below
Step-by-step explanation:
Profit A 20 000 * .16 = 3200
Profit B 12 000 * .14 = 1680
total profit = 4880 for investing 32000
4880 / 32000 = 15.25%
If a = √2+1 ÷ √2-1 and b =√2-1 ÷ √2+1, then a²+ab+b² is?
Answer:
Step-by-step explanation:
To solve this problem, we can start by simplifying the expressions for a and b:
a = (√2+1)/(√2-1) * (√2+1)/(√2+1) = (3 + 2√2)
b = (√2-1)/(√2+1) * (√2-1)/(√2-1) = (1 - 2√2)
Now we can substitute these expressions into a²+ab+b² and simplify:
a² + ab + b²
= (3 + 2√2)² + (3 + 2√2)(1 - 2√2) + (1 - 2√2)²
= 9 + 12√2 + 8 + 3 - 4√2 - 4√2 - 2 + 4√2 + 4
= 24
Therefore, a²+ab+b² equals 24.
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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Simplify
20x over 70x
Answer:
The answer is 2/7.
Step-by-step explanation:
You have to cut out the common terms :
\( \frac{20x}{70x} \)
\( \frac{20}{70} \)
\( \frac{2}{7} \)
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 242424 meters per second. After 444 seconds of driving, she was 707070 meters away from the safe zone.
Let yyy represent the distance (in meters) from the safe zone after xxx seconds.
Complete the equation for the relationship between the distance and number of seconds.
The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.
Find the equation for the relationship between the distance and number of seconds:A linear function containing one dependent and one independent variable.
It can be represented using the equation,
y = mx + c
where m is the slope
It is given in the question that,
Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safe zone.
Let, D(t) be the distance to the safe zone (measured in meters) and t be the time (measured in seconds)
After 4 seconds of driving, she was 70 meters away from the safe zone.
⇒ This means that at t = 4 seconds, D(4) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative
⇒ m = - 24
y = mx + c
⇒ D(t) = (-24)t + c
Put t = 4,
D(4) = (-24)4 + c
70 = -96 + c ⇒ c = 166
⇒ D(t) = 166 - 24t
Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.
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A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
Radius = 8in
Step-by-step explanation:
\( \hookrightarrow \sf \: V = {\pi r}^{2} h\)
Where,
v = 3014.4h = 15π = 3.14⇢ 3014.4 = (3.14)(r²)(15)
⇢ 3014.4 = (r²)(47.1)
⇢ 3014.4 = 47.1r²
⇢ 3014.4/47.1 = 47.1r²/47.1
⇢ 64 = r²
⇢ r = √64
⇢ r = 8
\( \therefore \) The value of radius is 8 inches
45. Find the sum of three consecutive odd integers if the
sum of the first two integers is equal to twenty-four les
than four times the third integer.
An odd integer can be expressed as x = 2n+1 where n is an integer. (Therefore making 2n an even number and 2n+1 an odd number).
Three consecutive odd integers can then be expressed as (2n+1), (2n+3), and (2n+5).
The sum of the first two integers is (2n+1) + (2n+3) = 4n+4 = 4(n+1). It is supposed to be 24 less than 4 times the third integer, or
4(2n+5)-24.
Setting both equal and solving for n:
4(n+1) = 4(2n+5)-24
24 = 4·6, so you can factor out 4 in the right-hand expression.
4(n+1) = 4(2n+5-6) or 4(n+1) = 4(2n-1)
Cancel out factor 4 and solve for n.
n+1 = 2n-1 this yields n=2
Now plug in into your three consecutive odd integer expressions: (2n+1) = 5, (2n+3) = 7, (2n+5) = 9. The sum is therefore 5+7+9 = 21.
Double check your answer:
Sum of first two integers: 5+7 = 12
24 less than 4 times third integer: 4·9 - 24 = 36-24 = 12.
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
work out the total surface area of this triangular prism 12cm by 5cm by 10cm by 13cm
To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.
The triangular faces have base 5cm and height 12cm, so each one has an area of:
(1/2) x 5cm x 12cm = 30cm²
There are two of these faces, so their combined area is:
2 x 30cm² = 60cm²
The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:
5cm x 10cm = 50cm²
5cm x 13cm = 65cm²
Again, there are two of these faces, so their combined area is:
2 x (50cm² + 65cm²) = 230cm²
Finally, we add up the areas of all the faces to get the total surface area:
60cm² + 230cm² = 290cm²
Therefore, the total surface area of this triangular prism is 290cm².
PLZ HURRY GOT 10 MINS LEFT
Answer:
6 units
Step-by-step explanation:
Both units lie on the -5 x-axis, so you only have to look at the difference in the y-axis. Going from -2 to -8 is a 6 unit difference.
Hope this helps :)
List all the subsets of the given set.
{e, n, t}
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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What is the total amount of outcomes possible when a coin is tossed four times and a card if selected from a standard deck of cards.
Answer:
About 60 pecent
Step-by-step explanation:
Answer: 832 possible outcomes
To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.
The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:
2 x 2 x 2 x 2 = 16
The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:
16 x 52 = 832
So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.
how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Do it in this order
Step-by-step explanation:
5 3 1 2 4 6
A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
3/4 11/12 5/3
multiply the actual length by the scale:
9 x 1/12 = 9/12 = 3/4
Answer: 3/4
Find the average rate of change where x=3 and x=5
Solve for the missing variable
X - 9 = 50
10x = 80
Answer
x=50+9
x=59
x=80/10
x=8
Step-by-step explanation:
Hope this helps u...
Answer:
X=59
x=8
Step-by-step explanation:
Please help me right now!
Thank you so much
The length of the arc KL in the given circle is 3.49 units
How to find the length of the arc KL?In a circle whose radius is R, the length of an arc defined by an angle x is given by:
Length = (x/360)*2*3.14*R
Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:
Length = (100/360)*2*3.14*2
Lenght = 3.49 units.
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A bag of M&M's has 6 red, 5 green, 4 blue, and 8 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? w 2) a blue or green? 3) an orange?
Answer:
P( yellow) = 8/23
P( blue or green) = 9/23
P(orange) = 0
Step-by-step explanation:
6 red, 5 green, 4 blue, and 8 yellow M&M's = 23 total
P( yellow) = yellow / total = 8/23
P( blue or green) = (blue+green) / total = (5+4)/23 = 9/23
P(orange) = orange/ total = 0/23
Answer:
there are 23 m&m's.
Step-by-step explanation:
Probability of getting red is 6/23
Probability of getting green is 5/23
Probability of getting blue is 4/23
Probability of getting yellow is 8/23
Orange = red + yellow = 6+8/23
Probability of getting Orange = 14/23
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes,
Required:
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
b. State the null and alternative hypotheses for the test.
Answer:
a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b) The null hypothesis is \(H_0: \mu \leq 4.50\), and the alternate hypothesis is \(H_a: \mu > 4.50\)
Step-by-step explanation:
Finding the confidence interval:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.98}{2} = 0.01\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.01 = 0.98\), so Z = 2.327.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 2.327\frac{2.1}{\sqrt{53}} = 0.67\)
The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes
The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.
a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.
b. State the null and alternative hypotheses for the test.
Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.
So the null hypothesis is \(H_0: \mu \leq 4.50\), and the alternate hypothesis is \(H_a: \mu > 4.50\)
Find the gcf of the following numbers using continuous division. Write ur answer
1.) 24 and 72
3.) 24,32 and 48
2.) 18,27 and 45
4.) 24 and 36
Pls answer I need it thank you!
Answer:
Step-by-step explanation:
The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.
In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:
1. Find the GCF of 24 and 72
2 / 24 72
2 / 12 36
2 / 6 18
3 / 3 9
/ 1 3
Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24
Therefore, the GCF of 24 and 72 is 24.
2. Find the GCF of 24, 32 and 48
2 / 24 32 48
2 / 12 16 24
2 / 6 8 12
/ 3 4 6
So the GCF is: 2x2x2 = 8
Therefore, the GCF of 24, 32 and 48 is 8.
3. Find the GCF of 18, 27 and 45.
3 / 18 27 45
3 / 6 9 15
/ 2 3 5
So the GCF is: 3x3 = 9
Therefore, the GCF of 18, 27 and 45 is 9.
4. Find the GCF of 24 and 36.
2 / 24 36
2 / 12 18
3 / 6 9
/ 2 3
So the GCF is 2x2x3 = 12
Therefore, the GCF of 24 and 36 is 12.
what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
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(I have verified my answer using an online calculator)
What is proportional too 12/4
PLEASE SOLVE WITH EXPLANATION!
DONT ANSWER JUST FOR POINTS
:)
Answer:
-2
Step-by-step explanation:
Apply the difference of two squares formula:
\(\displaystyle \large{(a-b)(a+b) = a^2-b^2}\)
Therefore:
\(\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = 3^2-(\sqrt{11})^2}\\\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = 9-11}\\\displaystyle \large{(3-\sqrt{11})(3+\sqrt{11}) = -2}\)
Therefore, -2 is the final answer.
__________________________________________________________
Summary
Difference of Two Squares\(\displaystyle \large{(a-b)(a+b)=a^2-b^2}\)
Squared Surd\(\displaystyle \large{(\sqrt{a})^2 = a}\)
\((3 - \sqrt{11} )(3 + \sqrt{11} )\)
Use the identity (a-b)(a+b)=a²-b²
a = 3b = √11\( {3}^{2} - { \sqrt{11 }^{2} }\)
\(9 - 11\)
\( - 2\)
Thus, Option A is the correct choice!!~
What is the slope of the line that passes through the points (8, 0) and (-4, -8)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
(-8 - 0)/(-4 - 8)= -8/-12 = 2/3
The slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
How to estimate the slope of the line?The slope or gradient between two points in the Cartesian coordinate system. The slope exists the amount of slant a line retains and can maintain a positive, negative, zero, or undefined value.
Using the slope formula \((y_2 - y_1)/(x_2 - x_1)\)
\(x_1 = 8, y_1 = 0\) and \(x_2 = -4 , y_2= -8\)
slope \(= (y_2 - y_1)/(x_2 - x_1)\)
= ((-8) - 0) / ((-4) - (8))
= (-8) / (-12) = (-2) / (-3)
= 0.66667
Therefore, the slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
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A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.
What will be the cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100?A 25% off coupon is a discount price.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:
For a $60 meal:
Cost of meal = $60 - 25% * $60
Cost of meal = $60 - $15
Cost of meal = $45
For a $100 meal:
Cost of meal = $100 - 25% * $100
Cost of meal = $100 - $25
Cost of meal = $75
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Complete question:
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)
The following table shows the cost for a person to go to the 4 - H Fair to go on a certain number of rides: Develop an equation to represent the scenario. A. y = 2x + 5B. y = 6x C. y = -2.5xD. y = 8x + 26E. None of the above
In order to develop an equation, let's use the slope-intercept form of the linear equation:
\(y=mx+b_{}\)Using the points (3, 13.5) and (5, 18.5) from the table, we have:
\(\begin{gathered} (3,13.5)\colon \\ 13.5=3m+b \\ (5,18.5)\colon \\ 18.5=5m+b \end{gathered}\)Subtracting the second and the first equation:
\(\begin{gathered} 5m+b-(3m+b)=18.5-13.5 \\ 2m=5 \\ m=2.5 \end{gathered}\)Now, finding the value of b:
\(\begin{gathered} 13.5=3m+b \\ 13.5=7.5+b \\ b=13.5-7.5 \\ b=6 \end{gathered}\)So the equation that represents this table is y = 2.5x + 6
Looking at the options, the correct one is E (none of the above).