Answer:
76
Step-by-step explanation:
Taylor is factoring the following expression but notices she got the wrong answer when checking her work. Identify what she did wrong and show her the appropriate way to factor.
Answer:
15x = 3 (5x)
Step-by-step explanation:
12 + 3 = 15
15x = 3 (5x)
Taylor forgot to add 3 to her answer and got the result of 3 x 4 which is 12.
The correct way for her to factor is to use Pemdas.
-kiniwih426
\(\\ \sf{:}\dashrightarrow 12x+3=3(4x)\)
\(\\ \sf{:}\dashrightarrow 12x+3=12x\)
\(\\ \sf{:}\dashrightarrow 12x-12x=3\)
\(\\ \sf{:}\dashrightarrow 0=3\)
No solutions ✓
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
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In the coordinate plane, the point X (-1, 0) is translated to the point X' (3, 1). Under the same translation, the points Y (2, 3) and Z (1, -2) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
The coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
Here, we have,
To find the coordinates of Y' and Z', we need to apply the same translation that maps X to X'.
We know that the vector that connects X to X' is (3 - (-1), 1 - 0) = (4, 1).
So, to translate Y to Y', we add the vector (4, 1) to the coordinates of Y:
Y' = Y + (4, 1)
= (2, 3) + (4, 1)
= (6, 4)
Similarly, to translate Z to Z', we add the vector (4, 1) to the coordinates of Z:
Z' = Z + (4, 1)
= (1, -2) + (4, 1)
= (5, -1)
Therefore, the coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
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Which of the following have rational exponents?
Answer:
I would say all of them
Step-by-step explanation:
Three is a rational number and the others are fractions
rational numbers can be written as fractions
What is the meaning of "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}"?
If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.
In other words, there are no other proper subgroups of G besides these two.
The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.
In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.
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teacher.
1. If the hydrogen ion concentration is a measure of the strength of an acid, how much stronger is
an acid like lemon juice with a pH of 2 than an acid like urine which has a pH of 5.5?
2. A 1998 Pontiac Grand-Am depreciates in value by 18% on average each year. If the car
originally sold for $19995 in 1998, how much would the car be worth in 2012?
3. The newest gossip spreads through Meaghann's high school like wildfire. The number of
students who have heard the news triples every two minutes, thanks mostly to texting. If the
gossip started with just one person, how long would it take before the entire school of 1200
students hears the news?
The three questions are illustrations of arithmetic operations and geometric progressions
(1) Acid concentration
The given parameters are:
pH of acid lemon juice = 2
pH of acid urine = 5.5
The difference between their pH is calculated as follows:
Difference = 5.5 - 2
Difference = 3.5
Multiply the difference by 10, to calculate the acidity
Acidity = 3.5 * 10
Acidity = 35
Hence, the acid like lemon juice is 35 times stronger than urine
(2) Depreciation
The depreciation is given as:
r = 18%
In 1998, the car's worth is $19995.
This is represented as:
a = 19995
2012 is 14 years from 1998.
This is represented as:
n = 14
So, the worth of the car in 2014 is calculated using:
\(\mathbf{Worth =a(1 -r)^n}\)
So, we have:
\(\mathbf{Worth =19995 \times (1 -18\%)^{14}}\)
Express percentage as decimal
\(\mathbf{Worth =19995 \times (1 -0.18)^{14}}\)
\(\mathbf{Worth =19995 \times 0.82^{14}}\)
Evaluate
\(\mathbf{Worth =1243}\)
Hence, the worth of the car in 2012 is $1243
(3) Spread of Gossip
The spread of the gossip is an illustration of geometric progression, where
a = 1 ---- the first term
r = 3 --- the common ratio
L =1200 --- the last term
So, we calculate the number of terms from 1 to 1200 using the following nth terms of geometric progression
\(\mathbf{L = ar^{n-1}}\)
This gives
\(\mathbf{1200 = 1 \times3^{n-1}}\)
\(\mathbf{1200 = 3^{n-1}}\)
Take logarithm of both sides
\(\mathbf{log(1200) = log(3^{n-1})}\)
Apply law of logarithm
\(\mathbf{log(1200) = (n-1)log(3)}\)
Divide both sides by log(3)
\(\mathbf{n - 1 = log(1200) \div log(3)}\)
\(\mathbf{n - 1 =6.45}\)
Add 1 to both sides
\(\mathbf{n =7.45}\)
Since the gossip spreads every two minutes.
The total time is:
\(\mathbf{Total =2minutes \times 7.45}\)
\(\mathbf{Total =14.9\ minutes}\)
Hence, it will take 14.9 minutes for the gossip to spread to 1200 students
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AHHH I'M LOSING POINTS PLEASE HELP
Answer:
Top Middle in the top column, rest bottom i think
Step-by-step explanation:
She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.
can someone help me on iready area? Is my answers right? TYY Rachel and Erik are buying a rug in the shape of a circle with a diameter of 8 ft. The cost of the rug is based on its area. They want to estimate the area of the rug before buying it.
Rachel uses the area formula A = π2 and says that the expression 4^2 x 22/7 is a good estimate for the area of the rug.
Erik says he could divide a circular model of the rug into 12 equal parts and arrange the pieces into a shape close to a parallelogram. The area of the parallelogram would be approximately equal to the area of the rug.
Answer:
Both Rachel and Erik are trying to estimate the area of the circular rug with a diameter of 8 ft. Rachel's estimate using the formula A = πr^2 is correct and is the standard way to find the area of a circle. Erik's method of dividing the circle into 12 parts and forming a parallelogram is also a creative way to estimate the area, but it may not be as accurate as Rachel's formula-based approach.
Step-by-step explanation:
The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the diameter of the circle is 8 ft, so the radius can be calculated as r = 8/2 = 4 ft. Substituting the radius into the formula gives A = π x 4^2 = 16π.
Erik's approach of dividing the circle into 12 parts and forming a parallelogram is an estimation method that could be used to find the area of a circle. The idea is to divide the circle into equal parts, arrange them into a parallelogram shape, and find the area of the parallelogram. This will give an estimate of the area of the circle, but it may not be as accurate as using the formula A = πr^2.
a parabola has vertical axis symmetry with a vertex at the point of (0,0) and (0, -5) focus point
Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?
Answer:
2.576
Step-by-step explanation:
Given :
Confidence level (α) = 99%
Z(1 - α)/2 = Z(1 - 99%)/2
Z1%/2 = Z1%/ 2
Z0.5% = Z0.005
Z(0.99 + 0.005) = Z0.995
Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57
Similarly, using the Invnorm calculator function :
Invnorm(0.995) gives a Zscore of :
2.576
A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale weight in (oz)?
a. 35 oz
b. 53oz
c. 41
d. 29oz
Answer:
53 ounces
Step-by-step explanation:
We know that,
1 pound = 16 ounce
3 pounds = 48 ounces
We need to find the weight in 3 pounds, 5 ounces.
3 pounds, 5 ounces = 48 ounces+ 5 ounce
= 53 ounces
So, the scale weight is 53 ounces. Hence, the correct option is (b).
Use n = 6 and p = 0.25 to complete parts (a) through (d) below.
(a) Construct a binomial probability distribution with the given parameters.
х
P(x)
0
1
2
3
4
5
6
(Round to four decimal places as needed.)
(hl somnute the mean and standard deviation of the random variable using Hy = x.P(x)] and oy =
Answer:
The binomial probability distribution is shown below.
Step-by-step explanation:
The probability mass function of X is:
\(P(X=x)={n\choose x}p^{x}(1-p)^{n-x};x=0,1,2,3..\)
It is provided that n = 6 and p = 0.25.
Construct a binomial probability distribution with the given parameters as follows:
X P (X = x)
0 \(P(X=0)={6\choose 0}(0.25)^{0}(1-0.25)^{6-0}= 0.1780\)
1 \(P(X=1)={6\choose 1}(0.25)^{1}(1-0.25)^{6-1}= 0.3560\)
2 \(P(X=2)={6\choose 2}(0.25)^{2}(1-0.25)^{6-2}= 0.2966\)
3 \(P(X=3)={6\choose 3}(0.25)^{3}(1-0.25)^{6-3}= 0.1318\)
4 \(P(X=4)={6\choose 4}(0.25)^{4}(1-0.25)^{6-4}= 0.0330\)
5 \(P(X=5)={6\choose 5}(0.25)^{5}(1-0.25)^{6-5}= 0.0044\)
6 \(P(X=6)={6\choose 6}(0.25)^{6}(1-0.25)^{6-6}= 0.0002\)
Compute the mean and standard deviation as follows:
\(\mu=np=6\times0.25=1.50\\\\\sigma=\sqrt{np(1-p)}=\sqrt{6\times 0.25\times (1-0.25)}=1.0607\)
Binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.
As we know that binomial probability distribution is given by
\(P(x) = ^nC_xp^x(1-p)^{n-x}\)
What is binomial distribution?The binomial distribution is a probability distribution that depicts the likelihood that a value will take one of two independent values under a given set of parameters.
Given n=6 & p=0.25
\(P(0) = ^6C_0(0.25)^0(1-0.25)^{6-0}\) = 0.1780
\(P(1) = ^6C_1(0.25)^1(1-0.25)^{6-1}\)=0.3560
\(P(2) = ^6C_2(0.25)^2(1-0.25)^{6-2}\) = 0.2966
\(P(0) = ^6C_3(0.25)^3(1-0.25)^{6-3}\) =0.1318
\(P(0) = ^6C_4(0.25)^4(1-0.25)^{6-4}\)=0.0330
\(P(5) = ^6C_5(0.25)^5(1-0.25)^{6-5}\)=0.0044
\(P(6) = ^6C_6(0.25)^6(1-0.25)^{6-6}\)= 0.0002
Mean = np
Mean = 6*0.25
Mean = 1.5
Standard deviation σ = \(\sqrt{np(1-p)}\)
σ = \(\sqrt{6*0.25(1-0.25)}\)
σ = 1.061
Hence, binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.
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Why is -x < 3 equivalent to x>-3? Explain.
The two expressions are equivalent because they both represent the same concept: a number that is less than 3 but negative. In the first expression, -x, the negative sign in front of the x indicates that the value of the expression is the opposite of x. So if x is a positive number, then -x will be a negative number, and vice versa. In the second expression, x > -3, the greater than sign indicates that the value of x is greater than -3. Since we know that x is negative, this means that x is less than -3.
Therefore, both expressions represent the same thing: a number that is less than 3 but negative. This is why they are equivalent.
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
if ΔQRS and ΔQWZ are similar, what is the length of QR, in units?
As the triangles are similar to each other, the length of QR= 20 units.
What are similar triangles?Triangles that have matching sides that are proportional to one another and corresponding angles that are equal to one another are said to be similar triangles. Triangles that are similar in appearance but differ in size. Generally speaking, congruent triangles and comparable triangles are not the same. We can determine whether two triangles are similar or not using a variety of techniques.
In the given figure the triangles are similar to each other,
So, (4x -1)/ (2x+1) = (4x-1+5) / (2x+1+3)
⇒ (4x-1) / (2x+1) = (4x+4) / (2x+4)
⇒ (4x-1) / (2x+1) = 4(x+1) / 2(x+2)
⇒ (4x-1) / (2x+1) = 2(x+1) / (x+2)
⇒ (4x-1) / (2x+1) = (2x+2) / (x+2)
Cross multiplying:
⇒ (4x-1) × (x+2) = (2x+2) × (2x+1)
⇒ 4x² + 8x - x - 2 = 4x² + 2x +4x +2
Simplifying the equation:
⇒ x = 4
So, QR = 4x - 1 + 5
= 4 × 4 -1 + 5
= 20 units.
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Solve.
log3 (2x + 5) = 3
Enter your answer in the box.
X = ?
Answer:
x = 11
Step-by-step explanation:
using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
given
\(log_{3}\) (2x + 5) = 3 , then
2x + 5 = 3³ = 27 ( subtract 5 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11
which values of x would make a polynomial equal to zero if the factors of the polynomial were (x+6) and (x+9)
Answer:
-6 and -9
Step-by-step explanation:
The values of x that would make a polynomial equal to zero if the factors of the polynomial were (x+6) and (x+9) are -6 and -9.
x+6=0 x+9=0
x=-6 x=-9
Answer:
The value of x that would make the polynomial equal to zero is -6.
Step-by-step explanation:
Ms. Son bought 5 cans of green beans and her total bill was $10.80. What was the price
per can
I
Answer:
5+10.80=15.8
Step-by-step explanation:
Find f(x) where f'(x) = 2x^4+4x^3-x/x^3
Answer:
\(\frac{2}{5}x^{5} +x^{4}+\frac{1}{x} + C\)
Step-by-step explanation:
Find the antiderivative of 2x^4+4x^3-x/x^3
\(\frac{2x^{4+1 } }{4+1}\) + \(\frac{4x^{3+1} }{3+1}\) +1/x + C
\(\frac{2}{5}x^{5} +x^{4}+\frac{1}{x} + C\)
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
Draw the polygon with the given vertices in a coordinate plane.
22).(-5,5),(-4,1) pls help
Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.
What are polygons?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.
What is a coordinate plane?A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.
Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.
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Slope is known as the run over the rise. True or False
Answer:
false. slope is calculated by rise over run
Answer:
FALSE
Step-by-step explanation:
Slope is known as the RISE OVER RUN.
Can I get brainliest? Plz!!!
Which letter(s) on the diagram below represents a radius of the circle?
Answer: AB
Step-by-step explanation:
Radius of a circle is defined as the distance from the center of a circle to its perimeter (the edge). Line AB is the only choice that meets this definition. CE is the diameter of the circle.
Answer:
AB
Step-by-step explanation:
radius goes in half the circle
Plz help I don’t know what to do it and I need a explanation for it
Answer:
A function is defined as an equation in which no x value has two y values. You can find the answer to this via the vertical line test. If you move a pencil across a graph and it does not touch the graph at two points, then it is a function. Utilizing this logic, the correct answer is yes, this is a function.
Step-by-step explanation:
50 points each question (visit profile for more). Please help. How do I solve?
Answer:
Check the image of solution
A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
P -5, 1 R 4,4..find the slope
Answer:
The slope between (-5,1) and (4,4) is 1/3
Step-by-step explanation:
When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.
For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.
Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.
Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.
(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)
Y/X = Rise/Run
Hope this helps! :)
Mrs.Josey and her family were taking a trip to Dallas to go to the Botanical Gardens.If the trip was a total of 350 miles one way and their car can go 20 miles on one gallon of gas, how many gallons will they need to make it to Dallas
The number of gallons of gas which Mrs. Josey and her family would need is; 17.5 gallons of gas.
How much gas is needed to make it to Dallas?It follows from the task content that the quantity of gas in gallons needed by Mrs. Josey and her family to make it to Dallas is to be determined.
Therefore, since one gallon of gas is enough for 20 miles, It follows that the amount of gas required for 350 miles can be determined by proportion as follows;
20/1 = 350/x
x = 350 / 20
x = 17.5 gallons of gas.
Ultimately, the amount of gas needed for Mrs. Josey and her family to make it to Dallas is; 17.5 gallons of gas.
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Asha ran a race in 20.7 seconds. Katie ran the same race 0.25 seconds faster. how fast did Katie run the race?
Hey there!
\(Answer:\boxed{20.95}\)
\(Explanation:\)
To find the answer, we can add up the time from both people.
\(20.7(20.70)+0.25=20.95\)
\(\boxed{20.95}\text{ is your answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)