Answer: c
Step-by-step explanation:
Answer:
Subtract both sides by 2x
Divide each side by 6
Step-by-step explanation:
2x+6 = 8x
Subtract both sides by 2x
2x+6 -2x = 8x-2x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x
write the equation of the line parallel to the y axis at a distance of 7 units form it to is left
Answer:
x = -7
Step-by-step explanation:
Two parallel lines are lines that never intersect each other.
The y-axis can be written as x = 0.
Then if we want a parallel line to this one, it must be something like x = b
such that b ≠ 0.
Now we want that the distance between our line and the line x = 0 is 7 units to the left
(remember that the left is the negatie side of the axis)
then we can write:
b - 0 = -7
b = -7
The parallel line is x = -7
7 Eva has 4 m of ribbon for wrapping gifts.
She needsm for each gift.
How many gifts can Eva wrap?
Answer: 6 gifts.
Step-by-step explanation:
I found the question elsewhere and it states that Eve needs 2/3 m for each gift.
Since Eve has 4 m, the number of gifts she can wrap is the 4 m she has divided by the 2/3 m required for each gift.
= 4 ÷ 2/3
= 4 × 3/2
= 12/2
= 6 gifts.
Note: When dividing by a fraction, you can multiply by it's inverse.
(-1,-4) and (3, 12) slope
Answer:
4
Step-by-step explanation:
y2 - y1 / x2 - x1
12 - (-4) / 3 - (-1)
16 / 4
4
Answer: slope is 4 so 4x
Step-by-step explanation:
you use the formula y1-y2/x1-x1 then make it a fraction. Then you get 16/4 and that simplifies to be 4
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
200,000,000,000
Step-by-step explanation:
10 to the 10th, you just add 10 zeros to the ends, and then multiple 2, which equals 200,000,000,000
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
C
Step-by-step explanation:
Line of symmetry
Standard automobile license plates in a country display 1 numbers, followed by 2 letters, followed by 4 numbers. How many different standard plates are possible in this system
There are 6,760,000 different standard license plates possible in this system.
To determine the number of different standard license plates possible in the given system, we need to consider the number of options for each component of the license plate.
1. Numbers (first digit): The first digit can be any number from 0 to 9, so there are 10 possible options.
2. Letters (2 letters): Each letter can be any uppercase letter of the alphabet.
There are 26 letters in the English alphabet, so there are 26 options for each letter. Since we have two letters, the total number of options for the letters is 26 * 26 = 676.
3. Numbers (4 digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit. Since we have four digits, the total number of options for the numbers is 10 * 10 * 10 * 10 = 10,000.
To find the total number of possible license plates, we multiply the number of options for each component:
Total number of license plates = (Number of options for numbers) * (Number of options for letters)* (Number of options for numbers)
Total number of license plates = 10 * 676 * 10,000
Total number of license plates = 6,760,000
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the cases are given in time order. prepare a time plot for the number of transfers. is any systematic pattern evident in your plot? discuss.
Yes, a systematic pattern is evident in the time plot for the number of transfers.
A time plot is a graphical representation of data over time. In this case, we have data on the number of transfers given in time order. By plotting the data on a graph with time on the x-axis and the number of transfers on the y-axis, we can visually analyze the pattern of transfers over time.
From the time plot, we can see that the number of transfers is increasing steadily over time, with a few small dips and spikes. This suggests that there is a systematic pattern of growth in the number of transfers.
the time plot for the number of transfers shows a systematic pattern of growth over time. This could be indicative of various factors, such as increased demand for transfer services, population growth, or changes in transportation infrastructure. Further analysis would be required to identify the specific factors driving this pattern.
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BRAINLIST ANSWER URGENT! What is wrong with the problem?
A. They should have canceled our factors to simplify at the end
B. They shouldn’t have combined like terms
C. They didn’t get common denominators
D. They needed to cancel out X’s
Answer:
The correct answer would be C they did not get common denominators
Step-by-step explanation:
You can only add fractions with common denominators for example you can not add 1/7 and 1/8 because the denominators are not equivalent.
I hope this helps you!!
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
4k + 12 = 52
using algbra
Answer:
k=10
Step-by-step explanation:
4k + 12= 52
minus 12 on both sides
4k=40
now divide by 4
k=10
Write a polynomial function of least degree with integral coefficients that has the given zeros.
-5, -3-2i
Answer:
\(f(x)=x^3+11x^2+43x+65\)
Step-by-step explanation:
If a polynomial function has a complex zero, then the conjugate of that complex zero is also a zero of the polynomial.
So, if (-3 - 2i) is a zero of the polynomial, then its conjugate (-3 + 2i) is also a zero of the polynomial.
Therefore, the three zeros of the polynomial function are:
-5(-3 - 2i)(-3 + 2i)The zero of a polynomial f(x) is the x-value when f(x) = 0.
According to the factor theorem, if f(a) = 0 then (x - a) is a factor of the polynomial f(x).
Therefore, the polynomial function in factored form is:
\(\begin{aligned}f(x) &= (x - (-5))(x-(-3-2i))(x-(-3+2i))\\&= (x +5)(x+3+2i)(x+3-2i)\end{aligned}\)
Expand the brackets to write the polynomial in standard form.
\(\begin{aligned}f(x) &=(x +5)(x+3+2i)(x+3-2i)\\&=(x+5)(x^2+3x-2xi+3x+9-6i+2ix+6i-4i^2)\\&=(x+5)(x^2+6x+9-4i^2)\\&=(x+5)(x^2+6x+9-4(-1))\\&=(x+5)(x^2+6x+9+4)\\&=(x+5)(x^2+6x+13)\\&=x^3+6x^2+13x+5x^2+30x+65\\&=x^3+11x^2+43x+65\end{aligned}\)
Therefore, the polynomial function of least degree with integral coefficients that has the given zeros -5 and (-3 - 2i) is:
\(f(x)=x^3+11x^2+43x+65\)
f(x)=x3+11x²+43x+65
Find the value of x in the trapezoid below. Type only the numerical answer.
The value x of the trapezoid is 3 units.
How to find the side of a trapezoid?A trapezoid is a quadrilateral with at least one pair of parallel sides .
The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
The midsegment of a trapezoid is parallel to each base, and its measure is half the sum of the lengths of the bases.
Therefore,
29 = 1 / 2 × (23 + 11x + 2)
29 = 1 / 2 × (25 + 11x)
cross multiply
29 × 2 = 25 + 11x
58 = 25 + 11x
58 - 25 = 11x
33 = 11x
divide both sides by 11
x = 33 / 11
x = 3
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An airplane covered the ff. distances in three separate trips.
Hongkong-Manila: 1116 kilometers
Singapore-Manila: 2391 kilometers
Korea-Manila: 2601 kilometers
A. What is the average distance traveled by the airplane in the three trips?
B. If the airplane travels with an average speed of 760km/h, how long will it take the airplane to travel in each flight? which trip took the longest time to travel?
The average distance that the airplane covered in three flights is = 2036 kilometers,
From Hong Kong to Manila travel time is = 1.468 hours,
From Singapore to Manila travel time is = 3.146 hours,
From Korea to Manila travel time is = 3.422 hours and the trip from Korea to Manila took longest time to travel.
The distance a plane traveled over three separate trips:
Hongkong-Manila : 1116 kilometers,
Singapore-Manila : 2391 kilometers,
Korea-Manila : 2601 kilometers.
We must determine the average distance covered by the aircraft over the course of the three journeys, the time required for each trip if the aircraft is traveling at 760 km/h, and the trip that took the longest.
The average distance flown by the aircraft across the three trips
= \(\frac{1116+2391+2601}{3}\)
= \(\frac{6108}{3}\)
= 2036 kilometers
We know that,
Speed = distance/time.
So,
We can write,
Time = Distance/speed
From Hong Kong to Manila travel time = 1116/760
= 1.468 hours
From Singapore to Manila travel time = 2391/760
= 3.146 hours
From Korea to Manila travel time = 2601/760
= 3.422 hours
We can observe that the trip from Korea to Manila took longest time to travel.
Therefore,
The average distance that the airplane covered in three flights is 2036 kilometers,
From Hong Kong to Manila travel time is 1.468 hours,
From Singapore to Manila travel time is 3.146 hours,
From Korea to Manila travel time is 3.422 hours and the trip from Korea to Manila took longest time to travel.
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Let f(x) = x2 + 3x − 4 and g(x) = x + 5. Find f(x) ⋅ g(x).
x3 + 3x2 + 16x − 20
x3 + 5x2 + 14x − 20
x3 + 8x2 + 11x − 20
x3 + 9x2 + 19x − 20
The value of function f(x) ⋅ g(x) is,
⇒ x³ + 3x² + 16x - 20
What is Function?A relation between a set of inputs having one output each is called a function.
We have to given that;
The functions are,
⇒ f (x) = x² + 3x − 4 and g(x) = x + 5.
Hence, The value of function f(x) ⋅ g(x) is,
⇒ f(x) ⋅ g(x) = (x² + 3x − 4) × (x + 5)
= x³ + 5x + 3x² + 15x - 4x - 20
= x³ + 3x² + 16x - 20
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What is the difference between a discrete function and a continuous function? Give examples of both
A discrete function is defined on distinct values, while a continuous function is defined on a continuous interval. Discrete functions consist of isolated points, while continuous functions can take on any value within a given range.
The main difference between a discrete function and a continuous function lies in the nature of their domains and ranges. A discrete function is defined on a set of distinct, separate values, while a continuous function is defined on a continuous interval or range of values.
A discrete function can be thought of as a function that consists of isolated points. For example, let's consider a function that represents the number of students in a classroom over the years. The domain of this function would be the set of discrete values representing each year, such as {2010, 2011, 2012, ...}. The range would be the set of corresponding numbers representing the number of students in the classroom each year.
On the other hand, a continuous function is one that can take on any value within a given interval. For instance, consider a function that represents the temperature in a room over time. The domain of this function would be a continuous interval, such as [0, 24] representing the 24-hour day. The range would be the set of possible temperature values within that interval.
To summarize, a discrete function is defined on distinct values, while a continuous function is defined on a continuous interval. Discrete functions consist of isolated points, while continuous functions can take on any value within a given range.
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if tan t =3/4 and pii csc t, and cot t
Given that tan(t) = 3/4, we can calculate the values of csc(t) and cot(t) as follows:
csc(t) = 1/sin(t) = 1/sqrt(1 + cot^2(t)) = 1/sqrt(1 + (1/tan^2(t))) = 1/sqrt(1 + (1/(3/4)^2)) = 1/sqrt(1 + 16/9) = 1/sqrt(25/9) = 3/5
cot(t) = 1/tan(t) = 1/(3/4) = 4/3
We are given that tan(t) = 3/4, which means that the ratio of the length of the side opposite angle t to the length of the adjacent side is 3/4. From this information, we can find the values of csc(t) and cot(t).
To calculate csc(t), we use the reciprocal identity csc(t) = 1/sin(t). Since we know that tan(t) = 3/4, we can use the Pythagorean identity sin^2(t) + cos^2(t) = 1 to find sin(t) and then compute csc(t).
Using the given tan(t) = 3/4, we can find sin(t) = 3/5 and cos(t) = 4/5. Plugging these values into the Pythagorean identity, we have (3/5)^2 + (4/5)^2 = 1, which is true. Therefore, sin(t) = 3/5.
Next, we calculate csc(t) using the reciprocal identity: csc(t) = 1/sin(t) = 1/(3/5) = 5/3 = 3/5.
To find cot(t), we use the reciprocal identity cot(t) = 1/tan(t). From the given tan(t) = 3/4, we have cot(t) = 1/(3/4) = 4/3.
In summary, when tan(t) = 3/4, we find that csc(t) = 3/5 and cot(t) = 4/3.
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a) Work out the value of (√√5)²x (√√3)²?
b) Work out the value of (9)** (√√30)?
Answer:
15 and 270
Step-by-step explanation:
using the property of radicals
(\(\sqrt{x}\) )² = x and (\(\sqrt[3]{x}\) )³ = x
then
(\(\sqrt{5}\) )² × (\(\sqrt{3}\) )² = 5 × 3 = 15
(\(\sqrt[3]{9}\) )³ × (\(\sqrt{30}\) )² = 9 × 30 = 270
In science class, Victor started an experiment using a solution with a temperature of
–
5°C. During the experiment, the change in the solution's temperature was
–
4°C. What was the final temperature of Victor's solution?
To solve the problem, Antonio added
–
5+(
–
4) and came up with an answer of
–
9°C. Is Antonio correct? Why or why not?
An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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help me..........
only 12......
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the image above
whitch inequality represents this situation
Option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
The given rectangle is ABCD.
The length of segment AB is 9x-16 units
The length of segment AD is 1.5x+42 units
We have to find the inequality which represents the length of segment AB is greater than length of segment AD
> is the symbol used to represent greater than
AB>AD
9x-16>1.5x+42
Hence, option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
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1) Erik has a job at Hobby Lobby and he
makes $13 an hour. If he works for 6
hours on Saturday, how much will he
make that day?
Answer:
78
Step-by-step explanation:
is there more to this problem?
13. 00* 6 = 78
Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.
The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
What is the sequence converges or diverges?A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
The given sequence is 1/117659, 1/16807, 1/2401...
Here, common ratio is
1/16807 ÷ 1/117659
= 1/16807 × 117659/1
= 117659/16807
= 7
Now, 1/2401 ÷ 1/16807
= 1/2401 × 16807/1
= 16807/2401
= 7
Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
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A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoe's is -4.8 meters. The equation 12 + d = -4.8 represents this situation.
Answer:
4.8x345+338283
Step-by-step explanation:
Please help!! Use the vertical line test to determine if each graph shows a relation that is a function.
A 12-pack of Cokes costs $5.40. How much does each Coke cost?
Answer:
$0.45
Step-by-step explanation:
$5.40/12 = $0.45
If A 12-pack of Cokes costs $5.40 then each Coke costs $0.45.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Cost of 12- pack of Cokes = $5.40.
To find the cost of one Coke cost,
Use ratio property,
12 packs of cakes = $5.40
1 pack of cakes = 5.40/12
1 pack of cake = 0.45
The price of one pack of cake is $0.45
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A line that includes the points (5,6) and (6,v) has a slope of –9. What is the value of v?
Based on the given task content; the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
How to find the value of v from the given points and slope?Slope refers the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5
y₁ = 6
Point 2( 6,v )
x₂ = 6
y₂ = v
Substitute the given values into the formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )-9
= ( v - 6 ) / ( 6 - 5 )-9
= ( v - 6 ) / ( 1 )
Cross multiply-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Therefore, the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
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The numerical value of v in the coordinates of a line that passes through (5,6) and (6,v) with a slope of –9 is -3
What is the numerical value of v?Slope is simply the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5y₁ = 6Point 2( 6,v )
x₂ = 6y₂ = vPlug the given values into the slope formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
-9 = ( v - 6 ) / ( 6 - 5 )
-9 = ( v - 6 ) / ( 1 )
Cross multiply
-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Given the slope and coordinates of the two points of the line, the numerical value of v is -3.
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How many milliliter in 1 microliter?
From the given information provided, by converting the units there are 0.001 milliliters in 1 microliter.
This means that if you have 1 microliter of liquid, it is equal to 0.001 milliliters of liquid.
The conversion factor between milliliters (mL) and microliters (μL) is:
1 mL = 1000 μL
Therefore, to convert microliters to milliliters, you divide the number of microliters by 1000.
For example, if you have 500 μL of liquid, you can convert it to milliliters by dividing 500 by 1000:
500 μL / 1000 = 0.5 mL
So, 500 microliters of liquid is equal to 0.5 milliliters of liquid.
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Determine if the relation is a function. Explain and
justify your answer.
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
An environmental charity set a target to plant trees on 9000 m² of land in
September.
In September, it planted trees on 0.017 km² of land.
4
a) What area of land did the charity plant trees on? Give your answer in m²
b) Did it reach its target?
The area of land the charity planted was 17000 m². The charity met its target
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
1 km = 1000 m
1 km² = 1000000 m²
An environmental charity set a target to plant trees on 9000 m² of land in September.
In September, it planted trees on 0.017 km² of land. Hence:
Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²
17000 m² is greater than 9000m². The charity met its target
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