Factor 24 j − 16 24j−1624, j, minus, 16 to identify the equivalent expressions.
Answers
Answer:
8(3j-2)
Step-by-step explanation:
Given the expression: 24j−16
We are required to factor the expression.
The GCD of 24 and 16 is 8. We therefore divide both terms of the expression by 8.
\(8(\dfrac{24j}{8}-\dfrac{16}{8})\\\\=8(3j-2)\)
An equivalent expression therefore is: 8(3j-2)
Related Questions
Find the coordinates of a point A whose distance from the origin (0, 0) is 5 units.
Answers
Answer:
Two examples of points that satisfy this condition is (0,5) and (0,-5).
Step-by-step explanation:
Suppose we have two points:
\(A = (x_{1}, y_{1})\)
\(B = (x_{2}, y_{2})\)
The distance between these points is:
\(D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)
In this question:
B(0,0)
A(x,y)
We have to find x and y.
We have that:
\(\sqrt{(x-0)^{2} + (y-0)^{2}} = 5\)
\(\sqrt{x^{2} + y^{2}} = 5\)
\((\sqrt{x^{2} + y^{2}})^{2} = 25\)
\(x^{2} + y^{2} = 25\)
One example of a point:
I will say that x = 0. So
\(0^{2} + y^{2} = 25\)
\(y = \pm \sqrt{25}\)
\(y = \pm 5\)
So two examples of points that satisfy this condition is (0,5) and (0,-5).
The distance formula is a formula that is used to find the distance between two points.
The coordinate of point A is (0, 5) or (0, -5).
Distance formula:Let us consider that, coordinate of point A is (x, y).
The distance between (0,0) and (x, y) is computed as by using distance formula.
\(Distance=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\5=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\x^{2} +y^{2}=25\)
All values that satisfies above equation, will be the coordinate of point A.
When x = 0,
\(y=\sqrt{25} =\pm 5\)
The coordinate of point A is (0, 5) or (0, -5).
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Can someone pls answer this because I only got 30 min with like 25 questions left
Answers
That’s really it
A principal of $600 earns 3.2% interest compounded monthly. What is the effective interest (growth) rate? (Hint: make the equation look like abt.) About how long does it take to reach $1000?
Answers
Answer:
Explanation:
The formula for calculating the effective interest rate is expressed as
R = (1 + i/n)^n - 1
where
R is the effective interest rate
i is the nominal rate
n is the number of compounding periods in a year
From the information given,
n = 12 because it was compounded monthly
i = 3.2% = 3.2/100 = 0.032
Thus,
R = (1 + 0.032/12)^12 - 1
R = 0.03247
Multiplying by 100, it becomes 0.03247 x 100
Effective interest rate = 3.25%
We would apply the formula for calculating compound interest which is expressed as
A = a(1 + r/n)^nt
where
a is the principal or initial amount
t is the number of years
A is the final amount after t years
From the information given,
A = 1000
a = 600
n = 12
We want to find t
By substituting these values into the formula, we have
1000 = 600(1 + 0.032/12)^12t
1000/600 = (1.00267)^12t
Taking natural log of both sides, we have
ln (1000/600) = ln (1.00267)^12t = 12tln(1.00267)
12t = [ln (1000/600)]/ln (1.00267) = 191.5758
t = 191.5758/12
t = 16
It takes 16 years for the amount to reach $1000
Can some pls help me with this!
Answers
THATS A LOT
Step-by-step explanation:
Determine the missing term to make these ratios equal:
5:11=25:
Answers
Answer:
5:11 = 25:55
Step-by-Step Explanation:
25/5=5
5*11=55
so 55 is the answer!
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answers
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Inso ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, how many gallons of ice cream can 4
machines make?
Answers
The gallons of ice cream 4 machines can make is 650 gallons.
How to find the number of gallons of ice cream 4 machine can make?Two ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:
Therefore,
If 2 ice cream machine = 320 gallons
4 ice cream machine = ?
cross multiply
Hence,
gallons of ice cream made by 4 machines = 320 × 4 / 2
gallons of ice cream made by 4 machines = 1280 / 2\
Therefore,
gallons of ice cream made by 4 machines = 640 gallons
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88,457 rounded to the nearest thousands place
Answers
Answer:
Hi there!
Your answer is:
88,000
Step-by-step explanation:
88457
The bolded is the thousands place
88457
457 is less than 500, so it's rounded down
88,000
Hope this helps
Answer:
88,000
Step-by-step explanation:
look at the thousands place then look at the number right next which is the right and if its 5 or up it will be 89,00 but if it is not 5 or up it stays the same but change 457 in to 0's.
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68
Answers
Answer:
The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 47
Standard deviation of 7
What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.
Between 47 and 68:
68 = 47 + 7*3
So 68 is three standard deviations of the mean.
Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So
0.5*0.997 = 0.4985
0.4985*100 = 49.85%
The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answers
Answer:
Step-by-step explanation:
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
Answers
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
y= 3/x+2-1 and y=3x+5 solve for x and y simultaneously
Answers
The value of x is -2 and y= -1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have the Equation, y= (x+ 2)-1 and y= 3x+ 5
Now, simplifying and solving the above equation we get
y= (x+ 2)-1
y= x + 1 and y = 3x + 5
So, 3x +5 = x+ 1
3x - x = 1- 5
2x = -4
x = -2
and, y= x + 1
y= -2+ 1
y= -1.
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The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
Answers
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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What is the exact length of HG in cms
Answers
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long
Geometry question. Calculate angle a, given that the hexagon is regular
Answers
Answer:
focusing is your key to get this
Step-by-step explanation:
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answers
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
The price of an item has dropped to$63 today.Yesterday it was $140.find the percentage decrease
Answers
Answer:
55% drop.
Step-by-step explanation:
To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.
Describe at least two differences between constructing parallel lines and constructing perpendicular lines.
Answers
By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.
What is the parallel lines?
Parallel lines are two lines in a plane that never intersect.
1. Orientation of Lines:
Parallel lines are lines that never intersect and remain equidistant from each other at all points.
When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.
On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.
2. Tools/Methods Used:
Constructing parallel lines and constructing perpendicular lines may require different tools or methods.
To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.
Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.
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a household consists of a married couple, their twin three-year-old sons, and their twin eight-year-old daughters. the couple's children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last year's tax return if they file with the "married filing jointly" status?
Answers
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
What is the meaning of "married filing jointly" tax status?If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.
For this problem, the exemptions are given as follows:
Two for the couple, as they use the "married filing jointly" status.A total of four for the children, one for each children, considering that they have two children.2 + 4 = 6.
Hence:
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
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Answer:
6
Step-by-step explanation:
simple 2+4=6
Please help me meeeeeee brainliest
Answers
Answer:
32cm
Step-by-step explanation:
Mustafa is staring at a pizza spinning on a wheel in a glass case.
The pizza is cut into four even slices. The distance P(t) (in cm) between the center of the tastiest looking
slice and the door of the glass case as a function of time t (in seconds) can be modeled by a sinusoidal
function of the form a cos(b. t) + d.
Att = 0, the center of the tastiest looking slice is farthest from the door, at a distance of 30 cm away,
After 2 seconds, it is closest to the door, at a distance of 10 cm.
Find P(t).
t should be in radians.
P(t)
Answers
Answer:
10cos(1/2*t)+20
Step-by-step explanation:
I got it right on Khan Academy
The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?
Answers
Answer:
Step-by-step explanation: 462 Divided by 24 = 19.25$
Proof: 19.25 x 24 = 462
Answer: 19.25$
Good morning! Please help me sort these out for math in the picture above ( I put letters in red so then you can just tell me where the letter goes under either possible or impossible)
Answers
Answer:
sorry hunny you on your own
3 What is the y-intercept of the line with the equation Y = 1/2 - x - 3?
a. -3
b. 6
c. -6
d. 1/2
Answers
Answer:
a. -3Step-by-step explanation:
Given Equation :
\(y = \frac{1}{2} x - 3\)
Which is in slope intercept form :
\(y = mx + b\)
Where :
m = slope
b = y-intercept.
Thus , in the given Equation , the y-intercept is -3
Please help, no links, please explain below
Answers
Answer:
A- mean
median/2 = 2,000
mean/4= 6,000
Step-by-step explanation:
A- mean would should the drastic difference in the salaries, which would help to justify why they want a raise.
B- median = 4,000. 4,000/2 = 2,000
C- mean = 24,000/4 = 6,000
let me know if you need more help :)
Determine which of the following is a geometric sequence.
A. 2, 5, 8, 11
B. 2, -6, -18, -24
C. 3, -6, 12, -24
D. 3, 6, 18, 36
Answers
Step-by-step explanation:
A is in geometric sequence as 3 is added in the number,
2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11
hope this answer helps you dear...take care and may u have a great day ahead!
The store clerk put b bottles of milk in the cooler, and 11 of the bottles are chocolate milk.
Choose the expression that shows the number of milk bottles that are not chocolate.
11
b- 11
b + 11
11b
Answers
Answer: b-11
Step-by-step explanation:
b= total number of milk
11= total number of chocolate milk
b - 11 = number of milks that aren't chocolate
95.4 as a mixed number
Answers
Answer:
95 and 2/5
Step-by-step explanation:
4/10= 2/5
95.4 in a mix number would be,
\(95 \frac{2}{5} \)
Write the following as an expression: How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% alcohol? The answer is an EXPRESSION, not an actual answer!! WILL MARK BRAINLIST!!!
Answers
Answer: \(\dfrac{11}{9}I\)
Step-by-step explanation:
Given
There is \(l\) liter of pure alcohol
Suppose \(x\) liters of water is added
After addition of water, alcohol becomes 45% in concentration
\(\Rightarrow \dfrac{l}{x+l}=45\%\\\\\Rightarrow \dfrac{I}{0.45}=x+I\\\\\Rightarrow \dfrac{20}{9}I-I=x\\\\\Rightarrow x=\dfrac{11}{9}I\)
Thus, \(\dfrac{11}{9}I\) of water is added to the pure alcohol.
As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the standard deviation of the data?
1.41
1.53
2.33
5
Answers
Answer:
B: 1.53
Step-by-step explanation:
The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)