Simplify the expression
\(\\ \sf\longmapsto -3x-4=-5y-8\)
\(\\ \sf\longmapsto 3x+4=5y+8\)
\(\\ \sf\longmapsto 3x-5y=4\)
\(\\ \sf\longmapsto 3x=5y+4\)
\(\\ \sf\longmapsto x=\dfrac{5y+4}{3}\)
X intercept:-
Now
Take y =0\(\\ \sf\longmapsto x=\dfrac{5(0)+4}{3}\)
\(\\ \sf\longmapsto x=\dfrac{4}{3}\)
Hence.
\(\\ \sf\longmapsto x=\left(\dfrac{4}{3},0\right)\)
Y intercept
Take x=0\(\\ \sf\longmapsto y=\dfrac{3x-4}{5}\)
\(\\ \sf\longmapsto y=\dfrac{3(0)-4}{5}\)
\(\\ \sf\longmapsto y=\dfrac{-4}{5}\)
Hence
\(\\ \sf\longmapsto y=\left(0,\dfrac{-4}{5}\right)\)
The intercepts of the given line is equal to (0, \(\frac{-4}{5}\)) and (\(\frac{4}{3}\), 0).
Given the following data:
\(-3x - 4 = -5y - 8\)To determine the intercepts of the given line:
How to calculate the intercepts of a line.First of all, we would simplify the given equation of line as follows:
\(-3x - 4 = -5y - 8\\\\5y=3x+4-8\\\\5y=3x-4\\\\y=\frac{3x}{5} -\frac{4}{5}\)
When x = 0, y-intercept equals:
\(y= \frac{3(0)-4}{5} \\\\y= \frac{0-4}{5} \\\\y= \frac{-4}{5}\)
y-intercept = (0, \(\frac{-4}{5}\))
When y = 0, x-intercept equals:
\(x= \frac{5y+4}{3} \\\\x= \frac{0+4}{3} \\\\x= \frac{4}{3}\)
x-intercept = (\(\frac{4}{3}\), 0)
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(-2 , -8) 3 units left and 5 units up
Answer:
(-5, -3)
Step-by-step explanation:
x = -2 + (-3)
x = -5
-----------------
y = -8 - (5)
y = -3
Find the next two terms in this
sequence.
4, 8, -16, -32, 64, [? ], [ ]
Next two terms of the sequence 4, 8, -16, -32, 64, ?, ? are 128 and -256.
How to solve question in sequence?
Every sequence has certain logic which can be used to find next terms.
Mainly operations like addition, subtraction, multiplication, squares and cubes are used to find the logic.
Trial and error method is applied to comprehend the logic of sequence.
4, 8, -16, -32, 64, A, B.
According to the given question, the sequence can be split in two separate sequences by taking alternate terms -
1) 4, -16, 64, B
2) 8, -32, A
Now clearly the logic is:
Next term is obtained by multiplying the previous term with -4.
Let's check 4x(-4) = -16x(-4) = 64
∴ B = 64x(-4) = -256
Similarly, 8x(-4) = -32
∴ A = -32x(-4) = 128
Hence completed sequence is 4, 8, -16, -32, 64, 128, -256.
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i need help whit this
Answer:
I think B I don't know really but am pretty sure if am right give me big brain
I need help with this answer can you plz help
Please help y’all!!!!!!!!
Answer:
17x
Step-by-step explanation:
given forecast errors of -1, 4, 8, and -3, what is the mean absolute deviation? group of answer choices 2 16 3 8 4
Answer:
4
Step-by-step explanation:
Help with this 10th grade geometry problem? It's for applications of SA and volume work, will reward brainly
Answer: 340
Step-by-step explanation:
Answer:
340 in²
Step-by-step explanation:
The total surface area of the composite figure can be considered to be the sum of the surface area of the rectangular prism base and the lateral surface area of the cylinder. Effectively, the hidden area at the interface between the two shapes is translated to the top of the cylinder, where it is visible again.
__
prism areaThe area of a rectangular prism is given by the formula ...
A = 2(LW +H(L +W))
Using the given dimensions, we find the area of the rectangular prism base to be ...
A = 2((9 in)(9 in) +(3 in)(9 in +9 in)) = 2(81 +3(18)) in² = 270 in²
Since the bottom area will not be painted, we can subtract its area of 81 in².
prism area = 270 in² -81 in² = 189 in²
__
cylinder areaThe lateral area of the cylinder is the product of its circumference and height.
A = 2πrh
A = 2(3.14)(4 in)(6 in) = 150.72 in² . . . . lateral area
__
total surface areaThe painted area is the sum of the areas just computed:
painted area = prism area + cylinder area
= 189 in² +150.72 in² = 339.72 in² ≈ 340 in²
To the nearest square inch, the amount of paint needed is that required to cover an area of 340 in².
In which number is the value of 2 ten times the value of the 2 in 37.632?
There is no number in which the value of the 2 is ten times the value of the 2 in 37.632.
To find the number in which the value of 2 is ten times the value of the 2 in 37.632, we need to examine the place value of the 2 and compare it to other numbers in the given decimal number.
In the number 37.632, the place value of the first 2 is in the tenths position, and the place value of the second 2 is in the hundredths position.
To determine the number in which the value of the second 2 is ten times the value of the first 2, we need to look at the digits that come after the second 2, specifically the thousandths and beyond.
In this case, the digit immediately following the second 2 is 6. To determine if it is ten times the value of 2, we compare it to 2 multiplied by 10.
2 * 10 = 20
Since 6 is not equal to 20, we can conclude that the value of 2 in 37.632 is not ten times the value of the second 2.
Therefore, there is no number in which the value of the 2 is ten times the value of the 2 in 37.632.
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1.86 x 10 and 1.86 x 100. I need the solving steps please
Answer: I don't know if this would be helpful, but in this case, you can really just move the decimal point to the right the amount of times you see a zero in what you are multiplying it by. 1.86 x 10 = 18.6 , 1.86 x 100 = 186
Step-by-step explanation:
Sorry if its not helpful im trying..
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
speed of boat is 35 mph
speed of river is 5mph.
Step-by-step explanation:
Let the speed of boat be u mph
let the speed of river be v mph
When boat travel downstream
in that case flow of river will support the speed of boat hence
speed of river will be added to speed of boat
Thus,
speed of boat in downstream = speed of boat + speed of river = u + v
Given
the boat travels at 40 mph downstream
thus,
u + v = 40 -----1
When boat travel upstream
in that case flow of river will oppose the speed of boat hence
speed of river will be subtracted from speed of boat
Thus,
speed of boat in downstream = speed of boat -speed of river = u - v
Given
the boat travels at 30 mph upstream
thus,
u - v = 30 ----2
adding 1 + 2
we have
u + v = 40
+ u - v = 30
2u = 70
u = 70/2 = 35
Thus,
speed of boat is 35 mph
using u = 35 in u + v = 40
we have
35 + v = 40
v = 40 - 35 = 5
Thus, speed of river is 5mph.
Vanderbilt the creations is designing a tile pattern for the lobby in the national headquarters of veterans of foreign wars in Kansas City the design is a regular heptagon with a 30 foot diameter that has a statue of a kneeling soldier in the center. Determine the distance from the kneeling soldier to one of the berries of the heptagon
Answer:
5
Step-by-step explanation:
At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie
is creating a scale model of this building, using the scale factor 1 : 250.
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
Answer:
At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of this building, using the scale 250 meters : 1 meter
So, that is 212/250 = 0.848. The answer in nearest tenth of a meter is 0.8
If 0 < c < d, then find the value of b (in terms of c and d) for which integral_c^d (x + b)dx = 0
To find the value of b (in terms of c and d) for which the integral from c to d of (x + b)dx is equal to zero, we can solve the integral equation.
The integral of (x + b) with respect to x is given by (1/2)x^2 + bx, and we need to evaluate it from c to d. So the integral equation becomes:
(1/2)d^2 + bd - (1/2)c^2 - bc = 0
To solve for b, we can simplify the equation and rearrange it. First, we combine like terms:
(1/2)(d^2 - c^2) + b(d - c) = 0
Next, we can factor out (d - c) from the equation:
(1/2)(d - c)(d + c) + b(d - c) = 0
Now we can divide both sides of the equation by (d - c):
(1/2)(d + c) + b = 0
Finally, solving for b, we have:
b = -(1/2)(d + c)
Therefore, the value of b in terms of c and d that makes the integral equal to zero is -(1/2)(d + c).
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what's x in 2x+1=11
Answer:
5
Step-by-step explanation:
5*2=10
10+1=11
Answer:
2x - 1 = 11
2x = 11 + 1
2x = 12 (divide both sides by 2 to get x)
2x/2 = 12/2
x = 6
Step-by-step explanation:
im not 100% sure
Solve the simultaneous equations:
3x + 2y = 35
2x + 3y = 30
Answer:
nuber 1
Simplifying
3x + 2y = 35
Solving
3x + 2y = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = 35 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = 35 + -2y
3x = 35 + -2y
Divide each side by '3'.
x = 11.66666667 + -0.6666666667y
Simplifying
x = 11.66666667 + -0.6666666667y
Which three lengths could be the lengths
of the sides of a triangle?
A. 4 cm, 8 cm, 13 cm
B. 13 cm, 11 cm, 23 cm
C. 5 cm, 18 cm, 12 cm
D. 25 cm, 8 cm, 16 cm
Given:
The three lengths in the options.
To find:
Which three lengths could be the lengths of the sides of a triangle?
Solution:
If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.
In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.
Sum of two smaller sides is:
\(4+8=12\)
\(4+8<13\)
So, the triangle is not possible.
In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.
Sum of two smaller sides is:
\(13+11=24\)
\(13+11>23\)
So, the triangle is possible.
In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.
Sum of two smaller sides is:
\(5+12=17\)
\(5+12<18\)
So, the triangle is not possible.
In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.
Sum of two smaller sides is:
\(8+16=24\)
\(8+16<25\)
So, the triangle is not possible.
Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.
image below i will give brainliest
Answer:
60 degrees
Step-by-step explanation:
First of all, we have to set up an equation to solve this. The angles of a triangle add up to 180 degrees. We need to find the internal angle of C, which would be 180-(10x-45).
For our equation, we can set 3x+4x+[180-(10x-45)] equal to 180.
Add like terms:
7x+[180-(10x-45)] = 180
Distribute:
7x+180-10x+45 = 180
Add like terms once again:
-3x+225 = 180
Subtract 225 on both sides:
-3x = -45
Divide by -3 on both sides:
x = 15
Plug in 15 for x in the value 4x:
<B = 60 degrees
Identify the following variable as either qualitative or quantitative and explain why.
The number of people on a jury
A. Quantitative because it consists of a count B. Qualitative because it is not a measurement or a count
A. The number of people on a jury is a quantitative variable because it consists of a count.
In the context of data analysis, variables can be classified as either qualitative or quantitative. Qualitative variables are categorical in nature and represent qualities or attributes that cannot be measured or expressed numerically. On the other hand, quantitative variables represent quantities or measurements that can be expressed in numerical form.
The number of people on a jury is a quantitative variable because it can be measured and expressed as a count. Each jury has a specific number of members, such as 12 individuals for a standard jury. This count allows for quantitative analysis and statistical operations to be performed on the variable. Therefore, the number of people on a jury falls under the category of a quantitative variable.
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what is “the product of 4 and a
number w is 8” translated ?
Answer:
4w = 8
Step-by-step explanation:
Product is multiply
Is means equals
4w = 8
the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 520 hours. find the probability of a bulb lasting for at most 549 hours. round your answer to four decimal places.
Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.
Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.
To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).
The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.
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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%
Explanation:Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.
To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.
We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.
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Jimmy wants to buy socks that cost $20.
How much change does he receive if he
gives the cashier $100?
Answer:
80
Step-by-step explanation:
100-20=80
Answer:
He receives $80 in change.
Step-by-step explanation:
Simple Math.
literally can no one help, i said id give brainliest and anything u need, i jst want all of it answered
maple syrup is begin pumped into a cone shpaed vat in a factory at a rate of six cuic feet per minute. the cone has a radius of 20 feet and a height of 30 feet. how fast is the maple syrup level increaseing when the syrup is 5 feet deep?
The maple syrup level is increasing at a rate of approximately 0.0143 feet per minute when the syrup is 5 feet deep.
To find the rate at which the maple syrup level is increasing when the syrup is 5 feet deep, we can use the concept of related rates and the formula for the volume of a cone.
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the cone's base and h is the height.
In this case, the radius of the cone is 20 feet, and the height is changing with time. Let's denote the changing height as dh/dt (the rate at which the height is changing over time).
We are given that the syrup is being pumped into the vat at a rate of 6 cubic feet per minute, which means the volume is changing at a rate of dV/dt = 6 cubic feet per minute.
We want to find dh/dt when the syrup is 5 feet deep. At this point, the height of the cone is h = 5 feet.
Using the formula for the volume of a cone, we have V = (1/3) * π * r^2 * h. Taking the derivative of both sides with respect to time, we get:
dV/dt = (1/3) * π * r^2 * (dh/dt).
Substituting the given values and solving for dh/dt, we have:
6 = (1/3) * π * (20^2) * (dh/dt).
Simplifying the equation, we find:
dh/dt = 6 / [(1/3) * π * (20^2)].
Evaluating this expression, we can find the rate at which the maple syrup level is increasing when the syrup is 5 feet deep.
dh/dt = 6 / [(1/3) * 3.14 * 400] ≈ 6 / (0.3333 * 1256) ≈ 6 / 418.9 ≈ 0.0143 feet per minute.
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Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)
Answer:627.072
Step-by-step explanation:
select the appropriate reagents for the transformation at −78 °c.
For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.
What reagents are suitable for -78 °C transformations?At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.
Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.
The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.
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History suggests that scores on the Math portion of the SAT are
normally distributed with a mean of 529 and a variance of 5732.
History also suggests that scores on the Verbal portion of the
SAT are normally distributed with a mean of 474 and a variance
of 6368. Select two students at random. Let X denote the first
student's Math score, and let Y denote the second student's
Verbal score. What is P(X-Y>O)?
Because X and Y are independent variables and identically distributed, we can conclude that P(X-Y>0) = P(X>Y) which comes out with a value of 1 /2.
The difference between two normally distributed random variables is also normally distributed with a mean equal to the difference of the means and a variance equal to the sum of the variances.
Therefore, X-Y is normally distributed with a mean of:
529 - 474 = 55, and a variance of
5732 + 6368 = 12100. Thus,
P(X-Y>0) = P(X>Y) =1 /2
since X and Y are independent and identically distributed.
A change-causing variable is an independent variable, while a dependent variable is a change's outcome or impact.
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directions: for each of the scenarios solve the problem and show your work (set up the numbers in the equation). make sure you use units in the answer!
To explain further for each of the scenarios on how to solve the problem and show your work (set up the numbers in the equation) is given under.
How to solve an equation?How many two-apple combos can you create when you have three apples?
We may use the following combination equation to solve this problem: C(n, k) is equal to n! / (k! * (n-k)!. In this instance, the number of apples is n=3, and k=2 apples in each combination). With these values entered into the formula, we obtain:
C(3, 2) = 3! / (2! * (3-2)!) = 3 / 2 = 1.5
Given that a combination is a collection of things chosen without respect to their order, the solution to this puzzle is 1.5. However, because you cannot eat half an apple, the real number of combinations of two apples that may be formed is one.
How many possible combinations of two novels can you create if you have four?
C(n, k)=n!/(k!*(n-k))!
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Please help me with the math questions!!!
1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?
2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?
3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?
4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?
5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?
6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?
7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?
Answer:
#1. $308.28
#2. $48,004.80
#3. $19,361.91
#4. $20,306.31
#5. $130.00
#6. $206.38
#7. $337.57
Step-by-step explanation:
All rounded to the near tenths place
and i just did this same assignment rn
Write an inequality
I can work at most 30 hours per week
Answer:
\( h \le 30 \)
Step-by-step explanation:
Let h = number of hours of work.
At most 30 hours means 30 hours or less.
\( h \le 30 \)
please help me will give brainliest
Answer:
82°
Step-by-step explanation:
\( \triangle ABC\sim \triangle PQR... (given) \)
\( \therefore m \angle Q = m \angle B... (cast) \)
Therefore,
8x + 50 = 3x + 70
8x - 3x = 70 - 50
5x = 20
x = 20/5
x = 4
\( m \angle Q \) = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°