Answer:
Step-by-step explanation:
-2y³ + 4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²
= -2y³ + 2y³ +5y² + y + 4 + 3 {combine like terms}
= 5y² +y + 7
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
How many possible outcomes do you have when you role 4 dice
Answer:
1296
Step-by-step explanation:
6^4
simplify the expression (11-5i) - (12+2i)
Answer:
= -(1+7i)
Step-by-step explanation:
(11-5i)-(12+2i)11-5i-12-2i11-12-5i-2i-1-7i-(1+7i)hope it helps stay safe healthy and happy....solve for x -3x+2=-11 please
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
[tex]: \implies[/tex] x - 3x + 2 = -11
[tex]: \implies[/tex] -2x = -11 -2
[tex]: \implies[/tex] -2x = -13
[tex]: \implies[/tex] x = -13/-2
[tex]: \implies[/tex] x = 6.5
Answer:
x = 6.5
Step-by-step explanation:
[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]
7x-49=y
Solve for x?
The solution for x is x = (y + 49)/7.
Given that an equation 7x - 49 = y, we need to determine the equation in for of x,
To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 7x - 49 = y.
Add 49 to both sides of the equation to isolate the term with x:
7x = y + 49.
Divide both sides of the equation by 7 to solve for x:
(7x)/7 = (y + 49)/7.
Simplify:
x = (y + 49)/7.
Therefore, the solution for x is x = (y + 49)/7.
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PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
Help me with this....After drawing a histogram....How do u find the class in which the median lies in a histogram....
Answer:
Get all the values of the histogram and put them in order:
For example 2,5,7,1,7,3 becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5
Then see which of the readings lie on 3.5.
Step-by-step explanation:
9514 1404 393
Explanation:
The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.
Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.
Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.
__
If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.
__
There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:
class 1: count 3
class 2: count 5
class 3: count 4
class 4: count 4
Total count: 3+5+4+4 = 16. Median index = 16/2 = 8
Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.
__
2nd example
Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.
Identify the coefficient, variable, and exponent of the monomial: 4y3
Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
Which segment is adjacent to∠N?
Answer:
SN
Step-by-step explanation:
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
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15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
help i’m so confused
Answer:
-27/7
Step-by-step explanation:
put x into the equation
solve (algebra 1)− 0.32 + 0.18 = 0.25 − 1.95
Answer:
0.50=1.7. They do not equal each other
Step-by-step explanation:
Thats what I got from this question
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answer:i don’t know
Step-by-step explanation:i don’t know
Which fraction is the largest? 7/9 3/4 1/2 2/3
Rewrite the fractions as decimals by dividing:
7/8 = 0.7777
3/4 = 0.75
1/2 = 0.5
2/3 = 0.666
0.777 is the largest number so 7/9 is the largest fraction.
Answer: 7/9
Answer:
2/3
Step-by-step explanation:
L.C.M:36
7/9:28/36
3/4:27/36
1/2:1836
2/3:36/36
In the description of the following experiment, determine the experimental factor. A research team is testing a paste form of a drug to alleviate inflammation. Participants are grouped into Team A and Team B. Team A receives the paste form of the drug. Team B receives a similar paste with no active ingredients.
Answer:
The experimental factor is the drug to alleviate inflammation paste form
Step-by-step explanation:
An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically
In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)
Team A is administered the paste form of the drug being experimented
Team B is administered a similar paste with no active ingredient
Therefore, the experimental factor is the drug being administered in paste form
What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20
Answer:
d. 20
Step-by-step explanation:
28 ÷ (100%+40%)
= 28 ÷ 140%
= 28 ÷ 1.4 = 20
Answer:
option d
Step-by-step explanation:
Let the number be x
40% of x = 0.40x
Increased by 40% = 28
That is ,
x + 0.40x = 28
1.40x = 28
[tex]x = \frac{28}{1.40}\\[/tex]
[tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]
Therefore, the number is 20
Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
pada hari kantin sebanyak 800 naskah kupon telah dijual,harga senaskah kupon masing masing rm 30 dan rm 50 .jumlah wang diperoleh hasil daripada jualan kupon ialah rm30000.berapa naskah kupon rm30 dan rm50 yang telah dijual?
Answer:
Step-by-step explanation:
On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?
Let:
RM 30 = x
RM 50 = y
x + y = 800 - - - (1)
30x + 50y = 30000 - - - (2)
From (1)
x = 800 - y
Put x = 800 - y in (2)
30(800 - y) + 50y = 30000
24000 - 30y + 50y = 30000
24000 + 20y = 30000
20y = 30000 - 24000
20y = 6000
y =
Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
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write a equation for y=|x| if the graph is translated right by 3 units and down by 1 unit
Answer:
y=|x -3| -1
Step-by-step explanation:
People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?
Step-by-step explanation:
dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd
Answer:
290 foils
Step-by-step explanation:
145,000÷500=290
The distance traveled (in meters) by an insect is modeled by the equation d=0.5t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 27.9 minutes.
A. none of these
B. 13.95 meters
C. 55.8 meters
D. 1.395 meters
Answer:
B. 13.95 meters
Step-by-step explanation:
The question is just asking you to talk the amount of time taken, and divide it in half.
d= 0.5(27.9)
After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample
Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
If px-3+qx+1=2x+3,Find the value of p+q
Find the intersection point between the lines of equations:
2x-y+6=0 and 2x+3y-6=0
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]
On subtracting the given equations we have,
[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]
Put this value in any equation , we have ,
[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]
Hence the lines will Intersect at ,
[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]
for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x = − 3 /2 y+ 3 and y= − 2 /3 x + 2
how i did this Step 1: Add -3y to both sides.
Step 2: Add 6 to both sides.
Step 3: Divide both sides by 2.
solve for y
[tex]2y - 3 = \sqrt{ {3y}^{2} - 10y + 12} [/tex]
absurd answers will be reported!!
Answer:
y = 3
Step-by-step explanation:
2y - 3 = [tex]\sqrt{3y^2-10y+12}[/tex]
square both sides to remove sqrt bracket
(2y - 3)^2 = ( [tex]\sqrt{3y^2-10y+12}[/tex] )^2
simplify both sides
(2y - 3)(2y - 3) = [tex]3y^2[/tex] - 10y + 12
[tex]4y^2[/tex] - 12y + 9 = [tex]3y^2[/tex] - 10y + 12
bring all value to left side
[tex]y^2[/tex] - 2y - 3 = 0
factor
(y - 3)(y + 1)
solve for y
y = 3, y = -1
When plugged back into the equation, only y = 3 is true
Answer:
y = 3
Step-by-step explanation :
[tex]2y - 3 = \sqrt{ 3y² - 10y + 12} [/tex]
Swap the sides both of the equation.
[tex]\sqrt{ 3y² - 10y + 12} = 2y - 3 [/tex]
To remove the brackets of equations square both side and simplify .
3y² - 10y + 12 = 4y² - 12y + 9
Move the expression to left-hand side and change its sign.
3y² - 10y + 12 - 4y² + 12y - 9 = 0
collect like terms
3y² - 4y² - 10y + 12y + 12 - 9 = 0
-y² + 2y + 3 = 0
Change the sign of expression. because it helps to solve.
y² - 2y - 3 = 0
Splits the term -2y
y² + y -3y - 3 = 0
Factor out y from the first pair and -3 from second pair of expression.
y ( y + 1 ) - 3 ( y + 1) = 0
Factor out y + 1 from the expression.
( y + 1 ) ( y - 3 ). = 0
When product and factors equals 0. at least one factor is 0.
y + 1 =0
y - 3 = 0
Solve for y
y = -1 and y = 3
If we plug the 3 as y in the expression we find that y = 3 is the true solution of this expression.
This equation has one solution which is y = 3.
PLS HELP !!!
a. 15
b. 1
c. 2
d. 11
Answer:
d
Step-by-step explanation:
ive had this exac problem before
Answer:
B. 1
Step-by-step explanation:
Since the sides are equal to each other, the equations will be equal.
4x + 7 = x + 10
-7 -7
---------------------
4x= x + 3
-x -x
-------------
3x = 3
---- ---
3 3
x = 1
The answer is 1.