To simplify the expression (9 - 1x + 2x) - (2x^2 - 3x + 5), you can follow these steps:
1. Combine like terms:
(9 + 2x) - (2x^2 - 3x + 5)
2. Simplify:
2x + 9 - (2x^2 - 3x + 5)
3. Combine like terms:
2x + 9 - 2x^2 + 3x - 5
4.Simplify:
-2x^2 + 5x + 4
Therefore, the simplified form of the expression is -2x^2 + 5x + 4.
The following table gives you the distribution of marks secured by some students in anexamination. 0-20 21-30 31-40 41-50 51-60 61-70 71-80 no of students: 42 38 120 84 48 36 32 Find (i) the percentage of failures, if the minimum for a pass is 35 marks. (Ans. 40.5 and 30.5)
The percentage of failures, if the minimum for a pass is 35 marks, is given as follows:
80%.
How to obtain a percentage?A percentage is obtained applying a proportion, as the percentage is given by the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.
The total number of students is given as follows:
42 + 38 + 120 + 84 + 48 + 36 + 32 = 400.
The minimum grade for a pass is of 35 marks, hence, considering all the measures in the 31-40 range as passing, the number of students that passed is given as follows:
120 + 84 + 48 + 36 + 32 = 320.
Hence the percentage of students that passed is given as follows:
P = 320/400 x 100% = 0.8 x 100% = 80%.
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Asha made a profit of Rs.395 on a pen she sold for Rs. 6235. At what price did she buy it?
Answer:
She bought it at Rs.6140
-4,-1,-6,-11,-16,Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.)?
Here we have an arithmetic sequence where we just need to add 5 to each term to get the next one.
Which is the pattern in these numbers?The actual pattern seems to be:
-4, 1, 6, 11, 16
This seems to be an arithmetic sequence, to check that, just take any pair of consecutive terms and take the difference between them.
For the first two:
1 - (-4) = 5
For the second two:
6 - 1 = 5
For the third two:
11 - 6 = 5
And so on.
So we just add 5 to the previous term to get the next one, that is the pattern.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
The length of the metal bar if The sides of the cuboid are 2 m, 3 m, and 4 m, is 5.4 meters approximately so, option C is correct.
What is a cuboid?A shape created by stacking numerous congruent rectangles on top of one another. The resultant shape is known as a cuboid. Take a look at the following cuboid to see how it displays its three dimensions: length, width, and height.
Given:
The sides of the cuboid are 2 m, 3 m, and 4 m,
Calculate the length of the metal bar as shown below,
The length of the metal = √(2² + 3² + 4²)
The length of the metal = √(4 + 9 + 16)
The length of the metal = √29
The length of the metal = 5.38 meter
Thus, the length of the metal bar is 5.4 meters.
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Evaluate the expression for x= 4 and y =2
Answer:
9
Step-by-step explanation:
(2² x ² / xy²) ²
x=3 y=2
9
I don't know is it correct or not
what is equivalent to 2/1 & 4/2
Answer:
There are infinite answer for this. Here are a few.
6/3, 10/5, 0.5, 100/50, 25/50, -10/-5
Step-by-step explanation:
What is this expression in simplified form?
2/135*6 - 3√15*6
A. 9x³√10
OB. 8³/30
C. 119³√15
D. 3x³√15
8³/30 is the expression in simplified form of 2/135*6 - 3√15*6.
What is simplified form?The simplest form of a fraction is one with a relatively prime numerator and denominator. It indicates that, other than 1, there is no common factor between the fraction's numerator (upper part or top) and denominator (lower part or bottom).
The reduced form of a fraction is another name for its simplest form. For instance, the simplest form of a fraction with a common factor of 1 is 3/4 However, because 2/4 can be further condensed and written as 1/2, it is not the simplest form. In this case, we can also state that 1/2 and 2/4 are equivalent fractions.
Given to find the expression in simplified form
2/135 *6 - 3√15 *6
6(2/135-3√15)
6(2/3√15-3√15)
6(2/3√15×3√15 - 3√15/ 3√15)
6(2×3√15/135- 3√15/1)
6(2×3√15/3√15- 3√15/1)
6(2- 3√15)
8³/30
Thus, 8³/30 is the expression in simplified form of 2/135*6 - 3√15*6.
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please help i will mark you brainliest
Answer:
y = 2x + 1
explanation:
y = mx + b
y = 2x + b
y = 2x + b
7 = 2*3 + b [Plugged in 3 for x and 7 for y]
7 = 6 + b
1 = b
Answer: (3,7)Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
y=7
Step-by-step explanation:
Q3. The diagonals AC and BD of a parallelogram ABCD intersect at O. If P is the midpoint of AD, prove that
a) PQ || A B
b) PO=1/2 CD.
Answer:
Step-by-step explanation:
a) To prove that PQ || AB, we can use the fact that in any parallelogram, the opposite sides are parallel and equal. Therefore, since AD is parallel to AB, the line PQ which connects the midpoint of AD to the opposite corner A will also be parallel to AB.
b) To prove that PO = 1/2 CD, we can use the fact that in any parallelogram, the diagonals bisect each other. Therefore, since AC and BD intersect at O, PO must be equal to 1/2 of its length. Since the length of CD is twice that of PO, it follows that PO = 1/2 CD.
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
The area of the shaded region ECODF is given by 8√2 - 4 - π units and rounding it to the nearest tenth we get, 4.2 units.
From the given diagram we can deduce that -
Area(ECODF) = Area(ABFE) − Area(OAC) − Area(OBD) − Area(CAE)− Area(DBF)
OA = OB = 2√2
⟹AB = EF = 4√2
AE = BF = 2
Area(ABFE) =2 × 4√2 = 8√2
Now, AC = BD =2
OC = OD = [tex]\sqrt{(2\sqrt{2})^{2} - 2^{2}}[/tex]
=√(8−4)
= √4
= 2
Area(OAC) = Area(OBD) = 12 × 2 × 2 = 2
Triangles OAC and OBD are isosceles right triangles:
∠OAC = ∠OBD = 45°
Sectors CAO and DBF have central angles:
∠CAE = ∠DBF = 90° − 45° = 45°
Area(CAE) = Area(DBF) = 45/360 × π(2^2) = π/2
hence, the area of region ECODF is given by -
Area(ECODF) = 8√2 - 2(2) - 2(π/2)
Area(ECODF) = 8√2 - 4 - π
and rounding it to the nearest tenth we get, 4.2 units.
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The complete question is -
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
Consider the function
p
(
t
)
=
5
t
−
t
2
, which represents the height, in feet, of a projectile
t
seconds after being launched.
The function with which the projectile is moving is P(t) = 5t - t², where P(t) represent the height and t represent the time.
For t > 5 the value of P(t) will be negative , but distance travelled can not be negative.
an expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences. The modern definition of function was first proposed in 1837 by the German mathematician Peter Dirichlet:
A variable y is said to be a function of the independent variable x if there is a correlation between them such that a rule determines a particular value of y whenever a numerical value is assigned to x.
The function is P(t) = 5t - t²
here for t > 5 the value of P(t) will be negetive , but distance travelled can not be negetive.
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Complete question--
You can have a sandwich with rye, wheat, or white bread and containing either
roast beef, turkey, tuna, or ham. What is the probability of getting a tuna
bread sandwich? (reduce fraction)
wheat
and
a. 5/12
b. 1/12
c. 1/2
d. 2/12
Answer:
b. 1/12
Step-by-step explanation:
There are 3 choices for the type of bread and 4 choices for the type of filling, for a total of 3*4=12 possible sandwiches. If you are only interested in sandwiches made with tuna filling, then there are 3 choices for the type of bread (rye, wheat, or white) that the sandwich can be made with. Therefore, the probability of getting a tuna sandwich on any type of bread is 3/12=1/4. The probability of getting a tuna sandwich on wheat bread specifically is 1/4, so the answer is b. 1/12.
In a pizza eating contest, a participant can eat 3 slices of pizza in 2 minutes. If he continues to eat at this rate, then how many slices of pizza will he eat in 10 minutes? Double number lines
Answer:
Step-by-step explanation:
15
Answer: The answer is 30
Step-by-step explanation: Just do 2 times 3. 10 times
What is the value of angle A
Answer:
130
Step-by-step explanation:
add 140 and 90
subtract 230 from 360
1) Julia drives 10 km due west of her home. Then she heads 15 km south. What is the total distance that she has travelled from his house?
2) In a right angle triangle, the side adjacent to the 250 angle is 15 cm long. What is the length of the side opposite the 250 angle to the nearest centimeter?
HELP PLEASE:?
1. If Julia drives 10 km due west of her home. the total distance that she has travelled from his house is 18.02 km.
2. The length of the side opposite the 250 angle to the nearest is-60.41.
How to find the distance and the length?1. Total Distance
Pythagorean theorem
D²= a² + b²
D² = 10² + 15²
D²= 100+225
D = √325
D = 18.02 km
2. Length
tan(250) = side opp/side adj
Side opp = 15×tan(250)
Side opp = 15× (-4.02728264508)
Side opp = -60.41
Therefore the distance is 18.02 km and the length is -60.41.
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Find g(x), where g(x) is the translation 6 units left of f(x) = x².
Write your answer in the form a(x - h)+k, where a, h, and k are integers.
The function g(x) can be expressed as g(x) = a(x - h) + k, where a is the coefficient of x (which is 1 for f(x) = x^2), h is the horizontal shift, and k is the vertical shift.
To translate a function 6 units left, we need to shift it horizontally by -6 units. So, h = -6.
Since the function g(x) is a translation of f(x), a and k will have the same values as in f(x). In this case, a = 1 and k = 0.
Therefore, the function g(x) that represents the translation 6 units left of f(x) is:
g(x) = a(x - h) + k
= 1(x - (-6)) + 0
= 1(x + 6) + 0
= x + 6
the answer is: g(x) = x + 6
Some people are made to share an amount of GH¢40.00. If 140 people received a share , How mach did each person receive?
By taking a quotient, we will see that each one of the 140 people got GH¢0.67
How much did each person receive?We know that some people wants to divide equally the amount of GH¢40.00 between a total of 140 people, then we only need to take the quotient:
GH¢40.00/140
Assuming you can't use a calculator, the division is as follows:
40/140 (i removed the units so it is easier to read)
We can simplify the fraction as:
40/140 = 4/14
4/14 = 2/7
Now we could say that each person got GH¢ 2/7
Or write that fraction as 2/7 = 0.67
Each person got GH¢0.67
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When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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Ill give brainliest to the person who answer
Answer:
1/2
Step-by-step explanation:
Perpendicular slopes must be opposite reciprocals of each other (their product should equal -1), so first find the slope of the line in the graph.
Slope = rise / run = -2 / 1 = -2
If the slope of the perpendicular line is m, we know -2m=-1. Dividing both sides by -2, we get m = 0.5 = 1/2
a department srore is ordering the fall line of shoes. which of the following statistical measurements would they use to determine what sizes they should order the most?
The statistical measurement used by the stores to order the shoes to determine the appropriate sizes is mode.
What is mode?It is referred to as the mode value and is defined as the data's highest frequency as well as how frequently the element appears in the data set. The value that appears most frequently in a given set is the mode. Additionally, we can refer to the value or number in a data collection that occurs more frequently as the mode or modal value.
When a department store is ordering line of shoes, the store needs to collect the data and analyze the representation and organization.
Hence, mode is the correct answer.
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finding the inverse algebraically
A function's inverse will result in the input and output being in opposite directions. Set the function equal to y in order to use algebra to discover the inverse of the function. After that, switch x and y and find y in terms of x.
What does the algebraic concept of inversely mean?Inverse operations are those that are the exact opposite of one another. For instance, division is related to the operation of multiplication, and subtraction is the related to operation of addition.
What is an inverse calculation?Therefore, in mathematics, an inverse operation is an operation that reverses the effects of a preceding operation The term "inverse operations" refers to a collection of two opposing operations. As an illustration: The result of adding 5 and 2 pens is 7 pens. Now
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Given f (x)=-3x-2 and g (x)=-4x+4, find (f times g)(4).
f (x) = 3x - 2
g(x) = 4x + 4
fg (4) = ?
fg (x) = f (4x + 4)
3( 4x+4) - 2
12x + 12-2
fg (x) = 12x+10
fg(4) =( 12 × 4) + 10
fg(4) = 48 + 10 = 58
If two cones have their heights in the ratio 1:3 and radii 3:1, then the ratio of their volumes is:
A.1:3
B.3:1
C.2:3
D.3:2
B. If two cones have their heights in the ratio 1:3 and radii 3:1, then the ratio of their volumes is 3:1.
This can be determined by using the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius and h is the height. Since the ratio of the height is 1:3 and the ratio of the radii is 3:1, the ratio of the volumes is 3:1.
To calculate this, we can set up two equations:
V1 = (1/3)πr1^2h1 and
V2 = (1/3)πr2^2h2.
Since the ratio of the height is 1:3, we can set h1=3h2. Substituting this into the equation for V2 and solving for V2/V1, we get
V2/V1 = (r2/r1)^2*(h2/h1).
Since the ratio of the radii is 3:1, we can set r2/r1=3. Substituting this into the equation and simplifying, we get V2/V1 = 3^2*(h2/h1), which is equal to 3^2*1/3=3, which is the same as the ratio of the radii, 3:1. Therefore, the ratio of the volumes is 3:1.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!!!!!!!!
Answer:
Step-by-step explanation:
a) correct
b) incorrect, its actually approximately 94cm^3
c) correct
d) correct
e) incorrect, its actually around 188cm^3
i tried, i hope this works :)
Model Real Life You want to stack
1/4cups in minute. Your first
attempt takes 1/2minute. Your second
attempt takes 3/10minute less than your
first attempt. Do you meet your goal?
Explain.
The real life need to stack ¼ cups in a minute would not be met in the given time after being calculated.
What is the equivalent of one minute?The equivalent of one mini is 60 seconds. The given expressions would be calculated in seconds to find the portion of minutes in each phase.
The actual desire is to Stack 1/4 = 60 seconds
The first attempt = 1/4 for 1/2 ×60 seconds = 30 seconds
The second attempt = 1/4 for 3/10 × 60 secs = 18 secs less than first attempt which is= 30 -18 = 12 secs
Since in both cases 30 and 18 seconds are not up to 1 minute, you weren't able to reach your goal.
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jan has 12 ounces milkshakes four ounces in the milkshake are vanilla and the rest is chocolate what are 2 equivalent fractions that represents the fraction of the milkshake that is vanilla
Answer:
4/12, 1/3, 10/30
Step-by-step explanation:
Jan has 12 ounces milkshakes. Four ounces in the milkshake are vanilla and the rest is chocolate. What are 2 equivalent fractions that represent the fraction of the milkshake that is vanilla?
Total in 1 milkshake: 12 oz
Vanilla: 4 oz
Chocolate: 8 oz (12 oz - 4 oz = 8 oz)
The vanilla fraction is
4/12
Reduce 4/12 by dividing the numerator and denominator by 4:
1/3
Multiply the numerator and denominator by 10:
10/30
Here are 3 equivalent fractions of the fraction of vanilla:
4/12, 1/3, 10/30
hey yall i need help
Evaluate the expression, given functions f , and g :
f(x) =7x−4
g(x) =11−x2
3f(1)−4g(−2)=
Number
The solution of the function 3f(1) - 4g(-2) is -19.
How to solve functions?The functions can be solved as follows;
f(x) = 7x - 4
g(x) = 11 - x²
Therefore, let's solve the composite function as follows:
A composite function is generally a function that is written inside another function.
Hence,
3f(1) - 4g(-2) = ?
f(1) = 7(1) - 4 = 7 - 4 = 3
g(-2) = 11 - (-2)² = 11 - 4 = 7
Therefore,
3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19
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A conveyor belt is producing batteries. The probability of producing a faulty battery is 0.02. Prior to being sold, every battery is submitted to quality control. The probability that the quality control correctly identifies a given faulty battery as faulty is 0.97. The probability that the quality control accidentally declares a working battery faulty is equal to 0.02. Find the probability that a battery is declared faulty by the quality control team.
It is estimated that there is a 0.039 percent chance that a battery may be deemed defective by the quality control team.
What is the probability?Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.
A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.
Let's call the probability that a battery is faulty "F" and the probability that it is declared faulty by the quality control team "D." We can then use the following formula to find the probability that a battery is declared faulty:
P(D|F) * P(F) + P(D|not F) * P(not F)
Substituting in the given values, we get:
(0.97 * 0.02) + (0.02 * 0.98) = 0.039
So, the probability that a battery is declared faulty by the quality control team is approximately 0.039
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11. Conner earned these scores on the first three tests in science this term: 86, 88, and 78. What is the lowest score that Conner can earn on the fourth and final test of the term if he wants to have an average of at least 83? Inequality: Solution: Sentence:
Answer:%80
Step-by-step explanation: take 83 x 4 (4 being the total number of test) and you get 332, then take the 332 and subtract the current test score (78,88,86). Finally you have your answer, %80
Answer:
He must have a score of 80 or higher.
Step-by-step explanation:
[tex]\frac{86+88+78+x}{4}[/tex] [tex]\geq[/tex] 83
[tex]\frac{252 +x}{4}[/tex] ≥ 83 Multiply both sides by 4
252 + x [tex]\geq[/tex] 332 Subtract 252 from both sides
x [tex]\geq[/tex] 80