Answer:
-9-4e
Step-by-step explanation:
You would need to combine like terms which here would be 3e-7e which would equal -4e. Then take -19+10 and end up with -9.
Overall, -9-4e
How do I simplify (-4x^2+2x-3)+(7-2x^2+x)???
Answer: -6x^2 + 3x + 4
Step-by-step explanation:
use the following to answer questions 4-5. a roulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent. 4. the probability that it lands on red neither time is a. 0.2244. b. 0.2770. c. 0.4488. d. 0.9474. 5. the probability that it lands once on red and once on black is a. 0.2244. b. 0.2770. c. 0.4488. d. 0.9474.
Option a and option b is correct for the probability question number 4 and 5 respectively.
To solve these problems, we can use the concept of probability. Let's break down each question:
The probability that the ball lands on red neither time:
Since the outcomes of the two spins are independent, the probability of landing on red in each spin is 18/38. Therefore, the probability of not landing on red in each spin is 1 - (18/38) = 20/38.
To find the probability of not landing on red in both spins, we multiply the probabilities together because the events are independent:
P(not red in spin 1) ×P(not red in spin 2) = (20/38) × (20/38) = 400/1444 ≈ 0.2770.
So, the answer is option b. 0.2770.
The probability that it lands once on red and once on black:
To find this probability, we need to consider the possible scenarios where one spin lands on red and the other spin lands on black. There are two possible orders: red-black or black-red. Let's calculate the probability for one of these scenarios and then double it to account for both orders.
The probability of landing on red in the first spin is 18/38, and the probability of landing on black in the second spin is 18/38. So the probability for the red-black order is (18/38) ×(18/38).
Similarly, the probability of landing on black in the first spin is 18/38, and the probability of landing on red in the second spin is 18/38. So the probability for the black-red order is (18/38) × (18/38).
Adding these two probabilities together, we get:
(18/38) × (18/38) + (18/38) × (18/38) = 2 × (18/38) ×(18/38) ≈ 0.2244.
Therefore, the answer is option a. 0.2244.
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PLEASE HELP
THERE ARE MANY QUESTIONS LIKE THIS ON MY PAGE SO U CAN JUST KEEP GETTING POINTS
Answer: 1
Step-by-step explanation:
first, i multiplied it all out.
1.5^2/1.5^2
then, i simply divided it all.
1
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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Solve the equation x/1-x - 4x = 0
Answer: x=0
Step-by-step explanation:
Expand and simplify 2(5x+3)−2(x 2 −3) =10x+6−(2(x 2 −3))= =10x+6−(2x 2 −6)= =10x+6−2x 2 +6= =−2x 2 +10x+12
Answer:
-2x² + 10x - 12
Step-by-step explanation:
Given the expression 2(5x+3)−2(x^2 −3)
Expand
2(5x+3)−2(x^2 −3)
= 2(5x)+2(3) -2(x²)-2(-3)
= 10x + 6 - 2x²+6
= 10x -2x²+12
Express in standard form
= -2x² + 10x - 12
please solve for M<PRQ
Answer:
\( m\angle PRQ =49\degree \)
Step-by-step explanation:
\( m\angle PSQ = 360\degree - (128\degree + 134\degree )\)
\( m\angle PSQ = 360\degree - 262\degree \)
\( m\angle PSQ = 98\degree \)
Now, by inscribed angle theorem:
\( m\angle PRQ = \frac{1}{2} \times m\angle PSQ \)
\( m\angle PRQ = \frac{1}{2} \times 98\degree \)
\( m\angle PRQ =49\degree \)
At year-end, a physical inventory revealed that the ending inventory was only P420,000. The gross profit on sales has remained constant at 30%. The entity suspects that some inventory may have been pilfered by one of the employees. What is the estimated cost of missing inventory at year-end?
To estimate the cost of missing inventory at year-end, we can use the gross profit method. The estimated cost of missing inventory at year-end is P180,000.
The gross profit method is based on the assumption that the gross profit margin remains constant over time. The formula for estimating the missing inventory cost using the gross profit method is:
Estimated Missing Inventory = (Ending Inventory / (1 - Gross Profit Margin)) - Ending Inventory
In this case, the gross profit on sales is constant at 30%, which means the gross profit margin is 0.30.
Plugging in the given values into the formula:
Estimated Missing Inventory = (P420,000 / (1 - 0.30)) - P420,000
Estimated Missing Inventory = (P420,000 / 0.70) - P420,000
Estimated Missing Inventory = P600,000 - P420,000
Estimated Missing Inventory = P180,000
Therefore, the estimated cost of missing inventory at year-end is P180,000.
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Complete the table using the function: y = −3x + 2
Answer:
y=-3x+2
when we put input 0
then output =y=-3(0)+2
y=2
similary
when input 1
y=-1
when 2
y=-6+2
=-4
when 7
y=-21+2
=-19
we have to know calculate input
put x=-34
-34==-3x+2
-36/2=x
so x=-18
table completed
btw i am from india
Step-by-step explanation:
if a circle has a radius of 7/4 cm, what is the diameter?
Answer:
The diameter of the circle is 7/2.
Step-by-step explanation:
⭐What is the radius of a circle?
the distance from a point on the circumference of the circle to the center of the circle⭐What is the diameter of a circle?
the distance from a point on the circumference of the circle to another point on the circumference of the circlethe diameter must cut through the center of the circlethe diameter is double the amount of the radiusThus, the diameter of said circle is twice the radius of said circle.
diameter = 2(radius)
diameter = 2(7/4) . . . . substitute known values
diameter = 14/4 . . . . multiply the numerator & denominator
diameter = 7/2 . . . . simplify
please mark brainliest! :)
hey can someone help me pls *ANSWER ASAP*
This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,
Which is the translation applied?Remember that a vertical translation of N units is:
g(x) = f(x) + N
if N < 0 the translation is down.
if N > 0 the translation is up.
And a horizontal translation of N units is:
g(x) = f(x + N)
If N > 0 the translation is to the right.
if N < 0 the translation is to the left.
Here we have the transformation:
f(x) = x²
g(x) = (x + 2)² + 5
So this is a translation of 2 units to the left and 5 units up.
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The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.
To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.
The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.
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Perform the operation and reduce the answer fully. Make sure to express your answer
as a simplified fraction.
Answer: 1/2, Decimal : 0.5
Step-by-step explanation:
if a fration can be written as a repeating deciamal, only one dgit can repeat over and over, wothout end. true or false
Answer: False
Step-by-step explanation:
A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?
Answer: Hi
Step-by-step explanation:
Cost Price per bottle : $1.10
Selling price per bottle : $2.50
2.50 - 1.10 = 1.40
$1200=1.40B
B=858
The company must sell 858 Soda´s in order to equal it daily cost.
Hope this help. Be safe
Please solve! Brainliest first :D
Answer:
400 miles
Step-by-step explanation:
x - miles driven
140 + 0.70x - a day cost of renting from A
60 + 0.90x - a day cost of renting from B
140 + 0.7x = 60 + 0.9x
- 60 - 60
80 + 0.7x = 0.9x
-0.7x -0.7x
80 = 0.2x
×5 ×5
400 = x
What is an equation of the line that passes through the point(2,−2) and is parallel to the line 5x-2y=4
Answer:
y = 5/2x - 7
Step-by-step explanation:
5x - 2y = 4
5x - 4 = 2y
y = 5/2x - 2
Slope = 5/2
Point (2,-2)
y-intercept: -2 - (5/2)(2) = -2 - 5
= -7
Can someone help me with this?
9514 1404 393
Answer:
see below
Step-by-step explanation:
The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.
The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.
if r= 5 what is
|-r| - -r + |r| - |r|
Answer:
If r = 5, then:
(-5) - (-5) + (5) - (5) = 0
First, subtract -5 from -5 to get 0. Next, add 0 to 5 to get 5. Lastly, subtract 5 from 5 to get 0.Always remember order of operations (PEMDAS)
Hope this helps :)
The imaginary number i is defined such as i^2=-1. What does i^+ i^2+i^3+...i^23 equal?
I keep getting i^23=i^20+3=i(4x5)+3=-i
It should up -1 but I do not know how
The sum of the equation of i from i^2 to i^23 is equal to -1, which is the result of subtracting i from itself.
i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
i^8 = 1
i^9 = i
i^10 = -1
i^11 = -i
i^12 = 1
i^13 = i
i^14 = -1
i^15 = -i
i^16 = 1
i^17 = i
i^18 = -1
i^19 = -i
i^20 = 1
i^21 = i
i^22 = -1
i^23 = -i
Therefore, i^2 + i^3 + ... + i^23 = -i + (-i) = -1
The sum of the powers of i from i^2 to i^23 can be calculated by starting with i^2=-1 and then adding the result of each successive power to the sum. For example, i^3=-i and so i^2 + i^3=-1-i=-i. This process is then repeated for each of the powers i^4 to i^23, until the result of i^23=-i is added to the sum. This gives a final result of -i + (-i) = -1.
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identify the surface whose equation is given. rho = sin(θ) sin(φ)
Step-by-step explanation:
Given;The equation of the surface is, ρ = sin(θ) sin(φ)The spherical and Cartesian coordinates are related by the equations,
x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)
Here, x, y and z represent the coordinates of the center of the sphere on x, y and z axes respectively.
Now, multiply the given surface equation by ρ.
ρ² = ρsin(θ) sin(φ)
We have, ρ² = x² + y² + z².
Substitute this value in above equation and also replace the RHS by y coordinate.
x² + y² + z² = y
Now, simplify the above equation.
x² + y² - y + z² = 0
x² + y² - 2y½ + (1/2)² + z² = (1/2)²
x² + (y - 1/2)² + z² = (1/2)² ...(1)
The general form of equation of sphere is,
(x - a)² + (y - b)² + (z - c)² = r²
Here, a, b, c are the coordinates of the center of the sphere on x, y, z axes respectively and r is the radius of the sphere.
Compare equation (1) with the general form of equation of sphere. Therefore we get,
a = 0b = 1/2c = 0r = 1/2Therefore, the radius of the sphere is 1/2 and center of sphere is at (0, 1/2, 0).
Thus, The given equation represents - a sphere of radius 1/2 centers at (0, 1/2, 0).
Drag the correct value into each box on the number line.
To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.
How to perform a mathematical operation?In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.
According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.
Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.
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at the ccny holiday party, you are told there are soft drinks in the cooler. the cooler contains 18 regular soft drinks and 12 diet soft drinks. suppose you quickly grab 3 soft drinks for you and your friends without looking. what is the probability you grab 2 diet soft drinks?
The Total Proability will be 297 / 1015
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Total Number of Regular Soft Drinks = 18
Total Number of Diet Soft Drinks = 12
Total Drinks = 18 + 12 = 30
Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the first and last attempt = 12/30 * 18/29 * 11/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the second and last attempt = 18/30 * 12/29 * 11/28 = 2376 / 24360
Total Probability = 3 * 2376 / 24360
Total Probability = 2376 / 8120
Total Probability = 297 / 1015
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The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course. Compute the mean, median, and mode time.
68.2, 76.5, 92.1, 105.9, 128.4, 101.5, 94.7, 117.3 D
Compute the mean exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean exam time is _______ (Round to two decimal places as needed.) B. The mean does not exist. Compute the median exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The median exam time is_______ (Round to two decimal places as needed.) B. The median does not exist. Compute the mode exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A. The mode is (Round to two decimal places as needed. Use a comma to separate answers as needed.)
B. The mode does not exist.
The mean exam time is 98.2 (Round to two decimal places as needed).
The median exam time is 98.1 (Round to two decimal places as needed).The mode does not exist.
Given data are
68.2, 76.5, 92.1, 105.9, 128.4, 101.5, 94.7, 117.3D.
Compute the mean, median, and mode time.
Here, the data are arranged in ascending order.
68.2, 76.5, 92.1, 94.7, 101.5, 105.9, 117.3, 128.4
Mean: Mean is defined as the average of the given data. It is obtained by adding all the data and dividing it by the total number of data.
Mean= (Sum of all the given data)/Total number of data
= 785.6/8
= 98.2
Median:Median is defined as the middle value of the data when arranged in order. If the number of data is even, then the median is obtained by the average of the two middle numbers.
Median= Middle number(s)
= (101.5 + 94.7)/2
= 98.1
Mode:Mode is defined as the value of the data that occurs most frequently. If there are two data that occur most frequently, then the set is bimodal. If all the data occur equally, then the set has no mode.
Mode= Data that occurs most frequently
= No mode
Hence,The mean exam time is 98.2 (Round to two decimal places as needed).
The median exam time is 98.1 (Round to two decimal places as needed).The mode does not exist.
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Find the value of f(5) for the function.
f(a)=2(a + 3) - 7
f(5) = (Simplify your answer.)
Answer:
\(f(5)=9\)
Step-by-step explanation:
\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)
4x+9/21/3 = 3x/0.5 , find x
Answer:
Step-by-step explanation:
To solve for x in the equation 4x + 9/21/3 = 3x/0.5, we first need to simplify both sides of the equation.
On the left side:
4x + 9/21/3 = 4x + (9/21)/3 = 4x + (3/7)/3 = 4x + 1/7
On the right side:
3x/0.5 = 6x
Now we have the simplified equation:
4x + 1/7 = 6x
Next, we'll isolate x by subtracting 4x from both sides:
1/7 = 2x
Finally, we'll divide both sides by 2 to find the value of x:
x = 1/14
So, the value of x is 1/14.
A kitchen with volume of 500 m' is using 10 wood-burning stoves, each using 3 kg of wood per hour. One kilogram of wood emits 1.4 mg of a harmful chemical having molecular weight of 30. The harmful chemical converts to carbon dioxide with a reaction rate coefficient of 0.35/hr. Fresh air enters the kitchen at the rate of 1500 m³/hr, and stale air leaves at the same rate. Assuming complete mixing, calculate the steady-state concentration of the harmful chemical in the air using mass balance method.
The steady-state concentration of the harmful chemical in the air is 3.5 μg/m³.
To calculate the steady-state concentration of the harmful chemical, we need to consider the mass balance method. First, we determine the total emission rate of the harmful chemical. Each wood-burning stove emits 3 kg of wood per hour, and each kilogram of wood emits 1.4 mg of the harmful chemical. Therefore, the total emission rate is (10 stoves) x (3 kg/stove) x (1.4 mg/kg) = 42 mg/hr.
Next, we calculate the total removal rate of the harmful chemical. The harmful chemical converts to carbon dioxide with a reaction rate coefficient of 0.35/hr. Since the molecular weight of the harmful chemical is 30, the conversion rate to carbon dioxide is (42 mg/hr) x (1 g/1000 mg) x (1/30) x (1000/44) = 0.318 g/hr.
Finally, we determine the steady-state concentration by dividing the total removal rate by the fresh air flow rate. The fresh air flow rate is given as 1500 m³/hr. Converting the removal rate to μg/hr and dividing by the flow rate, we get (0.318 g/hr) x (1000 μg/g) / (1500 m³/hr) = 0.212 μg/m³. Rounding to the appropriate number of significant figures, the steady-state concentration is 3.5 μg/m³.
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I need to know the answer for number 15 and 16 please give correct answers only
Answer:
Step-by-step explanation:
15.
it was a sad day in the stock market for Rudo ;(
All plus went down 2.5 the previous day and the next day it went down 0.25 of that or
2.5*.25=0.625
2.5+.625=3.125 or -$3.13
16.
-13.4 * .5 = -6.7
-13.4-6.7 = -20.1
at 5 am it's -20.1° F
the formula gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
As per the formula of surface area of cube, the length of the cube is 5.45 meters.
The general formula to calculate the surface area of the cube is calculated as,
=> SA = 6a²
here a represents the length of cube.
Here we know that the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.
When we apply the value on the formula, then we get the expression like the following,
=> 180 = 6a²
where a refers the length of the cube.
=> a² = 30
=> a = 5.45
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Select all of the equations for the line that passes through (5, −2) and (0, 18). multiple select question.
a) y 2=−4(x−5)
b) x 4y=−12
c) y−6=−4(x 1)
d) y=−4x−12
e) y=−4x 18
f) 4x y=18
The equation containing the two given points is
a) y + 2 = −4(x−5)
What is an equation?An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.
Equations can be graphed, they are used to model many problems and theories.
To solve this problem we must evaluate both points in each of the equations, both points must be satisfied in order to validate that they are contained in the function.
Another way is to determine the slope "m"
m = y2-y1 / x2-x1
m = 18-(-2) / 0 - 5
m = -4
Equation of the line containing both points
-2 = -4(5) + b
b = 18
y = -4x + 18
a) y + 2 = −4(x−5)
y + 2 = -4x + 20
y = -4x + 18 Contains the points
b) x + 4y = − 12
4y = -12 - x
y = -3 -x/4 NO Contains the points
c) y − 6= −4(x + 1)
y = -4x - 4 +6
y = -4x + 2 NO Contains the points
d) y = −4x − 12 NO Contains the points
e) y = −4x + 18 NO Contains the points
f) 4x + y=18 NO Contains the points
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