Answer:
1 2/6 - 3/6
Step-by-step explanation:
This should be right if you are keeping the same amount but want to just change up the numbers!
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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The cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. How many plates did they use at lunch?
If the cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. The number of plates that was used at lunch is 196.
Number of plated usedGiven :
Paper plates ordered = 400 plates
Plates used for breakfast = 226
Additional plate bought = 100
Plate used for lunch = ?
Hence,
Let calculate the plate left after breakfast
Number of plates = Paper plates ordered - Plates used for breakfast
Number of plates = 400 plates - 226 plates
Number of plates = 174 plates
Now let determine the plates that were used for lunch
Pates used for lunch :
Pates used for lunch = (174 + 100) -78
Pates used for lunch = 274 -78
Pates used for lunch = 196 plates
Therefore we can conclude that the number of plates that was used at lunch is 196 plates .
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Pablo received a gift card of $100 for a pizza restaurant .The restaurant charges $15 per pizza. Teresa received a gift card of $70 for a different pizza restaurant .the restaurant charges $10 per pizza .let X be the number of pizzas purchase. for each card write an expression for the amount of money left on the card after purchasing X pizzas.
a)Amount of money left on Pablo's card in dollars = $100 - $15x
= $(90 - 15x)
b) Amount of money left on Teresa's card in dollars= $70 - $10x
= $(70 - 10x)
c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.
$100 - 15x = $70 - 10x
Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.
For Pablo
Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.
x numbers of pizza costs = $15x
Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x
For Teresa,
Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.
Hence, x number of pizzas cost =$10 × x
= $10x
Therefore, the amount of money left on Mary's card after she buys x pizzas =
$70 - $10x
Amount of money left on Pablo's card in dollars = __________
Amount of money left on Teresa's card in dollars=____________
Write an equation to show that the two cards have the same amount of money left on them.
To find the equation that shows that the two cards have the same amount of money =
Equation 1 = Equation 2
$100 - 15x = $70 - 10x
Collect like terms
-15x + 10x = $70 - $100
-5x = -30
x = 30/5
x = 6
Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.
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Please help ill give u brainlest 40 points !!
Paige had a lemonade stand. She sold s small cups of lemonade for $1 each, m medium cups for $3 each, and l large cups for $5 each. At the end of the day, she had sold 6 medium cups, 9 large cups, and 12 small cups of lemonade.
Which expressions show how much money Paige made selling lemonade? Select all that apply.
A. 12s + 9m + 6l
B. 1s + 3m + 5l
C. $75
D. $93
Answer:
B and C
Step-by-step explanation:
the variable would be the amount of cups sold
Answer:
Your answers are B and C
Step-by-step explanation:
The expression of how much money she would have made would not be A because she didn't make 12 dollars per small cup, she made 1 dollar per small cup. If you add all the amount of cups she sold up you get $75.
an item has a listed price of $90. if the sales tax rate is 6%, how much is the sales tax (in dollars)
Answer:
95.40
Step-by-step explanation:
The sales tax is an equivelant to 5.40 dollars :)
Answer:
5.5$
Step-by-step explanation:
I’m really stuck on this. PLEASE help
Answer:
34ft
Step-by-step explanation:
just add all of the numbers up
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
please answer question
Answer:
given below.Step-by-step explanation:
for f(x):
0
2
2√2
4
for g(x):
2
2√2
2√3
2√5
for h(x):
4
6
4+2√2
8
Can someone help me with this pleaseeeeee
The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.
What is the solution of the matrix equation?The solution of the matrix equation is calculated by applying Cramer's rule as shown below;
[ 1 1 -1 ] [ 7 ]
[ 2 3 0 ] [ 18 ]
[ -5 -7 -1 ] [ -43 ]
The determinant of the matrix is calculated as follows;
[ 1 1 -1 ]
[ 2 3 0 ]
[ -5 -7 -1 ]
Δ = 1 (-3 - 0) - 1(-2 - 0 ) - 1(-14 + 15)
Δ = -2
The x determinant of the matrix is calculated as follows;
[ 7 1 -1 ]
[ 18 3 0 ]
[ -43 -7 -1 ]
Δx = 7 (-3 - 0) - 1 (-18 - 0 ) - 1(-126 + 129)
Δx = -6
The y determinant of the matrix is calculated as follows;
[ 1 7 -1 ]
[ 2 18 0 ]
[ -5 -43 -1 ]
Δy = 1 (-18 - 0 ) - 7(-2 - 0 ) -1(-86 + 90)
Δy = -8
The z determinant of the matrix is calculated as follows;
[ 1 1 7 ]
[ 2 3 18 ]
[ -5 -7 -43]
Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)
Δz = 0
The values of x, y , and z is calculated as;
x = Δx/Δ = -6/-2 = 3
y = Δy/Δ = -8/-2 = 4
z = Δz/Δ = 0/-2 = 0
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Robert is pulling his little red wagon forward with a force of 220N by holding
the handle at a 60' angle, His brother is pushing the wagon with a force of 300N,
Find the magnitude and the direction of the resultant force on the wagon,
Show all the steps
Answer:
wala bang example ng formula para masagutan yan kung meron palagay naman para masagutan ko.
#2! thanks baebaeeeeeeeeee
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
In which quadrant does the given point lie on? (2,-4)
Answer:
1 Answer. The first quadrant, Q1
Step-by-step explanation:
Answer:Bottom right aka 4
the manager of an ice cream store finds that 36 of the 110 people who tried the new flavor are buying it. two people are randomly selected to try the new flavor. use the data to estimate the probability that the first and second person who tries the new flavor will buy it. round your answer to 3 digits after the decimal point
The probability that the first and second person who tries the new flavor will buy it is,
= 0.056
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
The manager of an ice cream store finds that 36 of the 110 people who tried the new flavor are buying it.
Here, Two people are randomly selected to try the new flavor.
Hence, the probability that the first person who tries the new flavor will buy it,
= 1 / 36
And, the probability that the second person who tries the new flavor will buy it,
= 1/35
Thus, the probability that the first and second person who tries the new flavor will buy it is,
= 1/35 + 1/36
= 0.056
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A linear regression equation and multiple linear regression equations can be used to calculate y if one is given the x values. However, a logistic regression equation cannot be used to calculate y when one is given x value.
a. True
b. False
Answer:
FALSE
Step-by-step explanation:
First, define y and x.
In statistics, we have what we call variables. Variables are items or symbols that can take on various values. We have dependent variables - whose values are derived from other variables in an equation - and independent variables - whose values are given and are used to determine the values of dependent variables.
Usually, y represents the dependent variable while x represents the independent variable. So the simplest form of regression equation is
y = f (x)
Said as "y is a function of x"
A logistic regression equation can be used to calculate y when x values are given.
Here, the independent variable function (the X function) is a logistic function and it is used to find a binary dependent variable (a Y value, out of two possible values).
In logistic regression equations, the value of Y is not numerical like 1, 0.2, 3/4, and so on. It is categorical, e.g.
Black/White, Gain/Lose, Pass/Fail, Eat/Drink, etc.
A random sample of 17 students, taught in traditional lab sessions, had a mean test score of 71.5 with a standard deviation of 4.8. A random sample of 13 students, taught using interactive simulation software, had a mean test score of 78.5 with a standard deviation of 6. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software
Answer:
The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level
Step-by-step explanation:
Categories Sample Size Mean Standard D
Traditional Lab 17 71.5 4.8
Software 13 78. 5 6
We are using Student's t- test considering that the population variance is equal.
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≤ -t (0.05, 28) = -1.701
Degrees of freedom is calculated df = υ= n1+n2- 2= 17+13-2= 28
Here the difference between the sample means is x`1- x`2= 71.5-78.5= -7
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/17+13-2 [ 71.5²+78.5²]
Sp = 20.0664
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -7/ 20.0664 √1/17+ 1/13
t= -7/7.393
t= -0.9468
The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level
95,550 to the nearest ten thousand
Answer:
96,000
Step-by-step explanation:
When rounding it is important to remember if the number is five or more to round up. ("Five or more, raise the score")
Hope this helps! :)
One characteristic of a well-defined probability density function of a continuous random variable X is that the area under the curve, f(x) over all values of x is Click the answer you think is right. less than one. equal to one. greater than one. not equal to one.
One characteristic of a well-defined probability density function of a continuous random variable X is that the area under the curve, f(x) over all values of x is equal to one.
About the probability density functionProbability density functions are a group of functions commonly used in statistical theory to describe the behavior of theoretical probability distributions. A function satisfies a criterion like the function if its values are always positive for all horizontal axes and its primitives are probability distributions. This means that this function is non-negative for all abscissa values and its definite integral product in the range -∞ to +∞ is equal to 1. Apart from being called the probability density function, it is also called the probability density function or probability density function in the literature.
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The following tables each show the amount of money, in dollars, in four different bank accounts over time.
Which table best represents an exponential relationship?
A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51
Answer:
C
Step-by-step explanation:
it is not my percentage, it is not constant, it is increasing over time
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. 1 2 4 5 6 7 P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03 a. What is the missing value in the table? b. Find the mean. c. Find the variance and standard deviation. d. Interpret your results. B. In a quality control analysis, the random variable X represents the number of defective products per each batch of 100 products produced Defects (x) Batches 2 87 3 5 95 113 64 13 a. Use the frequency distribution above to construct a probability distribution? b. Find the mean. c. Find the variance and standard deviation.
a. The missing value in the table 0.03
b. The mean is 4.18
c. The variance is 3.23 and standard deviation is 1.80
d. The larger the standard deviation, the greater the spread of the probability distribution.
A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.
a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.
b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:
E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)
E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18
So, the mean number of calls per hour to the call center in the last month is 4.18.
c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:
Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)
Var(X) = 3.23
The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:
=> SD(X) = √(Var(X)) = √(3.23) = 1.80
d. Interpretation:
The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.
The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.
This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).
Complete Question:
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.
x 1 2 4 5 6 7
P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03
a. What is the missing value in the table?
b. Find the mean.
c. Find the variance and standard deviation.
d. Interpret your results.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The proof of ΔRUV ≅ ΔSUT is shown below.
Given that:
RSTV is a rectangle and U is the midpoint of VT.
Here, We have to Prove:
⇒ ΔRUV ≅ ΔSUT
Now, We can prove as;
Statement Reason
1) RSTV is a rectangle Given
2) Angle V and T are Because every angle in a rectangle is 90
right triangle.
3) ∠V ≅ ∠T Because both are right angle.
4) U is the midpoint of VT. Given
5) VU = UT By midpoint theorem.
6) VR ≅ TS Opposite sides of rectangle.
7) ΔRUV ≅ ΔSUT By SAS congruency theorem.
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Which of the following ordered pairs represents the point plotted and labeled A?
The x-axis starts at negative 4, with tick marks every unit up to positive 4. The y-axis starts at negative 4, with tick marks every unit up to positive 4. Point D is two units left of the origin. Point A is one unit left and two units up from the origin. Point C is two units down from the origin. Point F is one unit right and two units up from the origin. Point B is three units right and one unit up from the origin. Point E is three units right and one unit down from the origin.
(−1, 2)
(−2, 0)
(0, −2)
(1, 2)
The ordered pair that represents the point plotted and labeled A include the following: (−1, 2).
What is a translation?In Mathematics and Geometry, the translation of a graph to the left simply means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph upward means a digit would be added to the numerical value on the y-coordinate (y-axis) of the pre-image.
g(x) = f(x) + N
Note: "Point A is one unit left and two units up from the origin. "
Since point A is one unit left and two units up from the origin (0, 0), we can logically deduce the following:
(x, y) → (x - 1, y + 2)
Origin (0, 0) → (0 - 1, 0 + 2) = point A (-1, 2).
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Answer:
A: -2 + 3i
B: -1 + -1i
C: 3 + -4i
D: 4 + 1i
Step-by-step explanation:
These are the answers, Basically just normal graphing. run/rise.
I hope this helps! :)))))
Just please help im desperate( 3 different questions)
Answer:
7. what are the fold down options for this question exactly?
1. C and E
3. B and D
Step-by-step explanation:
7.
1. function 1 has a slope of 2/3 and function 2 has a slope of 3 so they are both positive rates of change, and the y intercept (the value that y has when it passes through x = 0) for function 1 is -6 while the y intercept for function 2 is -3.
3. K has a y intercept of 8 compared to the 3 that J has, and J has a slope of 5 compared to the 3 that K has.
Robert sold 20 cups of lemonade and 40 cups iced tea at the ffh stand at the country fair. What percent of the drinks sold were lemonade?
First, make a percent proportion table. put 100 on the bottom right line, then put your whole which is 60, on the bottom left line. put your 20 cups of lemonade on the top left line. put an x on the top right line to indicate that there is no verified percent to use. Now, use the butterfly multiplication method. which is making a bubble from the bottom left and top right corners, and doing it the same to the top left and bottom right corners. when you have multiplied the bubbled numbers it should be 2000 divided by 60x so divide that and you should get your answer of 33.3333 ( and it keeps repeating itself forever.) Have a nice day!
Samantha surveyed 500 of the students in her school about their favorite color.
Students could choose between blue and purple. 27% said their favorite color was
purple. How many students' favorite color was blue?
Find an equation in standard form that has the following roots (-5,0) (6,0)
Answer:
x²-x-30=0
Step-by-step explanation:
so the roots are -5 and 6
we can find the exquation by knowing that
(x-root1)(x-root2)=the equation
(x+5)(x-6) distribute
x²-6x+5x-30 combine like terms
x²-x-30
Calculate the surface area of the figure.
Answer:
2800 yd^2
Step-by-step explanation:
Faces = (1/2 (28*36)) 4 = 2016
Base = 28*28 = 784
2016 + 784 = 2800
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend
Answer:
Sylvia's total cost=$2.79*8
=$22.32
Step-by-step explanation:
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round your answer to the nearest tenth.
The height of the pole is 7.1 feet.
Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.
The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.
The two sides of triangle are equal that is x and and the third side is 10.
Now, we will apply the pythagoras theorem, we get
B²+P²=H²
Here B=P+x and H=10
x²+x²=(10)²
2x²=100
Now, we will divide both sides with 2, we get
2x²/2=100/2
x²=50
Now, we will take square root on both sides, we get
√x²=√50
x=√50
x=7.07106781
The Round to the nearest tenth is x=7.1 feet.
Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.
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