Answer:
y = -3
Step-by-step explanation:
The horizontal asymptote is where the curve levels out to look flat
The ratio of h minus 4 to 3 is 5.
Answer:
19
Step-by-step explanation:
therefore the answer is 19
impartind numarul natural x la numarul natural y obtinem catul 3 si restul 19
A. Calculati 2•x-6•y+3
B. Aratati ca c+y>95
C. Aflati x si y,daca x-y<61
Answer:
ok
Step-by-step explanation:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
For inequality –3(2x – 5) < 5(2 – x) the correct option is (–6x + 15 < 10 – 5x).
What is inequality?
An inequality is a mathematical statement that describes a relationship between two values or expressions, indicating that they are not equal.
To solve the inequality –3(2x – 5) < 5(2 – x), we need to simplify the expression first.
Starting with the left-hand side, we can distribute the –3 to get:
–3(2x – 5) = –6x + 15
For the right-hand side, we can distribute the 5 to get:
5(2 – x) = 10 – 5x
Substituting these back into the original inequality, we get:
–6x + 15 < 10 – 5x
To solve for x, we can first move all the x terms to one side by adding 5x to both sides:
–x + 15 < 10
Then, we can move the constant term to the other side by subtracting 15 from both sides:
–x < –5
Finally, we can divide both sides by –1 (remembering to flip the inequality sign since we're dividing by a negative number) to get:
x > 5
So the first correct representation of the inequality is x > 5.
To get the second correct representation, we can also start with the inequality –6x + 15 < 10 – 5x, and move all the x terms to one side:
–6x + 5x < 10 – 15
So second option (–6x + 15 < 10 – 5x) are correct representations of the inequality.
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a rectangular prism has dimensions of 8cm by 9cm by 10cm what is its volume?
A rectangular prism has dimensions of 8cm by 9cm by 10cm therefore the volume is 720cm³.
What is Volume?This is referred to as the measure of the space occupied within the boundaries of any three-dimensional solid.
Volume of rectangular prism = l × w × h where l is length, w is width and h is height.
Volume = 8cm × 9cm × 10cm = 720cm³.
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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a chart that compares three set of values in a three-dimensional chart is _____.
A chart that compares three sets of values in a three-dimension chart is called surface.
A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.
A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.
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What would be the coefficient of determination (R2) if the total sum of squares (SST) is 200, the sum of squares due to regression (SSR) is 175, and the sum of squares due to error (SSE) is 25? Round your answer to three decimal places.
The required coefficient of determination (R²) for the given sum of squares , SSR , and SSE is equal to 0.875.
Total sum of squares = 200
Sum of squares due to regression SSR = 175
Sum of squares due to error SSE = 25
The coefficient of determination (R²) is given by the formula,
R² = 1 - (SSE / SST)
The total sum of squares (SST) is 200
and the sum of squares due to error (SSE) is 25,
we can substitute these values into the formula to calculate R².
⇒ R² = 1 - (25 / 200)
⇒ R² = 1 - 0.125
⇒ R² = 0.875
Therefore, the coefficient of determination (R²) is 0.875.
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what’s the leading coefficient of 2x^3 - 2x^2 - x + 14?
Answer:
2
Step-by-step explanation:
given the mapping f:x-7x-2, determine f(2)
Answer:
Value of F(2) = 12
Step-by-step explanation:
Given:
F(x) = 7x - 2
Find:
Value of F(2)
Computation:
F(x) = 7x - 2
putting x = 2
f(2) = 7(2) -2
f(2) = 14 - 2
f(2) = 12
So, Value of F(2) = 12
Paul had some candy to give his five children. He first took ten pieces for himself and then evenly divided the rest among his children. Each child received three pieces. With how many pieces did he start>
Answer:
25 pieces
Step-by-step explanation:
let c = amt of candy
(c - 10 ) / 5 = 3
cross-multiply:
c-10 = 15
c = 25
Which statement is true?
O The graph of a vertical line IS a function.
O Every function is a relation.
O Every relation is a function.
O A horizontal line is NOT a function
Answer:
Every function is a relation.
Step-by-step explanation:
All functions are relations, therefore, the 2nd option is correct.
Cheers!
How could we simplify 3 2/5 + ( -7 1/5 ) = 3 + ( -7) + 2/5 + (- 1/5)
Answer:
6.5
Step-by-step explanation:
The length of a rectangle is 8 more than its breadth. If the perimeter of a rectangle is 84 cm. Find the dimensions of the rectangle
Step-by-step explanation:
84 = 2(l+b)
L+b = 84 / 2
L+b = 42
There fore..
Length is 42 and breadth is 42 - 8
Which of the following lists is in order from smallest to largest?
2/11, 0.1, 1/9, 1.1%
1/9, 0.1, 1.1%, 2/11
1.1%, 0.1, 1/9, 2/11
0.1, 1/9, 2/11, 1.1%
Answer:
D because 1.1% is the smallest percent of them all
Area of triangle mno is
A) 1/2 mn x no
B) 1/2 no x mo
C) 1/2 mn x oq
D) 1/2 no x oq
Answer:
dbjnjjerf
nsnrjfj
Step-by-step explanation:
drrirurhuririrjdhhejfjsnfdjd kdjd
your given two side lengths of 6 centimeters and 9 centimeters. Which measurment can you use for the length of the third side to construct a valid triangle? (select all the correct answers)
1. 3 centimeters
2. 10 centimeters
3. 12 centimeters
4. 14 centimeters
5. 18 centimeters
Answer:
it would be 18
Step-by-step explanation:
Because both 6,9 are factors of 18 and 3 cant do it because its under 6,9 and 12 is a multiple 6 but not 9.
Use spherical coordinates to calculate the triple integral of f(x,y,z)= 1/x²+y²+z² over the region 6≤ x²+y²+z² ≤25 (Use symbolic notation and fractions where needed.) ∭w 1/x²y²z² dv = Use spherical coordinates to calculate the triple integral of f(x,y,z)= √x²+y²+z² over the region x²+y²z² ≤9z (Use symbolic notation and fractions where needed.) ∭ w 1/x²y²z² dv
1) The value of the triple integral is -4π.
2) The value of the triple integral is (243π/4)ln((3+√2)/√2) - (27π/√2).
For the first question, we can use the formula for triple integration in spherical coordinates, which is:
∭w f(x,y,z) dv = ∫θ₁ to θ₂ ∫φ₁ to φ₂ ∫r₁ to r₂ f(r,θ,φ) r²sin(φ) dr dφ dθ
Here, we have:
f(x,y,z) = 1/x²+y²+z²
r₁ = 6
since x²+y²+z² = 6 is the equation of a sphere with radius √6.
r₂ = 5
since x²+y²+z² = 25 is the equation of a sphere with radius 5.
θ₁ = 0, θ₂ = 2π
since we integrate over the full circle.
φ₁ = 0, φ₂ = π/2
since the region we integrate over is a hemisphere.
Substituting these values in the formula, we get:
∭w 1/x²y²z² dv
= ∫ 0 to (2π) ∫0 to (π/2) ∫₆⁵ (1/r²sin²(φ)) r²sin(φ) dr dφ dθ
= ∫0 to (2π) ∫0 to (π/2) ∫₆⁵ (1/sin²(φ)) dr dφ dθ
= ∫₀^(2π) ∫₀^(π/2) (r₂-r₁)/sin²(φ) dφ dθ
= ∫₀^(2π) [-(r₂-r₁)/sin(φ)]|₀^(π/2) dθ
= ∫₀^(2π) 2(r₂-r₁) dθ
= 4π(r₂-r₁)
= 4π(5-6)
= -4π
Therefore, the value of the triple integral is -4π.
For the second question, we can use the same formula for triple integration in spherical coordinates, with:
f(x,y,z) = √x²+y²+z²
r² = x²+y²+z²,
so we have r = √(x²+y²+z²)
The region we integrate over is x²+y²z² ≤9z, which in spherical coordinates becomes r²sin²(φ) ≤ 9r*cos(φ), or r ≤ 9cos(φ)/sin(φ) = 9cot(φ).
Since r ≤ 9cot(φ), we have r₁ = 0 and r₂ = 9cot(φ).
Therefore, we get:
∭w √x²+y²+z² dv
= ∫θ₁ to θ₂ ∫φ₁ to φ₂ ∫r₁ to r₂ √(r²) r²sin(φ) dr dφ dθ
= ∫0 to (2π) ∫0 to arctan(3/√2) ∫0 o (9cot(φ)) r³sin(φ) dr dφ dθ
= ∫0 to (2π) ∫0 to arctan(3/√2) [r⁴/4sin(φ)]|0 to (9cot(φ)) dφ dθ
= ∫0 to (2π) ∫0 to arctan(3/√2) (81/4cot³(φ)sin(φ) - 9/4sin(φ)) dφ dθ
= ∫0 to (2π) [(243/8)ln(sin(φ)-cos(φ))|0 to arctan(3/√2) - (9/4)cos(φ)]|0 to arctan(3/√2) dθ
= ∫0 to (2π) [(243/8)ln((3+√2)/√2) - (9/4)(3/√2)] dθ
= (243π/4)ln((3+√2)/√2) - (27π/√2)
Therefore, the value of the triple integral is (243π/4)ln((3+√2)/√2) - (27π/√2).
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Evaluate |bc|, given a = 5, b = -3, and c = -2.
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| - makes any number positiveStep-by-step explanation:
Step 1: Define
|bc|
a = 5
b = -3
c = -2
Step 2: Evaluate
Substitute: |-3 · -2|Multiply: |6|Evaluate: 6A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
Answer:
18 red and 6 other color
Step-by-step explanation:
A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
3/4 × 24 = red ornaments
= 18 red
24 - 18 = 6 other color
suppose you paid $4 for a bet on a horse and, as a result, you will win $110 if your horse wins a given race. find the expected value of the bet (in $) if the odds that the horse will win are 3 to 12.
The expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
What is expected value?
Expected value is the predictive value of all the possibilities that occur by multiplying the value by the probability.
Winning probability = odds / total outcomes
= 3 / (3 + 12)
= 3 / 15
= 0.2
Now, we need to calculate expected value.
= winning probability x amount won - losing probability x amount lost
= 0.2 x 110 - (1 - 0.2) x 4
= 22 - 3.2
= 18.8
Thus, the expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
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What are the 4 steps to solving inequalities?.
For solving the inequalities, there are more than four steps.
The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to Subtract the same number from both sides and the third step is to Multiply both sides by the same positive number, and the fourth step is to Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.
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Sharon bought
a new coat for $145. She paid 7% sales tax on the coat. What was the total amount that Sharon paid?
Answer:
155.55
Step-by-step explanation:
total = 145*1.07 = 155.55
Help me put the inequality on the number line!
Answer:
3 with an arrow pointing to the left
Step-by-step explanation:
Competition time!
How do you make a Peanut butter and jelly sandwich?
Whoever gives the best answer gets brainiest and a thx and 5 stars.
Second place gets 4 stars and a thx!
Answer:
For each sandwich, spread 2 tablespoons peanut butter onto 1 slice of bread. Spread 1 tablespoon jelly onto another slice of bread.
Heat 12-inch skillet or griddle over medium heat.
Place 2 sandwiches into skillet. Cook, turning once, 4-6 minutes or until golden brown and peanut butter is melted.
Step-by-step explanation:
13. Piper is
decorating tables for an event. Eight
of the tables have floral
decorations in the
center and four of the tables
have candle
decorations in the center. Each table has six
chairs. If guests will be seated
randomly at the
tables, what is the probability that the first guest
to arrive is seated at a table with a floral
decoration in the center?
A:2
B.
CoLNC
1
C. 48
1.
D. 3
To find the probability that the first guest to arrive is seated at a table with a floral decoration in the center, we need to first find the total number of tables. There are 8 tables with floral decorations and 4 tables with candle decorations, so there are a total of 12 tables.
Since each table has 6 chairs, there are a total of 12 x 6 = 72 chairs.
If the first guest arrives and is seated at one of the 8 tables with floral decorations, there are 8 tables to choose from and each table has 6 chairs. Therefore, the probability that the first guest is seated at a table with a floral decoration is:
P(floral table) = 8/72 = 1/9
So, the answer is option B: 1/9.
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The answer is option B: 1/9. To find the probability that the first guest to arrive is seated at a table with a floral decoration in the center, we need to first find the total number of tables. There are 8 tables with floral decorations and 4 tables with candle decorations, so there are a total of 12 tables.
Since each table has 6 chairs, there are a total of 12 x 6 = 72 chairs.
If the first guest arrives and is seated at one of the 8 tables with floral decorations, there are 8 tables to choose from and each table has 6 chairs. Therefore, the probability that the first guest is seated at a table with a floral decoration is:
P(floral table) = 8/72 = 1/9
So, the answer is option B: 1/9.
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3/5w=4
Pls hurrrrrrrrrrry with this one thank u!
Answer:
w = \(\frac{20}{3}\)
Step-by-step explanation:
\(\frac{3}{5}\) w = 4 ( multiply both sides by 5 to clear the fraction )
3w = 20 ( divide both sides by 3 )
w = \(\frac{20}{3}\)
17. Aunt May has $5.00 in her purse, made up of 5¢ and 10¢
pieces only. If she has twenty-eight 5¢ pieces, how many
10¢ pieces does she have?
Answer:
36
Step-by-step explanation:
Answer:
She has 36 10¢ pieces
Step-by-step explanation:
You can multiply 28 and 5 to see how much money she has in nickels.
28x5 is 140.
Now you can subtract the total amount (500) from that value:
500-140=360
now divide 360 by 10 because we are trying to find how much
10¢ coins she has
You will get your final answer as:
36 10¢ coins
Study the graph,
YAB (1,6)
C (4,6)
C' (6,4)
A (1,3)
A' (3,1)
B' (6,1)
Which transformation will map ABC onto image AA'B'C'?
A a rotation of 90° about the origin
B, a rotation of -90° about the origin
C. a reflection in the line yx
D. a reflection in the line y=-*
E a translation of 2 units to the right and 2 units down
mixtures of beta priors: estimate the probability θ of teen recidivism based on a study in which there were n = 43 individuals released from incarceration and y = 15 re-oenders within 36 months.
The probability θ of teen recidivism based on a study is: the posterior mean is 0.3208. Mode is 0.313 and the standard deviation of the probability estimate is 0.0635.
What is probability?Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how probable occurrences are to occur, probability has been introduced in mathematics. The degree to which something is likely to happen is essentially the definition of probability. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment.
The posterior mean is given as:
E [Theta| y] = (a + y) / (a + y) + (b + n - y) = 17 /53 = 0.3208.
The mode for the estimate is:
Mode = (a + y - 1) / (a + y - 1) + (b + n - y -1) = 16/51 = 0.313.
The standard deviation is:
√ (a + y) (b + n - y) / [(a + y) + (b + n - y)]² [(a + y) + (b + n - y) + 1] = √17(36) / 53(53) (54) = 0.0635.
The plot of the functions are as shown.
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The complete question is:
for the function F(x)=1/x,which of these could be a value of F(x) when x is close to zero
Answer:
C. -10,000
Step-by-step explanation:
As x approaches zero, f(x) approaches infinity or negative infinity.
Answer: C. -10,000
Answer:
-10,000
Step-by-step explanation: