Answer:it C
Step-by-step explanation:
Write the equation of the hyperbola using the given information, The hyperbola has vertices (-2,9) and (-2,3) and foci (-2,13) and (-2,-1)
The center of the hyperbola is the midpoint between the vertices, which is (-2,6).
The distance between the center and each vertex is 3, so the distance between the center and each focus is c = 7.
The distance between each vertex and focus is a = 4.
The equation of the hyperbola with center (h,k) is:
(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1
where b^2 = c^2 - a^2.
Plugging in the values we have:
- Center: (h,k) = (-2,6)
- a = 4
- c = 7
- b^2 = c^2 - a^2 = 49 - 16 = 33
So the equation of the hyperbola is:
(x + 2)^2 / 16 - (y - 6)^2 / 33 = 1
Can anyone help me with this?
\(Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.\)
Find the minimum value of the function f(x) =0. 9x2+3. 4x-2. 4
The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.
Let's consider the equation of a function.
f(x) = \(0.9x^{2} + 3.4x -2.4\)
Now, divide each and every element and assume that a, b, and c are coefficients of the function given.
a: 0.9
b: 3.4
c: -2.4
The sign of the coefficient of a determines the exposure of the parabola. Since a > 0, the parabola is open upwards and has a minimum value.
We can find the "x" of the vertex using the following expression.
x(v) = -b/2a = -3.4/(0.9)
x(v) = -3.77
We can find the "y" of the vertex by replacing this x in the equation
y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4
y(v) = -2.42
The minimum value of the function is -3.77
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mr gardener is makin 6 treat bags.he has 185 chocloate coverd raisins. how many chocolate coverd rasins will be on each bag
Answer:
30
Step-by-step explanation:
he will still have extra but not enough to make another bag
En un tablero de 1×100 las casillas están numeradas del 1 al 100. Se pintan las casillas con tres colores, de izquierda a derecha, de la siguiente manera: la primera casilla azul, a continuación 2 rojas, luego 3 verdes, luego 4 azules, 5 rojas, y así siguiendo, cada vez se ointa una casilla más. ¿Qué número tiene la última casilla pintada de azul? Explica cómo lo encontraste
The last blue colored square on a 1x100 board with alternating color pattern every increasing number is 97th box.
In an 1x100 board, the boxes are numbered from 1 to 100. The boxes are painted with three colors from left to right in the following way: the first box is blue, then 2 red boxes, then 3 green boxes, then 4 blue boxes, 5 red boxes, and so on, painting one more box each time. What number is the last blue painted box? Explain how you found it.
To solve the problem, we need to find the pattern in the way the boxes are painted. We can notice that the colors repeat after every three boxes, so we need to find the remainder when 100 is divided by 3.
100 ÷ 3 gives a quotient of 33 and a remainder of 1.
This means that after painting 99 boxes, the next box would be the first blue box again. Therefore, the last blue painted box is the 97th box, which is two boxes before the first blue box on the board.
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In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
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Seven subtracted from a number is -18
Answer:
-11
Step-by-step explanation:
Just add 7 to -18
-18 + 7 = -11
Hope this helped :)
(If you want to check, just do -11 - 7)
Dominic took a 20-question online quiz. He received 5 points for every correct answer. For every
question he answered incorrectly, he lost 2 points. The quiz also had a 20-point bonus for
finishing in one hour or less. Since Dominic finished the quiz in less than one hour, his score S is
determined by x, the number of questions answered correctly.
Drag and drop expressions into the function to correctly define S(2).
Х
X + 20
X-20
20 - x
2
5
20
S(x) = 5
-2
+
Answer:
X+20=2 i think this is a little above my head
simplify sqrt of -100
Answer:
There is no answer to any square root to a negative number
Step-by-step explanation:
Determine the density of a proton. For a sphere \( V=\left(\frac{4}{3}\right) \pi r^{3} \). Express the density to two significant figures.
The density is 1.7 x 10^-27 kg/m^3.
The density of a proton can be determined by calculating its mass and volume. Given the volume of a sphere, the density of a proton can be expressed to two significant figures.
To determine the density of a proton, we need to calculate its mass and volume. The mass of a proton is approximately 1.67 x 10^-27 kilograms. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. Since a proton is considered a point particle, it does not have a defined radius. Therefore, we assume the radius to be extremely small, close to zero. Substituting this value into the volume equation, we get V = (4/3)π(0)^3 = 0. However, the mass of the proton remains unchanged. Thus, the density of a proton is approximately 1.67 x 10^-27 kilograms per cubic meter. Rounded to two significant figures, the density is 1.7 x 10^-27 kg/m^3.
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Problem ID: PRABDU8Y
Find the value of the variable.
7(m +5) = 21
engage
The radius of a circle is 9 miles. What is the circle's circumference?
Answer: 56.548
Step-by-step explanation: Circumfrance = (radius x pi) x2
Answer:
The answer is 56.57miles
Step-by-step explanation:
please hurry i want the answer of this question please
B
Please mark me as a brainlist
Answer:
900
Step-by-step explanation:
3²×5 = 45
3×2²×5² = 300
LCM = 900
Hope this helps... pls vote as brainliest
Please help me with this one
Answer:
2×5×7+2×5×2+2×7×2
70+20+28
108cm^2
\( \huge\boxed{\mathfrak{Answer}}\)
\(l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm\)
The formula to find SA => 2lh + 2lw + 2hw
\(SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2} \)
=> The surface area of the rectangular prism is 118 cm².
The tables represent two linear functions in a system.
y
-22
-10
X.
-6
-3
0
3
What is the solution to this system?
0 (-13³.-25]
0 [-14-54]
O(-13, -50)
O (-14, -54)
2
14
X
اده اما
-6
-3
0
3
y
-30
-21
-12
-3
The solution to the system is:
d) (-14, -54)
What is the solution to this system?To find the solution to the system represented by the given tables, we need to determine the values of x and y that satisfy both linear functions.
Let's examine the values in Table One:
x: -6, -3, 0, 3
y: -22, -10, 2, 14
And the values in Table Two:
x: -6, -3, 0, 3
y: -30, -21, -12, -3
By comparing the corresponding values, we can set up a system of equations:
Equation 1: y = mx + b₁ (representing the linear function from Table One)
Equation 2: y = mx + b₂ (representing the linear function from Table Two)
We can calculate the slope (m) and y-intercept (b) for each equation using the given values:
For Equation 1:
m = (y₂ - y₁) / (x₂ - x₁)
m = (-10 - (-22)) / (-3 - (-6))
m = 12 / 3
m = 4
Using the point (-6, -22) from Table One, we can substitute into Equation 1 to find the y-intercept (b1):
-22 = 4(-6) + b₁
-22 = -24 + b₁
b₁ = -22 + 24
b₁ = 2
Thus, Equation 1 is:
y = 4x + 2
For Equation 2:
m = (y₂ - y₁) / (x₂ - x₁)
m = (-21 - (-30)) / (-3 - (-6))
m = 9 / 3
m = 3
Using the point (-6, -30) from Table Two, we can substitute into Equation 2 to find the y-intercept (b₂):
-30 = 3(-6) + b2
-30 = -18 + b2
b₂ = -30 + 18
b₂₁ = -12
Therefore, Equation 2 is:
y = 3x - 12
Now, we have the system of equations:
Equation 1: y = 4x + 2
Equation 2: y = 3x - 12
To find the solution, we can equate the two equations. That is:
4x + 2 = 3x - 12
Simplifying:
4x - 3x = -12 - 2
x = -14
Substituting x = -14 into either equation, we can find the corresponding value of y:
y = 3(-14) - 12
y = -42 - 12
y = -54
Therefore, the solution to the system of equations is (-14, -54), which corresponds to option (d): (-14, -54).
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Complete Question
the tables represent two linear functions in a system
table one
x -6, -3, 0, 3
y= -22, -10, 2, 14
table 2
x = -6, -3, 0, 3
y= -30, -21, -12, -3
what is the solution to this system?
a) [-13/3 , -25]
b) [-14/3, -54]
c) (-13, 50)
d) (-14, -54)
Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick
So, Todd picked 1 apple.
We can use the information given to set up the following equations:
Let x be the number of apples Jack picked, and y be the number of apples Marta picked.
We know that x + y = 16 (Jack and Marta pick a total of 16 apples)
Let y be the number of apples Marta picked, and z be the number of apples Rand picked.
We know that y + z = 15 (Marta and Rand pick a total of 15 apples)
Let z be the number of apples Rand picked, and w be the number of apples Todd picked.
We know that z + w = 13 (Rand and Todd pick a total of 13 apples)
We know that the total number of apples picked is 45, therefore x + y + z + w = 45
We can use the equation x + y = 16 to express x in terms of y:
x = 16 - y
We can substitute this into the other equations
(16 - y) + y = 16
y + z = 15
z + w = 13
We can sum all the equations:
(16 - y) + y + y + z + z + w = 45
16 + 2y + 2z + w = 45
From the equation y + z = 15, we can substitute y = 15 - z
16 + 2(15 - z) + 2z + w = 45
16 + 30 - 2z + 2z + w = 45
46 + w = 45
w = 1
Therefore Todd picked 1 apple.
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Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
sue bought triangular shaped piece of wood with a height is 6 inches and a base of 2 inches she plans t cover the front with a piece of fabric how much fabric will she need?
Sue required 6 in² piece of fabric to cover the triangular shaped piece of woods.
What is termed as the triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.The sum of a triangle's three interior angles is always 1800.The sum of any two triangle sides is always larger than the length of a third side.A triangle's area is equal to half the product of its base as well as height.As per the given question,
The dimensions for the triangular shaped piece of wood are-
Height = 6 inchesBase = 2 inchesThen, the area of the fabric to cover the wood is-
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 2 x 6
Area of triangle = 6 in²
Thus, Sue required 6 in² piece of fabric to cover the woods.
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Last month Bill spent $6,000. How much did bill spend on taxes last month? (1) The total amount Bill spent on taxes was 70% of the amount he spent on groceries. (2) 40% of the total amount Bill spent last month was spent on taxes and groceries.
Answer:
Bill spent $988 on taxes.
Step-by-step explanation:
First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:
$6,000*0.4=$2,400
Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.
Let's consider that:
x=taxes
y=groceries
With the information we can write the following:
x+y=2,400 (1)
x=0.7y (2)
You can replace 2 in 1:
0.7y+y=2,400
1.7y=2,400
y=2,400/1.7
y=1,412
Then, you can replace the value of y in 2:
x=0.7(1,412)
x=$988
According to this, Bill spent $988 on taxes.
You won $100000.00 in a lottery and you want to set some of that sum aside for 4 years. After 4 years you would like to receive $2000.00 at the end of every 3 months for 6 years. If interest is 5% compounded semi-annually, how much of your winnings must you set aside?
Answer: you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.
To calculate the amount you need to set aside from your lottery winnings, we can use the concept of present value. Present value is the current value of a future amount of money, taking into account the time value of money and the interest rate.
First, let's calculate the present value of receiving $2,000 at the end of every 3 months for 6 years.
Since the interest is compounded semi-annually, we need to adjust the interest rate accordingly. The interest rate of 5% compounded semi-annually is equivalent to a nominal interest rate of 5% divided by 2, or 2.5% per compounding period.
Now, let's calculate the number of compounding periods for 6 years. There are 4 quarters in a year, so 6 years is equivalent to 6 x 4 = 24 quarters.
Using the formula for present value of an ordinary annuity, we can calculate the amount you need to set aside:
PV = P * (1 - (1 + r)^(-n)) / r
Where:
PV = Present Value
P = Payment per period ($2,000)
r = Interest rate per period (2.5%)
n = Number of compounding periods (24)
PV = $2,000 * (1 - (1 + 0.025)^(-24)) / 0.025
PV = $2,000 * (1 - 0.503212) / 0.025
PV = $2,000 * 0.496788 / 0.025
PV ≈ $39,742.72
Therefore, you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.
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mickey rats claim that y′ = xy −5y is a separable and linear differential equation. is he correct? explain.
Mickey Rats is correct that y′ = xy − 5y is a separable differential equation, but he is incorrect in claiming that it is a linear differential equation.
A separable differential equation is one that can be written in the form dy/dx = f(x)g(y), where f(x) and g(y) are functions of x and y, respectively. In this case, we can write the differential equation as:
dy/dx = y(x - 5)
which is in the required form of a separable differential equation.
However, a linear differential equation is one that can be written in the form dy/dx + p(x)y = q(x), where p(x) and q(x) are functions of x. The given differential equation is not in this form, since it has a y term that is multiplied by x.
Therefore, while the differential equation y′ = xy − 5y is separable, it is not linear.
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Please help me, I need an answer as soon as possible.
Answer:
\(\huge\boxed{\sf x = \pm \sqrt{7} }\)
Step-by-step explanation:
Given function:
\(f(x)=x^2-7\)
We can also write it as:
\(y =x^2-7\)
x-intercept is the point where y = 0
Put y = 0 in the above equation
\(0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}\)
A distribution of probabilities for random outcomes of a bivariate or dichotomous random variable is called a Group of answer choices binomial probability distribution distribution of expected values random variable distribution mathematical expectation
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
What is a binomial probability distribution?The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement. If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial. Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.
Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.
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Complete question:
A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.
Group of answer choices
(A) binomial probability distribution
(B) distribution of expected values
(C) random variable distribution
(D) mathematical expectation
For each situation, write an expression answering the question. The expression should only
use multiplication,
a. A person's salary is $2,500 per month. She receives a 10% raise. What is her new salary,
in dollars per month?
b. A test had 40 questions. A student answered 85% of the questions correctly. How many
questions did the student answer correctly?
C. A telephone cost $250. The sales tax is 7.5%. What was the cost of the telephone
including sales tax?
Answer:
The expressions for each statement are as follows:
a: 2500+(0.10*2500)
b: 40 * 0.85
c: 250 + (0.075*250)
Step-by-step explanation:
Part a:
Given
Salary = $2500
Percentage of raise = 10%
The new salary will be:
\(= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750\)
Part b:
Given
Total questions = 40
Percentage of correct answers = 85%
The required expression for correct answers is:
\(= 85\%\ of\ 40\\= 0.85*40\\=34\)
Part c:
Given
Price of phone = $250
Percentage of sales tax = 7.5%
The required expression is:
\(Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75\)
Hence,
The expressions for each statement are as follows:
a: 2500+(0.10*2500)
b: 40 * 0.85
c: 250 + (0.075*250)
which of the following statements are true for a frequentist definition for the probability of an event g
The frequentist probability is objective, based on observed data, need large sample or long term frequency, and doesn't have prior knowledge.
What is frequentist probability?Frequentist probability is a definition of probability that defines the probability of an event as the probability of an event being observed in a long-term or infinite experiment.
Frequentist probability is different from Bayesian probability in following points,
Frequentist is objective and Bayesian is subjectiveFrequentist based on observed data and Bayesian based on degree of beliefFrequentist need large sample and Bayesian not necessary need large sampleFrequentist reject the prior assumption or knowledge and Bayesian need prior assumption or knowledge for parameterThus, the statement are true for frequentist definition for the probability is doesn't have prior knowledge, need large sample, based on observed data, and objective.
Your question is incomplete, but it is general information about the frequentist definition of probability.
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I need help finding the answer for number 17!!
Answer:
39°
Step-by-step explanation:
\(angle \: 1 + 2 = 180(co \: interior \: angles \: \:in \: parallel \: lies \: are \: add \: up \: t \: equal \: 180) \\ \)
13x + 24 + 5x -6 = 180
18x+ 18 =180
18x +18 -18 =180-18
18x = 162
18 18
x = 9
Therefore,
m<2 = 5x- 6
= 5(9) -6
= 45-6
= 39°
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
A(1) =5/3 a(n) =a(n-1) x-9
Step-by-step explanation:
It looks like you have provided the recursive formula for a sequence, with the initial condition of A(1) = 5/3.
To find the values of the sequence, we can use the recursion formula, which tells us that each term in the sequence is equal to the previous term multiplied by x-9. We can start by finding A(2), which will be:
A(2) = A(1) x (x-9)
A(2) = (5/3) x (x-9)
We can continue this process to find the next terms in the sequence. We can express A(3) in terms of A(2), and then A(4) in terms of A(3), and so on. Here is the general expression for A(n):
A(n) = (5/3) x (x-9)^{n-1}
So, given any value of x, we can use this formula to find the nth term in the sequence.
For example, if x=2, we can find the first few terms of the sequence:
A(1) = 5/3
A(2) = (5/3) x (2-9) = -15
A(3) = (5/3) x (2-9)^2 = 135/4
A(4) = (5/3) x (2-9)^3 = -6075/8
And so on.
Answer:
Step-by-step explanation:
a water wave travels a distance of 10.0 meters in 5.0 seconds. what can be determined from this information?
The speed of the water wave is 2.0 meters per second.
The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.
To determine the speed, we use the formula:
Speed = Distance / Time
Substituting the given values, we have:
Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second
Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.
This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.
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A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3
Answer:
3 to 8
Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio