Based on the information provided, it can be inferred that the number Mrs. Gardner thought of is 52.
How to find the number that Mrs. Gardner thought of?To find the number we must take into account all the clues they give us, for example:
It is not odd, so we know the number is even.
The sum of their numbers is 7.
1 + 6, could be 16 or 612 + 5, could be 25 or 523 + 4, could be 34 or 43It is a multiple of 13.
The only possible multiple of 13 is 52.52 ÷ 13 = 4Is greater than 4 × 5 = 20
52 > 20It is a multiple of 4.
52 ÷ 4 = 13It is less than 7 × 8 + 23 = 79.
52 < 79Based on the above, the number Mrs. Gardner thought of is 52.
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Suppose ALI was told that relative to the other scores on a NTS test, his score was the 95th percentile i.e., his percentile score is 95. How do we interpret it?
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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What’s Ln(d)=n in exponential form?
Answer:
ln(d) = n can be rewritten in exponential form as d = e^n.
Step-by-step explanation:
The natural logarithm, denoted by ln, is the logarithm to the base e (approximately 2.718). The inverse of the natural logarithm function is the exponential function e^x. Therefore, when you take the natural logarithm of a number, you can raise e to the power of that number to get the original value.
ln(d) = n is the same as d = e^n
So, Ln(d)=n can be written as d = e^n
This is because e^n is the inverse function of Ln(d) and Ln(d)=n is the logarithm form of d = e^n
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y = 1,772 +334x
Answer:
There were approximately 1,772 eagle breeding pairs in 1986.
Step-by-step explanation:
There were approximately 1.772 eagle breeding pairs in 1986
It is required to choose the correct option.
What is linear regression?Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. It is used to model the relationship between two continuous variables.
Given:
The regression equation :
y = 1,772 +334x
We know that the general form of a linear regression equation :
y = mx + c
y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope
x = number of years after 1986 ; y = number of bald eagle breeding pairs.
The intercept is a constant value at time t = 0
For x to be 0, on a graph, this the value on the y axis where the regression line crosses the y - axis.
That is in 1986; the number of y when in 1986 when x = 0 is 1,772.
Therefore, there were approximately 1.772 eagle breeding pairs in 1986.
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Option is missing
A. There were approximately 334 eagle breeding pairs in 1986.
B. There were approximately 1.772 eagle breeding pairs in 1986.
c. There were approximately 1.772 additional eagle breeding pairs each year after 1986.
D. There were approximately 334 additional eagle breeding pairs each year after 1986.
If x=8 then the length of ab is
Step-by-step explanation:
all we need to do is to put the specific value of x (8) into the place of the space holder variable x and calculate.
AB = 3x - 2 = 3×8 - 2 = 24 - 2 = 22
find the BOC pls guys
Answer:
angle coa is 90°.
angle coa=angle boa+ angle boc
90°=79°- <boc
90°-79°=<boc
11°=<boc
Answer:
<AOC=90°RIGHT ANGLE
<BOC+<BOA=90
<BOC=90-79=11 IS YOUR ANSWER.
Una empresa embotelladora de gaseosas lanzará su propia bebida "Delicia" de un litro a un costo variable de S/ 2.50 por unidad, los costos fijos son S/ 18,500. Cada unidad tiene un precio de venta de S/ 4.50. Entonces, determine el número de botellas de un litro que deben venderse para que la empresa obtenga utilidades de S/ 30 000.
Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.
¿Cómo determinar las utilidades por la venta de bebidas gaseosas?
Las utilidades (U') se obtienen de sustraer los costes de producción (Cp) a las utilidades netas (U). Los costes de producción (Cp) son la suma de costes variables (C') y costes fijos (C). y la utilidades netas proceden de la venta de botellas. En consecuencia, tenemos la siguiente expresión:
U' = U - Cp
U' = U - C' - C
A continuación, desarrollamos y resolvemos la ecuación resultante:
30000 = 4.50 · x - 2.50 · x - 18500
1.50 · x = 11500
x = 7667
Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.
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What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x = ____
y = ____Choose matching definition
a. (-3.5, 2.3)
b. (1.2, -4.7)
c. -2.6
5.2
d. (-4, -5)
The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 are (-2.6,5.2).
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.
If a point (x,y) divides the line segment joining the points A(x1,y1) and B (x2,y2) is in the ratio m:n, then
\(x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\\)
Here,
m:n = 3:10
The endpoint of line AB are at: A(-4,8) and B(2,-4)
We substitute the given values to obtain:
x= 3*2+10*(-4)/3+10
x= -34/13
x= -2.6
and
y= 3*(-4)+10*(8)/3+10
y= 68/13
y= 5.2
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Create a proportion for each set of similar triangles. Then solve the missing parts
Answer:
?=24
Step-by-step explanation:
12=?
13 26
solve for ?
I need help with this please help me
Answer: 18
Step-by-step explanation:
\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.
Using the segment addition postulate, \(GK=9\).
Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.
Using the segment addition postulate again, \(GM=9+9=18\).
A weight hanging from a spring bobs up and down starting from a lowest height of 4 feet to a maximum height of 10 feet. It completes one full cycle in 3 seconds (that means at time t=0 the weight is at the height of 4 feet and at the time of t=3 seconds the weight is back at that same height again) a. Find a model () = (( − )) + D describing the motion of the weight. Show all work and include three values checking the model is correct. b. What will be the height of the weight at t=1.5 seconds? c. Draw a graph of the model for two periods.
The weight's height at t=1.5 seconds is roughly 8.07 feet.
a. The equation for simple harmonic motion can be used to find a model that describes the motion of the weight:
Acos(wt + phi) + D = y(t)
A represents amplitude, w represents angular frequency, phi represents phase shift, and D represents vertical shift.
The amplitude A is equal to half the difference between these two heights because we know the weight oscillates between a minimum height of 4 feet and a maximum height of 10 feet:
A = (10 - 4)/2 = 3
The weight completes a full cycle in three seconds, hence the weight's angular frequency is:
T = 2pi/3 and w = 2pi
where T, or the period, denotes the length of time for one complete cycle.
We can set phi to 0 because the weight begins at the lowest height of 4 feet. Last but not least, the vertical shift D is just the average of the highest and lowest heights:
D = (10 + 4)/2 = 7
Combining everything, we obtain:
Y(t) equals 3cos((2pi/3)*t) + 7
b. By simply entering t=1.5 into our model, we can determine the height of the weight at t=1.5 seconds:
3cos((2pi/3)*1.5)*y(1.5) + 7 + 8.07
Hence, the weight's height at t=1.5 seconds is roughly 8.07 feet.
c. We can plot y(t) for t ranging from 0 to 6 seconds in order to graph the model for two periods (two full cycles). The graph is shown here:
code
|
10 | *
| * *
| * *
| * *
7 | * *
| * *
| * *
| * *
4 | * *
+-----------------------------
0 1 2 3 4 5
The graph demonstrates that the weight oscillates sinusoidally with a period of 3 seconds between 4 and 10 feet. In contrast, the minimum height is reached at t=0 seconds and the maximum height is obtained at t=1.5 seconds and t=4.5 seconds.
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construct the general solution of involving complex eigenfunctions and then obtain the general real solution. describe the shapes of typical trajectories.
The ODE's general solution has real solution and complex eigen functions. Typical trajectories are sinusoidal curves.
The general solution of the ODE involves complex eigenfunctions, which are solutions of the form e^(ikx), where k is a real number and i is the imaginary unit. By combining these complex eigenfunctions with real coefficients, a general real solution can be obtained. Typically, these solutions will take the form of sinusoidal curves, with the amplitude and period determined by the coefficients of the eigenfunctions. The coefficients can be determined using initial conditions, allowing for more specific trajectories to be determined. For example, if the initial condition is known, then the coefficients of the eigenfunctions can be determined using Fourier analysis, allowing for the trajectory of the system to be determined.
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PLS HELP ASAP I WILL GIVE BRIANLEIST
Answer:
Orange juice: 125 mgCranberry juice: 90 mgStep-by-step explanation:
For the first question/part:
Set up a proportion: \(\frac{750}{6} = \frac{x}{1}\) Cross multiply, then divide: 750 × 1 = 750, 750 ÷ 6 = 125For the second question/part:
Set up a proportion: \(\frac{135}{1.5} = \frac{x}{1}\) Cross multiply, then divide: 135 × 1 = 135, 135 ÷ 1.5 = 90I hope this helps!
Answer:
Now you can mark the other girl brainliest
Step-by-step explanation:
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Part B
Question
To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the
average number of customers per hour. Create : inequality in standard form that represents the restaurant owner's
desired revenue.
Type the correct answer in each box. Use numerals instead of words.
The inequality in standard form that represents the restaurant owner's
desired revenue is x² + 2x - 80 ≤ -65.
What are Inequalities?Inequalities are defined as the expressions consisting of both variables and constants connected by inequality signs like ≠, >, <, ≤ and ≥.
Part A :
Cost : 10 + x
Customers : 16 - 2x
Part B :
Given that,
Hourly revenue = Price paid by each customer × average number of customers per hour.
Price paid by each customer = 10 + x
Average customers per hour = 16 - 2x
Given that the restaurant owner wants a minimum revenue of $130 per hour.
(10 + x) (16 - 2x) ≥ 130
(10 × 16) + (16x) - (10 × 2x) - 2x² ≥ 130
160 + 16x - 20x - 2x² ≥ 130
-2x² - 4x + 160 ≥ 130
Dividing the equation throughout by -2,
x² + 2x - 80 ≤ -65
The inequality sign changes as we multiply or divide with a negative number.
Hence the required inequality is x² + 2x - 80 ≤ -65.
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The complete question is given below.
Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.
Part A
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that the x represents the number of $1 increases in the cost of buffet.
Part B
To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average number of customers per hour. Create inequality in standard form that represents the restaurant owner's desired revenue.
Help Now Important
4(x−2+y)=
Answer:
4(x-2 +y) = 4x-8+4y
Step-by-step explanation:
You have to apply the distributive law
4(x-2+y) = 4x + 4 (-2) + 4y
Then solve it which equals
4 x +4 (-2) + 4y
Then multiply the numbers
4 (-2) = -8
Which gets you 4x-8+4y
A sports team sold a total of 293 adult and child tickets to a recent game. Adult tickets cost $25.50 and child tickets cost $8. The team collected $6019 from ticket sales. Using any method, calculate how many of each ticket (adult and child) were sold.
The number of tickets for adults is 210 and the number of tickets for children is 83.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the number of tickets for adults and y be the number of tickets for children.
From the problem:
x + y = 293
25.50x + 8y = 6019
After solving with the substitution method:
\(\rm 25.5\left(293-y\right)+8y=6019\)
y = 83
x = 210
Thus, the number of tickets for adults is 210 and the number of tickets for children is 83.
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18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
$20
$54
$65
$90
Answer:
$54
Step-by-step explanation:
\(\frac{x}{45} = \frac{20}{100}\)
To get x which is the 20% tip
1. 45×20 = 900
2. 900÷100=9
3. 9 is the tip
To get the total cost, you would have to add $9 to $45 which is $54.
justify proposes each step
the answer is associative property of multiplicaction
because
A*(B*C)=(A*B)*C
help asap ty
will possibly mark brainliest.
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
¿Como se escribe 216 grados en minutos?
Answer:
12960 minutos de arco
Step-by-step explanation:
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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I need help I know the answer I just need someone to explain how they found the answer is x= 10, please help!
2x+7=5x-23
Answer and Step-by-step explanation: the doc is below for how i did the problem
Answer: x = 10
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
2x + 7 = 5x - 23
Add 23 to both sides of the equation:
2x + 30 = 5x
Subtract 2x from both sides of the equation:
30 = 3x
Divide both sides of the equation by 3:
10 = x
Reflexive property:
x = 10
Please help me I suck in math
Answer:
B) \(-4\sqrt{10}+13\)
Step-by-step explanation:
\(\sqrt{100}+4\sqrt{10}+3-8\sqrt{10}\)
\(10-4\sqrt{10}+3\)
\(13-4\sqrt{10}\)
\(-4\sqrt{10}+13\)
A rectangular box has a width of 18 centimeters. It’s perimeter is 100 centimeters.What is the length of the box?
Answer: 5.5555cm
Step-by-step explanation:
100 / 18 = 5.5555
The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:
Answer:
Step-by-step explanation:
The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we need to find the slope, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.
In this case, the coordinates are:
P = (-3, 2) and Q = (5, 7)
So, the slope is:
m = (7 - 2) / (5 - (-3)) = 5 / 8
Next, we can use either of the points to find the y-intercept. Let's use point P:
b = y - mx, where y and x are the y and x coordinate of the point, respectively.
In this case,
b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8
So, the equation of the line joining the points P and Q is:
y = (5/8)x + 89/8
Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.
So, we have:
0 = (5/8)x + 89/8
Solving for x, we get:
x = -(89/8) / (5/8) = -89 / 5
This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.
Let's call the point of intersection with the y-axis R. The distances are then:
PR = (3, 2) and QR = (5 - (-89/5), 7)
The ratio of the distances is then:
PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47
So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.
help pls pls pls pls pls pls pls pls