Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
Which expressions are equivalent to x^2+6x+8 ? Select all that apply.
Answer: 3(2x+4), 6(x+2), and 2(3x+6)
Step-by-step explanation: tell me if you dont understand :)
Consider the plate dealt with in Example 8.1. Plot has a function of the angle of inclination of the plate as the hot side is tilted both upward and downward over the range +90°. Note that you must make do with discontinuous formulæ in different ranges of 0.
The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.
It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.
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what is the x? please help its very important
HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?
Answer:
42
Step-by-step explanation:
Answer: you spent 63
Step-by-step explanation:
After reviewing the generated schedule on Wednesday, you notice your Pharmacy Technician, Abigail Gibson, isn't being scheduled at all during the week. Which of the following would cause this?
O Minimum Base Hours set to 10
O Availability is not entered
O Workstation Proficiencies are set to "low" for all Workstations
After reviewing the generated schedule on Wednesday, you notice your Pharmacy Technician, Abigail Gibson, isn't being scheduled at all during the week. The option that will cause this is B. Availability is not entered
Who are Pharmacy technicians?Pharmacy technicians check inventory and fill prescriptions. Pharmacy assistants assist pharmacists in dispensing prescription drugs to patients or medical professionals. Hospitals and retail pharmacies are where they primarily work.
In order to assist and support patients and guarantee they receive the best care, pharmacists collaborate with pharmacy technicians, who are medical professionals.
In addition to primary care, educational, military, or veterinary practices, pharmacy technicians can work in community (retail) pharmacies, hospital pharmacies, pharmaceutical production or sales in the pharmaceutical industry, prisons, and community (retail) pharmacies.
Based on the information illustrated, the correct option is B.
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Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?
The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).
To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.
The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).
To find the p-value, you would need the F-distribution table or statistical software.
Once you have the p-value, you can compare it to the significance level (α) to make a decision:
If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.
If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.
Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.
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suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.45. using the empirical rule, what percentage of the students have grade point averages that are greater than 2.11? please do not round your answer.
By using empirical rule, approximately 34% of the students have grade point averages that are greater than 2.11.
The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
We want to find the percentage of students with a GPA greater than 2.11. To do so, we need to calculate the number of standard deviations that separate 2.11 from the mean of 2.56:z = (2.11 - 2.56) / 0.45 = -1
Here, z represents the number of standard deviations away from the mean. A negative z-value indicates that the value of interest is below the mean.
Now that we have calculated the z-value, we can use the empirical rule to determine the percentage of students with a GPA greater than 2.11. Since the value of interest is below the mean, we need to calculate the percentage of students who fall within one standard deviation below the mean:
68% - 34% = 34%
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Which property of equality justifies step f?
A.Multiplication Property of Equality
B. Subtraction Property of Equality
C. Addition Property of Equality
D.Division Property of Equality
In this step, we are dividing both sides by -8.
The division property of equality says that if a = b, then a/c = b/c where c is any nonzero real number.
Solve the formula
S =4pi r^2
Answer:
The answer is option AStep-by-step explanation:
S = 4πr²
First of all divide both sides by 4π
That's
\( \frac{4\pi {r}^{2} }{4\pi} = \frac{S}{4\pi} \\ {r}^{2} = \frac{S}{4\pi} \)Find the square root of both sides in order to isolate r
That's
\( \sqrt{ {r}^{2} } = \sqrt{ \frac{S}{4\pi} } \)We have the final answer as
\(r = \sqrt{ \frac{S}{4\pi} } \)Hope this helps you
if the columns of an n × n matrix a are linearly independent as vectors in ℝn, what is the rank of a?
The rank of a matrix is the number of linearly independent columns or rows in the matrix.
What is the rank of the matrix ?If the columns of an n × n matrix A are linearly independent as vectors in ℝn, then the rank of A is n. This is because linearly independent vectors are not multiples of each other, and therefore do not reduce to a smaller set of linearly independent vectors when the matrix is put in reduced row echelon form. As a result, the rank of the matrix is equal to the number of columns, which is n. Therefore, the rank of A is n.
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4-day-old infants are approximately normally distributed with a population standard deviation of 3.5 mg/dl. Find the 96% confidence interval of the true population mean following the steps: a. State the Critical Values: b. State the Margin of Error: c. Confidence Interval: d. Conclusion:
We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.
To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:
Step a: State the Critical Values:
Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.
Step b: State the Margin of Error:
The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.
Margin of Error = Z * (Standard Deviation / √(Sample Size))
Step c: Confidence Interval:
The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.
Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)
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A company makes the cylindrical container shown below.
The company will make a new container by increasing the height of the original one by 2 inches. How will the volume of the new container compare to the volume of the original container?
The new container will have half the volume of the original.
The new container will have twice the volume of the original.
The new container will have 2/3 the volume of the original.
The new container will have 1.5 times the volume of the original.
The correct statement regarding the volume of the new container, compared to the old contained, is given depending on the height of the original cylinder.
How to obtain the volume of a cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows, in which the square of the radius is multiplied by π and the height, hence:
V = πr²h.
For the new cylinder, the height is increased by 2 inches, hence the equation is given as follows:
Vn = πr²(h + 2).
The ratio between the two volumes is given as follows:
πr²(h + 2)/ πr²h = (h + 2)/h.
Then you must replace the height of the original cylinder into the equation to obtain the ratio.
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The principal P is borrowed at simple interest rater for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answer to the nearest cent. P = $800.00 r = 4% t-=7 months a. $818.67 b. $18.67 c. $224.00 d. $1024.00
The simple interest owed for the use of the money is approximately $18.67. option B
How to find the simple interest owedTo calculate the simple interest owed for the use of the money, we can use the formula:
Simple Interest = Principal (P) * Interest Rate (r) * Time (t)
Given:
Principal (P) = $800.00
Interest Rate (r) = 4% (or 0.04 as a decimal)
Time (t) = 7 months
First, let's convert the time from months to years:
Time (t) = 7 months * (1 year / 12 months) ≈ 0.5833 years
Now, we can calculate the simple interest owed:
Simple Interest = $800.00 * 0.04 * 0.5833 ≈ $18.67
Rounding the answer to the nearest cent, the simple interest owed for the use of the money is approximately $18.67.
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Find the side labeled x.
Answer:
4√3
Step-by-step explanation:
Hello!
This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.
In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.
This means that the hypotenuse would be 2 times 4, or 8.
The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.
So the measure of x is 4√3.
An image is attached for your reference.
The value of side labeled x using Trigonometric ratio is \({4}{\sqrt 3}\).unit.
Given:
Angle = 30
Perpendicular or opposite side= 4
Using Trigonometric ratio
tan 30 = Opposite side / Adjacent side
Substituting Opposite side= 4 and Adjacent side = 4 in above ratio
So, tan 30 = 4 / x
As, the value of tan 30 = \(\dfrac{1}{\sqrt 3}\) then
tan 30 = 4 / x
\(\dfrac{1}{\sqrt 3}\) = \(\dfrac{4}{x}\)
solving for x
x = \({4}{\sqrt 3}\)
Thus, the value of x is \({4}{\sqrt 3}\).
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the stage in a theater is in the shape of a trapezoid. The length of the front of the stage is 80 feet. The length of the back stage is 50 feet. The distance from the front and back of the stage is 40 feet. What is the area of the stage
Answer:
To find the area of the stage, we need to use the formula for the area of a trapezoid, which is:
Area = (a + b) * h / 2
where a and b are the lengths of the parallel sides, and h is the height (or distance between the parallel sides).
In this case, we know that:
a = 80 feet
b = 50 feet
h = 40 feet
Plugging these values into the formula, we get:
Area = (80 + 50) * 40 / 2
Area = 130 * 20
Area = 2600 square feet
Therefore, the area of the stage is 2600 square feet.
Members of the math club held a bake sale to raise money. Cupcakes and cookies were sold.
Cupcakes were sold for $2 each.
Cookies were sold for $1.50 each.
The members sold a total of 285 items.
Of the items sold, 23
2
3
were cupcakes and the remaining items were cookies.
How much money did the math club members raise from the cookies that were sold?
Answer:
Cupcake
Step-by-step explanation:
Because the sale price is bigger
what is value of the "2" in 32,405
Answer:
please mark me brainliest
Step-by-step explanation:
thousandth
The place Value of 2 is Thousand (1000)
Hope it helped youWhat is the area of this polygon?
Enter your answer in the box.
2. If two figures are the same shape and the same
size, then the figures are
If two figures are the same shape and the same size, then the figures are Congruent.
Those figures that are exactly the same size and shape are said to be congruent.
Additionally, if the dimensions of one of the figures match those of its mirror image, it will also be true.
Additionally, two figures are said to be congruent if they entirely overlap when one is placed over the other and the top figure cannot be seen through the bottom.
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Solve step by step -18=2(-q+4)
Answer:
q=13
Step-by-step explanation:
First, you can multiply to distribute 2 over -9 and 4.
-18=2(-q+4)
-18=-2q+8
Then, you can subtract 8 from both sides.
-18=-2q+8
-26=-2q
Finally, you can divide -2 on both sides.
13=q
Now, you can check by plugging in 13 for the value of q in the original equation.
-18=2(-(13)+4)
-18=2(-13+4)
-18=2(-9)
-18=-18
Hope this helps you! :)
Solve for y: 5x-4y=28
Answer:
y = \(\frac{5}{4} x - 7\)
Step-by-step explanation:
Step 1: Add -5x to both sides.
5x − 4y + −5x = 28 + −5x
−4y = −5x + 28
Step 2: Divide both sides by -4.
\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)
y = \(\frac{5}{4}x -7\)
Answer:
y=- -5/4x-7 go to question 7
Step-by-step explanation:
y=- (-5x+28)
4
then simplify if you need more steps i will show
the hamster walked x feet. the guinea pig walked 1/4 more than that.
Answer:
2x+\(\frac{1}{4}\)
Step-by-step explanation:
hamster=x
guinea pig = x+ 1/4
x+x=2x
then just add the 1/4
true/false. in a coordinate system a vector is oriented at angle
In a coordinate system, a vector is oriented at an angle this statement is false.
In a coordinate system, vectors are typically represented by their components along the coordinate axis . These components determine the direction and magnitude of the vector. The orientation of a vector is determined by the angles it makes with the coordinate axis or by the direction cosines or direction angles that specify its direction in space.
The direction of a vector can be represented using angles, such as the azimuthal angle (horizontal angle) and inclination angle (vertical angle) in spherical coordinates or the angles of inclination from the positive x-axis and positive z-axis in cylindrical coordinates.
Therefore, it is incorrect to say that a vector is oriented at an angle in a coordinate system. The orientation of a vector is defined by its components or direction angles relative to the coordinate axis.
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True. In a coordinate system, a vector can be oriented at any angle with respect to the reference axis.
In a coordinate system, a vector can be oriented at any angle with respect to the reference axis. The angle at which a vector is oriented is measured with respect to a reference axis, usually the positive x-axis. This angle is typically measured in degrees or radians.
The orientation of a vector can be described using trigonometric functions such as sine, cosine, and tangent. These functions relate the angle of orientation to the coordinates of the vector in the coordinate system. For example, the x-coordinate of a vector can be determined using the cosine function, while the y-coordinate can be determined using the sine function.
The orientation of a vector can also be represented using direction angles. In two-dimensional space, the orientation of a vector can be described using a single angle. In three-dimensional space, the orientation of a vector can be described using direction angles, which are the angles between the vector and each of the coordinate axes.
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22.
Makes s the subject
\( \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}\)
Step-by-step explanation:
\( \sqrt{p} = \sqrt[r]{w - {as}^{2} } \)
Find raise each side of the expression to the power of r
That's
\(( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} \)we have
\(( \sqrt{p} )^{r} = w - {as}^{2} \)Send w to the left of the equation
\(( \sqrt{p} )^{r} - w = -{as}^{2} \)Divide both sides by - a
We have
\( {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} \)Find the square root of both sides
We have the final answer as
\(s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } \)Hope this helps you
Help me do this please
Answer:
I think that ,The volume is 49.5 cm3
Question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior .
a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.
Here are the three functions given:
f(x) = x -4
g(x) = 2x + 2
c(x) = x + 1
a) The product of function f(x) and g(x)
f(x). g(x) = (x -4). ( 2x + 2)
= x( 2x + 2) - 4(2x + 2)
= 2x² + 2x - 8x - 8
= 2x² - 6x -8
b) product of function f(x). g(x) and a(x)
f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)
= x( 2x² - 6x - 8) + 1(2x² -6x - 8)
= 2x³ - 6x² -8x + 2x² - 6x -8
= 2x³ -4x² - 14x - 8
Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.
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Given g(x)=√x - 4 + 3 find g-¹(5)=
A 26
B 67
C4
D 8
Answer:
D
Step-by-step explanation:
D.D.D..D.D.D.D.D.D.D.D D D. D.D.D.
what goes to which one
Answer:
1.3/5
2.-3/7
3.-1/4
4.1/2
Step-by-step explanation:
Answer:
1 4 6 3 7 2 5
Step-by-step explanation:
difference between a number and its positive square root is 12.find the number
Answer:16
Step-by-step explanation:
x-\(\sqrt{x}\)=12
x=16
3. A cookie recipe calls for a cup of flour. Davonna docsn't want loftover cookies, so she
decides to make just half of the recipe. How much four will she need?