need help asappp
The number of students in Avery highschool is 590 this year, an increase of 18% over last year. how many students were there last year.
Answers
Answer:
483.8
Step-by-step explanation:
the 18% of 590 is 106.2
Related Questions
A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s ( t ) = -16 t2 + 64 t + 400.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.
Answers
What is the measure of angle A?
Answers
Answer: 110
Step-by-step explanation:
I guessed
Answer:
I remember this when I was in grade 5 the answer is 250 now I am in college
The black graph is the graph of y =f(x). Choose the equation for the red graph. A. y - 1 = f() B. y + 1 = f() C. = f(x - 1) D. f(x)
Answers
Answer: C
Step-by-step explanation:
The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.
Hannah swims in a swimming pool of 25 metres long.
How many laps does she need to complete for a total distance of 0.5 kilometre?
Answers
She needs to complete 20 laps for a total distance of 0.5 kilometer.
1 kilometers = 1000 meters
0.5 kilometers = 500 meters
Length of swimming pool = 25 meters
That means, she covers 25 meters in 1 lap.
Laps to cover 500 meters = 500/25
= 20
Hence, she needs to do 20 laps.
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Compute the first- and second order partial derivatives of the
function defined: f (x,y) = 3xy - 2xy 2- x2y
.
Answers
The first- and second order partial derivatives of the function f(x,y) = 3xy - 2xy² - x²y are:
∂f/∂x = 3y - 4xy - x², ∂f/∂y = 3x - 4xy - x²∂²f/∂x² = -4y, ∂²f/∂y² = -4x and ∂²f/∂y∂x = -4y.
Given function:
f (x,y) = 3xy - 2xy² - x²y
Let's find the first order partial derivatives.
1. First order partial derivative with respect to x.
Keep y constant and differentiate with respect to x.∂f/∂x = 3y - 4xy - x²2.
First order partial derivative with respect to y
Keep x constant and differentiate with respect to y.
∂f/∂y = 3x - 4xy - x²
Let's find the second order partial derivatives.
1. Second order partial derivative with respect to x.
Keep y constant and differentiate ∂f/∂x with respect to x.∂²f/∂x² = -4y2. Second order partial derivative with respect to y.Keep x constant and differentiate ∂f/∂y with respect to y.∂²f/∂y² = -4x3. Second order partial derivative with respect to x and y.
Keep x and y constant and differentiate ∂f/∂y with respect to x.∂²f/∂y∂x = -4y
From the above steps, we can say that the first order partial derivatives are:∂f/∂x = 3y - 4xy - x²and ∂f/∂y = 3x - 4xy - x²The second order partial derivatives are:
∂²f/∂x² = -4y∂²f/∂y² = -4x
and ∂²f/∂y∂x = -4y
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In this triangle, a = 6 cm, b = 8 cm, and c = 10 cm.
What is the area of this triangle?
24 cm²
30 cm²
40 cm²
48 cm²
Answers
Answer:
A) 24 cm²
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 6
h = 8
Work:
A = 0.5bh
A = 0.5(6)(8)
A = 3(8)
A = 24
\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)
Right answer is option A
24 cm²
Step-by-step explanation:
To find :-The area of triangle
Given :-a = 6 cm, b = 8 cm, c = 10 cm
Solution :-He know
\( \mathfrak {Area \: of \: triangle = \frac{1}{2} \times base \times height}\)
Here (a) acts like base
while (b) acts like height
Now substituting the values
\( \sf \longmapsto Area = \frac{1}{2} \times a \times b \\ \\ \\ \sf \longmapsto Area = \frac{1}{2} \times 6 \times 8 \\ \\ \\ \sf \longmapsto Area = 3 \times 8 \\ \\ \\ \sf \purple{\boxed {\longmapsto Area = 24 \: {cm}^{2} }}\)
Let F(x) = f(x ^ 9) and G(x) = (f(x)) ^ 9 You also know that a ^ 8 = 5 , f(a) = 2; f^ prime (a)=15, f^ prime (a^ 9 )=6
Answers
Solution
- The solution steps are given below;
Question 1
\(\begin{gathered} F(x)=f(x^9) \\ \text{ Let }x^9=u \\ F(u)=f(u) \\ F^{\prime}(u)=\frac{d}{du}F(u)=f^{\prime}(u) \\ \\ \frac{du}{dx}=\frac{d}{dx}(x^9)=9x^8 \\ \\ F^{\prime}(x)=\frac{d}{du}F(u)\times\frac{du}{dx} \\ \\ F^{\prime}(x)=f^{\prime}(u)\times9x^8 \\ \\ F^{\prime}(x)=f^{\prime}(x^9)\times9x^8 \\ \\ \text{ Thus, put }x=a \\ \\ F^{\prime}(a)=f^{\prime}(a^9)\times9a^8 \\ \text{ But we have been given:} \\ f^{\prime}(a^9)=6 \\ a^8=5 \\ \\ \therefore F^{\prime}(a)=5\times6=30 \end{gathered}\)Question 2:
\(\begin{gathered} G(x)=(f(x))^9 \\ \text{ Let }u=f(x) \\ \frac{d}{dx}u=u^{\prime}=f^{\prime}(x) \\ \\ G(u)=u^9 \\ \frac{d}{du}G(u)=G^{\prime}(u)=9u^8 \\ \\ \frac{d}{du}G(u)\times\frac{d}{dx}u=f^{\prime}(x)\times9u^8 \\ \\ G^{\prime}(x)=f^{\prime}(x)\times9(f(x))^8 \\ \\ put\text{ }x=a \\ \\ G^{\prime}(a)=f^{\prime}(a)\times9(f(a))^8 \\ \text{ We know that:} \\ f^{\prime}(a)=15 \\ f(a)=2 \\ \\ \text{ Thus, we have:} \\ G^{\prime}(a)=15\times9(2)^8 \\ G^{\prime}(a)=34560 \end{gathered}\)Suppose I have an organization that has 60 people, 35 are women and 25 are men. We need to select a committee of 11 people. How many ways can such a committee be formed
Answers
Using the combination formula, it is found that such a committee can be formed in 342,700,125,300 ways.
The order in which the people are selected is not important, hence, the combination formula is used to solve this question.
What is the combination formula?\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this problem, 11 people are taken from a set of 60, hence:
\(C_{60,11} = \frac{60!}{11!49!} = 342700125300\)
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a.by calculating differences, show that these data can be modeled using a linear function.b.what is the slope for the linear function model-ing high school graduations? explain in practical terms the meaning of the slope.c.find a formula for a linear function that models these data.d.express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Answers
We can show that these data can be modeled using a linear function in the following manner:
a) We must compute the differences in the number of high school graduates in each year in order to model the data using a linear function. For instance, the difference between the 1993 and 1994 graduation rates is 5,479 - 5,410, or 69. This pattern of differences suggests that a linear function can be used to model the data.
The annual change in the number of graduates serves as the slope for the linear function. The slope, for instance, is 69 between 1993 and 1994 and 76 between 1994 and 1995. The slope for the linear function is, in general, the difference between the number of graduates in successive years, therefore it is the slope between graduates in consecutive years.
b) Y = mx + b, where y is the number of graduates, x is the year, m is the slope, and b is the y-intercept, is the formula for a linear function that represents the data. We need to know the values of m and b in order to calculate the formula for the linear function that describes the data.
We can use the slope between any two consecutive years to get the value of m. For instance, m = 69 since the slope from 1993 to 1994 is 69. The number of graduates in the first year of the data, which is the y-intercept, can be used to determine the value of b.
For instance, if the first year of the data is 1993 and that year had 5,479 graduates, then b = 5,479. Consequently, y = 69x + 5,479 is the equation for the linear function that models the data.
c) Functional notation can be used to indicate the number of high school graduates in 1994. The formula is y = 69x + 5,479, where x is the year and y is the total number of graduates. Therefore, y = 69(1994) + 5,479 = 137,123 is the total number of graduates in 1994. We may enter the numbers of x and b into the formula from section c to obtain y = 69 (1994) + 5,479 = 137,123.
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find the $1314^{\text{th}}$ digit past the decimal point in the decimal expansion of $\dfrac{5}{14}$.
Answers
The $1314^\text{th}$ digit past the decimal point is 2.
To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.
The long division of $\frac{5}{14}$ is as follows:
```
0.35 <-- Quotient
-----
14 | 5.00
4.2 <-- Subtract: 5 - (14 * 0.3)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
100 <-- Bring down the 0
98 <-- Subtract: 100 - (14 * 7)
-----
20 <-- Bring down the 0
14 <-- Subtract: 20 - (14 * 1)
-----
60 <-- Bring down the 0
56 <-- Subtract: 60 - (14 * 4)
-----
40 <-- Bring down the 0
28 <-- Subtract: 40 - (14 * 2)
-----
120 <-- Bring down the 0
112 <-- Subtract: 120 - (14 * 8)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
...
```
We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.
Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.
So, the $1314^\text{th}$ digit past the decimal point is 2.
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The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 135 servings. The average was 11.9 g and the standard deviation was 1.1 g. Find a 95% confidence interval for the mean sugar content. Round the answers to three decimal places. The 95% confidence interval is ( , ).
Answers
Answer:
y
Step-by-step explanation:
Suppose you want to calculate the z-score for your height. How will the z-scores compare if you use your height in inches verses centimeters?
Answers
The z-scores will be the same regardless of the unit used for your height because z-scores are unitless.
How to Calculate z-score?The z-score will be the same regardless of whether height is measured in inches or centimeters. The z-score is a standardization of a value, which means that it represents the number of standard deviations a value is from the mean of a data set. The z-score is calculated as the difference between a value and the mean of the data set, divided by the standard deviation of the data set.
The formula for calculating the z-score is:
z = (x - μ) / σ
where:
x is the value being standardized
μ is the mean of the data set
σ is the standard deviation of the data set
The z-score will be the same regardless of whether height is measured in inches or centimeters. The z-score is a standardization of a value, which means that it represents the number of standard deviations a value is from the mean of a data set. The z-score is calculated as the difference between a value and the mean of the data set, divided by the standard deviation of the data set. The units used to measure the value do not affect the z-score, as long as the units are consistent within the data set.
So, if height is measured in inches for one data set and in centimeters for another, the z-scores for a given height will be the same, as long as the mean and standard deviation are calculated for the appropriate data set.
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2√10c (4√30 + 3√/2c³)
Answers
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
You gave 2√10c (4√30 + 3√2c³) so...
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
And that is your answer
Answer:
80√3c+12√5c⁴
Step-by-step explanation:
2√10c (4√30 + 3√2c³) so first things first:
1.) Distribute
You will then get 8√300c+6√20c⁴
2.) Simplify the radical expression and you will get
8x10√3c+6x2√5c⁴
3.) Calculate
80√3c+12√5c⁴
Read the following statements.
Statement 1: "If she is stuck in traffic, then she is late."
Statement 2: "If she is late, then she is stuck in traffic."
Statement 3: "If she is not late, then she is not stuck in traffic."
Karen writes, "Statement 2 is the converse of statement 3 and contrapositive of statement 1."
Laura writes, "Statement 2 is the converse of statement 1 and inverse of statement 3."
Who is correct?
Answers
Based on the given statements, the person who is correct about the converse, inverse, and contrapositive statements is Laura.
What are inverse and converse statements?Assuming that you have an original statement of "If C then B," the inverse of that statement would be "If not C then not B."
The converse of the original statement would be, "If B then C."
This shows that Lauren is correct in saying that "Statement 2 is the converse of statement 1" because it says "If B(late) then C(traffic).
And that Statement 2 is the inverse of statement 3 because it says that "If not C (late) then not B (traffic).
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*for this question*
only laura is correct
and for anyone who is here for the kim and sue question, both sue and kim are incorrect.
Roger has a credit card with an APR of 19.40% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of June
Date 611 6/6 Amount ($) Transaction 265.40 Beginning balance 90.00 Payment 43.33 Purchase 37.71 Purchase 6/16 6/22 If Roger's finance charge for June is $3.56, which method of calculating the finance charge does Roger's credit card company use?
daily balance method
b. adjusted balance method previous balance method
d. there is not enough information to determine which method was used
Answers
Answer:
The daily balance method
Step-by-step explanation:
The method of calculating the finance charge that Roger's credit card company uses is A. daily balance method.
What is the daily balance method?The daily balance method of calculating credit card's finance charge uses the actual daily balance of the billing cycle instead of being based on an average of the balance throughout the billing cycle.
Using the daily balance method, the finance charges are calculated by summing daily balance multiplied by the daily rate or APR/365.
Data and Calculations:APR = 19.40%
Monthly APR = 1.62% (19.4%/12)
Daily APR = 0.053%
Date Transaction Amount ($)
6/6 Beginning balance 90.00
6/11 Payment 43.33
6/16 Purchase 37.71
6/22 Purchase 265.40 $349.78
Finance charge = 3.56
Ending balance = $353.34
Thus, the method of calculating the finance charge that Roger's credit card company uses is A. daily balance method.
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Solve the triangle for all missing sides and angles
Answers
Answer:
x = 35
C = 18.92
A = 71.07
Step-by-step explanation:
x)
Use the Pythagorean theorem to find the unknown side.
\(a^{2} +b^{2} =c^{2} \\\\\\12^{2} +x^{2} =37^{2} \\x^{2} = 37^{2}-12^{2}\\x=35\)
For Angle C
The angle C can be found using the inverse sine function.
C=arcsin(opp/hyp)
C=arcsin(12/37)
C=18.92
For Angle A
The sum of all the angles in a triangle is 180 degrees.
A + 90 + 18.92 = 180
A = 71.07
1 x 10 000 + 7 x 1 000 + 4 x 100 + 0 x 10 + 2 x 1
Answers
The value of the numerical expression 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1 will be 17,402.
What is the value of the expression?The outcome of the expression corresponds to the outcome of the computation it represents when the pertinent elements and fundamental operations of a mathematical model are assigned values.
Making something a little less complicated while also making it simpler to accomplish or understand is the concept of easiness.
The numerical expression is written below.
⇒ 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1
Simplify the expression, then we have
⇒ 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1
⇒ 10,000 + 7,000 + 400 + 0 + 2
⇒ 17,402
The value of the numerical expression 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1 will be 17,402.
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The complete question is given below.
Find the value of the expression.
1 x 10 000 + 7 x 1 000 + 4 x 100 + 0 x 10 + 2 x 1.
Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,180 pounds to 4,449 pounds.
[a] Mean weight of a randomly chosen vehicle
[b] Standard deviation of a randomly chosen vehicle
[c] Probability a vehicle will weigh less than 2,389 pounds
[d] Probability a vehicle will weigh more than 3,672 pounds
[e] Probability a vehicle will weigh between 2,389 and 3,672 pounds
Answers
The mean weight of a randomly chosen vehicle can be calculated by taking the average of the minimum and maximum weights:
Mean = (2,180 + 4,449) / 2 = 3,314.5 pounds
The standard deviation of a uniformly distributed random variable can be calculated using the following formula:
Standard Deviation = (Max - Min) / √12
Standard Deviation = (4,449 - 2,180) / √12 ≈ 652.48 pounds
To find the probability that a vehicle will weigh less than 2,389 pounds, we need to calculate the proportion of the total range that falls below 2,389 pounds:
Probability = (2,389 - 2,180) / (4,449 - 2,180) ≈ 0.317
To find the probability that a vehicle will weigh more than 3,672 pounds, we need to calculate the proportion of the total range that exceeds 3,672 pounds:
Probability = (4,449 - 3,672) / (4,449 - 2,180) ≈ 0.361
To find the probability that a vehicle will weigh between 2,389 and 3,672 pounds, we need to calculate the proportion of the total range that falls within this interval:
Probability = (3,672 - 2,389) / (4,449 - 2,180) ≈ 0.322
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A restaurant used 231 eggs last week. Of these, 46 were brown. The remaining eggs were white. Which equation can be used to solve for w, the number of white eggs used last week?
Answers
w = 231 - 46
hope it helps...!!
Answer:
185
Step-by-step explanation:
\(x + 46 = 231 \\ x = 231 - 46 \\ x = 185\)
We will investigate a random sample of 150
service reps in a company
Consider the data in the "Race" column.
63 minorities and 87 Non-minorities
a) Find a point estimate for the proportion of all
Answers
The point estimate for the proportion of all service reps who are minorities, based on the random sample of 150 individuals, is 21/50.
To find the point estimate for the proportion of all service reps who are minorities, we can use the formula:
Point Estimate = Number of minorities in the sample / Total sample size
According to the given data, we have 63 minorities and 150 individuals in the sample. Therefore, the point estimate for the proportion of all service reps who are minorities is:
Point Estimate = 63 / 150
To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 63 and 150, which is 3:
Point Estimate = (63 ÷ 3) / (150 ÷ 3)
= 21 / 50
Hence, the point estimate for the proportion of all service reps who are minorities is 21/50.
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Which of the following is the maximum value of the function y = -x2 + 2x + 1?
Answers
We first complete the square.
y=-x^2+2x+1
y=-x^2+2x-1+1+1
y=-(x-1)^2+2
The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.
The maximum point is (1,2) but the maximum value means the y value which is simply just 2.
Done!
What scale factor takes hexagon J to hexagon K?
Answers
Answer:
Step-by-step explanation:
boody boody
I need to know what is the find m<ACD
Answers
Answer:
28
Step-by-step explanation:
if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other
28 because they are equall
Carrie buys 7/8 pound of red apples and 15/16 pound of green apples. Which answer is the most accurate estimate for how many more pounds of green apples she buys than pounds of red apple?
0 Pounds
1 Pound
1/2 Pounds (10 Points)
Answers
Answer:
0 pounds
Step-by-step explanation:
To bring \(\frac{7}{8}\) to 16ths it goes to \(\frac{14}{16}\)
A researcher would like to visually examine whether a variable is approximately normally distributed. Which of the figures below is NOT suitable for this objective? O Stem-and-leaf plat O Boxplot O Histogram O Pie chart
Answers
The suitable figures for visually examining whether a variable is approximately normally distributed are the Stem-and-leaf plot, Boxplot, and Histogram.
The figure that is NOT suitable for visually examining whether a variable is approximately normally distributed is the Pie chart.
A pie chart is used to display the proportion or percentage distribution of categorical data. It divides a whole into slices that represent different categories or groups. It is not suitable for examining the distribution of a continuous variable, such as assessing whether it follows a normal distribution.
On the other hand, the other three figures mentioned are commonly used for assessing the distribution of continuous variables:
Stem-and-leaf plot: This plot displays the distribution of the data values in a compact manner. It shows individual data points and their frequency, allowing for visual inspection of the shape of the distribution.
Boxplot: Also known as a box-and-whisker plot, this graphical representation displays the summary statistics of a dataset, including the median, quartiles, and outliers. It provides a quick visual overview of the distribution and helps identify skewness or outliers.
Histogram: A histogram is a graphical representation that shows the distribution of data by dividing it into bins and displaying the frequency of data points within each bin. It provides a visual depiction of the shape of the distribution, including whether it is approximately normal or skewed.
Therefore, the suitable figures for visually examining whether a variable is approximately normally distributed are the Stem-and-leaf plot, Boxplot, and Histogram.
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What are the degree and leading coefficient of the polynomial? -18v^4 + 5v^3 + 9 + 3v
Answers
Answer:
Step-by-step explanation:
The highest power of v is the fourth, so this polynomial is of the 4th degree.
The coefficient of the leading coefficient is -18.
Answer:
Degree: 4
Leading coefficient: -18
Step-by-step explanation:
Plz, help me with this question!
Answers
Answer:
A. Triangular Prism
Step-by-step explanation:
Pyramids have a square base, so it's not that. and it is not rectangular, so it's not that either
Explain whether the graph represents a function.
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
the probability of serena serving an ace in tennis is 0.15, and the probability that she double faults is 0.25. (note that you cannot both ace and double fault at the same time.) what is the probability that serena does not serve an ace or a double fault?
Answers
The probability that Serena does not serve an ace or a double fault is 0.6, when the probability of Serena serving an ace in tennis is 0.15, and the probability that she double faults is 0.25.
Define probability.The formula of the favorable outcome over the total outcomes is used to describe probability. The likelihood of flipping a coin heads is one example. Given that there is only one head and two total sides, 50% of the time, a head will land up-side-down.
Given,
Serve tennis probability = 0.15
No ace probability = 1-0.15
No ace probability = 0.85
Double fault probability = 0.25
No double fault probability = 1-0.25 = 0.75
No double fault probability = 0.75
The probability of not receiving an Ace or Double Fault: is
= 0.75 ×0.85
= 0.6.
The probability that Serena does not serve an ace or a double fault is 0.6.
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Explain the working principle of LVDT with a neat sketch. State its advantages.
Answers
Linear Variable Differential Transformer (LVDT) is an electromechanical transducer used for linear position sensing. It's one of the most accurate and dependable sensors for measuring linear displacement.
The basic working principle of an LVDT is based on the mutual inductance of two coils, the primary and the secondary, which are wound on a cylinder-shaped ferromagnetic core.LVDT Working Principle:The LVDT contains a primary coil of wire wound on a tube, as well as two secondary coils wound on a cylindrical former in an opposing position to one another. The cylinder's axial centerline is made up of the former. The primary coil of the LVDT is connected to an AC voltage source, typically in the range of 1 to 10 kHz, as shown in the figure below.When the ferromagnetic core is positioned in the LVDT's core position, equal voltage is generated in the two secondary windings since they are magnetically coupled. Since the secondary coil's position corresponds to the core position, this voltage is proportional to the position of the core.
As a result, the voltage signal from the LVDT may be used to determine the core's linear position.Disadvantages and Advantages of LVDT:Disadvantages of LVDT are as follows:It may only sense one directional linear motion.The temperature range that the sensor can operate in is limited.The LVDT's output signal is susceptible to distortion because of the presence of harmonics in the input supply.Advantages of LVDT are as follows:It is a very sensitive transducer with high precision and resolution.It is a reliable and long-lasting instrument with a high repeatability rate.It doesn't have any electrical contact with the core, making it a non-contact device.It is unaffected by environmental factors such as moisture, vibration, and other external factors.It's a low-cost instrument that's simple to set up and use.
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