Answer:
the 2nd one is 1,5
Step-by-step explanation:
the 3rd one is 8,5
Norma picked 14 peaches. Sophia picked p times as many peaches as Norma. Write an expression that shows how many peaches Sophia picked.
Let
v⃗ 1=[−12] and v⃗ 2=[1−1].v→1=[−12] and v→2=[1−1].
Let T:ℝ2→ℝ2T:R2→R2 be the linear transformation satisfying
T(v⃗ 1)=[−11−9] and T(v⃗ 2)=[56].T(v→1)=[−11−9] and T(v→2)=[56].
Find the image of an arbitrary vector [xy].
can anyone help me ? Thanks.
The image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
To find the image of an arbitrary vector [xy] under the linear transformation T, we can use the linearity property of T.
Since T is a linear transformation, we have:
\(T([xy]) = T(xv_1 + yv_2)\)
Using the linearity property, we can expand this expression:
\(T([xy]) = xT(v_1) + yT(v_2)\)
Substituting the given values of \(T(v_1)\) and \(T(v_2)\), we get:
T([xy]) = x[-11-9] + y[56]
T([xy]) = [-11x - 9x + 56y]
Therefore, the image of an arbitrary vector [xy] under the linear transformation T is given by the vector [-11x - 9x + 56y].
To know more about linear transformation visit;
https://brainly.com/question/13595405
#SPJ4
Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
For more such questions on last term visit:
https://brainly.com/question/30442577
#SPJ8
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
please help ill give brainly and 20 points
Answer:
6
Step-by-step explanation:
can i have brainliest
1) Find the value of x and y
X
15
78
10
Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.
What are the values of x and y?To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.
Applying law of cosine;
x² = 15² + 10² - 2(15)(10)cos78
x² = 225 + 100 - 300cos78
x² = 225 + 100 - 62.4
x² = 262.6
x = √262.6
x = 16.2 units
From this, we can apply law of sine to determine y;
x / sin X = y / sin Y
Substituting the values into the formula above;
16.2 / sin78 = 10 / sin y
Cross multiply both sides and solve for y;
16.2siny = 10sin78
sin y = 10sin78 / 16.2
sin y = 0.6038
y = sin⁻¹ (0.6038)
y = 37.14°
Learn more on law of sine here;
https://brainly.com/question/30401249
#SPJ1
Each time any customer enters a coffee shop, there
is a probability of that their order will include a
latte.
3
If the order includes a latte, there is a probability of
3 that it will also include a cookie.
4
If the order does not include a latte, there is a
2
probability of that it will include a cookie.
What is the probability that the next customer to
enter the shop will order a cookie?
The probability that the next customer to enter the shop will order a cookie is given as follows:
31/60.
How to calculate a probability?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.
The outcomes in which a cookie is ordered are given as follows:
3/4 of 1/3 -> includes a latte.2/5 of 2/3 -> does not include a latte.Hence the probability is obtained as follows:
3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
What is the scale factor of the dilation?
The scale factor of the dilated is 1/2
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Samantha owns stock worth $4,000. she owes $10,100 in student loans and 1,600 on a credit card. she also owes $2,500 on a car that is worth $12,000. what is samantha's net worth in dollars?
6,800 $ is samantha's net worth in dollars.
What net worth means?
Net worth is the value of all assets, minus the total of all liabilities. Put another way, net worth is what is owned minus what is owed. This net worth calculator helps determine your net worth. It also estimates how net worth could grow or decline over the next 10 years.How you calculate your net worth?
Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.Samantha total assets = 4000 + 2500 + 12000 = 18500$
Samantha total debts = 10100 + 1600 = 11700$
Samantha total worth = 18,500 - 11,700 = 6,800 $
Learn more about net worth
brainly.com/question/12294231
#SPJ4
Determine the sample size required to estimate a population mean to within 12 units given that the population standard deviation is 56. A confidence level of 90% is judged to be appropriate.
The sample size required to estimate the population mean within 12 units, with a population standard deviation of 56 and a confidence level of 90%, is approximately 119.
To determine the sample size required for estimating a population mean, we can use the formula:
n = (Z * σ / E)²
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, 90% confidence level)
σ = population standard deviation
E = desired margin of error
In this case, the population standard deviation is given as 56, and the desired margin of error is 12 units. To find the Z-score for a 90% confidence level, we can refer to the standard normal distribution table or use statistical software. The Z-score for a 90% confidence level is approximately 1.645.
Plugging in the values into the formula, we have:
n = (1.645 * 56 / 12)²
n ≈ 118.67
Since we cannot have a fractional sample size, we round up to the nearest whole number. Therefore, the sample size required is approximately 119.
Learn more about sample size
brainly.com/question/30100088
#SPJ11
Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6
Answer:
the answer is B
Answer:
its b
Step-by-step explanation:
The size of a certain insect population is given by P(t), where t is measured in days. (a) How many insects were present initially? (b) Give a differential equation satisfied by P(t). (c) At what time will the population double? (d) At what time will the population equal ?
(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.
(c) To find the time it takes for the population to double, we can use the formula:
2P(0) = P(0)e^(kt)
where P(0) is the initial population size. Solving for t, we get:
t = ln(2)/k
(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.
(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]
(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]
(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]
(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]
Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.
Learn more about population here : brainly.com/question/27991860
#SPJ11
Simplify the rational expression:
x2 -2x-24 / x2+7x+12 (MULTIPLIED BY)
x2-1/ x-6
The simplified rational expression is (x + 1)(x - 1) / (x + 3).
How to simplify the given rational expression?To simplify the given rational expression (x^2 - 2x - 24) / (x^2 + 7x + 12) multiplied by (x^2 - 1) / (x - 6), follow these steps:
Step 1: Factor the expressions where possible.
(x^2 - 2x - 24) = (x - 6)(x + 4)
(x^2 + 7x + 12) = (x + 4)(x + 3)
(x^2 - 1) = (x + 1)(x - 1)
Step 2: Rewrite the expression with the factored terms.
((x - 6)(x + 4)) / ((x + 4)(x + 3)) * ((x + 1)(x - 1)) / (x - 6)
Step 3: Cancel common factors in the numerator and denominator.
The (x - 6) terms cancel, and the (x + 4) terms cancel.
Step 4: Rewrite the simplified expression.
(x + 1)(x - 1) / (x + 3)
So, the simplified rational expression is (x + 1)(x - 1) / (x + 3).
Learn more about rational expression
brainly.com/question/19585906
#SPJ11
Please help
its Frequency Distribution table
The answer is:
A frequency distribution for a collection of data is shown in the accompanying table.
The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.
For instance, the first row demonstrates that 4 observations fall within the range of 10 to 19 while the second row demonstrates that 5 observations fall within the range of 20 to 29.
We only combine the frequencies to determine the total number of observations:
Total observations equal 25 (4 + 5 + 8 + 7 + 1 = 25)
By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:
Midpoint: (14.5) (10 + 19) / 2
This may be done for each interval, and to display the midpoints, we can add a third column to the table.
The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.
The finished table is shown here:
Interval Frequency Midpoint Cumulative Frequency
10-19 4 14.5 4
20-29 5 24.5 9
30-39 8 34.5 17
40-49 7 44.5 24
50-59 1 54.5 25
To know more about Distribution table visit:
brainly.com/question/12385304
#SPJ1
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = ex, y = x2 − 1, x = −1, x = 1
\(e-\frac{1}{e} +\frac{4}{3} 0r 3.687\) is the value when the equation is to integrate with respect to x or y
we integrate with respect to x
Area = \(\int\limits^b_a{(f(x)-g(x))} \, dx\)
= \(\int\limits^1_-1{e^{x}-x^{2} +1 } \, dx\)
=\(e^{x} -\frac{x^{3} }{3} +x\)
substitute 1 and -1 in place of x
= \((e-\frac{1}{3}+1-\frac{1}{e} -\frac{1}{3} +1)\)
= \(e-\frac{1}{e} + \frac{4}{3} or 3.6837\)
The diagram was attached in the given below.
Learn more about integration here
https://brainly.com/question/18125359
#SPJ4
Solve the following inequality algebraically.
x + 2 < 11
Answer:
x < 9
Step-by-step explanation:
Subtract 2 from both sides so you can isolate the variable on the left.
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
A concrete mixture contains 4 cubic yards of cement for every 20 cubic yards of grit. If a mason orders 50 cubic yards of cement, how much grit (in cubic yards) should he order if he is to use all of the cement?
The grit that he should order if he is to use all of the cement is 10 cubic yards.
How to calculate the value?From the information, a concrete mixture contains 4 cubic yards of cement for every 20 cubic yards of grit.
Therefore, when a mason orders 50 cubic yards of cement, this can be illustrated as x.
4/x = 20/50
Cross multiply
20x = 50 × 4
20x = 200
Divide
x = 200/20
x = 10
The value is 10 cubic yards.
Learn more about rate on:
brainly.com/question/25537936
#SPJ1
a cellular diameter of 40 micrometers is equivalent to:
The cellular diameter of 40 micrometers is equal to 0.04 millimeters.
The cellular diameter of 40 micrometers is equal to 0.04 millimeters. This can be calculated by multiplying the cellular diameter in micrometers by 0.001. This calculation is best understood when represented in a graphical form. The cellular diameter of 40 micrometers can be represented by a bar graph, with the bar measuring 40 micrometers. To convert this to millimeters, the bar needs to be shifted 0.001 times the length of 40 micrometers. Thus, the new bar graph after the conversion will measure 0.04 millimeters. This is equivalent to the cellular diameter of 40 micrometers.
Learn more about cellular diameter here:
https://brainly.com/question/15047456
#SPJ4
In a company's first year in operation, it made an annual profit of
$
236
,
000
$236,000. The profit of the company increased at a constant 20% per year each year. How much total profit would the company make over the course of its first 19 years of operation, to the nearest whole number?
Answer:
89,680,000
Step-by-step explanation:
236,000×20=4,720,000×19=89,680,000
Answer:36518640
Step-by-step explanation:
Construct a 95% confidence interval (1 point) Q-2 (7 Points) 2. Following are three data points on dependent (Y) and one explanatory variable(x). Fit a regression model by minimizing the sum of squared residuals.(s Points) Y X 3 1 5 1 4 3 Yr the herved values, + Ax Yare the fitted values, and are the residuals
It is not possible to provide a precise explanation or calculation for constructing a confidence interval or fitting a regression model in this context.
What are the steps for solving a quadratic equation by factoring?To construct a confidence interval, several key components are needed:
Sample Size: The number of observations or data points in the sample.Sample Mean: The average value of the data points in the sample.Sample Standard Deviation: A measure of the spread or variability of the data points in the sample.Confidence Level: The desired level of confidence, typically expressed as a percentage (e.g., 95%).With these components, a confidence interval can be calculated to estimate the true population parameter (e.g., mean, proportion) within a certain range.
The formula for constructing a confidence interval depends on the specific parameter being estimated and the distribution of the data.
In the case of a regression model, additional information is needed, such as the equation or relationship between the dependent variable (Y) and explanatory variable (X).
This equation is used to estimate the fitted values and residuals.
Fitted values are the predicted values of the dependent variable based on the regression model, while residuals are the differences between the observed values and the fitted values.
Without the specific details of the sample size, mean, standard deviation, and the regression equation.
Learn more about precise explanation
brainly.com/question/1008284
#SPJ11
Mrs. harris is a librarian at eastside library. in examining a random sample of the library's book collection, she found the following. 661 books had no damage, 78 books had minor damage, and 26 books had major damage. based on this sample, how many of the 73,500 books in the collection should mrs. harris expect to have minor damage? round your answer to the nearest whole number. do not round any intermediate calculations.
The number of minor damaged books in 73500 book collection is 8,673 books.
Given that, 661 books had no damage, 78 books had minor damage, and 26 books had major damage.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the minor damaged books be x.
Now, 78 : 661 :: x : 73,500
⇒ 661x = 73500 × 78
⇒ 661x = 57,33,000
⇒ x = 57,33,000 ÷ 661
⇒ x = 8,673.22
≈ 8,673
Therefore, the number of minor damaged books in 73500 book collection is 8,673 books.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ1
M∠V=(2x+2) ∘ , and m ∠ W = ( 3 x + 4 ) ∘ m∠W=(3x+4) ∘. Find m ∠ V. M∠V
the measure of angle V is approximately 21.87 degrees. To find the measure of angle V, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we can write:
m∠V + m∠W + m∠X = 180
where angle X is the third angle in the triangle formed by V, W, and X. We know that m∠W is (3x+4) degrees, and we can see that angle X is adjacent to angle V, so we can use the fact that the sum of adjacent angles is equal to the total angle to write:
m∠V + m∠X = (2x+2) degrees
Now we can substitute this expression for m∠X into the first equation to eliminate m∠X:
m∠V + (2x+2 - m∠V) + (3x+4) = 180
Simplifying and solving for x, we get:
5x + 6 = 180
5x = 174
x = 34.8
Now we can substitute this value of x back into our expression for m∠V + m∠X to find m∠V:
m∠V + (2(34.8)+2 - m∠V) = 71.6
Simplifying and solving for m∠V, we get:
3m∠V = 65.6
m∠V = 21.87 (rounded to two decimal places)
Therefore, the measure of angle V is approximately 21.87 degrees.
To know more about measure of angle click here:
brainly.com/question/16352647
#SPJ4
20 points for answer
Answer:
x = 11
Step-by-step explanation:
Convert decimals to integers: \(\frac{3x-21}{30} =0.4\)
Multiply both sides of the equation by the common denominator: \(\frac{(3x-21)*30}{30} =0.4*30\)
Reduce the fraction: \(3x-21=0.4*30\)
Calculate the product or quotient: 3x - 21 = 12
Rearrange unknown terms to the left side of the equation: 3x = 12 + 21
Calculate the sum or difference: 3x = 33
Divide both sides of the equation by the coefficient of variable: x = 33 ÷ 3
Calculate the product or quotient: x = 11
Answer:
x = 11
S someone please help me
What is the value of c in the equation 3/4 x + 2= 5/4 x -6
Answer:
c isn't in the equation so I'm assuming you're solving for x
x=16
Step-by-step explanation:
3/4x+2=5/4x-6 start by subtracting 3/4x on both sides
2=2/4x-6 now add 6 to both sides
8=2/4x at this point you can simplify 2/4 to 1/2 just to make it easier to divide
8=1/2x divide 1/2 or 0.5 by 8
x=16
Volume of a pentagonal prism is 360 inches cubed. The height of prism is 3 inches. What is the area of the pentagon base?
The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²
What is a pentagonal prism?A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.
Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,
We need to find the area of the base,
We know that, the volume of a pentagonal prism is =
V = 1/4 √(5(5+2√5)·a²h
Where a is the base edge and h is the height,
360 = 1/4·3 √(5(5+2√5)·a²
1/4·√(5(5+2√5)·a² = 120
Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²
And we have,
1/4 √(5(5+2√5)·a² = 120
Therefore, the base area is 120 in²
Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²
Learn more about pentagonal prism, click;
https://brainly.com/question/26709266
#SPJ1
Rectangle RSTU is a scaled copy of rectangle MNPQ
What is the value of x?
Answer:
7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
B . 7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
Use the Distributive Property to on the following expression:
5 (3x + 26 - 9y + 10)
Answer:
15x -45y +180
Step-by-step explanation:
5(3x)= 15x
5(26)= 130
5(-9y)= -45y
5(10)= 50
combine like terms:
15x - 45y +180