\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)
Use partial products to find 653 x 15
OA (650 x 3) + (10 x 5)
O B. (653 x 10) + (653 x 5)
O
C. (653 x 10) x (653 x 5)
<
OD. (650 + 3) (653 x 5)
We are required to find the partial product of 653 × 15.
The partial product of 653 × 15 is (653 x 10) + (653 x 5)
Given:
653 × 15 = 9795
check all options:
OA (650 x 3) + (10 x 5)
= 1,950 + 50
= 2000
O B. (653 x 10) + (653 x 5)
= 6530 + 3265
= 9795
C. (653 x 10) x (653 x 5)
= 6530 × 3265
= 21,320,450
OD. (650 + 3) (653 x 5)
= (653)(3265)
= 2,073,275
Therefore, the partial product of 653 × 15 is (653 x 10) + (653 x 5)
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Order from least to greatest 26/5,5.277,5.28,5 1/6
Step-by-step explanation:
1/6, 5,26/5,5.277,5.28
Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
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Two or more angles whose measures add up to equal 90 degrees are called
angles.
Quadrilateral is shown in the coordinate plane below.
Draw an image of quadrilateral on the coordinate plane reflected over the y-axis.
Answer:
A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected over the y axis, the new point is at A'(-x, y).
From the document attached, the vertices of the quadrilateral is at A(-6, 2), B(-6, 5), C(-3, 6) and D(-2, 1). Hence if quadrilateral ABCD is reflected over the y axis, the new point is at A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1).
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
One pair of corresponding sides of 2 similar triangles are 3 and 8 inches long, respectively. If the perimeter of the smaller triangle is 12 inches, what is the perimeter, in inches, of the larger triangle?
Answer:
Step-by-step explanation:
3 12
8
96 = 3x
x=32. the perimeter is 32
The perimeter of the larger triangle is 32 inches.
What are Similar Triangles?
Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Let the perimeter of the larger triangle would be x.
We know that the ratio of the corresponding sides is 3/8.
The perimeter of the smaller triangle is 12 inches
We can use the ratio of corresponding sides to find the length of the sides of the larger triangle.
So 3/8 = 12/x
3x = 96
x = 96/3
x = 32
Thus, the perimeter of the larger triangle would be 32 inches.
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Point K is on line segment \overline{JL} JL . Given KL=4KL=4 and JL=6,JL=6, determine the length \overline{JK}. JK
The length of JK is 4
What is a line segment?A line segment can be defined as the part of a straight line bounded by two different or separate end points, and also contains every point on the line between its endpoints.
Note that point K is the midpoint between points J and L
From the information given, we have the points:
JL= x+10KL= 4xJK= 2The expression is given as;
JL = KL + JK
Now, substitute the values
x + 10 = 4x + 2x
collect like terms
10 = 5x
Make 'x' the subject of formula
x = 10/ 5
x = 2
But we have that;
JK = 2x
JK = 2(2)
JK = 4
Thus, the value of JK is 4
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The complete question:
Given JL=x+10, KL=4x and JK=2x determine the numerical length of \overline{JK}.
Please answer and explain both in laymens terms
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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Which of the following is required by k-means clustering ? a. defined distance metric b. number of clusters c. initial guess of centroids d. all of the above
Answer:
d. all of the above
Step-by-step explanation:
K-means clustering is a term used to describe a technique of vector quantization, that attempts to partition "n" observations into "k" clusters whereby each observation refers to the cluster with the closest mean which represents a model of the cluster.
This implies that the K-means algorithm recognizes the "k" number of centroids, and then assigns every data point to the closest cluster while the centroids remain as small as possible.
Hence, the following is required of K-means clustering:
1. defined distance metric
2. number of clusters
3. initial guess of centroids
Therefore, in this case, the correct answer is option D: All of the above.
which of the following is a true statement?
Answer:
3/8 less than 1/2 is correct
Step-by-step explanation:
A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C
Answer:
x = 4
Step-by-step explanation:
if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.
DE is such a line , then
\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\) ( substitute values )
\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )
3x = 2(x + 2)
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
If a1 = 2 and an = − 4 an − 1 then find the value of a6 .
Answer:
the value. 6a of answer is 12
A jet ski costs $3,204. If you want to make 36 equal payments, how much is each payment?
Answer:
89
Step-by-step explanation:
3204 divided by 36 = 89
36 x 89 = 3204
A=1/2h (b1 + b2) for h
What number is ten more than 100? Write an equation.
Answer:
10+100=110
Step-by-step explanation:
easy as pie
Answer:
110?
Step-by-step explanation:
If its 10 more (more being addition) than 100 then it should be 110
what are the first 30 digits of pi? im trying to learn and i already know some, i just want to know more.
Answer:
3.14159265358979323846264338327
Step-by-step explanation:
simplify the expression. identify the properties used. 4(x-3) (3•x)•7
Step-by-step explanation:
4 x + 3 = 7 4x+3=7 4x+3=7. Subtract 3 from both sides. Simplify 7 − 3 7-3 7−3 to 4. Divide both sides by 4.
Jenny is shopping at Fashion Island in Newport Beach for a new winter jacket and finds one on sale for 25% off the original price. The jacket's original price is $249.99. What is the dollar amount Jenny will save with the 25% discount?
Answer:
She will save $62.50 and the new amount is 187.49 jut in case
Step-by-step explanation:
In 6 years, a father wants to accumulate $110000 to pay for his daughter's college expenses. If he can get 8% interest, compounded quarterly, how much must he invest now to achieve his goal?
The amount that hw must invest to achieve the goal when it will be compounded annualy is $68750
Given Information:
Principal Amount (P) = to be calculated
Rate of Interest (r) = 8 %
Time Period (t) = 6
Amount Received (A) = $110000
Number of times the interest is compounded quarterly (n) = 4
The Formula for the amount received when the principal (P) is compounded is given by,
\(A = P( 1 + \frac{r}{100n} )^{nt}\)
Now, putting the values, we get:
\(110000 =P( 1 + \frac{8}{100*4} )^{4*6}\)
P = $68750
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Determine the 3-day SMA for the ten consecutive day closing prices for Procter & Gamble Co listed below.
$66.21, $65.90, $67.05, $67.03, $66.80, $66.65, $66.65, $65.80, $65.92, $65.21
Therefore , the solution of the given problem of unitary method comes out to be 66.05, 66.33, 66.96, 66.83, 66.70, 66.03, 66.12, 65.64 for the closing values provided.
What is a unitary method?By utilizing what is explicitly learned thus far, taking variable of this global accessibility, and incorporating all crucial elements from previous expression research that utilized a particular approach, the goal can be achieved. It will be possible to get in touch with the entity again if the expected claim outcome actually happens; otherwise, both crucial processes will surely miss the statement.
Here,
We must take the average of the most recent three closing prices and repeat the procedure for the remaining prices in order to determine the 3-day SMA (Simple Moving Average).
Here's a step-by-step procedure:
=> Day 1: (66.21 + 65.90 + 67.05) / 3 = 66.05
=> Day 2: (65.90 + 67.05 + 67.03) / 3 = 66.33
=> Day 3: (67.05 + 67.03 + 66.80) / 3 = 66.96
=> Day 4: (67.03 + 66.80 + 66.65) / 3 = 66.83
=> Day 5: (66.80 + 66.65 + 66.65) / 3 = 66.70
=> Day 6: (66.65 + 66.65 + 65.80) / 3 = 66.03
=> Day 7: (66.65 + 65.80 + 65.92) / 3 = 66.12
=> Day 8: (65.80 + 65.92 + 65.21) / 3 = 65.64
The 3-day SMA is therefore 66.05, 66.33, 66.96, 66.83, 66.70, 66.03, 66.12, 65.64 for the closing values provided.
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Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the second is black, and the third is red. (Enter your probability as a fraction.)
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102
Question
Express the inequality x > -1 using interval notation
Step-by-step explanation:
x > -1
x = {0,1,2,...}
\( \lang -1,+\infty \rang\)
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
5. Now, that you have your answers for questions 1 & 2. Explain what the difference between finding the
mean of the given numbers and finding the value that is half-way between a given set of numbers.
It should be noted that finding the mean gives the average value of a set of numbers, while finding the halfway point gives a value that is equidistant between the two extreme values in the set.
How to explain the meanFinding the mean of a set of numbers involves adding up all the numbers in the set and then dividing the sum by the total number of numbers in the set. The mean represents the average value of the set.
Finding the value that is halfway between a set of numbers involves taking the two extreme values in the set and finding the arithmetic average (i.e., adding the two values and dividing by 2). This value represents the midpoint between the two extremes.
In summary, finding the mean gives the average value of a set of numbers, while finding the halfway point gives a value that is equidistant between the two extreme values in the set.
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10. A function, f(x) = 4x + 5, has a domain 0 ≤x≤50 What is its range?
The range of the function f (x) = 4x + 5 is 5 ≤ y ≤ 205.
The function is given as:
f (x) = 4x + 5
We are also given that the domain of the function is:
0 ≤ x ≤ 50
To find the range:
For x = 0, we get that:
f (0) = 4(0) + 5
f (0) = 0 + 5
f (0) = 5
For x = 50, we get that:
f (50) = 4(50) + 5
f (50) = 200 + 5
f (50) = 205
The range of the function will become:
5 ≤ y ≤ 205
Therefore, we get that, the range of the function f (x) = 4x + 5 is 5 ≤ y ≤ 205.
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The histogram shows data collected about the number of passengers using city bus transportation at a specific time of day. A histogram titled City Bus Transportation. The x-axis is labeled Number Of Passengers and has intervals of 1 to 10, 11 to 20, 21 to 30, 31 to 40, and 42 to 50. The y-axis is labeled Frequency and starts at 0 with tick marks every 1 units up to 9. There is a shaded bar for 1 to 10 that stops at 2, for 11 to 20 that stops at 4, for 21 to 30 that stops at 5, for 31 to 40 that stops at 6, and for 42 to 50 that stops at 3. Which of the following data sets best represents what is displayed in the histogram? (4, 5, 7, 8, 10, 12, 13, 15, 18, 21, 23, 28, 32, 34, 36, 40, 41, 41, 42, 42) (4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42) (4, 5, 7, 8, 12, 13, 15, 18, 19, 21, 24, 25, 26, 28, 29, 30, 32, 33, 35, 42) (4, 6, 11, 12, 16, 18, 21, 24, 25, 26, 28, 29, 30, 32, 35, 36, 38, 41, 41, 42)
The data set that best describes the histogram is
(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)
We have,
The histogram shows that there are different intervals on the x-axis, and for each interval, there is a corresponding frequency on the y-axis.
From the given data, we can see that there are more passengers in the 11 to 20 interval than in the 1 to 10 interval, and so on.
Looking at the answer choices, we need to choose the data set that matches the histogram.
The first step is to check if the data set has the same range as the histogram.
The histogram has intervals from 1 to 10, 11 to 20, 21 to 30, 31 to 40, and 42 to 50.
Now,
The first answer choice has numbers less than 1 and greater than 50, so it cannot be the correct choice.
The second answer choice has a range from 4 to 42, which matches the histogram.
We can check if the frequencies in the data set match the heights of the bars in the histogram.
For example, the histogram has a bar for the 11 to 20 interval that stops at 4, which means there are 4 passengers in that interval.
The second data set has 4 passengers in the 11 to 20 interval, so it matches.
We can do the same for the other intervals and find that the second data set matches the histogram.
Therefore,
The data set that best describes the histogram is
(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)
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All of the STEM discoverers discussed in this unit followed a common process for discovering a new mathematics theory or developing an invention for a computer application. Which of the following terms accurately describes the first step performed by any of these STEM discoverers? 1.create 2.conclude 3.observe 4.test
Any of these STEM innovators starts their process by observing.
What does STEM stand for?STEM, or science, technology, engineering, and math, is a field and curriculum that focuses on educating students in these four academic areas (STEM). Scientists at the U.S. The acronym STEM was originally adopted by the National Science Foundation in 2001. (NSF).
Is math a big part of STEM?Mathematics Is the Key to a STEM Major. The key to earning a STEM degree is mathematics. Without it, students will find these majors difficult and might even decide not to continue with them. Science, technology, engineering, and mathematics, or STEM.
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Answer: observe
Step-by-step explanation:
In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning.
If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?
Drag the numbers to show your answer. Numbers may be used once, more than once, or not at all.
Answer:
After the order, there are 60 roses and 36 tulips, which is equivalent to 5 : 3. The ratio does not change.
Step by step:
72 divided by 2 is 36.
36 divided by 3 is 12.
5 times 12 is 60.
So, the ratio is 60:36
In a florist shop, if the florist uses up half of each type of flower to fill an order, the ratio of roses to tulips will change and it will be 60 roses: 36 tulips.
Given that:
the ratio of roses to tulips is 5: 3On a Friday morning, the shop has (x) roses: 72 tulipsWe can form a system of equations; where
5: 3 ---- (1)x: 72 ---- (2)Let cross multiply the above equations to determine for the value of x:
i.e.
3x = (5 × 72)x = (5 × 72)/3x = 120So, on that Friday morning, when the shop has 72 tulips, they have 120 roses.
Now, if half of each type of flowers were used to fill an order, then the ratio of the roses to tulips will be:
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A store sells mugs each mug costs the same amount. During a sale, the store reduces the price of each by $1.25. Jackson spends $11.48 on 2 mugs at the sale price. What was the price of 1 mug before the sale?
Answer:
$14.73
Step-by-step explanation:
I hope this helps
Answer:
The price was $4.49
Step-by-step explanation:
11.48÷2 = 5.74
5.74-1.25=4.49
Tell me if I'm right :)