With the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.
What are mathematical operations?A method of calculation: The most popular ones are (+, −, ×, ÷) for add, subtract, multiply, and divide.
However, there are many more, like square roots, logarithms, and squares.
It is most likely an operation if it isn't a number.
Example: The operation in 25 + 6 = 31 is added.
So, we know that:
The store charges $747.50 to install 115 ft² of tiles.
Then, the amount that will come to install 970 ft² tiles:?
Cost of installing 1 ft² of tiles:
747.50/115
$6.5
So, the cost of installing 1 ft² of tiles: is $6.5.
Now, the cost of installing 970 ft² tiles will be:
6.5 × 970
$6,305
Therefore, with the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.
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Write down the two inequalities that define the shaded region in the diagram
The two inequalities that define the shaded region in the diagram are:
y ≥ 4 and y < x
How to Write Inequalities that define the Shaded Region?For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥" because the shaded region is to the left and the boundary line is solid.
The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:
y ≥ 0(x) + 4
y ≥ 4
For the dashed line:
m = change in y / change in x = 1/1 = 1
b = 0
the inequality sign to use is: "<"
Substitute m = 1 and b = 0 into y < mx + b:
y < 1(x) + 0
y < x
Thus, the two inequalities are:
y ≥ 4 and y < x
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Find the slope of the line through each pair of points using the formula.
(17, -19) (4, -15)
Answer:
-4/13
Step-by-step explanation:
(17 , -19) ; (4 , -15)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}\)
Answer:
- 4 / 13
Step-by-step explanation:
Algebra work is easy :)
good luckkk
Which of the following does a rigid motion preserve?
A. Side lengths only
B. Angle measures only
C. Side lengths and angle measure
D. Neither side lengths nor angle measures
Answer:
c
Step-by-step explanation:
Please Help me
QUESTION 9
x
0246
8
10
12
24
14
*****
y
9
9
10
11
11
12
13
13
I
[1.5 darks] Given the (x, y)-data as shown in Table below
Find the best line model for the data
and find the correlation coefficient r.
Solution. Please write your
detailed solution here, You can
also put some needed information
in the Table above:
Answer:
To find the best line model for the data, we will use linear regression analysis.
First, we need to calculate the mean of x and y:
mean of x = (0 + 2 + 4 + 6 + 8 + 10 + 12 + 24 + 14) / 9 = 8
mean of y = (9 + 9 + 10 + 11 + 11 + 12 + 13 + 13 + 14) / 9 = 11
Next, we need to calculate the deviations of x and y from their respective means:
deviation of x = x - mean of x
deviation of y = y - mean of y
x y deviation of x deviation of y (deviation of x)^2 deviation of x * deviation of y
0 9 -8 -2 64 16
2 9 -6 -2 36 12
4 10 -4 -1 16 4
6 11 -2 0 4 0
8 11 0 0 0 0
10 12 2 1 4 2
12 13 4 2 16 8
24 13 16 2 256 32
14 14 6 3 36 18
Then, we can calculate the slope (b) of the best-fit line using the formula:
b = sum of (deviation of x * deviation of y) / sum of (deviation of x)^2
b = (16 + 12 + 4 + 0 + 0 + 2 + 8 + 32 + 18) / (64 + 36 + 16 + 4 + 0 + 4 + 16 + 256 + 36) = 0.190
Next, we can calculate the y-intercept (a) of the best-fit line using the formula:
a = mean of y - b * mean of x
a = 11 - 0.190 * 8 = 7.48
Therefore, the equation of the best-fit line is:
y = 0.190x + 7.48
Finally, we can calculate the correlation coefficient (r) using the formula:
r = sum of (deviation of x * deviation of y) / (sqrt(sum of (deviation of x)^2) * sqrt(sum of (deviation of y)^2))
r = (16 + 12 + 4 + 0 + 0 + 2 + 8 + 32 + 18) / (sqrt(64 + 36 + 16 + 4 + 0 + 4 + 16 + 256 + 36) * sqrt(16 + 16 + 1 + 0 + 0 + 1 + 4 + 4 + 1)) = 0.905
Therefore, the best-fit line for the given data is y = 0.190x + 7.48, and the correlation coefficient is r = 0.905.
Step-by-step explanation:
I need some assistance please.
Answer:
\( 48 - 20x = 9 \)
Step-by-step explanation:
\( 2 - \dfrac{5}{6}x = \dfrac{3}{8} \)
Multiply both sides by the LCD which is 24.
\( 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) \)
\( 48 - 20x = 9 \)
Andres has 18 sour cherry fruit strips. He and 4 of his friends are going to share them all equally. How many fruit strips will each person get?
~PLEASE ANSWER QUICK~
Answer: 3 3/5
Explanation:
18÷4=3.6
3.6= 18/4
18/4 as a mixed number is 3 3/5
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=2(x 2
+3)(x+1) 2
−3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , crosses the x-axis None −1, multiplicity 2 , touches the x-axis and turns around -3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , touches the x-axis and turns around. −1, multiplicity 2 , crosses the x-axis
The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.
To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)
Setting \(\(f(x) = 0\),\) we have:
\(\[2(x^2+3)(x+1)^2 = 0\]\)
Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:
1. \(\(x^2 + 3 = 0\):\)
This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.
2. \(\(x + 1 = 0\):\)
Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.
Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.
Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.
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A cuboid is 12 cm broad and 10 cm high. If its volume is 1800 cm³, find its length.
Answer:
it's length is 15cm
Step-by-step explanation:
let a represent the length
a × 10 ×12 = 1800
a×120= 1800
a = 1800÷12
a=15cm
1800=L×h×b
1800=L×10×12
1800=120L
L=1800/120
L=15cm ans..
At the bottom of a mountain, a ski lift starts four feet above the ground. At the top of the mountain, the lift is 1356 feet higher. If the lift ascends 1 foot for every 4 feet it travels west, how far west of the starting position is the lift at the top of the mountain?
PLEASE HELP ASAP ill be very thankful
Answer:
5,424 ft.
Step-by-step explanation:
For every 1 foot the ski lift goes up by, it travels west 4 feet. So, because we know that the lift will be 1,356 feet higher at the top of the mountain, all we have to do is multiple 1,356 by 4.
1,356 * 4 = 5,424 ft.
I hope this helps. :)
The number of loaves of bread that can be baked is proportional to the amount of flour used. Determine the number of loaves that can be baked with 15 cups of flour
Answer:
3 loaves
Step-by-step explanation:
See attachment for complete question.
Represent Loaves with L and Flour with F
Since L is proportional to F, the relationship can be defined as:
L = kF
Where k represent the constant of proportionality
When L = 4, F = 20
Substitute these values in the above formula.
4 = k * 20
Divide both sides by 20
4/20 = k
⅕ = k
k = ⅕
To solve for 15 cups of Flour, we have:
F = 15
Substitute 15 for F and ⅕ for k in L = kF
L = ⅕ * 15
L = 3
Hence, 3 loaves will be baked using 15 cups of flour
Please help, GodBless.
Answer:
m = - 6 :)
Step-by-step explanation:
which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
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hi my name is Athaar and I need help with this question.
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
Answer:
10
BEEP
BPEE
BEPE
EEPB
EEBP
EBEP
EPEB
PBEE
PEEB
PEBE
Answer:
12
Step-by-step explanation:
4! is 4*3*2*1
since there were 4 letters 4 could be chosen at the first letter
since one of the letters were chosen only 3 could be chosen as the second letter
and then it is 2 because there are 2 letters left
and 1 because there is only 1 letter left
so 4!
Then you divide by 2 because the 2 es are indistinguishable
1. Analyze the following pattern: 1, 2, 5, 10, 17,
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 (teal)
Step-by-step explanation:
this definition would be surface area not volume. volume is what could fit inside.
in herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to what?
In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.
THE MATCHING LAW
Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.
After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.
Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.
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find a square root of 340 modulo 437
One possible square root of 340 modulo 437 is 281.
To find a square root of a number modulo another number, we can use the Tonelli-Shanks algorithm. First, we check that 340 is a quadratic residue modulo 437 by calculating 340^((437-1)/2) mod 437, which gives 1. Then we can choose a starting value for the square root, such as 281, and use the Tonelli-Shanks algorithm to iteratively improve our estimate. After a few iterations, we should arrive at a more precise square root. Note that there may be multiple square roots, and this is just one example.
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Please help ASAP!!!!! I'll give brainliest if the answer is correct!!
Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30.
Part B
During a clearance sale, Alexandra discounts the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sells? Show your work or explain your answer.
Please and thank you!! And please if you can explain how you got the answer.
Answer:
Step-by-step explanation:
55% = 0.55
30 dollars is the normal price so ,
30*0.55=16.5 is the amount marked off
30-16.5=14.50 is the price of the shirts
12.00 was the cost of the shirts
14.5-12=2.50 profit per shirt
an elastic belt is placed around therein of a pulley of radius 5 cm one point of the belt is pulled directly away from the centre o of the pulley until its at p , 10 cm from o find the length of the best that is with the contact of rim of the pulley olso find the shaded region
The length of the best that is with the contact of rim of the pulley is (5/18)π cm.
The shaded region is 10√5 - (5/18)π cm.
How to calculate length of belt in a pulley?To find the length of the belt that is in contact with the rim of the pulley, we need to find the length of the arc of the circle with radius 5 cm that is between the points O and P.
The circumference of a circle with radius 5 cm is 2πr = 10π cm. So the fraction of the circle between O and P is 10/360 = 1/36 of the total circumference. Therefore, the length of the arc OP is (1/36) x 10π = (5/18)π cm.
To find the shaded region, we need to subtract the length of the belt in contact with the pulley from the length of the belt pulled to point P.
The belt pulled to point P is the hypotenuse of a right triangle with legs 5 cm (the radius of the pulley) and 10 cm (the distance from the center of the pulley to point P). Using the Pythagorean theorem, we can find the length of the belt pulled to point P:
h² = 5² + 10²
h² = 125
h = √125 = 5√5 cm
So the length of the belt pulled to point P is 2(5√5) = 10√5 cm.
Therefore, the length of the shaded region is 10√5 - (5/18)π cm. This is the length of the part of the belt that is not in contact with the pulley.
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Questions 21 - 25 relate to the following information. Suppose a firm's total cost curve is \( c=100+2 q \), where \( c \) is total cost and \( q \) is quantity of units. What is the yaxis intercept?
The y-axis intercept of the total cost curve is 100.
The y-axis intercept represents the value of the dependent variable when the independent variable is zero. In this case, the y-axis intercept represents the total cost when the quantity of units is zero.
Given the total cost curve c = 100 + 2q, we can find the y-axis intercept by setting q to zero:
c = 100 + 2(0)
c = 100
Therefore, the y-axis intercept of the total cost curve is 100.
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If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
i need help please and thanks
8/12
600
x
9
y
2
-2
3
What is the slope shown on the table?
-3
-6
-9
-10
3
m =
m = -4
2
3
3
m =
m =
3
Esca
Answer:
m = 2/3
Step-by-step explanation:
Take two points from the table. I'll pick (-3,-6) and (9,2), but any two will work (same result): Slope is Rise/Run:
Rise + (2 - (-6)) = 8
Run = (9 - (-3)) = 12
Rise/Run (Slope) = 8/12 or 2/3
m = 2/3
Solve for m
Enter only the numerical value in the box. Do not enter units.
Answer:
∠ C ≈ 73.7°
Step-by-step explanation:
using the sine ratio in the right triangle
sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then
∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )
Kim has a a coin and a dice with 6 sides. She flips the coin once and rolls the dice once. What is the probability that the coin lands tails-up and the dice lands on a 4?
Answer:
10
Step-by-step explanation:
6+4=10
Answer:
1/3
Step-by-step explanation:
because if you multiply 1/2 and 4/6 you get 4/12 and 4/12 reduced is 1/3
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
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Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
The first four-term of the sequence is found by the given equation \(a_{n-1} = 4a_n\) is given as 144, 36, 9, and 9/4.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given equation will be
\(\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n\)
And
\(a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}\)
For n = 4, we have
\(\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9\)
For n = 3, we have
\(\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36\)
For n = 2, we have
\(\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144\)
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Answer:
144
36
9
Step-by-step explanat
2p+3(p-I) for p=2 please tell me the answer urgent
Answer: I dont know if that is an "I" or a "1" but if it is an "I" the answer is "16-3i" but if is a "1" its 7
Step-by-step explanation: