Answer:
K
Step-by-step explanation:
The factor that will change in the expression will be K.
n = number of walls
K = units of $/ft²
L = length of each wall in feet
h = height of each wall in feet
If the customer will request a more expensive brand of paint, the only factor that will change is K, because K holds the price of the paint over how many square feet.
By using more expensive brand of paint, the cost "K" would change.
Given:
painter's fee = nKLh
length= L
h= Height
n = number of walls.
The constant "K" represents the cost per square foot of the paint.
By using a more expensive brand of paint, the cost per square foot would increase.
Therefore, the value of "K" in the expression would change to reflect the new cost associated with the more expensive paint.
The other factors in the expression, "n" (number of walls), "L" (length of each wall), and "h" (height of each wall) remains same.
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Ivan has 15 yards of green felt 12 yards of blue felt to make 3 quilts, how many yards does he use for each quilt
Answer:
27
Step-by-step explanation:
45 POINTS PLEASE HELP ME!!!! You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a 4?
Answer:
6/11
Step-by-step explanation:
We are not told which number cube shows a 4; it can be the first one or the second one.
If the first number cube is a 4, this gives us the options of:
4 and 1; 4 and 2; 4 and 3; 4 and 4; 4 and 5; 4 and 6.
However if the second number cube is a 4, this gives us
1 and 4; 2 and 4; 3 and 4; 4 and 4; 5 and 4; 6 and 4.
We cannot count "4 and 4" twice; this leaves us with 11 total possibilities.
Out of these 11, only the sum of 4 and an odd number will be odd:
1 and 4; 3 and 4; 5 and 4; 4 and 1; 4 and 3; 4 and 5.
There are 6 ways to have an odd sum out of 11 total possibilities; this gives us a probability of 6/11.
The losing team in a baseball game scored 2 runs. Which inequality represents the number of runs, r , that the winning team could have scored? A. R?2 B. R>2 C. R<2 D. R=2
B. R>2 because to win the game they must have had more runs than the losing team
Final answer:
The inequality that represents the number of runs the winning baseball team could have scored is r > 2, since the winning team must score more than the losing team, which scored 2 runs.
Explanation:
The student is asking for the inequality that represents the number of runs, r, that the winning team could have scored in a baseball game, given that the losing team scored 2 runs. The condition to win a game is that the winning team must score more runs than the losing team. Therefore, if the losing team scored 2 runs, the inequality that represents the number of runs the winning team scored is r > 2. This is because the winning team must have scored more than 2 runs to win.
I NEED HELP WITH A QUICK QUESTION! 30 POINTS!
For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius and diameter of the circle?
(c) Graph the circle.
Answer:
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 =r^2
where (h,k) is the center and r is the radius
(x - 2)² + (y+3)² = 9
(x - 2)² + (y- -3)² = 3^2
The center is (2 ,-3)
The radius is 3
The diameter is twice the radius = 2(3) = 6
The center of the circle is at (2, -3), the radius is 3 units, and the diameter is 6 units. To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Explanation:(a) The coordinates of the center of the circle are (2, -3). The equation of the circle is in the form (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center and r is the radius. In this case, (h, k) = (2, -3).
(b) The radius of the circle is 3 units. The diameter is twice the radius, so the diameter of the circle is 6 units.
(c) To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.
Write an expression to represent: Four more than the product of three and a number x
Answer: 4+3x
Step-by-step explanation:
Solve a triangle with a=25, b=30, and C= 160°
(picture provided)
Answer:
Option d.
Step-by-step explanation:
For this problem we have 2 sides of a triangle (a and b) and the angle between them C = 160 °.
We have a triangle of type SAS.
We have:
a=25
b=30
C= 160°
Then we use the law of cosine.
[tex]c = \sqrt{a^2 +b^2 - 2abcos(C)[/tex]
Now we substitute the values in the formula to find c
[tex]c = \sqrt{25^2 +30^2 - 2(25)(30)cos(160\°)}\\\\c = 54.2[/tex]
Now we use the cosine theorem to find B. (You can also use the sine)
[tex]b = \sqrt{a^2 +c^2 - 2accos(B)}\\\\b^ 2 = a^2 +c^2 - 2accos(B)\\\\b^ 2 -a^2 -c^2 =- 2accos(B)\\\\\frac{a^2 +c^2 -b^2}{2ac} =cos(B)\\\\B = arcos(\frac{a^2 +c^2 -b^2}{2ac})\\\\B = arcos(\frac{25^2 +54.2^2 -30^2}{2(25)(54.2)})\\\\B = 10.9\°[/tex]
Finally:
[tex]A=180\° - B- C\\\\A = 180\° - 10.9\° - 160\°\\\\A = 9.1\°[/tex]
Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles? The two triangles cannot be congruent because the angle measures are not the same. The two triangles are congruent because the angle measures in the two triangles are the same. The two triangles may be congruent, but additional information is needed about the third angle in each triangle. The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Answer:
The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Step-by-step explanation:
Given that Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°.
We have by using properties of sum of angles of triangles, angles of PQR are 65, 70, 45 and also same for XYZ
Hence there is a chance that these triangles may be congruent depending on the sides. We are sure that the angles are congruent hence triangles are similar. But to prove congruence we must have additional information about sides.
The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Answer:The two triangles may be congruent, but additional information is needed about the sides of each triangle
Step-by-step explanation:
Here is a list of numbers: 3.8, 5.3, 8.8, 1.6, 4.7, 8.8, 2.6 ,9.6 ,5.6 ,4 State the median.
If P(A)=0.35, then the probability of the complement of A is
0.55
-0.35
0.35
0.65
Answer:
P(A') = 0.65
Step-by-step explanation:
We are given that the probability P(A) = 0.35 and we are to determine the probability of the complement of A.
According to the Complement Rule of any probability, the sum of the probabilities of an event and its complement must be equal to 1.
So for for the event A,
P(A) + P(A') = 1
0.35 + P(A') = 1
P(A') = 1 - 0.35
P(A') = 0.65
The probability of the complement of A is 0.65
How to determine the probability of the complement of AThe probability of A is given as:
P(A) = 0.35
To calculate the probability of the complement of A, we make use of the following complement formula
P'(A) = 1 - P(A)
So, we have:
P'(A) = 1 - 0.35
Evaluate
P'(A) = 0.65
Hence, the probability of the complement of A is 0.65
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If aₙ = 3(3)ⁿ⁻¹ , what is S₃?
12
27
9
39
Answer:
[tex]S_3=39[/tex]
Step-by-step explanation:
The nth term of the sequence is
[tex]a_n=3(3)^{n-1}[/tex]
To get the first term, substitute n=1,
[tex]a_1=3(3)^{1-1}=3[/tex]
To get the second term, substitute n=2,
[tex]a_2=3(3)^{2-1}=9[/tex]
To get the third term, substitute n=3,
[tex]a_3=3(3)^{3-1}=27[/tex]
The sum of the first three terms is
[tex]S_3=3+9+27=39[/tex]
We could also use the formula
[tex]S_n=\frac{a_1(r^n-1)}{r-1}[/tex] to get the same result.
Answer:
The correct answer is last option 39
Step-by-step explanation:
It is given that,
aₙ = 3(3)ⁿ⁻¹
To find a₁
a₁ = 3(3)¹⁻¹ = 3(3)°
= 3 * 1 = 3
To find a₂
a₂ = 3(3)²⁻¹ = 3(3)¹
= 3 * 3 = 9
To find a₃
a₃ = 3(3)³⁻¹ = 3(3)²
= 3 * 9 = 27
To find the value of S₃
S₃ = a₁ + a₂ + a₃
= 3 + 9 + 27 = 39
Therefore the correct answer is last option 39
The National Football League (NFL) polls fans to develop a rating for each football game. Each game is rated on a scale from 0 (forgettable) to 100 (memorable). The fan ratings for a random sample of 12 games follow. 57 61 87 74 72 73 19 56 81 79 83 75 a. Develop a point estimate of mean fan rating for the population of NFL games (to 2 decimals). b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).
The point estimates for the mean and standard deviation of the given data is respectively; 68 and 17.6
What is point Estimate?A) To find the point estimate of the mean, we add all up all the data and divide by the number of values.
Thus;
∑x = 57 + 61 + 86 + 87 + 72 + 73 + 19 + 56 + 81 + 79 + 83 + 75 = 816
n = 12 numbers
Thus;
mean = ∑x/n = 816/12
Mean = 68
B) To find the estimate of the standard deviation, we would get it from the formula;
s = √[(n*(∑x²) - (∑x)²)/n(n - 1)]
∑x² = 572 + 612 + 862 + ... + 742 = 59,010
s = √[ (12*(59,010) - (816)²)/(12)(11)]
s = 17.6
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A worker is paid $0.07 on the first day, $0.14 on the second day, $0.28 on the third day, and so on. How much is the worker paid in total after working for 26 days?
Between $0 and $1000
Between $1000 and $2 000 000
Between $2 000 000 and $4 000 000
Over $4 000 000
Answer:
D) Over $4,000,000
Step-by-step explanation:
On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.
That totals to approximately $4.6 million dollars, which is larger than $4 million.
To find the worker's total pay over 26 days, the pay is calculated as a geometric series with a first term of $0.07 and a common ratio of 2, using the geometric series sum formula.
Explanation:The worker's pay is doubling each day. This pattern represents a geometric sequence where the first term a is $0.07 and the common ratio r is 2. To find the total pay after 26 days, we need to calculate the sum of the first 26 terms of the sequence.
The formula for the sum S of a geometric series is S = a(1 - r^n) / (1 - r), where n is the number of terms. Plugging in our values, we get S = 0.07(1 - 2^26) / (1 - 2).
Performing the calculation yields a sum that we can evaluate to determine the worker's pay over the 26-day period. This result would fall into one of the ranges provided in the original question.
The question also the answer options are below in the attachment. Please and thanks in advance! :)
Answer:
35 7/8.
Step-by-step explanation:
The total length of the wood before any cutting was done = 4 * the mean
= 4* 36 5/8 = 4* 293/8
= 146 1/2 feet.
So the length of the fourth piece = 146 1/2 - (36 3/4 + 36 3/8 + 37 1/2)
= 146 1/2 - 110 5/8
= 36 + 1/2 - 5/8
= 35 7/8 answer.
Turn the mean into an improper fraction.
36 5/8 = 293/8
Multiply the mean by four.
293/8 * 4/1 = 1172/8 or 146 1/2
Add all the sides together.
36 3/4 + 36 + 3/8 + 37 1/2 = 110 5/8 or 885/8
Subtract.
1172/8 - 885/8 = 287/8 or 35 7/8
Best of Luck!
Please help me out. :)
Here is your answer
[tex]\bold{x=12}[/tex]
REASON:
[tex]<font color="blue" size=5>Concept used</font>[/tex]: The opposite sides of a parallelogram are equal.
So, in above given figure
[tex] 3x+7=5x-17 [/tex] (measures of opposite sides)
[tex] 5x-3x= 17+7 [/tex]
[tex] 2x= 24 [/tex]
[tex] x= 24/2 [/tex]
[tex] x= 12 [/tex]
HOPE IT IS USEFUL
Find the measure of the line segment indicated.
Assume that lines which appear tangent are tangent.
A) 10
B) 6
C) 14
D) 7
Answer:
Option A. 10
Step-by-step explanation:
we know that
Applying the Intersecting Secants Theorem
[tex]QS*RS=CS*TS[/tex]
substitute the values
[tex](11x-1+8)*(8)=(9+7)*(9)[/tex]
solve for x
[tex](11x+7)*(8)=(16)*(9)[/tex]
[tex]88x+56=144[/tex]
[tex]88x=144-56[/tex]
[tex]88x=88[/tex]
[tex]x=1[/tex]
Find the measure of QR
[tex]QR=11x-1=11(1)-1=10[/tex]
Find the polynomial M if 2x^2− 1/3 ax+by−M=0.
AND
Find the polynomial B if 3x^2y− 1/3 xy^3+cy+B=0.
Pls Help ASAP! Thanks
23/8 for the most part I think
Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10-point multiple choice test over the material. Their scores follow: Table Constant sound Random Sound No Sound 7 5 2 4 5 4 6 3 7 8 4 1 6 4 2 6 7 1 2 2 5 9 2 5 1. State the type of statistical test that you will use to conduct your hypothesis test.
Answer:
An ANOVA test
Step-by-step explanation:
You will use the ANOVA test, which is a test that compares the means of more than 2 samples. Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.
*This test only tells us if the means are equal, it won't say which is greater than the other. You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.
An ANOVA (Analysis of Variance) is the appropriate statistical test to use when comparing the test scores of students studying under different sound conditions (constant sound, random sound, and no sound).
The type of statistical test to use for conducting a hypothesis test in this scenario would likely be an ANOVA (Analysis of Variance), which is specifically designed to compare the means of three or more groups. Since we have three independent groups of students (constant sound, random sound, and no sound) and we want to test if there is a significant difference in the test scores that could be attributed to the study condition, ANOVA is the appropriate choice of test.
The information provided about the music and sound conditions suggests that the volume of any background music should be low enough to not disrupt conversation and that it may serve as an auditory memory cue if used consistently. Additionally, the studies mentioned indicate various effects of background music on task performance among students, be it learning a passage, recalling information, or completing reading comprehension tasks. These factors would be considered when interpreting the results of the ANOVA.
Please help fast !!!!!
Answer:
Correct choice is D). -4.
Step-by-step explanation:
Given the following relation is a function where the relation is :
{(6,3),(-4,1),(8,-5),(x,1)}
Now we need to decide about which of the following cannot be a value for x.
Where given choices are:
A). 3
B). 1
C). -5
D). -4
E). 4
We know that a relation is called function if doesn't contains repeated values in domain or doesn't have repeated x-values.
In given relation, {(6,3),(-4,1),(8,-5),(x,1)}, we see that x-values are 6, -4 and 8.
So to prevent repetition, x can't be any of 6, -4 and 8.
Hence correct choice is D). -4.
A circle with circumferemce 18 has a arc with a 120 degrees central angle. What is the length of the arc
360°=18
120°=x
x=120*18/360=6
Jon ran around a track that was 1\8 of a mile long.He ran around the track 24 times.How many miles did Jon run?
Answer:
3 miles
Step-by-step explanation:
Solve the system using substitution. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)
-5x + y = -1
y - 4x = -3
Answer:
The solution is (-2,-11)
Step-by-step explanation:
The given system is
[tex]-5x+y=-1[/tex]
and
[tex]y-4x=-3[/tex]
Make y the subject in the first equation to get;
[tex]y=5x-1[/tex]
Put [tex]y=5x-1[/tex] into the second equation.
[tex]5x-1-4x=-3[/tex]
Group similar terms;
[tex]5x-4x=-3+1[/tex]
[tex]x=-2[/tex]
Put [tex]x=-2[/tex] into [tex]y=5x-1[/tex].
This implies that;
[tex]y=5(-2)-1[/tex]
[tex]y=-10-1[/tex]
[tex]y=-11[/tex]
The solution is (-2,-11)
Answer:
(-2, -11)
Step-by-step explanation:
We are given the following two equations:
[tex]-5x + y = -1[/tex] --- (1)
[tex]y - 4x = -3[/tex] --- (2)
From equation (2):
[tex]y=4x-3[/tex]
Substituting this value of y in equation (1) to get:
[tex]-5x + y = -1[/tex]
[tex]-5x + (4x-3) = -1[/tex]
[tex]-5x+4x=-1+3[/tex]
[tex]x=-2[/tex]
Now substituting the value of x in equation (2) to get:
[tex]y - 4(-2) = -3[/tex]
[tex]y+8=-3[/tex]
[tex]y=-8-3[/tex]
[tex]y=-11[/tex]
Therefore, the solution of the equations as an ordered pair is (-2, -11).
Describe, in your own words, the identity sin^2(x) + cos^2(x) = 1.
Look at the attached figure. We define the unit circle as a circle with center [tex]A[/tex] in the origin (0,0) and radius 1.
Then, we consider a point P on the circumference. We call [tex]\alpha[/tex] the angle between the positive half of the x axis and the radius AP.
We define
[tex]\cos(\alpha) = \overline{AD},\quad \sin(\alpha) = \overline{AC}[/tex]
As you can see, ACD is a right triangle, and so we have
[tex]\overline{AD}^2+\overline{AC}^2=\overline{AP}^2[/tex]
But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that
[tex]\cos(\alpha)^2+\sin(\alpha)^2=1[/tex]
What are the advantages and disadvantages of technological versus old-school methods for determining position at sea.
Answer:
A mere 15 years back, navigators would have scoffed at the idea of Paperless Navigation on big ocean going ships. After all, since centuries, navigational paper charts had been the heart and soul of ship navigation. Imagining that a day would come where we’d no longer have them onboard was nothing short of blasphemy.
Step-by-step explanation:
The advantages of technology versus old-school methods for determining the position at sea include ease of navigation and safety.
What is the ECDIS?The ECDIS is the abbreviated form Electronic Chart Display and Information System. It is a modern technology used for navigation through waters.
The advantages and disadvantages of technology versus old-school methods for determining the position at sea are as follows:With ECDIS as the dominant source of sailing, the Navigating Officer can plan and summarise the transition much more speedily than on Paper Charts.
This is the background that will sound an alarm if the ship is inside the limit stated.
This scene displays the non-traversable field and marks the confine save that the container can harmlessly cross.
Therefore, we have found that the advantages of technology versus old-school methods for determining the position at sea include ease of navigation and safety.
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Y = 5x – 1 –15x – 3y = 3 How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Answer:
one solution: (0, –1)
Step-by-step explanation:
we have
[tex]y=5x-1[/tex] ----> equation A
[tex]-15x-3y=3[/tex] ----> equation B
isolate the variable y in the equation B
[tex]3y=-15x-3[/tex]
[tex]y=-5x-1[/tex] ----> equation C
Compare equation A and equation C
The equations are different
The slopes are different ( are not parallel lines)
therefore
The system has one solution
Solve the system
equate the equation A and equation C and solve for x
[tex]5x-1=-5x-1[/tex]
[tex]5x+5x=-1+1[/tex]
[tex]x=0[/tex]
Find the value of y
[tex]y=5(0)-1=-1[/tex]
The solution is the point (0,-1)
What is the frequency of the function f(x)? f(x)=3cos(5x)+2
Enter your answer, in simplest fraction form, in the box
The Answer is frequency
= (pi)/(2pi)
= 1/2 freq
Answer:
Step-by-step explanation:
The easiest way to do this is to get the period correct first.
If the function f(x) = cos(B * x) then the period is
P = 2*pi/B In this case B = 5
P = 2* pi/5
The frequency is the reciprocal of the period
f = 1/p
f = 1/(2pi/5) Now all you do is turn 2p/5 upside down.
f = 5/2*pi <<<< Answer
I don't know how simple your marker considers this, but it is the answer.
Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
in this case, s is 5 years older than luke's age
Answer:
3s represents:
3 times of Sydney's age
Step-by-step explanation:
We are given that:
Luke is 5 years younger than 3 times Sydney's age, s.
i.e. Sydney's age is denoted by s
Then,
3s represents 3 times of Sydney's age
Hence, 3s represents:
3 times of Sydney's age
What are the roots of the polynomial equation? Will mark brainliest.
Answer:
4 and -21
Step-by-step explanation:
When you factor it (x-4)(x+21)
You get 4 and -21
Check all of the solutions to this equation PLS ANSWER!!
Answer:
D & E
Step-by-step explanation:
1/ they're the only ones in the right format
2/ they're both highlighted on the graph
(im not completely confident in my answer, so don't drag me if im wrong.)
Answer:
it is a and b
Step-by-step explanation:
In the United States, it is possible for someone to give a gift up to how much money per year to another person without that money being taxed?
Answer:
I believe the correct answer is $10,000. I'm not positive, though.
Answer:
For years 2018 and 2019 the exclusion amount is $15000.
Step-by-step explanation:
In the United States, it is possible that you can give any individual a gift up to $15000 as per year 2018 and 2019, without having to file a gift tax return to report that gift.
Hence, for the years 2018 and 2019, the annual exclusion amount is $15,000.
Two lengths of a triangle measure 6 feet and 10 feet what can the length of the third side
Answer:it could possibly equal 2[tex]\sqrt{x}[/tex]34 or 8Step-by-step explanation: by the pythagorean thoerm 6[tex]x^{2}[/tex]+10[tex]x^{2}[/tex] = 2[tex]\sqrt{x}[tex]34 or 6[tex]\sqrt{x}[/tex] +b[tex]x^{2}[/tex]=10[tex]x^{2}[/tex]
Final answer:
The length of the third side of the triangle is approximately 11.66 feet.
Explanation:
To find the length of the third side of a triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the lengths of the two sides given are 6 feet and 10 feet. So, we can calculate the length of the third side as follows:
a² + b² = c²
6² + 10² = c²
36 + 100 = c²
136 = c²
c = √136
c ≈ 11.66 feet