Answer: R-squared (R2) is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model. ... So, if the R2 of a model is 0.50, then approximately half of the observed variation can be explained by the model's inputs.
Answer:
Those are called subscripts, the little numbers on the bottom right.
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter diverges.) 1/3+ 2/9+1/27+2 81+1/243+2/729+...
The series is convergent with sum 5/8
A series is said to be convergent, if it converges to a value as the terms of series tends to infinity.
A series is said to divergent, it it does not converge to a value but keeps on either increasing or decreasing as the terms of series tends to infinity.
In the question ,
\(\frac{1}{3} +\frac{2}{9} + \frac{1}{27} +\frac{2}{81}+..\) is given series
dividing the series into two parts ,
\((\frac{1}{3} +\frac{1}{27} +\frac{1}{243}+..)\) + \((\frac{2}{9} + \frac{2}{81} + \frac{2}{729}+...)\)
Using infinite geometric series formula both the side ,
=> \(\frac{\frac{1}{3}}{1- \frac{1}{9}} + \frac{\frac{1}{2}}{1- \frac{1}{9}}\)
=> \(\frac{1/3}{8/9}+ \frac{1/2}{8/9}\)
=> \(\frac{3}{8} + \frac{1}{4}\)
=> \(\frac{5}{8}\)
Hence , the series is convergent.
To know more about Convergent and divergent here
https://brainly.com/question/15415793
#SPJ4
Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?
A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.
B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.
C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.
D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.
Answer:
D
Step-by-step explanation:
Students make 97.5 ounces of liquid soap for a craft fair. They put the soap in 6.5-ounce bottles and sell each bottle for $5.50$. How much do the students earn if they sell all the bottles of liquid soap? Explain.
The students will earn $82.5 if they sell all the bottles of liquid soap.
What is a unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Given that,
Total amount of liquid soap prepared by the students for a craft fair =
97.5 ounces
Weight of each bottle in which students poured the soap = 6.5 ounces
Let us first calculate the number of bottles, each contains 6.5 ounces of soap from 97.5 ounces of soap.
So, Number of bottles = \(\frac{97.5}{6.5}\) = 15
It means, 15 bottles are prepared which contains 6.5 ounces of soap from 97.5 ounces of soap.
The amount at which each bottle is sold = $5.50
The total amount earned by selling all the bottles of liquid soap = 15×$5.50 = $82.5
Hence, The students will earn $82.5 if they sell all the bottles of liquid soap.
To learn more about unitary method from the given link:
https://brainly.com/question/11210531
#SPJ9
a parabola opening up or down has vertex (-3,2) and passes through (-7, 2/3) . write its equation in vertex form.
The equation of the parabola in vertex form is y = (-1/12)(x + 3)^2 + 2, which opens downwards since the leading coefficient is negative.
The equation of the given parabola in vertex form is y = a(x + 3)^2 + 2, where a is a constant that depends on whether the parabola opens up or down.
To determine the value of a, we can use the fact that the parabola passes through (-7, 2/3). Substituting these values into the equation, we get:
2/3 = a(-7 + 3)^2 + 2
2/3 = 16a + 2
16a = -4/3
a = -1/12
Therefore, the equation of the parabola in vertex form is
y = (-1/12)(x + 3)^2 + 2.
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, we are given that the vertex is (-3, 2), so we can write the equation as y = a(x + 3)^2 + 2.
To find the value of a, we use the fact that the parabola passes through (-7, 2/3). Substituting these values into the equation, we get 2/3 = a(-7 + 3)^2 + 2. Simplifying this equation, we get 2/3 = 16a + 2, which we can solve for a to get a = -1/12.
Therefore, the final equation of the parabola in vertex form is y = (-1/12)(x + 3)^2 + 2, which opens downwards since the leading coefficient is negative.
Learn more about parabola:
brainly.com/question/31142122
#SPJ11
Why Did The Stage Manager Put Paste On The Programs?
Because he wanted the audience glued to their seats, the stage manager pasted paste on the programmes.
Even before the first rehearsal, the stage manager is involved in the performance. During
He or she is in charge of preparing all the materials during what is known as "PREP WEEK."
for the opening of the rehearsals. The first step is for actors to completely TRUST the stage management.
Being structured from the first minute of the first rehearsal is essential to gaining that trust.
The stage manager is accountable for attending each rehearsal during the rehearsal time to
aid the director, create CUE SHEETS, let the actors know what the director wants, and all the
Develop strong working connections with DEPARTMENT HEADS, who are perhaps the most crucial, everyone involved in the show.
The director frequently moves on to another production after the first performance.
For more such question on Stage Manager.
https://brainly.com/question/25385820
#SPJ4
Write in point-slope form an equation of the line that passes through the point (4,4) with a slope of 3.
Answer:
\(y-4=3(x-4)\)
Step-by-step explanation:
Point-slope form is represented by the formula \(y-y_1 = m (x-x_1)\). Substitute the \(m\), \(x_1\), and \(y_1\) in the formula for real values in order to write the equation of a line in point-slope formula.
\(m\) represents the slope, thus substitute 3 for it. \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects. So, use the x and y values of the point (4,4) for the formula. Substitute 4 for \(x_1\) and 4 for \(y_1\). This gives the following answer and equation in point-slope form:
\(y-4=3(x-4)\)
What is the equation of this line?
y=−1/4x
y=1/4x
y=−4x
y = 4x
Answer:
y=4x
Step-by-step explanation:
Answer:
y=5x
Step-by-step explanation:
A retail store sold a case of candles for $17.85 that had been marked up 110%. What was the original price of the table
The original price of the case of candles before markup was $8.50.
Markup price is the price that comes after setting up additional layer of pricing on the original price of a good. In this case also markup price is there. To find the original price of the case of candles before markup, we can use the following formula:
Original price = Marked up price / (1 + markup percentage)
In this case, the original price would be:
$17.85 / (1 + 110%) = $17.85 / 2.10 = $8.50
So the original price of the case of candles before markup was $8.50.
Thus, Original price is $8.5
To learn more about Markup price,
Visit; brainly.com/question/29247663
#SPJ4
/////////////////////////////////////////
24 = [(6+2) - (4 + 2)]
1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9 =1
Hello,
Answer:
We can start by rationalizing the denominators of each fraction.
For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:
1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)
= (√4 - √5)/(4 - 5)
= (√4 - √5)/(-1)
For the second fraction, we multiply the numerator and denominator by √5 - √6:
1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)
= (√5 - √6)/(5 - 6)
= (√5 - √6)/(-1)
We can do the same for the remaining fractions:
1/√6+√7 = (√6 - √7)/(-1)
1/√7+√8 = (√7 - √8)/(-1)
1/√8+√9 = (√8 - √9)/(-1)
Now we can simplify the expression:
1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9
= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)
= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)
= (√4 - √9)/(-1)
= √9 - √4
= 3 - 2
= 1
Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.
Good luck
Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
This is about the domain and range. PLEASE HELP ME!
Answer:
\(\boxed{\mathrm{B}}\)
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
\(F(0)=5-(0)^2\)
\(F(0)=5\)
The maximum value of y is 5.
Let x = 50
\(F(50)=5-(50)^2\)
\(F(50)=5-2500\)
\(F(50)=-2495\)
The minimun value of y is \(- \infty\) from observation.
The values of x can be a negative number.
\(F(-5)=5-(-5)^2\)
\(F(-5)=5-25\)
\(F(-5)=-20\)
The range of the function is less than or equal to 5 and greater than or equal to \(- \infty\).
which one is smallest 0.28,1/4,15%,0.65,32%,1/3
Answer:
15%
Step-by-step explanation:
Scenario: To create the flower gardens, Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long, piece E is 3 feet long, and piece F is 2 feet long.Part 1 of 2 Question: Describe how Wendell can use all six pieces of wood to create either two rectangular gardens or two triangular gardens. Assume the gardens do not share a common side.Part 2 of 2 Question: Wendell’s dog, Jordan, was getting in his way as he worked in the backyard. So, Wendell chained him to a pole. If the chain is 12 feet long, about how much area does Jordan have to walk around?
Given that Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long, piece E is 3 feet long, and piece F is 2 feet long.
1)
We know that rectangles have four sides, to create two rectangles we need two times 4 pieces of wood.
We need 8 pieces of wood to create two rectangles without sharing a common side.
Wendell only has six pieces of wood, so it is not possible to create two rectangles.
We know that triangles have three sides, to create two triangles we need two times 3 pieces of wood.
We need 6 pieces of wood to create two triangles without sharing a common side.
The sum of the two smaller sides of the triangle should be greater than or equal to the third side.
So the triangle with lengths 2,3 and 8 does not make a triangle.
The lengths of the first triangle should be 2,6 and 8.
The lengths of the second triangle should be 3,6 and 8.
Pieces A, C, and F can be used in the first triangle.
Pieces B, D, and E can be used in the second triangle.
The area of the first triangle is
\(A_1=\sqrt[]{s(s-a)(s-b)(s-c)}\)where s is the semi perimeter of the triangle.
\(s_1=\frac{a+b+c}{2}\)Substitute a=6, b=8 and c=2, we get
\(s_1=\frac{6+8+2}{2}=\frac{18}{2}=9\text{ f}eet\)Substitute s=9, a=6, b=8, and c=2 in the area of the triangle, we get
\(A_1=\sqrt[]{9(9-6)(9-8)(9-2)}\)\(A_1=\sqrt[]{9\times3\times1\times7}=\sqrt[]{189}=13.75\text{ fe}et^2\)The area of the first triangle is 13.75 square feet.
The area of the first triangle is
\(A_2=\sqrt[]{s(s-a)(s-b)(s-c)}\)where s is the semi perimeter of the triangle.
\(s_2=\frac{a+b+c}{2}\)Substitute a=6, b=8 and c=3, we get
\(s_1=\frac{6+8+3}{2}=\frac{19}{2}=9.5\text{ f}eet\)Substitute s=9, a=6, b=8, and c=2 in the area of the triangle, we get
\(A_2=\sqrt[]{9.5(9.5-6)(9.5-8)(9,5-2)}\)\(A_2=\sqrt[]{9.5\times3.5\times1.5\times7.5}=\sqrt[]{374.0625}=19.34\text{ fe}et^2\)The area of the second triangle is 19.34 square feet.
2)
The length of the chain is 12 feet.
The dog can make a circle with a radius of 12 feet when the dog walks a maximum length from the pole.
The area does Jordan have to walk around = The area of the circle
The area of the circle is
\(A=\pi r^2\)Substitute r=12, we get
\(A=3.14\times12^2\)\(A=452.16\text{ f}eet^2\)Hence the area of the dog walk around is 452.16 square feet.
Selma spent 9/10 of her allowance on a new backpack. What percent of her allowance did she spend? Selma spent % of her allowance on a new backpack.
Answer :
90 %
Explanation : 9/10 = 0.9 = 90 %
◊ YusuCr ◊
A data set includes the following numbers: 5 over 4, one and three fourths, 72%, and 3. 48.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points)
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)
Answer:
A. 72% (.72), 5 over 4 (5/4 = 1.25), one and three-fourths (1 3/4 = 1.75), 3.48
B. I rewrote the numbers in their original forms because three of them can be easily converted to decimals, just like the 3.48.
The question was about arranging numbers in increasing order. The numbers were expressed in different forms, so they had to be converted to a common form for easy comparison, which in this case was decimal form. Therefore, the least to greatest order is 72%, 5 over 4, one and three fourths, and 3.48.
Explanation:To answer the first part of your question, the data set includes the following numbers: 5 over 4, one and three fourths, 72%, and 3.48. First, we convert all the numbers into the same format to compare them easily. Where '5 over 4' equals 1.25, 'one and three fourths' equals 1.75, '72%' in decimal is 0.72, and '3.48' remains the same.
Now, it's easy to see the order of the numbers from least to greatest in their original form is 72%, 5 over 4, one and three fourths, and 3.48.
To answer the second part of your question: Yes, I did rewrite the numbers in equivalent forms. This was done to make the numbers easier to compare, as it's difficult to directly compare numbers expressed in different forms.
Learn more about number ordering here:https://brainly.com/question/33722486
#SPJ11
please answer this is due soon
shes jogging so slow what
Step-by-step explanation:
ok well 1.5 miles is how much she wants to walk
and x is how long it will take
and if she is walking 3.75
1.5x times (3.75)
that is x = 5.625
4/6=x/10 solve the proportion
Answer:
x=6 2/3
Step-by-step explanation:
answer: 4/6 = 8/10
have a great day
Question 3
Find the slope of each line in the graph. (HINT: Label your x1,y1,x2,y2
on the line). You must show the slope formula with numbers.
*
4-20
Slope of line a
b
20 pts
Slope of line b
The slope of line a is equal to -1.
The slope of line b is equal to 1/5.
How to calculate the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;
Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope) = rise/run
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points (-2, 3) and (3, -2) into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (-2 - 3)/(3 + 2)
Rate of change (slope) = -5/5
Rate of change (slope) of a = -1.
By substituting the given data points (-2, 1) and (3, 2) into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (2 - 1)/(3 + 2)
Rate of change (slope) = 1/5
Rate of change (slope) of b = 1/5.
Read more on slope here: brainly.com/question/3493733
#SPJ1
Which symptom is the main indication that a person is having a heart attack?
shortness of breath
sudden pressure or pain in the chest
sore arms
vomiting
Answer:
Sudden pressure or pain in the chest
Step-by-step explanation:
The main symptom of the indication that a person is having a heart attack is that the person feels discomfort or heaviness in the center of the chest. Some other symptoms can be unusual fatigue, shortness of breath, nausea, cold sweats, or indigestion.
Hence, the correct option is (b) "sudden pressure or pain in the chest".
Answer:
b. sudden preassure or pain on chest
Step-by-step explanation:
a street vendor sells two types of newspapers one for 25 cents and the other for 40 cents. fi she sold 100 newspaper for 28.00 how many newspapers did she sell at 25 cents
She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.
A linear equation is what?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The information provided in the issue is;
One newspaper will set you back $.25.
Other newspapers are $.40 each.
The 100 newspapers were purchased for $28.00.
x is the quantity of newspapers sold for $.25 each.
Y stands for the other newspaper's number.
The total of both newspapers is one hundred.
x+y=100
y=100-x
25x+ 40y=28.00
25x+40(100-x)=2800
25x+4000-40x=2800
-15x+4000=2800
-15x=-1200
x=80
She therefore sold 80 newspapers for $.25 each.
To know more about linear equation check this out:
https://brainly.com/question/11897796
#SPJ4
In the lake, a sailboat casts a shadow of 4 yards. A buoy that is 2 feet tall casts a shadow of 1 foot.What is the height of the sailboat
The required height of the sailboat is 24 feet.
Given that,
A sailboat casts a shadow of 4 yards.
Height of buoy = 2 feet
To find the height of the sailboat,
we can set up a proportion,
⇒ (sailboat height) / 4 yards = 2 feet / 1 foot
Now convert 4 yards to feet, since the height of the buoy was given in feet,
⇒ 4 yards = 12 feet
Now put the values and solve for the sailboat height,
⇒ (sailboat height) / 12 feet = 2 feet / 1 foot
⇒ sailboat height = 24 feet
Therefore, the height of the sailboat is 24 feet.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ4
find the value of each variable
Answer:
x=67 y=113 x=52
Step-by-step explanation:
85+28= 113
180-113=67
67= x
67+28=95
95+85=180
y= 28+ 85 =113
113+15= 128
180-128=52
52=x
a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
To learn more about charged here:
https://brainly.com/question/3412043
#SPJ4
What is the answer to this question?
Multiply the sum of a number and three by two and equate the result to half of the difference between the number and three.
Let's denote the unknown number as "x." According to the question, we need to multiply the sum of the number and three by two, and the value of the unknown number is -5.
1. Mathematically, this can be represented as: 2 * (x + 3) = (x - 3) / 2. To find the value of x, we can solve this equation. Multiplying both sides of the equation by 2 eliminates the fraction: 4 * (x + 3) = x - 3, Expanding the brackets: 4x + 12 = x - 3
2. Next, we can bring all the x terms to one side of the equation and the constant terms to the other side: 4x - x = -3 - 12
3. Combining like terms: 3x = -15, Finally, we isolate x by dividing both sides of the equation by 3: x = -15 / 3. Simplifying further, we get: x = -5.
Learn more about unknown number here: brainly.com/question/29301345
#SPJ11
Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for c in terms of t representing the total cost of the gym membership over t months.
Answer:
C=25t+100
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
100 POINTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Answer:
Equations for each salesman:
A. p(s) = 65sB. p(s) = 40s + 300C. p(s) = 900When s = 0, s= 1, s = 10 each of the gets paid:
A. p(0) = 0, p(1) = 65, p(10) = 650B. p(0) = 300, p(1) = 340, p(10) = 700C. p(0) = p(1) = p(10) = 900The above numbers as ordered pairs:
A B C s = 0 | (0, 0) | (0, 300) | (0, 900)s = 1 | (1, 65) | (1, 340) | (1, 900)s = 10 | (10, 650) | (10, 700) | (10, 900)what goes in the empty boxes?! HELP