Someone pleaser help me !
Write an expression for the following situation and solve it. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students.
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?
A. 2 + x + 3y
B. (2 + x) + 3y
C. 2x + (3 + y)
D. x + (2 + 3y)
Which answer represents the series in sigma notation?
[tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.
What is sigma notation?The symbol Σ (sigma) is generally used to denote a sum of multiple terms. This symbol is generally accompanied by an index that varies to encompass all terms that must be considered in the sum.
Given is a series (-7 + (-2) + 3 + 8 + 13), we need to define it in sigma notation,
Therefore,
For j = 1 up to j = 5
j = 1
(5j - 12) = (5(1) - 12) = 5 - 12 = - 7
j = 2
(5j - 12) = (5(2) - 12) = 10 - 12 = - 2
j = 3
(5j - 12) = (5(3) - 12) = 15 - 12 = 3
j = 4
(5j - 12) = (5(4) - 12) = 20 - 12 = 8
j = 5
(5j - 12) = (5(5) - 12) = 25 - 12 = 13
This gives us the given series,
(-7 + (-2) + 3 + 8 + 13)
Hence, [tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.
Learn more about sigma notation, click;
https://brainly.com/question/23653677
#SPJ3
Can someone help me?
Write and solve an equation to find the value of each variable
can someone answer this?
how would I solve for x?
Consider the polynomial: x/4– 2x^5 + x^3/2 + 1 Which polynomial represents the standard form of the original polynomial?
a.x^3/2 – 2x^5 + x/4 + 1
b.–2x^5 + x^3/2 + x/4 + 1
c. –2x^5 + x/4 + x^3/2 + 1
d. 1 – 2x^5 + x^3/2 + x/4
Answer:
b. –2x^5 + x^3/2 + x/4 + 1
Step-by-step explanation:
In the given expression, the degrees of the terms, in the order given, are ...
1, 5, 3, 0
When the terms are properly arranged in standard form, they will be ...
5, 3, 1, 0 . . . . descending order
The standard form of this expression is ...
-2x^5 +x^3/2 +x/4 +1 . . . . . . matches choice B
Answer: b.–2x^5 + x^3/2 + x/4 + 1
Step-by-step explanation:
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
HS 16 0 9.5 14.5 5 13 . 10.7 5.3
Which of the choices below best describes how to measure the spread of this data? (Hint: Use the minimum and maximum values to check for outliers.) (2 points) A:Both spreads are best described with the IQR.
B:Both spreads are best described with the standard deviation.
C:The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
D:The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answer:
Option A is correct
Step-by-step explanation:
Given is a table which shows data from a survey about the amount of time students spend doing homework each week.
College HS
High 50 16
Low 5 0
Q1 7.5 9.5
Q3 15 14.5
IQR 7.5 5
Median 11 13
Mean 13.8 10.7
Std dev 6.4 5.3
1.5IQR 11.25 7.5
Q1-1.5IQR -9.38 -12
Q3+1.5IQR 37.5 29.5
WE find that there is only one outlier in college with 50 as high.
Except that all others are well within IQR range. Hence outliers are minimum
So option A is right.
Final answer:
To determine the spread of data on student homework hours, IQR and standard deviation are used. The college data's spread is best described by IQR, while the high school data's spread is best described by standard deviation, making Option C the most suitable choice.
Explanation:
To measure the spread of the data for the amount of time students spend doing homework each week, we have two primary measures: the Interquartile Range (IQR) and the standard deviation (σ). IQR represents the difference between the third quartile (Q3) and the first quartile (Q1) and describes the spread of the middle 50% of the data. The standard deviation indicates how much the values in the dataset deviate from the mean, which can help in understanding the overall spread including potential outliers.
When dealing with outliers, it's important to consider that potential outliers are typically identified as values that are more than 1.5 × IQR above Q3 or below Q1. We would use the minimum (Low) and maximum (High) values provided alongside the IQR to check for outliers. For the college data, with a High of 50 and a Low of 5, the range is 45. For high school, the range is 16. Outliers could potentially affect the standard deviation significantly, making IQR a better measure for the middle spread of data.
Based on this, the college data with a wider range may be more affected by outliers, whereas the high school data with a smaller range may not. Therefore, the spread for the college data can be better described by the IQR, while the standard deviation can be a good measure for the high school data. This suggests that Option C: "The college spread is best described by the IQR. The high school spread is best described by the standard deviation." is the most suitable choice.
Factor the quadratic equations W^2-W-12
1. Billy had 40 songs on his MP3 player. If he deleted 8 songs, what is the ratio of songs he kept to songs he deleted?
1 point
8:40
32:40
40:32
40:8
2. A vendor sold 63 hotdogs during a football game. If the ratio of hotdogs to hamburgers sold was 9:5, how many hamburgers did the vendor sell? *
1 point
Your answer
3. Paul had sold 24 orange fish. If the ratio of blue fish to orange fish is 3:8, how many fish did he sell in total?
1 point
Your answer
4. Jack has a collection of toy cars. If there are 2 blues, 5 black, 7 red and 3 purple cars, what is the ratio of purple to all the cars?
1 point
3:14
3:17
5. At an ice cream shop the ratio of sugar cones to waffle cones sold is 2:1. If there are 15 cones altogether, how many sugar cones are there?
1 point
3
5
15
10
6. There is a total of 72 total students. If the ratio of boys to girls is 4 to 5, how many of the students are girls?
1 point
32
40
8
7. Paul can walk 15 steps in 5 minutes. How long does it take Paul to walk 75 steps?
1 point
25
225
3
8. If the ratio of pink flower to blue flower is 2 to 7 and there are 12 pink flowers, how many blue flowers are there?
1 point
6
12
42
36
Other:
9. If the ratio of white pens to green pens is 1 to 4 and there are 6 white pens, how many are green?
1 point
6
20
24
36
10. Jennifer and Melissa are both making lemonade. Melissa uses 3 cups water to 1 cup lemon juice. Jennifer uses 5 cups water to 2 cups lemon juice. Which mixture will have more lemon flavor?
1 point
Jennifer's
Melissa's
11. Nicholas has a collection of pens. He has 4 red, 9 blues, 2 white and 3 black pens. What is the ratio of black to the total amount of pens in simplified form?
1 point
1:3
1:6
3:1
6:1
Lindsay and Lorraine are trying to match the jump rope world record. Together, they need to jump 48 times in a row. Lindsay has gotten 14 jumps in a row, and Lorraine has gotten 13. How many more jumps (j) do they need to match the record? Show your work!
Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. y = 2.5 when x = 9 answer asap plaese
Answer:
k = 22.5; xy = 22.5
your welcome
XD
Ginny has a sheet of plywood that is 4 feet by 8 feet. She wants to saw the plywood into pieces 1 foot high and 2 feet long for signs. How many signs can she make with the sheet of plywood?
Answer: 16 signs
Step-by-step explanation: i not saying this cause the other person said it i am saying it because i tookthe question
In the two triangles below, all angles equal 60 degrees and ab = ef. are the two triangles congruent?
30 POINTS!!! WILL MARK BRAINLIEST! : )
1. Name the property the equation illustrates.
8 x 1/8 = 1
A) Multiplication Property of –1
B) Inverse Property of Addition
C) Inverse Property of Multiplication
D) Identity Property of Division
2. Name the property the equation illustrates.
–5 + (8 + 10) = (–5 + 8) + 10
A) Multiplication Property of –1
B) Inverse Property of Addition
C) Inverse Property of Multiplication
D) Identity Property of Division
3. Name the property the equation illustrates.
-4 x -1/4 = 1
A) Multiplication Property of –1
B) Inverse Property of Addition
C) Inverse Property of Multiplication
D) Identity Property of Division
4. Name the property the equation illustrates.
(ab)3 = a(b3)
A) Multiplication Property of –1
B) Inverse Property of Addition
C) Inverse Property of Multiplication
D) Identity Property of Division
Answer:
1. C) Inverse Property of Multiplication
2. None of these. The answer is Associative property of Addition
3. C) Inverse Property of Multiplication
4. None of these. The answer is Associative property of Multiplication
Step-by-step explanation:
1.
Given a number a , the inverse property of multiplication states that
a * 1/a = 1
and 1/a is called the multiplicative inverse of a.
So 8 * 1/8 = 1 features the inverse property of multiplication where a = 8.
2.
Given three numbers a,b,c , the associative property of addition states that a + (b + c) = (a + b) + c
In this case, a = -5, b = 8 and c = 10
3.
-4 x -1/4 = 1 features the inverse property of multiplication where a = -4.
4.
Given three numbers a,b,c , the associative property of multiplication states that (a * b) * c = a * (b * c)
In this case, a = a, b = b and c = 3
For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include all of your work.
{-4, 12, -36, ...}
What is the total number of rectangles and triangles used for the net of this solid?
a. 3
b. 4
c. 5
d. 6
The total number of rectangles and triangles used for the net of this solid is 4.
Explanation:To find the total number of rectangles and triangles used for the net of a solid, we need to examine the shape of the solid. If the given solid has 4 faces, like a regular tetrahedron or a pyramid, then it will have 3 triangles and 1 rectangle. Hence, the total number of rectangles and triangles used for the net of this solid is 4, so the answer is option b.
Learn more about Rectangles and Triangles here:https://brainly.com/question/21681499
#SPJ12
The name of a triangle whose angles are all more that 90 degrees?
Acute
Obtuse
Right
Isosceles
None of the above
Answer:
Option B is correct.
Obtuse triangle.
Step-by-step explanation:
Acute triangle:
In acute triangle, all angles are less than 90 degree.
Obtuse triangle:
In obtuse triangle, the triangle has an angle more than 90 degree.
Right triangle.
In right triangle, it has a right angle 90 degree.
Isosceles triangle.
In isosceles triangle, it can be acute, right or obtuse depends only on the apex angle.
Therefore, the triangle whose angles are all more that 90 degree is, Obtuse triangle.
find the inverse of y=x2-10x
y = x^2 - 10x + 25 - 25
y = (x-5)^2 - 25
y+25 = (x-5)^2
x-5 = +/-sqrt(y+25)
And you get TWO inverses:
x = 5 + sqrt(y+25), for x>=5
x = 5 - sqrt(y+25), for x<=5
Answer:
[tex]y=5\pm \sqrt{(25+x)}[/tex]
Step-by-step explanation:
We are asked to find the inverse for the function [tex]y=x^2-10x[/tex].
We know that to find inverse, we interchange x and y values and then solve for y.
After interchanging x and y values, we will get:
[tex]x=y^2-10y[/tex]
Switch sides:
[tex]y^2-10y=x[/tex]
[tex]y^2-10y-x=x-x[/tex]
[tex]y^2-10y-x=0[/tex]
Now, we will use quadratic formula to solve for y.
[tex]y=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]y=\frac{-(-10)\pm \sqrt{(-10)^2-4(1)(-x)}}{2(1)}[/tex]
[tex]y=\frac{10\pm \sqrt{100+4x}}{2}[/tex]
[tex]y=\frac{10\pm \sqrt{4*25+4x}}{2}[/tex]
[tex]y=\frac{10\pm \sqrt{4(25+x)}}{2}[/tex]
[tex]y=\frac{10\pm 2\sqrt{(25+x)}}{2}[/tex]
[tex]y=5\pm \sqrt{(25+x)}[/tex]
Therefore, the inverse function for our given function would be [tex]y=5\pm \sqrt{(25+x)}[/tex].
A 45° sector in a circle has an area of 13.75π cm². What is the area of the circle? Use 3.14 for pi.
Enter your answer as a decimal in the box.
cm²
Area of circle is 345.4 cm²
Area of sector:Given that;
Angle of sector = 45°
Area of sector = 13.75π cm²
Find:
Area of the circle
Computation:
Area of sector = [tex]\frac{\theta}{360}[/tex][Area of circle]
13.75π = [tex]\frac{\theta}{360}[/tex][Area of circle]
13.75(3.14) = [tex]\frac{45}{360}[/tex][Area of circle]
13.75(3.14) = [tex]\frac{45}{360}[/tex][Area of circle]
43.175 = 0.125[Area of circle]
Area of circle = 345.4 cm²
Find out more information about 'Area of circle'
https://brainly.com/question/1238286?referrer=searchResults
Jacqueline's piggy bank contains $6.20 in dimes and quarters. There are 32 coins in all. How many of each kind are there?
A sidewalk forms the diagonal of a square park. The sidewalk is 30 meters long. To the nearest tenth of a meter, how long are the sides of the park ?
The expression below is the factorization of what trinomial?
(2x + 7)(4x - 3)
A. 8x2 + 22x + 4
B. 8x2 + 28x - 21
C. 8x2 + 28x + 4
D. 8x2 + 22x - 21
What is 4 equal parts
If f is differentiable at x = c, then f is continuous at x = c.
True
False
Answer:
This is true!
Step-by-step explanation:
P.S: keep in mind that the opposite is not true! If f is continuous at x = c, then f is NOT differentiable at x = c.
:)))
If f is differentiable at x = c, then f is continuous at x = c is not true.
What is differentiable?Any point inside the range of a function's purview has a derivative, making it a computable function of one real variable. In these other phrases, each interior site in the domain of an invertible method's graph does indeed have a non-vertical line segment.
F is NOT differentiable at x = c if it is continuous at x = c.
When working with units, this quality is highly helpful since, if a curve is discrete, we automatically infer that it is indeed continuous.
Learn more about differentiable, here:
https://brainly.com/question/24898810
#SPJ2
Eric borrowed $1,800 for 9 months at 13.5% simple interest under an
add-on plan. What was his monthly payment?
a. $15.63
b. $220.25
c. $187.50
d. $1,982.25
ANSWER IS NOT C
The three angle bisectors of ΔABC meet at P. Drag the vertices around to form different triangles, and then make a conjecture. Which segments appear to be equal in length? Check all that apply. XP = YP for an acute triangle XP = ZP for an acute triangle YP = ZP for an obtuse triangle ZP = XP for a right triangle XP = YP for an obtuse triangle
helpppppppppppppppppppppp