Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000
Answer:
Step-by-step explanation:
i think this is the answer
576.628
Answer:
\(\frac{72776}{125}\)
Step-by-step explanation:
500+76+6+1/5+1/125
500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125
62500+9500+750+25+1/125
\(\frac{72776}{125}\)
or 582.208
or
\(582 \frac{26}{125}\)
Mary takes out a loan for $ 5 , 000 at a simple interest rate of 3.5 % to be paid back in 36 monthly installments. What is the amount of her monthly payments?
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic
The value of the z test statistic will be 2.55.
What is the z test statistic?The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z test statistics is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.
Then the value of the z test statistic will be
z = (x – μ) / σ
z = (25 - 14) / 4.32
z = 11 / 4.32
z = 2.546 ≈ 2.55
More about the z test statistic link is given below.
https://brainly.com/question/15016913
#SPJ1
QUESTION ON PIC BRAINLIEST THANK YOU!
Answer:
1, 3, 9, 27
Step-by-step explanation:
1 times 27 = 27
3 times 9 = 27
9 times 3 = 27
27 times 1 = 27
hope this helps!!!
Answer:
1, 3, 9, 27
Step-by-step explanation:
27 = 3³
The factors of 27 are:
1, 3, 9, 27
a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold. The Store manager wants to know how many frames are in each box
Answer:
6
Step-by-step explanation:
45/8=5.62
round it to 6
There are 6 frames in each box.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold.
Assume that the number of frames in each box are [x]. Then, we can write -
8x = 45 + 3
8x = 48
x = 6
Therefore, there are 6 frames in each box.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
#SPJ2
A small town has two local high schools. High School A currently has 250 students and is projected to grow by 50 students each year. High School B currently has 450 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Graph each function and determine after how many years, t, the number of students in both high schools would be the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
students
students per year
years
years of student
Answer:
in 8 years both school will have 650 students
Step-by-step explanation:
HS A (t) = 250+50t
HSB (t) = 450+25t
250 + 50t = 450 + 25t
25t=200
t=8
in 8 years
to graph this:
HSA points (0,250) (2, 350) (4, 450) (8, 650)(10, 750)
HSB points (0, 450) ( 2, 500) (4, 550) (8, 650) (10, 700)
when you graph then you will notice they intercept at 8, which gives you 650 students
Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each, she had 28 apples left.
Write an equation that represents the story.
Answer:
Step-by-step explanation:
4(a-1) = 28
a = 8 apples per bag
Find the perimeter of the semicircle. Let ≈ 3.14. r=17
Answer:
53.38
Step-by-step explanation:
First, find the circumference of the whole circle.
C=2pir
C=2(3.14)(17)
C=106.76
Then, divide by 2 because a semi-circle is half of a circle.
106.76/2 = 53.38
Therefore, the circumference, or the perimeter, of the semicircle is 53.38
NEED HELP ASAP
DUE BY 3!!!!!
Answer:
190
Step-by-step explanation:
I need help answering this question if possible please.
The value of cotθ where θ is in fourth quadrant is \(-\frac{5}{\sqrt{171} }\) which is option (A).
Trigonometric ratios are defined as the values of all trigonometric functions based on the aspect ratio values of a right triangle. The ratio of the sides of a right triangle to one of its acute angles is known as the trigonometric ratio of that particular angle. The three sides of a right triangle are: hypotenuse (longest side) , vertical (opposite of angle) , Base (side adjacent to corner) According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides.
It is given that cosθ = 5 /14 . ....(1)
As we know that cosθ = Base / Hypotenuse ...(2)
On comparing equation (1) and (2) , we get
Base = 5 and Hypotenuse = 14
Using Pythagorean theorem , we get
Hypotenuse² = Perpendicular² + Base²
14² = P² + 5²
196 = P² +25
171 = P²
± \(\sqrt{171}\) = P
Then , cotθ = Base / Perpendicular
= ±\(\frac{5}{\sqrt{171} }\)
As in fourth quadrant cotθ is negative so cotθ will be negative.
So , we will consider the negative value .
Cotθ = - \(\frac{5}{\sqrt{171} }\)
Learn more about trigonometric ratio here :
https://brainly.com/question/11967894
#SPJ9
literal equation
Solve for W.
420 is divided between george and Nancy in the ratio 2:3 Find who get more money.
Answer:
Nancy gets more, she gets 252 while George gets 168.
Step-by-step explanation:
420÷5=84
168:252
George:Nancy
1. Richard bought 4 shirts that cost $85 all together. Each shirt cost the same
amount. The model below represents this situation.
Which equation below and solution for x does the model represent?
A 2x + 2x = 85, x = 42.50
B 4 + x = 85, x = 21.25
C x + x + x + x = 85, x = 21.00
D 4x = 85, x = 21.25
Answer: D
Step-by-step explanation:
Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
More can be learned about the equation of a tangent line at https://brainly.com/question/7252502
#SPJ1
HEALP FAST What is the area of a rectangle with a length of Seven and one-fourth feet and a width of Eight and three-fifths feet?
Thirty and three-ninths ft2
Fifty-six and three-twentieths ft2
Fifty-six and four-ninths ft2
Sixty-two and seven-twentieths ft2
Answer:62 7/20
Step-by-step explanation:
Solve the triangle MNO (find m<O and the lengths of sides m and n).
The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan,(tetha) = opp/adj
angle O = 180-(90+34)
= 180- 124
= 56°
To find m,
Tan 34 = m/12
m = Tan34 × 12
m = 8.1 in
using Pythagoras theorem to find n,
n= √8.1²+12²
n = √65.61+144
n = √209.61
= 14.5 in
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
TOPIC=Rearranging
Task:Make x the subject of these equations
6x + v = 4x + w
ax + 9 = 2x + b
7x - w = vx+4
6 - wx = vx + 4
3(wx-v) = 4(x+v)
All the solutions are,
⇒ x = 1/2 (w- v)
⇒ x = (b - 9)/(a - 2)
⇒ x = (4 + w) / (7 - v)
⇒ x = 2 / (v + w)
⇒ x = 7v/(3w - 4)
Given that;
Expressions are,
⇒ 6x + v = 4x + w
⇒ ax + 9 = 2x + b
⇒ 7x - w = vx+4
⇒ 6 - wx = vx + 4
⇒ 3(wx - v) = 4(x + v)
We can simplify as;
⇒ 6x + v = 4x + w
⇒ 6x - 4x = w - v
⇒ 2x = w - v
⇒ x = 1/2 (w- v)
⇒ ax + 9 = 2x + b
⇒ ax - 2x = b - 9
⇒ (a - 2)x = b - 9
⇒ x = (b - 9)/(a - 2)
⇒ 7x - w = vx+4
⇒ 7x - vx = 4 + w
⇒ (7 - v) x = 4 + w
⇒ x = (4 + w) / (7 - v)
⇒ 6 - wx = vx + 4
⇒ vx + wx = 6 - 4
⇒ (v + w)x = 2
⇒ x = 2 / (v + w)
⇒ 3(wx - v) = 4(x + v)
⇒ 3wx - 3v = 4x + 4v
⇒ 3wx - 4x = 7v
⇒ (3w - 4)x = 7v
⇒ x = 7v/(3w - 4)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Please help me i need help.
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
Find the slope of the line that goes through the points (11,-14) and (-9,15).
Answer:
yo tbh
Step-by-step explanation:
just wanted the points
Answer:
slope: -1.45
Step-by-step explanation:
a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is
A=2(xy+xz+yz), where x,y,z are the dimensions, in this case
A=2(8(8)+8(10)+8(10))
A=2(64+80+80)
A=2(224)
A=448in^2
So the minimum amount of wrapping paper is 448in^2
Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
Read more on simultaneous equation:
https://brainly.com/question/16863577
#SPJ1
In 2002 the population of schoolchildren in a city was 90,000. The population decreases at a rate of 5% per year. What will be the population of school children in 2010?
Answer:
40,000 Not sure but i finish unit and got all a's and b's
Step-by-step explanation:
Answer:
59708Step-by-step explanation:
Initial population = 90000Decrease rate = 5% or 0.05 timesTime = 2010 - 2002 = 8 yearsPopulation of children in 2010:
P = 90000*(1 - 0.05)^8 = 59708 (rounded to the whole number)Albert has 10 red beads, and he has 5 fewer yellow beads than red beads. Albert also has 4
more green beads than red beads. How many beads does Albert have in all?
beads
HELPPP FACTUAL ANSWER
Answer:
29 beads
Step-by-step explanation:
Red beads: 10
Green beads: 10 - 5 = 5
Yellow beads: 10 + 4 = 14
Add, 10 + 5 + 14 = 29
Albert has 29 total beads
Have a wonderful day! :)
Write a number sentence using division to show what fraction represented on the number line is equivalent to 2/6
The fraction represented on the number line is equivalent to 2/6 is 1/3.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
The given fraction is 2/6.
Now we have to find an equivalent fraction to 2/6
Let us divide both numerator and denominator by the same number 2.
That is, 2÷2/6÷2
= 1/3
Hence, the equivalent fraction is 1/3.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ1
list
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question content area top
Part 1
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.
Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?
265 190 175 155 145 145 125 125 125 125
The mean of the given dataset is 153.5.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given a data set:
265 190 175 155 145 145 125 125 125 125
(a) To find the mean, we need to add up all the values and divide by the total number of values:
Mean = (265 + 190 + 175 + 155 + 145 + 145 + 125 + 125 + 125 + 125) / 10
Mean = 153.5
(b) To find the median, we need to find the middle value when the data is arranged in order. Since there are 10 values, the median will be the average of the fifth and sixth values:
Median = (145 + 145) / 2
Median = 145
(c) The mode is the value that appears most frequently in the data. In this case, the mode is 125, since it appears four times.
(d) The midrange is the average of the highest and lowest values:
Midrange = (265 + 125) / 2
Midrange = 195
(e) The results tell us that the net worth of all celebrities varies widely, from 125 million dollars to 265 million dollars. The mean and median are both around 150 million dollars, which suggests that the distribution is roughly symmetric.
However, the presence of two modes (125 and 145) suggests that there are multiple sub-groups of celebrities with different net worths.
Learn more about Mean here:
https://brainly.com/question/521501
#SPJ1
A TV has a listed price of $686.99 before tax. If the sales tax rate is 6.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$729.93
Step-by-step explanation:
686.99 x .0625 = 42.94
42.94 is the tax which must be added to the tv list price to get the total:
686.99 + 42.94 = 729.93
Find m1 if m5 =142 and m4=65
The value of m∠1 is 103°. The solution has been obtained by using the angle sum property.
What is the angle sum property?
The angle sum property of a triangle states that the sum of the three internal angles of a triangle is 180 degrees.
We are given that m∠5 = 142° and m∠4 = 65°.
Since m∠5 and m∠2 lie on a straight line so, they form a linear pair.
So,
⇒ m∠5 + m∠2 = 180°
⇒ 142° + m∠2 = 180°
⇒ m∠2 = 38°
We know that sum of angles of a triangle is 180°.
So,
⇒ m∠3 + m∠4 + m∠2 = 180°
⇒ m∠3 + 65° + 38° = 180°
⇒ m∠3 + 103° = 180°
⇒ m∠3 = 77°
Now, since m∠3 and m∠1 lie on a straight line so, they form a linear pair.
So,
⇒ m∠3 + m∠1 = 180°
⇒ 77° + m∠1 = 180°
⇒ m∠1 = 103°
Hence, the value of m∠1 is 103°.
Learn more about angle sum property from the given link
https://brainly.com/question/22262639
#SPJ1
The complete question and the figure has been attached below.
Question: Find m∠1 if m∠5 = 142° and m∠4 = 65°.
parallell to : y=5x-4
Answer:
Step-by-step explanation:
Suppose that f(n)=f(n/5)+3n when n is a positive integer divisible by 5, and f(1)=4.
By means of recurrence formulas and a given initial value, we find the following three results: f(5) = 19, f(125) = 469, f(3125) = 11719.
How to find the value the elements of a sequence by recurrence formula
Sequences are sets of values defined by at least one condition. In this case, we have three conditions to generate the required values:
f(n) = f(n/5) + 3 · n
f(1) = 4
\(n \in \mathbb{N}\)
Now we proceed to find the elements by recurrence:
f(5) = f(1) + 3 · 5
f(5) = 4 + 15
f(5) = 19
f(25) = f(5) + 3 · 25
f(25) = 19 + 75
f(25) = 94
f(125) = f(25) + 3 · 125
f(125) = 94 + 375
f(125) = 469
f(625) = f(125) + 3 · 625
f(625) = 469 + 3 · 625
f(625) = 469 + 1875
f(625) = 2344
f(3125) = f(625) + 3 · 3125
f(3125) = 2344 + 9375
f(3125) = 11719
By means of recurrence formulas and a given initial value, we find the following three results: f(5) = 19, f(125) = 469, f(3125) = 11719.
To learn more on recurrence formulas: https://brainly.com/question/13391306
#SPJ1
Jeremy spent $33 on 3 CDs. At This rate. how much would 6 CDs cost ?
Answer:
It would cost Jeremy $66 for 6 CDs
Step-by-step explanation:
3 CDs for $33
3(2)=6
$33(2)=$66