When five and five hundred sixty -two thousandths is written in expanded form, the result is 5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001).
How to write in expanded form?When writing in expanded form, you should multiply each figure by the power of 10 that corresponds with their position.
Tens will be multiplied by 10
Tenths will be multiplied by 0.1
Hundredths will be multiplied by 0.01
Thousandths will be multiplied by 0.001
These numbers are then added to each other.
Five and Five hundred sixty -two thousandths is 5.562 so when written in expanded form it becomes:
5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001)
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write ____ as a single power of 6
Answer:
[tex]6^{7/2}[/tex]
Step-by-step explanation:
[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]
Answer:
This question was previously solved by an expert
A country with a population of 2.1 million experiences 4310 fatalities as a result of a virus. What is the fatality rate per 100,000?
The fatality rate per 100,000 is 205.23.
In mathematics, a rate of something is simply the ratio between two related quantities which are expressed different units. While expressing the units of any rate, the word "per" is used to distinguish the units of the two measurements used to calculate the rate.
Here, we are given that a country has a population of 2.1 million.
2.1 million can be written as- 2,100,000
The number of fatalities experienced by the country = 4,310
This means that there where 4,310 fatalities per 2.1 million of the population.
The number of fatalities per 100,000 will be given as-
4,310/ 2,100,000 × 100,000
expanding it further we get-
4,310/ 21
= 205.23
Thus, the fatality rate per 100,000 is 205.23.
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can someone help me with this?
The equilibrium price is $12.
What is the equilibrium price ?Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.
When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.
When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.
-280 + 40p = 800 - 50p
In order to determine the value of p, take the following steps:
Combine similar terms: 800 + 280 = 40p + 50p
Add similar terms = 1080 = 90p
Divide both sides of the equation by 90 : 1080 / 90 = 12
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HELP ME PLEASE, THE QUESTION IS ALREADY ATTACHED JUST CLICK ON THE PICTURE
Answer:
the only answer i could think of is because
6*5= 30 which is the remainder of the wall that needs to be painted
line p passes through point (2,5) and is perpndicular to the line whose equation is y=2x+3. which equation describe the graph of line p?
The equation of line is x + 2y = 12.
What is equation of line?The equation of a straight line is y= mx+c , m is the gradient and c is the height at which the line crosses the y -axis, also
For example,
We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5
Given:
line p passes through point (2,5)
and perpendicular to the line whose equation is y=2x+3.
As the slope of line is
m=2
for perpendicular the slope of another line is
m' = -1/m
m' = -1/2
Now, the equation of lines passes through (2, 5)
y-[tex]y_{1}[/tex]= m (x-[tex]x_1[/tex])
y-5= -1/2(x - 2)
2y - 10 = 2 -x
x + 2y = 12
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In a particular parking lot with 24 cars in it, 18 are blue. What fraction of the cars in the parking lot are blue?
Answer:3/4
Step-by-step explanation:
18/24 divide by 2 9/12 divide by 3 3/4
A rolld of wool insulation is 114cm wide and 5.2m long. one roll costs £19.65. estimate the cost of the wool insulation required for a loft floor that is 4.5m by 10m
The cost of the wool insulation required for the loft floor is £149.16498
How to estimate the cost of the wool insulation required for the loft floor?The given parameters are
Roll of wool = 114 cm by 5.2 m
One roll = £19.65 per roll
The area of one roll is calculated as
Area = Length * Width
So, we have
Area = 114 cm x 5.2 m
Convert cm to m
Area = 1.14 m x 5.2 m
Evaluate the product
Area = 5.928 m^2
The cost of the required area of loft floor is
Total cost = Unit cost/Area of 1 roll x Area of floor
This gives
Total cost = £19.65/5.928 * 4.5 * 10
Evaluate the product
Total cost = £149.16498
Hence, the cost of the wool insulation required for the loft floor is £149.16498
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Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of "333" pounds? Use a significance level of 0.05.
The regression equation is y = 11.9799 + (-246.4420)x.
The chest size (x) is the independent variable.
Now,
X Y XY X² Y²
47 282 13254 2209 79542
61 495 30195 3721 245025
51 371 18921 2601 137641
47 349 16403 2209 121801
54 421 22734 2916 177241
56 389 21784 3136 151321
Table for the sum,
n 6
sum(XY) 123291.00
sum(X) 316.00
sum(Y) 2307.00
sum(X²) 16792
sum(Y²) 912553
Numerator 10734
Denominator 11711.10
r 0.9166
r² 0.8401
Xbar(mean) 52.6667
Ybar(mean) 384.5
b 11.9799
a -246.4420
Now,
b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]
Therefore,
b = 11.9799
a = [ ∑Y - b ∑x ] / n
a = - 246.4420
So, the regression equation is:
y = 11.9799 + (-246.4420)x
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6x = 468/19 Please help! Show all work please!
Answer:
[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
6x=468/19
Step 1: Divide both sides by 6.
6x/6=468/19/6
x=78/19 (Decimal: 4.105263)
A company that replicates DVDs spends $1500 per day in building overhead
plus $0.80 per DVD in supplies and labor. If the DVDs sell for $1.59 per disk, how
many DVDs must the company sell each day before it makes a profit?
The company must sell 1899 DVDs each day to make a profit.
An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).
The owner's primary interest in the process of creating income through market production is represented by profit, which is an indicator for profitability. Different profit metrics are frequently used.Income generation and distribution must always be in balance in order for income to be produced in the market. Throughout the assessment period, the earned money is consistently dispersed as economic value to the production's stakeholders. The portion of the income formation that remains for the owner to keep after the income distribution process is known as the profit.The cost for supplies is $0.80 per DVD.
Let the company manufactured and sold x DVD s.
Now , total cost for x DVDs = 0.80 x + 1500
Total sell price for x DVDs = 1.59x
Profit = Sell price - cost price
Profit = 1.59x - 0.80x - 1500
profit = 0.79 x - 1500
Now the profit is made. Therefore profit>0
∴ 0.79 x - 1500 > 0
or , x > 1500 ÷ 0.79
or, x > 1898.734
Hence the company need to sell 1899 DVDs to make a profit.
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Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?
Please give an explanation/step-by-step process on how to solve this. Do not just answer and take points or you will get reported.
Thank you :)
can someone please tell me the answers of these
Answer:
8. 47°F
9. -20°C
10. 29,513ft
Step-by-step explanation:
8.
92°F - 45°F = 47°F
The Equator is 47°F warmer than the South Pole.
9.
-4°C × 5 = -20°C
The coldest day on record in Felix's town is -20°C
10.
29,028 - (-485)
29,028 + 485 = 29,513 feet.
The difference between Mt. Everest and the Dead Sea is 29,513 feet.
I hope this helps!
how many 5/16 pizza servings are in 2 1/4 pizzas? Please show work and explain.
thank you
The number of 5 / 16 pizza servings in 2 1/4 pizzas is 7 1/5 pizza servings.
How many servings are there?A proper fraction is a non-integer that is made up of a numerator that is smaller in value than the denominator. An example of a proper fraction is 1/4. A mixed fraction is a fraction that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/4.
In order to determine how many 5/16 pizza servings are in 2 1/4 pizza, divide 2 1/4 by 5/16. Division is the mathematical operation that is used to group a number into equal groups using another number. The sign used to represent division is ÷.
2 1/4 ÷ 5/16
9/4 × 16/5 = 36 / 5 = 7 1/5 pizza servings.
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(a) Determine the net change between the given values of the variable
(b) Determine the average rate of change between the given values of the variable
Part (a)
[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]
Part (b)
[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]
The sum of two consecutive integers is at most 223.
What is the larger of the two integers?
Enter your answer in the box.
Answer:
112
Step-by-step explanation:
You asked for consecutive integers:
x = first
x+1 = second
x + x+1 <= 223
2x +1 ≤ 223
2x ≤ 222
x ≤ 111
x +1 = 112
whats the answer ?????? simplify 5x5squared
Answer:
[tex]25 \times 25[/tex]
Step-by-step explanation:
[tex]5 ^{2} \times 5 ^{2} [/tex]165I<3hotmkms
I didn’t know what to put so heres the thing
Answer:
2b) x < - 3
2e) x < 3 or x < -3
Step-by-step explanation:
Format for quadratic equations (the only difference in quadratic equations is that the equal sign is replaced with any of the inequality symbols (< , > , ≥ , and ≤)
ax² + bx + c = 0
- To factor quadratic inequalities (we're using 2b) as a demonstration)
1) Find two numbers that make the product equal to a×c (1×9) which is 9 and the sum that equals to b which is 6. Those two numbers in this case is positive 3 and positive 3
2) Spilt the middle term with those two numbers which are positive 3 and positive 3 so the inequality x² + 6x + 9 is going to become x² + 3x + 3x + 9
3) Take the common terms and simplify the common terms in this case the common terms are x and + 3 so it can be factored as (x + 3) and (x + 3)
To find each x make each term greater than 0 so it would be x + 3 < 0 and x + 3 < 0
4) Solve for x (it is the same way to solve x in inequalities as it were for equations which is doing inverse operations to order to islolate x) It would be x + 3 - 3 < 0 - 3 which is x < - 3
2e)
1) You essentially do the same steps for solving this question too but a shortcut way of doing factoring is to do the perfect square method which is to look a c which is 9 and if its a perfect squares you can factor it as (x+3) and (x-3) since not only is the 9 negative both of these terms when added cancel out each other.
2)To find x make everything < 0 so it would be x + 3 < 0 and x - 3 < 0
3) Solve for x it would be x + 3 - 3 < 0 - 3 and x - 3 + 3 < 0 + 3 . The roots are x < - 3 or x < 3
I hope this helps :)
1. An air conditioning salesperson receives a base salary of $2850 per month plus a commission. The 1/2 commission is 2% of the sales up to and including $25.000 for the month and 5% of the sales over $25,000 for the month.
a. Write a piecewise function that relates the salesperson total monthly income based off or his/her sales for the month.
b. Sketch an accurate graph of this piecewise function
c. Determine the salesperson's monthly income if his/her sales were $43,000 for the month.
A piecewise function that relates the salesperson total monthly income based off or his/her sales for the month is X > 25000.
An accurate graph of this piecewise function is 2100.
The salesperson's monthly income if his/her sales were $43,000 for the month is $ 4250
Explanation for this is
a) S(x) = 0.02x + 2850 ( 0 < x < 25000 )
0.05x + 2100 ( X > 25000 )
b) 25k 26k
500 550
3400 = 0.05 ( 26000) + b
3400 = 1300 + b
b = 2100
c) 0.05 (43000) + 2100
= $4250
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.
In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.
The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.
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what is the q3 for 2 4 6 8 10 12
Q3 or upper quartile for the data 2,4,6,8,10,12 is 10
What is third quartile or upper quartile (Q3)?Q3 or upper quartile is an statistical term that separates the highest 25 percent data from lowest 75 percent data.
For finding quartile first arrange the given data into ascending order.
Find the median of the data then the median divides the data into two potions . the median of the upper half of data is the upper quartile.
Or if the total no of terms are n then Quartile formula for upper quartile is
= (n+1)3/4 term
Given data is 2,4,6,8,10,12 which is already arranged in ascending order and no of terms are n=6
Median of this data = ( 3rd term + 4th term)/2 =(6+8)/2=7
7 divides the data into two halves 2,4,6 and 8,10,12
Upper half is 8,10, 12 as this data has odd terms thus median will be the middle term
Median is middle term of 8,10,12 that is 10
Therefore, Q3 or the upper quartile of the given data is 10
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Question 1.
Write seven thousand, three hundred ninety-five and one hundred eight thousands in standard form.
Question 2.
Write six hundred eighty-one and four hundred sixteen thousandths in expanded form.
Question 3.
Write the following number in standard form:
(2 x 1,000) + (7 x 10) + (9 x 1) + (3 x ⅒) + (4 x 1/100) + (6 x 1/1000)
Answer:
1. 7395.108
2. 600+80+1+0.4+0.01+0.006
3. 2079.346
Step-by-step explanation:
number 1 is 7,395.108
number 2 is (6x100)+(8x10)+(1x1)+(4x1/10)+(1x1/100)+(6x1/1000)
number 3 is 2,079.346
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Under his cell phone plan, Mason pays a flat cost of $51.50 per month and $4 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $65 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
The maximum whole number of gigabytes of data he can use while staying within his budget is 3 gigabytes
What is straight-line equation?
The straight-line equation which comprises of the fixed charge that Mason would have to pay for data usage every month and the variable charge which is based on the number of gigabytes used is as shown below:
y=a+bx
y=total cos65
a=fixed charge=51.50
b=cost per gigabyte=4
x=number of gigabytes he has to use to stay within his budget=unknown
65=51.50+4x
65-51.50=4x
13.5=4x
x=13.5/4
x=3.38( 3 gigabytes so as not to pay for 4 gigabytes)
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Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.
The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slope of the equation of a line is 4, then the equation of the line will be
y = 4x + c
The equation of the line is passing through (8, 5), then the value of c will be
5 = 4(8) + c
5 = 32 + c
c = 5 - 32
c = - 27
Then the equation of the line will be
y = 4x - 27
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For the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
Principal: $5000
Interest rate: 4%
Compounding: Annually
Time: 4.5 years
The amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.
We are given that:
Principal = p = $ 5000
Interest rate = r = 4%
Compounding Annually
Time = n = 4.5 years
Now, we know that the formula for compound interest is:
Amount (A) = p ( 1 + r )ⁿ
Substituting the values in the formula, we get that:
A = 5000 ( 1 + 0.04)⁴°⁵
A = 5000 (1.04)⁴°⁵
A = 5000 (1.19)
A = $ 5956.13
Therefore, we get that, the amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.
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Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.
In the college there are 1400 male students and 1050 female students.
Select one:
O a. Absolute difference: 350
Relative difference: 3.3%
O b. Absolute difference: 350
Relative difference: 33.3%
O c. Absolute difference: -350
Relative difference: -25%
O d. Absolute difference: 350
Relative difference: 25%
Answer:
B
Give me brainliest answer
I hope I could help.
6 in. 5 in. 4 in. 1 in. 2 in. 3 in. 5 in. 4 in. what is the volume
Answer:
Step-by-step explanation:
Do 6 +5=11+4=15+1+2+18+3=21+5=26+4=30 theres ur answer:D
Need help with this question. Dropped a picture down below.
The statements that complete the figure parameters are
CEH and HEB are complementary angles and CEH = 70 degreesAEH and HEB are supplementary angles and AEH = 160 degreesHow to complete the sentences?The given parameters are:
Angle HEB = 20 degrees
From the figure, we can see that
Line CE is perpendicular to line AB
This means that
HEB + CEH = 90 degrees ---- complementary angles
HEB + AEH = 180 degrees ---- supplementary angles
So, we have
20 + CEH = 90 degrees
20 + AEH = 180 degrees
Evaluate
CEH = 70 degrees
AEH = 160 degrees
Hence, the complete statements are
CEH and HEB are complementary angles and CEH = 70 degrees
AEH and HEB are supplementary angles and AEH = 160 degrees
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The area of a rectangular wall of a bam is 120 square feet its length is 4 feet longer than twice its width. Find the length and width of the wad of the barn
Answer:
Length = 20 ft. Width = 6 ft.
Step-by-step explanation:
6. BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 2y feet and the length to be 4y – 9 feet. Write an expression in simplest form to represent the area A of the building in terms of y.
The area of the building in terms of y in its simplest form is (8y^2-18)
Since the area of rectangular is
Area = Length x Breadth
From our Question,
The width of the rectangle building is 2y feet.
So, L = 4y - 9 feet
So, the area of the building in terms of y is
Area = L x B
= (4y-9)x 2y
= (8[tex]y^2[/tex] - 18y)
So, the area of the building in term of y in its simplest form is (8y^2 -18)
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What is the equation of the linear function in slope-intercept form described by this table?
f(x)= _____x + __________
The equation of line in slope intercept form described from given table will be equal to y = -2x + 1
What is the slope intercept form of a line ?
The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).
The equation of line in slope intercept form
y = mx + c
Where m is the slope, and c is the y-intercept.
We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :
m = ( [tex]y_{2} - y_{1}[/tex] ) /( [tex]x_{2} - x_{1}[/tex] )
m = ( 3 - 5 ) / ( -1 + 2)
m = -2
Using this value to find out the equation of line we get :
y = -2x + c
Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;
5 = -2 × -2 + c
c = 5 - 4
c = 1
So , in slope intercept form the equation of line will be ;
y = -2x + 1
Therefore , the equation of line in slope intercept form will be y = -2x + 1.
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How many tenths are in one whole? How many hundredths in a whole?
pls do the work