The set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
Powers of 10 is any integer powers of the number 10. In simple words 10 multiplied by itself several times.
We need to define a set of nonnegative powers of 10 using the given set builder notation .
Powers of 10 is expressed as = 10ⁿ where n = 0,1,2,....
Thus in set builder form we can write
(x | x = 10ⁿ , n = 0,1,2,3....) which states that x is such that (which is denoted as '|' ) x is equal to 10ⁿ where n is equal to 0,1,2,....
Hence the set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
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A skating rink charges $6.25 for skate rentals for people of all age groups. If C
represents the total number of children who rented skates and A represents the
total number of adults who rented skates, which expression best represents the
total money earned by the skating rink for the rental of skates?
a. 6.25 + a + c
b. 6.25a + 6.250
c. 6.25 (a + c)
d. 6.25a X 6.250
Answer:
C: 6.25 (a+c)
Step-by-step explanation:
Since the price for all ages is $6.25
Both children and adult (c,a) would be multiplied by the price to get the total money earned
What is the answer for this
Answer:
B
Step-by-step explanation:
What is the value of x in the picture below? Round your answer to the nearest 10th (1 decimal place)
1 A
41°
Answer:
try to find the c's in the o's how many are there?
Step-by-step explanation:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
which table represents linear function?
Answer: The third option
Step-by-step explanation: You have to look for a pattern, as the x value increases by 1, the y value decreases by 8, every single time.
Joshua drove his car a distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?
Answer:
6 liters of gasoline
Step-by-step explanation:
Since, 1 km = 0.6214 miles
Therefore, 100 km = 0.6214 × 100 = 62.14 miles
∵ For 431.8 miles of driving Joshua required amount of gasoline = 10.4 gallons
∴ For 1 mile of driving gasoline required = [tex]\frac{10.4}{431.8}[/tex] gallons
∴ Gasoline required to drive 62.14 miles = [tex]\frac{10.4}{431.8}\times 62.14[/tex] gallons
= 1.4967
≈ 1.5 gallons
∵ 1 gallon of gasoline = 3.8 liters
∴ 1.5 gallons of gasoline = 3.8×1.5
= 5.7
≈ 6 liters
The number of liters of fuel should be 6 liters.
Calculation of number of liters:Since distance of 431.8 miles, and it required 10.4 gallons of gasoline (petrol).
So,
Since, 1 km = 0.6214 miles
Now
100 km = 0.6214 × 100 = 62.14 miles
The number of liters should be
[tex]= 10.4 \div 431.8 \times 62.14 \times 3.8[/tex]
= 6 liters
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where RS = 6y + 2, ST = 2y + 7, and RT = 13y - 21.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete but a possibility is that the given parameters are points on a straight line.
I'll answer base on that assumption.
[tex]RS = 6y + 2[/tex]
[tex]ST =2y + 7[/tex]
[tex]RT =13y -21[/tex]
To solve for y, we have that:
[tex]RT = RS + ST[/tex]
This gives:
[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]
Collect Like Terms
[tex]13y - 6y - 2y = 21 +2+7[/tex]
[tex]5y = 30[/tex]
Divide both sides by 5
[tex]y = 6[/tex]
To get the measure of each line. Substitute 6 for y in
[tex]RS = 6y + 2[/tex]
[tex]ST =2y + 7[/tex]
[tex]RT =13y -21[/tex]
[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]
[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]
[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]
HELP PLS!!! ASAP
To divide x^3y by x^4y, first divide y by y to get x^3/x^4. Which of these would you do next to solve?
Question 20 options:
x(4 – 3)
x(3 – 4)
x(3 ÷ 4)
x(4 ⋅ 3)
Answer:
x(3 – 4)
Step-by-step explanation:
x^3y
/x^4y
get rid of y
x^3/x^4
subtract exponents
x(3 – 4)
Brainliest please ask me if you have more questions.
QUICKLY!!!!!!!!!
In the figure to the right, AB=7 1/2m, BC=2 1/4 m, and DE=1 1/4m. Find the perimeter of the figure if all angles are right.
Answer:
22m
Step-by-step explanation:
You're welcome, just trust me it's right.
pls help ill mark brainless
Answer: A.
Step-by-step explanation: Brainliest plz
The line starts from 1. It ends at 3.5. 3.5-1 is 2.5.
Answer:
shut dafaq up
Step-by-step explanation:
Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.
B.
Line JK and line LM will be perpendicular.
C.
The slope of line JK will be the same as the slope of line EF.
D.
The slope of line LM will be the negative reciprocal of the slope of line GH.
Answer:
A.
Step-by-step explanation:
I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.
EF: (-9,1) (-4,9)
[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
GH: (-5,-2) (0,6)
[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
Same slope and different y-intercept means the lines a parallel
For what values of x and y must ABCD be a parallelogram?
What is the domain of the function y=x-1
Answer:
All rational numbers or all numbers
Step-by-step explanation:
The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.
Domain is the x-values that a function has, while range is the y-values.
Since the domain and range are infinite, it is all real numbers.
Hope this helps!
Edit: forgot the image
I zoomed out 2 million units out so you get what im saying kinda
Put -4.8, -4/1 10, and -17/4 in order from LEAST TO GREATEST
solve this one please I will mark brainlist
The only decimal that contains a digit that represents ten times the value of the digit to its' right is; 33.458
How to Interpret Decimals?From the question, we want to find the digit that represents ten times the value of the digit to its' right.
Now, when it comes to decimals, there is the whole number part which is the left side of the decimal while there is a fraction part which is the right side of the decimal.
Now, the decimal values given are;
36.295
33.458
37.889
Let us analyze each of them;
1) 36.295 = 30 + 6 + 2/10 + 9/100 + 5/1000
We can see that there is no number that is ten times the number to it's immediate right.
2) 33.458 = 30 + 3 + 4/10 + 5/100 + 8/1000
We can see that 30 is ten times the number to it's immediate right which is 3.
3) 37.889 = 30 + 7 + 8/10 + 8/100 + 9/1000
We can see that there is no number that is ten times the number to it's immediate right.
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On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for $18.40.
Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints in this situation.
equation 1: `5c+4p=18.40`
equation 2: `2c+4p=11.20`
What does the solution to the system, `\left(c,p\right)`, represent in this situation?
Answer:
(_11)×15 please help help me me my question solve please
Slope intercept (-1,4) and (0,2)
Answer:
-2 or -2/1
Step-by-step explanation:
Take these two points and just do rise over run.
What is the sum of 2x, 8x and -3x
Answer:
2x+8x-3x= 7x
Step-by-step explanation:
simply just sum the number
Help please!!!!!!!!!!
[tex]3x+15y=45[/tex]
[tex]x+5y=15[/tex] ↦ Divide the whole equation by 3.
[tex]5y=15-x[/tex] ↦ Move the x to another side.
[tex]y=\frac{15-x}{5}[/tex] ↦ Move 5 to divide 15-x
[tex]y=\frac{15}{5}-\frac{x}{5}[/tex] ↦ Separate
[tex]y=3-\frac{x}{5}[/tex] ↦ Divide 15 by 5 as we get 3.
[tex]y=-\frac{x}{5}+3[/tex] ↦ Arrange in the form of y = mx + b or the slope-intercept form.
That's the answer.
Enter the exact product of 5.21x 7.3
The lifetime of a 2-volt nonrechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Of all batteries, 90% have a lifetime shorter than
It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.
What is standard deviation?A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l
It should be noted that the Z value will be computed thus:
Z = X - U / SD
Z = 541.6 - 516 / 20
Z = 1.28.
This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours
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The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?
Combine like terms:
8n^2-5n+5+3n-1
Answer:
Step-by-step explanation:
8n^2-2n+4
Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
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Answer: Manuel is flying two kites. He has
102
feet of string out to one kite and
111
feet out to the other kite. The angle between the strings is
36°
as shown in the figure below. Find the distance between the kites
A line through (4,-8) with a slope of -8 has y intercept at (0,?)
Answer:
so y intercept is 24
Step-by-step explanation:
Using y = mx + b
m = -8
y = -8
x = 4
then -8 = -8(4) + b
-8 = -32 + b
b = 32 - 8 = 24
What is the equation of the line that passes through the point (2,−4) and has a slope of 2?
Solve for x in the triangle
5, Combine like terms: 8C C+ 12
Answer:
9c + 12
Step-by-step explanation:
Answer:
9c+12
Step-by-step explanation:
Order the values from least to greatest
-2.1,|5|,|4|,8, -7/12=
Step-by-step explanation:
-7/12 -2.1, 4, 5, 8
I couldn't read it well but I think this is what you meant.
These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !
If the function h(t) = tan(5t +4 ) using chain rule we found values h'(1)= 6.02 and h"(1) = -27.24
What is chain rule for differentiation?Chain rule for differentiation states that the differentiation of the composition of two functions f, g
(fоg)' = f'(g(x))* g'(x) , where ' represents first derivative with respect to independent variable x .
For three functions : x, y, t
(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)
Given h(x) = tan(5t+4)
Let f(t) = tan t and g(t) = 5t+4
f'(t) = sec² t and g'(t) = 5
Then h(t) = fоg(t)
Using chain rule of differentiation:
h'(t) = (fоg(t))' = f'(g(t))* g'(t) = sec²(5t+4) *(5) = 5 sec²(5t+4)
let x(t) = 5t², y(t) = sec(t), z(t) = 5t+4
x'(t) = 10t , y'(t) = sect tan t , z'(t) =5
(x(y(z(t))))' = x'(y(z(t)))*(y'(z(t)))*z'(t)
h"(t) =(x(y(z(t))))'= 10 sec(5x+4) * sec(5t+4)tan(5t+4)*5
h"(t) = 50sec²(5t+4)tan(5t+4)
The value of h'(t) at t =1
h'(1 ) = 5 sec²(5(1)+4)= 5 sec²(9) =6.02
h"(1) = 50sec²(5(1)+4)tan(5(1)+4) = 50sec²(9)tan(9) = -27.24
Therefore, the values h'(1 ) = 6.02 and h"(1) = -27.24
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Each day, you run on a treadmill for r minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
Explain your reasoning. there's two answers
They are both expressions with r as the variable.
They are not equivalent expressions.
They are equivalent expressions.
Both expressions contain the terms 5, r, and 15.
Answer:
5(15+r)= however many minutes 5*r is
or (5*15)+(r*15)
Step-by-step explanation:
!!!!PLEASE HELP ME, WHY ISNT ANYONE HELPING ME!!!!
Which of the following is an identity?
A. sinBsecBcotB = 1
B. sinBsecBcotB = cotB
C. sinBsecBcotB = sin²B/cos²B
-------------------
tan A - sec A =
A. Sin^2A - cosA/cosA
B. sinA-1/cosA
C. cos^2A - 1/cosA
--------------------
1/1 - sinA + 1/1 + sinA =
A. 2 cos^2 A
B. 2 sec^2 A
C. tan^2 A
D. cot^2 A
Answer:
Step-by-step explanation:
A is correct for first question