Answer:
Step-by-step explanation:
Diameter of the circle = Side of the square = 10 cm
radius = r= 10/2 = 5 cm
Area = πr²
= 3.14*5*5 = 78.5 cm²
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x, x < or equal 200
0.10 (x - 200) + 30, x > 200
determines
the bill.
How much is the bill for a person who uses 300 kWh in a month?
A. $45
B. $40
Ο Ο Ο Ο
C. $60
D. $55
please help
Answer:
B. 40
Step-by-step explanation:
if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].
The bill for a person who uses 300 kWh in a month is $40.
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
For a person who uses 300 kWh in a month, we need to use the second part of the function:
b(x) = 0.10(x - 200) + 30, x > 200
Substituting x = 300, we get:
b(300) = 0.10(300 - 200) + 30
b(300) = 0.10(100) + 30
b(300) = 10 + 30
b(300) = 40
Therefore,
The bill for a person who uses 300 kWh in a month is $40.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
PLS HELP!! The question is in the photo!! I’m being timed pls hurry!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS!!!
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Step-by-step explanation:
Step 2 : Subtraction property of equality
Step 3: simplification
Step 4 : Subtraction property of equality
Step 5: Simplification
Step 6: Multiplication property of equality.
Step 7 : simplification
a group of 5 nurses comtain 3 women and 2 men. a second nurse is chosen at random form the four remaining nurses. given that the first nurse was a woman, what is the probability that the second nurse is also a woman
please guys help me qith this i will brainlist u i promise
write the standard form of the given number words
1.three million,eighty-five thousand three
2.one hundred fourteen million,seven hundred twenty-six.
3.seven million ninety-eight thousand
4.eight hundred eighty-two thousand,one hundred eight
5.five hundred million,six thousand,seven hundred nineteen.
Answer:
1. 3,085,003
2. 114,000,726
3. 7,098,000
4. 882,108
5. 500,006,719
Step-by-step explanation:
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
Solve the following system of equations graphically on the set of axes below.
y=x+1
3x+y=−7
(worth 60 points)
Answer:
(-2, -1)Step-by-step explanation:
Given system:
y = x + 13x + y = − 7Graph each line and find the point of intersection of lines.
Graphical solution is attached.
The solution is (-2, -1)
(-2, -1)
y = x + 1 ... (1)
3x + y = -7 ... (2)
Graph in the picture.
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
Evaluate 4(x-3)+5x-x^2 for x = 5
Answer:
the answer is 8
Step-by-step explanation:
1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]
2. solve everything out and cancel: 4(2)+25-25
3. 4(2)=8
Step-by-step explanation:
Given that:
Evaluate 4(x-3)+5x-x^2 for x = 5
⇛4(5-3)+5(5)-5²
⇛4(2) + 25 - 5*5
⇛8 + 25 - 25
⇛8 - 0
⇛8 Ans
Read more:
Similar questions
Evaluate the expression 3 4/5x − 2 1/2 for x = −5.
https://brainly.com/question/13793815?referrer
RAMP
21.7 ft
8.5 ft
12 ft
20 ft
1. What is the total surface area of the ramp?
The surface area of the triangular prism ramp is: 1,020 ft².
Surface Area of Triangular PrismSurface area = 1/2(base area × height)
The triangular prism has the following dimensions:
base area = 20 × 12 = 240 ft²
height = 8.5 ft
Plug the values into the formula:
Surface area = 1/2(240 × 8.5)
Surface area = 1/2(2,040)
Surface area = 1,020 ft²
Therefore, the surface area of the triangular prism ramp is: 1,020 ft².
Learn more about triangular prism on:
https://brainly.com/question/16147227
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
1. Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
a) $0.64 per pound
b) $1.64 per pound
c) $1.50 per pound
d) $0.75 per pound
Answer:
Answer:It is A
Step-by-step explanation: 2.56÷4
Hope that helps!!
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
Compare the properties of each exponential function over the interval(0,4)
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
Reciprocal of 7 5/8 as fraction
Hey there!
7 5/8
= 7 * 8 + 5 / 8
= 56 + 5 / 8
= 61 / 8
= 61 ÷ 8
= 7.625
Reciprocal form for fraction is basically the bottom number switched from the top number
Therefore, your answer is: 7 8/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10
Answer:
Step-by-step explanation:
YOU CAN DO THIS :)
Estimate a 15% tip on a dinner bill of 68.47 by first rounding the bill amount to the nearest ten dollars. please help thanks
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.
Answer:
d
Step-by-step explanation:
Answer: D. A bad technique because he quickly locks a joint!
Step-by-step explanation: On Edge!
1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)Put these in order starting with the smallest.
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices
93%
10%
7%
17%
The probability that the bill will be less than $100 is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]
From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%
The probability that the bill will be less than $100 is 7%
Find out more at: https://brainly.com/question/15016913
#Help plz
#No spam -_-||
#Quality answer needed
Hope it helps.
Do comment if you have any query.
What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
find the equation of the line shown
Find the equation of the line shown in the picture.
Answer:
y = x + 6
Answer:
firstly you have to find the slope of the line.
Step-by-step explanation:
for thus, use the number which is on the coordinate system like x and y. the slope is (10-6)/(4-0) =1 so m=1
the equation should be on this form y-y1=m"(x-x1)
then put the value of y and x from equation.
when the x is 4 the y have to be 10
y-10=1*(x-4)
finally the equation is y=x+6
what does b=????
27b-9=45b+45
Answer:
b=-3
Step-by-step explanation:
1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
Answer:
[tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Slope m = -1
Point [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex][Order of Operations] Simplify: [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]