Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
[tex]y=-0.50(0)+12=12[/tex]
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
Answer:
y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.
Step-by-step explanation:
Note : The given equation is not correct.
It is given that Joe took $12 to the arcade and each game cost $0.50 to play.
This situation can be modeled with the equation
[tex]y=0.50x+12[/tex]
where, y is total cost of playing x games.
We need to find y-intercept.
Substitute x=0 in the above equation to find the y-intercept of the equation.
[tex]y=0.50(0)+12[/tex]
[tex]y=0+12[/tex]
[tex]y=12[/tex]
So, the y-intercept is 12.
Here y-intercept represents the total cost if the number of games is zero.
It means y-intercept shows the fixed cost of arcade, i.e., 12.
Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.
Answer:THE ANSWER IS A
Step-by-step explanation:
CORRECT ON EDGE
Answer:
A
Step-by-step explanation:
edge
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.
Answer:
Liz
Step-by-step explanation:
lets make all speeds ft/1sec
Ron 8ft/1sec
Liz 104ft/7sec : 104/7=
14.8571428571 ft/1 sec
Katie
1 mile = 5280ft
5280ft/526sec
5280/526=
10.0380228137ft/1 sec
Emily,
1 min= 60 sec
835ft/60 sec
835/60=
13.9166666667 ft/sec
now, lets order from least to greatest
R:8ft/1sec, K:10.0380228137ft/1 sec,
E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec
Liz's speed is fastest
Can someone help me on these two questions?
Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
Answer: $20.30
Step-by-step explanation:
There are 4 people and so you need to divide the cost by the amount of people to see what each person owes
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
Which set a rational numbers are ordered from least to greatest?
Wrong answers will be reported!!!!
Answer:
The answer to this is A
Step-by-step explanation:
hope it helped
Answer:
A
Step-by-step explanation:
tell me if im right
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
Ram is 20 years old now, Ram's father is 40 years old now.
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get
(-22 + 4i)/50 which can be simplified to
(-11 + 2i)/25
Answer:
Step-by-step explanation:
What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i
The conjugate is 7 - i
D if correct if you just made a typo. Otherwise there is no answer.
( - 3 + i ) * (7 - i)
=============
(7 + i ) ( 7 - i)
( - 3 + i ) * (7 - i)
=============
49 - i^2
( - 3 + i ) * (7 - i)
=============
49 + 1
( - 3 + i ) * (7 - i)
=============
50
I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
Answer please need help and is struggling
Help please! I appreciate all of you people helping me:))
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
Write the set of real numbers x less than 6 in set builder notation
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
x is a real numberx is less than 6Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
What is the third quartile of this data set 14,18,20,21,25,32,42,46,48
Answer:
40
Step-by-step explanation:
Divide the list of numbers in half.
Since there are 9 numbers (odd number), divide like this :
14, 18, 20, 21 25 32, 42, 46, 48
Find the median of the third one.
(46 + 42)/2 = 44
So the answer is 44
Hope this helped!
please mark me brainliest :)
Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}
Hey mate!!
Answer:
n(A)=12
Solution,
A={3,6,9,12,15,18,21,24,27,30,33,36}
Just count the elements,
There are 12 elements in the set.
So the cardinal number of the set is 12.
Hope it helps...Answer:
[tex]12[/tex]
Step-by-step explanation:
A = {3,6,9,12,15,18,21,24,27,30,33,36}
To find the cardinal number,
just count the numbersSo, according to that,
there are 12 numbers in this set.
So, it's clear for us that, the cardinal number of this set is 12
n (A)= 12
hope this helps
brainliest appreciated
good luck! have a nice day!
ANSWER ALL PLS NOW I NEED THIS ANSWERED
1. 6^2
2. -5^4
3. 3^3
4. -4^3
5. a^3
6. 1/2^6
7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144
8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8
9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729
10. 8x8x8x8
11. -3x-3
12. 8x8
13. -7x-7x-7x-7x-7
14. 7x7x7
15. 3/4x3/4x3/4x3/4x3/4
1) [tex]6^{2}[/tex]
2) [tex]-5^{4}[/tex]
3) [tex]3^{3}[/tex]
4)[tex]-4^{3}[/tex]
5)[tex]a^{3}[/tex]
6)[tex]2^{6}[/tex]
7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144
8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]
9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729
10) (8)(8)(8)(8)
11) (-3)(-3)
12) (8)8)
13)(-7)(-7)(-7)(-7)(-7)
14) (7)(7)(7)
15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])
For the graph, what is a reasonable constraint so that the function is at least 300?
(Graph Below)
A) x ≥ 0
B) −5 ≤ x ≤ 30
C) 0 ≤ x ≤ 25
D) All real numbers
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
C) 0 ≤ x ≤ 25
Its correct! Hope this helps :)
Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?
Answer:
he would fart 17280 times in 2 days
Step-by-step explanation:
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1
Answer:
Option D
Step-by-step explanation:
A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.
A line with an undefined slope does not touch the y-axis. It is vertical.
Option D should be the correct answer.
Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
help me, please.........
Answer:
de for the second
Step-by-step explanation:
Answer:
Step-by-step explanation:
an altitude - a ( forms with a line an angle of 90 degrees)
a perpendicular bisector- c ( divide the line in 2 equal parts and it is perpendicular on the line)
an angle bisector - d ( divide the angle in 2 equal parts)
a median - b ( a segment between an angle and the middlepoint of the opposite line)
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Answer:
4x+2= -6x+7
4x+6x=7-2
10x=5
x=1/2
Step-by-step explanation:
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74
Answer:
I think the answer would be $466.24.
ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33
Answer:
The length of side A is 12 cm
Step-by-step explanation:
This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.
Given
Side A corresponds to 24 cm
Length 6 cm corresponds to Length 12 cm
Required
Find A
The given parameters can be represented mathematically as;
[tex]\frac{A}{24} = \frac{6}{12}[/tex]
With this expression, the value of A can be easily solved
First; multiply both sides by 24
[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6 * 24}{12}[/tex]
[tex]A = \frac{144}{12}[/tex]
[tex]A =12[/tex]
Hence, the length of side A is 12 cm
Answer:
ANSWER:A
Step-by-step explanation:
ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!
byeeeeee:)
<3
In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which
angle measures are correct? Check all that apply
measure angle 1 = 60°
measure angle 13 = 80
measure angle 6 = 80°
measure angle 5 = 60°
measure angle 10 = 120
measure angle 14 = 100
Answer:
1, 13, 5 are correct
Step-by-step explanation:
Answer: A,B,D,F are correct
Step-by-step explanation:
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
A
All real number which would be -infinity < x < infinity
The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.
What is the domain of the function?According to the task content;
It follows that the function whose domain is to be defined is; y = ³√x.Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.
Read more on domain;
https://brainly.com/question/2264373
#SPJ2
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 700
x = 46
p = 46/700 = 0.066
q = 1 - 0.066 = 0.934
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.066 ± 1.645√(0.066)(0.934)/700
= 0.066 ± 0.0094
The lower limit of the confidence interval is
0.066 - 0.0094 = 0.0566
The upper limit of the confidence interval is
0.066 + 0.0094 = 0.0754
Answer:
(0.0503, 0.0811).
Step-by-step explanation:
The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.
1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.
2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.
3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.
4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.
5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.
6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).
(25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?
1975-76
1973-74
1972-73
1974-75
Answer:
1975-76
Step-by-step explanation:
On this chart, the price of gold per ounce rises almost continuously, until it suddenly drops from the years 1975 to 76 by a margin of about 40 dollars. Therefore, this these are the years with the most decrease. Hope this helps!
