The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if he pays $55?
Answers
Answer:
About 27.5 minutes
Step-by-step explanation:
When looking at the graph, you can see that the red line intersects about 27.5 minutes with $55.
Barry consumed almost 27.28 minutes.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have a graph shows Barry's monthly phone bill and the number of minutes used.
The points that lie on the graph are -
(0, 25) and (60, 90)
Slope of the line will be -
m = (90 - 25)/(60 - 0)
m = 65/60 = 1.1
[c] = 25
The equation of the line would be -
y = 1.1x + 25
For y = 55, we get -
55 = 1.1x + 25
1.1x = 30
x = 30/1.1
x = 27.28
Therefore, Barry consumed almost 27.28 minutes.
To solve more questions on straight lines, visit the link below-
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Related Questions
Consider the following. x = e4t, y = t + 7
Eliminate the parameter to find a Cartesian equation of the curve.
Answers
Answer:
y = 7 +ln(x)/4
Step-by-step explanation:
Maybe your parameterized equation is ...
(x, y) = (e^(4t), t +7)
Using t = y-7, we can substitute for t in the expression for x:
x = e^(4(y -7))
ln(x) = 4(y -7)
ln(x) +28 = 4y
y = 7 +ln(x)/4
Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons allows her to write these sums?
Answers
Answer:
A. Definition of linear pair
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.
angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.
Answer:
a
Step-by-step explanation:
a pex
If the two solids shown have the same height and the same cross-sectional area at every level, then what is the radius of the oblique cylinder?
Answers
Answer:
8
Step-by-step explanation:
If the two solids have the same height and same cross-sectional area at every level, this means that the radius of the oblique cylinder is the same as the radius of the right cylinder.
Since the radius of the right cylinder is 16/2=8, this means that the radius of the oblique cylinder must also be 8.
Algebraically, the area of the cross-section is given by:
[tex]A=\pi r^2[/tex]
If the areas of them are the same:
[tex]A_{right}=A_{oblique}[/tex]
Then:
[tex]\pi r_{right}^2=\pi r_{oblique}^2\\r_{right}=r_{oblique}[/tex]
Althea paid five dollars each for two bracelets and later sold each for $15. She paid eight dollars each for three bracelets and sold each of them for nine dollars. Write an expression that represents the profit Althea made.
Answers
Answer:
2(15 - 5) + 3(9 - 8)
Step-by-step explanation:
Profit for each $5 bracelet: 15 - 5
Profit for 2 $5 bracelets: 2(15 - 5)
Profit for each $8 bracelet: 9 - 8
Profit for 3 $8 bracelets: 3(9 - 8)
Total profit: 2(15 - 5) + 3(9 - 8)
Answer:
2(-5)+3(-8)+2(15)+3(9)=23
Step-by-step explanation:
For this expression, every time she payed for something we will use a negative number, and whenever she sold it we will use a positive number.
Lets start off with what she payed for, she bought two 5 dollar bracelets, and three 8 dollar bracelets.
2(-5)+3(-8)
Now we will see what she sold. She sold two bracelets for 15 dollars, and then sold three bracelets for 9 dollars.
2(15)+3(9)
Now we combine these to find out her profit.
2(-5)+3(-8)+2(15)+3(9)=23
Hitomi, Ben, and Gayle bought 3 pumpkins that weighed 15 pounds altogether. Ben and
Gayle's pumpkins each weighed the same amount.
Hitomis pumpkin weighed pounds. How much did Gayle's pumpkin weigh?
Answers
Answer:
5
Step-by-step explanation:
15/3=5 when the y are 3 it division
Answer:
What the other guy said
Step-by-step explanation:
A triangle has vertices at (−4,−6),(3,3),(7,2). Rounded to two decimal places, which of the following is the closest approximation of the perimeter of the triangle?
19.34
29.12
12.36
15.52
Answers
The answer is
29.12
hope this helps
Please help slove for AB.
Answers
Answer:
Based on triangles of angles: 45-45-90:
chord/2=(radius√2)/2
chord/2=(10√2)/2
chord/2=5√2
chord=10√2
Step-by-step explanation:
Hope it helps ;)
Simplify using a calculaor. Not sure how to plug it in
Answers
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------
Answer: 1000~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Calculate 10000 to the power of [tex]\frac{3}{4}[/tex].
[tex]\frac{3}{4} = 0.75[/tex]
[tex]10000^{0.75}= 1000[/tex].
Mr. Beeson has $220 in the bank and $12 in his billfold. He has bills of $76 and $188 to pay. Use a
integer to express his total balance.
Answers
Answer:
Your answer is -32
Step-by-step explanation:
First you add $220 and $12 together giving you $232
Then you subtract $76 from the $232 giving you $156
Then subtract $188 from $156 giving you a total of -$-32
i need help on this, i don’t understand it.
Answers
Answer:
D
Step-by-step explanation:
From law of indices,( X^3)^2= x^3×2=x^6
Then the other one, also from law of indices, square
root of 5 is the same as 5 raised to power 1/2, then we multiply the powers, that will give us 5 and we have our complete expression which is x^6-5
Given the preimage: A(3, 2), B(3, 6), C(11, 6), D(11, 2). Translate down 4 units. What is B'?
Answers
Answer:
B' is (3,2)
Step-by-step explanation:
In the original B coordinate pair, 6 is the y-coordinate. When we talk about shifting images or points up or down, we will normally see a change in the y-coordinate. In this case, the image is being translated 4 units down, so subtract 4 from 6 to get 2 as your y-ccoordinate for B'. Since no horizontal shift is being made, the x-coordinate from the original B point stays the same and B' becomes (3,2).
Answer:
b is (3,2)
Step-by-step explanation:
ggchvvbggggghhh
0,01,9,12,18,3,27,4,36,5,45 Types of variable input variable (input variable) .
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
these types of input variables are called integer...
The given graph shows the cigarette consumption (in billions) in the United States for the years 1900 to
2007
Choose the best estimate for the number of cigarettes smoked in 2000.
420 billion
Qi 400 billion
380 billion
450 billion
Answers
Answer:
The answer is below
Step-by-step explanation:
The graph used to estimate the consumption (in billions) in the United States for the years 1900 to 2007 is attached.
The year is plotted on the x axis and the number of cigarettes is on the y axis. To estimate the number of cigarattes smoked in year 2000, we have to find the y coordinate that corresponds to an x coordinate of 2000. This is done by drawing a line vertically to touch the graph from the point 2000 on the x axis. The point it touches the graph is then traced to the y axis to get the consumption as shown in the graph attached.
From the graph the number of cigarettes smoked in 2000 is about 420 billion cigarettes
(20x^3-7x^2+3x-7)/-13x^2-5
Answers
Answer:
x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60
see atachement it's more legible.
Step-by-step explanation:
Solve for x:
(20 x^3 - 7 x^2 + 3 x - 7)/(-13 x^2 - 5) = 0
Hint: | Multiply both sides by a polynomial to clear fractions.
Multiply both sides by -13 x^2 - 5:
20 x^3 - 7 x^2 + 3 x - 7 = 0
Hint: | Look for a simple substitution that eliminates the quadratic term of 20 x^3 - 7 x^2 + 3 x - 7.
Eliminate the quadratic term by substituting y = x - 7/60:
-7 + 3 (y + 7/60) - 7 (y + 7/60)^2 + 20 (y + 7/60)^3 = 0
Hint: | Write the cubic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
20 y^3 + (131 y)/60 - 36253/5400 = 0
Hint: | Write the cubic equation in standard form.
Divide both sides by 20:
y^3 + (131 y)/1200 - 36253/108000 = 0
Hint: | Perform the substitution y = z + λ/z.
Change coordinates by substituting y = z + λ/z, where λ is a constant value that will be determined later:
-36253/108000 + (131 (z + λ/z))/1200 + (z + λ/z)^3 = 0
Hint: | Transform the rational equation into a polynomial equation.
Multiply both sides by z^3 and collect in terms of z:
z^6 + z^4 (3 λ + 131/1200) - (36253 z^3)/108000 + z^2 (3 λ^2 + (131 λ)/1200) + λ^3 = 0
Hint: | Find an appropriate value for λ in order to make the coefficients of z^2 and z^4 both zero.
Substitute λ = -131/3600 and then u = z^3, yielding a quadratic equation in the variable u:
u^2 - (36253 u)/108000 - 2248091/46656000000 = 0
Hint: | Solve for u.
Find the positive solution to the quadratic equation:
u = (36253 + 30 sqrt(1462809))/216000
Hint: | Perform back substitution on u = (36253 + 30 sqrt(1462809))/216000.
Substitute back for u = z^3:
z^3 = (36253 + 30 sqrt(1462809))/216000
Hint: | Take the cube root of both sides.
Taking cube roots gives 1/60 (36253 + 30 sqrt(1462809))^(1/3) times the third roots of unity:
z = 1/60 (36253 + 30 sqrt(1462809))^(1/3) or z = -1/60 (-36253 - 30 sqrt(1462809))^(1/3) or z = 1/60 (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)
Hint: | Perform back substitution with y = z - 131/(3600 z).
Substitute each value of z into y = z - 131/(3600 z):
y = 1/60 (30 sqrt(1462809) + 36253)^(1/3) - 131/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = -1/60 (-30 sqrt(1462809) - 36253)^(1/3) - (131 (-1)^(2/3))/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = 131/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + 1/60 (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3)
Hint: | Simplify each solution.
Bring each solution to a common denominator and simplify:
y = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (36253 + 30 sqrt(1462809))^(1/3)) or y = -1/60 (-1/(36253 + 30 sqrt(1462809)))^(1/3) ((30 sqrt(1462809) + 36253)^(2/3) + 131 (-1)^(1/3)) or y = 1/60 (131 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3))
Hint: | Perform back substitution on the three roots.
Substitute back for x = y + 7/60:
Answer: x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60
50 points Its really geometry Distance Formula
Answers
Step-by-step explanation:
1) 51
2)32
3) 18
4)9
5)12
Answer:
slime tee
Step-by-step explanation:
charli damelio
refr
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grt
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rgt
123ssroblBelow are two different functions, f(x) and g(x). What can be determined about their y-intercepts?
X: 1,3,5
——————
G(X): 0,4,8
A)The function f(x) has a higher y-intercept
B)The function gx has a higher y intercept
C) They both have the same y intercept
D) The relationship between y intercepts cannot be determined
Answers
Answer: D) relationship between y intercepts cannot be determined
The graph of f(x) is a vertical line. It is completely parallel to the y axis, so it never crosses the y axis. We need the graph to cross the y axis somewhere in order to form a y intercept. Therefore f(x) does not have a y intercept. So we cannot compare y intercepts if f(x) doesn't have one at all.
Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for the mean using sigma notation and calculate the mean water bill for the year. Extend Your Understanding
Answers
Answer:
Σ( xi ) / n ; $29
Step-by-step explanation:
Given the following data:
X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26
Number of observations (n) = 12
Mean formula (m) = ( Σ xi ) / n
Where i = each individual value in X
Mean water bill for the years is thus :
m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12
m = 348 / 12
m = 29
Hence, the mean water bill for the year is $29
Four different linear functions are represented below.
a) which function has the graph with the greatest slope?
b) which functions have graphs with y intercepts greater than 3?
c)which function has the graph with a y intercept closest to 0
Answers
Answer:
A) Function 4
B) Function 2
C) Function 3
Step-by-step explanation:
Use _________ to isolate the variable. A reciprocals B subtraction C an expression D inverse operations
Answers
For example, let's say we had the equation x+10 = 30
We are adding 10 onto some unknown number x to get 30. To find x, we undo what is happening to x, so we subtract 10 from both sides. Subtraction is the inverse operation of addition.
Answer:
d, i took the test i can confirm its correct lol
Step-by-step explanation:
There are three different colored balls: orange, green and purple. The probability of randomly choosing orange ball from a bag is 45%. The probability of randomly choosing a green ball from bag is 0.10. Explain how likely it is, in relation to 0, for Jared to randomly choose a purple ball from the bag. * l
Answers
Answer:
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probabiity = expected outcome/total outcome
Let the total outcome be 100% = 1.0
Given three different colored balls: orange, green and purple. If the probability of randomly choosing orange ball from a bag is 45%. The probability of randomly choosing a green ball from bag is 0.10
The probability of choosing both orange ball and green ball is 0.45+0.10 = 0.55.
Since the total outcome of probability is 1, then the probability for Jared to randomly choose a purple ball from the bag will be expressed as;
Pr(purple) = 1 - [Pr(green)+Pr(orange)]
Pr(purple) = 1 - [0.45+0.10]
Pr(purple) = 1 - 0.55
Pr(purple) = 0.45
Hence it is 45% likely for Jared to randomly choose a purple ball from the bag.
Match the parent function name with the equation. Linear Quadratic Radical Absolute Value Rational Exponential Log Cubic Cube Root
Answers
Step-by-step explanation: The correct graph is #6. Cubic Function
if i bought a product for $74.83 and get a 10% refund how much do i get back?
Answers
Explain how to perform a two-sample z-test for the difference between two population means using independent samples with
σ1 and σ2 known.
Answers
Answer:
Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
Step-by-step explanation:
Let X1` be the mean of the first random sample of size n1 from a normal population with a mean u1 and known standard deviation σ1.Let X2` be the mean of the second random sample of size n2 from another normal population with a mean u2 and known standard deviation σ2. Then the sampling distribution of the difference X1`-X2` is normally distributed with a mean of u1-u2 and a standard deviation of
[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] . (here s1=σ1 and s2= σ2) In other words the variable
Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
is exactly standard normal no matter how small sample sizes are . Hence it is used as a test statistic for testing hypotheses about the difference between two population means.
The procedure is stated below.
1) Formulate the null and alternative hypotheses.
2) Decide on significance level ∝
3) Use the test statistic Z= (X1`-X2`)- (u1-u2)/[tex]\sqrt{ \frac{ s_1^2}{n_1^2} +\frac{ s_2^2}{n_2}[/tex] (here s1=σ1 and s2= σ2)
4) Find the rejection region
5)Compute the value of Z from the sample data
6) Rehect H0 if Z falls in the critical region, accept H0 , otherwise.
solve for n: 2n+3=-3.2
Answers
Answer:
2n+3=3.2
2n=3.2-3
2n=0.2
n=0.2/2
n=0.1
The solution of the given equation for n will be -3.1.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
2n + 3 = -3.2
2n = -3.2 - 3
n = -6.2/2
n = -3.1
Hence "The solution of the given equation for n will be -3.1".
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(8-8i)(2+i)= (simplified)
Answers
Answer:
24-8i
Step-by-step explanation:
(8-8i)(2+i)=8*2+8i-8i*2-8i^2=16+8i-16i-8*(-1)=16-8i+8=24-8i
15. Jim had 103 red and blue marbles. After giving of his blue marbles and 15 of his red marbles
to Samantha, Jim had as many red marbles as blue marbles. How many blue marbles did he
originally have?

Answers
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Answers
Answer:
The value of [tex]v[/tex] is ± 22.729.
Step-by-step explanation:
Let be [tex]a=m\cdot g -\frac{k\cdot v^{2}}{m}[/tex], the variable [tex]v[/tex] is now cleared:
[tex]\frac{k\cdot v^{2}}{m}=m\cdot g -a[/tex]
[tex]k\cdot v^{2} = m^{2}\cdot g- m\cdot a[/tex]
[tex]v^{2} = \frac{m^{2}\cdot g - m\cdot a}{k}[/tex]
[tex]v =\pm \sqrt{\frac{m^{2}\cdot g-m\cdot a}{k} }[/tex]
If [tex]a = 2.8[/tex], [tex]m=12[/tex], [tex]g = 9.8[/tex] and [tex]k = \frac{8}{3}[/tex], the value of [tex]v[/tex] is:
[tex]v=\pm \sqrt{\frac{(12)^{2}\cdot (9.8)-(12)\cdot (2.8)}{\frac{8}{3} } }[/tex]
[tex]v \approx \pm 22.729[/tex]
The value of [tex]v[/tex] is ± 22.729.
Write the equation of a line with a slope of -2 and a y-intercept of 5
Answers
Answer:
y = - 2x + 5Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
Slope / m = - 2
y intercept / c = 5
Substitute the values into the general equation above
We have the final answer as
y = - 2x + 5Hope this helps you
last one anyone know it?
Answers
Answer:
6/(-2) = -3
Step-by-step explanation:
rule - when you divide positive number by a negative number then it is negatie so with the same rule applied it is
6/-2
-3
6 + (-2) means we start at 0 and go up 6 units to arrive at 6 on the number line. In terms of a building, you can think of starting on the ground floor and then going up 6 floors. Then adding on the -2 means we go down 2 floors to arrive at 6 + (-2) = 6-2 = 4
Answer: Choice B) go up 6, then down 2What is the probability of drawing a spade or a jack from a standard deck of 52 cards?
Answers
Answer:
4/13
Step-by-step explanation:
There are 4 jacks in the deck and 13 spades. However 1 jack is a spade so we have a total of 16 cards which are either a jack or a spade. Therefore there are (13 + 4 - 1)/52 cards which are not a jack or a spade. Divided 16/52, thus the probability is 4/13.
The probability of drawing a spade or a jack from a standard deck of 52 cards is;
P(drawing either a spade or jack) = 4/13
We are told that the standard deck of cards has 52 cards.
Thus;
N = 52
Now,in a pack of cards there are usually 4 Jacks and 13 spades.
However, among the 4 Jacks, 1 of them is a spade. This means that 1 card will be both a spade and a jack. Thus,
Possible number of Jack's and spades = 13 + 4 - 1 = 16
Thus;
P(drawing either a spade or jack) = 16/52 = 4/13
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