After 85 minutes of calls, there are $27.25 left on the card.
What is the remaining credit after 85 minutes of calls?
A linear equation in slope-intercept form is:
y = a*x + b
Where a is the slope.
If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)
(points of the form (time, dollars)).
So the slope is:
[tex]a = \frac{32.2 - 36.7}{52 -22} = -0.15[/tex]
The linear equation is then:
y = -0.15*x + b
To find the value of b, we use the point (22. 36.7)
36.7 = -0.15*22 + b
36.7 + 0.15*22 = b = 40
Then the linear equation is:
y = -0.15*x +40
The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.
y = -0.15*85 + 40 = 27.25
This means that after 85 minutes of calls, there are $27.25 left on the card.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
y = x^3 - 4
y = (x - 4)^3
y = (-x - 4)^3
y = (-x)^3 - 4
Solve for x in the equation 4/x-3=x
Answer:
jenejebdjdndnr
r
r
r
r
r
r
Answer:
Step-by-step explanation:
Comment
Multiply through by x - 3
Then factor the result
4*(x - 3) / (x - 3) = x*(x - 3)
4 = x * (x - 3 ) Remove the brackets
4 = x^2 - 3x Subtract 4 from both sides
4-4 = x^2 - 3x - 4 Simplify
0 = x^2 - 3x- 4
This factors
0=(x - 4)(x + 1)
Answer
x - 4 = 0
x = 4
x+ 1 = 0
x = - 1
Two dice are rolled. What is the probability of getting a sum equals 5?
Probability = (Round to 4 decimal places)
log(2t+4)=log(14-3t)
Answer:
t = 2
Step-by-step explanation:
[tex]2t + 4 = 14 - 3t[/tex]
[tex]5t = 10[/tex]
[tex]t = 2[/tex]
Checking:
[tex] log(2(2) + 4) = log(8) [/tex]
[tex] log(14 - 3(2)) = log(8) [/tex]
Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice
Answer:
6.25 litres
Step-by-step explanation:
ratio 1:4
25/4 = 6.25
4 * 6.25 = 25
1 * 6.25 = 6.25
= 6.25 litres of concentrate
Answer:
6.25 litres of juice concentrate
if 3t -7 = 5t, then 6t =
Answer:
21
Step-by-step explanation:
[tex]3t-7=5t[/tex]
subtract 3t from both sides
[tex]-7 = 2t[/tex]
multiply both sides by 3
[tex]-21 = 6t[/tex]
so 6t = -21
What is the exact value of sin (- 105)?
Answer:
Just put it into a calculator
0.97053528353
[tex]\text{Let's find the sine of -105 degrees}\\\text{Start by typing -105 into our calculator}\\\text{and click the sin button}\\\text{It gives us an irrational number, which is the sine of -105 degrees}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{The value is end less, it would take an eternity to type it here,}\\\text{ but I will round it to the nearest 100th}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{-0.97}[/tex]
Help me please help help
[tex]\angle P = \angle S \Rightarrow \angle S = 42 &^\circ\\\angle Q = \angle T \Rightarrow \angle S = 86 &^\circ\\\angle R = \angle U\\[/tex]
Sum of all angles in a triangle equals 180:
[tex]\angle R = 180 - (86 + 42) = 180 - 128 = 52[/tex]
Answer:
[tex]U = 52 &^ \circ[/tex]
Evaluate the expression.
{[(30 – 60) ÷ (-30)]² – 15} ÷ (-7)
What is the value of the expression?
Answer:
22/7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
(30–60)= –30
[‐30÷(–30)]²=1
{1–15}=–14
–14÷(–7)=2
Gold has a density of 19.32 grams per cubic centimeter. How much does one-half of a cubic centimeter weigh? Gold has a density of 19.32 grams per cubic centimeter . How much does one - half of a cubic centimeter weigh ?
Substituting into the formula [tex]d=\frac{m}{v}[/tex],
[tex]19.32=\frac{m}{0.5}\\\\m=\boxed{9.66 \text{ grams}}[/tex]
Given mCT=26 and m/CAT =124° find the length of CA, the radius in Circle A. Use
π = 3.14 in your calculation and round to the nearest tenth.
Answer:
[tex]\text{length of \textit{CA}} \ = \ 12.0 \ \ \ (\text{nearest tenth})[/tex]
Step-by-step explanation:
Radian measure is the ratio of the length of a circular arc to its radius.
A radian is the measurement of the central angle which subtends an arc whose length is equal to the length of the radius of the circle.
In the case of the unit circle, as shown in the figure below, one radian is the angle of the sector with a radius of 1 and circular arclength of 1.
Following this definition, the magnitude, in radians, of one complete revolution of a unit circle is the circumference of the unit circle divided by its radius, [tex]\displaystyle\frac{2\pi}{1}[/tex] or [tex]2\pi[/tex]. Thus, [tex]2\pi[/tex] radians is equal to [tex]360^{\circ}[/tex] degrees. Alternatively, one radian is equal to [tex]\displaystyle\frac{180^{\circ}}{\pi} \ \approx \ 57.296^{\circ} \ \ \ (3 \ d.p.)[/tex].
Since radian measure is defined as the ratio of the arc length of a sector to its radius, hence
[tex]\displaystyle\frac{s}{r} \ = \ \theta \\\\ s \ = \ r\theta[/tex]
where [tex]s[/tex] is the arclength, [tex]r[/tex] is the radius, and [tex]\theta[/tex] is the central angle, in radians.
Therefore, the length of CA is
[tex]\displaystyle\frac{s}{\theta} \ = \ r \\ \\ r \ = \ \displaystyle\frac{26}{124^{\circ} \ \times \ \displaystyle\frac{\pi}{180^{\circ}} \ \text{rad}} \\ \\ r = \displaystyle\frac{26 \ \times \ 45}{31 \ \times \ 3.14} \\ \\ r\ = \ 12.0 \ \ \ \ \left(\text{nearest tenth}\right)[/tex]
If you drive 72 miles and use 6 gallons of gas, what is your rate
Answer:
Well, it depends if you are asking the rate per gallon it would be 12 miles per gallon.
In a recent year (365 days), a hospital had 5705
births.
a. Find the mean number of births per day.
b. Find the probability that in a single day, there are 17
births.
c. Find the probability that in a single day, there are no births. Would 0 births in a single day be a significantly low number of births?
Using the Poisson distribution, it is found that:
a) The mean is of 15.63.
b) The probability is of 0.0911 = 9.11%.
c) The probability is [tex]e^{-15.63}[/tex], which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is given by:
[tex]\mu = \frac{5705}{365} = 15.63[/tex]
Item b:
The probability is P(X = 17), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 17) = \frac{e^{-15.63}(15.63)^{17}}{(17)!} = 0.0911[/tex]
The probability is of 0.0911 = 9.11%.
Item c:
The probability is P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-15.63}(15.63)^{0}}{(0)!} = e^{-15.63}[/tex]
The probability is [tex]e^{-15.63}[/tex], which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
#SPJ1
Using the Poisson distribution, it is found that
a) The mean is 15.63.
b) The probability is[tex]e^{-15.63}[/tex] of 0.0911 = 9.11%.
c) The probability is, which is less than 0.05, hence 0 births in a single day would be a significantly low number of births.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P\left(X=x\right)=\frac{e^{-\mu }\mu ^x}{x!}[/tex]
The parameters are
x is the number of successes.
e = 2.71828 is the Euler number.
[tex]\mu[/tex] is the mean in the given interval.
Item a:The mean is given by:
[tex]\:\mu =\frac{5705}{365}[/tex]
Item b: The probability is P(X = 17), hence:
[tex]P\left(X=17\right)=\frac{e^{-15.63\:}\left(15.63\right)\:^{17}}{17!}=0.0911[/tex]
The probability is of 0.0911 = 9.11%.
Item c:The probability is P(X = 0), hence:
[tex]P\left(X=0\right)=\frac{e^{-15.63\:}\left(15.63\right)\:^{0}}{0!}=e^{-15.63}[/tex]
The probability is,[tex]e^{-15.63}[/tex] which is less than 0.05,
hence 0 births in a single day would be a significantly low number of births.
More can be learned about the Poisson distribution at brainly.com/question/13971530
#SPJ1
1.
Which of the following is the given function's
average rate of change on the interval
-3
Answer: -2
Step-by-step explanation:
[tex]g(-3)=0\\\\g(-2)=-2\\\\\frac{g(-3)-g(-2)}{-3-(-2)}=\frac{0-(-2)}{-1}=\boxed{-2}[/tex]
4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5
Answer:
6x > 3+4(2x -1)
6x > 3+ 8x - 4
6x > (-1) + 8x
6x - 6x > (-1) + 8x - 6x
subtracting 6x from both sides
0 > 2x - 1
adding +1 on both sides
1 > 2x
1/2 > x
x < 1/2
The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,
⇒ x ≤ 1/2
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ 6x ≥ 3 + 4(2x - 1)
Now, We can simplify as;
⇒ 6x ≥ 3 + 4(2x - 1)
⇒ 6x ≥ 3 + 8x - 4
⇒ 6x ≥ 8x - 1
⇒ 1 ≥ 8x - 6x
⇒ 1 ≥ 2x
⇒ x ≤ 1/2
Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,
⇒ x ≤ 1/2
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ5
If I=$312.50 R=25% T=0.25 what is P
Step-by-step explanation:
please mark me as brainlest
What is the median of these figure skating ratings?
5.0 6.0 7.0 7.5 8.0 9.0 10.0
Answer:
5.0 6.0 7.0 7.5 8.0 9.0 10.0
arranging the following
5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0
7.5 is the median..
solve the equation 7m^2-4m+1=0. fully simplify all answers, including non-real solutions
m=
Answer:
m is not an element of real number
3y + 9x = 21 Graph A On a coordinate plane, a line goes through (negative 3, negative 2) and (0, 7). Graph B On a coordinate plane, a line goes through (0, negative 7) and (3, 2). Graph C On a coordinate plane, a line goes through (0, 7) and (3, negative 2). Graph D On a coordinate plane, a line goes through (negative 3, 2) and (0, negative 7). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided
Answer:
Graph C
Step-by-step explanation:
Graph A (-3, -2) (0, 7)
3(7) + 9(0) = 21
21 = 21 ✓
3(-2) + 9(-3) = 21
-6 - 27 = 21
-33 = 21 ✖
Graph B (0, -7) (3,2)
We know from above that (0, 7) is a point on the line 3y + 9x = 21, therefore point (0, -7) cannot be on that line.
3(2) + 9(3) = 21
6 + 27 = 21
33 = 21 ✖
Graph C (0, 7) (3, -2)
We know from above that (0, 7) is a solution.
3(-2) + 9(3) = 21
-6 + 27 = 21
21 = 21 ✓
Since both points on graph C is a solution to the equation of the line given, it is the answer (looking at graph D is not necessary unless you want to double check your answer).
Help please asap I need help
Answer: 72
Step-by-step explanation:
[tex]\sum^{3}_{t=0} (6t^{2}-3)=(6(0)^{2}-3)+(6(1)^{2}-3)+(6(2)^{2}-3)+(6(3)^{2}-3)=\boxed{72}[/tex]
How can I solve this? Thank you
The labeled angles are both equal to c by the corresponding angles theorem.
Thus, a+b=c by the exterior angle theorem.
which has more KE ? a 2 g bee flying at 1 m/s OR a 1 g wasp flying at 2 m/s [tex] \\ [/tex] ty! ~
Answer: Wasp has greater kinetic energy of 0.002 Joules
Given for bee:
mass: 2g = 2 × 10⁻³ kgvelocity: 1 m/sGiven for wasp:
mass: 1 g = 1 × 10⁻³ kgvelocity: 2 m/sFormula:
Kinetic Energy (J) = ½ × mass (kg) × velocity² (m/s)Kinetic energy of bee:
½ × 2 × 10⁻³ × 1² = 1 × 10⁻³ Joules ≈ 0.001 JoulesKinetic energy of wasp:
½ × 1 × 10⁻³ × 2² = 2 × 10⁻³ Joules ≈ 0.002 JoulesFrom this, it is determined wasp has greater kinetic energy.
my sis needs help asap
Answer:
3/4 - 5/12
Step-by-step explanation:
first you make the demoninators the same so 3*4=12
and if you *3 you do it to the numerator
so its 9/12-5/12
the unsimplified fraction is 4/12
if wanted simplified version its 1/3
[tex]\frac{3}{4}-\frac{5}{12}\\[/tex]
First make the denominators equal so you can easily add the numerators
Common Factor of 4 and 12: 12
So multiply [tex]\frac{3}{4}[/tex] with 3 for both numerator and denominator (4*3=12, to make denominator equal)
[tex]\frac{9}{12} - \frac{5}{12} =\frac{4}{12}[/tex]
Simplify further
[tex]\frac{4}{12} =\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] is the answer
Hope it helps!
Suppose Jenny places 9500 in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account.
tell me your the greatest but once you turn they hate us
Question 6b
6b of 6
The width of a rectangle is 15 centimeters less than its length. If the area of the
rectangle is 100 square centimeters, find the length and the width using the formula
A = lw.
O Length = 25 centimeters and Width = 10 centimeters
○ Length = 20 centimeters and Width = 5 centimeters
O Length = 115 centimeters and Width = 100 centimeters
○ Length = 5 centimeters and Width = 20 centimeters
Answer:
○ Length = 20 centimeters and Width = 5 centimeters
Step-by-step explanation:
Let the length = L
Then the width is L - 15
A = lw
100 = L(L - 15)
L² - 15L - 100 = 0
(L - 20)(L + 5) = 0
L - 20 = 0 or L + 5 = 0
L = 20 or L = -5
Since a length of a rectangle cannot be negative, we discard the solution L = -5 and keep the solution L = 20.
L = 20
width = L - 15 = 20 - 15 = 5
Answer: ○ Length = 20 centimeters and Width = 5 centimeters
Tickets for a county fair are $8 for an adult and $5 for a child. If you have a 15% discount card, how
much will 2 adult tickets and 2 child tickets cost?
Answer:
$21.25
Step-by-step explanation:
The cost of the 2 adult tickets before the discount is $8 * 2 = $16
The cost of the 2 child tickets before the discount is $5 * 2 = $10
The total cost before the discount is $16 + $10 = $26
The total cost after the discount is
$26 * (1 - 0.15) =
$26 * 0.85 =
$21.25
Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the x-values in order from least to greatest (read the graph from left to right). Then, state the domain and range of the function.
The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The Graph shows the line function;
When the value of x is 0, y will be -3.
When the value of x is -1, y will be -2.
When the value of x is -2, y will be -1.
When the value of x is -3, y will be 0.
The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).
Learn more about the domain and range of the function:
brainly.com/question/2264373
#SPJ1
what is 190 divided by 2/3
After divide, the solution of the expression is, 285
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
190 divided by 2/3.
Now, We can simplify as;
⇒ 190 ÷ 2/3
⇒ 190 × 3/2
⇒ 95 × 3
⇒ 285
Thus, The solution of the expression is, 285
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ5
The legs of a 90-45-45 triangle are 3 and 7. What is the hypotenuse?
Answer:
The hypotenuse is [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
Taking the square root of each side
[tex]\sqrt{58} = \sqrt{c^2}[/tex]
[tex]\sqrt{58} =c[/tex]
Please help! Please help with all sections
The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
What is an independent variable?An independent variable simply means the variable that's changed to test the effect on the dependent variable.
Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.
This is because the number of hours is being used to predict cumulative grade point average.
Learn more about variables on:
brainly.com/question/25223322
#SPJ1
