Answer:
y=mx+b. slopes.
Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.
Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.
You invested $5000 for 20 years at 7.25%. How much interest did you earn?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years\dotfill &20 \end{cases} \\\\\\ I = (5000)(0.0725)(20)\implies I=7250[/tex]
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Answer:
Step-by-step explanation:
Find the missing side length of the right triangle below 6 inches 12 inches
If Mike walks to school and rides his bicycle back at home it takes him 90 minutes. If he rides his bicycle both ways it takes him 30 minutes. How long would it take the trip to school and back walking? Assume he walks at a constant speed and also rides the bicycle at a constant speed.
Answer:
2 hours 30 minutes
Step-by-step explanation:
Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.
90min-15min = 75min (one way, walking)
2*75min = 150min = 2h 30min
Mike's will walk to school and back home 2h 30min
For some particular website, the password must start
with the letter X. Then there must be 4 more charters, and each of those characters may be a
numeric digit or a letter of the alphabet. How many different passwords are possible?
Answer:
Step-by-step explanation:
I take it you are not allowed to mix cases. There are 26 lower case letters (a b c d e f...) to the alphabet and 0 to 9 (which is 1 of 10 choices). The total number of starting choices is
x 36 * 35*34 * 33 = 1413720 possible passwords.
Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]
Is this adjacent, vertical, linear, or complimentary?
Answer:
the adjacent is compimentary
Step-by-step explanation:
because I passed
Which relation represents the pattern in the table of values?
y = 3x - 2
y = 3x + 2
y = 2x + 3
y = 2x - 3
Answer:
y = 3x + 2
Step-by-step explanation:
The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.
(2, 8)
y = 3x - 2
8 = 3(2) - 2
8 = 6 - 2
8 = 4
This statement is false
(2, 8)
y = 3x + 2
8 = 3(2) + 2
8 = 6 + 2
8 = 8
This statement is true
(2, 8)
y = 2x - 3
8 = 2(2) - 3
8 = 4 - 3
8 = 1
This statement is false
(2, 8)
y = 2x + 3
8 = 2(2) + 3
8 = 4 + 3
8 = 7
Therefore, b is the correct answer.
Hope this helps!
The relation that represents the pattern in the table of values is given as; y = 3x + 2
How to find derive linear equation from a table?Let us first find the slope of the values from;
m = (y₂ - y₁)/(x₂ - x₁)
m = (8 - 5)/(2 - 1)
m = 3
Thus, the y-intercept is;
5 = 3(1) + c
c = 2
Thus, equation is;
y = 3x + 2
Read more about Linear Equation at; https://brainly.com/question/16834757
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is 5/74 rational or irrational?
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
(d) (1 + cos a) (1 - cos a) /(1 + sin a) (1 - sin a)= tan2 a
[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]
[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]
[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]
[tex] {tan}^{2} (a)[/tex]
What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder
Help picture below problem 14
Answer:
value of missing angle is..57°
Step-by-step explanation:
mark me brainliest
54° and 69°
to find:the missing angle of the triangle.
solution:let's consider the missing angle as n.
sum of interior angle of triangle= 180°
n+54°+69°= 180° (adding up to sum of interior angle of triangle)
n+123°= 180°
n= 180°-123°
n= 57°
Simple help me please and thank you !
Answer:
y=mx
Step-by-step explanation:
I actually dont know if this is wrong I am terribly sorry I just went off of my notes.
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5 hours an 30 minutes
308 miles
D= s x t
= 56 x 5.5
= 308 miles
30 minutes is half an hour (0.5 or 1/2)
Hope this helps!
What is the median mean mode and range of 1,3,5,8,10?
Answer:
Below!
Step-by-step explanation:
Given data: 1, 3, 5, 8, 10
Determining the median of the data:
The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.
⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3Determining the mean of the data:
The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.
⇒ Mean = (27)/5⇒ Mean = 5.4Determining the mode of the data:
The mode of the data is the number that has repeated the most.
⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated onceSince all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.
Determining the range of the data:
The range of the data is the difference of the largest and smallest number (As said above).
⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9Answer:
Median: 5
Mean: 5.4
Mode: 1, 3, 5, 8, 10
Range: 9
Step-by-step explanation:
Median: the middle value.
Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).
Mode: the number that is most frequent.
Range: the difference between the biggest and smallest values.
First, make sure your data set is in numerical order: 1, 3, 5, 8, 10
Median: 5
1, 3, 5, 8, 10
Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27
27/5 = 5.4
Mode: 1, 3, 5, 8, 10
1, 3, 5, 8, 10
All of them, as they all appear once.
Range: 9
10 - 1 = 9
Hope this helps!
Which graph shows the line that best fits the data points given?
I need it ASAP
Please and Thank You! :)
Answer:
c
Step-by-step explanation:
the line goes thru most of the points and it's in the same direction also bc i had that same question a couple days ago
•** Plss help me **•
Answer:
30
Step-by-step explanation:
You can use the triangle area theorem-
15x4(/2)=30
Steve drew two circles, one with a radius of 10.0 cm and another
with a diameter of 10.0 cm. Which circle is which
Answer:
Circle 1 = diameter of 10 cm
Circle 2 = radius of 10 cm
Step-by-step explanation:
The radius is half the diameter.
If both the radius and the diameter are the same length, then the circle with the radius of 10 is larger because 10 times 2 is a 20 cm diameter.
The larger circle is circle #2. If we use the logic from above, the larger circle, #2, has a radius of 10 cm. This leaves us with circle #1 having a diameter of 10 cm.
Circle 1 has a diameter of 10
Circle 2 has a radius of 10
Step-by-step explanation:Diameter and Radius
The diameter is the distance from one point on a circle to the opposite side. Radius is the distance from the center of a circle to a point on the circle. This means that the diameter is twice the size of the radius.
Finding Diameter
One way to find out which circle is which is to find the diameter of both. We know that one of the circles had a diameter of 10. The circle that has a radius of 10 must have a diameter of 20 because 10*2=20. Since the circle with a radius of 10 has a diameter of 20, it must be the larger circle, Circle 2.
Reading the Graph
Additionally, you can read the figure given to you. The radius is from the center of a circle to the outside. The line drawn is 10 meters and goes from the center of circle 2 to the outside of circle 2. Thus, this circle must have a radius of 10.
Emiyjah wants to buy a new smartphone that costs $495. She has already saved $75.
6A) Write an inequality that shows the amount of money, m, that Emiyjah still needs to save before she can buy the smartphone.
Make sure you include the 495, the 75, the m, and an inequality symbol NOT an equal sign!
Answer:
m + 75 > 495
Step-by-step explanation:
After saving an additional amount m, Emiyjah will have a total savings of ...
m + 75
She needs to have that amount be greater than the cost of the smartphone, so she requires ...
m +75 > 495
__
Additional comment
The solution to this inequality is m > 420.
can someone please give me the right answer and please help me asap
Answer:
congruent
Step-by-step explanation:
if r_1=r_2 then, they should be the same... -congruent
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 ft per sec. The height s of the ball in feet is
given by the equation s = -2.7t^2 + 40t + 6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b.
a. After how many seconds is the ball 14 ft above the moon's surface?
After ____ seconds the ball will be 14 ft above the moon's surface.
(Round to the nearest hundredth as needed. Use a comma to separate answers as needed.)
Answer: 0.19s and 14.6s
Step-by-step explanation:
The distance of the ball at any time is given by the function s(t). For now, you can ignore all the details about the height of the man and the intial velocity of the ball. We only care about what time 't' will the ball be 14 feet off the ground. In math terms, they are asking when:
[tex]s(t)=14[/tex]
Where:
[tex]s(t)=-2.7t^2+40t+6.5=14[/tex]
Subtract 14 on both sides:
[tex]s(t)=-2.7t^2+40t-7.5=0[/tex]
Use the quadratic formula to solve for the variable 't'. This will give the possible time values where the ball will be 14 feet off the ground:
[tex]t=-b+\sqrt{b^2-4ac} /2a[/tex]
[tex]t=-b-\sqrt{b^2-4ac} /2a[/tex]
[tex]a=-2.7[/tex]
[tex]b=40[/tex]
[tex]c=-7.5[/tex]
Therefore:
[tex]t=(-40)+\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=0.19s[/tex]
[tex]t=-40-\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=14.6s[/tex]
This is saying the ball almost immediately hits 14 feet given the intial velocity, then it reaches its peak and falls back down to 14 feet again, where it will eventually hit the ground again
Fill in the table using this function rule. Y=-5x+1
Answer:
X ∣ Y
-5 ∣ 26
-4 ∣ 21
-3 ∣ 16
-2 ∣ 11
-1 ∣ 6
0 ∣ 1
1 ∣ -4
2 ∣ -9
3 ∣ -14
4 ∣ -19
5 ∣ -24
Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is____
A.40
B.30
C.20
D.10
olivia is walking to raise money for the childrens hospital. people can choose to sponser her at two diffrent levels. the first plan pays 10 dollars up front and 50 cents per mile. the second plan pays 4 dollars then 2 dollars per mile. for how many miles will the two plans donate the same amount?
Using linear functions, it is found that the two plans will donate the same amount for 4 miles.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the functions for the amount donated with n miles are given by:
f1(n) = 10 + 0.5n.f2(n) = 4 + 2n.They will donate the same amount for n miles as such:
f1(n) = f2(n).
10 + 0.5n = 4 + 2n.
1.5n = 6
n = 6/1.5
n = 4.
More can be learned about linear functions at https://brainly.com/question/24808124
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How much would it cost to tile a room that is 279 square feet If each 6 inch tile cost $0.65?
Answer:
$362.70
Step-by-step explanation:
IM STUCK CAN SOMEBODY SOLVE EQUATION
PLEASE HELP PLEASE PLEASE HELP
Answer:
False
Step-by-step explanation: Matter All was take up place
1. When you go to a party or other gathering you shake hands with many people. The following is a formula that will predict how many hand shakes take place if every person shakes hands with every other person only once.
s = n(n - 1)/ 2
where S is the total number of hand shakes and n is the total number of people at the party.
(a) Express this formula in words.
(b) How many hand shakes will occur if there are 12 people present?
Answer:
s = 66
Step-by-step explanation:
S = number of shakes
N = number of people
(N-1) = takes yourself out of the equation
÷ 2 = shaking hands with everyother person
so when 12 people present:
s = 12(12-1) /2
s = 12(11) /2
s = 132 /2
s = 66
Answer:
This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.
It costs $5.25 to rent bowling shoes. Each game costs $3.00. You have $26.25. How many games can you bowl?
First lets write an equation to help us solve this.
26.25=3x+5.25
x=7
26.25 - 5.25 = 21.
21/3 = 7.
Answer:
You can bowl 7 games.
Step-by-step explanation:
To begin, you need shoes.
-$5.25
So, we would do $26.25 minus the amount for shoes $5.25
$26.25-$5.25 = $21
You now have $21 to spend on bowling the games. Since it is $3 each game, we can do the equation $21 = $3x. We can do this becuase you have $21 to spend and each game costs $3. So we can put x for how many games and 3 as the price of each game. Now, we simplify to get x alone. This will be how many games you can bowl.
21 = 3x
Divide by 3 on both sides
7 = x
So, you can bowl 7 games.
What is equivalent to24.02
Answer:
Fraction 24 2/100 which equals 24 1/50 OR in decimal form 24.020
Step-by-step explanation:
Hope this helps! :)
