Answer:
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Step-by-step explanation:
He price of a computer component at the QRCC bookstore is decreasing at a rate of 2.25% per year. Decide whether this decrease is linear or exponential.
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
8c^2+7c how do i solve this
Answer: look at the picture
Step-by-step explanation: Hope this help :D
HELP giving brainlest and extra points!!
Answer:
32x? I'm so sorry if i'm wrong.
Step-by-step explanation:
Match each shape with its corresponding formula for area.
1. the line which divides a figure into two congruent mirror images
rotational symmetry
2. property where a figure can be folded along a line to create two congruent mirror images
line symmetry
3. property where a figure can be rotated less than 360° and still look the same
line of symmetry
Answer:
1- line of symmetry
2- line symmetry
3- rotational symmetry
Step-by-step explanation:
im pretty sure because i just did this unit :]
Evaluate function expression.
who can help ?
Given:
The graph of two function f(x) and g(x).
The expression is:
[tex]-1\cdot f(-8)-4\cdot g(4)[/tex]
To find:
The value of the given expression.
Solution:
From the given graph, it is clear that
[tex]f(-8)=-5[/tex]
[tex]g(4)=3[/tex]
Substitution [tex]f(-8)=-5[/tex] and [tex]g(4)=3[/tex] in the given expression, we get
[tex]-1\cdot (-5)-4\cdot 3[/tex]
[tex]=5-12[/tex]
[tex]=-7[/tex]
Therefore, the value of the given expression is -7.
Help I need this rn like rnnnnnn!!!!
Answer:
g
Step-by-step explanation:
youre welcome
There is a line that includes the point (4, – 10) and has a slope of 8. What is its equation in point-slope form?
Directions: Find the value of x.
Round angle measures to the nearest degree.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right triangle,
Hypotenuse = 15
Perpendicular = 12.5
Now,
[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]
[tex]\sin x^\circ=0.83333[/tex]
[tex]x^\circ=\sin^{-1}0.83333[/tex]
[tex]x^\circ =56.442345^\circ[/tex]
[tex]x\approx 56[/tex]
Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.
Maria plans to double the amount of time she spends walking per day each week.she starts , on week 1 , walking 5 minutes per day. after 7 days , she then walks 10 minutes per day
(a) how many minutes per day will maria be walking on week # 6 , show the calculation that gives your answer
(b) scale the y axis appropriately and graph the first six terms of this sequence .list them all if you haven't already
(c) according to this geometric progression how many minutes per day would maria be walking on week # 10 why is this not a viable answer
Answer:
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Step-by-step explanation:
Week 1 - 5 minutes per day
Week 2 - 10 minutes per day
Week 3 - 20 minutes per day
Week 4 - 40 minutes per day
Week 5 - 80 minutes per day
Week 6 - 160 minutes per day
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
CAN SOMEONE PLEASE HELP ME WRITE A EQUATION FOR THIS SCENARIO, ILL GIVE BRAINLIST
Answer:
day 13
Step-by-step explanation:
the y axis represents the money. ans the x represents the days
so go down to 0 on the y acis and see what number the line matches with 0 on
in this case it matches with 13
Answer:
y = -5x + 65 or f(x) = -5x + 65
Step-by-step explanation:
The graph represents a linear function which means the function can be represented using y = xm + a, where y is the target, x is the domain, m is the slope, and a is the y-intercept.
According to the graph, the y-intercept is $65 which means a = 65
y = xm + 65
Since the x intercept is 13 that means when x = 13, then y = 0, plug those values in and solve for m to get the slope.
0 = 13m + 65
-65 = 13m
-65/13 = m
Which can be simplified to
-5 = m
Therefore the function for the graph is y = -5x + 65
Two different right cones are being considered by a design team to hold one liter (1000
cubic centimeters) of oil. Design A has a height that is double the diameter of the base.
Design B has a height that is triple the diameter of the base. Which design has a smaller
surface area? What percent less is that surface area?
Answer:
The surface area of Design A is smaller than the surface area of Design B.
The area of Design A is 94.65% of the Design B.
Step-by-step explanation:
The area of a right cone is given by the sum of the circle area of the base and the lateral area:
[tex] A = \pi r^{2} + \pi rL [/tex] (1)
Where:
r: is the radius
L: is the slant height
The slant height is related to the height and to the radius by Pitagoras:
[tex] L^{2} = H^{2} + r^{2} [/tex]
[tex] L = \sqrt{H^{2} + r^{2}} [/tex] (2)
By entering equation (2) into (1) we have:
[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]
Now, let's find the area of the two cases.
Design A: height that is double the diameter of the base, H= 2D = 4r
[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]
The volume of the cone is:
[tex]V = \frac{1}{3}\pi r^{2}H[/tex]
We can find "r":
[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]
[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]
The area is:
[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]
Design B: height that is triple the diameter of the base, H = 3D = 6r
The radius is:
[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]
The area is:
[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]
Hence, the surface area of Design A is smaller than the surface area of Design B.
The percent of the surface area of Design A is less than Design B by:
[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]
Therefore, the area of Design A is 94.65% of the Design B.
I hope it helps you!
Complete the table and then graph the function.
y = x + 2 look at photo
how do i find a tutor for this question did they remove the tutors and if you know how to solve his please help...
A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.
• Here's the table .
[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]
Solve the system using elimination. Show all work for full credit.
-3x - 3y = 12
3x + 4y = -11
Help me
Answer:
X=-5, y=1
Step-by-step explanation:
Add 3x+-3x to get 0. You are left with
-3y=12
4y=-11
add together
y=1
substitute1 in either equation to solve for x
-3x-3y=12
-3x-3(1)=12
-3x-3=12
-3x=15
x=-5
CAN SOMEONE PLEASE HELP ME
Answer:
Scalene
Step-by-step explanation:
It is not right, equilateral, or isosceles.
I need help like really bad!
Answer:
The surface area is 644 meters squared
Step-by-step explanation:
:)
Miguel is posting photos on a school website. He has 48 photos. And he is allowed to use 12 pages.He wants to put the same number of photos,P,on eaxh page
Answer:
4
Step-by-step explanation:
48/12 to get how many in each page
Which one is the correct answer?
Answer:
200
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!
Answer:
200 cm^2
Step-by-step explanation:
For a rectangular prism, V = lwh
V = (10 cm)(4 cm)(5 cm) = 200 cm^2
Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Which of the following situations forms a proportional relationship? Select all that apply.
5 DVDs for $9 and 15 DVDs for $27
6 cups of coffee for $8 and 9 cups of coffee for $12.
3 purses for $60 and 5 purses for $90
12 cans of soup for $3 and 30 cans for $7.50.
2 ink cartridges for $25 and 4 ink cartridges for $75.
Answer: 1st,2nd, and 4th one are correct.
Step-by-step explanation:
Which one is correct?
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
Answer:
720cm^2
Step-by-step explanation:
pls dont report
what is (15-3)x(4+3)
Answer:
84
Step-by-step explanation:
Please help for 30 points
What is 100 km/h in mph?
Use 5 miles = 8 km.
Give your answer as a decimal
Answer:
Answer is100*5/8 = 62.5
Answer:
62.5
Step-by-step explanation:
100×5/8=125÷2=62.5
Help on this question please I don’t understand
which of the following differential equations have x^2-4y^2=8 as a solution?
a) dy/dx = 4xy
b) dy/dx = 4x/y
c) y dy/dx = x/4
d) dy/dx = -x/4y
Answer:
B
dy/dx = 4x/y
Sorry if it's wrong!
Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it
completes 10 revolutions on the end of a 0.88 m thread?
Give your answer correct to one decimal place.
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
Pic from the problem
Answer:
53.2
Step-by-step explanation:
Im sorry if im wrong
Find the slope between the following two points.
(-4,0)(5,-8)
Answer:
-8/9.
Step-by-step explanation:
The slope = difference in y-values / corresponding difference in x values
Slope = (-8-0)/(5 - (-4))
= -8/9.
You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered