Answer:
True. 3:4 is the same as 30:40 because they both times 10
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence.
2, 5, 8, 11, ...
Answer:
An equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
Step-by-step explanation:
Given the sequence
2,5,8,11,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
here
a₁ = 2computing the differences of all the adjacent terms
d = 5-2 = 3, d = 8-5=3, d=11-8=3Using the nth term formula
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 2, d = 3
[tex]a_n=2+\left(n-1\right)3[/tex]
[tex]=2+3n-3[/tex]
[tex]=3n-1[/tex]
Thus, an equation for the nth term of the arithmetic sequence.
[tex]a_n=3n-1[/tex]
What is the value of x?
Answer:
45
Step-by-step explanation:
Answer:
value of x=1
Step-by-step explanation:
How many real and imaginary roots are there?
Answer:
5
Step-by-step explanation:
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:I’m pretty sure it’s b (20.8)
Step-by-step explanation:
1. 3, 12, 48,_,_,_
Find the missing terms in each geometric sequence
what method is this?
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
2)
An Airplane is ascending at a speed of 400 km/hr along a line making an angle of 60' with the
ground. How fast is the altitude of the plane changing?
Answer:
The altitude is changing at a speed of 200 √3 km/hr
Step-by-step explanation:
Here, we want to know how far the altitude of the plane is changing
we are told that the airplane makes an angle of 60 degrees with the ground
So therefore , the rate of change of its altitude will be ;
sin 60 = x/ 400
x = 400 sin 60
x = 400 * √3/2
x = 200 √3 km/hr
The altitude is increasing at a rate of 346.61 km/hr.
The diagram below denotes the given scenario.
Then from the diagram we have,
[tex]sin60^{\circ}=\frac{y}{z}\\\frac{\sqrt{3}}{2} =\frac{y}{z}\\ y=\sqrt{3}\\z=2[/tex]
Then,
[tex]sin\theta =\frac{y}{z}\\cos\theta \frac{d\theta}{dt}\\=\frac{z\frac{dy}{dt}-y\frac{dz}{dt}}{z^2} \\\frac{dy}{dt}=\frac{z^2cos\theta\frac{d\theta}{dt+y\frac{dz}{dt}}}{z}\\\frac{dy}{dt} =\frac{2^2(cos60^{\circ})+\sqrt{3}(400)}{2}\\ \frac{dy}{dt}=346.41 km/hr[/tex]
Learn More:https://brainly.com/question/16086052
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.
Answer:
(199+0.32)minus 350
Step-by-step explanation:
199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?
Answer:
B; The length or width of the actual item
Step-by-step explanation:
In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item
By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other
This means that we compare the length of the scale model and the length of the actual item
Then the width of the scale model and the width of the actual item
A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?
Answer: [tex]61.9miles/hr[/tex]
Step-by-step explanation:
given data:
distance travelled by the car = 195 miles
time taken = 3 hours and 15mins
solution
average speed of the car
[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]
Answer:
The average speed is [tex]v=60 miles/h[/tex]
Step-by-step explanation:
The equation of the average speed os given by:
[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)
here:
Δx is just 195 miles
Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)
So we just need to put this into the equation (1)
[tex]v=\frac{195}{3.25}[/tex]
Therefore, the average speed is [tex]v=60 miles/h[/tex]
I hope it helps you!
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answer:
er n4356463
Step-by-step explanation:
I’ll mark as BRANLIEST!!
Please help me!!
40 POINTS!!!
Step-by-step explanation:
Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.
A U B = {1, 3, 5, 7}.
B ∩ C = { }.
A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.
Find the distance between the point A(-4,3) and B(1,6)
Answer:
The distance would be (5,-3)
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)
Answer:
2/7 I Don't know the other one
here you go, hope that helps some
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
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For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
How can we use ratios and proportional relationships to help us in our daily lives?
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.