Answer:
y=2x+24
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 2 and passes through (-7, 10)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept
As we are already given the slope, we can immediately substitute it in for m
So replace m with 2 in y=mx+b
y=2x + b
Now we need to find b
As the equation passes through the point (-7, 10), we can use its values to help us find the value of b
Substitute -7 as x and 10 as y
10 = 2(-7) + b
Multiply
10 = -14 + b
Add 14 to both sides
24 = b
Substitute 24 as b into the equation
y = 2x + 24
Hope this helps!
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Find the circumference of a circle with diameter,
d
= 2.69m.
Give your answer rounded to 2 DP.
Answer:
C = 8.45 m
Step-by-step explanation:
The equation to find the circumference of a circle is:
[tex]C=2\pi r[/tex]
r = radius
To find the radius, divide the diameter by 2:
r = 2.69 m/2 = 1.345 m
Now, plug the radius into the equation:
[tex]C = 2\pi (1.345)[/tex]
Use a calculator to get the final answer:
C = 8.45 m
Hope this helps!!
Find the unknown angles of triangles.
Please help me...!!!
Let's take this fun problem step-by-step:
Let's first analyze the triangle: ΔBRE
∠B + ∠E + ∠R = 180
45 + 35 + ∠R = 180
∠R = 100 ⇒ ∠BRE = 100 degrees
Now let's analyze ΔAQD
∠A + ∠Q + ∠D = 180
30 + ∠Q + 50 = 180
∠Q = 100 degrees ⇒ ∠AQD = 180 degrees
Now let's consider another fact:
AQC is a straight line⇒ meaning that ∠AQD + ∠RQC = 180 degrees
⇒ ∠RQC = 180 degrees - ∠AQD = 180 - 100 = 80 degrees
CRE is a straight line⇒ meaning that ∠BRE + ∠BRC = 180 degrees
⇔ ∠BRC = 180 degrees - ∠BRE = 180 - 100 = 80 degrees
Now let's consider ΔQRC:
∠BRC + ∠RQC + ∠QCR = 180 degrees
80 + 80 + x = 180
x = 20 degrees
Answer: 20 degrees
Hope that helps!
Imagine a cannonball being launched from a cannon on a very high cliff. What mathematical ideas/concepts are involved? What can be measured?
The mathematical ideas that are involved in the cannonball are quadratic functions and parabolas
What are the mathematical ideas/concepts are involved?When the cannonball is launched, it would follow a parabolic path.
Parabolas are represented by quadratic functions.
Hence, the mathematical ideas/concepts are involved are quadratic functions and parabolas
What can be measured?The quantities that can be measured are:
TimeHeightDistanceRead more about parabolic paths at:
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3) What time will it be 13 hours and 17 minutes before 4:54 a.m.?
Answer:
9:41
Step-by-step explanation:
Let's solve this in the most simplified version.
⇒ 4: 54
⇒ 13 Minutes Before
( 54 - 13)
= 4:41
Subtract 13 from 4
= -9
Eliminate the negative sign.
⇒ 9:00 .
Add the "41" to the time:
⇒ Final result: 9:41
Please I really need help
Answer:
its b i think maybe i might be wrong
Step-by-step explanation:
have a nice day :)
Sam traveled 20 miles in 3 hours.
Sam walked part of the distance at a speed of 4 miles per hour.
Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
note: this question has been asked before but i do not believe it was answered correctly, it was solved using 4 hours instead of 3
Answer:
see below
Step-by-step explanation:
distance / rate = time
x = walking distance 20 -x = biking distance
x / 4 m/hr + (20-x) / 12 m/hr = 3 hours
x/4 + ( 20-x) /12 = 3 multiply both sides of the equation by 12
3x + 20 -x = 36
2x = 16
x = 8 8 miles walking then 12 miles biking
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Answer:
c
Step-by-step explanation:
-3≤7c+4<18
-3-4≤7c+4-4<18-4
-7≤7c<14
divide by 7
-1≤c<2
The composite figure shown is made
from a rectangle and part of a circle. Find the approximate area and
perimeter of the entire figure. Round to the nearest tenth
The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 74.137 ft².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the composite figure will be the sum of the area of the rectangle and the area of the semi-circle, therefore, the area of the composite figure will be,
Area = Area of rectangle + Area of the hemisphere
= (10×6) + [(π/2)×3²]
= 60 + 14.137
= 74.137 ft²
Hence, the area of the composite figure is 74.137 ft².
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Water has a specific heat of 4.184 J/g°C and requires 23,000 J of heat to raise the
temperature 68° C. What is the mass of the water?
Answer:
[tex]m=80.840 kg[/tex]
Step-by-step explanation:
Given Data,
Q=23000 J
c=4.184 J/g °c
Δt= 68 °c
m=?
By using this equation,
Q=mcΔt
[tex]23000=m\times 4.184\times 68\\\\m=\frac{23000}{4.184\times68} \\\\\\m=80.840 kg[/tex]
12
In a neighborhood an of the lots have three or more trees. Which percentage is equivalent to the portion of lots
the neighborhood with three or more trees?
Answer:
30%. Based on the given conditions, formulate: 12/40 Cross out the common factor: 3/10 Multiply a number.
Step-by-step explanation:
Can someone please help me!? I will mark them as the Brainly est
Answer:
Your answer is 5/18
Step by step Explanation:
8/9 × 16/5
When we divide it becomes reverse so,
8/9 × 5/16 = 5/18.
Which missing X-value would make the table a function?
The volume of this cone is 19,292.16 cubic yards. What is the height of this cone?
Answer:
The formula for volume of a cone is area of a circle times height, divided by 3.
Therefore volume is pi times radius squared times height, divided by 3.
V = (3.14)(14)^2 (14)/3
V = (3.14) (196)(14)/3
V = (3.14) (2744)/3
V = 8616.16/3
V = 2872.05333
to the nearest hundredth is 2872.05 cubic yards.
Step-by-step explanation:
Answer:
2872.05
Step-by-step explanation:
It's real simple mainly it's all about dividing
The points (4,10) and (s,0) fall on a line with a slope of 10. What is the value of s?
Answer:
s = 3
Step-by-step explanation:
Solving
10 = 0 - 10 / s - 410 (s - 4) = -10s - 4 = -1s = 3Answer:
-140
Step-by-step explanation:
. The depth of the Atlantic Ocean at a channel buoy off the coast of
Maine can be modeled by y = 5 - 3cos (pi/6t) where y is the water depth
in feet and t is the time in hours. Consider a day in which t=0
represents 12:00 midnight.
a. For that day (in 24 hours), when do the high and low tides occur?
b. What are the respective depths of the ocean at high tides and low
tides?
a)The high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.
b)The respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Modeling the depth of the Atlantic Ocean at a channel buoy off the coast of Maine is;
[tex]\rm y = 5-3 cos (\frac{\pi}{6} t)[/tex]
a) High tide's value of 'y' when the value of y is maximum. value of cosine is minimum.
The minimum value of cosθ = 1.
The standard form to write the cos function is as;
θ=(2n+1)π
Whenever. high tides occur when it equals odd multiples of π. Similarly, at a Value of even multiples of even function, low tides are at their peak.
Hence,the high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.
At high tide;
соsӨ = - 1 (min value)
y= 5-3(-1)
y = 5+3
y=8 ft
At low tide,соsӨ = + 1 (max value)
y =5-3(1)
y= 5-3
y= 2
Hence,the respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.
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Your watch gains 9.5 minutes in 6 h. How much will it gain in 3 days?
Answer:
114 minutes
Step-by-step explanation:
There are 72 hours in 3 days, 72 divided by 6 is 12. Multiply 9.5 by 12, and you get 114
Find the mean 28,18,19,18,17
Answer:
The mean is 20.Step-by-step explanation:
To find:
The mean.Given:
The mean is calculated by dividing all the values in a set by their left-to-right numbers.
To begin, add up all the means numbers.
Solve.
Solutions:
[tex]\Longrightarrow: \sf{28+18+19+18+17=100}[/tex]
Five mean numbers are given.
All you have to do is divide them.
[tex]\Longrightarrow: \sf{100\div5=\boxed{\sf{20}}[/tex]
[tex]\Longrightarrow: \boxed{\sf{20}}[/tex]
Therefore, the mean 28, 18, 19, 18, 17 is 20, which is our answer.I hope this helps, let me know if you have any questions.
Good luck with your assignment!
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Anna and grace a twin baby girls. At birth, and I was 18 inches long and grace was 19 1/2 inches long. Each of them grew 3/4 inch per month for the first five months. Complete the table to show the length of each baby at the end of each of the first five months.
Answer:
(Anna)
month 1: 20 1/4
m2: 20
m3: 20 2/3
m4: 21 1/2
(Grace)
month 1:18 3/4
m2: 19 1/2
m3: 20 1/4
m4: 21
Step-by-step explanation:
you just take the first month plus 3/4 and then take the answer to that plus 3/4 and just do that repeatedly till you reach your needed
hope it's right and helps!!
Isolate the literal equation
Answer:
b. h = 2A/b.
Step-by-step explanation:
A = 1/2 bh
Multiply through by 2:
2A = bh
Divide both sides by b:
h = 2A/b.
HELP ASAP Show what you know: work out the problems below and submit a photo of your work to receive full credit.
The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.
Draw a model that represents the ratio of different colored streamers.
Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}=\dfrac{O}{G}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G
What is ratio?
The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.
A model that represents the ratio of different coloured streamers.
[tex]\dfrac{3}{2}=\dfrac{O}{G}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
3O=2G
Hence the models are [tex]\dfrac{3}{2}=\dfrac{O}{G}[/tex] and 3O=2G
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help pleaseeeeeeeee
Anwar is thinking of a number. He gives three clues about his number: It is an odd number; The number is less than -12; and The absolute value of the number is between 10 and 14. What is Anwar's number?
Answer:
-13
Step-by-step explanation:
it must be either -11 or -13. -13 is less than -12.
A tank with some sand has a mass of 4050 g. Another similar tank with some water has a mass of 2550 g. The mass of the sand is 3 times the mass of the water. What is the mass of the empty tank? Pls help me!
Answer:
=1800g
Step-by-step explanation:
T + S=4050
T + W=2550
let s:w be 3t:t
4050-3t=2550-t
collect like terms
-2t= -1500
-2 -2
t=750g
therefore
T= 2550-750
=1800g
PLEASE HELP ME!!!!!!!
Find the next term of the sequence.
21, 15, 9, 3,...
Answer:
-3
Step-by-step explanation:
So 21 - 6 = 15
15 - 6 = 9
9 - 6 = 3
3 - 6 = -3
Hope it helps :))
Can anyone help with this pleases
Which statements are true based on the Pythagorean identities??
Answer:
2 .3 and 5
Step-by-step explanation:
The function f(x) is shown on the graph.
The graph shows an L-shaped curve, which follows along the x-axis from the left, but is not touching it. It crosses through 0 comma 1 to and then increases upward in quadrant one.
IMAGE BELOW
Which type of function describes f(x)?
Rational
Polynomial
Logarithmic
Exponential
Considering that the graph contains an asymptote and does not cross it, an exponential function is modeled.
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex]
In which:
a is the y-intercept.b is the rate of change.y = c is the asymptote, which is not crossed by the function.Hence, in this problem, an exponential function with asymptote at y = 0 is modeled by the graph.
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Answer: Logarithmic
Step-by-step explanation:
it correct
A three digit number is to be made using the digits 1,3,5,8 how many numbers can be made of all digits must be different
Answer:
24 Numbers can be made that are different!
Step-by-step explanation:
I got 24 numbers
1358 , 1385 , 1835 , 1853 , 1583, 1538
3581 , 3518 , 3851 , 3815 , 3185 , 3158
5381 , 5318 , 5138 , 5183 , 5813 , 5831
8531 , 8513 , 8153 , 8135 , 8351 , 8315
Hope this helps!
What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)
B. (-6,-4)
C. (2,2)
D. (-2,2)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)[/tex]
Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for
rent. How much does Arturo pay for rent?
Answer:
$3062
Step by Step Explanation:
Arturo's rent can also be written as an expression
2t + 50
This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.
So 2(1506) + 50
3012 + 50
3062