Both (4, 1) and (5, 2) is the solution to the given equation. Therefore, option C is the correct answer.
The given equation is y+1=3(x-4).
A) The given coordinate point is (4, -1).
Substitute (x, y)=(4, -1) in y+1=3(x-4), we get
-1+1=3(4-4)
0=0
So, (4, -1) is the solution to the given equation.
B) The given coordinate point is (5, 2).
Substitute (x, y)=(5, 2) in y+1=3(x-4), we get
2+1=3(5-4)
3=3
So, (5, 2) is the solution to the given equation.
C) Here, both (4, 1) and (5, 2) is the solution to the given equation.
Therefore, option C is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help
Can you post a picture?
It would make it so much easier.
Does any one know the answer to this thank you
Answer:
The First choice
Step-by-step explanation:
Find the area of the shaded region. Use the pin button on the calculator. Round to the nearest whole number. 14 70°
Answer:
The area is approximately [tex]588cm^2[/tex]
Step-by-step explanation:
Given
See attachment for figure
Required
The area of the shaded region
The shaded region is as follows:
A major segmentA triangleFirst, calculate the area of the major segment using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
Where
[tex]r = 14[/tex]
[tex]\theta = 360 - 70 =290[/tex]
So, we have:
[tex]A_1 = \frac{290}{360} * 3.14 * 14^2[/tex]
[tex]A_1 = 495.7711[/tex]
Next, the area of the triangle using:
[tex]Area = \frac{1}{2}ab \sin C[/tex]
Where
[tex]a=b=r = 14[/tex]
[tex]C = 70^\circ[/tex]
So, we have:
[tex]A_2 = \frac{1}{2} * 14 * 14 * sin(70)[/tex]
[tex]A_2 = 92.0899[/tex]
So, the area of the shaded region is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 495.7711 + 92.0899[/tex]
[tex]Area = 587.8610[/tex]
[tex]Area \approx 588[/tex]
The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks
The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. find the count of the bacteria at the end of 22 hours.
DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST
Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?
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Answer:
740%
Step-by-step explanation:
Which of the following calculations would evaluate to 12?
a. (3 * 6) + 2 /2
b. (3 * 6 + 2) /2
c. 3 * ((6 + 2) /2)
d. 3 * 6 + 2 /2
Answer:
3 × ((6 + 2) /2) evaluates to 12
Step-by-step explanation:
Hey!
================================================================
PEMDAS-
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
------------------------------------------------------------------------------------------------------------
a. (3 × 6) + 2 /2
⇒ 18 + 2/2
⇒ 18 + 1
⇒ 19
------------------------------------------------------------------------------------------------------------
b. (3 × 6 + 2) /2
⇒ (18 + 2) / 2
⇒ 20/2
⇒ 10
------------------------------------------------------------------------------------------------------------
c. 3 × ((6 + 2) /2)
⇒ 3 × (8/2)
⇒ 3 × 4
⇒ 12
------------------------------------------------------------------------------------------------------------
d. 3 × 6 + 2 /2
⇒ 18 + 2/2
⇒ 18 + 1
⇒ 19
--------------------------------------------------------------------------------------------------------------
3 × ((6 + 2) /2) evaluates to 12
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
PLEASE HELP!! This is due today!
Answer:
$20.4
Step-by-step explanation:
20% of 17= 3.4
Add it to the initial $17 and you get $20.4
Answer: $20.40
Step-by-step explanation:
Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.
17 * 120%
= 17 * 1.2
= 20.4
The total amount of money you spent at the salon and barbershop is $20.40
Your answer is correct :)
Find the radian measure of an angle of -340
Answer:
-1.889 rad
Step-by-step explanation:
180 degrees = [tex]\pi[/tex]
-340 x [tex]\frac{\pi }{180}[/tex]
-340[tex]\pi[/tex]/180
-34[tex]\pi[/tex]/18
-1.889 rad
(f+g)(2)=
(f-g)(2)=
(fg)(2)=
Answer:
(f + g)(2) = 16
(f - g)(2) = 0
(fg)(2) = 64
Step-by-step explanation:
f(2) = 8 g(2) = 8
(f + g)(2) = f(2) + g(2) = 8 + 8 = 16
(f - g)(2) = f(2) - g(2) = 8 - 8 = 0
(fg)(2) = f(2)g(2) = 8(8) = 64
Please help!! I am so confused on how to do this.
Answer:
its 62!
p-by-step explanation:
Answer:
62.
Step-by-step explanation:
A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62
What is the image of (-1, 7) after a reflection over the line y = x?
Answer:
(7, - 1 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
(- 1, 7 ) → (7, - 1 )
The chess club has 25% more males and females. If there were 20 males, how many females are there in the club.
How many less were the females?
Number of Females =
Thank You!!!!
Answer:
number of females =16
Step-by-step explanation:
100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4
HELP!!! answer quickly pls
Does anybody know both of these answere
Answer: I do not know
Answer:
A decrease by 14 percent
Step-by-step explanation:
50 - 43 is 7
14 percent of 50 is 7
6n-18n-18=6 slove by factoring
Answer:n=−2
Step-by-step explanation:
I need help with math.
Step-by-step explanation:
Circumference of a circle= 2πr
where r=6
and π=22/7
C=2πr
=2×22/7×6
=44/7×6
=264/7
=37.71cm
If Lucy instead invested her $20,000 in an account with 5% simple interest,
how much would she end up with after 10 years?
Answer:
The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".
Step-by-step explanation:
The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
Yield per share = 7.68% (Approx.)
Step-by-step explanation:
Given:
Dividend paid = $4.15
Price per dividend = $54
Find:
Yield per share
Computation:
Yield per share = [Dividend paid / Price per dividend]100
Yield per share = [4.15 / 54]100
Yield per share = [0.0768]100
Yield per share = 7.68% (Approx.)
at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost
Answer:
21 packs of gatorade would cost $36.88.
Step-by-step explanation:
Mathematically:
8.78 / 5 = 1.756
1.756 * 21 = 36.876 ~= $36.88
What is the volume of the pyramid in
cubic centimeters?
Answer:
3328 cubic centimeters
Step-by-step explanation:
volume of pyramid equation:
V=(lwh)/3
V = (12·26·32) / 3
V =3328
Answer:
The answer is
[tex]9984 cm {}^{3} [/tex]
Step-by-step explanation:
The way i solved this was by using the formula to volume. I also am doing this but for me it is a bit easier. The simple formula is Width x Length x Height. Since i already have the numbers, it is easier to plug in the numbers
How many solutions would there be for the following system of equations? y = 3x - 5 67 – 2g = 10 A 1 Solution B 2 Solutions c) No solution D Infinitely Many solutions
Answer:
D
Step-by-step explanation:
Given the 2 equations
y = 3x - 5 → (1)
6x - 2y = 10 → (2)
Substitute y = 3x - 5 into (2)
6x - 2(3x - 5) = 10
6x - 6x + 10 = 10 ( subtract 10 from both sides )
6x - 6x = 0 , that is
0 = 0 ← True
This indicates the system has infinitely many solutions → D
A cylinder has a radius of 15 feet. Its volume is 5,652 cubic feet. What is the height of the cylinder?
Answer:
8
Step-by-step explanation:
I just put it in the calculator thint
can anyone guess what game i was playing by the looks of it
Answer:
A VR car game and an iphone
Step-by-step explanation:
:)
what is the distance between -2 1/2, -5 3/4
Answer:
Step-by-step explanation:
it's kinda confusing b/c of the minus signs.. huh... but -5 is less than -2 sooo
start with
-2 1/2 - (-5 3/4 )
=5 3/4 - 2 1/2
=5 3/4 - 2 2/4
=23/4 - 10/4
=13/4
there you go... :)
if you want it back in proper fractions
3 1/4
Need help with this question thank you!
Answer:
Step-by-step explanation:
(5,3) should be your slope. Start from the bottom of the line and go up. Use the X axis slope 1st because of the x1 y1 coordinates.
Answer:
(5,-1)
(-4,0)
Step-by-step explanation:
5 is in the X axis
-1 is in the Y axis
-4 is in the Y axis
0 is in the X axis
What’s 1/5 divided by 1/12?
LAN tosses a bone up In the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented by the function h(t) = -16t^2 + 20t. What is Spots average rate of ascent, in feet per second, from the time she jumps into the air to the Time she catches the bone at t = 1/2 second?
Answer:
The rate of change is 12ft/s
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 20t[/tex]
Required
Rate of change from when she jumps till 1/2s
The time she jumps is represented as: t = 0
So, calculate h(0)
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(0) = -16 * 0^2 + 20 * 0 = 0[/tex]
At t = 1/2
[tex]h(t) = -16t^2 + 20t[/tex]
[tex]h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6[/tex]
Rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
Where
[tex](a,b) = (0,1/2)[/tex]
So, we have:
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]
[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]
[tex]Rate = \frac{6}{1/2}[/tex]
[tex]Rate =12[/tex]
The rate of change is 12ft/s
A car drove 5 miles in 30 minutes. How far will the car go in 1 hour?
Answer: 10 miles
Step-by-step explanation:
Practically, just look at it. 30 minutes = 5 miles, 60 minutes = 10 miles
Mathmatically, find the constant of proportionality.
30 minutes divided by 5 miles = 6 minutes per 1 mile. 60 minutes = 10 miles
Explain the relationship between evolution, natural selection and mutations.
You must write out a well thought out and cohesive explanation. Use the CER model for this answer.
Answer:
Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.
Answer:
Darwin's theory of evolution
Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.
Natural selection
Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Natural selection acting on mice population over time.
Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.
If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.
The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.
Artificial selection
There are other types of selection, in addition to natural selection, that are out there in the world.
Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).
Common mistakes and misconceptions
Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.
Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.
Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.
Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.
Step-by-step explanation: