Find the side length of the square 16x2 +56x +49
Answer:
(4x+7)(4x+7)
Step-by-step explanation:
Jordan is paying off a car loan. The function that models how much he has left to pay on his loan, P, is P(m)=6000−300m, where m is the number of months since Jordan took out the loan. What was the original amount of the loan?
A.) $18,000
B.) $6,000
C.) $20
D.) $300
Answer: B.) $6,000
Step-by-step explanation:
The equation shows how much Jordan has to pay per month until he is finished paying the loan.
This is a linear equation in the form: y = mx + c
y is the amount left to be paid
m is the change per month which means it is the amount paid per month
x is the independent variable that is changed which means it is the no. of months
c is a constant figure which in this case would be the amount borrowed.
With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.
The original amount of loan must therefore be:
= $6,000
A farming community begins with one resident. Then every year, the number of residents multiplies by 10 Write an expression using an exponent to
represent the number of residents in the community after 5 years
Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
12 km
9 km
What is the length of the hypotenuse?
C =
kilometers
Answer: 13km
Step-by-step explanation:
8g - 5g =24.
(For a test)
Answer:
8g-5g=24.
We move all terms to the left:
8g-5g-(24.)=0
We add all the numbers together, and all the variables
8g-5g-24=0
We add all the numbers together, and all the variables
3g-24=0
We move all terms containing g to the left, all other terms to the right
3g=24
g=24/3
g=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8g-5g=24
8-5=3
3g=24
3g/3=24/3
g=8
Please help! Thank you! :D Giving brainlest
Answer:
H ≤ -2.4
Step-by-step explanation:
dark line pointing left at -24
55:59
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)2 + 4
O g(x) = (x + 9)2 - 4
O g(x) = (x - 4)2 + 9
O g(x) = (x + 4)2 + 9
Answer:
g(x)=(x-4)^2+9
Step-by-step explanation:
The function representing the g(x) is g(x) = (x - 4)² + 9.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given is a function f(x).
f(x) = x²
A horizontal translation makes the function f(x) to f(x ± k), where k is the unit of translation.
And the vertical translation results in f(x) = f(x) ± k.
Here function f(x) = x² has been translated 9 units up.
f(x) → f(x) + 9 = x² + 9
Then it is translated 4 units to the right,
g(x) = (x - 4)² + 9, since the translation is towards right.
Hence the correct answer is g(x) = (x - 4)² + 9.
Learn more about Translations here :
https://brainly.com/question/29198392
#SPJ7
Please help!! worth 20 points !!
Answer:
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = [tex]\frac{22}{7}[/tex]
C = [tex]\frac{22}{7}[/tex] * 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
So you have it right. 15 5/7 in
Step-by-step explanation:
C = πd
All you can do now is substitute what has been given
Diameter = 5
Pi = \frac{22}{7}
7
22
C = \frac{22}{7}
7
22
* 5
Multiply from across
22 * 5 = 110 ( numerator)
7 * 1 = 7 (denominator)
110/7 (improper fraction) = 15.71428571428571 ( as a decimal) = 15 5/7 ( as a mixed number)
Ik its 15 5/7 because 1. the 15 wont change, and 2 5/7 = 0.7142857142857143, which is the same one as above
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Help me with this please
Answer:
D. 118
Step-by-step explanation:
One of them is a right angle and one is 28 degrees, right angles always have 90 degrees so 90 + 28 = 118
Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.
Answer:
Mr Lee gets 9kg
Mrs Scarlett gets 6kg
Step-by-step explanation:
First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.
We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient
15kg/10 = 1.5kg
This means that each person gets 1.5 kg of chocolate.
Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:
6*1.5kg = 9kg
And Mrs Scarlett will get the remaining, that is:
15kg - 9kg = 6kg
Mrs Scarlett will get 6kg of chocolate.
the figure below is made of two triangular prisms. what is the volume of the figure
Answer:
896 cubic inches
Step-by-step explanation:
V (Δ prism) = 1/2 · height · base · length
V (top prism) = 1/2(6)(12)(14)
V (top prism) = 504 in³
V (bottom prism) = 1/2(7)(8)(14)
V (bottom prism) = 392 in³
504 + 392 = 896
Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
Which did you include in your response? Check all that apply.
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).
Answer:
egg
Step-by-step explanation:
eggs are BlUe
Answer:
select all of them bc there all correct
Step-by-step explanation:
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
If a square shaped napkin had a side length of 9 inches what is the area of the Napkin?
Answer:
81
Step-by-step explanation:
its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81
Divide 161 miles in the ratio 6:1
Please help don’t know answer
Answer: y= X+3
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y- intercept
when she got in her car to drive to work,Mia had 11 1/2 gallons of gas in her tank. if she used 1/8 of the gas in her tank to get to work, how much gas does she have left?
what is 3 decreased by n
Answer:
3-n
Step-by-step explanation:
Answer:
3 - n
Step-by-step explanation:
3 decreased by n = 3 subtracted by n
PLEASE HELP if 5 more than 3 times a number is -4, what is the number?
Answer:
x = -3
hope it's helpful ❤❤❤
THANK YOU.
Hey there!
The answer to your question is "n = -3"
First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"
3n
Next, "5 more" represents addition, so "+ 5"
3n + 5
Finally, "is -4" means it is equal to -4, so "= -4"
3n + 5 = -4
Now that we have our equation, we can solve:
3n + 5 = -4
First, we subtract "5" from both sides of the equal sign:
3n = -9
Lastly, we divide both sides by "3".
n = -3
Have a terrificly amazing day!
4/9 + 2/9 simplified
Answer:
2/3
Step-by-step explanation:
Add 4/9 and 2/9 together
6/9
Simplify.
Divide both sides by 3
6 divided by 3
2
9 divided by 3
3
So, the answer is 2/3
Hope this helps :)
Answer: 2/3
Step-by-step explanation:
4/9+2/9= 6/9
THey can be simplified by three so ur answer is
2/3
What percent of a dollar is 0.28
Step-by-step explanation:
Solution for 100 is what percent of 0.28:
Percentage solution with steps: Step 1: We make the assumption that 0.28 is 100% since it is our output value.
Answer:
28%
Step-by-step explanation:
Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.
Answer:
I think is 280km :))))))
Answer:
Andre covered 280km.
Step-by-step explanation:
I would say make a proportion:
?= distance covered
4 - 160
7 - ?
Solve: 7×160÷4=280.
Help plssss! What is the volume of this composite solid?
Answer:
B.
(づ ̄ ³ ̄)づHave A nice day Cute Sir
Answer:
Step-by-step explanation:
160
BRAINLIEST FOR THE CORRECT AWNSER! Algebra 1 What is the solution to the system of equations graphed below?
Answer:
(-2, 3)
Step-by-step explanation:
The solution to a system of equations is the value (or values) of x and y that satisfy both equations. we can find the value of x by setting the right sides of each of our equations equal to each other and solving:
[tex]4x+11=-2x-1\\6x=-12\\x=-2[/tex]
From here, we can simply substitute -2 for x in either of the equations to calculate y. I'll choose the bottom one:
[tex]y=-2(-2)-1\\y=4-1\\y=3[/tex]
So our solution is (-2, 3).
The awnser is A!! Because the graph describes as so.
Help please with this problem!
Answer: B.
Step-by-step explanation:
4x + 8y = 2(4y + 2x)
Answer:
B
Step-by-step explanation:
A. 4 (2x + y)
8x + 4y ( So not this! )
B. 2(4y + 2x)
8y + 4x ( This is right! )
C. 4(2x + 4y)
8x + 16y ( So not this! )
D. 8 (y + 2x)
8y + 16x ( So not this! )
HELP I NEED HELP ASAP
Helpppppppppp. plsssss.Struggling :(
Answer:
68°
Step-by-step explanation:
22°+68°=90° ......
The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches
FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.
Answer:
19.7 m
Step-by-step explanation:
Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.
Hypotenuse is 10.2 m (radius of circle)
The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees
sin 40 degrees=rise /radius=rise/10.2
sin 40=0.6428=rise/10.2
rise=10.2(0.6428)
rise=6.6 m
13.1+6.6=19.7 m
can someone please help me with this question? thankyou!