n(x) = -3x + 7
n(0) = -3(0) + 7
n(0) = 0 + 7
n(0) = 7
A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point
5'6" inches tall and standing near the tower, find the length of her shadow.
Answer:
2.03 ft
Step-by-step explanation:
132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03
PLZ HELP
how long will it take 6 workers to complete a task, given that 4 workers can complete the same task in 12 days?
Answer:
I think 14 days
Step-by-step explanation:
If 4 workers can do the task in 12 days then I should be able to complete the task in 4 time's 12 days. 6 workers should be able to complete the task in 4 times 12 divided 6.
Carlos completed x3 squats as part of his football workout. if x=5, how many squats did he complete?
3x
We need to substitute x with 5 because the question is asking how many squats Carlos has completed if he completed 5.
3 x 5 = 15
Therefore, Carlos completed 15 squats as part of his football workout.
By the way, this question is very simple and basic. I recommend reviewing Algebra for your benefit/
Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents.
Answer:
?
Step-by-step explanation:
There is no photo...
Write and solve an equation to find the number of miles you must drive to have the same cost for each of the car rentals. Let m represent the number of miles. $20+.50 per mile and $30+.25 permile
Answer:
equation: 20+0.50x=30+0.25x
answer: 40 miles
Step-by-step explanation:
i'm a math genius
what is 9,344 divided by 29
Answer:
322.2069
Step-by-step explanation:
s0 pretty much 322
211 is 500% of what number
Answer: 42.2
Step-by-step explanation:
500/100 = 5
211/5 = 42.2
Answer:
It is 42.2!
Step-by-step explanation:
You divide 211 by 5 and get 42.2
So, 211 is 500% of 42.2! :D
Have a great day!
There are 60 seats on a train. 6 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
10%
Step-by-step explanation:
Set up a proportion: [tex]\frac{6}{60} = \frac{x}{100}[/tex] Cross multiply, then divide: 6 × 100 = 600, 600 ÷ 60 = 1010/100 = 10%I hope this helps!
Measurement A equals 6X - 35°
Answer:
............the answer is 97
DOES ANYONE KNOW HOW TO FIND WHAT SLOPE REPRESENTS??? PLEASE HELP ME
Answer:
slope intercept form.
Step-by-step explanation:
heres the slope intercept form: y=mx+b.
this equation is what you will use to plot lines on graphs, points etc.
the letter b represents the y-intercept, where the line crosses a number on the y intercept on the graph. for example, an initial payment of 30 dollars.
the mx represents slope, or rate of change. for example, paying 5 dollars an hour.
you wouldn't plug a number to the x, but instead the m, because you'd multiply the m with the x.
Based on your question, I think you are asking what slope is. Slope is the rate of change.
Hope this helps!
On the playground one for him of the students are on the jungle gym and 1/3 of the students are playing kickball what part of all the students on the playground is on the jungle gym or playing kickball use the tiles to complete the fraction strip model to show how you found your answer to fractions may be used more than once or not at all
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square centimeters
Answer:
The base and height of the solid is 5.5cm
Step-by-step explanation:
Given
[tex]Surface\ Area = 181.5cm^2[/tex]
Required
Determine the dimensions that maximizes the volume
Let the base dimension be x and the height be h
The volume is calculated as:
[tex]Volume =x^2 * h[/tex]
[tex]Volume =x^2h[/tex]
181.5 =x^2h
The surface area (S) is calculated as this:
[tex]S = 2(x^2 + xh + xh)[/tex]
[tex]S = 2(x^2 + 2xh)[/tex]
[tex]S = 2x^2 + 4xh[/tex]
Substitute 181.5 for S
[tex]181.5 = 2x^2 + 4xh[/tex]
Make h the subject:
[tex]4xh = 181.5 - 2x^2[/tex]
[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]
Substitute [tex]h = \frac{181.5 - 2x^2}{4x}[/tex] in [tex]Volume =x^2h[/tex]
[tex]V = x^2(\frac{181.5 - 2x^2}{4x})[/tex]
[tex]V = x(\frac{181.5 - 2x^2}{4})[/tex]
[tex]V = \frac{1}{4}(x)(181.5 - 2x^2)[/tex]
[tex]V = \frac{181.5x}{4} - \frac{2x^3}{4}[/tex]
[tex]V = \frac{181.5x}{4} - \frac{x^3}{2}[/tex]
To get the maximum, we differentiate V with respect to t and set the differentiation to 0
[tex]dV = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]
Set to 0
[tex]0 = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]
[tex]\frac{3x^2}{2} = \frac{181.5}{4}[/tex]
Multiply through by 4
[tex]4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4[/tex]
[tex]2*3x^2 = 181.5[/tex]
[tex]6x^2 = 181.5[/tex]
[tex]x^2 = \frac{181.5}{6}[/tex]
[tex]x^2 = 30.25[/tex]
[tex]x = \sqrt{30.25[/tex]
[tex]x = 5.5[/tex]
Recall that:
[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]
[tex]h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}[/tex]
[tex]h = \frac{181.5 - 60.5}{22}[/tex]
[tex]h = \frac{121}{22}[/tex]
[tex]h = 5.5[/tex]
So, we have:
[tex]h = 5.5[/tex]
[tex]x = 5.5[/tex]
Hence, the base and height of the solid is 5.5cm
which values of x are solutions to the eqaution below? 4x^2-30=34
The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first
Answer:
P.7500.00
Step-by-step explanation:
We are told that:
The ratio of Val's savings to Dan is 2:3 at first.
Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.
Let's say the total amount of savings they had at first was x.
Thus;
Val had: 2x/5
Dan had: 3x/5
Now, Dan spent P3000.00.
So amount Dan has left = (3x/5) - 3000
We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings
Thus; 2x/5 = (4/3)((3x/5) - 3000)
2x/5 = 12x/15 - 4000
Multiply through by 15 to get;
6x = 12x - (3000 × 15)
6x = 12x - 45000
Rearranging, we have;
12x - 6x = 45000
6x = 45000
x = 45000/6
x = P.7500
Answer please! Find the answer to both questions
Answer:
APtₙ = (n-2)k² + (2n - 3)k + nStep-by-step explanation:
Given sequence:
-k² - k + 1, k + 2, k² + 3k + 3, 2k² + 5k + 4, ...We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.
Let's find the difference: to determine if it is a AP:
k + 2 - (-k² - k + 1) = k + 2 + k² + k -1 = k² + 2k + 1k² + 3k + 3 - (k + 2) = k² + 3k + 3 - k - 2 = k² + 2k + 12k² + 5k + 4 - (k² + 3k + 3) = 2k² + 5k + 4 - k² - 3k - 3 = k² + 2k + 1As we see the difference is common and it confirms the sequence is AP.
First term is
a₁= -k² - k + 1Common difference is
d = k² + 2k + 1nth term is:
tₙ = a₁ + (n-1)dtₙ = -k² - k + 1 + (n-1)(k² + 2k + 1) =-k² - k + 1 + (n-1)k² + (n-1)*2k + n-1 =(n-2)k² + (2n - 3)k + nANSWER THIS CORRECTLT SENDING PAYPAL WHEN YOU ANSWER INCLUDE YOUR PAYPAL IN THE ANSWER
Answer:
You will need Brainly Plus™ to view this answer!
Step-by-step explanation:
Answer:
I think its D. Not sure though.
Step-by-step explanation:
Sorry but if I get it right its okay. You keep ur money :)
Help please!!!! I’ll give brainilest
Given a Segment AB find the distance; B = 30 and A = 10
Answer:
use formula of distance ;
Step-by-step explanation:
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
so d is √((x_2-x_1)²+(y_2-y_1)²)
to find the distance between any two points.
taking A as x coordinate and B as y coordinate ie
A= [10,0]; B= [0,30]
[10 is x1 ,0 is y1 ]; [0is x2 and 30 is y2]
putting values in distance formula
√(0-10)²+(30-0)²
= √( -10 )²+(30)²
=[tex]\sqrt[/tex] 100+900
=√1000
= 31.622
the distance between ab is 31.62 or√1000
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
What is the slope of the line?
У
1
X Х
Answer:151500
Step-by-step explanation:the is the answer
Select the expressions that are equivalent to 8(6m).
[tex]\textsf{Hey there!}[/tex]
[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]
[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]
[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
The distance a spring will stretch varies directly how much weight is attached to the spring if a spring stretches 6 inches with 80 pounds attached how far will it stretch with 55 pounds attached? Round to the nearest 10th of an inch
Answer:
The spring will stretch 4.1 inches
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
Let's call:
y = distance a spring stretches
x = weight attached to the spring
We know when x=80 pounds, y=6 inches, thus:
6 = 80k
Solve for k:
[tex]k=\frac{6}{80}=\frac{3}{40}[/tex]
The equation is now:
[tex]\displaystyle y = \frac{3}{40}x[/tex]
When x=55 pounds are attached:
[tex]\displaystyle y = \frac{3}{40}\cdot 55[/tex]
Calculating:
y = 4.1 inches
The spring will stretch 4.1 inches
We could use all the help we can get. I can't find the Khan academy videos associated with my work and I'm struggling. any help is appreciatled
Answer:
#7.
The domain is {-3,0,4}
the range is {-5,0,1,7}
not a function
#8
D={3,6,12,18}
R={5,7,9,10}
not a function
Step-by-step explanation:
First, 7.
the domain is the all of the x values, in numerical order, listed once, even if it repeats.
D={-3,0,4} (notice how -3 is listed twice; despite that, we only list it once)
the range is all of the y values, in numerical order, listed once, even if the numbers repeat
R={-5,0,1,7}
A function can have the range (y values) repeat, however, the domain (x values) cannot repeat.
Therefore, this is not a function, since -3 is listed twice.
For 8.
The domain, can be listed as
D={3,6,12,18}
And the range as
R={5,7,9,10}
Notice how it says that if 6 is the input (x), the output (y) can be 5 or 10. Since we said the domain CANNOT repeat, this isn't a function.
Hope this helps!
negative 4 divided by 3 as a fraction.
Answer:
-4/3
Step-by-step explanation:
Because 3 is a prime number, the answer can't be reduced furthermore making your answer -4/3.
Answer:
The answer is -1.333
Step-by-step explanation:
As a fraction it is 1 333
-----
1000
(2^2)^4+3^3*3^3-43+85^2/85^2+23+445+54=?
Answer:
(2^2)^4+3^3*3^3-43+85^2/85^2+23+445+54= the answer is 1465
Ms. MacDonald raises rabbits. she starts with five rabbits after a few months she counts five times as many rabbits
Answer: 25
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY!!
Answer:
30
Step-by-step explanation:
Using the pythagorean theorem a^2+b^2=c^2
Answer:
30
78^2 = 72^2 + x^2 pythagoras theorem
x^2 = 900
x= 30
550 is 5% of what number?
Which statements are correct? Check all that apply.
Answer:
11000
Step-by-step explanation:
if we substitute the equation with 11000 550 is 5% of 11000
Andrew had $120. He gave one-third of that amount to charity. How much money did he give to charity? a. 40 c. 60 b. 90 d. 80 Please select the best answer from the choices provided A B C D
What type of angles are <1 and <2 ?
I’m not sure if linear or complementary are the answer Bc Ik it’s not verticals
Answer:
it is linear pair
Step-by-step explanation:
it is not complementary because it doesn't add up to a sum of 90°. it is not vertical angles because that would mean they have the same degree. it's linear because they add up to 180°.