Answer:
Nathanial will charge $12
Step-by-step explanation:
If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Width = 5x +3
Step-by-step explanation:
15x² - 16x - 15 = 15x² - 25x + 9x - 3 *5
= 5x(3x - 5) + 3(3x - 5)
= (3x - 5)(5x + 3)
Width = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Please help and I please don't answer just for the points I'll report you
Please help math sucks
6.
True or False:
Common logarithms are logarithms with a base of 10.
Answer:
true
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (3, -8)(3,−8)? Put your answer in fully reduced form.
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
Sophia invested $79,000 in an account paying an interest rate of 6.8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $152,800?
Answer:
10
Step-by-step explanation:
The value of the account will reach $152,800 in 10 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.
The formula for calculating the final amount when the interest is compounded continuously is,
A = P e^(r t)
Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.
Given that,
A = $152,800
P = $79,000
r = 6.8% = 6.8/100 = 0.068
We have to calculate t.
152,800 = 79,000 e^(0.068 t)
152,800 / 79000 = e^(0.068 t)
1.934 = e^(0.068 t)
Taking logarithms on both sides,
㏑ 1.934 = ㏑ e^(0.068 t)
We have ㏑(a)ⁿ = n ㏑(a)
0.65968 = 0.068t ㏑ e
0.65968 = 0.068 t × 1
t = 9.7 ≈ 10 years
Hence the amount is compounded to $152,800 in 10 years.
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divide 600 in the ratio 2: 3: 4
Answer:
133.33, 200, 266.66
Step-by-step explanation:
GIven data
This is a ratio problem, and we will use the part to all method to get the solution
The given ratio is
= 2: 3: 4
the total ratio
=2+3+4
=9
Hence the first part is
2/9= x/600
cross multiply
9x= 1200
x= 1200/9
x= 133.33
The second part
3/9=x/600
1/3=x/600
3x=600
x=200
The third part
4/9=x/600
4/9=x/600
9x=600*4
9x=2400
x=2400/9
x=266.66
Therefore the figures are
133.33, 200, 266.66
In the number 15.42, how is the value of the digit "2" different from the value of the digit "2" in the number 12.54?
If f(x) = 2x + 1 then f(3)=
Answer:
f(3)=7
Step-by-step explanation:
just plug in the number
f(3)=2×3+1
=7
Find the area of a triangle with a base of 10 inches and a height of 5 inches
Answer:
area = 25 in^2
Step-by-step explanation:
area = 1/2(10)(5) = 25 in^2
Answer:
The height is 4 inches.For a triangle, we have Area = 1/2 base times height.
With a = area, b = base and h = height,
we have:
A=1/2bh
We are told that A=10 square inches and b=5 inches, so we need to solve (find h ) for:
10=1/2(5)h
We can get rid of the fraction by multiplying by 2 on both sides:
20=5h
Now divide noth sides by 5 (or multiply by 1/5 , to get
20/5=5h/5 so 4=h
The height is 4 inches.
Step-by-step explanation:
Hope it is helpful....
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds per week. Write an equation for total pounds, y, of aluminum cans after x weeks. How many pounds of cans will Rufus have after 6 weeks?
can someone help with this?
Answer:
-√(18)i, √(18)i
Step-by-step explanation:
3x^2+54 = 0
So first, no real solution, but...
x^2+18 = 0
x^2 = -18
==> x = -√(18)i, √(18)i
Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.
Answer:
Correct
Step-by-step explanation:
The given expression is : 4n - 2
Chris says that the expression (4n-2) can be written as 2(2n - 1).
Taking 2 common on the given expression.
(4n-2) = 2(2n-1)
Hence, he has wrote it in a correct way.
7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON
Jessica sold girl scout cokies she sold 26 boxes.How many cases of 12 plus extra boxes does she need.
Answer:
Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Step-by-step explanation:
Number of boxes sold = 26
Cases of 12 plus extra boxes needed
Number of cases of 12 needed :
Number of boxes sold / 12
= 26 /12
= 2 remainder 2
Hence, Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
A business analyst is investigating whether the mean amount of purchases made by customers at an online department store is greater than $100. The analyst obtained a random sample of 56 orders and calculated a sample mean of $102.30 and a sample standard deviation of $5.30.
Which of the following is an appropriate test for the investigation?
Answer:
B
Step-by-step explanation:
I don't know
An appropriate test for the investigation is, One sample t-test for sample mean. So option B is correct
What is a random sample ?The process of selecting a sample of data from a population in order to draw conclusions about the population is known as random sampling. Additionally known as probability sampling. Non-probability sampling, often known as non-random sampling, is this sample's opposite. Simple random sampling, stratified sampling, cluster sampling, and multistage sampling are the main forms of this sampling. Convenience samples are often referred to as non-arbitrary samples in sampling methodologies.
Given that,
Population mean = $100
Sample = n = 56
Sample mean = $102.30
sample standard deviation = $5.30
So, all the data mean, standard deviation is given
therefore, t-test used and one type of sample used as well
Hence, It is one-sample t-test for sample mean
To know more random sample check:
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AOB and COD are two straight lines. Find ZBOD.
help
What is the value of the expression below when w=5w=5? 4w+9 4w+9
Answer:
29
Step-by-step explanation:
substitute 5 where the w goes in the expression.
It should look like 4 • 5 + 9
Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We need to find the value of the expression below when w = 5w = 5.
Using the order of operations ( PEMDAS ),
Then substitute 5 where the w goes in the expression.
4w+9 = 4 • 5 + 9
4w+9 = 20 + 9 = 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
Learn more about simplification;
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Fill in the blank with the correct word(s) to complete the sentence.
A net is a two-dimensional ______ of a three-dimensional figure.
A.
pattern
B.
length
C.
congruent
D.
height
FREE BRAINLEST GIVEAWAY THE FIRST PERSON TO ANSWER FIRST GETS BRAINLEST! :P
Answer:
pattern
Step-by-step explanation:
hope it helps............:)
Write an equation of the line in point slope form
(2, 4) and (3,6)
Answer:
(y – 4) = 2(x – 2)
Step-by-step explanation:
point slope: y – y₁ = m ( x - x₁ ).
slope: m = ∆y / ∆x.
_______________
m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]
= 2
____________________________
(2, 4) → (x₁, y₁).
2 → m.
y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).
Answer:
y-4=2(x-2)
Step-by-step explanation:
y> 3x-2
Graph the solution
Answer:
4 es esa ????k nose
PLEASE help, im trying to bring my grade up for this class.
Answer:
Yes, Nan pays $25 more
Step-by-step explanation:
144 hours /24 hours per day = 6 days exactly
$50 + (5 x $25) = $175
145 hours 24 hours per day = 6 days and one hour (must pay for 7 days)
$50 + (6 x $25) = $200
$200 - $175 = $25 more
Which of the following would be considered a "like radical" for 2/3?
8 star fruit cost $16. How many star fruit can you buy for $8?
Answer:
you can buy 4 star fruit
Step-by-step explanation:
All it is , is subtraction half of 8 is 4 and half of 16 is 8
Please help me
thank you!
Answer:
Is that your answer
Answer:
3
Step-by-step explanation:
1/6 of 18 is 3/18, and 2/3 of 18 is 12/18
So 3/18 + 12/18= 15/18
18-15=3
Hope this helps.
What is an anticodon?
hi hi hi hi hi help help help help
Answer:
rate
Step-by-step explanation:
r(t)=d
r=d/t
r=miles/hour=mph
r=12
Answer: I THINK it’s d
Step-by-step explanation:
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]