Answer:
-4n + 49
Step-by-step explanation:
it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.
Answer:
aₙ = -4n + 49Step-by-step explanation:
45, 41, 37, 33, 29, ....
a₁ = 45
a₂ = 45 - 4 = 41
a₃ = 41 - 4 = 37
a₄ = 37 - 4 = 33
a₅ = 33 - 4 = 29
...
It's an arithmetic sequence.
a₁ = 45, d = -4
A general term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
Substitute:
aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49
What is the length of a diagonal of rectangle EFGH?
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]
Hope this helps <:)
Don't forget to put brainliest!
write -5 as a logarithim with a base of 4
Answer:
[tex]log_4(\frac{1}{4^5}) = -5[/tex]
Step-by-step explanation:
[tex]log_b(a) = c[/tex] ↔ [tex]b^c = a[/tex]
You are given [tex]b[/tex] = 4
You re also given [tex]c[/tex] = -5
To find a, use the exponential form:
[tex]b^c = a[/tex]
[tex]= (4)^{-5} = \frac{1}{4^5} = a[/tex]
Then you can convert into a logarithm.
[tex]log_4(\frac{1}{4^5}) = -5[/tex]
Answer:
There are multiple ways of writing this:
[tex]\sf -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)[/tex]
Step-by-step explanation:
Log rule: [tex]\sf log_a(a)=1[/tex]
[tex]\sf \implies log_4(4)=1[/tex]
[tex]\sf \implies -5log_4(4)=-5[/tex]
Log rule: [tex]\sf c \cdot log_ab=log_a(b^c)[/tex]
[tex]\sf \implies -5log_4(4)=log_4(4^{-5})[/tex]
[tex]\sf = log_4\left(\dfrac{1}{4^5}\right)[/tex]
[tex]\sf = log_4\left(\dfrac{1}{1024}\right)[/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
less than
Step-by-step explanation:
Answer:
B) less than
Step-by-step explanation:
We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.
I hope this helps!!
Please mark brainliest!
American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.
Answer:
$143.88
Step-by-step explanation:
Look at image above...
I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.
Complete a Proportion Web for the following situation
A candy-wrapping robot can wrap 434 pieces of candy in 5 minutes. How many pieces of candy can it wrap in and number of minutes
Answer:
It can produce about 86 candy.
Step-by-step explanation:
434 divided by 5 = 86 with a remainder of 0.8
apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?
Answer:
$2,667.59
Step-by-step explanation:
The insurance premium is found by multiplying the payroll amount by the premium rate.
($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59
The monthly workers' compensation insurance premium is $2,667.59.
_____
Additional comment
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Answer:
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Step-by-step explanation:
Hey, need to solve for x
2(x-3)=9x+8
Answer:
x = -2
Step-by-step explanation:
2x-6 = 9x+8
-7x = 14
x = -2
PLEASE RATE!! I hope this helps!!
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces? I will branliest to who ever answers first!
Answer:
He should have got 40
Step-by-step explanation:
680 / 45 = 15.11
45 x 16 = 40
50 POINTS FOR CORRECT ANSWER!
Answer:
[tex]y\geq 2x+3[/tex]
Step-by-step explanation:
the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]
the y-intercept is where the line crosses the y-axis which is simply 3
so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]
but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y-3=2x[/tex]
[tex]\\ \tt\Rrightarrow y=2x+3[/tex]
Put (0,0)
2(0)+3=3>0Hence the inequality is
[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]
please help
The table below shows the number of hours that a
scientist has been observing bacteria in a petri dish
Answer:
In the beginning there were 20 bacterias in the petri dish.
4. Find the volume of the cone.
Answer:
A.
Step-by-step explanation:
πr^2 h/3
Hope this helps!
After eating at the restaurant, Tom, Mary, and
Sara decided to divide the bill evenly. If each
person paid 42 dollars, what was the total of the
bill?
Answer:
$126
Step-by-step explanation:
since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126
Answer:
total bill was $126
Step-by-step explanation:
3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answer:
4 red marbles
Step-by-step explanation:
green marbles = 9r
red marbles = r
9r + r = 40
10r = 40
r = 4 = red marbles
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters
Answer:
Hope this helps you
Step-by-step explanation:
Thank
A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.
The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
What is circumference and area of the circle?Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,
[tex]P=4\times5.5\\P=22\rm\; units[/tex]
The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,
[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]
The area of this circle is,
[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]
Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
Learn more about the circumference and area of the circle here;
https://brainly.com/question/402655
which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6
-3 : 5 = - 0,6
so it will be - 4/5 (= - 0,8)
The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi?
Answer: [tex]56.25\pi[/tex]
Step-by-step explanation:
The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.
Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]
The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]
Now sub in this value for the formula of the area of a circle
[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]
Answer:
56.25[tex]\pi[/tex]
Step-by-step explanation:
circumference=2[tex]\pi r[/tex]
15[tex]\pi[/tex]=2[tex]\pi r[/tex]
r=7.5
Area=[tex]\pi r^{2}[/tex]
=[tex]\pi * 7.5^{2}[/tex]
= 56.25[tex]\pi[/tex]
When moving. it can often be a questionable matter to decide among moving luck companies. u haut currently charges $19.95 per day for a 10' moving truck and $0.59 per mie. imagine that another company you- haul, moves into the market anchoffes the same 10 truck for $70 per day. assume a one-day rental takes place. using systems of linear equations, anden what mileage conditions would it make make sense to choose one company over the other? o a mileage = 50.05 o b. mileage = 50 oc. mileage = 84.83 ос o d. mileage = 70 o e. mileage = 84.03 = .
Answer:
Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer
Step-by-step explanation:
Done this and got right
how do you make x the subject on this
Benjamin wants to purchase a new bike, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Benjamin?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the bike now.
He can save money and pay cash once he has enough.
He can use his credit card to purchase the bike now.
Round.............100pts
Answer: ≈ 4.
Step-by-step explanation: In order to solve this, you need to turn this into an addition problem. In order to do that, we need to transform the 3 into a fraction:
3/1 + 175/349.
Solve:
3/1 + 175/349 = 3.50143266 or ≈ 4.
Have a great day! :)
Answer:
4
Step-by-step explanation:
Convert the mixed fraction into decimal form using a calculator
[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]
Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).
The swimming pool shown below has a 6 foot wide concrete deck around it.
What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232
Area of the rectangle inside:-
32(16)=512ft^2Area of the rectangle outside
28(44)=1232ft^2Area of the deck:-
Area of rectangle outside-inside1232-512720ft^2Answer:
pretty sure it's D for this question
How many nickels to make 20
Answer:
if you're talking 20 cents, then 4, if you're talking dollars, then 400.
tell me pls if you want an explanation.
Answer:
400 nickels
Step-by-step explanation:
How many nickels to make $20?
1 nickel = 5 cents ($0.05)
? nickels = $20
How many nickels make $1?
0.05x = 1
/0.05 /0.05
x = 20 <== 20 nickels make $1
How many nickels make $20?
20x = $20
20(20) = $20
400 = $20
This means that 400 nickels make $20
Hope this helps!
please help with angle addition
Answer:
m∠1 = 89°
Step-by-step explanation:
Since m∠2 is a part of ∠GFH, he can do the following.
∠GFH - m∠2 = m∠1
133° - 44° = 89°
the first day of shooting a movie, a director uses 30% of a film reel. The strip of
film used was 90 meters long.
What is the standard length on a film reel?
Answer:
27
Step-by-step explanation:
30% of 90 can be written as 30% × 90
= 30/100 × 90
= 27
A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.
Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
Answer:
d
Step-by-step explanation:
i just finished the test
Trey decides to raise the price of his tomatoes from $5 a basket to $6 a basket. What is the percent of the increase?
Answer:
(6-5)/5=20% increase
Step-by-step explanation:
please answer . thanks in advance
Answer:
Step-by-step explanation:
If they are the same, the ratio of length to width when reduced to the lowest terms are
Large rectangle L/w = 36/24 = 3/2
Small triangle L/w = 24/18 = 4/3
Answer: The ratios are not the same. The rectangles are not similar.
Find the numerator ?/2 > 1/5
Given that the measure of 2x is 45°, and the measure of zy is 499, find the
measure of z
Answer:
86 degrees
Step-by-step explanation:
The angles of a triangle all add up to 180.
x is 45 degrees
y is 49 degrees
49 + 45 = 94
180 - 94 = 86
The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86