Answer:
aₙ = 5n + 1Step-by-step explanation:
11 - 6 = 5 , 16 - 11 = 5 , 21 - 16 = 5
So, it's atithmetic formula with common difference os 5
[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]
A glass prism on a chandelier is 57 millimeters long. A base of the prism is an
equilateral triangle with side lengths of 8 millimeters and a height of about 5.2
millimeters. What is the approximate surface area of the prism?
Pleasee help!!
Answer:
1410 mm²Step-by-step explanation:
Given triangle prism with:
a = 8mm, h = 5.2 mm, l = 57 mmTotal surface area:
S = Pl + ah = 3al + ah = a(3l + h)S = 8(3*57 + 5.2) = 1409.6 mm² ≈ 1410 mm²in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?
Answer:
The area of triangle AED = (x^2-xy)/2
Step-by-step explanation:
Mathematically, the area of a square is the product of its side lengths
Thus, if the area is x^2; then the side of the square measures x
So each of the side of the square has a measure x units
Now, for the base of the square;
EC = ED + DC
x = ED + y
ED = x - y
Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2
The height here is x and the base is (x-y)
We have this as;
Area of triangle AED =
1/2 * x * (x-y)
= (x(x-y))/2
= (x^2-xy)/2
Raul uses a credit card to take out a 3-year loan of $4500 at a rate of 15% to purchase
carpeting for his house. What will be the total amount he will repay for this loan?
Answer:
Amount of loan pay = $6.840 (Approx.)
Step-by-step explanation:
Given:
Amount of loan borrow = $4,500
Rate of interest = 15% = 0.15
Number of year = 3 year
Find:
Amount of loan pay
Computation:
Future value = Present value[1+r]ⁿ
Amount of loan pay = Amount of loan borrow[1+r]ⁿ
Amount of loan pay = 4,500[1+0.15]³
Amount of loan pay = 4,500[1.15]³
Amount of loan pay = 4,500[1.52]
Amount of loan pay = $6.840 (Approx.)
Can someone find the answer to this and not put a link out
Answer: B
Step-by-step explanation:
What is the value of x if p(x)=-48. Please use this function: 3/4 x
u need to do 111111155151515151515151515151
Tom walks 2.12 km to the park he then walks a further 670 to the shop how many km has Tom walked in total
Answer:
672.12
Step-by-step explanation:
Select each expression that is equivalent to 4(x + 8)
4x + 32
4x + 8
2x + 4 + 2x + 4
4x + 8(4)
2(2x + 16)
Answer:
4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
Step-by-step explanation:
4(x + 8)
4 × x + 4 × 8
4x + 32
Thus, 4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
-TheUnknownScientist
help please
Lindiwe suspected that the relationship between temperature and electricity consumption is not linear for all temperatures. She collected data for peak temperatures down to 0°C as shown in the graph.
Which of the following projections is MOST accurate?
A.
When the peak temperature is 40°C, 35 units of electricity are used on average.
B.
When the peak temperature is 40°C, 72 units of electricity are used on average.
C.
When the peak temperature is 40°C, 48 units of electricity are used on average.
D.
When the peak temperature is 40°C, 120 units of electricity are used on average.
Answer:
B. When the peak temperature is 40°C, 72 units of electricity are used on average.Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
Approximate points:
(30, 34) and (34, 54)The slope of the line:
m = (54 - 34)/(34- 30) = 20/4 = 5The line is:
y - 34 = 5(x - 30)y = 5x - 116At x = 40, the value of y would be:
y = 5*40 - 116 = 84The closet option is B
what is the area of a circle with a radius of 10
Answer: A≈314.16
Step-by-step explanation: A=πr2=π·102≈314.15927
can someone help me with this prooblem
Answer:
9.85
Step-by-step explanation:
I hate these, LOL
We're going to draw a triangle on the graph paper to solve this. (in theory)
The top point is at 2 on the x axis, and the bottom is at 6. That's a difference of 4. Draw a line from the top dot over 4 spaces, so a line dropped from there could go straight to the bottom dot. We'll call this line/side of the triangle a, and a = 4.
Then we drop the line from there (6, 4) down to the second dot at (6, -5). That line is 9 places long. We'll call this line/side of the triangle b, and b = 9.
(This is so much easier to draw than type, I'll attach a picture).
Then we connect the two dots diagonally to form line/side c of our triangle. This is the length we don't know.
The pythagorean theorem says a^2 + b^2 = c^2
So a = 4, b = 9, c is unknown for our triangle
(4)(4) + (9)(9) = c^2
16 + 81 = 97
The square root of 97 = 9.8488, so if they have you round, I would say 9.85
Sorry if this just confused you more.
3) Raeana is twice as old as Madeline, and Laura is 10 years older than Raeana.
If Laura is 50 years old, how old is Madeline? Let m represent Madeline's age in
years, and let r represent Raeana's age in years.
Answer:
M = 20; R = 40
Step-by-step explanation:
R = 2M
L = R + 10
L = 50
50 = R + 10
(Take away 10 from both sides)
50 - 10 = 40
40 = R
Remember, R = 2M
40 = 2M
(Divide both sides by 2)
40 / 2 = 20
20 = M
6.) Convert the following linear equation into slope-intercept form.
4x + 3y = 9
Answer:
[tex]y=\frac{-4}{3} +9[/tex]
Step-by-step explanation:
Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.
First, subtract 4x from both sides,
3y=-4x+9
Then, divide both sides by 3,
y=-4/3x+3
HELPPP ME PLEASEEE IM JUST SLOW
Answer:
Solve it, you can do it!
Step-by-step explanation:
Multiply 4 2/3 and then divide what you get with 7
Answer:
1.5 or 1 1/2
Step-by-step explanation:
4 2/3 / 7
14/3 / 7
3 * 7 = 21
21/14 =
1.5
edit 1: i changed the / to an or to make it less confusing
a yogurt shop offers 6 different flavors of frozen yogurt and 8 different toppings. how many choices are possible for a single serving of frozen yogurt with one topping.
the options are
A. 36
B. 48
C. 20,160
D. 64
Answer:
36
Step-by-step explanation:
yes it may be gets 48 flavoure
Mark and Henry win some money and share it in the ratio 4:3. Mark gets £9 more than Henry. How much did they get altogether?
Jackie wants to save at least $16 a week from her paycheck. Which inequality can be used to solve how many weeks until she has saved $200?
Answer:
n ≥ 12.5 weeks
Step-by-step explanation:
Weekly savings = at least $16
n = number of weeks
At least in inequality means ≥
16n ≥ 200
n ≥ 200/16
n ≥ 12.5 weeks
12.5 weeks until she has saved $200
Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables
Answer:
9x = 120
x= [tex]\frac{43}{3}[/tex]
Step-by-step explanation:
Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.
Answer: A
Step-by-step explanation:
The correct option is A.
What is an exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given is that a graph,
So, from the graph we can concluded that it is an exponential and positive function,
Therefore, as x increases y also increases.
We know that the exponential function is given by =
y = abˣ
So, when x = 0, y = 100,
100 = a × b⁰
a = 100
When x = 4, y = 150,
150 = 100 × b⁴
b⁴ = 1.5
b = 1.11
y = 100(1.11)ˣ
Change = 110-100 / 100 × 100% = 10%
Therefore, we can say the value of a $100 stock grows in value by 10% each year.
Hence the correct option is A.
Learn more about exponential function click;
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(PLEASE HELP!! AND NO LINKS OR I WILL REPORT YOU!)
Answer:
10x + 15
Step-by-step explanation:
x - 1 = 1 (2).
x + 4 x 10x + 15 / 2.445
x + 4 (2) / 2.445 = x1 - 4
10x + 15
What is the figure shown below?
N
м.
A...line
B..line segment
C..ray
Answer:
c its Ray I looked on goggle and I looked up Ray and it showed a picture of that
Answer:
Its a ray I didnt need to look it up cause I alr did this before
Which gives all the solutions of the equation x2 – 2x + 1 = 0?
What is the volume of a rectangular prism
8 inches long, 5 inches wide, and 2 inches high?
Answer:
132 Cubic Inches, Search up how to find the the surface area for rectangular prism it helps!
The perimeter of a square P depends on the length of its sides S this can be written in function notation as P( s) what is the best interpretation of p(3)=12
Answer:
Step-by-step explanation:
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is side²
We have,
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
i.e
Since the function P is defined as the perimeter of the square in terms of its side length S,
We can substitute S = 3 into the function and get P(3) = 12.
This means that the sum of the four sides of the square when its length is 3 units is equal to 12 units.
Thus,
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
Learn more about squares here:
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PLEASE HELP FAST Segment PR and segment QS are diameters of circle U. Find measure of arc ST
Answer:
Maybe 74
Step-by-step explanation:
42+64=106
180-106=74
A triangle has three angles that measure 20 degrees. 60 degrees and
(3x - 25). What is the value of x? Please help due in 10 minutes
all triangles have 180 total degrees, we know this
80 degrees are accounted for, so there's 100 left
3x - 25 = 100
3x = 125
x = 41.67
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
[tex]Scale = Length : Width[/tex]
For the painting,
[tex]Scale = 20: 16[/tex]
For the frame,
[tex]Scale = 15: w[/tex]
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
[tex]15 : w = 20 : 16[/tex]
Express as fraction
[tex]\frac{w}{15} = \frac{16}{20}[/tex]
[tex]\frac{w}{15} = 0.8[/tex]
Make w the subject
[tex]w = 15 * 0.8[/tex]
[tex]w = 12[/tex]
The width of the frame must be 12 inches i.e. 15in by 12in frame
The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1
Answer:
The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.
Step-by-step explanation:
Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.
simplify the expression
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-4 + (-1) - (-3) = -2
Which two equations are equivalent to: 3(3x - 2) = 5(2x + 4) 9x - 6 = 10x + 20
A:9x - 6 = 10x + 20
B:3x - 2 = 2x + 4
C:-26 = x
D:3x _ 4 = -26
Answer:
C. -26=x
Step-by-step explanation:
3(3x-2)=5(2x+4)
9x-6=10x+20
9x-10x=20+6
-x=26
-x/-1=26/-1
x= -26
I NEED HELP!!!!! I WILL GIVE YOU BRAINLIEST ANSWER!!!
Answer:
AC=2.35
Step-by-step explanation:
tan25=AC/BC
0.47=AC/5
AC=2.35
hope it helps
have a great day!!