Answer:
a 2 = -39
a 2 = a 1 + 12
- 39 = a 1 + 12
a 1 = - 39 - 12
a 1 = - 51 ( first term )
The common difference is : d = 12
The explicit rule for the arithmetic sequence:
a n = a1 + ( n - 1 ) d
a n = -51 + ( n - 1 ) · 12
Step-by-step explanation:
Please answer I am struggling
(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )
Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft
2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)
Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)
Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm
6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)
Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.
(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)
What is the side length of the image if the apothem is 8.3 feet and the area is
214.14 feet squared?
keeping in mind that regular polygon has 12 sides
[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s[/tex]
please help me with this question
Answer:
71
Step-by-step explanation:
The mean is the average. There are two ways to do this question shown.
1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-
88+100+76+92+83=439.
439/5=87.8
The current average is 87.8. Now, you can add and divide again.
439+71=510. 510/6=85.
You now have the answer. However, you might want to check again.
439+76=515
515/6=85.833....3
It is more than 85, so the answer is 71.
2- Find out how much more all the numbers are than the smallest number.
First, I'll organize it.
-76, 83, 88, 92, 100-
The smallest number is 76, so subtract 76 from each.
0, 7, 12, 16, 24 added up together is 59.
59/5=11.8
76+11.8=87.8
That also gives you that the average is 87.8.
You can then see how much or less the number is than the average and then add.
71 is five LESS than the average, so it's -5.
54/6=9.
9+76=85.
Thus, 71
How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?
Answer:
135 miles in 3 hours, or 45 miles an hour
Step-by-step explanation:
well, if it travels 90 miles in 2 hours, than how many does it do in one?
90m/2h=45 miles in ONE hour.
Given that info, we can solve for 3 hours.
If ONE hour is 45, then THREE hours is just 45*3=135
135 miles in 3 hours, or 45 miles an hour
Answer:
90 miles in 2 hours
45 miles per hour
135 miles in 3 hours
Step-by-step explanation:
Bro come on simple maths
Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n
Find the square number
5
8
15
30
36
A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm
The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
How to calculate the force acting on string?According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
Learn more on hookes law here: https://brainly.com/question/12253978
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties, how much will the replacement costs be? a. $4,258,856 b. $3,681,384 c. $1,191,036 d. $6,749,204
The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.
The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,
[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]
The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,
[tex]C=54138\times68\\C=3681384[/tex]
Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
Learn more about the percentage here;
https://brainly.com/question/24304697
EZ QUESTION - FREE BRAINLIEST: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answer:
Step One
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
1 It widens the graph
jcherry99 avatar
It turns the graph upside down. The next one is the tough one.
jcherry99 avatar
It gives the parabola two real roots.
jcherry99 avatar
If you thought of others, so much the better.
Step-by-step explanation:
Answer:
y = - 4x² - 16x - 9
Step-by-step explanation:
the equaion of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (- 2, 7 ) , then
y = a(x + 2)² + 7
to find a substitute (- 1, 3 ) into the equation
3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )
- 4 = a(1)² = a
then
y = - 4 (x + 2)² + 7 ← in vertex form
= - 4(x² + 4x + 4) + 7
= - 4x² - 16x - 16 + 7
= - 4x² - 16x - 9 ← in standard form
A company makes wax candles in the shape of a rectangular prism. Each Candle is 6 inches long, 4 inches wide and 7 inches tall. how much wax will they need to make 336 candles
Answer:
168
Step-by-step explanation:
LxWxH
L=6
W=4
H=7
6x4=24
24x7=168
Answer:
63,168 square inches
Step-by-step explanation:
A=2(wl+hl+hw)
A= 2{(4*6)+(7*6)+(7*4)}
A= 188
188 square inches for each candle
188 square inches times 336 candles= 63,168 square inches in total.
Hope this helped <3 Brainliest? :)
Find the x- and y-intercepts of the equation - 4x + 2y = 20
Answer:
y-intercept: 20
x-intercept: 5
Step-by-step explanation:
First, you want to rearrange the equation to make y on one side
2y=20-4x
Next, the y-intercept is 20.
Then to find the x-intercept, you have to make the equation equal to 0.
20-4x=0
Now, you solve for x.
20-4x=0
-4x=-20
-x=5
x=5
The x-intercept is 5.
Find the area of the rug. DO NOT ROUND.
what is the area?
Answer:
[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]
Step-by-step explanation:Given:
Diameter of rug = 6 feetTo find the area of the rug, we need to use the formula "πr² or π(D/2)²"
Where:
r = radius d = diameterSince we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.
⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]
⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]
⇒ [tex]\pi (3 )^{2}[/tex]
⇒ [tex]\pi (3 )(3)[/tex]
⇒ [tex]9\pi[/tex]
Substituting "22/7" as π:
⇒ [tex]9(\frac{22}{7} )[/tex]
⇒ [tex](\frac{198}{7} )[/tex]
When finding the area of ANY shape, do not forget to include the units.
⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]
Answer:
28.26 ft²
Step-by-step explanation:
Formula:
[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]
Determining the radius of the circular rug:
To determine the radius, we need to divide the diameter by 2.
Given diameter: 6 feet
[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]
[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]
[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]
Replacing the radius in the formula:
[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]
Determining the area of the circular rug:
[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]
[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]
Replacing π as 3.14 (Approx. measure of π):
[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]
[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]
Find the value of x that makes triangle rst similar to triangle hgk
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
What are similar triangles?
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since both triangles are similar, hence:
GH/RS = HK/ST
(x + 7) / 3 = 8/5
x = -2.2
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
Find out more on similar triangles at: https://brainly.com/question/2644832
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.
How to calculate the mortgage?From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:
= ($55,000 × 9% × 25)
= $123750
The cost of the mortgage will be:
= $55000 + $123750
= $178750
The monthly payment will be:
= ($55000 + $123750) / 25 years
= $178750/(25 × 12)
= $178750/300
= $595
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How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
6
Answer:
there are three variable terms
UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
How to calculate the volume?The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
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Alex surveyed twenty boys from his class. He asked their height in centimeters and their shoe size. Alex wanted to know if these two variables were related. He graphed the results on the coordinate plane. Each graph below shows Alex’s data.
Which of the graphs shows the best linear fit for the data?
The graph that has a linear fit that is best for the data that Alex collected is the graph attached.
Which graph shows the data best?A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.
The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.
Find out more on linear fits at https://brainly.com/question/839548.
The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?
The volume of the cylinder in cubic meters is 20.886 m^3
How to get the volume?
We know that the volume is the area of the base times the height.
In this case, the diameter of the base is 18 ft, so the radius (half of that) is:
R = 18ft/2 = 9ft
Then the area of the base is:
B = 3.14*(9ft)^2 = 254.34 ft^2
And the height is 2.9 ft, then the volume is:
V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3
Now, we know that:
1ft = 0.3048 m
if we cube both of these
1 ft^3 = (0.3048 m)^3 = 0.0283 m^3
Now we can change the unis of our volume:
V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3
If you want to learn more about volumes, you can read:
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If you can help me with this please and thank you
Answer:
thanks for the points
Step-by-step explanation:
Find the volume of the figure. If necessary, round your answer to the nearest tenth.
Answer choice
A: 441 cm^3
B: 220 cm^3
C: 73.5 cm^3
Answer:
220 cm^3
Step-by-step explanation:
volume = 1/2(10.5)(6)(7)
volume = 220.5 cm^3
What is the surface area of this design? (in the image)
★TSA=2(LB+BH+LH)
#1
L=4B=4H=6TSA:-
2(4×4+4×6+4×4)2(16+16+24)2(56)112in²#2
L=6inB=10inH=6inTSA:-
2(60+60+36)2(120+36)2(156)312in²Total:-
312+112=424in²Factor completely 9y+27
Answer: 9(y + 3)
Step-by-step explanation: 9y/9 = y | 27/9 = 3
There are 31 passengers split between 3 cars in the Metrolink. How many passengers per car?
Answer:
10 passengers in every car
One left he choose the car which he want
explanation:
MAY IT HELP U
Answer:
Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.
Step-by-step explanation:
Step 1: Determine the unit rate
Passangers per car
Passangers / car
(31 passangers) / (3 cars)
10.333 passangers / car
Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.
You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked
Answer:
39
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!
Hope this helps
Find the midpoint between point A and point B:
A: (-3, 10)
B: (7, -4)
options:
(-5, 3)
(2, 3)
(2, 7)
(-5, 7)
Answer:
2,3
Step-by-step explanation:
Answer: (2,3)
Step-by-step explanation:
add the two x’s and divide them then do the same with your y’s.
Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).
The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be
[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]
Then add 180 degrees, then we have
[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]
Then the value of the cosine will be
[tex]\cos 160.52^o=-0.9428[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
-2√2/3
Step-by-step explanation:
edge 22
HELPPP please help i don’t get it
this is what would make sence for me
the frist one was confusing
The slope for 5 and 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know, slope (m) is equal to tan θ for a straight line :
[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]
[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]
So, we can say that it's a positive constant slope
SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb
Answer:
12,240 W
Step-by-step explanation:
Use a proportion.
8/8160 = 12/x
8x = 8160 × 12
x = 1020 × 12
x = 12,240
Answer: 12,240 W
