Answer:
a₁₀₀ = 385Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_9=a_1+d(9-1)\\\\37=a_1+8d\\\\a_1=37-8d\\\\\\a_{16}=a_1+d(16-1)\\\\65=a_1+15d\\\\65=37-8d+15d\\\\28=7d\\\\d=4\\\\a_1=37-8\cdot4=5\\\\\\a_{100}=a_1+d(100-1)=5+4\cdot95=385[/tex]
PLEASE HELP I NEED QUALITY ANSWERS AS WELL WILL MARK BRAINLIEST!!!
True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula = (with ‘a’ the length of the semi-major axis and ‘b’ the length of the semiminor axis). Explain why as well.
Answer:
True
Step-by-step explanation:
So the radius would be 5 (as you times it by 2 to get 10)
Therefore
2a=10 is the same as what the circle with diameter d=2r=10
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer:
18/5
Step-by-step explanation:
12+17+20+8+13 =70
70/5 = 14 which is the mean
the distances from the mean are
2 3 6 6 1
add them which is 18 then divide by 5 to find the mean
18/5
Look at the drawing of a triangle within a rectangle. The
triangle and the rectangle have the same base, b, and
height, h.
If the area of the triangle is 48 square units, what is the
total area of sections 1 and 2?
square units
) Intro
Answer:
48 square. Units
Step-by-step explanation:
Given that :
Triangle and rectangle have the same base, b and height, h
AREA of triangle = 0.5 * base * height
48 = 0.5 bh
bh = 0.5 * 48
bh = 96
Total area of section 1 & 2 :
bh = area of triangle + x
X = bh - area of triangle
X = 96 - 48
Area of se tion 1&2 = 48
please help for brainliest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answer:
841.6 ft
Step-by-step explanation:
Solve this using the quadratic formula.
y=-16x^2+212x+139 becomes -16x^2 + 212x + 139. The x-value of the axis of symmetry is
-212
x = ----------- = 6.625 (This time measurement is in seconds.)
2(-16)
The maximum height reached by the rocket is the y value when x = 6.625 and is y(6.625) = 841.6 ft
1. Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa. If Jazmin is 45 years old, how old is Brittany?
Write two algebraic equations, let represent Alyssa’s age in years and represent Brittany’s age in years.
Tysm if u do this <3
Answer:
Brittany is 15 years old
Step-by-step explanation:
The way we get the answer is by getting the age of Alyssa 45-15=30 as, Jazmin is 15 years older than Alyssa and then we can see that Alyssa is twice as old as Brittany so we divide Alyssa's age by two. 30÷2=15 and we get Brittany's age which is 15 years old.
Put these numbers in order, from least to greatest. If you get stuck, consider using the number line. with a picture
Answer:
Step-by-step explanation:
When we proceed from left to right on a number line, numbers get bigger.
That means (-5) on the given number is the least and 5 is the greatest.
By this rule, order of the numbers will be,
-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8
Now we can place these numbers on the number line as shown.
What is the slope for this question?
Answer:
[tex]-1[/tex]
Step-by-step explanation:
This is a really nice line that goes through a lot of grid points (where the lines intersect).
One easy way to find the slope is the phrase "rise over run." "Rise" is the name for vertical motion from point-to-point. "Run" is the name for horizontal motion from point-to-point.
Pick two easy points on the line, say (0, 0) and (1, -1).
If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.
The run is 1 -- because you went RIGHT 1 unit.
[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]
The slope is -1.
Cool fact: You'll get the same value if you use any two points on the line.
What is the sum of the interior angles of the polygon pictured below?
Answer:
360°
explanation:
the sum of interior angles of all quadrilaterals (polygons with four sides) is 360°. If you put a pen at any of the four corners and try to draw a line to any other corner, you'll find you can only make two triangles. And since the angle sum of triangles is 180°, 180 times 2 = 360
Help me pls
A dance team is going to spend $1,440 to Purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweatshirts or jackets th team can Purchase?
The team can Purchase ___________ sweatshirts or ___________ jackets.
Answer:
They can get 60 sweatshirts or 45 jackets
Step-by-step explanation:
1440/24 for sweatshirts and 1440/32 for jackets.
Answer: 60 sweatshirts or 45 jackets
Step-by-step explanation:
How to solve for (3v^3r^4)^2
Answer:
9v^6r^8
Step-by-step explanation:
3v^6 · 3r^8
Write an
equation in slope-intercept form of the line that
passes through the given points: (-2, 4) & (3,-1).
Step-by-step explanation:
So our m = (4+1)/(3+2) = 1
4 = -2 + b
b = 6
y = x + 6
PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!
Answer:
About -5.8 and -.2
Step-by-step explanation:
Zeros at -5.828 and -.172
The right end of this board lines up with the marks halfway between 4 and 5 (Iready) How long is the board?
Answer:
[tex]Halfway = 4.5[/tex]
Step-by-step explanation:
Given
4 and 5
Required
Determine the halfway
This is calculated as:
[tex]Halfway = \frac{1}{2}(4 + 5)[/tex]
[tex]Halfway = \frac{1}{2}(9)[/tex]
Remove bracket
[tex]Halfway = \frac{1}{2} * 9[/tex]
[tex]Halfway = 4.5[/tex]
Answer: 4 1/2
Step-by-step explanation:
The side length of a triangle or 12.5 inch 4.4 inch and 11.72 which statement best describes the triangle formed using these
side lengths
Answer:
scalene
Step-by-step explanation:
12.5, 4.4, and 11.72 are all different measurements
i hope this helped
What is the value of this expression?
3
25 - 9(2)
write an equation of the line passing through the point A(8,2) that is perpendicular to the line y=4x-7
Answer:
y - 2 = (-1/4)(x - 8)
Step-by-step explanation:
The slope of the given line is 4. The slope of any line perpendicular to the given line is the negative reciprocal of 4, which is -1/4.
Use the point-slope formula:
y - k = m(x - h), where (h, k) is the given point.
Then: y - 2 = (-1/4)(x - 8)
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
Independent Practice
Now practice solving some problems.
Which number is a solution of the inequality ?
[tex]\frac{4-m}{m}[/tex][tex]\geq[/tex]5
IT'S NOT A. 2
A.
2
B.
0.75
C.
–4
D.
0.5
Answer:
B
Step-by-step explanation:
Answer:
m ≤ 2/3 or m ≤ .67
Step-by-step explanation:
cross-multiply:
4 - m ≥ 5m
4 ≥ 6m
4/6 ≥ m or m ≤ 2/3
Identify the vertex f(x) = x2 + 16
Find the volume of a right circular cone that has a height of 19.4 cm and a base with a diameter of 9.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
V = 497.8 cm^3
Step-by-step explanation:
Thats Righttt
The volume of the cone is 1592.6 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The right circular cone's vertex is immediately above the base's centre. The line connecting the vertex with the centre point of the base is perpendicular to the cone's radius. A cone, on the other hand, can have its vertex anywhere.
Given that, a right circular cone with the height of 19.4 cm and a base with a diameter of 9.9 cm. we need to find the volume,
Volume of cone = 1/3 × π × radius² × height
= 1/3 × 3.14 × (9.9/2)² × 19.4
= 1592.6 cm³
Hence, the volume of the cone is 1592.6 cm³
Learn more about volume, click;
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Share 480 into the ratio 9:7
Answer:
270 : 210
Step-by-step explanation:
total ratio
9 + 7 = 16
ratio 1
480 ÷ 16 =30
ratio 9
30 × 9 = 270
ratio 7
30 × 7 =210
Simplify :
(a+b)²
Thanks
Answer:
(a+b)(a+b)
=a^2 + ab + ab + b^2
=a^2 + 2ab + b^2
Answer:
(a+b)² = ( a +b ) (a + b )
= a² + b² + 2ab
Find the scale factor applied to figure A to produce figure B
Answer:
0.25
Step-by-step explanation:
12x = 3
x = 0.25
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
Find area of the shaded region.
PLZ I NEED HELP ASAP!!!
BRAINLIEST TO CORRECT ANSWER!!!
XTRA POINTS!!!
NO LINKS!!!
I WILL REPORT!!!
Answer:
area of shaded portion = 226.09 m²
Step-by-step explanation:
area of circle = πr² = (3.14)(18.6²) = 1086.314 m²
area of 123° segment = (123/360)(1086.314) = 371.157 m²
cos 61.5° = height/18.6 = 8.875
height of triangle = 8.875 m
sin 61.5° = 1/2base/18.6 = 16.346, base = 32.692 m
base of triangle = 32.692 m
area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²
area of shaded portion = 371.157 - 145.071 = 226.09 m²
Solve for x.
8x-132
5x+8
Find P (Horse/Female) Hint: P(A and B)/P(B)
the answer is 6 at the top and 9 at the bottom but the answer for that question is 6.
Answer:
1/13
Step-by-step explanation:
Step 1: Find the number of horses and divide it by the number of females.
2 Horses / 26 Females
Step 2: Simplify the fraction.
1 Horse / 13 Females
Final Answer:
1/13
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
Find the Average
100-90-80-89-75-0
Explain how u got ur answer
Someone help I will give brainlist for whoever explains it
Answer:
72.3
Step-by-step explanation:
So, to find the average you need to add all the numbers together and divide it by the amount of numbers there are, if that makes sense.
so in your question: 100 + 90 + 80 + 89 + 75 + 0= 434
and there are 6 numbers that you had to add together, so you divide 434 by 6, which is 72.3 so that's the answer! It's quite easy once you understand how to do it :)
If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one-litre jar?
10 hours
1,000 hours
1 hour
100 hours
Answer:
100 hours
Step-by-step explanation:
To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.