Answer:
35,38,41,44,47,50,....
Step-by-step explanation:
n ∈N means that n is an element of Natural numbers
Natural numbers are whole non-negative numbers
n ≥ 1, means that n = 1, 2, 3, 4, 5, 6,........
tn = 32 + 3n
the first term t1 = 32 + 3(1)
32 + 3 = 35
the second term t2 = 32 + 3(2)
32 + 6 = 38
the third term t3 = 32 + 3(3)
32 + 9 = 41
What is the value of x?
Enter your answer as a decimal to the nearest tenth in a box.
Answer:
13.2 ft.
Step-by-step explanation:
In the given ΔABC
tanA = [tex]\frac{Height}{Base}[/tex] = [tex]\frac{BC}{AB}[/tex]
tan 31° =[tex]\frac{x}{22}[/tex]
x = 22 tan 31°
= 22 × (0.6009)
= 13.22 ≈ 13.2 ft.
For the geometric series
4+20 + 100 + 500
what is the value of n?
In the given geometric series, the common ratio is 5. The value of n, which indicates the term number, is found to be 4 by setting up and solving an equation based on the general formula for the nth term in a geometric series.
Explanation:The series presented is a geometric series. In a geometric series, each term is multiplied by a common ratio to get the next term. In this case, the common ratio is 5 because each term is obtained by multiplying the previous term by 5.
In a geometric series, the general formula for the nth term is a * r^(n-1), where a is the first term and r is the common ratio. Hence, let's set up the nth term equation and solve for n.
500 = 4 * 5^(n-1)
When we solve the equation, we find that the value of n is 4.
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In the rho.bus, m angle 1 =4y-2. Find the value of y.
Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
Find the area of the trapezoid.
Answer:
On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet
Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet
Area of Rectangle = 12 * 5 = 60 sq feet
TOTAL Area = 21.75 + 60 = 81.75 square feet
Step-by-step explanation:
What is the sum of the series?
For this case we must find the sum of the given series. For this we must expand the series for each value of k.
[tex](-2 (3) +5) + (- 2 (4) +5) + (- 2 (5) +5) + (- 2 (6) +5) =\\(-6 + 5) + (- 8 + 5) + (- 10 + 5) + (- 12 + 5) =[/tex]
Different signs are subtracted and the sign of the major is placed, while equal signs of sum and the same sign is placed.
[tex]-1-3-5-7 =\\-16[/tex]
The value of the series is -16
ANswer:
-16
what is the answer for 40÷32/4
Answer:
5
Step-by-step explanation:
40/(32/4)
40/8
5
Answer:
[tex]{\huge \boxed{5}}[/tex]
Step-by-step explanation:
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Do divide from left to right, to find the answer.
[tex]40\div32\div4[/tex]
[tex]32\div4=8[/tex]
[tex]40\div8=5[/tex]
5 is the correct answer.
40 points answer asap!!!!!What is the surface area of the cone? (Use 3.14 for pie and round to the nearest hundredth.)
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Plug the given values into the equation:
SA = ([tex]\pi[/tex])(9)(15) + [tex](\pi)[/tex] [tex](9^{2})[/tex]
Condense the equation:
216[tex]\pi[/tex]
Answer:
216 is going o be your answer
Step-by-step explanation:
Given the Question below which of the following shows the quadratic formula correctly applied?
ANSWER
D.
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
EXPLANATION
The given equation is
[tex]2 {x}^{2} - 9x + 4 = 0[/tex]
When we compare this to:
[tex]a{x}^{2} + bx + c = 0[/tex]
we have a=2, b=-9, and c=4.
The quadratic formula is given by,
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the formula to get,
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
The correct choice is D
Question 2 (2 points)
Which theorem or postulate proves that AABC is similar to ADEF?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
Both triangles have 2 side lengths labeled and a common angle ( shown by the curved lines).
You could use the SAS Similarity theorem.
Answer:
SASStep-by-step explanation:
This was the answer that was right for me, I just did this question :) Hope this helps!
Please help me with this!
Answer:
The graph is a parabola with vertex (0 , -2)
Equation: y = x² -2
For x = -2, y = (-2)² -2 ⇒ y = 4 - 2 ⇒ y = 2
For x = -1, y = (-1)² -2 ⇒ y = 1 - 2 ⇒ y = -1
For x = 0, y = (0)² -2 ⇒ y = 0 - 2 ⇒ y = -2
For x = 1, y = (1)² -2 ⇒ y = 1 - 2 ⇒ y = -1
For x = 2, y = (2)² -2 ⇒ y = 4 - 2 ⇒ y = 2
How do you get to 2,982 using 42 + something?
Answer:
2940
Step-by-step explanation:
Hello There!
To Solve This Equation, I Would Not Use Addition Till The Very End.
Remember, 42 + Something Equals 2,982.
That is The Same As Subtracting 42 From 2,982
2,940 Is Your Answer.
What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? Round your answer to the earnest hundredth. (THERE ARE NO ANSWER CHOICES. I HAVE TO TYPE THIS ANSWER OUT
Answer:
[tex]0.46\pi\ radians[/tex]
Step-by-step explanation:
step 1
Find the circumference
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=5\ units[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(5)=31.4\ units[/tex]
step 2
Find the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units
Remember that
The circumference of [tex]31.4\ units[/tex] subtends a central angle of [tex]2\pi \ radians[/tex]
so
using proportion
Let
x-----> the central angle in radians
[tex]\frac{2\pi}{31.4}=\frac{x}{7.2} \\ \\x=2\pi (7.2)/31.4\\ \\x=0.46\pi\ radians[/tex]
Simplify the expression -4x2(3x − 7).
The expression -4x^2(3x - 7) simplifies to -12x^3 + 28x^2 after distributing -4x^2 across the parentheses and performing the necessary multiplications.
The expression to be simplified is -4x^2(3x - 7).
To simplify the expression, you need to distribute the term -4x^2 across the parentheses. This involves two multiplication steps:
Multiply -4x^2 by 3x to get -12x^3.Multiply -4x^2 by -7 to get +28x^2.
After performing these multiplications, the expression simplifies to -12x^3 + 28x^2.
Given: circle k(O), m FH = (31x+3°) m GH = (33x+3°) m∠FHG = (28x−3°) Find: m∠FGH
Answer:
The measure of angle FGH is m∠FGH=48°
Step-by-step explanation:
step 1
Find the measure of arc FG in terms of x
we know that
The inscribed angle measures half that of the arc comprising
m∠FHG=(1/2)[arc FG]
substitute the given values
(28x−3°)=(1/2)[arc FG]
arc FG=(56x−6°)
step 2
Find the value of x
we know that
arc FG+arc FH+arc GH=360° -----> by complete circle
substitute the values
(56x−6°)+(31x+3°)+ (33x+3°)=360°
120x=360°
x=3°
step 3
Find the measure of angle m∠FGH
we know that
The inscribed angle measures half that of the arc comprising
m∠FGH=(1/2)[arc FH]
substitute the given values
m∠FGH=(1/2)[31x+3°]
m∠FGH=(1/2)[31(3)+3°]
m∠FGH=48°
HELP!
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Answer:
D)y-intercept of f(x) is greater than the y-intercept of g(x)
Step-by-step explanation:
Y-intercept is the point y-coordinate value on graph where graph line intersects the y-axis and the value of x coordinate on x-axis is zero at that point.
From the given graph of f(x), it can be seen that
y-intercept of f(x) is 2
For the given function g(x)
finding y-intercept
when x=0
y=-3
because g(x) = 3 for 1<x≤3
As 2>-3
hence y-intercept of f(x)>g(x) !
Which statement best describes the association between variable X and variable Y?
Moderate negative association
Perfect positive association
Moderate positive association
Perfect negative association
Answer:
Perfect positive association
Step-by-step explanation:
Definition: A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. (+1 indicates a perfect positive linear relationship)
Definition: A perfect negative association means that a relationship appears to exist between two variables, and that relationship is negative 100% of the time. Two variables have negative association when the values of one variable tend to decrease as the values of the other variable increase. (-1 indicates a perfect negative linear relationship)
Values between 0.3 and 0.7 (-0.3 and -0.7) indicate a moderate positive (negative) linear relationship.
From the graph we can see that this relationship shows perfect positive association (both variables increase and we can plot the straight line which will include all points)
Answer:
perfect positive
Step-by-step explanation:
12w-27=-34+14w whats the answer
12w-27=-34+14w
Add 34 to each side:
12w + 7 = 14w
Subtract 12w from each side:
7 = 2w
Divide both sides by 2:
w = 7/2 ( depending on how you need to write the answer it could also be written as 3 1/2 or 3.5)
Answer:
w=7/2
Step-by-step explanation:
12w-27=-34+14w
12w-27+27=-34+14w+27
12w=14w-7
12w-14w=14w-7-14w
-2w=-7
w=7/2
If you need a decimal divide 7 by 2
hope this helps mark me brainliest
what is the value of x?
Answer:
x = 14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value of sin45°
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
Hence
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 7[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{7\sqrt{2} }{sin45}[/tex]
= [tex]\frac{7\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 7[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 7 × 2 = 14
Susana bought a laptop for $500. It was marked $50 off because it was out of the box and slightlly scratched. She also got 20% student discount, which was taken off the original price. What was the original peice of the laptop? Write and solve an equation to answer the question
Answer: 500*20%=100-50=50
Step-by-step explanation:
500*20%=100-50=50
In how many ways can a committee of 4 be chosen from a group of 9 people? 36 126 3,024
Answer:
the answer is 126!
Step-by-step explanation:
i worked it out myself, and got it correct! have a great day :)
There are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.
What is the combination?The solution is obtained through a combination where we choose "r of n", where r is the amount of things we choose and n the total number of things that can be chosen.
The combinations form uses factorial numbers. This is the formula:
[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}[/tex]
Where the value of n is 9 and r is 4.
The number of ways can a committee of 4 be chosen from a group of 9 people is;
[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}\\\\\rm ^9C_4=\dfrac{9!}{(9-4)!4!}\\\\ ^9C_4=\dfrac{9!}{5!4!}\\\\ ^9C_4=\dfrac{9\times 8 \times 7 \times 6 \times 5!}{5!\times 4\times 3\times 2\times 1}\\\\ ^9C_4=\dfrac{3024}{24}\\\\ ^9C_4=126[/tex]
Hence, there are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.
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The value of c is equal to _____.
For this case we have that by definition, the Pythagorean theorem states that:
[tex]c = \sqrt {a ^ 2 + b ^ 2}[/tex]
Where:
a, b: Are the legs
c: It is the hypotenuse
According to the figure we have to:
[tex]a = 20\\b = 21[/tex]
Substituting in the formula we have:
[tex]c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29[/tex]
Answer:
Option D
Answer:
841
Step-by-step explanation:
hope this helps
Select all of the situations that represent a linear relationship between x and y.
the total area, in square meters, y, of a square garden if the side length is x meters
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total miles, y, traveled by a car going 62 miles per hour in x hours
Answer:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_use
Step-by-step explanation:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks!
Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is [tex](side)^{2}[/tex]
Here, side is 'x' and area 'y' will be [tex]x^{2}[/tex].
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
[tex]y=6+0.2x[/tex]
When x = 1
[tex]y=6.2[/tex]
When x = 2
[tex]y=6+0.2(2)[/tex]
=> [tex]y=6.4[/tex]
When x = 3
[tex]y=6+0.2(3)[/tex]
=> [tex]y=6.6[/tex]
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
[tex]y=15+8x[/tex]
When x = 1
[tex]y=15+8=23[/tex]
When x = 2
[tex]y=15+8(2)[/tex]
=> [tex]y=31[/tex]
When x = 3
[tex]y=15+8(3)[/tex]
=> [tex]y=39[/tex]
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
[tex]y=62x[/tex]
When x = 1
[tex]y=62[/tex]
When x = 2
[tex]y=62(2)[/tex]
=> [tex]y=124[/tex]
When y = 3
[tex]y=62(3)[/tex]
=> [tex]y=186[/tex]
This is also linear in nature.
What is the least common denominator in the equation below?
1) 2
2) 9
3) 12
4) 36
Suppose Henry is laying on the ground looking up at the sun that appears just over the top of a tree at
an angle of elevation of 32°. He is located 20 meters away from the base of the tree. How tall is the
tree? Round to the nearest meter.
Answer:
Good day! Use trigonometry to define the formula.
Step-by-step explanation:
The height of the tree that the sun appears just over it top is 12 meters
The situation forms a right angle triangle.
The height of the tree is the opposite side of the triangle.
His distance away from the base of the tree is the adjacent side of the right angle triangle.
Therefore,
Using trigonometric ratio,
tan 32 = opposite / adjacent
tan 32 = h / 20
cross multiply
height of the tree = 20 tan 32
height of the tree = 20 × 0.6248693519
height of the tree = 12.4973870382
height of the tree ≈ 12 meters
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-8x^2- [8x - 6x^2 - 8x)] - [7 + (-8x - 7)]
Answer:
[tex]\large\boxed{-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]=-2x^2-8x-14}[/tex]
Step-by-step explanation:
[tex]-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]\\\\=-8x^2-8x-(-6x^2)-(-8x)-[7-(-8x)-(-7)]\\\\=-8x^2-8x+6x^2+8x-(7+8x+7)\\\\=-8x^2-8x+6x^2+8x-7-8x-7\qquad\text{combine like terms}\\\\=(-8x^2+6x^2)+(-8x+8x-8x)+(-7-7)\\\\=-2x^2-8x-14[/tex]
Write the equation of the circle in general form. Show your work.
Answer:
The equation would be:
(X+1)^2 + (y-1)^2 = 9
This is the equation of the circle in general form.
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
or
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
To write the equation of a circle in general form, you start with the standard form of the circle's equation, which is:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
where \( (h, k) \) is the center of the circle and \( r \) is the radius.
From the information provided:
- The center of the circle is \( (-1, 1) \)
- The radius of the circle is \( 3 \) units
Let's substitute these values into the standard form:
[tex]\[ (x - (-1))^2 + (y - 1)^2 = 3^2 \][/tex]
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
Now, to write it in general form, you'll expand the equation and combine like terms:
Step 1: Expand the squares
[tex]\[ (x + 1)^2 = x^2 + 2x(1) + 1^2 \][/tex]
[tex]\[ (y - 1)^2 = y^2 - 2y(1) + 1^2 \][/tex]
Step 2: Write the expanded form
[tex]\[ x^2 + 2x + 1 + y^2 - 2y + 1 = 9 \][/tex]
Step 3: Combine like terms
[tex]\[ x^2 + y^2 + 2x - 2y + 1 + 1 = 9 \][/tex]
Step 4: Move the constant to the right side
[tex]\[ x^2 + y^2 + 2x - 2y = 9 - 2 \][/tex]
Step 5: Final general form
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
This is the equation of the circle in general form.
Michael applied a transformation to triangle ABC to obtain triangle A’B’C the two triangles are not congruent.which of the following could be the transformation Michael applied ??
HELP !!!!!
B) dilation
this transformation changes the shape's size (making it smaller/larger) whilst the others keep the shape congruent (same shape, same size)
When two shapes are similar but not congruent, it means the transformations performed on the shapes is non-rigid. The transformation that Michael can use to obtain a non-congruent triangle for is (b) dilation.
A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.
Because the resulting triangle [tex]\triangle A'B'C'[/tex] must not be congruent, then, Michael can dilate the original [tex]\triangle ABC[/tex] to give the new triangle [tex]\triangle A'B'C'[/tex]
See attachment for an illustration of dilation
Hence, (b) is correct
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What is the volume of each solid figure made of 1-inch cubes? What is the correct unit of measure?
Answer:
a is 12 inches cubed because there are four hidden blocks
b is 9 inches cubed because you can see there are 9 cubes
Which is the area of a parallelogram with a base of 13 centimeters and a height of 3 centimeters?
Step-by-step explanation:
Area of a parallelogram is the base times the height.
A = bh
A = (13 cm) (3 cm)
A = 39 cm²
Answer:
The area is 39 square cm.
Step-by-step explanation:
The area of a parallelogram is given as :
[tex]A=base\times height[/tex]
Given is:
base = 13 cm
height = 3 cm
So, area of the parallelogram becomes:
[tex]A=13\times3[/tex]
[tex]A=39[/tex] square cm.
Therefore, the area of the parallelogram is 39 square centimeters.
What is 40% of 39 ?
Answer:
15.6
Step-by-step explanation:
40% × 39 = 15.6
Hope this helps