Find the 10th term of the geometric sequence 3, 15, 75, ...
Answer:
5,859,375
Step-by-step explanation:
a10 = 3×5^9 = 3×1,953,125
= 5,859,375
Answer:
5,859,375
Step-by-step explanation:
Given :-
A geometric sequence is given to us which is 3 , 15 , 75 .And we need to find out the 10th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
Common Ratio :-
[tex]:\implies[/tex] CR = 15 ÷ 3 = 5
The 10 th term :-
[tex]:\implies[/tex] T_n = arⁿ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5 ¹⁰ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5⁹
[tex]:\implies[/tex] T_10 = 3 × 1953125
[tex]:\implies[/tex] T_10 = 5859375
Hence the 10th term is 5,859,375
7. A triangle has sides with lengths 7, 24, and 25. (Lesson 4-5)
a. Verify this is a Pythagorean triple.
b. Approximate the acute angles in this triangle.
A triangle has sides of 7, 24, and 25 cm. The length of the hypotenuse is equal to 25 cm if the triangle is a right triangle.
What are the angles of a 7/ 24/ 25 triangle?The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious.
49, 576, and 625 are the results of squaring the lengths of the side of the.
49 + 576 = 625\s(7)2 + (24)2 = (25)2
As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.
the hypotenuse is 25 cm long.
Angles of 16.26 degrees and 73.74 degrees are suitable.
Yes, since 72+242=252 (sum of squares on smaller two sides equals square on largest side).
The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious. 49, 576, and 625 are the results of squaring the lengths of the side of the. As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.
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Which compound inequality is equivalent to the absolute value inequality 161 > 6?
Answer:
option D
Step-by-step explanation:
Answer:
b < –6 or b > 6
Step-by-step explanation:
Which expression is modeled by this set of arrows on the number line?
On solving the provided question, we can say that - here in number line we jump fron 2 to 7 as we have added +5
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
here,
we have +5
so 2+(+5) = 7
we will jump to 7 from 2
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I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
Which circles have an area less than 300 square centimeters? Select all that apply.
A circle with a radius of 9.5 centimeters.
A circle with a radius of 10 centimeters.
A circle with a radius of 10.5 centimeters.
A circle with a diameter of 15 centimeters.
A circle with a diameter of 25 centimeters.
Answer:
A, b, d
Step-by-step explanation:
On a map, 1 inch equals 15 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.
Answer:
75 miles
Step-by-step explanation:
You have to just multiply 15 by 5.
1*5 inches=15*5 miles
8^x/2 divided by 4^x/3 equals 2^-5/2
The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:
x = -6/5.
How to solve the exponential equation?The exponential equation for this problem is defined as follows:
[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]
Both 8 and 4 are powers of 2, as follows:
8 = 2³.4 = 2².Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{-\frac{5}{2}}[/tex]
When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, hence:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{\frac{3x}{2} - \frac{2x}{3}}[/tex]
The subtraction is obtained as follows:
3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.
(as the least common factor of 2 and 3 is of 6).
Then the simplified expression is of:
[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]
As the exponential function y = 2^x is injective, the solution is obtained as follows:
5x/6 = -5/2.
10x = -12
x = -6/5.
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help ! i should really pay attention in class
Answer:
I think its b
Step-by-step explanation:
2 of 10
x
Colin buys a car for £27900.
It depreciates at a rate of 3% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
Below
Step-by-step explanation:
3% loss means 97% (.97 in decimal ) remains
after 2 years :
27 900 ( .97)^2 = £ 26251 .11
66. Mechanical Engineering A crossed belt connects
a 10-centimeter pulley on an electric motor with a
20-centimeter pulley on a saw arbor (see figure). The
electric motor runs at 1700 revolutions per minute.
(c) Let L be the total length of the belt. Write L as
a function of o, where is measured in radians.
What is the domain of the function? (Hint: Add the
lengths of the straight sections of the belt and the
length of the belt around each pulley.)
On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
value of the 20 unit is 1700
value of the each unit will be 1700/20 = 85
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If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
The value of x is 8.
What are supplementary angles?Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.
Two angles are said to be supplementary if the value of their sum add up to 180^o.
From the given question, we can deduce that;
m<1 + m<2 = 180^o (definition of complementary angles)
(17x - 30) + (7x + 18) = 180^o
17x - 30 + 7x + 18 = 180^o
24x - 12 = 180
24x = 180 + 12
24x = 192
x = 192/ 24
= 8
x = 8
The value of x is 8.
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helpppp plsss its due tonight !!
Answer: D.
Step-by-step explanation:
1. Look at the range/IQR of each box-plot
2. The smaller the range = the less variability
Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6
Answer:
neither
Step-by-step explanation:
when slopes are the same its parallel
when slopes are multiplied and it equals -1 they are perpendicular
Help me please please no links
Answer:
the first bubble is your answer hope it helps
If you have more expenses than income, which is NOT a good way to balance your budget?
A-Decrease income.
B-Increase income.
C-Decrease expenses.
D-Borrow money with a repayment plan.
a d
.....................................................
Please help. This is the last problem from my homework.
PLEASE HELP! WILL MARK BRAINLIST!
find the unknown side length, X. round your answer to the nearest tenth.
A) 15
B) 15.8
C) 24.3
D) 16.7
Answer:
x = 15.8
Step-by-step explanation:
What is the relationship between points and lines?
Answer:
Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.
Step-by-step explanation:
help please!! this is for tonight, I don't know how to use the "undefined" please help
The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope or rate of change.x and y represents the data points.c represents the y-intercept.In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).
Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;
x = a
Where:
a represents the x-intercept.
At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.
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Help please
Work out
A) 4/5 of 30
B) 2/9 x 45
C) 24 x 1/6
Answer:
A) 24
B) 10
C) 4
Step-by-step explanation:
i multiplied for each question
bonjour svp aide moi
Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.
1°) Calculer nOp.
Answer:
n0p = 120°
Step-by-step explanation:
m0n + n0p = 180°
60° + n0p = 180°
n0p = 120°
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-Step Explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
A Quadratic polynomial whose zeroes are 5 and -2 is
x² + 5x - 2
x² + 3x + 10
x² - 3x - 10
x² - 2x + 5
I will Mark Brainliest Answer
x
2
−3x−10
x
2
−(5x+x)−10
x
2
−5x+2x−10
x(x−5)+2(x−5)
(x−5)(x+2)
x=5
x=−2
sumofzeroes
=αβ=5×−2=−10
α+β=
9
−b
=−
1
(−3)
=3
productofzeroes
=αβ=5×−2=−10
αβ=
a
c
=
1
−10
=−10
proved
________________________
mark me brainliest........proved
Which of the following is a chord
What are the 3 types of terms in quadratic equation?
The 3 types of terms in quadratic equation:
1) quadratic term,
2) linear term,
3) constant term.
We know that the second degree algebraic equation in x is a quadratic equation.
The standard form of quadrtic equation is ax^2 + bx + c = 0, where a, b, c are integers.
As thise is a quadratic equation, the value of a can not be zero. a ≠ 0
The term ax^2 is called the quadratic term.
From this term, the name given to the equation(quadrtic equation)
The term bx is called the linear term.
And the term c is called the constant term.
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Subtract (7x+5)-(3x+2)?
Answer:
Step-by-step explanation:
original equation equivalent to 7x+5-3x-2 = 7x-3x+5-2=4x+3
the answer is 4x+3
Answer:
The answer is 4x+3
There are 18 counters divided equally among 3 groups. How many counters are in each group?
Line r is parallel to line c.
Which angle is congruent to < 3
A. <2
B. <4
C. <5
D. <6
Answer: C. <5
Explanation: They are on the same line meaning that they should share the same degree of angle, especially because they are opposite sides of the same line.
Can you help me with this
Answer:
y = 3/2x - 3
Step-by-step explanation:
first find slope (m):
m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2
plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):
y - (-3/2) = 3/2(x-1)
y + 3/2 = 3/2x -3/2
now put it in slope-intercept form y = mx + b:
y = 3/2x -6/2
y = 3/2x - 3