Find the 12th term of geometric 5, 15, 45
Answers
Answer:
An=a1*r^n-1 n = 12 Ratio=3 A1=5 Answer =885735
Step-by-step explanation:
hope this helps :)
Related Questions
Electra has $1,000 in her savings account. She earns 3.5% interest annually. How much interest has she earned after one year?
$3.50
$35
$350
$1,000
Answers
she has earnt 1000 x 3,5% = $35
Label the following statements as true or false (Answer is back, give a short justification!).
(a) If V is a vector space and W is a subset of V that is a vector space, then W is a subspace of V.
(b) The empty set is a subspace of every vector space.
(c) If V is a vector space other than the zero vector space, then V contains a subspace W such that W =/ V.
(d) The intersection of any two subsets of a vector space V is a subspace of V.
(e) An n x n diagonal matrix can never have more than n nonzero entries.
(f) The trace of a square matrix is the product of its diagonal entries.
(g) Let W be the xy-plane in R3; that is {(a1, a2,0): a1, a2 ER}. Then W = R².
Answers
The statement (a) False, statement (b) True, statement c) True , statement (d) False, statement (e) True , statement (f) False and statement (g) True.
(a) The statement is false because for a subset to be considered a subspace of a vector space, it must satisfy the closure properties of addition and scalar multiplication, which are not necessarily inherited by a subset that is itself a vector space.
(b) The empty set satisfies the conditions for being a subspace vacuously since there are no elements to check.
(c) Any non-zero vector space will contain subspaces that are proper subsets of the vector space itself.
(d) The intersection of two subsets may fail to satisfy closure properties, making it not a subspace.
(e) A diagonal matrix has non-zero entries only along its main diagonal, which can have at most n entries for an n x n matrix.
(f) The trace of a matrix is the sum of its diagonal entries, not their product.
(g) The set W defined as the xy-plane in R3 contains all points (a1, a2, 0), which precisely corresponds to the Cartesian plane R². Therefore, W is equal to R².
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true or false: the symbol in boolean algebra means regular addition as in linear regular algebra
Answers
Answer: False
Step-by-step explanation:
In Boolean algebra, the symbol "+" represents logical OR operation, not regular addition as in linear algebra. The logical OR operation is used to combine two or more logical statements into a single statement that is true if at least one of the statements is true.
For example, if A and B are two logical statements, then A+B is true if A is true, or B is true, or both A and B are true.
Therefore, it is important to understand the context in which the symbol "+" is being used, whether it is in the context of regular addition or logical OR operation.
Algebra.
2x^2+30x+88 / 2x^3+7x^2-4x
What is the new expression in the numerator once the GCF had been factored?
___ (___^2 + ___ + ___)
Answers
Answer:
Step-by-step explanation:
2x2+30x+88/2x3+7x2-4x
Step-by-step explanation:
To find the GCF (greatest common factor) of the two terms, we need to factor them each into their prime factors and determine which factors they have in common. However, upon inspection, we can see that both terms have a common factor of 2, so we can factor that out:
2x^2 + 30x + 88 = 2(x^2 + 15x + 44)
2x^3 + 7x^2 - 4x = 2x(x^2 + 3.5x - 2)
Now we can simplify the fraction by dividing out the common factor of 2:
(2(x^2 + 15x + 44)) / (2x(x^2 + 3.5x - 2)) = (x^2 + 15x + 44) / (x(x^2 + 3.5x - 2))
To fit the given format, we can write:
(x^2 + 15x + 44) = (x + ___)(x + ___)
Using FOIL method, we can find the factors that give us x^2 + 15x + 44:
(x + 11)(x + 4)
Therefore, the new expression in the numerator once the GCF had been factored is:
(x + 11)(x + 4)
m<3=96degrees,m<5=84degrees need help with this one
Answers
Answer:
Yes because the lines never intersect.
Answer
No
Step-by-step explanation:
If a and b were parallel, then
∠ 3 and ∠ 5 would be alternate angles and congruent.
However, ∠ 3 = 96° and ∠ 5 = 84°, that is not congruent
Thus a and b are not parallel
for what values of x does 5x^2+4x-4=0
Answers
Answer: See explanation
Step-by-step explanation:
x=-(2-2*the square root of 6)/5, about 0.58
or
x=-(2+2*the square root of 6)/5, about -1.38
The values of the x from equation \(5x^2+4x-4=0\) are x = 0.5798 and -1.38.
Given that:
Equation: \(5x^2+4x-4=0\)
To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:
\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)
Compare the equation with \(ax^2 + bx + c = 0\).
Here, a = 5, b = 4, and c = -4.
Plugging in the values to get,
\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)
So the solutions for x are calculates as:
Taking positive sign,
\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)
x = 5.798/10
x = 0.5798
Taking negative sign,
\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)
x = -13.798/10
x = -1.38
Hence, the exact solutions for the equation \(5x^2 + 4x - 4 = 0\) are x = 0.5798 and -1.38.
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What is an equation of the line that passes through the points (0,-2) and (0,-5)?
Answers
Step-by-step explanation:
this is the anser because first find slope and y intercept
Julie sold her vacation home during the tax year. julie purchased the property in 2007 for
$236,500 and sold the property for $429,000. julie paid $5,250 to add a deck onto the home
in 2010. in 2012, a flood caused $25,000 of damage, which she paid out-of-pocket to restore
the property. julie did not have flood insurance and was able to claim a $4,100 casualty loss
on her itemized deductions that year. what amount of gain from the sale would be reported
on her return?
Answers
Based on the cost of the property to Julie in 2007 and the various costs incurred since then, the amount of gain would be $166,350.
What is the gain on the property?First find cost Julie has incurred in total:
= 236,500 + 5,250 + 25,000 - 4,100
= $262,650
The gain is therefore:
= Selling price - Total cost incurred
= 429,000 - 262,650
= $166,350
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You cut an 24ft rope into three different lengths. The largest length is five times larger than the smallest length, and the other length is two times larger than the smallest length. How long is the piece that is neither longest nor shortest?
Answers
The length of the piece that is neither the longest nor the shortest is 6 feet.
Let's denote the length of the smallest piece as x. According to the given information, the largest length is five times larger than the smallest length, so the largest length is 5x. The other length is two times larger than the smallest length, so it is 2x.
To find the length of the piece that is neither the longest nor the shortest, we add up the lengths of the three pieces and subtract the lengths of the longest and shortest pieces:
Total length = smallest length + other length + largest length
24 ft = x + 2x + 5x
24 ft = 8x
Dividing both sides of the equation by 8, we find:
x = 3 ft
So, the smallest piece is 3 feet, the largest piece is 5 times larger, which is 15 feet, and the other piece is 2 times larger, which is 6 feet.
Therefore, the length of the piece that is neither the longest nor the shortest is 6 feet.
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according to the graph, what is the value of the constant in the equation below?
Answers
Answer:
3
Step-by-step explanation:
height = constant * width
let's rearrange this equation
constant = height/width
let's pick several points as a proof
15/5 =3
6/2 =3
1.5/0.5 = 3
hope this helps you!!
3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.
Answers
Answer:
$175.
Step-by-step explanation:
There are 100 centimeters in meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.
So the required cost
= 0.07 * 100,000 / 40
= 7000 / 40
= $175.
Answer:
Hello! :) The answer will be under “Explanation”
Step-by-step explanation:
As my answer I got $175
1km would equal to 100,000 cm
1m would be 100cm
That means 1 km = 100 000 cm
Now you have to divide.
100,000 divided by 40 equals to 2,500($0.07)
=$175
If we do the math correctly we can now see that the answer should be $175
Hope this helps! :)
By:BrainlyMember ^-^
Good luck!
Write the equation for Chelsea's graph in
slope-intercept form. Make sure the slope is
written in simplest form.
Answers
Answer:
\(y=-4x+16\).
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
\(Slope=\dfrac{y_2-y_1}{x_2-x_1}\)
\(Slope=\dfrac{8-24}{2-(-2)}\)
\(Slope=\dfrac{-16}{4}\)
\(Slope=-4\)
Slope intercept form of a line is
\(y=mx+b\)
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
\(y=(-4)x+(16)\)
\(y=-4x+16\)
Therefore, the required equation is \(y=-4x+16\).
Describe a pattern in the sequence of numbers. Predict the next number.
1.) 256, 64, 16, 4, ... ________.
2.) 2, 6, 18, 54, ... _______
Answers
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
In the first sequence,
let's take ratio of the next term with its preceding term, so we will get the common ratio ~
\(\qquad \sf \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)
So, we can imply that The next term of the sequence is 1/4 times the previous term.
hence, the unknown term will be 1/4 times of previous term.
That is : 1/4 × 4 = 1Therefore, the next term here is 1
In the second sequence,
Do the same procedure as above, we will get common ratio as :
\(\qquad \sf \dashrightarrow \: \cfrac{18}{6} = 3\)
So, the next term is 3 times the preceding term, that is :
3 × 54 = 162Therefore, the next term is 162
pattern: divide by 4
next term: 1
2.
pattern: multiply by 3
next term: 162
Every rhombus is a rectangle. true or false
Answers
Answer: false
Step-by-step explanation:
Describe the translation from AB to A’B’
Answers
The translation from AB to A’B’ is (x, y) → (x + 9, y + 2).
What is Translation in Math?The translation is a type of transformation in mathematics. When a shape is transformed, the original shape is referred to as the preimage, and the translated shape is referred to as the image.In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions.Given:
The coordinates of A(preimage) are (-5,1).
The coordinates of A'(image) are (4,3).
From the coordinates of the translated image, A'B' we can determine the transformations.
The translation applied to the point (-5,1) are (x, y) → (x + 9, y + 2).
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Please help will mark brainliest
Answers
Answer:
c
Step-by-step explanation:
What is the HIGHEST common factor
of the set of numbers (54, 72, 90}?
Answers
Answer:
18
Step-by-step explanation:
54/18=3
72/18=4
90/18=5
Answer:
18
Step-by-step explanation:
GCF of 54, 72, 90 is:
54÷3= 18
72÷4= 18
90÷5= 18
The GCF of 54, 72, and 90 is 18.
how to find the turning point of a polynomial function?
Answers
the turning point(s) of a polynomial function by using below steps
To find the turning point of a polynomial function, follow these steps:
1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).
2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.
3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.
4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.
5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).
6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.
By following these steps, you can find the turning point(s) of a polynomial function.
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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.
The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.
The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.
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Are the ratios 30:15 and 32:12 equal?
Answers
Answer:
No, they are not
Step-by-step explanation:
:(
BRAINLIEST IF CORRECT
Ethan claims that |7-3| - 4. Which statement about Ethan’s claim is true?
Group of answer choices
Ethan is correct because the absolute value bars are grouping symbols so first you must subtract. 7 - 3 = 4, and |4| =4.
Ethan is correct because |7| = 7 and |-3| = 3 so 7 + 3 = 10. Plot 7 on a number line, and move right 3 to get 10 on the line.
Ethan is incorrect because the absolute value bars are grouping symbols so first you must subtract 7 - 3 = 4, and |4| = -4.
Possible Answer
Answers
Answer:
Ethan is correct because |7| = 7 and |-3| = 3 so 7 + 3 = 10. Plot 7 on a number line, and move right 3 to get 10 on the line.
Step-by-step explanation:
suppose that a conveyor used to sort packages by size does not work properly. we test the conveyor on several packages (with h0:incorrect sort) and our data results in a p-value of 0.016. what probably happens as a result of our testing?
Answers
If the p-value of a hypothesis test is 0.016, it means that the probability of observing the data or more extreme data assuming the null hypothesis (i.e., the conveyor works properly) is 0.016. So, we reject the null hypothesis.
This p-value is relatively small and falls below the conventional significance level of 0.05. Therefore, we can reject the null hypothesis that the conveyor works properly and conclude that the conveyor is not sorting packages correctly.
However, we cannot determine the cause of the problem with the conveyor from this hypothesis test alone. Further investigation is necessary to identify the root cause of the issue and determine the appropriate corrective actions.
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Triangle pendant has two sides the same length the third side is 9 inches shorter than either of the equal sides the perimeter of the pendant is 57 inches how long is the shortest side 
Answers
The required length of the shorter side of the triangle pendant is 13 inches.
What is Triangle pendant?A triangle pendant addresses indication, edification, disclosure, and a higher viewpoint. It is much of the time used to stamp the patterns of development that lead to a higher condition. Shop the Workmanship Decor Blossom Pendant Pink.
According to question:
We have,
Let the longer sides which are equal be x,
Then shorter side is x - 9.
Perimeter Triangle pendant = 57 inches
So, x + x + x - 9 = 57
3x = 66
x = 22 inches
So, the Shortest side = x - 9 = 22 - 9 = 13 inches.
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Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answers
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
The temperature outside was 4 degrees Celsius in the morning. It has fallen by 8 degrees. What is the temperature?
Answers
Answer:
-4 degrees
Step-by-step explanation:
4 - 8 = -4
Answer:
-4 Celsius
Step-by-step explanation:
What is the slope of the line that contains these points?
xxx 888 111111 141414 171717
yyy 363636 121212 -12−12minus, 12 -36−36minus, 36
Answers
The slope of the given straight line passing through the coordinates given would be -8.
What is the general equation of a straight line?The general equation of a straight line is → Ax + By + C = 0Rearranging the equation, we can write -By + C = - Ax
By = - Ax - C
y = -(A/B)x - (C/B)
Given are the coordinate points lying on the line.
Slope of a line measures the rate of change of {y} with respect to {x}.Mathematically, we can write the slope as → m = (y₂ - y₁)/(x₂ - x₁)We can write the slope as -
m = (y₂ - y₁)/(x₂ - x₁)
m = {12 - 36}/{11 - 8}
m = -24/3
m = -8
Therefore, the slope of the given straight line passing through the coordinates given would be -8.
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Determine which expression has the same product as 0.027 x 0.008
(Options in the picture)
Answers
Answer:
No no no no no
Step-by-step explanation:
All are No.
The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.
22 24 26 28 30 32 34 36 38 40 42
points
If possible, find the mean. If not possible, explain why not.
Answers
Answer:It is not possible
Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.
Cai bought popcorn for herself and 2 friends, plus a drink
only for herself. The popcorn cost $2 for each person, and
the total cost for Cai's purchase was $7.50. If d is the
cost of a drink, which equation below could be used to
determine the cost of Cai's drink?
Answers
Answer:
$6+d=$7.50
Step-by-step explanation:
FODORHER
What is the probability of winning a lion, then another lion?
What should we multiply together to get the answer?
J.C
1/9
::1/10 :: 2/8
# 2/9 # 2/10
3/9
:: 3/10
4/8
2
:: 4/9
:: 4/10
Answers
Answer: J.C
1/9
::1/10 :: 2/8
Step-by-step explanation: good day! hope i helped love helping. bye
I need help please!!
Answers
The average rate of change of the function f(x) over the interval [-2, -9] is -6.
What is the average rate of change of the function f(x)?To determine the average rate of change of the function f(x) over the interval [-2, -9], we need to find the slope of the secant line that connects the points (-2, f(-2)) and (-9, f(-9)).
We first find the values of f(-2) and f(-9):
f(-2) = (-2)² + 5(-2) + 14 = 4 - 10 + 14 = 8
f(-9) = (-9)² + 5(-9) + 14 = 81 - 45 + 14 = 50
So, the two points are (-2, 8) and (-9, 50).
The slope of the secant line between these two points is:
slope = (f(-9) - f(-2)) / (-9 - (-2)) = (50 - 8) / (-9 + 2) = 42 / -7 = -6
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