Answer:
\(r = -9\)
Step-by-step explanation:
Given
\(Sequence: 9,-81, 729,-6561...\)
Required
Determine the common ratio
The common ratio r is calculated using:
\(r = \frac{T_n}{T_{n-1}}\)
Let \(n = 2\)
So, we have:
\(r = \frac{T_2}{T_{2-1}}\)
\(r = \frac{T_2}{T_1}\)
From the sequence:
\(T_2 = -81\)
\(T_1=9\)
So, the equation becomes
\(r = \frac{-81}{9}\)
\(r = -9\)
ax+b=c for x how do I solve this can someone help explain it to me.
Answer:
x= c - b / A
please look at the step by step explanation to better understand :)
Step-by-step explanation:
subtract b from the left side and right side
so you are left with Ax = c - b
divide what number c - b is by A
and you are left with x= c - b / A
a) Factor f(x)=−4x^4+26x^3−50x^2+16x+24 fully. Include a full solution - include details similar to the sample solution above. (Include all of your attempts in finding a factor.) b) Determine all real solutions to the following polynomial equations: x^3+2x^2−5x−6=0 0=5x^3−17x^2+21x−6
By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.
Find all real solutions to the polynomial equations \(x³+2x ²-5x-6=0\) and \(5x³-17x²+21x-6=0\).Checking for Rational Roots
Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).
The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.
By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).
Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:
-4x⁴ + 26x³ - 50x² + 16x + 24 = (x + 2)(-4x³ + 18x² - 16x + 12)Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).
Attempt 2: Factoring by Grouping
Rearranging the terms, we have:
-4x³ + 18x² - 16x + 12 = (-4x^3 + 18x²) + (-16x + 12) = 2x²(-2x + 9) - 4(-4x + 3)Factoring out common factors, we obtain:
-4x³+ 18x² - 16x + 12 = 2x²(-2x + 9) - 4(-4x + 3) = 2x²(-2x + 9) - 4(3 - 4x) = 2x²(-2x + 9) + 4(4x - 3)Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:
2x²(-2x + 9) + 4(4x - 3) = 2x² (-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = (2x² + 4)(-2x + 9)Therefore, the fully factored form of \(f(x) = -4x⁴ + 26x³ - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).
Solutions to the polynomial equations:
\(x³ ³ + 2x² - 5x - 6 = 0\)Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +
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use distributive property to create an equivalent expression to 40+4x.
Answer:
4(10+x)
Step-by-step explanation:
find the gcf: 4
divide everything by the gcf: 4(10+x)
Answer:There are 3 answers 4(10+x), 4(10)+4(x), 40+4x
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 115 and a standard deviation of 7. using the empirical rule, what percentage of males in the town have a systolic blood pressure between 94 and 136?
The percentage of males in the town with systolic blood pressure between 94 and 136 is approximately 99.7% according to the empirical rule.
We have,
To determine the percentage of males in the town with systolic blood pressure between 94 and 136, we can use the empirical rule (also known as the 68-95-99.7 rule) for a normal distribution.
According to the empirical rule, approximately:
68% of the data falls within one standard deviation of the mean,
95% of the data falls within two standard deviations of the mean,
99.7% of the data falls within three standard deviations of the mean.
Given that the mean systolic blood pressure for males in the town is 115 and the standard deviation is 7, we can calculate the number of standard deviations each boundary is from the mean:
Lower boundary: (94 - 115) / 7 = -3
Upper boundary: (136 - 115) / 7 = 3
Since both boundaries are within three standard deviations of the mean, we can conclude that the percentage of males in the town with systolic blood pressure between 94 and 136 is approximately 99.7% according to the empirical rule.
Thus,
The percentage of males in the town with systolic blood pressure between 94 and 136 is approximately 99.7% according to the empirical rule.
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PLSS HELP!! WILL GIVE YOU BRAINLYEST!!
The net below shows the dimensions of Michelle's living room. She is going to put wallpaper on the living room walls.
What is the total surface area of the room?
The total surface area is 121.8yd^2 and the lateral surface area is 79.8yd^2.
121.8 - 79.8 = 42
Help answer brainliesttttttttt
2:15
Amount of problems:How much time.
2·5:15·5
=10:75
So 10 problems in 75 minuets.
HOPE THIS HELPED A LOT!!!!!
Can I have brainiest now???
A bakery sells different packages of muffins. The number of muffins, , and the price in dollars, , of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
The bakery is considering adding a new package of muffins. Which of these combinations would make the relation NOT a function? Select TWO that apply.
A relation might or might not be a function. The connection would cease to be a function because of b. (6, 8) and d. (4, 3).
What are combinations?Combinations are mathematical procedures that count how many different ways a collection of items could be arranged when the order in which they are chosen is immaterial.
Combos' components can be chosen in any hierarchy.
Combinations and permutations can coexist.
Hence, the ordered pair is given:
(x, y) = (1, 2); (2, 3); (4, 5); (6, 7); (12, 13)
For a relation to be a function, all of the x-values must be unique (i.e. no repetition)
From the list of alternatives, options (b) and (d), with x values (6, 7) and (d), already exist in the ordered pair (4,5)
In light of this, (b) and (d) would stop the connection from being a function.
Therefore, a relation might or might not be a function. The connection would cease to be a function because of b. (6, 8) and d. (4, 3).
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Correct question:
A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
{(1,2),(2,3),(4,5),(6,7),(12,13)}
The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.
a. (10,13)
b. (6,8)
c. (8,12)
d. (4,3)
e. (24,18)
A line with a slope of 7 passes through the points (2,–8) and (4,z). What is the value of z?
Answer:
z : 6
Step-by-step explanation:
points: (2,-8) and (4, 6)
Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?
Answer:
Starting number= 120
Step-by-step explanation:
Giving the following information:
After selling 65% of her lacrosse sticks, she has 42 sticks left.
To calculate the starting number of lacrosse sticks, we need to use the following formula:
Starting number= sticks left / proportion of sticks on stock
Starting number= 42 / 0.35
Starting number= 120
LO
5
Select all the ways that zero can be
classified. select all that applied. (1 Point)
Whole number
Integer
rational number
Real number
none of the above
Answer:
?
Step-by-step explanation:
Find the value of a in the triangle shown below.
·
102
48°
The value of third angle is 30 and we can find using angle sum property.
What is angle sum property?The triangle's angles can be added up to equal 180 degrees, according to the angle sum property of triangles. A triangle has three sides, one at each vertex, and three angles. The total of the interior angles in any triangle, whether acute, obtuse, or right, is 180 degrees.
One of the most commonly employed properties in geometry is the angle sum property of a triangle. Calculating the unknown angles is primarily done using this characteristic. When the values of the other two angles are known, the measure of an unknown interior angle can be determined using the angle sum property.
Given
The two angles are given as 102 and 48
we need to find the third angle
Let the third angle be a then
using the angle sum property we get
102 + 48 + a = 180
a = 30
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What kind of function is the below?
Select one:
a.
Not a function
b.
Both onto and one-to-one
c.
Onto
d.
One-to-one
Answer:
one-to-one is the answer
What is the volume of this sphere?
Answer:
4188.79 cubic inches
Step-by-step explanation:
Since the formula is 4/3 r³, it would be equal to 4/3**10^3
So this is 4188.79.
Answer: 4188.79 cubic inches
Step-by-step explanation:
cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s)cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s) express your answer in volts using two decimal places.
The cell potential (E⁰ cell) of the given reaction Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) is 0.79 volts.
The given reaction is a redox reaction involving the following species: Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) .
To determine the cell potential (E⁰) of the reaction, we need to know the reduction potentials (E⁰) of the species involved. The reduction half-reactions involved in this reaction are:
Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6e⁻→ 2Cr³⁺ (aq) + 7H₂O (l)
(1) I2 (s) + 2e⁻ → 2I⁻ (aq)
(2) The standard reduction potentials (E⁰) for these half-reactions are: E⁰(Cr₂O₇²⁻/Cr³⁺) = 1.33 V
E⁰(I2/I⁻) = 0.54 V
To calculate the cell potential (E⁰cell), we subtract the reduction potential of the anode reaction (oxidation half-reaction) from the reduction potential of the cathode reaction (reduction half-reaction):
E⁰cell = E⁰cathode - E⁰anode
In this case, the reduction half-reaction (1) involves Cr₂O₇²⁻/Cr³⁺ and has a higher reduction potential (1.33 V) compared to the reduction half-reaction (2) involving I2/I⁻ (0.54 V).
Therefore, the reduction half-reaction (1) is the cathode reaction, and the reduction half-reaction (2) is the anode reaction. Substituting the values into the equation, we get:
E⁰cell = 1.33 V - 0.54 V = 0.79 V
Therefore, the cell potential (E⁰cell) of the given reaction is 0.79 volts.
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rewrite the quadratic equation in the y=a(x-h)^2 +k y=5x^2 -30x+95
The required equation in the given format is given as y = 5(x - 1)² + 90.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
Given equation,
y=5x² -30x+95
Take 5 commons from terms 5x² and 30 and put it in parenthesis, in the parenthesis add and subtract 1
y = 5[x² - 2x + 1 - 1]+ 95
y = 5 (x - 1)² - 5 + 95
y = 5(x - 1)² + 90
Thus, the required equation in the given format is given as y = 5(x - 1)² + 90.
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A 22 foot tree casts an 8 foot shadow. How long is the diagonal distance from the ground on the top of the tree? Answer as a decimal rounded to the hundredths
Answer:
About 23.4 feet.
Step-by-step explanation:
Pythagoreans theorem states a^2 + b^2 = c^2.
a = 8, squared = 64
b = 22, squared = 484
64 + 484 = 548
√548 = 23.4, rounded.
23.4 feet is your answer.
Hope this helps.
Hope this helps, have a great day!!!!
Remember to use the Pythagorean theorem in the situations
If it is currently 3:20 p.m., what time will it be in 13 hours and 19 minutes?
A.
4:39 a.m.
B.
6:39 a.m.
C.
5:39 a.m.
D.
3:39 a.m.
Answer:
A. 4:39
Step-by-step explanation:
ANSWER
A: 4:39 a.m.
4:39 is the result of 13 hours and 19 minutes after 3:20
What steps are used to solve this equation?
6f = 48
Complete each statement.
First, _____
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answer:
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
✔ divide by 6
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
✔ f = 8
.
Check the solution by substituting
✔ 8
for f and simplifying.
Step-by-step explanation:
The solution of the given equation would be 8.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between.
A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.
We are given the equation as;
6f = 48
We have to Complete each statement.
First, divide by 6 into both sides of the equation.
f = 48/6
Next, simplify the equation to determine that the solution of the equation is
f = 8
Check the solution by substituting for f and simplifying.
6 x8 = 48
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please help me!
Solve for x : show your steps!
2(x +8) = 4(x+2)
Answer:
4
Step-by-step explanation:
First, use the distributive property: 2x+16=4x+8
Second, move +8 to the other side(and turn it negative): 2x+8= 4x
Do the same for +2x: 8=2x
divide both sides by 2: 4=x
i dont know
what to do here and its due by the end of class
Answer:
ur screwed but the answer is 110.88
Step-by-step explanation:
:)
at a school assembly, 3 out of 10 students were wearing spirit wear. based on the information, if 400 students were at the assembly, then how many students would be expected to have on spirit wear?
The number of students who were wearing spirit wear at the assembly is = 120.
As given in Question that 3 out of 10 students were wearing spirit were.
if we have these type of Question then we will find the fraction part for 1 student as given 3 out of 10 then the fraction part for 1 will be = 3/10 = 0.3
for 1 student there is 0.3 fraction of students has wear spirit wear
so for 400 students were at the assembly
for 1 fraction is 0.3
for 400 = 400*(0.3 )= 120
Here 120 students were wear spirit wear in assembly
as like type we can solve for any number of students who were in assembly . like if there is 500 student the we can do like 500*.03 = 150 students.
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-Common Core Math I A: P CR 46.27
Using Function Noiation
Try it
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statement.
f(3) is
0
0
3
3
-1
9
→ 9
What is f
Answer:
The answer to f is 9 hope this helps can you make me answer brianlest
Round 0.21 to the nearest whole number.
Answer:
0
Step-by-step explanation:
.21 is closer to 0 than to 1
After rounding to the nearest whole number, we get;
⇒ 0
We have to given that;
A number is,
⇒ 0.21
And, Round 0.21 to the nearest whole number.
Since, We know that;
Whole numbers are defined from 0 to infinity.
Here, Number is, 0.21
Which is written as,
⇒ 0 < 0.21 < 1
Hence, 0.21 is closer to 0.
So, After rounding to the nearest whole number, we get;
⇒ 0
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5. Danny spent $24 on snickers and M&M's. Snickers cost $2 and M&M's cost $3. The number of snickers is 3
less than the number of M&M's. How many Skittles and M&M's did he buy?
Answer:
My guy didnt buy no skittles cause he spent all his money on Snickers and M&M's
Step-by-step explanation:
PLEASE AWNSER WILL MARK BRAINLIEST
Answer:
quadratic functiony-intercept: y = -6x-intercepts: x = 2 and x = 6y = 2, x = 4y ≥ 0Step-by-step explanation:
The given graph is a parabola and so it a quadratic function.
The y-intercept is the point at which the curve crosses the y-axis.
From inspection of the graph, this is when y = -6.
The x-intercepts are the points at which the curve crosses the x-axis.
From inspection of the graph, the x-intercepts are x = 2 and x = 6.
The vertex is the turning point of the graph, so the minimum point of a parabola that opens upwards, and the maximum point of a parabola that opens downwards.
From inspection of the graph, the vertex is at (4, 2), so the greatest value of y is y = 2, and it occurs when x = 4.
The curve is above the x-axis between the interval x = 2 and x = 6.
Therefore, the function value is equal to zero or positive in this interval.
So the function value in the given interval is y ≥ 0.
Graph is parabola
It's quadratic functionY inetercept is the point where the curve crosses y axis
y inetercept is -6X inetercepts are the points crossing x axis
x=6,x=2As it's parabola opening downwards vertex is maximum
Vertex is (4,2)So max value of y is 2
The function is present in Q1 when x is in interval [2,6]y≥0
Dorian posted two online videos on the same day.
The total number of views for Video A after t days can be modeled by the equation v = 12t.
The total number of views for Video B after t days is shown by the graph. Which statement is true?
Answer: the answer is (The rate of change for the function for video A is constant, but the rate of change for video B is not constant.) So C.
Step-by-step explanation: We’re in the same class and I got this question right so your welcome :)
Rockies flower shop deposited checks and cash in the amount of 2452.60 on Friday.on Monday the bank called to say that one of the checks had been returned. If the check was for $45.87, what was the actual deposit on Friday?
2452.60-45.87=$2406.73
g the correlation between two variables a and b is .10 with a p value of .01 what should we conclude
We can conclude that there is a statistically significant correlation between the two variables, a and b. The correlation coefficient is .10, which indicates a weak positive relationship.
A correlation coefficient of .10 indicates that there is a weak positive relationship between the two variables, a and b. A p-value of .01 indicates that the correlation between the two variables is statistically significant, meaning that it is unlikely to be due to chance. This suggests that there is a real relationship between the two variables, even though it is weak.
To calculate the correlation coefficient, you can use the formula where x and y are the two variables in question. In this case, the correlation coefficient is .10. This can be determined by plugging in the values for x and y and doing the necessary calculations.
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Help me please pretty please!!
The world-record time for the 100 m dash is approximately 10 s. given this, is it reasonable to expect brady to be able to run fast enough to achieve brady's leap?
No, it is not reasonable to expect Brady to be able to run fast enough to achieve Brady's leap.
The world-record time for the 100 m dash is a benchmark used to measure the speed and agility of elite athletes. With a time of approximately 10 s, it represents an exceptional level of sprinting performance. Brady's leap, on the other hand, may require an even higher level of speed and athleticism.
While individual capabilities can vary, it is unlikely that Brady would possess the necessary speed to achieve such a leap, making it unreasonable to expect that level of performance based on the world-record time.
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