Answer:
A.
The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
Step-by-step explanation:
A geometric sequence, with a first term a and common ratio r, is generally represented as;
[tex]a,ar,ar^{2},ar^{3},ar^{4},............ar^{n}[/tex]
The first term refers to the first number that appears in the sequence. The common ratio is the constant that multiplies a preceding value to obtain the successive one. That is, to obtain [tex]ar^{2}[/tex] from [tex]ar[/tex] we multiply [tex]ar[/tex] by the common ratio r.
In the table given the y-values are as follows;
4, -9.6, 23.04, -55.296
To obtain the common ratio we simply divide each value by the preceding one;
(-9.6)/4 = -2.4
23.04/(-9.6) = -2.4
(-55.296)/23.04 = -2.4
Since the sequence of numbers has a common ratio then it qualifies to be a geometric sequence. Thus, the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
Answer:
The table represents a geometric sequence because the successive y-values have a common ratio of -2.4
Solve the system using substitution. Show all work.
y = x - 5
3x - y = 7
Solve the system using the Linear Combination Method. Show all work.
2x + 2y = 12
3x + y = 2
SHOW ALL WORK AND STEPS Please. The Teacher will not grade fully and give a failing grade without showing steps and all work.
And Don't be a freaking troll as I will report you for trolling with short improper answers.
Here is the answer I hope it helps
will give brainiest Please help me!!
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
Answer
1/12
3/8
4/6
reduce them there are three answers
Answer:
1/36
Step-by-step explanation:
There are 6 sides on each dice.
Total number of possible combinations
= 6 x 6
= 36
Possible combinations that have a sum of 2
= (1, 1)
Total number of combinations that will give a sum of 2
= 1
P(of rolling a sum of 2)
= 1/36
Plz help easy math !!
The answer is A B and E
Answer is all of these, A, B, and E.
Please, help!!!!! ASAP!!!
It's triangle JKL.
Answer:
Step-by-step explanation:
first look at all the equation and solve them. When you get the all of there answer then divide the answers by the sides. And then you will find your answer!
Given: m∠MEJ=16°, Measurement of Arc MJ =5 * Measurement of Arc KL, Find: Measurement of Arc KL
Answer:
The measurement of arc KL is [tex]8\°[/tex]
Step-by-step explanation:
Let
x--------> the measure of arc KL
y-------> the measure of arc MJ
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]
we have
[tex]m<MEJ=16\°[/tex]
[tex]y=5x[/tex]
substitute the given value
[tex]16\°=\frac{1}{2}(5x-x)[/tex]
[tex]32\°=(4x)[/tex]
[tex]x=8\°[/tex]
therefore
The measurement of arc KL is [tex]8\°[/tex]
80 divided by 70 plus 90 x 200 divided by 5
Answer:
3601 1/7Step-by-step explanation:
First operation:
multiplication and division
Second operation:
addition
80 divided by 70 → 80 : 70 = 8/7
90 x 200 = 18000
90 x 200 divided by 5 → 18000 : 5 = 3600
80 divided by 70 plus 90 x 200 divided by 5 → 8/7 + 3600
1 1/7 + 3600 = 3601 1/7
simplify without the absolute value
|x+3| ; if x=2
After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.
To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.
Therefore, |2 + 3| simplifies to 5.
A sports ball has a diameter of 16cm. Find the volume of the ball
Diameter d=16cm
d=r/2=8cm
Volume V(sphere)=4/3*pi*r^3
Therefore volume V=2145.52 cm^3
Hope this helps!
Answer:
The volume of ball = 2143.57 cm³
Step-by-step explanation:
Formula:-
Volume of sphere = (4/3)πr³
Where 'r' is the radius of sphere
To find the volume of ball
Here diameter of ball = 16 cm
Radius r = Diameter/2 = 16/2 = 8 cm
Volume = (4/3)πr³
= (4/3) * 3.14 * 8³
= 2143.57 cm³
Therefore volume of given ball is 2143.57 cm³
whats the slope. review but i forgot (//_^)
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)
m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
2.4cm is the tangent of A
Final answer:
The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.
Explanation:
If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.
Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:
tan(A) = X / Y = 10 cm / 24 cm
Calculating this gives us:
tan(A) ≈ 0.4167
Therefore, the tangent of angle A is approximately 0.4167.
Determine the vertex of the function f(x)= -4(x-3)^2+6
Answer:
The vertex is the point (3, 6)
Step-by-step explanation:
For a quadratic function [tex]ax ^ 2 + bx + c[/tex] its vertex form is:
[tex]y = a (x-h) ^ 2 + k[/tex]
Where
a is the main coefficient
h is the x coordinate of the vertex
k is the cordage y vertice
Therefore, for a function in this way the vertex will always be the point (h, k)
Notice that for the function
[tex]f (x) = -4 (x-3) ^ 2 + 6\\\\a = -4\\\\h = 3\\\\k = 6[/tex]
Then the vertex is the point (3, 6)
Answer:
(3, 6)
Step-by-step explanation:
Since the question is in y = 1(x-h)^2 +k form and you just put the opposite sign for h making it from 3 to -3.
So far we got x as 3.
and for Y you have k which is 6 so you final answer would be (3,6)
Brainiest would be appreciated.
A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?
Answer:
The area of the circle is [tex]9\pi \ units^{2}[/tex]
Step-by-step explanation:
we know that
A circle has a sector with area [tex]3\pi/2[/tex] and central angle of 60 degrees
The area of a complete circle subtends a central angle of [tex]360\°[/tex]
so
using proportion
Find the area of the circle
[tex]\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}[/tex]
Answer:
[tex]A = 9\pi[/tex]
Step-by-step explanation:
The total area of the circle is determine by simple rule of three:
[tex]A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)[/tex]
[tex]A = 9\pi[/tex]
Need help on how to do number 20
Answer:
J is correct
Step-by-step explanation:
You need to simplify top as
[tex](27m^{12}n^3 )(2m^2n^5p)=54m^14n^8p[/tex]
Then can easily see the correct answer is J.
Answer:
Step-by-step explanation:
which statement is true about the value of the expression below (-2^3)^-2
1. it is between 0 and 1.
2. it is greater than one
3. it is less than -1
4. it is between -1 and 0
-2^3 will be -8 (we know it certainly)
(-8)^-2 =( 1/(-8) )^2 then we know , when we have power 2 for parentheses,can ignore the negativity : 1/64 and we know 0<1/64<1
So 1 is correct!!
Answer:it is between 0 and 1
Step-by-step explanation:
PLEASEEEEE HELP ASAP WILL MARK BRAINIEST
Create a two-way table of the data. Of the students who were surveyed, how many were girls? How many boys liked summer?
Create a two-way relative frequency table that displays the relative frequency of the boys and girls and the season they liked best. Express your answers as fractions and then change them to decimals rounded to 2 decimal places as needed.
What percentage of girls liked winter? Show your work.
Answer:
Step-by-step explanation:
2 I think?
40% of girls liked winter.
A two-way relative frequency table was then constructed, turning the frequencies into fractions and subsequent decimals. Lastly, it was determined that 40% of girls liked winter.
To create a two-way table from the given data, we can categorize the students by gender and preferred season. Here’s how the table would look based on the information provided:
Summer
Winter
Boys
4
4
Girls
3
2
From this table, we can see that there are 5 girls and 4 boys who liked summer. To create a two-way relative frequency table, divide each entry by the total number of students, which is 12:
Summer
Winter
Boys
4/12 (0.33)
4/12 (0.33)
Girls
3/12 (0.25)
2/12 (0.17)
To find the percentage of girls who liked winter, we divide the number of girls who liked winter by the total number of girls and multiply by 100:
[tex](\frac{2}{5}) \times 100 = 40\%[/tex]
what sum 0.834,0.08 0.00034, and 0.8003
Answer:
1.72364
Step-by-step explanation:
For this case we must indicate the sum of the following decimal expressions:
[tex]0.834\\0.08\\0.00034\\0.8003\\----\\1.71464[/tex]
We add from right to left keeping the order, or we can also enter the expressions in a calculator.
Answer:
1.71464
Joe's mom gave him $40 for cutting their grass. He used the money to buy a $10.75 game and snacks that cost $3.25 each. Joe also bought a bouquet of flowers for his mom. If Joe came home with 1/4 of the money his mom gave him, how much did the flowers cost
Answer:
The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol
Step-by-step explanation:
If BCDE is congruent to OPQR, then BE is congruent to
Answer:
OR
Step-by-step explanation:
Answer:
Step-by-step explanation:
In simple language, two things are said to be congruent if they overlap each other i.e they have same size and shape. Angles are said to be congruent if they have same measure. Sides are congruent if they have same length .
We say that two triangles are said to be congruent if there is one to one correspondence between their angles and side.
Here, it's given that BCDE is congruent to OPQR i.e there is one to one correspondence between their sides and angles i.e
[tex]B\leftrightarrow O\,,\,C\leftrightarrow P\,,\,D\leftrightarrow Q\,,\,E \leftrightarrow R[/tex]
So, BE is congruent to OR .
Find an explicit formula for g(n)?
Answer:
g(n) = 11n
Step-by-step explanation:
Note that the values of g(n) are 11 times the corresponding values of n
Hence
g(n) = 11n
Evaluate -5x2-3x for x= -2.
Answer:
are u a girl
Step-by-step explanation:
Answer:
-5(-2x2)-3(-2)=26
Please help me anyone one, please
Answer:
Step-by-step explanation:
Be sure to insert π where appropriate!
If the diameter of the yo-yo is 4 in, then the radius is 2 in.
The area comes from A = πr² and the circumference from C = πd.
In this case the area is A = π(2 in)² = 4π in² or 12.57 in².
The circumference is C = 4π in or 12.57 in.
please help me...
Problem:
The standard form of a circle is (x-h)2+(y-k)2=r2 and vertex form for the parabola, y-k=a(x-h)2. The (h,k) pair is the center of the circle and the vertex of the parabola. The radius of the circle is ‘r’ and the focal length of the parabola is f=1/(4a). For the following General Conic Equation: x2+y2-2x-4y-4=0 complete the following problems showing all your work:
A. Complete the square showing all your work to convert to Standard Form:
B. If this is a circle, state the coordinates of the center and give the radius. If this is a parabola, then state the coordinates of the vertex and give the focal length. Show all your work.
C. Sketch (or plot, or graph) the Conic. Label the point and values you found in part B. Also label the top-most, bottom-most, right-most, and left-most points on the circle or the focus and directrix on the parabola.
Answer:
Part A) [tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]
Part B) The coordinates of the center are [tex](h,k)=(1,2)[/tex] and the radius is equal to [tex]r=3\ units[/tex]
Part C) The graph in the attached figure
Step-by-step explanation:
we have
[tex]x^{2} +y^{2}-2x-4y-4=0[/tex]
Part A) Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex](x^{2}-2x) +(y^{2}-4y)=4[/tex]
Complete the square twice. Remember to balance the equation by adding the same constants to each side
[tex](x^{2}-2x+1) +(y^{2}-4y+4)=4+1+4[/tex]
[tex](x^{2}-2x+1) +(y^{2}-4y+4)=9[/tex]
Rewrite as perfect squares
[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex] ------> Is a circle
Part B) If this is a circle, state the coordinates of the center and give the radius.
we know that
The equation of the circle in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center
r is the radius
In this problem we have
[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]
therefore
The coordinates of the center are [tex](h,k)=(1,2)[/tex]
The radius is equal to [tex]r=3\ units[/tex]
Part C) Plot the circle
using a graphing tool
see the attached figure
The weather report shows the 5 day forecast in st.paul,minnesota.What is the sum of the various temperatures over the five day?
Answer:-2
Step-by-step explanation:
The sum of temperatures over five days in St. Paul, Minnesota would be calculated by adding the individual temperatures of each day together. If any temperatures are negative, it would decrease the total sum.
Explanation:To find the sum of the various temperatures over the five days in St. Paul, Minnesota, you need to know the specific temperatures for each day. Assuming we have those temperatures, let's say they are 20°C, 22°C, 19°C, 21°C, and 23°C. You simply add these temperatures together: 20 + 22 + 19 + 21 + 23. The total would be 105°C for the five days. This is a basic mathematical operation, summarizing data by adding them together. Note: If any of the temperatures were negative (like -5°C), this would decrease the sum because you would be essentially subtracting that value.
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Find the difference 3/4 - 5/8.
-Hello There-
If We Subtracted 5/8 From 3/4 We Would Have A Difference Of 1/8
Have A Great Day!
Answer:
The difference between 3/4 and 5/8 is 1/8
which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2
Answer:
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
The given function is
[tex]g(x)=x^2-576[/tex]
When we equate the function to zero, we obtai;
[tex]x^2-576=0[/tex]
Use difference of two squares:
[tex]x^2-24^2=0[/tex]
[tex](x-24)(x+24)=0[/tex]
Use the zero product property to obtain;
[tex]x-24=0,\:and\:x+24=0[/tex]
This implies that;
[tex]x=24,\:and\:x=-24[/tex]
The correct choice is C
Answer:
The zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
The coordinates of the center are (0,4) and the radius is 5.
Write an equation to solve the circle in standard form.
Answer:
x² + (y - 4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (0, 4) and r = 5, hence
x² + (y - 4)² = 25 ← in standard form
Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of a sample means x. A.) As the sample size becomes increasingly large, what distribution does the x distribution approach?
Answer:
A normal distribution
A scientist is performing an experiment with a certain type of mold which is spreading every quarter of an hour. The function below represents the area covered by the mold after t hours.
The area covered by mold ___ by ___ % ___.
first blank: decreases, increases
second blank: 104, 4, 17, 8
third blank: every 15 minutes, every hour, every 4 minutes, every 30 minutes
fill in each blank with one of the options. Thank you!!
Answer:
"The area covered by mold increases by 4 % every 15 minutes."
Step-by-step explanation:
Since the mold is "spreading", the area is obviously, increasing.
By how much???
We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.
Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.
An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.
To complete the statement:
The area covered by mold increases by 4 % every 15 minutes.
Answer:
i believe its every hour not 15 minutes
Step-by-step explanation:
Divide the sum of 8 and 12 by 4
Sum of 8 and 12 = 8+12=20
20/4 = 5
boom, 5 is the answer
Which geometric series converges ? I still don’t understand . Can someone explain the answer and WHY !
Answer:
B
Step-by-step explanation:
A geometric series will only converge if the common ratio r meets the requirement
- 1 < r < 1
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
All terms inside the summation are of this form
The only one with - 1 < r < 1 is B where r = [tex]\frac{3}{4}[/tex] = 0.75
The series with the common ratio 2/3 and 3/4 converge. That is option A. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex] and option B. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
How did we arrive at these assertions?To determine whether a geometric series converges or diverges, we need to examine the common ratio (r) of the series. A geometric series converges if the absolute value of the common ratio is less than 1 (|r| < 1). It diverges if the absolute value of the common ratio is greater than or equal to 1 (|r| ≥ 1).
Let's analyze each series:
1. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex]
The common ratio in this series is 4/6, which simplifies to 2/3. Since |2/3| < 1, this series converges.
2. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
The common ratio in this series is 3/4. Again, |3/4| < 1, so this series also converges.
3. [tex]sum n = 1 to ∞ 3 * (7/5)^(n-1)[/tex]
The common ratio in this series is 7/5. However, |7/5| > 1, which means the series diverges.
4. [tex]sum n = 1 to ∞ 1/9 * (1)^(n-1)[/tex]
The common ratio in this series is 1. Since |1| ≥ 1, this series also diverges.
In summary:
- The series with the common ratio 2/3 and 3/4 converge.
- The series with the common ratio 7/5 and 1 diverge.
The reason behind this is that when the absolute value of the common ratio is less than 1, each subsequent term in the series becomes smaller and smaller. As a result, the sum of the series approaches a finite value. Conversely, if the absolute value of the common ratio is greater than or equal to 1, the terms in the series do not decrease enough, causing the sum to increase without bound, leading to divergence.
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