eEvaluate please question in pic​​

[tex]\bf \cfrac{1}{3}~~,~~\stackrel{\frac{1}{3}(3)}{1}~~,~~\stackrel{1(3)}{3}~~,~~\stackrel{3(3)}{9}~~...\qquad \qquad \impliedby \textit{3 is the common ratio} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ r=3\\ a_1=\frac{1}{3}\\ n=10 \end{cases}\implies a_{10}=\cfrac{1}{3}\left(3^{10-9} \right) \\\\\\ a_{10}=\cfrac{1}{3}\cdot 3^9\implies a_{10}=\cfrac{1}{3}\cdot 19683\implies a_{10}=6561[/tex]

Answer:

19683

Step-by-step explanation:

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.

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.

Answer:

Step-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

Answer:

x < -4 or (-∞,-4)

Step-by-step explanation:

to solve 8x < -32, we treat the inequality symbol as an = sign and solve it like we would any other equation: get x alone

8x < -32 < divide both sides by 8 to isolate x

8x/8 = x

-32/8 = -4

x < -4 is our solution

in interval notation this can be written as (-∞, -4)

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.

-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

1062.32. that's how much he will have after 4 years

Colin will have £1,062.32 after 4 years.

Simple interest is the type of interest in which the accumulated interest amount is not taken into consideration while adding the interest.

It is given by:

SI = P*r*T/100

The amount that Colin invests is given as £980.

The rate of interest is given as 2.1%.

The amount is deposited for 4 years.

The total amount in the bank after 4 years can be given by:

Amount = P + P*r*T/100

= P(1 + 2.1*4/100)

= 980(1 + 0.084)

= 980 * 1.084

= £1,062.32

The total amount that Colin would have after 4 years is found. The Amount that Colin would have is equal to £1,062.32.

Therefore, we have found that Colin will have £1,062.32 after 4 years.

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Answer:

[tex]\large\boxed{\text{Factored Form:}\ f(x)+-(x-1)(x-5)}\\\boxed{\text{Vertex Form:}\ f(x)=-(x-3)^2+4}\\\boxed{\text{Standard Form:}\ f(x)=-x^2+6x-5}[/tex]

Step-by-step explanation:

(look at the picture)

Factored form:

[tex]f(x)=a(x-x_1)(x-x_2)[/tex]

x₁, x₂ - zeros

Vertex form:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

Standard form:

[tex]f(x)=ax^2+bx+c[/tex]

If from the vertex we go 1 unit down (up) and 1 unit left (right) and we get the point on the parabola, then a = 1.

The parabola is open down, therefore a < 0 → a = -1.

The zeros are [tex]x_1=1[/tex] and [tex]x_2=5[/tex]. Therefore the Factored Form is:

[tex]f(x)=-(x-1)(x-5)[/tex]

The vertex is V(3, 4). Therefore the vertex form is:

[tex]f(x)=-(x-3)^2+4[/tex]

Convert it to a standard form using (a - b)² = a² - 2ab + b²

[tex]f(x)=-(x^2-2(x)(3)+3^2)+4=-x^2+6x-9+4=-x^2+6x-5[/tex]

Answer:

A normal distribution

Answer:

Lin has not proven that the probability is not 1/2 because there are only two possible outcomes when flipping a coin and each side has a 50% chance of facing up. Liz flipping the coin 10 times and not getting equal results for both sides is just a random occurrence and it does not effect the 50% chance.

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.

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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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!

The answer is A B and E

Answer is all of these, A, B, and E.

Answer:

46

Step-by-step explanation:

I went to google.

Search up 20% of 230,

got 46 lol

If there is an aquarium containing 230 fish, 20% are angelfish, then there are 46 angelfish in the aquarium.

To find the number of angelfish in the aquarium, we first need to calculate 20% of 230, as the given percentage represents the proportion of angelfish in the total fish population.

Calculate 20% of 230

To find 20% of a number, we multiply the number by 0.20 (which is the decimal equivalent of 20%).

20% of 230 = 0.20 * 230

= 46

Determine the number of angelfish

Now that we know that there are 46 angelfish in the aquarium, we have successfully answered the question.

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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]

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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Answer:

Amplitude =1

Step-by-step explanation:

Given function is [tex]y=1\cdot\sin\left(2x\right)[/tex].

Now we need to find about what is the amplitude of the given function [tex]y=1\cdot\sin\left(2x\right)[/tex].

To find that let's compare given equation [tex]y=1\cdot\sin\left(2x\right)[/tex] with standard equation [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex]. We get:

a=1

We know that amplitude of the function [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex] is given by the value of |a|.

Hence amplitude of the given function = |a|= |1|=1

I think the answer is 52.5.

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:

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

the answer would be 0.08333… or 1/12

(from my own work it would be ,I'm not saying its right or wrong though)

The probability that Terry randomly chooses an outfit with black pants and a yellow shirt is 1 out of 12, calculated by dividing the number of favorable outcomes (1) by the total possible outcomes (12).

The question revolves around basic probability. Terry has three pairs of pants and four shirts, meaning there are a total of 3 x 4 = 12 possible outfits. Since only one outfit consists of black pants and a yellow shirt, the probability of selecting this combination is therefore 1 out of 12.

The formula used to calculate this probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome (black pants with a yellow shirt) is just one, and the total number of possible outfits is twelve.

Sum of 8 and 12 = 8+12=20

20/4 = 5

boom, 5 is the answer

M has one line of symmetry!

Hope it helped!

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]

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

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]

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

Answer:the answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

5x² + 40x - 100

To find the zeros equate to zero, that is

5x² + 40x - 100 = 0 ( divide all terms by 5 )

x² + 8x - 20 = 0

To factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)

The factors are + 10 and - 2, since

10 × - 2 = - 20 and 10 - 2 = + 8, thus

(x + 10)(x - 2) = 0

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 2 = 0 ⇒ x = 2

Zeros are x = - 10 and x = 2 → B

Answer:

are u a girl

Step-by-step explanation:

Answer:

-5(-2x2)-3(-2)=26

Answer:

[tex]f(x)=3x^3+x^2+3x+1[/tex]

Step-by-step explanation:

If a real number [tex]-\frac{1}{3}[/tex] is a zero of polynomial function, then

[tex]x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}[/tex]

is the factor of this function.

If a complex number [tex]-i[/tex] is a xero of the polynomial function, then the complex number [tex]i[/tex] is also a zero of this function and

[tex]x-(-i)=x+i\ \text{ and }\ x-i[/tex]

are two factors of this function.

So, the function of least degree is

[tex]f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)[/tex]

If the polynomial function must be with integer coefficients, then it has a form

[tex]f(x)=3x^3+x^2+3x+1[/tex]