The algebraic expression representing 6 added to x is given as follows:
x + 6.
How to obtain the algebraic expression?The sentence in the context of this problem is given as follows:
"If x is a number, the number added do 6 is given by".
The number is given as follows:
x.
The addition by 6 means that the number 6 is added to the variable x, as follows:
x + 6.
Which is the algebraic expression.
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The exact solution to the equation e−5x+1=2
is
Answer:
.343656
Step-by-step explanation:
e-5x+1=2
Subtract the 1 to the other side.
e-5x=1
Subtract e to the other side (e is approximately 2.718)
-5x=-1.718
Divide by -5.
x=.343656
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5,7 years With a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 57 children begin reading what would be the mean of the sampling distribution of sample means? Round to two decimal places if necessary
By the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.
Since, The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation σ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ / √n.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The mean for the entire population is 5.7 years.
So, by the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.
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solve question 5 please
The value of all the expression which have x = 5 asymptotes are,
⇒ g (x) = 3 log (x - 5)
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ f (x) = (3x + 20) / (x - 5)
We have to given that,
All the expressions are,
⇒ g (x) = 3 log (x - 5)
⇒ f (x) = √(x - 5) + 2
⇒ h (x)= eˣ⁻⁵
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ h (x) = - ∛(x - 5) + 1
⇒ f (x) = (3x + 20) / (x - 5)
Now, We can check all the expressions for which have x = 5 asymptotes.
Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,
⇒ g (x) = 3 log (x - 5)
Substitute x = 5;
⇒ g (x) = 3 log (5 - 5)
⇒ g (x) = 3 log (0)
Which is undefined.
⇒ f (x) = √(x - 5) + 2
Substitute x = 5;
⇒ f (x) = √(5 - 5) + 2
⇒ f (x) = 2
Which is defined.
⇒ h (x)= eˣ⁻⁵
Substitute x = 5;
⇒ h (x)= e⁻⁵
Which is defined.
⇒ g (x) = log₁₀ (- x + 5) - 4
Substitute x = 5;
⇒ g (x) = log₁₀ (- 5 + 5) - 4
⇒ g (x) = log₁₀ (0) - 4
Which is undefined.
⇒ h (x) = - ∛(x - 5) + 1
Substitute x = 5;
⇒ h (x) = - ∛(5 - 5) + 1
⇒ h (x) = 1
Which is defined.
⇒ f (x) = (3x + 20) / (x - 5)
Substitute x = 5;
⇒ f (x) = (3x + 20) / (5 - 5)
⇒ f (x) = (15 + 20) / (0)
Which is undefined.
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What are the x-intercepts of the quadratic function? (1 point)
parabola going down from the left and passing through the point negative 3 comma 0 then going to a minimum and then going up to the right through the points 0 comma negative 6 and 2 comma 0
(0, −3) and (0, 2)
(0, −6) and (0, 6)
(−3, 0) and (2, 0)
(−6, 0) and (6, 0)
Answer:
The x-intercepts are (-3, 0) and (2, 0).
Write the polynomial as the product of linear factors and list all the zeros of the function:
f(x) = x^4 - 16
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Therefore
[tex]f(x)=x^4-16\\f(x)=(x^2-4)(x^2+4)\\f(x)=(x-2)(x+2)(x^2+4)[/tex]
[tex](x-2)(x+2)(x^2+4)=0\\x=2 \vee x=-2[/tex]
With a full tank of gas, you can drive 455 miles and your car can go 24 miles per gallon. Write an equation to model this situation (use m for miles you can drive and g for gallons used from the tank).
Estimate 94.44 + 65.392 by first rounding each number to the nearest whole number.
What is the area of the rectangle part of the shape below?
Answer:
The Answer is 80√3 or 138.56 to 2d.p
Step-by-step explanation:
sin 60=L/8
L=sin60×8
L=4√3
Area of rectangle =L×W
A=20×4√3
A=80√3=138.56 to 2d.p
2. The amount of a radioactive element at time t is given by the formula A(t)= A0ekt, (1) where A(0)= A0 is the initial amount of the element and k < 0 is the constant of proportionality which satisfies the equation (instantaneous rate of change of A(t) at time t) = kA(t). Iodine–131 is a commonly used radioactive isotope used to help detect how well the thyroid is functioning. Suppose the decay of Iodine–131 follows the model given in Equation (1), and that the half–life of Iodine–131 is approximately 10 days. If 5 grams of Iodine– 131 is present initially, find a function which gives the amount of Iodine–131, A, in grams, t days later, and then after 20 days.
The function that gives the amount of Iodine-131, A, in grams, t days later is A(t) = 5(1/2)^(t/10), and the amount after 20 days is 5/4 grams.
To find the function that gives the amount of Iodine-131, A, in grams, t days later, we can use the given formula A(t) = A0e^(kt).
Given that the half-life of Iodine-131 is approximately 10 days, we know that after each 10-day period, the amount of Iodine-131 will be reduced by half. This information allows us to determine the value of k.
Let's substitute the initial values into the equation:
A(0) = A0 = 5 grams.
We know that after 10 days, the amount is reduced by half. Therefore:
A(10) = 5/2 grams.
Using these two points, we can solve for k:
5/2 = 5e^(10k).
Dividing both sides by 5, we get:
1/2 = e^(10k).
Take the natural logarithm (ln) of both sides:
ln(1/2) = 10k.
Now, solve for k:
k = ln(1/2) / 10.
Now that we have the value of k, we can use it to find the function for the amount of Iodine-131, A, in grams, t days later.
The function is:
A(t) = A0e^(kt).
Substituting the known values:
A(t) = 5e^((ln(1/2)/10)t).
Simplifying:
A(t) = 5(1/2)^(t/10).
To find the amount of Iodine-131 after 20 days, we substitute t = 20 into the equation:
A(20) = 5(1/2)^(20/10).
A(20) = 5(1/2)^2.
A(20) = 5(1/4).
A(20) = 5/4 grams.
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Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
96 in.
60 in.
10 in.
5 in.
Answer: 60 in.
Chain of Thought Reasoning:
Step 1: P = 2L + 2W
Step 2: 18 = 2L + 2(4)
Step 3: 18 = 8 + 2L
Step 4: 10 = 2L
Step 5: 5 = L
Step 6: Convert feet to inches: 1 foot = 12 inches
Step 7: 5 feet = 5 * 12 inches
Step 8: 5 feet = 60 inches
Therefore, the length of the rectangular yard is 60 inches.
Which equation represents a horizontal line? A.y=x+1 b. X=2 c.x=y+2 d. Y=2
Answer: d. Y=2
Step-by-step explanation:
PLEASE HELP
Which of the following graphs shows an angle that would have an equivalent cosine ratio to the graph shown?
Answer: 150 deg
Step-by-step explanation:
cosine is negative in quadrants 2 and 3. the current angle, 210, is in quad 3. It will have an equal cosine value in quad 2.
that angle will be -210 degrees. in positive terms that is 360-210 = 150 degrees.
thus the answer which shows 150 degrees is correct.
in general:
[tex]cos(x) = cos(-x)[/tex]
EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
In the following probability distribution, the random variable
represents the number of activities a parent of a 6th-8th grade student is involved in.
Please round to 2 decimal places for a-c, 3 decimal places for the probability in part d.
X 0 1 2 3 4
P(X) 0.053 0.117 0.258 0.312 0.26
a) Compute and the mean,
, of the random variable
.
2.610
Correct
b) Compute the variance,
, of the random variable
.
c) Compute the standard deviation,
, of the random variable
.
1.14
Correct
d) What is the probability that a randomly selected student has a parent involved in 4 activities?
a) The mean of the random variable is 2.610 (rounded to 2 decimal places).
b) The variance of the random variable is 1.880 (rounded to 3 decimal places).
c) The standard deviation of the random variable is 1.372 (rounded to 3 decimal places).
d) The probability that a randomly selected student has a parent involved in 4 activities is 0.260 (rounded to 3 decimal places).
To compute the variance of the random variable, we need to calculate the squared deviation of each value from the mean, weighted by their respective probabilities, and then sum them up.
b) Variance [tex](\sigma^2)[/tex] of the random variable:
Variance is given by the formula[tex]Var(X) = \sum [(X - \mu)^2 \times P(X)],[/tex] where X represents the values of the random variable, μ is the mean, and P(X) is the probability.
Using the given data:
X: 0 1 2 3 4
P(X): 0.053 0.117 0.258 0.312 0.26
μ (mean): 2.610
Calculating the squared deviations for each value:
[tex](0 - 2.610)^2 \times 0.053 = 14.152[/tex]
[tex](1 - 2.610)^2 \times 0.117 = 0.291[/tex]
[tex](2 - 2.610)^2 \times 0.258 = 0.148[/tex]
[tex](3 - 2.610)^2 \times 0.312 = 0.122[/tex]
[tex](4 - 2.610)^2 \times 0.26 = 1.429[/tex]
Summing up the squared deviations:
Var(X) = 14.152 + 0.291 + 0.148 + 0.122 + 1.429 = 16.142
Therefore, the variance of the random variable is 16.142.
c) Standard deviation (σ) of the random variable:
The standard deviation is the square root of the variance.
Taking the square root of the variance calculated above:
Standard deviation (σ) = √(16.142) ≈ 4.020 (rounded to 3 decimal places)
d) Probability of a randomly selected student having a parent involved in 4 activities:
The probability of a specific value occurring in a discrete probability distribution is given by the corresponding probability value.
From the given data:
P(X = 4) = 0.26
Therefore, the probability that a randomly selected student has a parent involved in 4 activities is 0.26 (rounded to 3 decimal places).
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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3
Finding the values of the trigonometry functionsfrom the question, we have the following parameters that can be used in our computation:
The right triangle
The hypotenuse of the right triangle is calculated as
h² = 2² + 3²
When evaluated, we have
h = √13
The values of the trigonometry functions are then evaluated as
sin(θ) = 3/√13
cos(θ) = 2/√13
tan(θ) = 3/2
csc(θ) = √13/3
sec(θ) = √13/2
cot(θ) = 2/3
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Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake
(Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The
selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively.
a. Formulate the Revenue function
The revenue function for the cakes can be shown as: R(x1, x2, x3, x4, x5) = $9x1 + $12x2 + $4x3 + $5x4 + $8x5
What is revenue function?The revenue function is described as the total amount of money earned from selling a certain quantity of cakes.
We make the following
Cake 1 sold = x1
Cake 2 = x2
Cake 3 = x3,
Cake 4 = x4,
Cake 5= x5.
The revenue generated from selling each cake is:
Revenue1 = $9 * x1
Revenue2 = $12 * x2
Revenue3 = $4 * x3
Revenue4 = $5 * x4
Revenue5 = $8 * x5
Total revenue = Revenue1 + Revenue2 + Revenue3 + Revenue4 + Revenue5
Total revenue = $9 * x1 + $12 * x2 + $4 * x3 + $5 * x4 + $8 * x5
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1. A student determines that one solution to a system of quadratic-quadratic equations is (2.1).
Determine the value of n if the equations are:
4x²-my=10
mx² +ny=20
N is rounded to two decimal places so n=7.052/m = 7.052/2.8 2.52.
Take the equation set into consideration:
4x² - my = 10 --- (1)
mx² + ny = 20 --- (2)
When x = 2.1, one of the system's solutions is provided by the problem. Using this knowledge, we can change x in both equations to be 2.1. It results in:
4(2.1)2 my = 10 ---> 17.64 my = 10 ---> my = 7.64 --- (3) m(2.1)² + ny = 20 ---> 4.41m + ny = 20 --- (4)
Ascertaining n's value is necessary.
My = 7.64, as determined by equation (3).
With this number as a replacement in equation (4), we obtain:
4.41m + 7.64 = 20
(Rounded to one decimal place) 4.41m = 12.36 m = 2.8
This value of m is substituted in equation (4) to yield the following results: 2.8(2.1)2 + ny = 20, 12.948 + ny = 20.
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Mr.Blackwell’s class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 6 are purple, 3 are yellow, 7 are green, and the rest are black, what is the probability of drawing a purple and yellow if the marbles are not replaced after they are picked?
Answer:
Step-by-step explanation:
To find the probability of drawing a purple and yellow marble without replacement, we need to determine the number of favorable outcomes (purple and yellow marbles) and the total number of possible outcomes.
Step 1: Determine the number of purple marbles:
The given information states that there are 6 purple marbles.
Step 2: Determine the number of yellow marbles:
The given information states that there are 3 yellow marbles.
Step 3: Determine the total number of marbles:
The given information states that there are 25 marbles in total.
Step 4: Calculate the probability of drawing a purple and yellow marble:
When drawing without replacement, the probability of two events occurring is the product of their individual probabilities.
The probability of drawing a purple marble is: 6 purple marbles / 25 total marbles = 6/25.
After drawing a purple marble, the total number of marbles remaining is 24 (since one purple marble is already drawn).
The probability of drawing a yellow marble from the remaining marbles is: 3 yellow marbles / 24 remaining marbles = 3/24.
To find the probability of both events occurring (drawing a purple and yellow marble), we multiply their individual probabilities:
Probability of drawing a purple and yellow marble = (6/25) * (3/24) = 18/600 = 3/100.
Therefore, the probability of drawing a purple and yellow marble without replacement is 3/100.
Determine whether the
quadratic function
y=x² + 4x + 6 has
a maximum or minimum value.
Then find the value.
O maximum
minimum
The value is
Answer:
(a) The function has a minimum value
(b) The minimum value is 2
Step-by-step explanation:
(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is
y = ax^2 + bx + c.
We know that for our function a = 1.
When a > 0, the parabola opens upward and the vertex is a minimumWhen a < 0, the parabola opens downward and the vertex is a maximumThus, y = x^2 + 4x + 6 must have a minimum value.
(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.
Step 1: First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.
Plugging in 4 for b and 1 for a, we get:
x-coordinate of minimum = -4 / 2(1)
x-coordinate of minimum = -4 / 2
x-coordinate of minimum = -2
Step 2: Now we can plug in -2 for x in the quadratic function. The result will be our minimum value:
f(-2) = (-2)^2 + 4(-2) + 6
f(-2) = 4 - 8 + 6
f(-2) = -4 + 6
f(-2) = 2
Thus, the minimum value of the quadratic function is 2.
what is x, I really need help
hello
the answer to the question is:
Tan (x) = 6.7/4.9 = 1.3673 ----> x = 53.81° or 54°
in a water tank there's a depth of 9cm, imagine the tank is sealed and put onto it's side, whats the depth of the water now (photo included)
The depth of water when the tank is on its side is 4.2 cm.
We are given that;
tank measurement is 13*8*17
Now,
A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
To find the volume of water in the tank when it is upright. To do this, you multiply the depth of water by the area of the base:
Volume = Depth * Area Volume = 9 cm * (13 cm * 8 cm) Volume = 936 cm^3
This volume does not change when you put the tank on its side. However, the area of the base does change. Depending on which side you put the tank on, the area of the base will be either 13 cm by 17 cm or 8 cm by 17 cm. Let’s assume you put the tank on its longer side, so that the area of the base is 13 cm by 17 cm.
Now, you can find the depth of water by dividing the volume by the area:
Depth = Volume / Area Depth = 936 cm^3 / (13 cm * 17 cm) Depth= 4.2 cm
Therefore, by the cube answer will be 4.2cm.
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Amazon purchases an office chair for $63, and marks it up 28%.
Which equation can be used to find the selling price of the office chair?
$63 + ($63 · 0.28) = $80.64
[tex]f = p + pm[/tex] where:
[tex]f[/tex] = final price: $80.64,
[tex]p[/tex] = original price: $63,
and [tex]m[/tex] = markup percent (in decimal): 28% → 0.28.
Type the correct answer in the box. Use numerals instead of words.
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
2
3
÷
2
4
+
(
3
4
+
1
6
)
÷
1
3
The expression has a value equal to
Answer:67/24
hope it helps bye
The expression equivalent to the given numerical expression is 67/24.
The given numerical expression is 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3.
Here, 2/3 ÷ 2⁴+(3/4 +1/6)÷1/3
= 2/3 ÷ 16+(9/12 +2/12)÷1/3
= 2/3 × 1/16 +11/12 ×3/1
= 2/48 + 33/12
= 1/24 + 33/12
= 1/24 + 66/24
= 67/24
Therefore, the expression equivalent to the given numerical expression is 67/24.
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need help fast i am in a math escape room
The correct options are 1) B, 2) A and 3) D.
1) The table shows the work hour and earned money of Logan we need to build an equation to relate both the variables,
So, let the earned money be y and the hour worked be h,
So,
He worked 45 hours to earn $495,
So, in one hours he earned = $495/45 = $11
Therefore, the equation that relate both the variables is,
y = 11h
2) To represent the amount Mr. Kelly pays per month; we can divide the total rent paid for the year by the number of months.
So, if his yearly rent is $12564, so per month he must be paying =
12564 / 12 = $1047
Therefore, the equation that represents the amount Mr. Kelly pays per month is: 1047m = c
3) The relation given shows the quantity of apples bought to its corresponding cost,
So, considering the point (4, 10) by which the graph passes,
So, this mean that, 4 pounds of apple cost $10,
So, 1 pound = 10/4 = $2.5
Hence the cost per pound is $2.5.
Hence the answers are 1) B, 2) A and 3) D.
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) Assume that a simple random sample has been selected from a normally distributed population and test the given claim at α = 0.05. State the claim mathematically. Identify the null and alternative hypotheses, test statistic, critical region(s), and the decision regarding the null hypothesis. State the conclusion that addresses the original claim. A local group claims that police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select two weeks. Their research yields the number of tickets issued for each day. The data are listed below. 70 48 41 68 69 55 70 57 60 83 32 60 72 58
We cannot conclude that there are more than 70,000 defined words in the dictionary.
To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:
Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.
Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.
So, sample mean
= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10
= 510 / 10
= 51.0
and, the sample standard deviation (s)
= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]
≈ 16.23
Next, we calculate the test statistic using the formula:
test statistic = (x - μ) / (s / √n)
In this case, μ = 48.0, s ≈ 16.23, and n = 10.
test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34
With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.
Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.
Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.
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Find the circumference
The circumference of the circle is 88 units given the radius 14 units
What is Circumference of a circle?Circumference of a circle is the measurement of the boundary of the circle or the path or the boundary that surrounds the shape. It is also called Perimeter of a circle.
Howto determine this
Given the radius of the circle = 14
Circumference of a circle = 2πr
Where π = 22/7
Circumference of circle = 2 * 22/7 * 14
Circumference of circle = 44/7 * 14
Circumference of circle = 616/14
Circumference of circle = 88 units
Therefore, the Circumference of circle is 88 units
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100 Points! Algebra question. Sketch the angle. Then find its reference angle. Show your calculations. Photo attached. Thank you!
Answer:reference angle shoudl be 156 degrees srry if im wrong :)
Step-by-step explanation:
The table shows the mass of four packages. What is the total mass of the packages?
Answer:
hello
the answer is:
total mass = 3.94 + 14.81 + 11.27 + 7.65 = 37.65 kg
What is the radius of a sphere with a volume of 32398 cm 3 ,to the nearest tenth of a centimeter?
The radius of a sphere with a volume of [tex]32398 cm^ 3[/tex] ,to the nearest tenth of a centimeter is [tex]r=21.1cm[/tex]
How can the radius of a sphere be calculated?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. A sphere is formally defined as a collection of points in three-dimensional space that are all located at the same distance, or r, from a given point.
The formula for the volume of a sphere is [tex]V = 4/3 \pi r^3[/tex]
V = volume
r = radius
Given [tex]32398 cm^ 3[/tex]
[tex]V = 4/3 \pi r^3[/tex]
[tex]32398 = 4/3 \pi r^3[/tex]
[tex]r^3 = \frac{ 32398 }{\frac{4\pi }{3} }[/tex]
[tex]r = \sqrt[3]{9393.931}[/tex]
[tex]r=21.1cm[/tex]
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
tan pi/6 is tan 30
Step-by-step explanation:
tan 30 is a special degree in trigonometric ratios which makes it easy to solve
tan 30=1√3 .this is the same as √3/3(B)
