Answer:
Let's call the two numbers x and y.
From the problem statement, we know that:
x + y = 29 (Equation 1)
4x - y = 6 (Equation 2)
We can solve for one variable in terms of the other by rearranging Equation 1:
y = 29 - x
Substitute this expression for y in Equation 2 and solve for x:
4x - (29 - x) = 6
5x - 29 = 6
5x = 35
x = 7
Now that we know x = 7, we can use Equation 1 to solve for y:
x + y = 29
7 + y = 29
y = 22
Therefore, the two numbers are 7 and 22.
Answer:
the two numbers are x = 7.2 and y = 21.8.
Step-by-step explanation:
Let's call the first number x and the second number y. We can set up two equations based on the information given:
x + y = 29 (equation 1)
4x - y = 6 (equation 2)
We can use these two equations to solve for x and y.
To do so, we can use the method of substitution. Solving equation 1 for x, we get:
x = 29 - y
We can then substitute this expression for x into equation 2:
4(29 - y) - y = 6
Simplifying and solving for y:
116 - 4y - y = 6
115 - 5y = 6
-5y = -109
y = 21.8
So one of the numbers is y = 21.8. To find the other number, we can substitute this value back into equation 1:
x + 21.8 = 29
x = 7.2
Therefore, the two numbers are x = 7.2 and y = 21.8.
For a ride on a rental scooter, Deandre paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for Deandre's ride was $17.43. For how many minutes did Deandre ride the scooter?
Answer:
1.49 minutes
Step-by-step explanation:
Let the number of minutes be x.
Deandre paid $17.43 for $7 to start and 7 cents per minute.
Mathematically,
7x+7=17.43
7x= 17.43-7
7x = 10.43
∴ x = 10.43/7
x = 1.49 minutes.
Hope this helps! :)
Help immediately please!! Lots of points :)
The quotient gives (f/g)(4) = -16/3 and the value that is not in the domain is x = 1.
How to find the quotient between the functions?Here we know that:
f(x) = (x + 4)(x - 6)
g(x) = x - 1
And we want to find the quotient between these functions:
(f/g)(4)
So first let's find the values of the functions when x = 4.
f(4) = (4 + 4)*(4 - 6) = 8*-2 = -16
g(4) = 4 - 1 = 3
Then the quotient is:
(f/g)(4) = -16/3
Now, the values that are not in the domain of f/g are the values that make the denominator equal to zero, because we can't divide by zero.
g(x) = 0 = x - 1
1 =x
The denominator is zero for x = 1, so that value is not in the domain.
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The parent square root function, f, is transformed to create function g.
g(x)=√x + 3 - 4
Which statement is true?.
OA. The graph of f is translated 3 units to the left and 4 units down.
OB.
The graph of f is translated 4 units to the right and 3 units down.
O C.
The graph of fis translated 4 units to the left and 3 units up.
The graph of f is translated 3 units to the right and 4 units up.
OD.
Step-by-step explanation:
The parent square root function is given by f(x) = √x. The function g(x) is obtained by applying the following transformations to the parent function:
Shift the graph 3 units to the left: f(x+3)
Shift the graph 4 units down: f(x+3)-4
Add a constant 3: f(x+3)-4+3 = f(x+3)-1
Take the square root: g(x) = √(f(x+3)-1) = √(√(x+3)-1)
Therefore, the graph of f is translated 3 units to the left and 1 unit down to obtain the graph of g. None of the given options accurately describe the transformation, so the correct answer is option E: None of the above.
What is the binomial is a factor to this trinomial:
4x^2+20x-24
[tex]4x^2+20x-24 = 4x^2-4x+24x-24 = 4x(x-1)+24(x-1) = (4x + 24)(x-1)\\[/tex]
[tex]= 4(x+6)(x-1)[/tex]
Answer All 5 questions correctly for 50 points
{its a great deal for you cause this is 5th grade math}
Please show your work thank you :)
1.) 5 cakes are shared equally between 6 people. What fraction of a cake does each
person receive? *show your work*
2.) 3 pizzas are shared equally between 8 people. What fraction of a pizza does each person receive *show your work*
3.) 4 granola bars are shared equally between 8 people. What fraction of a granola bar does each person receive *show your work*
4.) Mary brought 12 pounds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in each pie?
5. Write each quotient as a fraction or mixed number.
Problem Quotient
4 ÷ 5 | ?
5 ÷ 4 | ?
12 ÷ 30 | ?
30 ÷ 12 | ?
Answer:
Step-by-step explanation:1.) Each person receives 5/6 of a cake.
To see why, we can think of dividing the 5 cakes into 6 equal parts. This would give us 30 equal parts, and each person would receive 5 of these parts. So, the fraction of a cake each person receives is:
5/30 = 1/6
2.) Each person receives 3/8 of a pizza.
To see why, we can think of dividing the 3 pizzas into 8 equal parts. This would give us 24 equal parts, and each person would receive 3 of these parts. So, the fraction of a pizza each person receives is:
3/24 = 1/8
3.) Each person receives 1/2 of a granola bar.
To see why, we can think of dividing the 4 granola bars into 8 equal parts. This would give us 32 equal parts, and each person would receive 4 of these parts. So, the fraction of a granola bar each person receives is:
4/32 = 1/8
1/8 ÷ 2 = 1/16
So, each person receives 1/2 of a granola bar, which is equal to 1/8 ÷ 2 = 1/16.
4.) Each pie has 2.4 pounds of blueberries.
To see why, we can divide the 12 pounds of blueberries by the 5 pies:
12 ÷ 5 = 2.4
So, each pie has 2.4 pounds of blueberries.
5.)
4 ÷ 5 = 4/5
5 ÷ 4 = 1 1/4
12 ÷ 30 = 2/5
30 ÷ 12 = 2 1/2
Answer: 1) 5/6
2) 3/8
3) 4/8 OR 1/2
4) 12/5lb OR 2 2/5lb OR 2.4lb
5) 4/5
5/4 OR 1 1/4
12/30 OR 2/5
30/12 OR 5/2 OR 2 1/2
Step-by-step explanation:
For question 1, 5 cakes are divided between 6 people. The equation is 5 divided by 6, which equals 5/6For question 2, 3 pizzas are shared equally between 8 people. The equation is 3 divided by 8, which is congruent to 3/8For question 3, 4 granola bars are shared equally between 8 people. The equation is 4 divided by eight, which is equal to 4/8, which is equal to 1/2For question 4, Mary brought 12 pounds of blueberries to make 5 pies. The equation is 12 divided by 5, which is equal to 12/5, which is equal to 2 2/5, which is equal to 2.4lbs of blueberries in each pie.For question(s) 5, 4 ÷ 5 = 4/5, 5 ÷ 4 = 5/4 or 1 1/4, 12 ÷ 30 = 12/30 or 2/5, and 30 ÷ 12 = 30/12, 5/2, or 2 1/2Find the volume of the solid formed by rotating the region enclosed by
x=0, x=1, y=0, y=5+x^8 about the y-axis.
The volume of the Cylinder formed approximately 16.37 cubic units.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that has two parallel circular bases, connected by a curved lateral surface. It is similar to a prism, but instead of having polygons as its bases, it has circles. The lateral surface of a cylinder is formed by the set of all straight lines connecting the points on the edge of one base to the corresponding points on the edge of the other base.
Now,
To find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x⁸about the y-axis, we can use the method of cylindrical shells.
First, we need to express the equation y=5+x⁸ in terms of x, so we can integrate with respect to x:
y = 5 + x⁸
y - 5 = x⁸
x = (y - 5)¹/⁸
Next, we need to determine the limits of integration. The region is bounded by x=0 and x=1, so we integrate from x=0 to x=1.
Volume of a cylindrical shell is
V = 2πrhΔx
In this case, the radius r is simply x, the height h is y, and Δx is dx. So, we have:
V = 2πxy dx
V = 2πx(5+x^8) dx
V = 10πx dx + 2πx⁸ dx
Integrating with respect to x from x=0 to x=1, we get:
V = [5π + 2π/10] - [0 + 0]
V = 5.2π
Therefore, the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x⁸ about the y-axis is approximately 16.37 cubic units.
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mel got a mean score of 82 marks over 3 tests.
In the first two tests her scores were 74 and 85.
What was her mark in the final test?
Answer: 87
Step-by-step explanation:
(74+85+x)/3 = 82
3(82)=74+85+x
246 = 74+85 + x
246-74-85=x
x= 87
please help 50 points be sure to check the firections
Find the Error A classmate found the height of the prism shown using the following method. Complete the following statement to find the error and correct it.
h=1.5(1.2)(2.5)
=4.5 cm
The classmate switched the , 1 of 1.
Select Choice
measurement and h
in the formula.
Part B
Which of the following is the correct value for height?
Multiple choice question.
A)
0.5 cm
B)
2.5 cm
C)
3 cm
D)
4.5 cm
Therefore , the solution of the given problem of volume comes out to be 1.5 centimetres is the appropriate height measurement option A.
Explain volume.The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Two instances of cubic units are the numbers cm3 and in3. However, an object's bulk can be used to determine its dimensions. Typically, an object's weight is transformed into mass units like kilogrammes and kilos.
Here,
The technique used by the classmate made a mistake by rearranging the measurements in the formula. The right equation to use to determine a rectangle prism's volume is:
=> V = lwh
where the prism's length, breadth, and height are indicated by l, w, and h, respectively.
The colleague in this instance applied the formula:
=> h = 1.5(1.2)(2.5)
which, rather than the height, is the method for calculating the volume.
We must rewrite the volume formula to determine the height:
=> V = lwh
=> h = V/lw
Now that we know the numbers to substitute, we can determine the height:
=> h = 1.5(1.2)(2.5) / (1.2)(2.5)
=> h = 1.5 cm
Consequently, 1.5 centimetres is the appropriate height measurement (option A).
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Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from selling b bottles of water is given by the formula P(b)=1.05b-279
Answer:
As per the given information, Paul's profit from selling b bottles of water is given by the formula:
P(b) = 1.05b - 279
Here, b represents the number of bottles sold, and P(b) represents the profit made by Paul in dollars.
We can find the profit made by Paul by substituting the given value of b in the above equation. For example, if Paul sells 100 bottles of water, then his profit can be calculated as follows:
P(100) = 1.05(100) - 279
= 105 - 279
= -174
So, if Paul sells 100 bottles of water, he will make a profit of $174.
Note that the profit is negative in the above example, which means that Paul will incur a loss if he sells only 100 bottles of water. To make a profit, he needs to sell more than 265 bottles of water. We can find this by setting P(b) equal to zero and solving for b as follows:
P(b) = 1.05b - 279 = 0
1.05b = 279
b = 265.71
Therefore, Paul needs to sell more than 265 bottles of water to make a profit.
Paul's profit from selling bottled water is described by the formula P(b)=1.05b-279. This suggests he makes $1.05 per bottle minus an initial cost of $279. To break even, Paul must sell approximately 266 bottles.
Explanation:The question involves understanding of linear functions in the context of a real-world problem. Paul is planning to sell bottled water at the local carnival. His profit function, P(b), represented by the formula P(b)=1.05b-279, describes how his profit changes based on the number of bottles, b, he sells. This formula suggests that for every bottle Paul sells, he makes a profit of $1.05 with the subtraction of $279, which probably represents his initial costs. To break even, Paul has to sell enough water such that his profit, P(b), is zero. Solving the equation P(b)=0 gives b=279/1.05. This means Paul needs to sell approximately 266 bottles of water to break even. Any sales beyond this would generate profit.
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HELP!!!!!
In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.
What is the average number of siblings for this group? Enter your answer as a decimal, rounded to the nearest tenth,
_______
The average number of siblings for the group is 1.3.
We must compute the total number of siblings and divide it by the total number of children in the group to determine the average number of siblings for the group.
There are a total of: siblings in the bunch.
3 + 8 + 9 = 20 (1 sibling times 3 children) + (2 siblings times 4 children) + (3 siblings times 3 children)
The total number of kids in the group is: 5 + 3 + 4 + 3 = 15
As a result, the group as a whole has an average of:
20/15 = 1.33 (rounded to the nearest tenth) (rounded to the nearest tenth)
So, the group as a whole has 1.3 siblings on average.
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Jayla is building a wheelchair ramp onto her porch. if the ramp begins 96 centimeters from the porch and is 100 centimeters long, how tall is the ramp
Answer: To find the height of the ramp, we need to use the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this case, the ramp, porch, and ground form a right triangle, with the height of the ramp being the missing side.
We know that the ramp begins 96 centimeters from the porch and is 100 centimeters long. Let's represent the height of the ramp with the variable "h". Then, we can write the Pythagorean theorem equation:
h^2 + 96^2 = 100^2
Simplifying this equation, we get:
h^2 + 9216 = 10000
Subtracting 9216 from both sides, we get:
h^2 = 784
Taking the square root of both sides, we get:
h = 28
Therefore, the height of the ramp is 28 centimeters.
Step-by-step explanation:
Write a quadratic equation in vertex form and graph it using the decimals calculator
Make the para bola have a vertex of 1,1
Answer:
Step-by-step explanation:
The equation would be
f(x) = (x - 1)^2 + 1
PLS DUE TOMORROW!!! 25 POINTS!
A hardware store sells nylon rope for $0.89/yd. A lumber yard sells the same rope for $0.94/m. a) Which store sells the rope for a lower price? Explain your answer. b) How much money would Jim save if he purchased 650 ft. of the less expensive rope, before taxes?
Answer:
Hmm.. not quite sure why you multiplied A with 10 yds. I am going to assume M=meters.
A.) You can convert to whatever units you like, but I am going to convert into meters.
0.89/yd * 0.9144yd/m = $0.97 > $0.94.. So.. A Lumber yard is selling the same rope for less expensive.
B.) You convert feet until you get to the correct units. like this....
550 ft * 1yd/3ft * .9144m/yd * $.97/m = $162.62
550 ft * 1yd/3ft * .9144m/yd * $.94/m = $157.58
taking the difference would be $5.03.
I believe for answer A, you forgot to convert...or converted differently. Hope this helps.
Step-by-step explanation:
Answer:
Since $0.973/m is greater than $0.94/m, the lumber yard sells the rope for a lower price
So Jim would save $6.19 if he purchased 650 ft of the less expensive rope before taxes.
Step-by-step explanation:
The ratio of 6:8 is less than the ratio of 14:16 true or false
Answer: true
Step-by-step explanation:
6:8 = 12:16
12:16 less than 14:16
Annie found three seashells at the beach. How much shorter is the Scotch Bonnet seashell than the combined lengths of the two Alphabet Cone seashells? Solve this problem any way you choose. Use a diagram to help.
HELP IT'S A MISSING ASSIGNMENT!
The Scotch Bonnet seashell is 3/4 inches shorter than the combined lengths of the two Alphabet Cone seashells.
What is length ?
Length is a physical quantity that describes the size or distance of an object in one dimension. It is typically measured in units such as meters, feet, inches, or centimeters, and can refer to the distance between two points or the size of an object in one direction. In geometry, length is a fundamental concept that is used to define other geometrical properties such as area, volume, and perimeter. In general, length can be defined as the extent of something along its longest dimension, and it is a crucial parameter in many fields, including physics, engineering, architecture, and mathematics.
According to the question:
The combined length of two Alphabet Cone seashells is:
1(3/4) inches + 1(3/4) inches = 3(1/2) inches
The length of the Scotch Bonnet seashell is:
2(1/8) inches
To find the difference in length, we can subtract the length of the Scotch Bonnet seashell from the combined length of the two Alphabet Cone seashells:
3(1/2) inches - 2(1/8) inches = 3(4/8) inches - 2(1/8) inches
Simplifying the expression, we get:
3(4/8) inches - 2(1/8) inches = 3(2/8) inches = 3/4 inches
Therefore, the Scotch Bonnet seashell is 3/4 inches shorter than the combined lengths of the two Alphabet Cone seashells.
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Write an equation for the line graphed.
Answer:
[tex]y=-\frac{2}{3}x+2[/tex]
Step-by-step explanation:
The formula for equation of a line is [tex]y=mx+b[/tex] where m is the slope, b is the y-intercept, and (x,y) can represent any point on the line. We calculate the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. We are subtracting the y-coordinates in the numerator and the x-coordinates in the denominator.
[tex]\frac{0-2}{3-0} = -\frac{2}{3}[/tex]
You can subtract the coordinates of your second point from your first point and you will get the same slope. Just be sure not to mix up the order.
Now that we have our slope, we can either pull the y-intercept off the graph; the line crosses the y-axis as y = 2, or we can solve our equation for the value of b.
We can pick any point on the line to solve for b. It is recommended to use one of the intercepts because either the x or y component will be zeroed out. I will use the point (0,2)
[tex]y = mx + b\\y = -\frac{2}{3}x +b\\2 = (-\frac{2}{3})(0) + b\\b = 2[/tex]
Now we have all the parts of our equation in slope-intercept form.
[tex]y = -\frac{2}{3}x +2[/tex]
(ANSWER ASAP!! GIVING BRAINLIEST AS SOON AS AVAILABLE! )
It took 22.2 gallons to fill Pedro's car with gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline it took to completely fill Pedro's car with gas?
A: 20 L
B: 84.58L
C: 90L
D: 18.4 L
Answer: The answer is B!
Step-by-step explanation:
If you multiply 22.2 by 8.3, you get 84.36 (if you move the decimal point one space, otherwise you'd get 843.6.) Then if you estimate it, you would get 84.58.
Determina la media agrupada de acuerdo con los datos presentados en la tabla
Tip: Emplea la siguiente formula
X con barra encima igual fracción numerador m subíndice 1 f subíndice 1 más m subíndice 2 f subíndice 2 más m subíndice 3 f subíndice 3 más m subíndice 4 f subíndice 4 entre denominador n fin fracción
donde n igual f subíndice 1 más f subíndice 2 más f subíndice 3 más f subíndice 4
Clase Punto medio de clase (mj) Frecuencia (fi) mj* fi
3-7 5 4
8-12 10 7 70
13-17 15 9 135
18-22 20 5
Seleccione una:
a)81.25
b)25
c)6.25
d)13
The mean of the data-set represented by the frequency table is given as follows:
d) 13.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
We have a frequency distribution, hence each observation is considered to be the midpoint of each interval, and thus the sum of the observations is given as follows:
5 x 4 + 10 x 7 + 15 x 9 + 20 x 5 = 325.
The number of observations is given as follows:
4 + 7 + 9 + 5 = 25.
Hence the mean is given as follows:
325/25 = 13.
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< Determine if the given values are solutions to the equation or inequality shown. Explain your reasoning. a. Is c = 4 a solution to the equation 6 = x + 2? b. Is = 4 a solution to the inequality 21 > 9?
Answer:
Step-by-step explanation:
a, YES, x is a solution as 4 + 2 = 6.
b. looks like there's a missing symbol here.
Pls Help Pls Help !!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
the coordinates are the answers for X and Y.
x+3y=20
n+3n=20
n=5
y=ax-10
5=5a-10
a=3
sam ran 63,756 feet in 70 minutes. what is sams rate in miles per hour (there are 5,280 feet in one mile.)
Please Help 30 points!
Answer:
p=10m.
Step-by-step explanation:
For every painting Sydney sells, $10 is saved.
help please tell me the the answers in order please
A car was valued at $45,000 in the year 1991. The value depreciated to $12,000 by the year 2000.
A) What was the annual rate of change between 1991 and 2000?
r=-------------Round the rate of decrease to 4 decimal places.
B) What is the correct answer to part A written in percentage form?
r=------------%
C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2003 ?
value = $----------------Round to the nearest 50 dollars.
A) the annual rate of change between 1991 and 2000 is -$3,000.
B) the correct answer to part A in percentage form is -6.67%.
C) where n is the number of years from 2000 to 2003, which is 3, $8,450. approximately.
A) The total change in value between 1991 and 2000 is $45,000 - $12,000 = $33,000. The number of years between 1991 and 2000 is 9. Therefore, the annual rate of change is:
r = (final value - initial value) / (number of years)
r = ($12,000 - $45,000) / 9
r = -$3,000 per year
Thus, the annual rate of change between 1991 and 2000 is -$3,000.
B) To convert the rate of change to percentage form, we need to divide it by the initial value and multiply by 100:
r = (-$3,000 / $45,000) * 100%
r = -6.67%
Therefore, the correct answer to part A in percentage form is -6.67%.
C) If the value continues to drop by the same percentage, we can use the following formula to find the value in 2003:
value = initial value * (1 + r)^n
where n is the number of years from 2000 to 2003, which is 3. Plugging in the values, we get:
value = $12,000 * (1 - 0.0667)^3
value = $8,454.58
Rounding to the nearest $50, we get the value in 2003 to be $8,450.
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(a) It takes 64 pounds of seed to completely plant a 9-acre field.
How many acres can be planted per pound of seed?
acres per pound
Answer:
7.111 per pound of seed.
Step-by-step explanation:
64/9 = 7.111
A piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2 boys. How many different arrangements are there if she has 8 girl students and 4 boy students? Be sure to show all of your work.
Answer:
To solve the problem, we need to determine the number of ways to choose 2 girls out of 8 and 2 boys out of 4, and then multiply those numbers together to get the total number of arrangements.
The number of ways to choose 2 girls out of 8 is given by the combination formula:
C(8,2) = 8! / (2! * 6!) = 28
Similarly, the number of ways to choose 2 boys out of 4 is:
C(4,2) = 4! / (2! * 2!) = 6
Therefore, the total number of different arrangements of 2 girls and 2 boys that can be chosen from the 12 students is:
28 x 6 = 168
So there are 168 different arrangements possible.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the number of different arrangements, we can use combinations.
The number of ways to choose 2 girls out of 8 is C(8,2) = 28.
The number of ways to choose 2 boys out of 4 is C(4,2) = 6.
So, the total number of ways to choose 2 girls and 2 boys from 8 girls and 4 boys is:
C(8,2) * C(4,2) = 28 * 6 = 168
Therefore, there are 168 different arrangements for the piano teacher to take 4 of her 12 students to the concert.
pls pls pls help!! 30 points! show work pls!!
Answer: 5 Miles and 1,241 Yards and 2 Feet
Step-by-step explanation: There are 5,280 ft in a mile. To convert to miles, you can do 30,125/5,280. This will give you 5 miles with a remainder of 3,725 ft.
Next, we convert to yards. There are 3 yards in a foot. For this you can do 3,725/3. This will give you 1,241 yd. with a remainder of 2 feet.
Combine these and it will give you 5 miles and 1,241 yd. and 2 ft.
To check your work, you can do (5*5,280)+(3,725*3)+2=30,125.
Please reply back if you have any question.
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find the 9th term of the geometric sequence whose common ration is 2/3 and whose first term is 6.
Answer:
To find the 9th term of a geometric sequence, we can use the formula:
an = a1 * r^(n-1)
where:
an = the nth term of the sequence
a1 = the first term of the sequence
r = the common ratio of the sequence
n = the term number we want to find
In this case, we are given that the common ratio is 2/3, the first term is 6, and we want to find the 9th term. So we can plug in those values and get:
a9 = 6 * (2/3)^(9-1)
Simplifying the exponent, we get:
a9 = 6 * (2/3)^8
Using a calculator, we can evaluate the exponent:
a9 = 6 * 0.015625
Multiplying, we get:
a9 = 0.09375
Therefore, the 9th term of the geometric sequence is 0.09375.
Step-by-step explanation:
here's a step-by-step explanation:
We are given the first term of the geometric sequence, a1 = 6, and the common ratio, r = 2/3. We need to find the 9th term, which we can do using the formula:
an = a1 * r^(n-1)
where n is the term number we want to find.
Step 1: Substitute the given values into the formula
a9 = 6 * (2/3)^(9-1)
Step 2: Simplify the exponent
a9 = 6 * (2/3)^8
The exponent 9-1 simplifies to 8.
Step 3: Evaluate the exponent
a9 = 6 * 0.015625
We can use a calculator to evaluate (2/3)^8, which is 0.015625.
Step 4: Multiply to find the 9th term
a9 = 0.09375
Multiplying 6 by 0.015625 gives us the 9th term of the geometric sequence, which is 0.09375.
Therefore, the 9th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6 is 0.09375.
how to divide 1.384divided by 0.4
When 1. 384 is divided by 0. 4, the quotient would be 3. 46.
How to divide the numbers ?One way to divide 1. 384 by 0. 4 is to use the fact that division is the same as multiplying by the reciprocal of the divisor. The reciprocal of 0. 4 is 1 / 0. 4 or 2. 5. Therefore, we can rewrite the division as:
1. 384 / 0. 4 = 1. 384 x 2.5
We can then use multiplication to get the result:
1. 384 × 2. 5 = 3. 46
Therefore, 1. 384 divided by 0. 4 equals 3. 46.
Find out more on division at https://brainly.com/question/10931887
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Find the value of x.
Answer:
x = 45
Step-by-step explanation:
since the lines are congruent, then the opposite angles will be the same.
2x+90=180
Hope this helps