Answer:
2
Step-by-step explanation:
Hello, let's note [tex](a_n)[/tex] this sequence and r the ratio, we can write
[tex]a_n=a_0r^n[/tex]
With [tex]a_0[/tex] different from 0 and then
[tex]a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2[/tex]
Thanks
Evaluate. 5^3−(6/48)+10^2 Enter your answer in the box. 100 POINTS!!! PLEASE HELP
Answer:
= 1799 or 224.875
8
Step-by-step explanation:
5³ − (6/48) + 10²
= 125 - (0.125) + 100
= 224.875
or
5³ − (6/48) + 10²
= 125 - 1/8 + 100
= -1/8 + 225
= (225 * 8)/8 - 1/8
= (225 * 8-1) / 8
= 1799 or 224.875
8
Answer:
[tex]\huge \boxed{\frac{1799}{8} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5^3-(\frac{6}{48} )+10^2[/tex]
Solving for exponents:
[tex]\displaystyle 125-(\frac{6}{48} )+100[/tex]
Adding or subtracting:
[tex]\displaystyle -(\frac{1}{8} )+100+125[/tex]
[tex]\displaystyle -(\frac{1}{8} )+225[/tex]
[tex]\displaystyle -(\frac{1}{8} )+\frac{1800}{8}[/tex]
[tex]\Rightarrow \ \displaystyle \frac{1799}{8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
If 5(x-4)+2= -173 what is the value of x?
Answer:
38.2
Step-by-step explanation:
5 (x-4) + 2 = 173
=> 5x - 20 + 2 = 173
=> 5x - 18 = 173
=> 5x - 18 + 18 = 173 + 18
=> 5x = 191
=> 5x/5 = 191/5
=> x = 38.2
So, x is 38.2
what is the gcf of 54, 72 and 108
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}[/tex]
Step-by-step explanation:
The GCF of any numbers can be obtained by using two methods. They are :
Prime factorization methodDivision methodNow, I am going to find out the GCF of 54 , 72 and 108 using these both methods :
Let's find out using the prime factorization method
First of all , find the prime factor of each numbers
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
Take out the common prime factors of given numbers
Common prime factors = 2 , 3 and 3
Multiply those common prime factors and the number obtained is G.C.F
GCF = Common prime factors
= 2 × 3 × 3
= 18
-----------------------------------------------------------
Now,let's find out using another method i.e division method
Steps for finding G.C.F by using division method:
Step 1 : Divide the larger number by smaller one.
Step 2 : In case of remaining remainder, divide the first division by that remainder.
Step 3 : Again if remainder leaves, divide the second divisor by the remainder.
Step 4 : Repeat the process until the remainder becomes the zero. So , that the last divisor is the G.C.F
( See attached picture )
Hope I helped!
Best regards!!
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 8, point 3, 4, point 4, 2, and point 5, 1. an = 8(one half)n − 2; average rate of change is −6 an = 10(one half)n − 2; average rate of change is 6 an = 8(one half)n − 2; average rate of change is 6 an = 10(one half)n − 2; average rate of change is −6
Answer:
2
Step-by-step explanation:
Answer:
An= 8 x (1/2)^(n-2) and the average rate of change is 6
Step-by-step explanation:
find the area of the triangle given a = 24, b=40, and C= 55°. Round your answer to the nearest tenth.
Answer: 393.2 units²
Step-by-step explanation:
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
[tex]A=\dfrac{1}{2}ab \sin C[/tex]
Given: a = 24, b = 40, C = 55°
[tex]A=\dfrac{1}{2}(24)(40) \sin 55^o\\\\.\quad =480\sin 55^o\\\\.\quad =393.2[/tex]
Answer:
[tex]\huge \boxed{\mathrm{393.2 \ units^2 }}[/tex]
Step-by-step explanation:
We can solve for the area of the triangle when two sides are given and the angle in between the two sides.
[tex]\displaystyle A=\mathrm{\frac{1}{2}ab \cdot sinC }[/tex]
[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 24 \cdot 40 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{480 \cdot sin55 }[/tex]
[tex]\displaystyle A=\mathrm{393.19298125...}[/tex]
The area of the triangle is 393.2 units².
What is
[tex]7.842 \div 2.35[/tex]
please show how you got the answer
To find out how many rabbits were in a park students tagged 10 rabbits. They later came back to the park and counted 200 total rabbits and 5 of them were tagged. Using this information, what is the best estimate for the total number of rabbits in the park? Can someone help explain this? Not just answer it but actually explain the reasoning?
Answer:
400
Step-by-step explanation:
The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.
Write the decimal as a fraction in simplest form. 0.008
Answer:
1 / 125
Step-by-step explanation:
Since there are 3 digits after the decimal point, we know that our denominator will be 10³ = 1000. Since the only non-zero digit after the decimal point is 8, we know that the numerator is 8. Therefore, the answer is 8 / 1000 = 1 / 125.
Write the following radical expression using exponents.
1 divided by square root of 3
Answer:
The square root of 3 is 9
In a statistics class the following 10 scores were randomly selected:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66.
What is the mode?
a. 77.0.
b. 68.0.
c. 72.0.
d. 66.0.
Answer:
A. 77
Step-by-step explanation:
The mode of a data set is the value that appears the most number of times.
Here, we see that all the values appear once, except for 77, which appears twice:
74, 73, 76, 77, 71, 68, 65, 77, 67, 66
Thus, the answer is A, 77.
~ an aesthetics lover
Answer:
The answer is A.
Step-by-step explanation:
Mode is the value that occurs most frequently in a group.
So in this group, 77 appears the most.
-4|2x+5|=-12 solve please
Answer:
x=-4
Step-by-step explanation:
1. Distribute.
|-8x-20|=-12
2. Make it positive.
8x+20 = -12
3. Inverse operations.
8x = -32
4. Divide.
x = -4.
Tom needs to rent tables for his family reunion. There will be 105 people attending. Each table seats 8
people. how many tables does Tom need to rent?
O 14
12
10
18
16
Answer:
tom needs to rend 14 tables
Convert 10/9into a mixed number
Answer: 1 1/9.
Step-by-step explanation: Divide the numerator by the denominator. Write the whole number answer. Make a fraction from the remainder and the original denominator. To get back to an improper fractions, add the whole number to the numerator.
The nonnegative function given below is a probability density function.
{3/7 e^−3t/7 if t ≥ 0
0 if t < 0
(a) Find P(0 ≤ t ≤ 2).
(b) Find E(t).
Answer:
a) 0.5756
b) 2.3333
Step-by-step explanation:
A) for p ( 0 ≤ t ≤ 2)
= 1 - [tex]e^\frac{6}{7}[/tex] = 0.5756
B) for E(t)
= 7/3 = 2.3333
attached below is the remaining part of the solution
how to graph slope 7/3 and y-intercept (x,y) (0,-11)
Start at (0,-11) and move up 7 on the y axis and over 3 on the x axis and you’ll have your line
100 points, Please help ASAP. Answer correctly thanks
Answer:
[tex]\Huge \boxed{\mathrm{7. \ C}} \\\\ \\ \Huge \boxed{\mathrm{8. \ B}} \\\\\\ \Huge \boxed{\mathrm{9. \ D}} \\\\\\ \Huge \boxed{\mathrm{10. \ D}} \\\\\\ \Huge \boxed{\mathrm{11. \ A}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
7.The Commutative Property of Addition changes the order of the numbers but does not affect the sum.
8.We will convert the values into decimals for simplicity.
[tex]\sqrt{7} \approx 2.65[/tex]
[tex]\sqrt{3} \approx 1.73[/tex]
[tex]\displaystyle \frac{-1}{3} \approx -0.33[/tex]
Arranging from least to greatest:
[tex]\displaystyle -2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1[/tex]
9.2 + ( -8 )
2 is on the number line.
When -8 is added to 2, the value decreases, and it moves 8 units to the left side.
The result is -6.
(image)
10.The two subsets of real numbers are rational and irrational numbers.
[tex]\sqrt{13}[/tex] is an irrational number.
11.[tex]\displaystyle \frac{12x-8}{4}[/tex]
[tex]\displaystyle \frac{12x}{4}-\frac{8}{4}[/tex]
[tex]3x-2[/tex]
[tex]\rule[225]{225}{2}[/tex]
compare the following fraction
4/3 and 5/2
-3/2. -4/5
Answer:
Step-by-step explanation:
to compare them, we need to convert them into like fractions
4/3 and 5/2
lcm of 3 and 2 is 6
4/3 × 2/2 = 8/6
5/2 × 3/3 = 15/6
15/6 is greater than 8/6
so 5/2 is greater than 4/3
similarly,
-3/2 and -4/5
we need to convert them into like fractions
lcm of 2 and 5 is 10
-3/2 × 5/5 = -15/10
-4/5 × 2/2 = -8/10
-8/10 is greater than -15/10
so -4/5 is greater than -3/2
Hope this helps
plz mark as brainliest!!!!
Please help me with the question below
Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x2+y2+z2≤34 cut off by the plane z=5 and restricted to the first octant. (In your integral, use theta, rho, and phi for θ, rho and ϕ, as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a= , b= , c= , d= , e= , and f= , Volume = ∫ba∫dc∫fe
Answer:
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
Step-by-step explanation:
Equation of the solid sphere = x^2 + y^2 + z^2 ≤ 34 ------- (1)
at Z = 5
since the bottom of the sphere(z) is flat = 5 we will use cylindrical coordinates
concentrating in the first octant as mentioned in the question
at Z = 5 , equation 1 becomes :
x^2 + y^2 + 25 ≤ 34 = x^2 + y^2 = 9
hence the radius around the xy axis = [tex]\sqrt{9}[/tex] = 3
that means the radius is : 0 ≤ r ≤ 4 , 0 ≤ ∅ ≤ [tex]\frac{\pi }{4}[/tex]
next we have to find the upper bound of: Z = ±[tex]\sqrt{34-r^2}[/tex] we will pick out only the positive
5 ≤ z ≤ [tex]\sqrt{34 - r^2}[/tex]
therefore for the Volume = ∫ba∫dc∫fe
a = 0
b = [tex]\frac{\pi }{4}[/tex]
c = 0
d = 3
e = 5
f = [tex]\sqrt{34-r^2}[/tex]
"Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m for the slope and b for the y-intercept as needed.)"
Answer:
Y= 4x +y1-4x1
4 represent the slope m
+Y1 - 4x1 represent the intercept b
Step-by-step explanation:
Formula for the equation of the linear function
(Y-y1)/(x-x1) = m
We will transform it into the equation form
Y= mx + b
Where m = slope=4
b = intercept
(Y-y1)/(x-x1) = m
(Y-y1)/(x-x1) = 4
(Y-y1)= 4(x-x1)
Y-y1= 4x -4x1
Y= 4x +y1-4x1
4 represent the slope m
+Y1 - 4x1 represent the intercept b
An equation for the family of linear functions with slope 4 is; y = 4x +b
Equation of a straight lineThe equation of a line can be determined by means of the slope as follows;
slope,m = (y-y1)/(x-x1)Therefore, for this scenario;
Slope,m = 4 = (y-y1)/(x-x1)By Cross-product, we have;
4x - 4x1 = y -y1Since, the y-intercept, b is the value of y for which x= 0.
Hence;
4x - 0 = y-by = 4x +bRead more on slope-intercept form;
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How do I solve this question? Rayne sold 3 desks at a local trade show. he payed $4.00 to rent the booth. he gave half of his revenue to the carpenter and was left with $185.50. at what price did Rayne sell each desk
Answer:
$125
Step-by-step explanation:
I suspect there's an error in the problem statement. Revenue is the money made from selling the desks. Profit is the revenue from the desks minus the cost of the booth rental.
If Rayne gives half of his profit to the carpenter, and x is the price per desk, then:
185.50 = ½ (3x − 4)
371 = 3x − 4
375 = 3x
x = 125
Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something other
than 90°? In this situation, what is the relationship between
AB
and CD ? Explain.
Answer:
if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.
And angle measures 58 degrees what is the measurement of a supplements
Answer:
122 degrees
Step-by-step explanation:
180-58=122
Which of the following expressions represents the verbal description below?
the product of 5 and the difference of 7 times the square of x and 3
5(7-3x^2)
5-7(x^2-3)
5(7x^2-3)
5-7x^2-3
Answer: C. 5(7x² - 3)
Step-by-step explanation:
Product means multiplication
Difference means subtraction
square means "to the power of 2"
Product of 5 and _______ --> 5(__)
Difference of 7 ... and 3 --> 7... - 3
7 times the square of x ---> 7x²
Put it together to get: 5(7x^2 - 3)
Answer:
D is the correct answer
Step-by-step explanation:
I got it right
Which of the following statements is false? -(-5) = 5 |-5| = -5 -|-5| = -5 -|5| = -5
Your question has been heard loud and clear.
Well -(-5)=5
5/-5/= -5
/-5/5= -5
So basically , the statement is false because -5(-5) not equal to -5/-5/
Thank you
From the given options |-5|=-5 is false. Therefore, option B is the correct answer.
We need to identify the false statement from the given options.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.
From option (A):
-(-5)=5 is true
From option (B):
|-5|=-5 is false
From option (C):
-|-5| = -5 is true
From option (D):
-|5| = -5 is true
From the given options |-5|=-5 is false. Therefore, option B is the correct answer.
To learn more about an absolute value visit:
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Write the equation of the line that has a slope of -5 that goes through (-4,7)
Answer:
y = -5x + 7
Explanation:
Slope is given -5
7 is the y-intercept.
5:30PM
You run to the store on your way home from school. You want to buy some Doritos. Should you buy
the regular size bag or the party size bag? Calculate the unit price for each size and determine which
one is the better buy.
15 oz. Party Size Doritos $3.98
9.75 oz. Doritos $2.98
The Unit Price is just a Ratio with a denominator of 1. Your textbook has information about ratios on
pgs. 305-307
Answer:
The regular size bag of doritos is a better deal, I believe. Hope this helps!
Step-by-step explanation:
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 32 ∘ . From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 34 ∘ . How high (in feet) is the mountain?
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
9w-4w+6<1+5w supposed to combine like terms
Answer/Step-by-step explanation:
Given:
[tex] 9w - 4w + 6 [/tex] < [tex] 1 + 5w [/tex]
To solve, collect like terms.
Subtract 5w from both sides
[tex] 9w - 4w + 6 - 5w [/tex] < [tex] 1 + 5w - 5w [/tex]
[tex] 9w - 4w - 5w + 6 [/tex] < [tex] 1 [/tex]
[tex] 6 [/tex] < [tex] 1 [/tex] (incorrect)
The inequality given has no solution or an information is missing.
Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the equation that best represents the depth of the pond each week? Hint: Use the formula y = P(1 + r)x. y = 10(0.03)x y = 10(0.3)x y = 10(1.3)x y = 10(1.03)x
Answer:
y = 10(1.03)^x
Step-by-step explanation:
In the formula y = p(1 + r)^x, p is the starting amount and r is the growth rate.
In this problem, the starting amount is 10. So, p = 10.
The growth rate is 3% each week, which is the same as 0.03 as a percentage. So, r = 0.03.
Plug these into the equation:
y = 10(1.03)^x will be the equation for this situation
The equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
We have:
A pond increases 3% each week.
The exponential growth is represented by:
y = p(1 + r)×
p = 10 feet
r = 3% = 0.03
y = 10(1 + 0.03)×
y = 10(1.03)×
Thus, the equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.
Learn more about the exponential function here:
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