Find the terms: a=_1=8, r=0.7
Answers
The formula of the nth term of the sequence is f(n) = 8 *0.7r^(n - 1)
Finding the terms of the sequence:From the question, we have the following parameters that can be used in our computation:
a=_1=8, r=0.7
Express properly
So, we have
First term, a = 8
Common ratio, r = 0.7
The above definition is of a geometric sequence that has a first term of 8 and a common ratio of 0.7
Using the above as a guide, we have the following:
f(n) = a * r^(n - 1)
substitute the known values in the above equation, so, we have the following representation
f(n) = 8 *0.7r^(n - 1)
Hence, the nth term of the sequence is f(n) = 8 *0.7r^(n - 1)
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Related Questions
I need help finding MN in this geometry test and I can't figure it out on my own.
Answers
Answer:
I think it is 7.3. Cos35=6/MN.
Step-by-step explanation:
Cosine of 35 degrees= adjacent side /hypotenuse.
Help me it’s not D !!!!
Answers
The answer to this is A.
-4x + 7 = 31
Solve for x
Answers
Answer:
x=-6
Step-by-step explanation:
subtract 7 from both sides then divide both sides by -4
Get me right twinnnn
Answers
Answer:
\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)
hope it helps:)
Answer:3x-21
Step-by-step explanation:
\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21
can someone help me? I’ll list the answer choices below:
The question is the attachment.
answer choices:
a. Congruent
b. cross product property
c. equal
d. extended proportion
e. geometric mean
f. proportional
g. scale factor
h. similarity ratio
THANK YOU SO MUCH!!
Answers
EXPLORATION: Cat Food Performance Task Carol has two cats, Rover and Bobo.Rover eats 3/4 of a can of cat food each day and Bobo eats 1/2 of a can of cat food each day.Cat food costs $5.00 for three cans. It is only sold in 3 can packs. 1. How much cat food is required to feed Rover and Bobo per day? Show your work.
Answers
5/4 or 1 1/4 cans
Explanation
Step 1
let
Rover eats 3/4 of a can of cat food each day
Bobo eats 1/2 of a can of cat food each day.
hence, the total cat food per day is the sum of rover and bobo's
\(\text{total per day= }\frac{3}{4}\frac{can}{\text{day}}+\frac{1}{2}\frac{can}{\text{day}}\)Step 2
add the fraction numbers
remember:
\(\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\)so
\(\begin{gathered} \frac{3}{4}+\frac{1}{2}=\frac{6+4}{8}=\frac{10}{8} \\ \text{simplify} \\ \frac{10}{8}\rightarrow\frac{5}{4}\text{ }\rightarrow\frac{4}{4}+\frac{1}{4}=1\text{ }\frac{1}{4} \end{gathered}\)I hope this helps you
A is shaped like a rectangle whose perimeter is 378ft . The length is 8 times as long as the width. Find the length and the width.
Answers
The length and width of the rectangle with a perimeter of 378ft are 168ft and 21ft respectively.
What is the length and the width of the rectangle?The formula used in calculating the perimeter of a rectangle is expressed as;
P = 2( l + w )
Where l is length and w is width.
Given the data in the question;
Let 'x' represent the width of the rectangle.
Width of the rectangle w = xLength of the rectangle l = 8xPerimeter P = 378ftPlug the given values into perimeter formula and solve for x .
P = 2( l + w )
378 = 2( 8x + x )
378 = 2( 9x )
378 = 18x
18x = 378
x = 378/18
x = 21
Now, we find the length and width of the rectangle.
Width of the rectangle w = x = 21ft
Length of the rectangle l = 8x = 8( 21 ) = 168ft
Therefore, the width of the rectangle is 21ft while its length is 168ft.
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simplify fully root8 x root18
Answers
Answer:
12
Step-by-step explanation:
√8 = 2√2
√18 = 3√2
√8 x √18
= 2√2 x 3√2
= 2 x 3 x √2 x √2
= 6 x 2
= 12
(-7,-13)(0,-7) determine the slope given 2pts
Answers
Answer:
6/7
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-7-(-13)/0-(7)
6/7
Best of Luck!
ILL GIVE 20 POINTS !!!! PLSS HELP ASAP
Answers
Answer: 10/40 or 1/4
Step-by-step explanation:
Add up all the amount of rolls, so 10+6+4+8+6+6=40
then add the probability of rolling a 3 or 6 = 10
divide that quantity out of the whole
answer is 10/40 and simplified is 1/4
hope it helps
(x+3)^2
Solve asap.
Steps must.
Answers
Answer:
\(\boxed{=x²+6x+9}\)
Step-by-step explanation:
=(x+3)(x+3)
=(x)(x)+(x)(3)+(3)(x)+(3)(3)
=x²+3x+3x+9
=x²+6x+9
Step-by-step explanation:
=(x+3)(x+3)
=(x)(x)+(x)(3)+(3)(x)+(3)(3)
=x²+3x+3x+9
=x²+6x+9
MARK ME BRAINLIEST
−6−1.5(4b+8)=3(−6−2b)
Answers
Answer:
-18 = -18 It is true.
Step-by-step explanation:
-6 -1.5(4b+8) = 3(-6 -2b)
-6 -6b - 12 = -18 -6b
-6b -18 = -18 -6b
+6b +6b
-18 = -18
It is true.
The product of p and 5 write your expression here
The sum of 6 and x divided by 12 write your expression here
8 less than F write your expression here
The quotient of 15 and C added to the product of m and 2 write your expression here
Answers
Answer:
first one - 5p
second one - 6 + x/12
third one - f - 8
fourth one - 2m + 15/c
Step-by-step explanation:
Jill had some remaining honey and now has 19 gallons of honey. If she distributes all the honey equally between 9 jars, how much honey will be in each jar?
Answers
Answer:
19 divided by 9?
Step-by-step explanation:
I think you're asking 19 divide by 9. Which is around 2.1.. I think!
Question 5
Joe's cat weighs k kilograms. Esperanza's cat weight 30% more than Jose's cat. Which of the following expressions
represents the weight, in kilograms, of Esperanza's cat? Selact ALL that apply.
a. x + 1.3x
b. 1.3x
C. X+0.3x
d. 0.3x
e. x(1 +0.3)
PLEASEEE HELP MMEEE
Answers
Answer:
b, c, e
Step-by-step explanation:
Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.
Answer:
B, c,e
Step-by-step explanation:
Hope this helps!
A random sample of 40 collision claims of 30 to 49 year old drivers results in a mean claim of $3669 with a standard deviation of $2029. Another random sample of 40 collision claims of 20 to 29 year old drivers results in a mean claim of $4586 with a standard deviation of $2302. Is there evidence that 20 to 29 year old drivers have a higher mean accident claim? (Let population 1 be 20-to-29 yr old drivers and population 2 be the 30 to 49 year old drivers.) Calculate the appropriate test-statistic. Round your answer to 2 decimal places.
Answers
The appropriate test statistic is approximately 1.89.
To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.
The test statistic can be calculated using the following formula:
\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)
where:
mean1 and mean2 are the sample means of the two populations,
s1 and s2 are the sample standard deviations of the two populations,
n1 and n2 are the sample sizes of the two populations,
Given the following information:
For population 1 (20 to 29-year-old drivers):
Sample mean (mean1) = $4586
Sample standard deviation (s1) = $2302
Sample size (n1) = 40
For population 2 (30 to 49-year-old drivers):
Sample mean (mean2) = $3669
Sample standard deviation (s2) = $2029
Sample size (n2) = 40
Calculate the test statistic (t):
\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)
Calculating this expression:
t ≈ 917 / √(132360.1 + 102996.025)
t ≈ 917 / √(235356.125)
t ≈ 917 / 485.086
t ≈ 1.89
Therefore, the appropriate test statistic is approximately 1.89.
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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.
Answers
The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.
If the cost after \(m\) months is \(c\) dollars, then \(c=20m+40\).
Please help to solve these 3 questions
Answers
Based on the number of goals scored in the football matches, the mode is 4 goals. The median is 3 goals and the mean goals scored is 2.6 goals.
What are the statistics from the football matches?The mode is the number of goals that was scored in the most matches. This number is 4 goals as this was scored in 6 matches.
To find the median, order the numbers:
0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6
The median is:
= (3 + 3) / 2
= 3
The mean is:
= (0 + 0 + 0 + 0 + 1 + 1 + 2 +2 +2 + 3 + 3 + 3 + 4 + 4+ 4 + 4 +4 + 4 + 5 + 6) / 20
= 2.6 goals
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Help me with questions please
Answers
Hope this helped
7f+15-29 True or false the expression contains 2 terms
Answers
1) Examining the expression 7f +15 -29
7f +15 -29 is equivalent to 7f -14
2) So, false the expression 7f +15-29 contains 3 terms but it is equivalent to another expression of 2 terms.
The students in two English classes were asked how many minutes they read each day.
Answers
Answer:
Step-by-step explanation:
what are the answers to choose from
Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answers
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D
Answers
Answer:
B.shapes A and D
Step-by-step explanation:
Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D
How many terms of the series 2 + 5 + 8 + … must be taken if their sum is 155
Answers
9514 1404 393
Answer:
10
Step-by-step explanation:
The sum of terms of an arithmetic series is ...
Sn = (2a +d(n -1))·n/2 = (2an +dn^2 -dn)/2
For the series with first term 2 and common difference 3, the sum is 155 for n terms, where ...
155 = (3n^2 +n(2·2 -3))/2
Multiplying by 2, we have ...
3n^2 +n -310 = 0 . . . . . arranged in standard form
Using the quadratic formula, the positive solution is ...
n = (-1 +√(1 -4(3)(-310)))/(2(3)) = (-1 +√3721)/6 = (61 -1)/6 = 10
10 terms of the series will have a sum of 155.
Step-by-step explanation:
\(\displaystyle \ \Large \boldsymbol{} S_n=\frac{2a_1+d(n-1)}{2} \cdot n =155 \\\\ \frac{4+3(n-1)}{2} \cdot n =155 \\\\\\ 4n+3n^2-3n=310 \\\\ 3n^2+n-310=0 \\\\D=1+3720=3721=61^2\\\\n_1=\frac{61-1}{6} =\boxed{10} \\\\\\n_2=\frac{-61-1}{3} \ \ \o\)
Pls help step by step, loves <3 (special right triangles)
Answers
Answer:
x ≈ 30,37
y ≈ 29,00
Step-by-step explanation:
Use trigonometry:
\( \sin(38°) = \frac{9}{x} \)
Now, use the property of the proportion to find x:
\(x = \frac{9}{ \sin(38°) } ≈30.37\)
Do the same thing to find y:
\( \tan(38°) = \frac{9}{y} \)
\(y = \frac{9}{ \tan(38°) } ≈29.00\)
Whats the reciprocal for 1 1/14 pls help-
Answers
Answer:
14/15
Step-by-step explanation:
1 1/14
=> 14 x 1 + 1/14
=> 15/14
Reciprocal = Opposite
=> 15/14 reciprocal = 14/15
what do you mean by food handling?
what do you understand by untensils?
Provide three quality points for dairy and eggs which indicate quality and freshness? Provide three quality points for dry goods that indicate quality and freshness?
Describe five ways you could increase the nutritional value of classical and contemporary cakes, pastries and bread or their filling?
Answers
Answer:
Find the definitions and points below.
Step-by-step explanation:
1. Food Handling refers to any of the stages in the preparation, storage, transportation, packaging, and delivery of food.
2. Utensils are those vessels and tools that are used to carry, cut, stir, and store items and ingredients required in food preparation.
3. Three quality points for dairy and eggs which indicate quality and freshness are;
a. Smell: A decaying and pungent smell indicates a lack of quality.
b. Color: An abnormal color with physical signs of rottenness shows a lack of quality.
c. The sinking test is used to check for the freshness of eggs. If an egg sinks when put in a glass of water, it is a sign of freshness. If it floats, it is an indication of decay.
4. Three quality points for dry goods that indicate quality and freshness:
Moisture: The presence of moisture in dry food shows a lack of quality.
Weight: Heaviness might be an indication that one coconut is better than another.
Texture: A dry food that is sticky might indicate a lack of freshness. Smoothness, crunchiness, hardness, and toughness are other qualities to look out for.
5. Five ways I could increase the nutritional value of pastries include
1. Using fresh ingredients: Fresh ingredients free from contamination will guarantee that foods with good nutritional values are produced.
2. Preparing them in a hygienic environment: A hygienic environment will prevent food poisoning by bacteria and other contaminants.
3. Using proper measurements: When the right measurements are used in the preparation of pastries a balanced snack is produced.
4. Good preservation techniques: The right preservation techniques will prevent food spoilage.
5. Good packaging and wrapping: These will prevent exposure of the food to moisture, rodents, and other unwanted factors. Thus, the nutritional value is preserved.
Please answer this correctly without making mistakes
Answers
Data were recorded for a car's fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour
(mph). Given the least-squares regression line, In(Fuel Efficiency) = 1.437 +0.541 In(Speed), what is the fuel efficiency
for a speed of 60 mph?
A)3.65 mpg
B)33.90 mpg
C)36.52 mpg
D)38.55 mpg
Answers
The fuel efficiency for the speed of 60 mph is (d) 38.55 mpg
How to determine the fuel efficiency for the speed?From the question, we have the following least-squares regression line equation that can be used in our computation:
ln(Fuel Efficiency) = 1.437 +0.541 In(Speed)
Also from the question, we have the following parameters:
Speed = 60 mph
This means that we substitute 60 mph for speed in the given equation
ln(Fuel Efficiency) = 1.437 + 0.541 In(Speed)
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 0.541 In(60)
Take the natural logarithm of 60
This gives
ln(Fuel Efficiency) = 1.437 + 0.541 * 4.09434456222
Evaluate the products
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 2.21504040816
Evaluate the sum
So, we have the following representation
ln(Fuel Efficiency) = 3.65204040816
Take the exponent of both sides
Fuel Efficiency = e^(3.65204040816)
Evaluate
Fuel Efficiency = 38.5532502162
Approximate
Fuel Efficiency = 38.55 mpg
Hence, the fuel efficiency is (d) 38.55 mpg
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please help i will give u brainlyist
Answers
Answer:
B, E, and D
Step-by-step explanation:
I'm not 100% sure