Answer:
a. 1/2
b. 512
c. 1024
Step-by-step explanation:
The nth term of a geometric progression can be written as;
Tn = ar^n-1
where a is the first term, r is the common ratio and n is the term number
From the question;
Fifth term = ar^4 = 32
Eight term = ar^7 = 4
a. We want to find the common ratio
What to do here is that we can divide the 8th by the 5th term
ar^7/ar^4 = 4/32
r^3 = 1/8
r^3 = (1/2)^3
Thus r = 1/2
b. First term
we can make a substitution in any of the two given terms
Let’s use the fifth term
ar^4 = 32
a * (1/2)^4 = 32
a * 1/16 = 32
a = 16 * 32
a = 512
C. Sum of the first 50 terms
To calculate this, we use the sum of terms formula
Sn = a(1- r^n)/1-r
a = 512 , n = 50 and r = 1/2
Making the substitution;
Sn = 512(1-(1/2)^50)/1-1/2
Kindly note that (1/2)^50 will be infinitesimally small and will be close to zero
So we can approximate (1/2)^50 to be zero
Hence;
Sn = 512(1-0)/0.5
Sn = 512/0.5
Sn = 1024
A teacher would like to study how students' seating locations in the classroom affects their test scores. If he were
creating an experiment, which of the following are part of an appropriate experiment? SELECT ALL THAT APPLY.
A)He would choose a random sample of students from all of his classes to collect data,
B) He would track the test scores of certain students in their current seat locations, then move their seats and continue to track their
test scores
C) He would record students' test scores as well as their seat locations,
D) At the end of the study, he would conclude causation,
E) He would follow one student's test scores and keep her seat the same the entire semester
Answer:
B, C, D, maybe A
Step-by-step explanation:
1) Which expression represents the volume
of a shipping box?
Answer:
(s+2)^3
Step-by-step explanation:
I think this is referring to a square as a box, so the length of a jewelry box would be s. We learn that a shipping box is 2 inches longer, so s+2 = the length of the shipping box.
Volume = Length*Width*Height, but if square, all dimensions are the same, so s+2 to the power of 3 would be your answer.
Answer:answer (s+2)^3
Step-by-step explanation: ( I did it on iready
Help!! no can seem to help me :/
Answer:
[tex]7 {}^{0} = 1[/tex].
In any number if the power of the number is 0,then it will be 1.
It rained 2 inches on Monday. On Tuesday, it rained 0.61 inches less than on Monday. How much did it rain on Tuesday?
Answer:
1.39 inches
Step-by-step explanation:
Answer:
1.39 inches
Step-by-step explanation:
2 - 0.69
= 1.39
solve the equaton 3x+5y=15 for y
What does it mean when a function is one-to-one?
Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.
is 3.21 rational or irrational
Answer: Rational
Step-by-step explanation:
3.21 is rational because it is not an infinite decimal number or a square root that is not whole.
Using the information that
5.2 x 67 = 348.4
write down the value of
a) 52 x 67
b) 5.2 x 6.7
c) 348.4 - 52
Answer:
Below in bold.
Step-by-step explanation:
a) 52 = 5.2 * 10 so the result is 348.4 * 10 = 3484.
b) 6.7 is a tenth of 67 so the result is 348.4 / 10 = 34.84.
c) 348.4 - 52 = 296.4.
F(x)=(x-4)^2
evaluate -2
Answer:
does that mean x=-2? because if so then:
F(x)=36
Step-by-step explanation:
(-2-4)^2
-6^2
36
F(x)=36
What is the absolute value of –7.5?
Answer: 7.5
Step-by-step explanation:
Absolute value is the distance from 0.
-7.5 is is 7.5 units away from 0.
The Hill family's budget was $3,890 a month. If they spent 15% of their budget on food. How much did they spend each month on food?
Answer: 583.5 dollars
Step-by-step explanation:
What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]
I don't know this one bruh
Hey there!
ANSWER: [tex]f=-16[/tex]EXPLANATION:[tex]\frac{f}{4}-5=-9[/tex]
Simplify both sides and you get:
[tex]\frac{1}{4}f-5=9[/tex]
Now add 5 to both sides and you get:
[tex]\frac{1}{4}f=-4[/tex]
Now you have to multiply both sides and you get:
[tex]f=-16(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
What is 3.18 written as a rational?
Answer:
[tex]\frac{318}{100}[/tex]
Step-by-step explanation:
A rational number can be expressed as
[tex]\frac{a}{b}[/tex] ← where a and b are integers
The 8 in 3.18 is in the hundredths position, thus
3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number
Help me with Rational and Irrational!
Rational Numbers: Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.
Irrational Numbers: Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.
With this information, sort the given values into one of each of these categories.
Cheers.
Two times the complement of an angle is 23 less than the supplementary of the angle. What is the measure of the angle?
Answer:
Step-by-step explanation:
Let the angles be x and y
If the two angles are complementary then their sum is 90 i.e x+y = 90
x = 90-y
If the two angles are supplementary, then their sum is 180 i.e x+y = 180
x = 180-y
If two times the complement of an angle is 23 less than the supplementary of the angle, this is written as;
2(90-y) = (180-y)-23
180-2y = 157-y
-2y+y = 157-180
-y = -23
y = 23
Hence the angle is 23°
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answer:
x/2 inches
Step-by-step explanation:
Given f(x) = 4(x - 8), determine the value of f(10).
Answer:
f(10) = 8
Step-by-step explanation:
f(x) = 4(x - 8)
Let x = 10
f(10) = 4 ( 10-8)
= 4 ( 2)
= 8
Here, we are provided with a polynomial in x and it's general value in variable X is also given.
[tex]f(x) = 4( x - 8)[/tex]
We need to find the value of f(10)
For this, we need to substitute the value of x with 10, because we are required to find f(10)
Given polynomial, f(x) = 4(x - 8), Putting value of x
[tex]f(10) = 4(10 - 8)[/tex]
[tex]f(10) = 4(2)[/tex]
[tex]f(10) = \boxed{ \red{8}}[/tex]
This is our required answer !!
#CarryOnLearning
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3. What is the volume of the triangular
prism?
3.2 cm
6 cm
5.4 cm
A 8.64 cm3
® 17.28 cm3
51.84 cm3
0 103.68 cm3
Answer:
Step-by-step explanation:
3.2
Answer:
3.2
Step-by-step explanation:
jdjdhdidndidnnidndindinidnndindnd
Solve the equation below k/12
Answer:
k = 24
Step-by-step explanation:
Step 1: Write equation
k/12 = 2
Step 2: Multiply 12 on both sides
k = 24
What is the value of -34 +2(x-7) if x=-1?
Answer:
Step-by-step explanation:
Find MN
LM = 3y + 4
MN = 7y + 9
LN = 143
Answer:
B. 100
Step-by-step explanation:
[tex]3y+4+7y+9=143[/tex]
[tex]10x+13=143[/tex] 143-13=130
10x=130 divide both sides by 10 130/10= 13 x=13
MN=7(13)=91+9=100
LN=3(13)=39+4=43
100+43
What is the LCM of 81000000
Answer:
you can't there's too many 0's for it to work
Step-by-step explanation:
Solve for x.
[tex]x + 6 - 2x = x - 24[/tex]
x = [?]
Greetings from Brasil...
First degree equation. The variables are in the 1st member and the numbers in the 2nd member.
X + 6 - 2X = X - 24
X - 2X - X = - 24 - 6
- 2X = - 30
X = 157. A recipe for 12 people needs the following ingredients. Brian is going to adjust the recipe
for 3 people.
4 whole eggs
4 1/4cups of sugar
7 cups of flour
41/2cups of milk.
Part A
How much flour will Brian need if he is making it for 3 people?
Part B
How much sugar will be needed if he is making it for 3 people?
Answer:
A. Brian will need 1.75 (1 3/4) cups of flour
B. Brian will need 1 1/16 cups of sugar
Step-by-step explanation:
Brian wants to make it for 3 people, so everything must be divided by 4 since 12/4=3.
7/4=1.75
4 1/4 divided by 4=1 1/16
Answer:A is 21 cups of flour and B is 12 3/4 cups of sugar
Step-by-step explanation:
A is 21 because 7x3 is 21 and B because 4 1/4x3 equals 12 and 3/4 cups
Jose wants to buy his friends pizza at lunch. He has $36 to spend. The pizza costs $2.25 per slice. Which equation could be used to find the number of slices, x, he can buy?
Answer:
36 = 2.25(x)
Number of slices = 16 slice
Step-by-step explanation:
Given:
Total amount spend = $36
Cost of each slice = $2.25 per slice
Number of slices = x
Find:
Equation
Computation:
Total amount spend = Cost of each slice × Number of slices
36 = 2.25(x)
x = 16
Number of slices = 16 slice
An Arcticle was sold for Rs250 with a profit of 5% find cost price
Answer:
I think it should be Rs237
What is 6x - 2 if x = 5
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
0 less than or equal to -1 is false right ?
I just need to know which side to shade
Answer:
right
Step-by-step explanation:
a number line goer -3 -2 -1 0 and 0 isnt -1 or any (bigger? smaller?) negative number
Answer:
shade the bottom part.
Step-by-step explanation:
I'm pretty sure because if y is less than -x -1 , then everything on the bottom is less than that? Sorry if it is not correct.
A hot-air balloon 70 meters above the ground is falling at a constant rate of 6
meters per second while another hot-air balloon 10 meters above the ground is
rising at a constant rate of 15 meters per second. To the nearest tenth of a second,
after how many seconds will the 2 balloons be the same height above the
ground?
A. 8.9
B. 6.7
C. 2.9
D. 0.4
E. 0.2
6 bakers shared 7.5 kg of flour equally. How much did each
person get?