Answer:
77.4
Step-by-step explanation:
The first term, a, of the series is 3.
It is a geometric progression, so we can calculate the common ratio, r:
3.75 / 3 = 1.25
The sum of n terms of a geometric progression is given as:
[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]
where n = number of terms considered
The sum of the first 9 terms will therefore be:
[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction. A multiplication table. One number is missing from the equivalent ratio, as shown. StartFraction blank Over 12 EndFraction What is the missing number?
A-6
B-18
C-24
D-36
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Can someone please help me
Answer:
1) D
2) B
3) A
4) D
Step-by-step Explanation:
1) 1,300,000
= 1.3 × 10⁶
2) 0.052
= 5.2 × 10⁻²
3) 4,500
= 4.5 × 10³
4) 0.00061
= 6.1 × 10⁻⁴
Help me please people
Answer:
6 divided by 4=6/4 (bottom left)
Step-by-step explanation:
You're dividing a 6 meter area into 4 parts, so you're dividing 6 by 4 (6/4 m)
Answer:
6/4 m or 1.5 m
Step-by-step explanation:
Given 6 meter divided by 4 = 6/4
An airplane lands at an airport 60 miles east and 25 miles north of where it took off, how far apart are the two airports?
Answer:
20 miles
Step-by-step explanation:
Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.
Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
Step-by-step explanation:
In Triangles WUV and XZY:
[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]
Therefore:
[tex]\triangle UWV \cong \triangle XZY[/tex]
To show that the triangles are similar by the SSS similarity theorem, we have:
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
As a check:
[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]
The correct option is A.
Answer:
answer is a
Step-by-step explanation:
What is the slope of the equation Y=2x-?
o -7
Answer:
m = 2
Step-by-step explanation:
Your function Y=2x- is not properly formed. However, y = 2x carries enough information to enable you to determine the slope of the graph of your function: It is m = 2.
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
NEED HELP
Step-by-step explanation:
I DON'T KNOW?
Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent
Answer: The answer is given below
Step-by-step explanation:
From store 1:
Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:
= $17.64/7.94
= $2.22 per kg
For store 2:
A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.
The unit price of the first store is a better buy because the price is cheaper.
Answer:
the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents
Step-by-step explanation:
To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:
First price:
17.64 / 7.94 = 2.22
In other words, the price is 2.22 dollars per kilogram.
Second price:
18.88 / 8.39 = 2.25
In other words, the price is 2.25 dollars per kilogram.
Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.
find the area of a circle
Answer:
the area is 28.2
Step-by-step explanation:
28.27433388
Answer: hello this its 28.27433388
thats what i got
Step-by-step explanation:
URGENT
What is the value of y?
A.72°
B.36°
C.54°
D.108°
Answer:
72 + 2y = 180
2y = 108
y = 108/2
y = 54
C. 54
Answer:
C
Step-by-step explanation:
Sum of three angles of triangle = 180
72 + y + y = 180 {add like terms}
72 +2y = 180 {Subtract 72 from both sides}
2y = 180 - 72
2y = 108 {divide both sides by 2}
y = 108 / 2
y = 54°
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
(x+2)²+1
Step-by-step explanation:
because the graph we know that gx is (x+2)²+1
Ben has b dollars. Cam has 7 fewer dollars than Ben.
How many dollars does Cam have?
Answer:
Cam has b-7 dollars
Step-by-step explanation:
7 elementary classes will be chosen to participate in a school lunch survey. There are 21 elementary classes in the school. In how many
ways can the classes be chosen?
Keypad
Answer
How to enter your answer
Answer:
( About ) 1.01371e + 16 ways
Step-by-step explanation:
You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).
Thus, take a look at the procedure below;
[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]
This is an approximate answer mind you, so I hope that still helps!
A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.
Answer:
6.13 days
Step-by-step explanation:
Hello,
This question directly relates to radioactivity of a substance.
Data,
k = 0.113
Initial mass (No) = 38g
Half life of the substance (T½) = ?
To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.
T½ = ln2 / k
Note : ln2 is a constant derived while k is the decay constant of the substance
T½ = 0.693 / 0.113
T½ = 6.13 days
The half life of the substance is 6.13 days
76 deliveries in 4 hours
= [ deliveries per hour
Answer: 17.75 deliveries made per hour
Step-by-step explanation:
71/4 = how many deliveries made per hour.
How do i sign in thisa is very important so can Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h. How many dollars does Carys earn per hour?Kjjkl jk
Answer:
Carys earns $10 per hour and earn $1 in [tex]\frac{1}{10}[/tex] hour .
Step-by-step explanation:
Given that :
Carys calculates the total amount E, in dollars, that she earns for working h hours.
She use the equation to calculate the total amount
[tex]E=10h.For h=1, E=10(1)[/tex]
[tex]\Rightarrow\ E=\$10[/tex]
hence, Carys earns $10 in one hour.
Therefore, Carys earns $10 per hour.
Let she earn $1 then put E=1 in the equation, we get
[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]
Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]
Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?
Answer: Irrational, assuming b is irrational
Step-by-step explanation:
You didnt state what "b" is, but:
Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number
how can you find dictance between points and cordinte plances
Answer:
Distance = [tex]\sqrt{(x^{2}-x,)^{2} +(y^{2} -y,)^{2}[/tex]
PLEASE HELP!!!!!!! Which of the following sets of data does not contain an outlier? A.25, 33, 29, 31, 33, 33, 78, 28 B.101, 99, 98, 111, 11, 101, 103 C.45, 45, 45, 45, 35, 45 D.6, 7, 5, 8, 9, 1
Answer:
Choice C.
Step-by-step explanation:
Choice C has the most numbers close together, and not far away like an outlier.
Please mark me BRAINLIEST! Thanks!
Answer:
D.6, 7, 5, 8, 9, 1
Step-by-step explanation:
A.25, 33, 29, 31, 33, 33, 78, 28 78 is an outlier
B.101, 99, 98, 111, 11, 101, 103 11 is an outlier
C.45, 45, 45, 45, 35, 45 35 is an outlier
D.6, 7, 5, 8, 9, 1 no outliers the numbers are within 1.5 of the IQR
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.
A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.
Let's see if we can recreate the histogram from the description.
Time count
0.5 0
1 0
1.5 2
2 1
2.5 3
3 1
3.5 2
4 1
4.5 0
5 0
The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.
For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.
Answer: B the mean will decrease
Answer:
B
Step-by-step explanation:
This is because the mean will decrease
can you help me with this range problem?
Answer:
A) 3
Step-by-step explanation:
The range is the highest value - the lowest value from the data
The data given is 1,2,3,4
Highest value: 4
Lowest value: 1
So range = 4-1
= 3
There are 80 picnic tables at the park. During the first weekend of the summer, there were 40 available tables. During the second weekend of the summer, there were 20 available tables. During the third weekend of the summer, there were 10 available tables. Based on the pattern, how many picnic tables will be available during the fourth weekend of the summer?
will mark brainliest
Answer:
5
Step-by-step explanation:
We can see a pattern of 1/2 as the week progresses. 1/2 of 80 is 40, 1/2 of 40 is 20, 1/2 of 20 is 10, so for the fourth week 1/2 of 10 is 5.
In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?
I put the wrong answer
After being rearranged and simplified which of the following equations could be solved using the quadratic formula? Check all that apply.
Answer:
B
Step-by-step explanation:
Because you subtract 14 from the right and left of the = sign
and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13
This is the graph of f(x). Wha is the value of f(2)
Answer: 2
Step-by-step explanation:
They are saying that x equals 2, and the question is what the function is defined at when x = 2
Going to x = 2, the y value is just 2
The answer is 4.
f(2)=4
What Is the Area of the Triangle?
Step-by-step explanation:
To find the area of a right triangle, you multiply the two legs of the triangle and then divide that result by 2. The reason this works is because a right triangle's area is exactly half the area of a rectangle using the same legs.
Answer:
A=1/2bh
=1/2×4×8
=1/2×32
=16.
You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years
Answer:
1498.17
Step-by-step explanation:
formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.
r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months
n = 9 x 12 = 108 ( 9 years in months)
A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167
Answer:
Step-by-step explanation:
A = I(1+r/n)^nt
A = ?
I = $1000
r = 4.5% = 4.5/100 = 0.045
n = 12
t = 9
A = 1000(1+0.045/12)^108
A = 1000(1.00375)^108
A = $1498.17
Solve for m.
22m^2 + 7m - 2 = 0
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
solve the following simultaneous linear equation x+2y=5 and x+3y=8
Answer:
x= -1, y= 3
Step-by-step explanation:
First, label the 2 equations.
x +2y= 5 -----(1)
x +3y= 8 -----(2)
(2) -(1):
x +3y -(x+2y)= 8 -5
x +3y -x -2y= 3
y= 3 (simplify)
subst. y=3 into (1):
x +2(3)= 5
x +6= 5
x= 5 -6 (bring constant to 1 side)
x= -1
