B. (x-3)2+(y-3)2=16
Equation of circle is
(x-a)2+(y-b)2=r2
What is the sum of the first 37 terms of the arithmetic sequence?
−27,−21,−15,−9,...
Enter your answer in the box.
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_{1} + a_{n})}{2}[/tex]
In this question:
[tex]a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6[/tex]
We want the sum of the first 37 terms, so we have to find [tex]a_{37}[/tex]
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
[tex]a_{37} = a_{1} + (36)*d[/tex]
[tex]a_{37} = -27 + 36*6[/tex]
[tex]a_{37} = 189[/tex]
Then
[tex]S_{37} = \frac{37(-27 + 189)}{2} = 2997[/tex]
The sum of the first 37 terms of the arithmetic sequence is 2997.
Question 2
0/1 pts
A design for a building has a scale of 1/3 inch = 4 meters. On the blueprint
(drawing of the building), the length of the building is 2 2/3 inches. What is the
actual length of the building?
Answer:
32 m
Step-by-step explanation:
The length of the building on the drawing is 2 2/3 = 8/3 inches, so represents a length that is 8 times the length represented by 1/3 inch.
8 × 4 m = 32 m
The actual length of the building is 32 meters.
what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?
Answer:
4.48 ×10^-4
Step-by-step explanation:
Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;
5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.
The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
WIll RATE BRAINLIST PLZ HELP
Answer:
4396
Step-by-step explanation:
The following transformations are defined:
R: {1, 2, 3, 4} ⇒ {3, 2, 1, 4}
B: {1, 2, 3, 4} ⇒ {2, 1, 3, 4}
Y: {1, 2, 3, 4} ⇒ {1, 4, 3, 2}
Then the sequence RYBRY performs the transformation ...
{1, 2, 3, 4} ⇒ {3, 2, 1, 4} ⇒ {3, 4, 1, 2} ⇒ {4, 3, 1, 2} ⇒ {1, 3, 4, 2} ⇒ {1, 2, 4, 3}
And the sequence BRYB performs the transformation ...
{1, 2, 3, 4} ⇒ {2, 1, 3, 4} ⇒ {3, 1, 2, 4} ⇒ {3, 4, 2, 1} ⇒ {4, 3, 2, 1}
___
If we swap the last two digits of the first result, we will get the original number back: 6934.
If we swap the digits end-for-end, we will then get the result of the second transform: 4396.
Had Ali performed the second sequence on her original number, she would have gotten 4396.
a train 150 metre long is running at 72 kilometre per hour it crosses a bridge in 13 seconds find the length of the bridge
Answer:
Length of the bridge = 110 m
Step-by-step explanation:
Let the length of the bridge be x m.
Total distance covered by train in 13 sec = length of train + length of bridge = (150 + x) m
[tex]speed \: of \: train \\ = 72 \: kmph \\ = 72 \times \frac{1000}{3600} \: mps \\ = 20 \: mps \\ \because \: distance = speed \times time \\ \therefore \: 150 + x = 20 \times 13 \\ \therefore \: 150 + x = 260 \\ \therefore \:x = 260 - 150 \\ \huge \red{ \boxed{\therefore \:x = 110 \: m}}[/tex]
mps means meter per second
Pablo is 4 feet 10 inches tall. what is his height in inches?
Answer:
The answer is 58
Step-by-step explanation:
12 times 4 = 48
48 plus 10 = 58
1 foot = 12 inches
What is 3.14 times 10
Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet
high
If paint covers 400 square feet, per gallon, and costs $14.95 a gallon, how much will it cost to paint
Cara's room?
Answer:
$29.90
Step-by-step explanation:
Can you only buy paint by the gallon? That is what I am thinking.
She is painting 4 walls. I am thinking that she is not painting the floor or the ceiling.
The area of the four walls would be:
(11.6 x 10) = 116
(11.6 x 10) = 116
10.6 x 10) = 106
(10.6 x 10) = 106
This totals 444 square feet. Since a gallon can only paint 400 square feet, she will need to buy 2 gallons for 29.90
Which of the following represents the general term for the sequence
Answer:
where is the options
please give options then I will tell you answer
and I am Indian I like to make friends and help others.
Answer:
whats the sequence, whenever you post it or update this one, let me know and ill get back to you as soon as i see it.
Multiply the following numbers.
18.4 x 7.1 =
130.64
1,306.4
13.064
1.3064
Answer:
The first one
Step-by-step explanation:
you would do 18.4 times 7.1 which is 130.64 which is equal to 130.64 which is the first answer
Hope this helped
(・∀・(・∀・(・∀・*)
Evaluate ab + c for a = 2, b = 3, and c= 4.
010
27
9
Answer:10
Step-by-step explanation:
answer is 10, plug in your numbers and you have 2(3) + 4. 2x3=6, add 4 and you get 10
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
What is the volume of the figure?
Answer:
[tex] 2268 \: mm^3 [/tex]
Step-by-step explanation:
Volume of figure = Area of base * height
[tex]18 \times 9 \times 14 \\ = 2268 \: {mm}^{3} [/tex]
Solve the equation 5x + 23 = 2y - 5 for x if
y is 4. Make sure to first solve the equation for
x in terms of y.
X =
Emily bought 15 books at a cost of 172.50. What is the cost of each book if they cost the same.
Answer:
11.50
Step-by-step explanation:
172.50 divided by 15= 11.50
Hope it helps
Mark me Brainliest
Answer:
11.5
Step-by-step explanation:
The table shows the price of strawberries this week at The Produce Place.
Weight (lb)
1
2.
3
4
Price (dollars)
2.50
5.00
7.50
10.00
What is the constant of proportionality? Complete the statement.
The constant of proportionality is
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Answer:
its 2.5
Step-by-step explanation:
Giving brainliest for CORRECT awnser.
Answer:
Option A
................
The difference of 3 times a number and 15 is no less than the square of the number.
Answer:
3x-15 greater than/= x^2
Step-by-step explanation:
Workers specified as actively disengaged are those who are emotionally disconnected from their work and workplace. A poll surveyed individuals who were either unemployed or who were actively disengaged in their current position. Individuals were asked to classify themselves as thriving or struggling. The poll reported that 62% of the actively disengaged group claimed to be thriving, compared to 42% of the unemployed group. Complete parts a through c below.
a. Are these percentages (probabilities) ordinary or conditional? Explain, by specifying events to which the probabilties refer
A. Ordinary, because the statement gives the probability of one independent event occurring
B. Conditional, because the statement gives the probability of one independent
C. Ordinary, because the statement gives the probability of one event occurring, given that another event
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Answer:
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Step-by-step explanation:
Both of the probabilities provided are conditional since they represent a probability of an event occurring, given that another event has already occured.
The poll gives us that there is a 62% probability of individuals classifying themselves to be thriving, given that they are actively disengaged. It also says that there is a 42% probability of individuals classifying themselfs to be thriving, given that they are unemployed.
The "given that" expression represents the condition that an event has previously occurred, which means that the probabilities shown are Conditional.
write the measurement 1357 mm into the place value table below
m I cm I mm
I I
Answer:
m=1.357 cm=135.7 mm=1357
Step-by-step explanation:
m=1357 Divided by 1000
cm=1357 Divided by 10
The measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The measurement is 1357 mm
As we know,
1 m = 100 cm
1 cm = 10 mm
Or
1 m = 100 cm = 1000 mm
The measurement is 1357 mm
It can be converted into m after dividing by 1000
= 1357/1000
= 1.357 m
In cm:
Divide by 10
= 1357/10
= 13.57
Thus, the measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.
Learn more about the unit conversion here:
https://brainly.com/question/11543684
#SPJ2
There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?
Answer:
There are 39 different choices
Step-by-step explanation:
Add the the flavors of ice cream the cones and the scoops.
31+2=33
1+2+3=6
33+6=39
Hope this helps
Find the distance between the points (2,5) and (1,-2)
Answer:
distance between the two points is 7.071
14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.
Cuanto es 32256 dividido para 25 con proceso
Answer:
1290.24
Step-by-step explanation:
This has to do with simple division
Cuanto es 32256 dividido para 25 con process translation was translated In English language. I translated the question to mean 32256 divided by 25
Step one
32256 divided by 25
32256/25 = 1290.24
The answer is 1290.24
Help me I’m stressed with this
I WILL MARK AS BRANLIEST!
Answer:
y = 8x + 3
Step-by-step explanation:
We already know that the slope-intercept of the line is y = mx + b. We know that b = 3 because the line goes through (0, 3), which is the x-intercept. Now to find the slope, or m. The slope of a line is (y₂ - y₁) / (x₂ - x₁). In this case we have (x₁ , y₁) = (-1, -5) and (x₂ , y₂) = (0, 3). Plugging these in we get
(3 - (-5)) / (0 - (-1)) = 8 / 1 = 8. Therefore our answer is y = 8x + 3. Hope this helps!
Does anyone on Brainly know how to do this
Answer:
P'(5, -1)Q'(7, 3)R'(10, 1)Step-by-step explanation:
The translation 5 to the right adds 5 to the x-value.
The translation 1 unit down subtracts 1 from the y-value.
(x, y) ⇒ (x+5, y-1)
P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)
Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)
R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)
Answer:
P'[5,-1], Q' [7,3], R'[10,1]
Step-by-step explanation:
Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.
A number is randomly selected from 10 to 20. X is the event of selecting
a number divisible by 3. Y is the event of selecting a prime number.
a) Draw a Venn diagram to represent the information.
b) Are events X and Y mutually exclusive? Explain.
c) Find P(X) and P(Y).
Answer:
unsure
Step-by-step explanation:
idk
Someone please help :3
Answer:
favorite zoo animal
Step-by-step explanation:
Answer: Favorite zoo animal
Step-by-step explanation:
Point A is a representation of which number on the number line?
A number line has points blank, A, negative 2, B, 0, C, 2, blank, D.
–4
–3
1
4
Answer:
B
Step-by-step explanation:
Answer
-3
Step-by-step explanation:
on edge 2020
A store sells a 114 pound package of turkey for $9.
What is the unit price of the turkey in the package?
Answer:
Each pound of turkey in the package cost 7.20 dollars.
Step-by-step explanation:
If you wanted a explanation then comment
Answer:
$7.20
Step-by-step explanation:
The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!