Answer:
7580
Step-by-step explanation:
The formula for the sum of an arithmatic sequence is
[tex]\frac{n}{2} (a_{1} + a_{n})[/tex],
where n = total number of terms (in this case 40)
[tex]a_{1}[/tex]= the first term (in this case 14)
and [tex]a_{2}[/tex] = the last term (we will need to find this)
to find the last term, we can use this formula:
[tex]a_{n} = a_{1} + (n-1)d[/tex]
where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)
thus, [tex]a_{n}[/tex] = 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365
plug this back into the first formula to get
Σ = [tex]\frac{40}{2}[/tex] (14 + 365) = 20(379) = 7580
50 points! Please help random answers will be reported. I hope mhanifa helps me
Answer:
36°90°Step-by-step explanation:
Question 1
Two isosceles triangles with repeat 72°.
x = 180° - 2*72°x = 180° - 144°x = 36°Question 2
Isosceles triangle with repeat x/2 angle and a x angle.
2(x/2) + x = 180°2x = 180°x = 90°A teacher asks her students to fill out a survey about themselves. Which
piece of data would be considered categorical data?
O A. Age
B. Number of siblings
C. Height
D. Favorite sport
Answer:
Age
Step-by-step explanation:
it is about them.
If it were how many siblings they have it, then would not be just about them.
If it were there sport it would not be about them it would also be about sports
Will Mark As Brainliest!!!!!Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Any one know what to do
Use pythagorean identity, [tex]9^2+12^2=15^2[/tex] so the answer is 15.
What expression is equivalent to 4/5 X +11/5
Answer:
8/10 X 22/10
Step-by-step explanation:
When you multiply every number by 2, then the expression will still be equivalent.
Answer:
(4x + 11)/5
Step-by-step explanation:
4/5x + 11/5 = 4x/5 + 11/5 = (4x + 11)/5
Ramik is buying a house for $223,000 that requires a 5 percent down payment. How
much money will he need for the down payment?
Answer:
$11,150
Step-by-step explanation:
$223,000 x .05 = 11,150
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
TO Learn more about Rhombus visit:
https://brainly.com/question/2456096
#SPJ2
Which is the best estimate for the product of 103.132 × 1,031.2? BE QUICK!!
10,000
1,000,000
1,000
100,000
Answer:
option D: 100,000
Step-by-step explanation:
approximated to 10⁵ to 100,000
Prove that 57+50 is divisible by 6.
5^7 +5^6 = *
Step-by-step explanation:
5^7+5^6=93750
93750÷6=1525
Answer:
Five to the sixth power
Step-by-step explanation:
5^7+5^6 = 93750 which equals to 5 to the sixth power
9+3+x-y; use x=6, and y=2
Answer:
If x=6 & y=2 then 9+3+x-y wil be
9+3+6-2
=12+6-3
=18-3
=15
Answer:
Given, x=6 and y=2
so the expression we have 9+3+x-y will become,
9+3+6-2 !
and by adding 9 & 3 we will get,
=12+6-3
Now adding 12 & 6 we get,
=18-3
now by subtracting 3 from 18 we get,
=15
which is greater 5.7 or 4.2?
Answer:
5.7 is greater
Step-by-step explanation:
hope this helps
Answer: 5.7
Step-by-step explanation:
Which expression is equivalent to 4/5x + 11/5?*
Answer:
= 1/5 x (4x+11)
Step-by-step explanation:
On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.
Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?
Answer:
X = log(0.96)(0.85)
Step-by-step explanation:
Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:
792 x 0.96 ^ X = 674
X = 3.95
So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.
is 25/4 a rational number
Answer:
No.
Because,24/4=5.25
Answer:
Yes
Step-by-step explanation:
All rational numbers have endings. Since 25/4=6.25 it is rational
Click here to read aloud.
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
please answer asap with explanation qwq
Answer:
1. 55%
2. 190%
Step-by-step explanation:
1a. set up an expression.
33/60 = x/100
33 out of 60 is the 33 pounds out of the 60 weight limit. The x is what you're solving for, and the 100 is the given percent, because the percent is always going to be out of 100%.
1b. do cross multiplication; so do 33*100, which equals 3300
1c. divide; 3300 divided by 60, which equals 55.
For the second problem, do the same thing. your expression should be 114/60 = x/100
The Sparkle Farm grows both corn and wheat, among other crops. The cost of cultivating an acre of corn and an acre of wheat is $42 and $30, respectively. The farm has a total of $18,564 in order to cultivate these two crops, however, the farm must grow three times as many acres of corn as wheat in order to qualify forspecific government subsidies. How many acres of wheat must be cultivated
Answer: 119
Step-by-step explanation:
Let the acre of wheat to be cultivated be x.
Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x
The information given can be used to form a equation as:
42(3x) + 30x = 18564
126x + 30x = 18564
156x = 18564
x = 18564/156
x = 119 acres of wheat
Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
O x = 4.0000
Ox=4.7500
Ox= 4.6250
OX= 4.9375
Answer:
D on Edge
Step-by-step explanation:
Answer:
The Answer is D
Step-by-step explanation:
x = 4.9375
For f(x) = x+6 and g(x) = 2x + 3, find the following
a. (fog)(x)
b. (g of)(x)
c. (fog)(2)
Answer:
[tex](f o g)(x) = 2x + 9[/tex]
[tex](g o f)(x) = 2x + 15[/tex]
[tex](f o g)(2) = 11[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x+6[/tex]
[tex]g(x) = 2x + 3[/tex]
Solving (a): (f o g)(x)
In functions:
[tex](f o g)(x) = f(g(x))[/tex]
Solving for f(g(x))
[tex]f(x) = x+6[/tex]
[tex]f(g(x)) = 2x + 3 + 6[/tex]
[tex]f(g(x)) = 2x + 9[/tex]
So:
[tex](f o g)(x) = 2x + 9[/tex]
Solving (a): (g o f)(x)
In functions:
[tex](g o f)(x) = g(f(x))[/tex]
Solving for g(f(x))
[tex]g(x) = 2x + 3[/tex]
[tex]g(f(x)) = 2(x+6)+3[/tex]
Open bracket
[tex]g(f(x)) = 2x+12+3[/tex]
[tex]g(f(x)) = 2x+15[/tex]
So:
[tex](g o f)(x) = 2x + 15[/tex]
Solving (c): (f o g)(2)
In (a):
[tex](f o g)(x) = 2x + 9[/tex]
Substitute 2 for x
[tex](f o g)(2) = 2*2 + 9[/tex]
[tex](f o g)(2) = 4 + 9[/tex]
[tex](f o g)(2) = 11[/tex]
Hannah weighed 7.2 pounds at birth. Her weight was recorded at each of her infant doctor visits. The records from her appointments from birth to six months are shown in the table below. 1. Find the line of best fit: 2. Estimate Hannah's weight at her one-year visit:
So If Hannah weighed 7.2 lb at birth during the six months that are shown on the table hanna puts on 8.7 during those six months so if we’re estimating what her weight will be at her one year visit
8.7(what she put on during the six months)+ 15.9 (her weight now)= 24.6
Answer: I estimate she will weigh 24.6lb at her one year visit
Hope this helps
solve for k, will give brainliest
Answer: 73 degrees
Step-by-step explanation:
A line is 180 degrees. 180 - 115 = 65. 180 - 138 = 42
The interior angles of a triangle will also equal 180.
65 + 42 = 107
180 - 107 = 73
Answer:
253
Step-by-step explanation:
I didnt know if i added or multiply
The spinners are each spun once. what is the probability of spinning 2 and white?
A. 1/16
B. 2/5
C. 1/4
D. 3/5
Answer:
I'd say A
Step-by-step explanation:
Its my best guess, on the first spinner you have 1/4 the chance of getting 2 and on the other you have 1/4 the chance at getting white multiply,
1/4 * 1/4=1/16.
What is the domain of the function
Hope this will help you have a nice day
HELP PLSS IL GIVE ALOTS OF POINTS I PROMISE PLSSSSSSSSSS
Answer:
4. Between 11:30 and 12:00, they did nothing. The graph didn't go up or down, it just stayed the same meaning they did nothing.
5. 5 miles an hour
Step-by-step explanation:
In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.
Answer:
30 is the ratio
Step-by-step explanation:
-_-
One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.
Answer:
x = 21 and y = 3
Step-by-step explanation:
We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:
One number is six more than five times another number.
x = 5 y + 6
the sum of the numbers is 24
x + y = 24
solve for x in the second equation:
x = 24 - y
Use this to replace x in the first equation:
24 - y = 5 y + 6
add y to both sides
24 = 6 y + 6
subtract 6 from both sides to isolate the term in y
18 = 6 y
divide both sides by 6
y = 3
And now we can find x using:
x = 24 - y = 24 - 3 = 21
Therefore, x = 21 and y = 3
Simplify 2 + 3[4 + (7 – 3) – 23]
Answer:
27
Step-by-step explanation:
Hope this Helps! :)
Answer:
-43
Step-by-step explanation:
Help plzzzzzzzzzzzzzzz
Answer:
A.3d
hope it helps
Step-by-step explanation:
becuz its getting multiplied
Determine whether each pair of polygons is similar.
Answer:
yes
Step-by-step explanation:
What is
in exponential form?
2
Xy
2
xy
10
xay
xy
O
XY
5
xy
Answer: a
Step-by-step explanation:
Answer:
An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.
Step-by-step explanation:
Si se tienen 150 rosas y 90 margaritas, ¿de qué tamaño se deberá hacer arreglos de modo que no sobren flores?