Answer:
[tex]S_n =[/tex] -2497
Step-by-step explanation:
We are given an arithmetic series with the following terms:
First term, [tex]Q_1[/tex] = -40
Common difference, d = -7
Number of terms, n = 22
To find out: Sum of n terms, where n is 22
We know that Sum of n terms in an arithmetic series is given as:
[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]
Putting the values in the formula:
[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]
So, the sum of 22 terms is -2497.
A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule
Answer:
(x, y) → (x + 8, y + 4)
Step-by-step explanation:
Answer: C
Step-by-step explanation
Just took the test
Which of the following ribbon has the greatest cost per inch?
You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.
classify the number as rational or irrational 2√5
m2.24
Step-by-step explanation:
I did the math and got 2.236 and rounded it and got 2.24.
WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct x-intercepts.
b. The graph has three distinct x-intercepts.
c. The graph has no x-intercepts.
d. The graph has one x-intercept.
Answer:
c. The graph has no x-intercepts.
Step-by-step explanation:
because it will never touch the x axis
A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts
There are three possible roots of a quadratic function
Complex rootsDistinct real rootsRepeated real rootsWhen [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:
The function has distinct real roots
In other words, the function has 2 different values of x
This implies that,
The function crosses the x-axis two times
When the function cross the x-axis, it means that the function has an x-intercept
Hence, the conclusion is:
a. The graph has two distinct x-intercepts.
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Simplify the following expressions by using distributive property. 3x^2(4x-3)
Answer:
12x^3-9x^2
Step-by-step explanation:
[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]
Hope this helps!
10 pts!
How can you determine if two triangles have a scale factor?
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
Un cazador se encuentra en la parte mas alta de un arbol. Para averiguar a que altura se encuentra, deja caer una bola, observando que demora 4 segundos. Encuentra el alto del arbol (g=10m/s2)
Answer:
80 m
Step-by-step explanation:
La velocidad inicial de la pelota es 0 m/s.
La altura del árbol es s.
El tiempo necesario es de 4 segundos.
Podemos aplicar una de las ecuaciones de movimiento de Newton:
[tex]s = ut + \frac{1}{2}gt^2[/tex]
donde u = velocidad inicial
t = tiempo empleado
g = aceleración debido a la gravedad
Por lo tanto:
[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]
El árbol tiene 80 metros de altura.
LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!
Which is not a pair of congruent angles in the diagram below?
A) EAB=CDB
B) ABE=DBC
C) AEB=DCB
D) AEB=CDB
Answer:
The Correct answer is D
Step-by-step explanation:
I got it right on my test :)
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
Given function f(x) = x + 2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
Step-by-step explanation:
Given function
[tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]
let [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]
The Factor [tex]x^{2} - 3 x - 10[/tex]
x ² - 5 x + 2 x - 10
x ( x -5) + 2 (x-5)
[tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]
y = x +2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?
Answer:
15552 in^3
Step-by-step explanation:
Volume formula for a cube of side length s: V = s^3.
Then the total volume here is:
(24 in)^3 + (12 in)^3 = 15552 in^3
what is the answer to -3x - 6+ (-1)
Answer:
-3x-7
Step-by-step explanation:
Answer:
-3x - 7
Step-by-step explanation:
15 / 80
a) Work out 4 1/7 + 1 1/2
Answer:
5 9/14
Step-by-step explanation:
4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14
first put them into improper fractions, makes it easier
29/7 + 3/2
make the denominator the same
58/14 + 21/14 = 79/14
put it into a mixed fraction
79/14 = 5 9/14
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)
Answer:
vertex = (- 4, - 18 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
The the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 8x - 2 ← is in standard form
with a = 1 and b = 8 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4
Substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18
vertex = (- 4, - 18 )
The vertex of the parabola is (-4, -18).
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
Completing the square.
f(x) = x² + 8x - 2
f(x) = (x + 4)² - 18
Therefore,
The vertex of the parabola is (-4, -18).
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Please help me with my question!!
Answer:
Step-by-step explanation:
Area of triangle = (1/2)bh
[tex]=\frac{1}{2}*25*21.65\\\\[/tex]
= 270.625 cm²
Area of 6 triangles = 6 * 270.625
= 1623.75 cm²
Trapezium:
a = 25 cm
b = 25 + 12.5 +12.5 = 50 cm
h = 21.65 cm
[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]
=811.875 cm²
Area of two trapezium = 2 *811.875
= 1623.75 cm²
Area of star = 1623.75 +1623.75
= 3247.50 cm²
Answer:
3247.50 cm sq
Step-by-step explanation:
A machine is programmed to make a horizontal cut along
the x-axis, trimming the sides of the satellite dish. What is
the resulting width of the satellite dish, in feet?
Answer:12ft
Step-by-step explanation:
As per linear equation, the resulting width of the satellite dish is 12 feet.
What is a linear equation?A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.
The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).
Therefore, the width of the satellite dish is
= (6 + 6) feet
= 12 feet
Therefore, the width is 12 feet.
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A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math
Answer:
119,940 books are not about math.
What I did:
60x2000=120,000
120,000-60=119,940
Answer:
119940
Step-by-step explanation:
.05 % are about math
b= books
b * .05% = 60
Change to decimal form
b * .0005 = 60
Divide each side by .0005
b = 60/.0005
b =120000 books in the store
we want the ones not about math
120000-60
119940
Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off
Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
NEED HELP ASAP!!
Will give BRAINILESS!!
ATTACHED PICTURE
Answer
D= t^2 + 5.6
Step-by-step explanation:
D= t + 5.3 x t + 0.3
D= t^2 + 5.6
Someone please help me :( I’m struggling
Answer:
ax - by = k
Step-by-step explanation:
A literal equation is an equation made up of variables representing numbers that can be changed
ax - by = k is a literal equation because there are no numbers
Letters stand for each item
there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class
Answer:
[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]
Step-by-step explanation:
Given:
In a class the ratio of boys to girls is 4:7.
The total number of students is between 24 and 40.
Solve for:
The total number of students
Solution:
The total number of student could be divided in portions with ratio 4:7
=> It must be the divisor of (4 + 7) or 11.
Otherwise, it is a number between 24 and 40.
There is only one divisor of 11, lying between 24 and 40. That is 33
=> The total number of students: 33
Hope this helps!
:)
At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?
Answer:
labron james
Step-by-step explanation:labron james labron james labron james
Answer:7c
Step-by-step explanation:
idk.
factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
Find the area of the following trapezium:
26 cm
21 cm
33 cm
Write appropriate units with your answer.
Answer:
619.5cm2
Step-by-step explanation:
Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.
Hence the are of trapezium is half sum of the parallel sides × height.
Expressed mathematically we have:
1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2
A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?
Answer:
108.3%
Step-by-step explanation:
The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000
Selling price= $25,000
Cost price=$12,000
Gain= selling price-cost price
= 25000-12000
= $13000
The percentage profit can be calculated by applying the formular below
Profit= Gain/cost price×100/1
=13000/12000×100/1
=1.083×100
= 108.3%
Hence the percentage profit is 108.3%
Answer:
52%
Step-by-step explanation:
Step one
In this problem we we have to calculate the profit made after spending a certain amount on the car
Step two
Given that he spent $12000 for parts
And he sold the car for $25000
The profit made is
=Cost of car - cost of repair
= 25,000-12,000
=$13,000
The profit made is $13,000
Step three
Using the cost of the car and the profit realized we can calculate the percentage of the profit made
= (13,000/25,000)*100
= 0.52*100
=52%
which of the following descriptions represents the transformation shown in the image?
Answer:
C. left two units, up three, reflection on the x = -1
A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight
Answer:It weights 8 oz.
Step-by-step explanation:
[tex]\frac{3}{0.75} = \frac{x}{2}[/tex] solve by cross product
0.75x = 6 now divide both sides by 0.75
x= 8
in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period
Answer:
42000
Step-by-step explanation:
First of all, we need to find 20 percent of 35000.
35000×20 / 100 = 7000
now we increase the bed cost by 20 percent.
35000 + 7000 = 42000
Answer:
5000
Step-by-step explanation:
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
Answer:
70
Step-by-step explanation:
Z is part of a right angle so 90-20 is 70
2000 soldiers stand in a row. Beginning from the left, each soldier calls out a number, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. Beginning from the right, each soldier calls out a number 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. How many of these soldiers call out a number 3 when beginning from the left and right??
Answer:
The number of soldiers that call out a number 3 is 666 soldiers
Step-by-step explanation:
The parameters given are;
Number of soldiers = 2000
Soldiers calling from the left = 1, 2, 3,.....
Soldiers calling from the right = 1, 2, 3,.....
Therefore, since the number soldiers calling out the number 3 are 1 in 3 from the left and 1 in 3 from the right, we split the soldiers into 2 groups of 1000, with one group calling from left and the other group calling from the right;
The number of 3s in called out in the first group from the left is therefore;
1000/3 = 333.33 which is 333 soldiers or from the 3rd soldier to the 999th soldier
Similarly the number of 3s called out from the second group = 333
Hence the total number of soldiers that call out a number 3 = 333 + 333 = 666 soldiers.
Lines l and m are parallel. Parallel lines l and m are intersected by lines s and t. At the intersection of lines l, s, and t, clockwise from the top left, the angles are blank, 50 degrees, (x + 25) degrees, (2 x) degrees, 1, blank. Lines t, s, and m create a triangle with angles 1, 2, 3. Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180
Answer:
A, c, d, e
Step-by-step explanation:
on edg
The correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
What are parallel lines?Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.
Given that, two parallel lines l and m are intersected by lines s and t. some angles are made by them, we need to select the correct options for them,
Correct options with reasons :-
∠ 1 = 50° is a true statement because they are vertically opposite angles.
m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°, is a correct statement because they are interior angles of a triangle.
50+2x+x+25 = 180, is a correct answer because they are angles lying in a straight line.
Hence, the correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
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