find the 7th term of the geometric progression which begins with -6250,1250,-250
Answer:
a₇ = - 0.4
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]
= - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4
What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1
Let us take the 2nd equation.
x + 2z = 4
x = 4 - 2z
Let us substitute this value of x in equation 1.
5x + 2y + z = 4
5(4-2z) + 2y + z = 4
20 - 10z + 2y + z = 4
2y - 9z + 20 = 4
2y = 9z - 16
y = (9z - 16)/2
Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.
2x + y - z = -1
2(4-2z) + (9z-16)/2 + z = -1
8 - 4z + (9z/2) - 8 + z = -1
Let us multiply both sides of this equation by 2.
16 - 8z + 9z - 16 + 2z = -2
3z = -2
z = [tex]\frac{-2}{3}[/tex]
x = 4 - 2z
= 4 + [tex]\frac{4}{3}[/tex]
= [tex]\frac{16}{3}[/tex]
y = (9z-16)/2
= ([tex]\frac{-18}{3}[/tex] - 16)/2
= ( [tex]\frac{-66}{3}[/tex])/2
= -22/2
= -11
Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].
Do 26 and if u want to do 27 too I’ll give Brainlynest
Answer:
26) translation: (x - 4, y + 3)
27) see down below
Step-by-step explanation:
26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).
27)
<1 = 135
<2 = 45
<3 = 45
<4 = x = 20
<5 = 135
<6 = 45
<8 = 135
you are riding the bus to school and you realize it is taking longer because of all the stops you are making
Answer:
Clearly, the answer is 17, because the difference in speed between a direct trip and one with the various stops of the bus is 46 hours and 6 minutes. However, rounding to the nearest hour, it is 46 0/2 hours, or 46 hours. Thus, accounting for the varying lack of stop signs, you can distribute the range of children and therefore extended breaks, allowing you to bring the time down to 16. However, if you translate hours to minutes on a broken calculator you get 14. So, the answer is 14
Brainliest??
Please answer! I will mark brainliest for best answer :)
Answer:
5
Step-by-step explanation:
Number of players injured in a game count the other side
PLEASE I REALLY NEED HELP What differences are there on the graph of f(x)=2x to the graph of h(x)=2x-3?
Answer:
The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?
Answer:
24 feet
Step-by-step explanation:
12 ÷ 18=16/y
2y=3*16
y=24
4x - 1
2.
= x + 7
Can someone help please?
Answer:
6[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
4x-12 = x+7
4x-12+12 = x+7+12
4x = x+19
4x-x = x+19-x
3x=19
x = 6[tex]\frac{1}{3}[/tex]
And if we substitute the value of x into the equation 4x-12 = x+7,
we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.
Hope this helps :)
A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance
Answer:
average speed = 8y/s
Step-by-step explanation:
What is the player's average speed over this distance ?Formula
s = d/t
d = 40 yards
t = 5 seconds
s = 40y/5s
= 8y/s
explain the differences between an equation and an equality. how do those differences affect solutions.
Answer:. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation:
Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?
Complete Question:
To create a bulletin board, Maryann is planning to stretch fabric from burlap sacks over cardstock. She collects 6 kg of burlap sacks. The area density of the burlap is 0.4 kg/m².
Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?
Answer:
To complete the bulletin boards for her friends, Maryanne should collect 6 kg of burlap more
Step-by-step explanation:
Mass of burlap sacks that Maryann collects = 6 kg
Area density of burlap = 0.4 kg/m²
Area Density = Mass / Area........(1)
The Area of bulletin board that can be made with the 6 kg of burlap sand can be calculated by using equation (1)
0.4 = 6 / Area
Area = 6/0.4
Area of bulletin board that can be made from 6 kg= 15 m² of bulletin board
The area of bulletin board that Maryann made for herself = 2 * 3 = 6m²
To make similar bulletin boards for her four friends, the total area of bulletin board made for her 4 friends = 6 * 4 = 24m²
To calculate the mass of burlap required to make a 24m² bulletin board, use equation (1)
0.4 = Mass / 24
Mass = 0.4 * 24
Mass = 9.6 kg
The mass of burlap used to make Maryann's bulletin board alone:
0.4 = Mass/6
Mass = 2.4 kg
Out of the 6kg that she got, she has used 2.4 kg for herself
The remaining mass of burlap = 6 - 2.4 = 3.6 kg
Therefore, to complete the bulletin board for her friend, she should collect (9.6 - 3.6) = 6 kg of bulletin more
2.2 units to the right of 0 horizontal number line
Answer:
2.2
Step-by-step explanation:
2.2 units to the right of zero indicates that the integer is positive on a horizontal number line.
0 + 2.2 = 2.2
Please answer it now in two minutes
Answer:
Triangle E, F, G and Triangle T, U, V.
Step-by-step explanation:
They both are congruent because have the same shape, same size, and they both mirror each other.
Answer:
Triangle EFG and triangle TVU
Step-by-step explanation:
You must use congruent segments and keep track of the corresponding sides and vertices.
Triangle EFG and triangle TVU
need help with this question, i dont think its hard for you.
ANSWER
Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3
The scale factor of the dilation shown in the diagram 2.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The image and pre image are shown in figure.
Now, We know that;
The basic formula to find the scale factor of a dilated figure is,
⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Substitute the given values, we get;
⇒ Scale factor = 6 / 3
⇒ Scale factor = 2
Thus, The scale factor of the dilation shown in the diagram 2.
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Answer:1/2
Step-by-step explanation:
got it right on edge
Plz write it for me how u got it ❤️On paper then send it to me
Answer:
See below in bold.
Step-by-step explanation:
1. x^2 - 13x - 30
We need 2 numbers whose product is -30 and whose sum = -13.
They are -15 and + 2:
Answer is (x - 15)(x + 2).
2. 2x^2 + 4x - 126
First we can take 2 out to give:
2(x^2 + 2x - 63)
Now we need 2 numbers whose product is - 63 and sum = +2.
These are +9 and - 7 so
Answer is 2(x - 7)(x + 9).
3. -30x^3 + 3x^2 + 9x
First we can take out -3x to give
-3x(10x^2 - x - 3)
Now we want 2 numbers whose product is 10*-3 = -30 and whose sum is -1. They are -6 and +5 so we write the above as:
-3x(10x^2 + 5x - 6x - 3)
Now we factor the parentheses by grouping:
= -3x( 5x(2x + 1) - 3(2x + 1)
= -3x(2x + 1)(5x - 3) Answer.
The answer to the second part is 12x^2 - 13x - 21.
Part 3
1, 18.
2. 6.
3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2
= 5*(67) - 2(72) - 48
= 143.
4. (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)
= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9
= 8m^2 - 4m - 5
A = 8, B = 4 and C = 5.
solve 2x - 1/5 + 2x - 19.6
Answer:
x = 4.95
Step-by-step explanation:
4x - 19.8 = 0
4x = 19.8
x = 4.95
The ant repeats the two steps 7 times going around the polygon until it reaches its starting position .the ant makes one complete revolution (360 degree) to draw this regular 7 sided polygon. The value of A correct to 1 decimal place is ____________
Answer:
(C)51.4 degrees
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).
Given a regular polygon, the sum of each exterior angle is calculated using the formula:
[tex]\dfrac{360^\circ}{n}[/tex] where n is the number of sides.
The regular polygon shown made by the ant has 7 sides.
Therefore:
Each exterior angle [tex]=\dfrac{360^\circ}{7}=51.43^\circ[/tex]
Therefore:
The value of A correct to 1 decimal place is 51.4 degrees.
The correct option is C.
Answer:
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
Step-by-step explanation:
Given information:
The ant repeats the two steps 7 times going around the polygon
The sum of the exterior angle of polygon is [tex]360^o[/tex]
The formula for the exterior angle is
[tex]= 360/n[/tex]
Here,
[tex]n=7[/tex]
Hence, the Value of A will be
[tex]A=360/7\\A=51.4^o[/tex]
The correct value of A to 1 decimal place is [tex]51.4^o[/tex].
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Triangle X Y Z is shown. If m∠X = 34° and m∠Z = 26°, what is m∠Y?
Answer:
given, triangle XYZ in which m of angle X=34°
angle Z= 26°
now,angle Y =?
we have,
AngleX + angle Y+ angle Z = 180°
or, 34°+angle Y +26°=180°
or, angle Y= 180°-60°
therefore, angle Y =120°.
hope it helped..
Answer:
Triangle X Y Z is shown.
If m∠X = 34° and m∠Z = 26°, what is m∠Y?
Answer:
m∠Y = 120°
Step-by-step explanation:
I just took the test and got 100% on Edge2021
What is the range of the function shown on the graph above?
Answer:
A.
Step-by-step explanation:
Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.
Find the probability that a student earns a grade D or F
Answer:
P=.14 or 1/7
Step-by-step explanation:
P(d)=3/35
P(f)=2/35
P( D or F) = 3/35 + 2/35=
1/7 or .14
what are the points of intersection of -x^2+9x-3 and y=3x
Answer:
Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.
Alternatively, you can use substitution to solve for your answer.
Step-by-step explanation:
1) Point M divides line segment AB, in the direction from A to B. in a ratio of 4 to 9. What value on the number line
would indicate the location of point M?
Answer:
Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
Two points A and B have been given on a number line.
Point A is at -3 and point B at 7.
Distance between these points AB = 7 - (-3)
= 7 + 3
= 10 units
Another point M divides the given segment AB in the ratio of 4 : 9.
Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]
= [tex]\frac{40}{13}[/tex]
= [tex]3\frac{1}{13}[/tex] units
Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]
Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °
Answer:
y is equal to 50 degrees.
Step-by-step explanation:
The sum of the angles of a triangle is always 180 degrees. To find what y is, subtract 80 from 180 and divide the difference by 2. This will give you 50 degrees.
Answer:
y= 50°
Step-by-step explanation:
∠A =∠B = y. So, ΔABC is an isosceles triangle.
Sum of angles of triangle = 180
∠A + ∠B + ∠C = 180
y + y + 80 = 180 {add like terms}
2y + 80 = 180 {Subtract 80 from both sides}
2y + 80 - 80 = 180 - 80
2y = 100 {divide both sides by 2}
2y/2 = 100/2
y= 50°
I'm kind of unsure of my answer, please help me. I appreciate your answers.
Find two consecutive integers whose sum is 113. Which of the following equations could be used to solve the problem?
choices:
2 x + 1 = 113
[tex]x^{2}[/tex] + 1= 113
2 x = 113
2 x + 2 = 113
Answer:
We can call the numbers x and x + 1. Then we can write:
x + x + 1 = 113 which simplifies to 2x + 1 = 113.
Answer:
Hey there!
The correct answer would be x+x+1=113, or 2x+1=113.
Let the smaller number be x, then the larger number would be x+1
Thus, the sum of x and x+1 would be 2x+1.
We have that 2x+1=113.
Now, this is just a simple linear equation we have to solve.
Start by subtracting 1 to get 2x=112
Then, divide by 2 to get x=56
Since x=56, x+1 would be 57.
Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.
Hope this helps :)
Which equation has no solution?
1. 4(x+3)+2x=6(x+2)
2. 5+2(3+2x)=x+3(x+1)
3. 5(x+3)+x=4(x+3)+3
4. 4+6(2+x)=2(3x+8)
Answer:
Number 3 does not have a solution
Step-by-step explanation:
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Answer:
3 1/3 hours
Step-by-step explanation:
In 2 hours, the first guy did 2/6 = 1/3 of the job. Meanwhile, the new guy did 2/8 = 1/4 of the job. When the first guy left, the remaining amount of the job was ...
1 - 1/3 - 1/4 = 12/12 -4/12 -3/12 = 5/12 . . . . . fraction of job remaining
So, completion of the remaining 5/12 of the job will take the new guy ...
(5/12)(8 hours) = 10/3 hours = 3 1/3 hours
A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?
Answer:
children take 3 pieces of candy are 6
Step-by-step explanation:
x+y=19-1 x+y=18
3x+5y=85-7 3x+5y=78
eliminate x by multiplying the first equation by 3:
3x+3y=54
3x+5y=85 subtract
(3x+3y)-(3x+6y)=54-78
3x-3y-3x-5y=-24
-2y=-24 y=-24/-2=12
y=12 , substitute for y:
x+y=18
x=18-12
x=6
check: 3x+5y=78
3(6)+5(12)=78
18+60=78 correct
can someone please help me
Answer:
C. Adding 18 to both sides isolates the variable term
Step-by-step explanation:
We can get rid of A and C because we can clearly see that we are adding, not subtracting.
The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.
Linear Equations HELP ASAP
Answer: D) y = -1/4x + 6
Step-by-step explanation:
First turn the equation into slope-intercept form: y = 4x + 6
For a line to be perpendicular to another line, it's slope must be the opposite reciprocal of the other perpendicular line. Thus, the slope of the perpendicular line is -1/4. As the y-intercept of the line is (0,6), the lines must intersect as (0,6). Thus, the other line must also have a y-intercept of 6. Thus, the answer is D.
Hope this helps <3