Answer: 120 ft
Step-by-step explanation:
1 yard = 3 feet
40 yards = 120 feet
40*3=120
formula for an for the arithmetic sequence.
ah = -1, d = -7
Answer:
The formula for the arithmetic sequence will be:
[tex]a_n=-7n+6[/tex]Step-by-step explanation:
Given
a₁ = -1d = -7We know that we can get the next term of the Arithmetic sequence by taking the current term and adding the common difference.so
a₂ = a₁ + d
= -1 + (-7) ∵ a₁ = -1
= -1 - 7
= -8
similarly,
a₃ = a₂ + d
= -8 + (-7)
= -8 - 7
= -15
and so on
Thus, the Arithmetic sequence becomes
a₁, a₂, a₃, ...
-1, -8, -15, ...
as
a₁ = -1d = -7Therefore, An arithmetic sequence has a constant difference d and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = -1 and d = -7
[tex]a_n=-7\left(n-1\right)-1[/tex]
[tex]a_n=-7n+6[/tex]
Hence, the formula for the arithmetic sequence will be:
[tex]a_n=-7n+6[/tex]What is the solution for the equation?
a+8/3=2/3
A. a= -10/3
B. a= -2
C. a= 2
D.a=10/3
Answer:
[tex]a=-2[/tex]
Step-by-step explanation:
Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle
Answer:
1
Step-by-step explanation:
Area of rectangle
lw
So we have to factorise the expression
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+7)(x+6)
So
x+7-(x+6)
x+7-x-6
1
Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
(x – 1)2 + (y + 2)2 = 25
(x + 2)2 + (y – 1)2 = 5
(x + 2)2 + (y – 1)2 = 25
(x – 1)2 + (y + 2)2 = 5
Answer:
(x + 2)² + (y - 1)² = 25
Step-by-step explanation:
radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
r = 5
Circle: (x - h)² + (y - k)² = r²
center: (-2 , 1) h = -2 k = 1
(x + 2)² + (y - 1)² = 25
The equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where:
(a, b) is the centre
r is the radius
Given the following parameters
(a, b) = (-2, 1)
r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
Substitute into the formula to have:
(x-(-2))^2 + (x-1)^2 = 25
(x+2)^2 + (x-1)^2 = 25
Hence the equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Learn more om equation of a circle here: https://brainly.com/question/1506955
Transitive Property Definition of COMPLEMENTARY Angles Subtraction Property
M∠1 + M∠2 = 90° and M∠2 + M∠3 =90°
M∠1 + M∠2 = M∠2 + M∠3 M∠1 = M∠3
Definition of Congruent Angles
∠1 ⩭ ∠3
Lola gets two 20-minute breaks at work each day. She works 5 days a week. How much time does she spend on break each week?
Group of answer choices
Answer:
200 minutes / 3 hours & 20 minutes.
Step-by-step explanation:
This is quite simple.
First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.
20 × 2 = 40
This means she is on break for a total of 40 minutes each day.
Finally, let's take that 40 and multiply it by 5.
40 × 5 = 200
This means she spend 200 minutes (3 hours & 20 mins) on break each week.
6(3x/2-4) =30
Side note: 3x/2 is a fraction
Answer:
x = 6
Step-by-step explanation:
Given
6( [tex]\frac{3x}{2}[/tex] - 4 ) = 30 ( divide both sides by 6 )
[tex]\frac{3x}{2}[/tex] - 4 = 5 ( add 4 to both sides )
[tex]\frac{3x}{2}[/tex] = 9 ( multiply both sides by 2 to clear the fraction )
3x = 18 ( divide both sides by 3 )
x = 6
Answer:
x = 6
Step-by-step explanation:
[tex]6( \frac{3x}{2} - 4) = 30[/tex]
Dividing both the sides by 6 ,
[tex] = > \frac{6( \frac{3x}{2} - 4) }{6} = \frac{30}{6} [/tex]
[tex] = > \frac{3x}{2} - 4 = 5[/tex]
Adding 4 on both the sides ,
[tex] = > \frac{3x}{2} - 4 + 4 = 5 + 4[/tex]
[tex] = > \frac{3x}{2} = 9[/tex]
Multiplying both the sides by 2 ,
[tex] = > \frac{3x}{2} \times 2 = 9 \times 2[/tex]
[tex] = > 3x = 18[/tex]
Dividing both the sides by 3,
[tex] = > \frac{3x}{3} = \frac{18}{3} [/tex]
[tex] = > x = 6[/tex]
Which best fits in those boxes to find 46x93?
Answer:
Step-by-step explanation:
1.24
Answer:
3600
540
120
18
4278
Step-by-step explanation:
Which relation is not a function?
(-4, 6). (0, 6). (7, 6), (4, 6), (-7, 6)
(1, 3), (3, 5). (5, 7). (7, 9). (9,1)
(4, 1). (8, 2). (12, 3). (16, 4), (20, 4)
(7,3), (7, 6), (7, 9), (7, 12) (7, 15)
Answer: D ( 7,3 7,6 7,9 7,12 7,15)
Step-by-step explanation:
A- (-4, 0, 7, 3, -7) There are no repeating domains, therefore, this is a function
B- (1, 3, 5, 7, 9) The domain does not repeat, therefore this is a function
C- (4, 8, 12, 16, 20) The domain does not repeat, therefore this is a function
D- (7, 7, 7, 7, 7) The entire domain repeats, therefore this cannot be a function
Correct answer is D ( 7,3 7,6 7,9 7,12 7,15)
Please help with this question
Answer: Negative
Step-by-step explanation:
A is farther from 0 on the number line, whereas B is closer to zero. If A is negative and B is positive, B + A will be negative as the absolute value of A is greater than the absolute value of B (further from 0).
Answer:
The correct answer is B Negative
Step-by-step explanation:
When you are adding a negative, and a positive, if the negative will take over, and vice versa. For example if you were to add -8+3 it would equal -5.
What is y equal to ?
Answer:
y= 42
Step-by-step explanation:
angles in a triangle add up to 180
48+90=138
180-138= 42
(if you need the value of x)
180-48=132
132/2=66
x=66
(value of z)
90+66=156
180-156=24
z=24
$18 if it has 9 attendees. If there are 26 attendees, how much will the corporate team-building event cost? Solve using unit rates.
Answer:$52
Step-by-step explanation: I would first set up an equation. 9a=18 (a means attendees). Then, I would divide both sides by 9 to isolate the a. I would get a=2. So now I know that 1 attendee costs 2 dollars. If I want to find the cost for 26 attendees, all I would have to do is multiply both sides of the equation a=2 by 26. I would get 26a=52. So, 26 attendees cost $52. I hope this helps you out!
Can I get help with this I been stuck for days
Answer:
y = f(x + 2)
Step-by-step explanation:
PLEEAAASE IIIIIIIIIII NNNNNNNNNEEEEEEEEEEEEDDDDDDDD HEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPP
Answer:
9
Step-by-step explanation:
In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;
5u + 3(4u - 6) = -3u - 27 + 20u + x
Simplify, (distribute and combine like terms);
5u + 12u - 18 = 17u - 27 + x
17u - 18 = 17u - 27 + x
Inverse operations;
17u - 18 = 17u - 27 + x
-17u - 17u
-18 = -27 + x
+27 + 27
9 = x
Answer: 9
Step-by-step explanation:
Jimmys garden has a length of 2b
+ 4 and a width of 7b + 2. What is
the perimeter of the garden?
Answer: 18b + 2
Step-by-step explanation:
Length: 2b + 4
Width: 7b + 2
I assumed the garden is a rectangle shape since the length and width are different.
Perimeter = 2( L + w)
Then we just plug the values in.
2 (2b + 4 + 7b + 2)
2 (9b + 6) = 18b + 12
So, the equation for the perimeter of Jimmy's garden will be 18b + 2.
Carrie has a planter box with an area of 4/5 of a square meter. She wants to plant 10 snap pea seeds each with an equal amount of room to grow. What area will she give to school snap pea plant?
Answer: She will give 8 square meter area to school snap pea plant.
Step-by-step explanation:
Given: Area required by each planter box = [tex]\dfrac45[/tex] square meter
Total number of snap pea seeds = 10
The total area required = (Area required by each planter box ) x (number of snap pea seeds)
[tex]=\dfrac45\times10\\\\=4\times2=8[/tex]
Hence, she will give 8 square meter area to school snap pea plant.
PLEASE HELP FAST I NEED A EXPERT OR HIGHER 20 POINTS! I need the domain and range of each Graph 2 number so for example 5/1 or something THANKS!!
Problem 1
Answers:
Domain: [tex]-3 \le x < 5[/tex]
Range: [tex]-4 < y \le 3[/tex]
--------------------
Explanation:
The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.
The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is [tex]-4 < y \le 3[/tex]
===========================================
Problem 2
Answers:
Domain: [tex]-2 < x < 4[/tex]
Range: [tex]-2 < y < 5[/tex]
--------------------
Explanation:
We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.
===========================================
Problem 3
Answers:
Domain: [tex]1 \le x \le 4[/tex]
Range: [tex]-4 \le y \le -1[/tex]
--------------------
Explanation:
The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.
Write the prime factorization of 11. Order the factors from least to greatest (for example, 2 x 2 x 3 x 5).
Answer:
1 and 11.
Step-by-step explanation:
Because 11 is a odd number
PLEASE HELP Consider these functions f(x)=x+1
Answer:
fo(g(X)= 2/X +1.
Option C
Step-by-step explanation:
Hey there!
Given;
f(X) = x+1
g(x) = 2/X
Now, To find: (f o g(x))
[tex]fo(g(x)) = f(g(x))[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = f( \frac{2}{x} )[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{x} + 1[/tex]
Therefore, fo(g(X)= 2/X +1.
Hope it helps...
Select each pair of expressions that are equivalent. 3x + 14 – x + 112 and 4x + 134 2 + 6x and 2(3x + 1) 3(x + 1) – (1 – x) and 2x + 3 3x and 4(x + 1) – x – 4 5.5 + 2.2x + 3.8x – 4.1 and 1.4 + 6x
Answer:
Options (2), (4) and (5)
Step-by-step explanation:
Option 1
(3x + 14 - x + 112) and (4x + 134)
Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)
= 2x + 124
Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]
Option 2
(2 + 6x) and 2(3x + 1)
2(3x + 1) = (6x + 2)
Therefore, (2 + 6x) = (6x + 2) [Equivalent]
Option 3
3(x + 1) - (1 - x) and (2x + 3)
Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1
= (3x + x) + (3 - 1)
= 4x + 2
Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]
Option 4
3x and 4(x + 1) - x - 4
Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4
= (4x - x) + (4 - 4)
= 3x
Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]
Option 5
(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)
Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)
= (6x + 1.4)
Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]
Helpppzzzzzz
If 3% is half of a sharks gills and a car crashed on my roof, but the car had insurance so the moon blew up in disgust does that mean Santa’s not real??
if the 3% comes with the car in equation you take the amount of seperate asteroids created by the moon and divide it by that 3% then add the number 25 and use that to the power of 3 and then you get the answer:
Santa is and isnt real at the same time
HELP ME ASAP PLEASE!!!!
Answer:
D good luck
Step-by-step explanation:
Please need help with question
Answer:
A
Step-by-step explanation:
The correct answer to this problem is letter A.
Approximate the percent of values on the box and whisker plot that lie below 68?
50
75
25
49
Answer:
50
Step-by-step explanation:
Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000
Answer: the answer is -3000 i meant
Step-by-step explanation:
When graphing the inequality. 2 - 8> -20 is it open or closed dot, and is it shaded to the left or the right?
Answer:
I assume you know the 4 inequalites:
The 4 Inequalities
Symbol Words Example
> greater than x+3 > 2
< less than 7x < 28
≥ greater than or equal to 5 ≥ x−1
≤ less than or equal to 2y+1 ≤ 7
The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.
Hope it helps! Have a great day! :) let me know if it helped
which one is greater 14.09 or 14.090
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
jawan made a table to figure out how much he eearns at his job.
Answer:
uh can we see the chart
Step-by-step explanation:
(7,-4) and (-11,4) finding slope
Answer:
-4/9
Step-by-step explanation:
The triangles below are congruent and their corresponding parts are marked.
Answer:
I think it's a but I'm not 100 percent sure but I'd say a