Answer:
diverging
Step-by-step explanation:
A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.
So, if for example, we have:
[tex]A_n > A_{n-1}[/tex]
We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.
In this case we have the series:
1/4, 1/2, 1, 2
So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.
What does it mean buy “Determine the total volume of the doghouse.”
I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
14.
Solve x2 + 2 = 6 by graphing the related function.
A. There are no real number solutions.
B. There are two solutions: ±[tex]\sqrt{8}[/tex].
C. There are two solutions: 2 and –2.
D. There is one solution: 2
Answer:
C. There are two solutions: 2 and –2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we have
we know that
The solution of the function is equivalent to solve the following system of equations
------> equation A
------> equation B
The x-coordinate of the intersection point both graphs is the solution of the given function
Using a graphing tool
see the attached figure
The intersection points are and
therefore
The solution of the given function are
Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.
Answer: option C.
Step-by-step explanation:
Given a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.
The options A is not opened upwards, then it is not the answer.
Then the given equation can be written as:
This function is equal to the parent function, shifted 4 units down.
Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).
Then, the correct option is C. And the solution is:
What is the factorization of 49b2 − 81?
Step-by-step explanation:
The factorisation of 49b^2 - 81 is (7b - 9)(7b + 9). This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number
Answer:
(7b - 9)(7b + 9)
Step-by-step explanation:
49b2 - 81
49 - 7 x 7
b2 - b x b
81 - 9 x 9
(a + b) (a - b) = a2 - b2
(7b - 9)(7b + 9)
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
2 points
4] The spinner below is cut unevenly. The probability of spinning a 1 or 4
are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the
probability of spinning an odd number if the probability of spinning a 2 is
16%? Type in a numerical value in percent form with the % symbol (no
spaces). For example: 1%*
Answer:
Probability of spinning an odd number is 84%
Step-by-step explanation:
The probability of spinning a 1 or 4 is equal. Let this probability be X
Probability of spinning a 2 is 1/16
Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%
Sum of spinning 1,2,3 and 4 is equal to 100%
X + 16% + X + 8% = 100
2X = 100 - 16-8
X = 76%
Probability of spinning an odd number i.e one and 3 is
76% + 8% = 84%
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?
Answer:
$45
Step-by-step explanation:
[tex]180 \times 25\%[/tex]
[tex]180 \times \frac{25}{100} [/tex]
[tex] \frac{18 \times 25}{10} [/tex]
[tex] \frac{450}{10} [/tex]
[tex]45[/tex]
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
What are the coordinates of the point 1/6 of the way from a to b?
Answer:
B. (2, 6)
Step-by-step explanation:
Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2
Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))
= 8+(-2) = 6
the coordinate => (2, 6)
The sum of a number and its square is 12 . Find the number
Answer:
Two solutions
3
-4
Step-by-step explanation:
3 + 3²
3 + 9 = 12
-------------------
-4 + (-4)²
-4 + 16 = 12
Will mark brainly thanks
Answer:
The 8th term of the sequence is 255
Step-by-step explanation:
To find the 8th term of the sequence, we have to use the given sequence formula
All we have to do here is to make a substitution
We simply have to substitute the value 8 for n as follows;
a8 = 2^8 - 1
a8 =256-1
a8 = 255
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Answer:
1 /24
Step-by-step explanation:
Given the 3 spinners :
Probability = required outcome / Total possible outcomes
Probability that Spinner 1 lands on A :
P(spinner 1 lands on A) = 1/2
Probability that spinner 2 lands on 4 :
P(lands on 4) = 1 / 4
Probability that spinner 3 lands on green :
P(lands on green) = 1/3
Combined probability = 1/2 * 1/4 * 1/3 = 1 /24
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
hi pls help me out asap 1
Answer:
B: 112.5
Step-by-step explanation:
first, we split up the rhombus into two triangles, with the height of 15 and the length of 7.5. when you multiply these you will get 112.5, and normally if you are just getting the area of the triangle, then you would divide it by two, but seeing that we have 2 triangles here, we would multiply it by two afterwards so an easier way to do it is just to not divide.
Can I pls get help on this ASAP!!
Step-by-step explanation: 6dsdsnds
Use the drop-down menus to complete the statements to match the information shown by the graph.
Which inverse of the difference of 1/3 - 1/4?
Answer:
0/1
Step-by-step explanation:
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10
2) find the volume of the trapezoid prism 7in 6in 4in 12in
Answer: 228 in3 (sorry I don’t know how to do the mini number at the top)
A guitar is originally priced at $80. The online retailer gives a discount and the guitar is now priced at $44. Enter the percentage discount for the cost of the guitar. (PLEASE ANSWER THIS I NEED THE ANSWER BY TODAY RIGHT NOW!!!)
Answer:
The percentage discount for the cost of the guitar is 45%.
Step-by-step explanation:
First let's find the difference between the original price and the new price.
80 - 44 = 36
So the actual discount got the price down by $36.
To find the percentage discount we need to ask ourselves the question
36 is what percent of 80?
36 = X percent of 80
In math, of means multiply.
36 = X percent * 80
So to get the "X percent" part alone we divide by 80 on both sides.
36 divided by 80 = 0.45
36 is 45 percent of 80.
The percentage discount for the cost of the guitar is 45%.
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
- - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
Which is longer - the radius or the circumference of a circle?
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
angle H and angle D are supplementary. If angle H has a measure of 128 degrees, find the measure of angle D
m<H + m< D = 180°
Since m<H and m<D are supplementary angles.
128°+m<D =180°
m<D = 180-128
m<D = 52°
Answer: m<D = 52°
Answer:
angle D=52 degree
Step-by-step explanation:
In supplementrary angles sum of two angles is always 180 degree
angle H +angle D=180 degree (since they are supplementary angles)
sbstitute the value of H
128 + angle D=180
angle D=180-128
angle D=52 degree
therefore angle D is 52 degree.
12. You are driving on a major highway. If you drive in the left lane traffic is moving at 60mph, if you drive in the right lane, traffic is moving at 40mph. You can drive a maximum of 10 hours and need to go a minimum of 500 miles. Use the above information to answer part a and b below: 12a. Create a system of inequalities to model the potential travel time in 3 points each lane.
12b. If you want to spend an amount of time in each lane, would this allow you to reach your goal of driving 50 miles? just to fight your conclusion
you are driving onajor highway 94 mp
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
