Answer:
A.400
Step-by-step explanation:
Well perimeter for a rectangle is l+l+w+w
100+100+l+l=600
200+2l=600
Subtract 200 from both sides
2l=400
Divide both sides by 2
l = 400 feet
The length of the rectangle is 400 feet long.
what is the recursive formula for this geometric sequence 2, -10, 50, -250
Answer:
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
Step-by-step explanation:
Given
Geometric sequence: 2, -10, 50, -250
Required
Recursive formula of the sequence
We start by naming each sequence
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
Represent each term in relation to the previous term (except T1)
[tex]T_1 = 2\\T_2 =2 * -5\\T_3 = -10 * -5\\T_4 = 50 * -5[/tex]
Recall that
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
So, at this point; we have to make substitutions
[tex]T_1 = 2\\T_2 =T_1 * -5\\T_3 = T_2 * -5\\T_4 = T_3 * -5[/tex]
Subtract 1 from each term on the right hand side
[tex]T_1 = 2\\T_2 =T_{2-1} * -5\\T_3 = T_{3-1} * -5\\T_4 = T_{4-1} * -5[/tex]
Replace each term greater than 1 by n
[tex]T_1 = 2\\T_n =T_{n-1} * -5\\T_n = T_{n-1} * -5\\T_n = T_{n-1} * -5[/tex]
Remove repetition
[tex]T_1 = 2\\T_n =T_{n-1} * -5[/tex]
[tex]T_1 = 2\\T_n =-5T_{n-1}[/tex]
Hence, the recursive formula is
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
Help would be much appreciated
Answer:
Given
Step-by-step explanation:
Question 1)
Answer is c) 12.94 units
Because,
The sides will be √20,√20 and 4 units, so you add them
You get √20 through Pythagorean theorem √(2^2 + 4^2)
= 4.47
Question 2)
Answer:
3x^2 + 4y^0 +x^-1
Substitute the values,
3*(4)^2 + 4*(5)^0 + (4)^-1
3*16 + 4*1 * 1/4
( Any number raised to 0 is 1
4^-1 = 1/4^1 )
= 49
Answer:
Option C
49
Step-by-step explanation:
sides of triangle:
4√2²+4²=√20=4.47√2²+4²=√20=4.47P=4+4.47*2=12.94
Option C is correct
================
x=4, y=5
3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49
PLEASE ANSWER THE QUESTION ON THE SCREENSHOT ASAP!
Answer:
im not sure but possibly 5 if it goes in decreasing order
Step-by-step explanation:
from the top to the opposite side it decreases by 1 but other than that im not sure
If the volume of the planter is 2,560 cubic inches,how tall is the planter
Answer:
Height of Planter = H = 20 in²
Step-by-step explanation:
As the planter is not given in the question, the question is incomplete.
First, lets complete the question by attaching the diagram related to this question.
(SEE THE ATTACHMENT)
Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.
The right angled triangle has a width of 16 inches and a heights of 16 inches as well.
We know that the Area of a triangle can be calculated by following formula:
[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]
Substitute the values to find Area:
[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]
We also know that the Volume of a triangular prism is given by:
[tex]Volume=(Area)\cdot(Height)[/tex]
Where
Area = Area of the face = 128 in²
Height = Height of the planter = H
Volume = 2560 in³
Substitute the values and solve for H:
[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]
segment if a is a perpendicular bisector of segment BD if the measure of angle frd is represented by the expression 7x + 6 find the value of x
Answer:
x = 12
Step-by-step explanation:
If it is a perpendicular bisector, then the intercepting angles are always 90°.
If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.
ABC is reflected over the y-axis. What are the vertices of
A' B' C' ?
A (0-2), B'(-2,-4). C'(-5, -1)
A(-2,0), B(-4, 2), C (-1, 5)
A' (0.2). B (-2,4), C'(-5,1)
A'(0, 2). B' (2, 4). C'(5.1)
Answer:
The answer is the first option.
Step-by-step explanation:
When you flip it over the y axis. A would still be the same. ANd the first one matches A.
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³
Answer:
c
Step-by-step explanation:
20 cm
8 cm
8 cm
20 cm
15 cm
Find the area of the arrow above.
(?] square centimeters
Enter
Answer:
610 cm²
Step-by-step explanation:
This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.
To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.
Now we multiply and divide by 2 to find the area of the triangle:
20*31 * 1/2
= 310 cm²
Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:
A = 15*20
A = 300 cm²
Now we add these values to find the total area:
310 cm² + 300 cm²
= 610 cm²
-5 5/8 + 3 1/2
A: -3 1/8 B: -2 1/2 C: -2 1/8 D: -7/8
ASAP
Answer:
C
Step-by-step explanation:
You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.
What is the rate of change in the table?
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
The multiplicative inverse of (-4)⁻² is (4)⁻². True False
Answer: false
Step-by-step explanation:
The exponents would have to have a different sign from each other (positive or negative), not the integer.
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:
Sharyn needs yards of fabric to make a dress for herself and yards of the same fabric to make a matching dress for her daughter. If she buys yards of fabric, how much will she have left over?
A.
yards
B.
yards
C.
yards
D.
of a yard
Answer: The answer is C 5/8 yards
Step-by-step explanation:
Given that triangle PQR congruent triangle STU, , what is the measure of angle U ?
Answer: B or 52 degrees...
Step-by-step explanation:
Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.
In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.
The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.
Lee did 4/5 of her homework in 5/6h. How long will it take to complete all her homework?
4/5 of the homework = 5/6 hr
1/4 of the homework = 5/6 ÷ 4
5/5 of the homework = 5/6 ÷ 4 × 5
5/6 ÷ 4 × 5 = 25/24 hrs which is 1 and 1/24 of an hr
answer: 1 and 1/24 of an hr
can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.
Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side
Step-by-step explanation:
Answer: Its length is twice the 3rd side.
0.2 ✕ -0.5 ✕ ( -0.9- -0.7)
Answer:
0.02
Step-by-step explanation:
[tex]0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02[/tex]
Hope this helps!
0.02
[tex]solution \\ 0.2 \times \: - 0.5 \times ( - 0.9 - ( - 0.7)) \\ = 0.2 \times ( - 0.5) \times ( - 0.9 + 0.7) \\ = 0.2 \times( - 0.5) \times ( - 0.2) \\ = - 0.1 \times ( - 0.2) \\ = 0.02[/tex]
hope this helps..
Good luck on your assignment
Need help fast please
Answer:
Vijays temperature was 4 degrees warmer
Step-by-step explanation:
the difference between -18 and -22 is +4
Answer:
Vijay's temperature was warmer by 4 degrees celsius.
Step-by-step explanation:
-18 + 22 = +4
I hope this helps!
-Bella
BrainlyBluebell
Please helpppp what is the solution to the system of equations
Answer:
The third one
Step-by-step explanation:
Four statistics professors and six chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Step-by-step explanation:
Total professors = 10
Probability of chemistry professors = 2/6 = 1/3
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
A. c + 64 ≤ 120; c ≤ 56
B. c + 120 ≤ 64; c ≤ –56
C. c + 64 ≥ 120; c ≥ 56
D. c + 120 ≥ 64; c ≥ –56
Part B
Choose the graph of the solution on the number line.
Answer:
Part A: A
Part B: A
Step-by-step explanation:
1)
the inequality should be less than or equal to, since we need to find how many are left
now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few
thus, the answer is A
2)
A again is correct, since it represents:c ≤ 56
B represents c ≥ 56
C represents c ≤ –56
D represents c ≥ -56
A bowl contains 5 red balls and 5 white balls. Dorothy selects balls at random without looking at them. How many balls must she select to be sure she has at least two red balls?
Answer:
7
Step-by-step explanation:
To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.
The number of balls that Dorothy must select to be sure she has at least two red balls is 6.
How many balls must she select to be sure she has at least two red balls?To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.
Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.
In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.
Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.
Read more about probability here: https://brainly.com/question/25870256
#SPJ2
Can you please explian how this would be right I'm not understanding at all
Answer: 2 marbles
Step-by-step explanation:
Look at the scale. On the right there are 3 less squares. But there are more marbles! So, if you subtract three marbles (the ones that would make it equal to the left) and divide the marbles by 3 squares, you get 2!
PLEASE MARK BRAINLIEST
Answer:each box should weigh as much as 2 marbles
Step-by-step explanation:
On the first side of the scale theres a 5 next to the box and im assuming that means that there are 5 boxes on the first side of the scale. 5 boxes that each weigh 2 marbles + the 3 marbles that are already there = 13 marbles total
On the second side of the scale there are 9 marbles and 2 boxes. 2 boxes that each weigh 2 marbles + 9 marbles that are already there = 13 marbles total
So the scale will be balanced because there is 13 on each side
The M virus has a diameter of 5 x 10^-7meters, while the P virus measures about 2 x 10^-8meters in diameter. A) is the M virus or P virus larger in diameter? B) how many times as larger is the larger virus than the smaller virus?
Answer:
(A) The M virus is larger than the P virus in diameter
(B) Diameter of virus M is 25 times the diameter of virus P
Step-by-step explanation:
Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.
So we can write these values in decimal form for easier comparison of which one is he largest one:
Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]
Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]
Which clearly shows that virus M is larger than virus P in diameter
The quotient between diameters will give us the answer to how many times larger virus' M diameter is:
[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]
There was 1/5 of a gallon of lemonade in the refrigerator. Kelly poured equal amounts into 4 cups . How much lemonade was in each cup ?
Answer:
1/20 gallon per cup
Step-by-step explanation:
Find the distance between two points (2,-3)and (2-,4). what is the answer?
Answer: 1 squealer apart if on a square grid
Step-by-step explanation:
Answer:
The distance is 1
Step-by-step explanation:
Since the x coordinates are the same, we only need to look at the y coordinates
-3 - -4
-3 +4
1
Each question on a multiple-choice exam has four choices. One of the choices is the correct answer, worth 5 points, another choice is wrong but still carries partial credit of 1 point, and the other two choices are worth 0 points.
If a student picks answers at random, what is the expected value of his or her score for a problem?
_____points
If the exam has 30 questions, what is his or her expected score?
_____points
Answer:
1.5
45
Step-by-step explanation:
The probability for each answer is 1/4
(5+1+0+0)/4 = 6/4= 1.5Each question has an expected value of 1.5 points.
The expected score of the test is 30*1.5= 45 points
helppppppppp me please :(
Answer:
12.57cm
Step-by-step explanation:
circumference =2^r
=2×22/7×2
=12.57cm
PLEASE HURRY
Which equation is parallel to
5x - 10y = 6
and passes through (2, -1)
Answer:
y=1/2x-2
Step-by-step explanation:
How do I do this?
Calculate the number of protons and the number of neutrons for each of the below
Answer:
to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).
The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.
for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom