Answer:
a₃₁
Step-by-step explanation:
The terms have a common difference between consecutive terms, that is
d = 84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
To find when [tex]a_{n}[/tex] < 0 , solve
90 - 3n < 0 ( subtract 90 from both sides )
- 3n < - 90
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then
n > 30
Thus the 31st term will be the first negative term
Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375
Answer:
D
Step-by-step explanation:
Find the vertex
¼(x-5) = (y-2)²
x-5 = 4(y-2)²
x = 4(y-2)² + 5
This is a right-opening parabola with vertex (5,2).
focal length p = 1/(4·coefficient of y²) = 0.0625
directrix: x = 5-p = 4.9375
D
The equation of directrix of the parabola will be x = 4, i.e. Option A.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]
Now,
Rewrite as,
[tex](x - 5) = 4(y - 2)^2[/tex]
Now,
[tex]x= 4(y - 2)^2+5[/tex]
Now,
Comparing it with the vertex form,
i.e.
[tex]x = a ( y - h )^ 2 + k[/tex]
Vertex of parabola = (2, 5),
So,
Focus at (a, 0),
So,
Focus of the parabola = (4, 0),
i.e., a = 4
Now,
The Equation of directrix is given by x = a
So,
The equation of the directrix of this parabola,
x - a = 0,
i.e.
x - 4 = 0
⇒
x = 4
Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.
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If Sara have 3 Appels and hany have 20 apples how many we have in total
Answer:
23
Step-by-step explanation:
20+3=23
Simplify using order of operations
(6 - 3)^2
1. 8
2. 6
3. 9
Sabrina has a rectangular swimming pool in her backyard. She fills it with water to the depth of 4 feet. The water in the pool has a volume of 1600 cubic feet. What are the possible dimensions of the swimming pool with the given depth? Select ALL that apply. WHAT IS THE ANSWER????? PRETTY PLS AND THANK YOU
Answer: [tex]20\times 20, 16\times 25, 10\times 40[/tex]
Step-by-step explanation:
Given
The volume of the pool is [tex]1600\ ft^3[/tex]
Depth of water is [tex]d=4\ ft[/tex]
Suppose A is the base of the pool
[tex]\Rightarrow V=A\times d\\\Rightarrow 1600=A\times 4\\\Rightarrow A=400\ ft^2[/tex]
This area can be written as
[tex]\Rightarrow A=10\ ft\times 40\ ft\ or\\\Rightarrow A=16\ ft\times 25\ ft\ or\\\Rightarrow A=20\ ft\times 20\ ft[/tex]
help a b outttttttt please
Answer:
The two numbers are 9 and 11
find the value of given expression
[tex] \sqrt{369 \times 369} [/tex]
Answer:
√{369×369}=√369²=369 is your answer
Answer:
your answer will be 369
Step-by-step explanation:
......
Solve the unit rate
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
See the thing on the left?
▢ unknown
- = -
▢ 1
Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!
::::;
Julius’s walking rate is
(12 miles)/(3 hours) = (4 miles)/(1 hour)
time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles
time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles
time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles
time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours
time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours
A fish swims upstream a distance of 16 miles In a river with a current of 3 miles per hour. The fish returns swimming
downstream the same distance. The roundtrip up and down the river takes the fish 4 hours. Assuming that the fish
swims at a constant speed in still water, what is the fish's speed in still water?
Use only numbers. DO NOT include units!
Answer:
16÷3×4
Step-by-step explanation:
SOLVE ALL OF THAT AND THATS THE ANSWER THANK ME LATER UwUHelp please. I need this in a few minutes
Answer:
Step-by-step explanation:
Natalie and Breanna decide to buy chocolates and giant sour keys for the class. They buy 130 giant
sour keys and chocolates combined. If they spend a total of $66.85 in total, and chocolates cost $0.22
and giant sour keys cost $1.07, how many of each did they buy?
please explain step by step do you can!:)
Answer:
148
Step-by-step explanation:
What is the area of this figure?
(Use = 3.14 and round to two decimal places.)
0.1 cm
Answer:
the area of above figure is 0.31 cm^2
Answer:
A ≈ 0.03 cm²
Step-by-step explanation:
Area of a circle = πr²,
where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),
and r² is the radius squared or multiplied by itself once.
Given that the radius is 0.1 cm in this situation,
the area of this circle is as follows:
A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →
(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →
0.0314 cm² ≈ 0.03 cm²
If w= <2, -5> and y= 2,0>, find 2w+y
A. <6,-10
B. <4,-5>
C. <-10,2>
D. <-6,10>
Answer:
B
Step-by-step explanation:
F un gong jjkpjm d gjgyfgdbb
A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?
Answer:
We are to find the number of different meals that are available when we select an appetizer, an entree and a dessert. Thus, the required number of different meals is 216.
Step-by-step explanation:
PLZZZZZZZZ GIVE ME BRAINLYIST
The required number of the combination is 384. Option C is correct.
A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
For 12 appetizers, 8 entrees, and 4 choices of desserts.
The number of composite combinations that can be made = 12 * 4 * 8
= 384
The required number of the combination is 384. Option C is correct.
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HELP NOW WILL GIVE POINTS TO IF HELPED, If the JellyBelly factory had a bagging machine that loaded 1000 jelly beans into a bag that is allowed a 0.5% error range amount. What is the range of jelly beans [x] that could be in the bag, without it being rejected? : x ,
Answer:
just search up Mathaway in your browser you will get your answer and a step by step explanation!
Step-by-step explanation:
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
each friend spends $10 60 = 6 x m
Use the diagram to complete the statements.
The measure of angle L is
70
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
A robot’s height is 3 meters 40 centimeters. How tall is the robot in millimeters?
Answer:
3400
Step-by-step explanation:
if you add it all up in cm, which is 340cm then divide by 10 you get 3400.
A driveway measures 1.25 miles.
What does the driveway measure in feet?
Answer:
If you have a conversion table that would be 6600 feet.
Step-by-step explanation:
brainliest? >.<
Answer:
I think it's 3,960 ft!
Please give brainliest!
Gary is 4 years less than three times his brothers age, b. The sum of Gary and his brothers' age is 52. Write an equation to represent this relationship. Please need ASAP. 10 POINTS!
Answer:
52 = b + (3b - 4)
Find the following arc measures for question 2
Answer:
arc BC = 16°
arc ABC = 196°
Step-by-step explanation:
arc BC = 180 - 164 = 16
arc ABC = 180 + 16 = 196
9x-12=3x show your work
Answer:
x=2
Step-by-step explanation:
given 9x-12=3x we want to solve for x
To do so we need to isolate the variable using inverse operations
to get rid of the 9x we subtract each side by 9x
9x - 9x cancels out
3x - 9x =-6x
now we have
-12=-6x
now we want to get rid of the -6
to do so we divide each side by -6
-6x/-6=x
-12/-6=2
we're left with x=2
Answer:
9x=3x+12
9x-3x=12
9x-3x=12
6x=12
x=2
solution
x=2
Tim was given $100 for his twelfth birthday. He's curious to see how much it will grow to if he earns interest on it. His mother tells him that she has about $3,000 in the same kind of account and she earned $60 last year. About how much interest could Tim expect to eam in a year?
Answer:
$102
Step-by-step explanation:
3000 x Y = 3060
3060/300 = Y
Y = 1.02
100 x 1.02 = $102
Hope this helps!!
HELP ME QUICKLY PLEASE!
JUST ANSWERS!
NO EXPLANATION NEEDED!!!!!!!!!
I PUT IT DOWN AS 50 POINTS!!!!!!!!
Answer:
11. 25
12. 60
13. 93
14. 46
15. 51
16. 85
Answer:
#11
Complementary angles ad to 90°
b = 90° - 65° = 25°#12
Alternate exterior angles are congruent
b = 60°#13
Complete angle and angle addition postulate
b = 360° - (244° + 23°) = 93°#14
Vertical angles are congruent
b = 46°#15
Complementary angles add to 90°. Straight angle is 180°
b = (180° - 90°) - 39° = 51°#16
Alternate interior angles are congruent
b = 85°Suppose the points shown on the coordinate plane are vertices of a rectangle. Which statements are correct? A) The perimeter of the rectangle is 14 units. B) The perimeter of the rectangle is 28 units. C) The coordinates for the fourth vertex of the square are (5, 5). D) The coordinates for the fourth vertex of the rectangle are (−5, −6). E) The coordinates for the fourth vertex of the rectangle are (−5, −3).
Answer:
A
Step-by-step explanation:
Answer:
I beleive it is A and C i just took the test!
Step-by-step explanation:
yourwelcome! :)
Which expression shows the result of applying the distributive property to 12(5y+4)?
60y + 4
5y + 48
17y + 16
60y + 48
Answer:
60y+48
Step-by-step explanation:
Simplify:
64 ÷ 8 + 6 (2)
A. 23
B. 20
C. 17
Answer:
B. 20
Step-by-step explanation:
64 ÷ 8 + 6(2)
64 ÷ 8 + 12
8 + 12
20
Answer:
B) 20
Step-by-step explanation:
64/8+6(2)
8+6(2)
8+12
20
Can you guys help me? Best answer gets branliest
Answer:
its less than one i think cause ive answered this same question not to long ago
Step-by-step explanation:
Answer:it’s greater than
Step-by-step explanation: because in the measures of DEF those are bigger
The table shows the amount of rainfall above or below average for big town in 2015 and 2016.How much more rainfall did big town receive in 2015 than 2016?
2015: -3.17
2016: +3.95
7.12 more
Step-by-step explanation:
Just add the two number together ❤
Answer:
lol
Step-by-step explanation:
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction 61,11,60
Answer:
[tex]tan(S)= \frac{28}{45}[/tex]
[tex]tan(R) = \frac{45}{28}[/tex]
Step-by-step explanation:
Given
[tex]RS = 53[/tex]
[tex]ST = 45[/tex]
[tex]RT =28[/tex]
See attachment for triangle
Solving (a): The tangent of S
Using tan formula:
[tex]tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]tan(S) = \frac{RT}{ST}[/tex]
[tex]tan(S)= \frac{28}{45}[/tex]
Solving (b): The tangent of R
Using tan formula:
[tex]tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]tan(R) = \frac{ST}{RT}[/tex]
[tex]tan(R) = \frac{45}{28}[/tex]
Did Sammy eat more blueberries on Monday or on
Monday or on Tuesday? Explain
your reasoning.
Answer: Sammy says he was hungry on Monday so that's why he ate more blueberries than Tuesday
Step-by-step explanation: