The values of a and r is 2 and -1 respectively in the geometric series.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given geometric series is 2-2 + 2-2 +2-
A geometric series is a series for which the ratio of each two consecutive terms is a constant function of the summation index.
In the given series the first term is a and common ration is r
The common ratio is the number you multiply or divide by at each stage of the sequence.
r=-2/2 = -1
a , first term is 2
Hence, the values of a and r is 2 and -1 respectively in the given geometric series.
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Solve using the quadratic formula
x^2 - 8x - 84 = 0
Show all work
Answer:
x²-8x-84
Using quadratic Formular -b±√b²-4ac/2a
--8±/8²-4×1×-84 /2×1
8±/64+336/2
8±/400/2
8±20/2
8+20/2, 8-20/2
28/2, -12/2
14,-6
ZA and ZB are vertical angles. If mZA= (2x + 26)° and mZB = (3x + 21)',
then find the measure of ZB.
Answer:
m<ZB is 36 degrees
Step-by-step explanation:
Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x
subtract 2x from both sides and you’ll get “26=x+21”
subract 21 from both sides and you’ll get “5=x”
now we substitute x for 5!
3(5)+21=
15+21=
36
So m<ZB is 36 degrees!
ur welcome :)
hope i helped
brainliest please?
What is the solution to the inequality |3x – 12| ≥ 6?
A.) –6 < x < 18
B.) 2 < x < 6
C.) x < –6 or x > 18
D.) x ≤ 2 or x ≥ 6
Answer:
D
Step-by-step explanation:
|3x – 12| ≥ 6 put it into 2 cases
3x - 12 ≥ 6 or 3x - 12 ≤ -6
3x ≥ 18 or 3x ≤ 6
x ≥ 6 or x ≤ 2
Please solve with explanation (high points)
By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.
How to find angles by trigonometric relationships
As planes ABCD and BCLK are perpendicular to each other, the triangles AKL and AKC are right angled. The required angles can be found by using the following trigonometric relationships:
[tex]\angle AKL = 90^{\circ}[/tex] (As line segments AK and KL are perpendicular to each other)
[tex]\angle AKC = \tan^{-1} \left(\frac{AC}{KC} \right) = \tan^{-1} \left(\frac{\sqrt{2}\cdot a}{\sqrt{5} \cdot a} \right) = \tan^{-1} \sqrt{\frac{2}{5} }[/tex] (as line segments AC and KC are perpendicular to each other)
[tex]\angle AKC \approx 32.312^{\circ}[/tex]
By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.
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When you pay with a debit or ATM card, you are not borrowing money. You are
spending your own money. When you pay with a credit card, you are always
borrowing money.
True.
False.
Two pirates were playing with golden coins. During game, the first pirate lost half of his coins to the second pirate, then the second pirate lost half of his coins to the first pirate, then again the first lost half of his coins to the second. At the end of the game, the first pirate had 21 coins, and the second had 45 coins. How many coins did the first pirate have initially?
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answer:
y=2x
Step-by-step explanation:
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
Icm
1 cm
Answer here
Step-by-step explanation:
we can easily count this, as the diagonal lines are squares truly in half. so, 2 such cut squares are in total 1 full square.
there is one central rectangle of 4×6 squares = 24.
then in the upper left corner there is a small 2×2 square = 4.
and then we have in the bottom left 2 and the bottom right also 2 small triangles (4 in total) with each having 1 full square and 2 half-squares (2 squares in total) as area.
so, 4×2 = 8 squares.
so, the whole area is
24 + 4 + 8 = 36
What is the value of x
Applying the leg rule, the value of x in the right triangle is: 8.9 units.
What is the Leg Rule?The leg rule is given as:
hypotenuse/leg = leg/part
Given the following:
Hypotenuse = 11 + 5 = 16 unitsLeg = xPart = 5Plug in the values
16/x = x/5
x² = 16×5
x² = 80
x = √80
x = 8.9 units.
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Find the equivalent expression using distributive property.
Answer:
C
Step-by-step explanation:
[tex]3(7x-8)\\\\=3(7x)-3(8)\\\\=21x-24[/tex]
Pls help me! Will give brainest to whoever is correct
Answer:
When x= 3,
2x => 6
5x+ 1 => 16
According to the pythagorus theorem,
hypotenus²= base² + height²
hypotenus²= 6² + 16²
hypotenus = √ 292 = 17.1
answer option no. 3
Answer:
2. 17.1 units
Step-by-step explanation:
x=3
2 x 3=6
5 x 3 + 1=16
6² + 16²=c²
36 + 256=c²
292=c²
[tex]\sqrt{292}[/tex]=17.0880075
c=17.1
Expand and Simplify Fully
5(2k+2)+3(K-5)
Answer:
[tex]13k - 5[/tex]
Step-by-step explanation:
[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]
Write an equation for the function graphed above.
Answer:
y = 4 * sec x - 1
Step-by-step explanation:
From looking at the graph we can safely determine it's either CSC x or SEC x.
It SEC x because at the origin of it is exactly the same. Now we determine whether it has a vertical/horizontal stretch/shrink and translation shift.
Seeing it is a vertical stretch by 4 and translation 1 down.
I am not sure how to explain it in the more correct way. I have graphed it just to confirm if it is similar to your graph.
Find the compound amount and interest if Php. 400,000 is invested at 8 %, compounded quarterly for 5 years and 6 months?
Answer:
618 391 .87
Step-by-step explanation:
5 years 6 months = 22 quarters
8% = .08 .08/4 = .02 interest per period
400 000 ( 1 + .02)^22 = 618 391.87
Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.
Answer:
46
Step-by-step explanation:
The midsegment DF has half the length of the side AC it is parallel to.
__
AC = 2×DF = 2×23
AC = 46
The average temperature at the North Pole is – 26˚ F. The average temperature on the Equator is 92˚ F. How much warmer is the average temperature on the Equator than at the North Pole?
I’m stuck on this question. Help please
Answer:
Salt: 1, 2, 4
Pepper: 1/2, 1, 2
Garlic Powder: 1/4, 1/2, 1
Onion Powder: 1/4, 1/2, 1
Step-by-step explanation:
The batches are doubling each time.
Bryan interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table shows his data. How many of the students interviewed do not collect sports cards?
what is the value of c so that 9x^2 + 15x + c = 0 has one rational solution
Answer:
c=-9x^2-15x
Step-by-step explanation:
Answer:
c = 6.25
Step-by-step explanation:
For this to occur, the discriminant of the quadratic formula must = 0
b^2 - 4ac = 0
15^2 - 4(9)(c) = 0
36c = 225
c = 6.25
Which term describes the distribution of this graph?
uniform
skewed left
normal
skewed right
Dot plot. Number line from 4 to 11. 4 dots above 5, 4 dots above 6, 4 dots above 7, 4 dots above 8, 4 dots above 9, and 4 dots above 10. PLEASE HELPPPPP 61 POINTSS
Answer:
Its skewed right
Step-by-step explanation:
I did the quiz and that was the answer
The distribution of this graph is Uniform.
The correct option is A.
Based on the provided dot plot, where there are 4 dots above each value from 5 to 10, the distribution can be described as uniform.
Uniform distribution refers to a distribution where the data points are evenly spread out across the range without any noticeable skewness or clustering. In this case, since there are an equal number of dots above each value within the given range, the distribution is uniform.
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There are 26 tiles in a bag. Of these, 15 are purple, and the rest are yellow. What are the odds in favor of drawing a yellow tile?
Answer:
A
Step-by-step explanation:
because 26-15=11. Then 11:26! Hope I helped:)
The odds in favor of drawing a yellow tile is 11/26
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.
Total tiles 26 in a bag
purple tiles = 15
yellow tiles= 26-15
= 11 tiles
So, the odds in favor of drawing a yellow tile is 11/26.
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can you help me please I pay you £50
Answer:
(-3,4), (-3,1), and (-5,1)
A vegetable garden has 3 tomato plants for every 5 lettuce plants. How many tomato plants are there if there are 45 lettuce plants?
Please help ( no PDF)
Answer:
the answer is 27
Step-by-step explanation:
because 45 divided by 5 equals 9
and 9 times 3 equals 27
Does this graph show a function? Explain how you know.
5
O A. No; the graph fails the vertical line test.
B. Yes, there are no y-values that have more than one x-value.
C. Yes; the graph passes the vertical line test.
D. No; there are y-values that have more than one x-value.
Answer: A. No; the graph fails the vertical line test.
The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.
For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.
Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.
Help
A. What is the slope of the line? Show your work.
B. What is the y intercept of the line?
C. What is the slope intercept form of the equation of the line?
D what is he standard form of the equation of the line?
Answer:
Hi!
The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.
The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.
The slope intercept form is y = 1/6x -4.
For standard form, we subtract 1/6x from both sides to get
-1/6x + y = -4
Hope this helps!
Step-by-step explanation:
What is the radius and diameter of the following circle?
16 cm
Radius =
cm
Diameter =
cm
Answer:
Alright so there are two ways
Step-by-step explanation:
If your radius is 16cm, then the diameter equals 32cm
If your diameter is 16cm, then your radius equals 8cm
An airplane takes off from an airport. When the
airplane reaches a height of 16,500 feet (ft), the
airplane has travelled a horizontal distance of 6,000 ft,
as shown in the diagram below.
The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft
Calculation of the distance travelledTo calculate the angle of elevation of the airplanetan x° = opposite/adjacent
where opposite = 16,500 feet
adjacent = 6,000 ft
tan x° = 16,500 / 6,000
tan x° = 2.75
X = arctan ( 2.75)
X = 70°
To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.C² = a² + b²
C² = 16,500² + 6,000²
C² = 272250000 + 36000000
C² = 308250000
C= √308250000
C= 17,557ft
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3.) Sanaa played a trivia game. Each correct answer is worth 24 points, and
each incorrect answer is worth- 1points. She got 15 answers correct and
got 15 incorrect answers. What was Saniyah's score?
Answer:
one correct answer =24pts
therefore, 15 correct answers = 24 × 15 = 360pts
one incorrect answer = 1pts
so, 15 incorrect answers = 1 × 15 = 15pts
Saniyah's score = 360 - 15 = 345pts
Every week a company provides fruit for its office employees. They can
choose from among five kinds of fruit. Which probabilities correctly complete
this probability distribution for the 50 pieces of fruit, in the order listed?
Fruit
Apples Bananas Lemons Oranges Pears
Number of pieces
10
15
6
14
5
Probability
A. Probability 0.16 0.2 0.1 0.3 0.24
OB. Probability 0.2 0.3 0.12 0.28 0.1
Answer:
B
Step-by-step explanation:
Probability of apple :
No. of apple / No. of fruits10/500.2Probability of banana :
No. of banana / No. of fruits15/500.3Probability of lemon :
No. of lemon / No. of fruits6/500.12Probability of orange :
No. of orange / No. of fruits14/500.28Probability of pear :
No. of pear / No. of fruits5/500.1The correct probability distribution for the 50 pieces of fruit, in the order listed is shown in option B. 0.2 0.3 0.12 0.28 0.1
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total pieces of fruits = 50 pieces
Number of apple pieces = 10
Probability of apple pieces from the whole pieces = 10/50 = 0.2
Number of banana pieces = 15
Probability of banana pieces from the whole pieces = 15/50 = 0.3
Number of lemon pieces = 6
Probability of lemon pieces from the whole pieces = 6/50 = 0.12
Number of orange pieces = 14
Probability of orange pieces from the whole pieces = 14/50 = 0.28
Number of pear pieces = 5
Probability of pear pieces from the whole pieces = 5/50 = 0.1
Hence the correct probability are B. Probability 0.2 0.3 0.12 0.28 0.1.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of X in the rhombus
X=____
Answer:
x = 2
Answer is explained in image itself.