2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answers
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
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Please help I don't understand i'm in the lowest class?
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Answer:
Step-by-step explanation:
Can i get some help :
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Answer:
New Price = 1.55c
Step-by-step explanation:
Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase. The relative increase is 3.49/6.35 or 55%. The new price is 155% or 1.55 times the original price.
That means we have New Price = 1.55c
Why 10 is down how we get it?
Answers
Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.
Answers
Answer:
[tex]cos\theta=\frac{20}{29}[/tex]
Step-by-step explanation:
Problem:
[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]
Given:
[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]
Solve for adjacent side:
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+21^2=29^2[/tex]
[tex]x^2+441=841[/tex]
[tex]x^2=400[/tex]
[tex]x=20[/tex]
Final answer:
[tex]cos\theta=\frac{20}{29}[/tex]
The value [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.
Given that,
The value [tex]\rm Sin\theta[/tex] is 21/29,
Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].We have to determine,
The value of [tex]\rm Cos\theta[/tex]?
According to the question,
To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.
The formula of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
On comparing to the given value of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]
Here, Hypotenuse = 29, and Perpendicular = 21
Then,
The formula of [tex]\rm Cos\theta[/tex] is,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]
Let, the base be x,
The value of base finding by using Pythagoras theorem,
[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]
The value of the base is 20.
Therefore,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]
Hence, The value [tex]\rm Cos\theta[/tex] is 20/29.
For more details about Pythagoras theorem refer to the link given below.
https://brainly.com/question/13710437
An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. Astronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.
Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Answers
Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In which [tex]a \in [1, 10)[/tex]To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.In this problem, 1 AU = 150,000,000 km.
The comma has to move 8 places to the right, hence [tex]b = 8[/tex]Then, the measure is: [tex]1.5 \times 10^8[/tex]
For more on scientific notation, you can check https://brainly.com/question/16394306
I NEED HELP ASP AHH
I need help on number 5 and 8
This is for geometry
number 5 and 8 are rhe blank ones
Answers
#5:
Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have x, we can solve for y. Alternate interior angles are congruent.
(4x + 23) = (21y - 1)
4(15) + 23 = 21y - 1
60 + 23 = 21y - 1
83 = 21y - 1
84 = 21y
y = 4
#8:
Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.
10x = 13x - 33
-3x = -33
x = 11
Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.
Supplement = 180 - 10x
Supplement = 180 - 10(11)
Supplement = 180 - 110
Supplement = 70
Supplement = 5y
70 = 5y
y = 14
Hope this helps! :)
- #5 -
y = 4
[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:
4x + 23 + 9x - 38 = 180
13x - 15 = 180
13x = 195
x = 15
[] Now we will plug-in and solve for one of them
9x - 38
9(15) - 38
135 - 38 = 97
[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:
97 + 21y - 1 = 180
96 + 21y = 180
21y = 84
y = 4
- #8 -
y = 14
[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:
13x - 33 = 10x
-33 = -3x
11 = x
[] Plug-in and solve for one of them
10x = 10(11) = 110
[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve
110 + 5y = 180
5y = 70
14
- See attached for where I am pulling numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?
Answers
29 Nickels
15 Dimes
Hope this is helpful!
What do the following two equations represent?
y = -x + 5
.
5x + 5y = 20
=
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
Answers
Answer:
i think B is answer
Step-by-step explanation:
good luck
If there were 24 coins in all, how many more gold coins than copper coins were in the jar?
Answers
Answer: 8 (I think)
Step-by-step explanation:
There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.
1/2 of 24 is 12
1/6 of 24 is 4
12 - 4 = 8
So there are 8 more gold coins than copper.
So your answer is 8.
please help me with this
Answers
Answer:
-9
Step-by-step explanation:
a(2) = a(1)+4 = -13+4 = -9
(Help me please!!)
Write the equation of each linear relationship in slope-intercept form. (Convert the slope to decimal form.)
X: 25, 35, 45, 55
Y: 94. 88, 82, 76
Answers
Answer:
y = -0.6x +109
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (88 -94)/(35 -25) = -6/10 = -0.6
The y-intercept is ...
b = y -mx = 94 -(-0.6)(25) = 109
The equation of the line is ...
y = mx +b
y = -0.6x +109
ANSWER IT!!! I ONLY HAVE MINUTES
Answers
Answer:
D
Step-by-step explanation:
5 + n is the sum of 5 and a number
amd then "less than or equal to -7" represents the no more than -7
Answer:
D
Step-by-step explanation:
To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people
Helppp meeee please
Answers
Answer:
The Equation for lyft is:
4.50x
The Equation for uber is
2.50x+5
Step-by-step explanation:
If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.
It would look like this
Lyft: 4.50 (5)= 22.5
Uber
2.50 (5) +5= 17.5
If the distance were 5 miles uber would be the better option.
Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.
Answers
The value of a in terms of b is given as [tex]a = 8b^3[/tex]
Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
We are to solve the equation for the variable "a"
Given;
[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
Cross multiply
[tex]2b=\sqrt[3]{a-1}[/tex]
Cube both sides of the equation:
[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]
Add 1 to both sides of the equation:
[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]
Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]
Learn more on subject of formula here: https://brainly.com/question/657646
f(x) = -x - 14
Find x if f(x) = -2
Answers
Answer:
x = -12
Step-by-step explanation:
First, you want to plug in f(x)'s value into the equation.
-2 = -x-14
Then solve for x:
x=-14+2
x=-12
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answers
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
In a bar graph space between rectangles is always
Answers
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answers
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
Pls help! And USE QUADRATIC FORMULA
Answers
Answer:
the answer is A
Step-by-step explanation:
1. y=3x^2-2x-2
0=3x^×-2x-2
2. 3x^2-2x-2=0
[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]
3.
[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]
4.
[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]
5.
[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]
which is equivalent to 2^-3/2^2
Answers
Answer:
[tex]1/32[/tex]
Step-by-step explanation:
To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.
Example I would like to find out [tex]2^{-2}[/tex],
You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]
Which would be 0.25 or 1/4
Lets apply this knowledge to the following question:
1. [tex]2^{-3} / 2^{2}[/tex]
2. [tex]\frac{1}{8} / 4[/tex]
3. [tex]1/32[/tex]
a building 270 feet tall casts a 40 foot long shadow. if a person looks down from the top of the building, what is the measure of the angle between the upper end of the shadow and the vertical side of the building to the nearest degree? (assume the person's eyes are level with the top of the building)
A. 81°
B. 8°
C. 9°
D. 82°
Answers
Answer:
A.
Step-by-step explanation:
Use tangent ratio
Answer:
A.
Step-by-step explanation:
Use tangent ratio
How to solve this question?
Answers
Answer: -3
Step-by-step explanation:
The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]
Plz help fast I will mark Brainlyist
Answers
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
4x + 7 = 6x + 4. what is this answer step by step?
Answers
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Answers
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8
Answers
Answer:
8
Step-by-step explanation:
8 will go in the box
What are the steps to convert a number from standard notation to scientific notation?
Answers
Answer:
Consider a big number 3,400,000. To convert this number into scientific notation:
Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.
Count the number of steps moved. This will be the power of the base 10.
In this case, the coefficient is 3.4 and the 6 steps are moved.
Multiply the coefficient by 106,
Therefore, the answer is 3. 4 x 10 6
Step-by-step explanation:
omg please i need help this is worth sm pointssss PLEASE BESTIES
Answers
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)
Answers
Answer:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
[tex]Mindpoint =\left(2,\:1\right)[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
X = 6 – -2 = 8
Y = 3 – -1 = 4
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
Midpoint:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]
[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]
[tex]=\left(2,\:1\right)[/tex]
Help me plz I would really appreciate it!
Answers
[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.