Explanation:
An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.
A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.
If you look at this sequence:
14-2 = 12
12-2 = 10
10-2 = 8
8 -2 = 4
etc.
Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.
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The slope of the line that passes through the points (0,3) and (5, 13) is?
Answer:
its not there bud
Step-by-step explanation:
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
What is the slope of the line in the graph?
Answer: 1
Step-by-step explanation:
Slope=rise/run
Here we rise 2 and run 2
2/2=1
Answer:
1
Step-by-step explanation:
The first thing you would want to do is know that the slope is the change in y over the change in x. for this line, it goes up one, over one. so your slope is just one. if you were to write the slope-intercept form equation, it would be y=x+1
Which fraction converts to a terminating decimal number?
OA.1/6
OB.2/9
OC.3/8
OD.4/7
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
Is -4.5 greater than -2.375?
Answer:
No it is not greater.
Step-by-step explanation:
-2.375 is greater than -4.5.
This is because -2.375 is closer to 0 than -4.5 is. The closer the negative number is to zero, the greater it is than numbers that are far away from zero.
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The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
Know more about the Ratios here:
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Given the triangle below, what must be the value of x? Use the scratchpad tool, if needed.
Please i need help!!
Answer:
8x
Step-by-step explanation:
Hope this helps:)
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
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Answer:
18
Step-by-step explanation:
Area = base x height
So you would start by multiplying you 2 side lengths given:
Area = 2 sqrt 3 x sqrt 27
2 sqrt 3 x sqrt 27 = 18
Once multiplied, you will get you area. Which is 18 units squared.
Eliza fell asleep at 9:35PM. She awoke 8 hours 45 minutes later. What time did Eliza wake up?
Answer:
She would have woken up at 6:20 AM
Step-by-step explanation:
Answer:
6:20am
Step-by-step explanation:
Hope this helps!
Which statement is true about minus 14 and minus 8?
Answer:
minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.
Step-by-step explanation: Hope this is right! and I hope it helps you UwU
A person earns 23,000 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100
Answer:
24,150
Step-by-step explanation:
Given that :
Salary earned this year = 23,000
Percentage Raise in salary for the new year = 5%
The new yearly salary can be obtained thus ;
(100% + percentage raise in salary) * salary earned this year
(100% + 5%) * 23,000
105% * 23000
1.05 * 23000
24,150
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2. Find the equation of the line with a slope of -2 and through the points (1,-17)
Answer:
y=−2x−15
Step-by-step explanation:
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
To learn more about the unitary method visit:
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Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
just help quick please its easy but im dumb
Answer:
1:7 is the ratio
Step-by-step explanation:
the difference between 21 and 14 is 7. it also goes into 35.
Can you guys please help me
Answer:
9 < [tex]\sqrt{82\\}[/tex] < 10
Step-by-step explanation:
The sqrt of 82 is rounded to 9.1. The two integers above and below it are 9 and 10.
I hope this helps!
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Answer:
There are many solutions.
Step-by-step explanation:
A 20% discount on $50 takes us to $40. A 25% discount on the $40 takes us to 30%.
We can also do a 4% discount to bring us to $48, followed by a 62.5% discount, to get to $30.
Which figure has a line of symmetry and rotational symmetry
Answer:
a i believe
:D glad to help you!!!
Answer:
A
Step-by-step explanation:
can someone explain how to solve this?
What is 1/4 divided by 9/10 rewritten with an important fraction?
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
−7+11p=3p−47
what is p?
Answer:
p= -5
Step-by-step explanation:
because UwU and also −7+11p=3p−47
−7+11p=3p+−47
11p−7=3p−47
11p−7−3p=3p−47−3p
8p−7=−47 8p−7+7=−47+7
8p=−40 8p /8 = −40 /8
Answer:
P= -5
Step-by-step explanation:
The formula for the volume of a cylinder is V=πr2h. where r is the radius of the cylinder, and h is the height of the cylinder. Rewrite the formula to solve for h in terms of r and V.
h = ?
please help
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
Which triangle is congruent to triangle ABC?
{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!
Answer:
[tex]k = -\frac{1}{5}[/tex] -- Constant
[tex]y = -\frac{x}{5}[/tex] -- Equation
Step-by-step explanation:
Given
[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]
Solving (a): The constant of variation
The given parameter is of the form (x,y) and the variation constant is calculated using:
[tex]k = \frac{y}{x}[/tex]
For:(-15,3), k is calculated as
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{3}{-15}[/tex]
[tex]k = -\frac{1}{5}[/tex]
For (-5,1)
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{1}{-5}[/tex]
[tex]k = -\frac{1}{5}[/tex]
The equation is calculated using the following rule:
[tex]y = kx[/tex]
Substitute [tex]-\frac{1}{5}[/tex] for k
[tex]y = -\frac{1}{5} * x[/tex]
[tex]y = -\frac{x}{5}[/tex]
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Answer:
what does it mean by equation