What is the common differenice for this arithmetic sequence?
-6, -2, 2, 6, 10,...
a. 3
b. 5
c. 6
d. 4
Answer:
The answer is D.
Step-by-step explanation:
The difference between each term is 4.
-2 - (-6) = 4
2 - (-2) = 4
6 - 2 = 4
10 - 6 = 4
d. 4
here, -2-(-6)= -2+6=4
2-(-2)= 2+2=4
6- 2 = 4
10-6 = 4
so the common difference of them is 4.
i really need help with this please!! i need it by 12:00 tonight
s(x)=-x+1
t(x)=-x²-1
find the value of t(s(2))
Answer:
t(s(2)) where s(x) = -x + 1, t(x) = -x^2 - 1 = -2
Step-by-step explanation:
solve for x- 5(x+4)=30
Answer: x= -12.5
Step-by-step explanation:
Start with distributing-5(x+4) or you get
x-5x-20=30
Add x and -5x to get -4x
Thank you add 20 to each side and get
-4x = 50
Divide by -4 on each side to get x=-12.5
Answer:
x=-25/2 is the answer.
Step-by-step explanation:
Below are the steps for solving the equation:
Step 1: Simplify, combine like terms, and distribute:
x−5(x+4)=30
x+(−5)(x)+(−5)(4)=30
x+−5x+−20=30
(x+−5x)+(−20)=30
−4x+−20=30
−4x−20=30
Add 20 to each side:
−4x−20+20=30+20
−4x=50
Divide each side by -4:
-4x/-4=50/-4
x=-25/2, which is -12.5 as a decimal.
So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.
Giving brainliest & a thanks if you answer all of them
At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.
What is the least amount of money Mia can spend?
To get that many noisemakers and hats:
How many packages of noisemakers does Mia need to buy?
How many packages of hats?
If Mia buys that many packages of each item, what is her total cost? Show your work.
Answer:
the lowest amount mia can spend is $75
Step-by-step explanation:
3x12=36
12x3+15 this is for the noise makers
9 x 4= 36
15 x 4 = 60
60+15=75
she will spend 75 dollars on party suplies
I need help with this question please
he table shows the amount of money raised by each region. The four regions raised a total of $ ( 5 . 38 × 10 4 ) . Region Amount Raised ($) East 1 . 46 × 10 4 North 2 . 38 × 10 4 South 6 . 75 × 10 3 West ? How much did the West raise? Express the result in scientific notation.
Answer: 8.65*103
Step-by-step explanation:
Using scientific notation, it is found that the amount raised by the West, in dollars, is of:
[tex]8.65 \times 10^3[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
Combined, the amount raised by the North, South and East is:
[tex]2.38 \times 10^4 + 6.75 \times 10^3 + 1.46 \times 10^4[/tex]
To add numbers, they need to have the same exponent, hence:
[tex]6.75 \times 10^3 = 0.675 \times 10^4[/tex]
To add the numbers, we add the bases and keep the exponents, hence:
[tex]2.38 \times 10^4 + 0.675 \times 10^4 + 1.46 \times 10^4 = 2.38 + 0.675 + 1.46 \times 10^4 = 4.515 \times 10^4[/tex]
The total amount is given in the problem, hence the amount raised by the West is:
[tex]5.38 \times 10^4 - 4.515 \times 10^4 = 0.865 \times 10^4 = 8.65 \times 10^3[/tex]
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What is the least amount of information that you need to construct a triangle congruent
Answer:
6 points of data, minimally.
Easiest if they are 3 points.
All data is going to be comprised of more than one unit of data itself.
For 3 points, we need 6 coordinates.
For 3 lines, we need 2 points each, and then 2 coordinates for each point.
Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.
Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.
So in a 2D space, the information required to make a figure is twice the number of vertices.
Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.
“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”
Edit… A closed figure made only of straight line segments.
I'm sorry if it has any wrong ♀️
Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:
the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].
The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.
Some of the steps required in construction of a congruent triangle to a given one are:
1. Draw a line with a straight edge and mark a starting point.
2. copy one of the angles of the given triangle to the marked point on the line drawn.
3. Copy the length of sides of the triangle appropriately.
5. Copy the measures of other angles and length of sides to complete the congruent triangle.
Therefore, some of the least amount of information to be known for the construction are:
the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.Visit: https://brainly.com/question/16912588
Find x , the angle of depression from the top of a lighthouse that is 173 ft above water level to the waterline of a ship 1119 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
arc tan (angle) = 1,119 / 173
arc tan (angle) = 6.4682080925
angle = 81.212 Degrees
Step-by-step explanation:
To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run
Answer:
b and m or known the y-intercept and slope
Step-by-step explanation:
you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.
then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.
hope that helps
Sarah is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Sarah will spend is given by the equation y=1.5x+16 where y represents the total amount of money, in dollars and cents, and x represents the number of rides Sarah goes on. What is the meaning of the y-value when x=1?
Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.
In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.
We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :
=> y = 1.5(1) + 16 => y = 17.5
Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.
Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5
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Simplify. Enter the answer in the box.
Please help!!!!
The pair of points lies on the same line with the given slope. Find x.
(5,-20), (X, - 29); slope = -3
Find x.
X=
(Type an integer or a simplified fraction.)
Please help I really need to to bring up my grade before the semester ends!!!!
Help someone I’ll give brainlist
Answer:
D
Step-by-step explanation:
Answer: I think B
Step-by-step explanation: Hope it helped! :)
8, 15, 20, 23, 29, 25, 30, 24, 28, 35, 32, 28, 27, 27, 25, 28, 29, 14, 22, 18 what is the outlier?
Answer:
17
Step-by-step explanation:
Based on what we established about the classification of x and using the closure of integers, what does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?
The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.
What is a rational number?Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.
It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.
For example, we can conclude that ½+√2 is irrational.
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what is an algebra?
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(8,7) & (4,5)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope you can use the slope equation:
[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
Let's define the terms in the equation:
y2 = 5
y1 = 7
x2 = 4
x1 = 8
Now, let's put these into the equation and solve:
[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]
Therefore, the slope is -1/2.
I hope this helps!!
- Kay :)
I am struggling with transformations,rotation on a cartesian plane,how do we do it?
Greetings from Brasil...
Translations
Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.
P(X; Y) → P'(X ± m; Y ± n)If the figure has 3 points (A, B and C), we would be left with:
A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)
A(X, Y) → A'(X ± m; Y ± n)
B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)
C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)
in our example - see attached figure - let
m = 4
n = - 1
(these values of m=4 and n=-1 were chosen by me arbitrarily)
A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)
B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)
--------------------------------------------------------------------------
Rotations
The expression (formula) for rotation will be:
P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)
Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then
P(X; Y) → P'(-Y; X)in our example - see attached figure
A(1; 2) → A''(-2; 1)
B(2; 3) → B''(-3; 2)
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The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?
Answer:
3.5
Step-by-step explanation:
7/3= 3.5 or 3 1/2
The Nut House sells peanuts for $6.75 per pound and cashews for $9.50 per pound. On Saturday, they sold 32 pounds more peanuts than cashews. The total sales for both types of nuts was $1,012.25. Write and solve an equation to find the number of peanuts sold. Round your answer to the nearest whole pound.
Answer:
81 pounds
Step-by-step explanation:
Given that:
Peanut per pound = $6.75
Cashew per pound = $9.50
Let
Number of cashews sold = x
Number of peanuts sold = x + 32
Total sales made = $1,012.25
(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made
(x * 9.50) + [(x + 32) * 6.75)] = 1012.25
9.50x + 6.75x + 216 = 1012.25
16.25x = 796.25
x = 796.25 / 16.25
x = 49
Number of peanuts sold = x + 32 = 49 + 32 = 81
How many hours and minutes are 8:15 a.m. to 2:53 p.m.
Answer:
There are 6hrs and 38 minutes between 8:15 am and 2:53 pm
Step-by-step explanation:
8:15 a.m- 9:15 am= 1 hr
9:15 am- 10:15 am= 1 hr
10:15 am-11:15 am=1 hr
11:15 am- 12:15 pm= 1 hr
12:15 pm- 1:15 pm= 1 hr
1:15 pm- 2:15 pm= 1hr
2:15 pm-2:53 pm= 53-15= 38 min
brainly alert pls help ill give ya brainly pls i beg u helpp
Answer:5 Hours
Step-by-step explanation:
160/4 = 40 miles per hour
200/40 = 5
Answer:
8 hours
Step-by-step explanation:
there are 360 miles total because it already covered 160 and there are 200 left. 160 / 4 = 4 hours per 40 miles. 200 is 40 more miles than 160. This means that it is the 4 hours of 160 miles in that 200 + 4 more hours for 40 miles. Add them together and you get 8 hours.
The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?
Answer:
m=y8+2x
Step-by-step explanation:
what is 6775355 x 686878756 in math
Answer:
4.6538474e+15
Step-by-step explanation:
what is the ratio of 96:24 in simplest form
Answer:
4:1
Step-by-step explanation:
Answer:
4:1
Step-by-step explanation:
139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form
a-4 = -5*
(5 Points)
-9
O 20
O-1
-5/4
What is the direct distance between centerville and capital city round to the nearest kilometer
The direct distance between Centerville and Capital City round to the nearest kilometer is 1,336 kilometers.
The distances between Centerville, Springfield, and Capital City form a right triangle in geography.
The distance between Centerville and Springfield is 913 kilometers, and the distance between Springfield and Capital City is 976 kilometers.
Let x be the direct distance between Centerville and Capital City using the formula
By Pythagorean theorem, we get
913² + 976² = x²
833,569 + 952,576 = x²,
x² = 1786145
x = √1786145
x = 1336.46736
Hence, we get x = 1,336.46736 rounding to the nearest tenth is 1,336 kilometers.
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Write a segment addition problem using three points that asks the student to solve for x but has a solution x=20
A segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.
How to Apply the Segment Addition Postulate?Assuming point E is located between points D and F on a straight line, points D, E, and F are collinear, and based on the segment addition postulate, we have the equation that is true:
DE + EF = DF.
Let's assume that we have the following lengths:
DE = 2x
EF = 3x
DF = 100
Therefore, we would have the following:
2x + 3x = 100
5x = 100
5x/5 = 100/5
x = 20.
Therefore, a segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.
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