(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.
Answer:6.03*10^3
Step-by-step explanation:
(3.1 *10^2)(2*10^3)
2*10^3=20*10^2
(3.1*10^2)(20*10^2)
(60.3*10^2)=
6.03*10^3
The area of a square sports arena is 10,000 m² what are the dimensions of the sports arena on the map.
Answer:
Step-by-step explanation:10,000square you have to multiply them my all squares to get the answer
FIRST ANSWER GETS BRAINLIEST!!!
Describe how to model -3x + 7 = 28 with algebra tiles.
Answer:
-7
Step-by-step explanation:
-3x+7=28
-7=28
-7
-3x/21
x=-7
11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.
Answer:
Step-by-step explanation:
(Graph attached)
Please show work
What is the average speed of the runner at 4 seconds
Carlos cut Start Fraction 5 Over 12 End Fraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Start Fraction 1 Over 60 End Fraction of a yard
Start Fraction 1 Over 25 End Fraction of a yard
Start Fraction 1 Over 12 End Fraction of a yard
One-fifth of a yard
Answer:
C.1/12
Step-by-step explanation:
Divide 5/12 by 5 since he cut it into 5 equal pieces
If the odds for a certain event are 5 to 12, what is the probability of the event occuring? Write your answer
as a simplified fraction.
Answer:
5/12
Step-by-step explanation:
Isn't this just a ratio?
I will give you branilest!
What does the constant of proportionality represent?
Answer:
The constant of proportionality is the ratio between two directly proportional quantities
Step-by-step explanation:
Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
5.) You are working for a car dealership. You are doing an inventory of the lot. You counted 34
trucks. 15 cars, and 8 SUVs. What is the ratio of SUVs to total vehicles on the lot?
Answer: 8 SUVs to 57 total
Step-by-step explanation: You add 34 + 15 + 8 which gives you 57 Then you see there are 8 SUVs. So the answer is 8 to 57.
Sorry. I kinda got ahead of myself and excited. Guess mistakes happen. I was right the first time. I'm just so tired right now
Find the value of x
(4x-20)°
Answer:
Bro this has no solution
Answer: 4(x−5)
Step-by-step explanation: I think this is right. If it’s not Im sorry. But if it is hope this helps!
Calculate the area of the triangle: A =
Answer:
27
Step-by-step explanation:
The area of the triangle is 30.9 square units.
We have,
From the figure,
Height = Distance between (-2, 6) and (-2, 0).
Base = Distance between (-2, 0) and (7, -5).
To find the distance between two points in a Cartesian coordinate system, use the distance formula:
Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Height:
Distance = √((-2 - (-2))² + (0 - 6)²)
Distance = √(0² + (-6)²)
Distance = √(0 + 36)
Distance = √36
Distance = 6
Base:
Distance = √((7 - (-2))² + (-5 - 0)²)
Distance = √((7 + 2)² + (-5)²)
Distance = √(9² + (-5)²)
Distance = √(81 + 25)
Distance = √106
Distance ≈ 10.3
Now,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 10.3 x 6
= 10.3 x 3
= 30.9 square units
Thus,
The area of the triangle is 30.9 square units.
Learn more about triangles here:
https://brainly.com/question/25950519
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How do you do this question?
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
How do you do this question?
Exact value: [tex]c = \frac{-11+\sqrt{165}}{22}[/tex]
Approximate value: c = 0.08387
Round the approximate value however you need to
==============================================
Work Shown:
Let x = 1+c
[tex]\displaystyle S = \sum_{n=2}^{\infty}(1+c)^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}x^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}\frac{1}{x^n}\\\\\\\displaystyle S = \frac{1}{x^2}+\frac{1}{x^3}+\frac{1}{x^4}\ldots\\\\\\[/tex]
We have an infinite geometric series here. The first term is a = 1/(x^2). The common ratio is r = 1/x.
Each new term is found by multiplying the previous term by 1/x.
Assuming -1 < r < 1 is true, the infinite geometric sum is
[tex]S = \frac{a}{1-r}\\\\\\S = \frac{1/x^2}{1-1/x}\\\\\\S = \frac{1/x^2}{x/x-1/x}\\\\\\S = \frac{1/x^2}{(x-1)/x}\\\\\\S = \frac{1}{x^2}\div\frac{x-1}{x}\\\\\\S = \frac{1}{x^2}*\frac{x}{x-1}\\\\\\S = \frac{1}{x^2-x}\\\\\\[/tex]
Plug in S = 11 and solve for x
[tex]S = \frac{1}{x^2-x}\\\\11 = \frac{1}{x^2-x}\\\\11(x^2-x) = 1\\\\11x^2-11x = 1\\\\11x^2-11x-1 = 0\\\\[/tex]
Use the quadratic formula to find the two solutions
[tex]x = \frac{11+\sqrt{165}}{22} \approx 1.08387\\\\x = \frac{11-\sqrt{165}}{22} \approx -0.08387\\\\[/tex]
Using these x values, we find that the corresponding r values are
r = 1/x = 1/(1.08387) = 0.92262
r = 1/x = 1/(-0.08387) = -11.92321
The first r value makes -1 < r < 1 true, but the second r value does not. So we will be ignoring the solution x = -0.08387
----------------------------------------------
Using the solution that corresponds to x = 1.08387, we find the value of c is
[tex]x = c+1\\\\c = x-1\\\\c = \frac{11+\sqrt{165}}{22}-1\\\\c = \frac{11+\sqrt{165}}{22}-\frac{22}{22}\\\\c = \frac{11+\sqrt{165}-22}{22}\\\\c = \frac{-11+\sqrt{165}}{22}\\\\c \approx 0.08387\\\\[/tex]
Is 2|12 true or false
Answer:
true
Step-by-step explanation:
Because it is
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:c
Step-by-step explanation:
The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
How to find the measures of angles in triangle ABCIt follows that the right angle is between the two shorter sides;
Hence, the angle measure, m∠C ≈ 90°.On this note, the angle, m∠A is opposite side BC;
Therefore, from sine formula;
Sin m∠A ≈ 24/25Sin m∠A ≈ 0.96m∠A ≈ sin-¹(0.96)m∠A ≈ 73.7°
And from sum of angles in a triangle;
m∠A ≈ 16.3°
Read more on right triangle;
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Given the linear function 2x - y= 5 what is the slope? And As x increase does y increase or decrease and as x decreases does y increase or decrease
Answer:
The slope is 2. As x increase y is increase and as x decrease y decrease
i need your help and to try this out so can you please answer dis
-2(x+6)
Answer:
12x - 12
Step-by-step explanation:
-2(x + 6)
open the parenthesis
-2 * x + -2 * 6
-2x - 12
-2x - 12
I really need help with this ?
8 Determine if the product of 32 and 8V 18 is
rational or irrational. Explain your answer.
Answer: It is irrational.
Step-by-step explanation:
√18 is an irational number. Multiplying most rational numbers by an irrational number results in an irrational number.
Please help what is -0.5 divided by -1/5
Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides
Answer:
3.2 hours
Step-by-step explanation:
Identify the independent and dependent variables: The cost to gift wrap an order is $ 3 plus $1 per item wrapped
Answer: Indep. is: $3 and the dependent is $1
Step-by-step explanation:
Every item is $3, but if you add more then you also add $1
3/4 (x + 18) = 15 What is x equal to
Answer:
x=2
Step-by-step explanation:
hope it helps
please mark as Brainliest
Answer:
x = 2
Step-by-step explanation:
For me it's easier to work with decimals than fractions, so I converted 3/4 to .75
.75(x + 18) = 15
.75x + 13.5 = 15
That was just distributing the .75 but here is where it gets a bit confusing.
.75x + 13.5 = 15
-13.5 -13.5
.75x = 1.5
Divide both sides by .75 to isolate the variable.
x = 2
Hope that helps and have a great day!
Find a and b: (10-4i)-(a+bi)=(6-6i)
Answer:
look at attached image, hope this helps! :)
Find the equation of a line that passes through the points (1, 2) and (5,8).
1: y= 3/2 + 1/2
2: y= 3/2 + 1
3: y= 3/2 + 2
Answer:
1: y = 3/2 + 1/2
Step-by-step explanation:
y1 -y2/x1 - x2
8-2 / 5-1
6/4 = 3/2
y-2=3/2(x-1)
y-2=3/2x - 3/2
y-2 +2= 3/2x - 3/2 +2
y=3/2x + 1/2
Sue has $1.15 in nickels and dimes, a total of 16 coins.
How many nickels and how many dimes does Sue have?
Answer:
9 nickels . 7 dimes
Step-by-step explanation:
i take the same class so i know where u got it from
Kia Read for a total of 60 minutes on Monday and Tuesday. He read for 60 minutes on Tuesday. How many minutes did he read on Monday?
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary
Which of the following statements are true?
The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair.
The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles.
The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles.
O The Day Care and the Park are on the same side of the transversal and form a linear pair.
The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles.
The Park and the Museum are adjacent angles and form a vertical pair of angles.
The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal.
Answer:
*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles
*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.
*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal
Step-by-step explanation:
The transversal is the major road that crosses the other two roads shown in the diagram above.
Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:
Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."
The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.
Statement is NOT TRUE.
Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."
This statement is TRUE.
The Museum and the Coffee shop form alternate exterior angles pair.
Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."
This is NOT TRUE.
They are all EXTERIOR angles.
Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."
This is NOT TRUE.
They are consecutive interior angles.
Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."
This is TRUE.
Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"
This is NOT TRUE.
They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.
Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."
This is NOT TRUE.
They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.
Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."
This is TRUE.
A well is 20ft deep. A snail at the bottom of the well climbs upto 4ft each day and slips back 2ft every night.how many days the snail to reach the too
Answer:
10 days
Step-by-step explanation:
4ft-2ft= so the snail moves 2ft every 24hrs
20ft÷2ft= takes the snail 10 days
Answer:
Defining Variables:
Let the number of days the snail takes to climb = x days
Total distance climbed in x days = x*4
Total distance slipped in x days = 2*x
Solving for the number of days:
Since the total distance the snail climbs is 20ft (depth of well)
The total distance climbed - total distance slipped = 20
replacing the variables
4x - 2x = 20
2x = 20
x = 10
Therefore, it will take the snail 10 days to reach the top