Answer:
Its B
Step-by-step explanation:
Based on the data from the table, there is a B. positive linear trend, not an exact linear fit.
What is a trend line?A trend line is also known as a line of best fit and it can be defined as a statistical tool which is commonly used in conjunction with a scatter plot, in order to determine whether or not there's any form of correlation (either positive or negative) between a given data.
Based on the data provided in the table above, we can infer and logically deduce that there is a positive linear trend, but not an exact linear fit.
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Which of the following is a result of shifting a circle with equation (x-2)2 +(y-3)2=25 to the left 2 units ?
A.) Both the x- and y-coordinates of the center of the circle increased by 2
B.) Both the x- and y-coordinate of the center of the circle decreased by 2
C.) The y-coordinate of the center of the circle decreased by 2
D.) The x-coordinate of the center of the circle decreased by 2
Answer:
D.) The x-coordinate of the center of the circle decreased by 2
Step-by-step explanation:
(consult the diagram attached below)
Consider a circle
(x - 2)² + (y - 3)² =25
Where (h, k ) = (2, 3) which is the center of the circle.
When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.
If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.
Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)
The new equation of circle will be:
(x - 0)² + (y - 3)² =25
(x )² + (y - 3)² =25
Earth is approximately 4.54 * 10^9 years old. Humans are thought to have evolved around 2.5 * 10^5 years ago.
For what percentage of the age of the Earth have humans been present? Give your answer to 3 s.f
Answer:
5.507*10^-7%
Step-by-step explanation:
(2.5 * 10^5)/(4.54 * 10^9)*1/100 %= 5.507*10^-7%
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Please help asap 15 pts for the correct answer with correct explanation!
Answer:
Step-by-step explanation:
The third picture with 4.5 being theu put the answer is 9.5 not 3
everything else seems good to me
A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Answer:
The equivalent of 5.651 mi is 9945.76 yards
Step-by-step explanation:
Given:
Length of lake = 5.651 mi
Required:
Length of bridge in yards
From table of facts;
1 mile = 1760 yards
This implies that
5.651 miles will be:5.651 * 1760 yards
5.651 * 1760 yards = 9945.76 yards
5.651 * 1760 yards = 9945.8 yards (Aproximated)
Hence, the equivalent of 5.651 mi is 9945.76 yards
The ratio of the number of Andys seashells to the number of Bens seashell is 4:9. Andy has 100 seashells. How many seashells does Ben have?
Answer:
225 seashells
Step-by-step explanation:
4:9
100:x
Cross multiply the ratios.
4x=900
x=900/4
x=225
- (09.02)
Tom rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 9, given that the first roll is a 6? (1 point)
Answer:
1/3
Step-by-step explanation:
The only way it could be less than 9 is if the second cube is either 1 or 2. The probability of either of those outcomes is 2/6, simplified to be 1/3
PLEASE HELP ME WORK THIS OUT
30 POINTS
Answer:
Probability = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Total numbers on dice = 6
Those number which are a factor of eight = 3 (1,2,4)
Probability = [tex]\frac{No.OfPossibleOutcomes}{TotalNo. OfOutcomes}[/tex]
Probability = [tex]\frac{3}{6}[/tex]
Probability = [tex]\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
hope it helps.
all the best
Every integer is a whole number
Please select the best answer from the choices provided
T
F
Answer:
This is true.
PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
15
Step-by-step explanation:
30/2 = 15
Answer:
7
Step-by-step explanation:
Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.
Which equation has a graph that is parallel to the graph of 2x - y = -1?
A. 2x + y = 8
о В.
y=-x+3
O C. y-1 = 2(x - 3)
O D. y = -2x - 1
Answer:
C.
Step-by-step explanation:
Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.
Answer:
The answer is C) y-1=2(x-3)
Step-by-step explanation:
Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.
Write a function and solve for the
total loan amount of an initial loan
of $15.005 at 3.5$ for 5 years
Answer:
Step-by-step explanation:
B
Help idk how to do this ASAP please
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
81.14 Earth days.
Step-by-step explanation:
Step 1
The formula to solve this question is given as
Speed = Distance / Time
In the question, we are given the following values
Distance of the planet = 74,000,000 km
Average Speed of the planet = 38,000 km/h.
Average Speed = Distance / Time
38,000 km/h = 74,000,000 km/ Time
Cross Multiply
38,000 km/h × Time = 74,000,000 km
Divide both sides by 38,000 km/h
Time(hours) = 74,000,000 km /38,000 km/h
Time(hours) = 1947.3684211 hours
This means the circular orbit of the planet around the star takes 1947.3684211 hours.
Step 2
In the question, we were asked to find how many Earth days it takes.
Hence, it is known that
24 hours = 1 (Earth) day
1947.3684211 hours = x days
We would cross Multiply
24 hours × x days = 1947.3684211 hours.
Divide both sides by 24 hours
x days = 1947.3684211 hours ÷ 24 hours
x days = 81.140350879 Earth days.
Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =
81.14 Earth days.
OMG HELPPP PLEASEEE plssss
Answer:
Brainliest goes to me
Step-by-step explanation:
if you solved it... it would be 8.75
but you can't like 0.75 of a color so it isn't possible
0.75 is to be rounded up so I would do 9
Answer:All you have to do is multiply
Step-by-step explanation:
Given: 5 > x + 7.
Choose the graph of the solution set.
Option B is the correct option.
please see the attached picture for full solution..
Hope it helps...
Good luck on your assignment....
Can someone help me with this question
Answer:
[tex]3[/tex]
Step-by-step explanation:
Write in the exponential form with a base of 3
[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]
Simplify the expression by multiplying the exponents.
[tex]2 * \frac{1}{2} = 1[/tex]
[tex]3^{1} = 3[/tex]
Solve for x. xx−1−1x−2=2x−5x2−3x+2 Select each correct answer. −1 2 3 6
Answer:
(C)x=3
Step-by-step explanation:
We want to solve for x in: [tex]\dfrac{x}{x-1} -\dfrac{1}{x-2}=\dfrac{2x-5}{x^2-3x+2}[/tex]
Take the LCM of the Left Hand Side
[tex]\dfrac{x(x-2)-1(x-1)}{(x-1)(x-2)} =\dfrac{2x-5}{x^2-3x+2}\\\dfrac{x(x-2)-1(x-1)}{x^2-3x+2} =\dfrac{2x-5}{x^2-3x+2}\\$Since we have the same denominator, then:\\x(x-2)-1(x-1)=2x-5\\x^2-2x-x+1-2x+5=0\\x^2-5x+6=0\\$Factorize\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-3)(x-2)=0\\x-3=0$ or $x-2=0\\x=3$ or x=2[/tex]
However, substituting x=2 does not satisfy the given equation as it would make it undefined.
Therefore x=3
x^2-18-6 completing the square
Answer:
(x+0)^2-24
Step-by-step explanation:
use (b/2)^2 to complete the square.
Answer:
(x+0)^2-24
Step-by-step explanation:
I took ap math XD
Identify the restrictions on the domain of f(x) = x+5/x-2
Answer:-3
Step-by-step explanation:
promise its B
The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;
⇒ x ≠ 2
What is Domain?
The set of all inputs of the function is called Domain of set.
Given that;
The function is,
⇒ f (x) = (x + 5) / (x - 2)
Now,
Since, We know that;
In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
So, We get;
The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;
Make the denominator zero and solve for x as;
x - 2 = 0
x = 2
Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.
Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;
⇒ x ≠ 2
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Which system of inequalities is graphed below?
- 10 -8 -8
-4
4
B
8
10
-8
-8-
-10
Answer:
Option (1)
Step-by-step explanation:
Parent function for both parabolas graphed is, y = x²
For the large parabola,
This parabola is formed by translating the parent function 4 units downwards.
So the equation will be, y = x² - 4
Now graph of the inequality shows the dotted line with shaded area inside the parabola,
Equation of the parabola will be,
y > x² - 4
Similarly, equation of the other parabola will be,
y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]
So the system of inequalities will be,
y > x² - 4
y < x² + 6
Therefore, Option (1) will be the answer.
would this be a? please explain, thanks!
Answer:
Itz B.
Step-by-step explanation:
To form a triangle to two smaller sides have to be able to add up to be greater than the big side
Use laws of exponents to simplify inside the parentheses of the given expression ((a ^ - 2 * b ^ 2)/(a ^ 2 * b ^ - 1)) ^ - 3
The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³
Simplify the expression, then we have
⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³
⇒ [(a² × b⁻¹) / (a⁻² × b²)]³
⇒ [(a⁴ / b³)]³
⇒ (a¹² / b⁹)
The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).
More about the value of the expression link is given below.
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Answer:
D. (b^3/a4)^-3
Step-by-step explanation:
boop boop edge dge
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x ≈ 31.3°
Step-by-step explanation:
We can use sin∅ to solve this:
sinx = 13/25
x = [tex]sin^{-1}(13/25)[/tex]
x = 32.3323
Solve 5(x - 4) = 2(x + 5)for x
5x-20 = 2x+10
3x-20= 10
3x= 30
x=10
Answer:
x = 10
Step-by-step explanation:
Step 1: Distribute parenthesis
5x - 20 = 2x + 10
Step 2: Add 20 to both sides
5x = 2x + 30
Step 3: Subtract 2x from both sides
3x = 30
Step 4: Divide by 3
x = 10
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three numbers.
Answer: A) = 81
Step-by-step explanation:
Say that the four numbers are a,b,c & 97.
Then a+b+c+97/4 = 85
a+b+c+97=340
a+b+c=243
a+b+c/3 = 81
The average of the remaining three numbers is 81.
What is the average of n numbers a₁, a₂, ..., aₙ?The average of the numbers a₁, a₂, ..., aₙ is calculated as
Average = (a₁ + a₂ + ··· + aₙ) / n.
Given
Average of the four numbers = 85,
The largest of the four numbers is 97.
Find the sum of all the four numbers
Let the four numbers be a, b, c, and d. Then, using their given average,
(a + b + c + d) / 4 = 85
⇒ a + b + c + d = 85 × 4 = 340.
Find the sum of the numbers excluding the largest one
Let the largest number be d. So, d = 97. Then, the sum of the remaining three is
a + b + c = 340 - d = 340 - 97 = 243.
Find the average of the three numbers
Using the above definition average of the remaining three numbers is calculated as
Av(a,b,c) = (a + b + c)/3 = 243 / 3 = 81.
The required average of the remaining three numbers is 81.
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Yummy Cookies just opened a brand new cookie bakery, ans sales are increasing every month! In January, the baker made 14 carrot cake cookies. In February, the baker doubled the January order, took 5 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then bring 5 cookies home to his family, how many cookies will the baker sell in March and April?
Answer:
March he sells 51. April he sells 107
Step-by-step explanation:
In jan he made 14 so we double that for feb and have 28.
From that 28 he takes home 5 so we are left with 23.
Then we double 28 for March to get 56 but he takes 5 home which leaves 51 to be sold and so on.
Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME
Answer:
22.5Solution,
Let the number be X
60% of X=13.5
[tex] \frac{60}{100} \times x = 13.5 \\ or \: \frac{60x}{100} = 13.5 \\ or \: 60x = 1350(cross \: multiplication) \\ or \: x = \frac{1350}{60} \\ x = 22.5[/tex]
hope this helps...
Good luck on your assignment..
Answer:
22.5
Step-by-step explanation:
What is 10% of 66,743.22
Answer:
The answer is 6,674.322
Step-by-step explanation:
An easy way to solve this is to move the decimal point up by one space.
You could also multiply 66,743.22 by 0.1 and you would get the answer.
Hope this helps :)
Answer:
6674.322
Step-by-step explanation:
To find 10% we move the decimal one place to the left
66,743.22 moves one place to the left
6674.322