Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Dave cleans pools at a constant rate of 2/5 pools per hr what is the ratio of the number of pools he cleans to the number of hours
How many pools can dave clean in 20 hrs
Answer:
For every 1 hour he cleans 2/5 pools, so the ratio of pools to hours is 0.4:1
In 20 hours, Dave can clean 2/5 • 20 = 8 pools.
Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?
Answer:
his balance will be 51.25 rs.
Step-by-step explanation:
200 - 148.75 = 51.25
Answer:
51.25
Step-by-step explanation:
200-148.75
=51.25
Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?
a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.
Answer:
c. Both Tami and Vu performed equally well.
Step-by-step explanation:
To solve this question, we use z score
The formula for calculating a z-score is is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation.
a) For Tami , who took MCAT
We are told:
Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.
x = 524.2 points
μ = 505.6 points
σ = 9.3 points
z = 524.2 - 505.6/9.3
= 2
The z score for Tami is 2
For Vu, who took LSAT
We were told:
Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.
x = 171.1 points
μ = 150.7 points
σ = 10.2 points
z = 171.1 - 150.7/10.2
z = 2
The z score for Vu is also equal to 2
Therefore, we can say the bout Tami and Vu performed equally well.
Option c is the correct answer.
Three minus twice a number x is greater than fifty-five. Write an inequality to represent this statement.
Answer:
2x - 3 > 55
Step-by-step explanation:
the answer is above
pls help me what’s the answer
Answer:
D infinity
Step-by-step explanation:
As x approaches negative infinity, the graph is going up indefinitely, so y approaches infinity.
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
Another way to write (3x-4)^2?
6.25w= -106.25 equals what
plz hurry!
Answer: w = -17
Plzz mark brainliest:)
W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!
What is (2n-9)-5(-2.4n+4)?
Josiah went to the local barber to get his hair cut. It cost $18 for a haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip?
Answer:
$20.7
Step-by-step explanation:
Rewrite 11/40 as a decimal number
Answer:0.275
Step-by-step explanation:
What do you multiply 6 by in order to get -3
Answer:
-1/2
Step-by-step explanation:
Solve the following inequality 4(3-3x)+4x>20
Answer:
x<-1
Step-by-step explanation:
What is 2. 1.
— • —?
3. 2
Simplify to the lowest terms.
PLEASE HELP ASAP!! 20 points!!!
A. 1
—
6
B. 1
—
4
C. 1
—
3
D. 1
—
2
Answer:
a is the answer
Step-by-step explanation:
During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.
Answer:
Constant of proportionality; k = 20/3
Step-by-step explanation:
Let running be A and sprinting be B.
Now, we are told that you run 20 seconds for every 3 seconds you sprint.
This means that is directly proportional to B and written as; A ∝ B.
Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.
Thus, A = kB
Where k is the constant of proportionality
Plugging in the values of A and B we are given, we have;
20 = 3k
Divide both sides by 3 to get;
k = 20/3
Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?
Answer:
Step-by-step explanation:
35
Find the value of x:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. And there ya have it mate.
What is the point slope form of (8,5) and (3,4)?
Answer:
(-2,-4) or (2,4) depending on which one you start on.
Step-by-step explanation:
if you start from the highest point it is (-2,-4)
And if you start from the lowest point (2,4)
A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees
B
60 degrees
C
72 degrees
D
90 degrees
Answer: Your answer is C, 72 degrees.
Step-by-step explanation:
A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.
What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5
Answer:15
Step-by-step explanation:
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).
Select each transformation that carries a square onto itself.
A
A rotation of 180 degrees clockwise about one of the square's vertices.
B
A rotation of 90 degrees clockwise about the square's center.
C
A reflection over one of the square's sides.
D
A rotation of 180 degrees clockwise about the square's center.
E
A reflection over one of the square's diagonals.
Answer: E B D
Step-by-step explanation: I did a test
Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:
A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.For the square to carry itself onto itself, it must either be rotated or reflected.
For reflection:
It must be reflected across any of its diagonalFor rotations:
It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)Hence, the correct options are: B, D and E
Read more about transformations at:
https://brainly.com/question/11709244
if there are 16 ounces in a pound. how many pounds are in 24 ounces
Answer:
1.5 lbs
Step-by-step explanation:
We know that there are 16 ounces in 1 pound.
To find how many pounds are in 24 ounces, simply divide 24 by 16.
Doing this, you get 1.5 pounds.
help help thanks and PLEASE
Answer:
ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7
Step-by-step explanation:
Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps
Chris wants to make ½ a batch of chocolate chip muffins. He has a recipe that calls for ¾ cup chocolate chips. If he only wants to make half a batch, then how many cups of chocolate chips should he put in?
Answer:
ge needs to use 6 tablespoon of chocolate chips
2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103
Answer:
3.26 x 102
Step-by-step explanation:
10 squared is 100
3.26 x 100 = 326 because you move the decimal to the right 2 spots
IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5
Answer:
3:2
Step-by-step explanation:
A:B 7:8 an B:C 12:7 find A C in its simplest form.
ans;
3:2
y-2/3(9x - 3y)
With solution
Answer:
y - (18x - 6y)/3
Step-by-step explanation:
y - (2/3)(9x - 3y)
y - [(2)(9x - 3y)]3
y - (18x - 6y)/3
y + (-18x + 6y)/3
y - 6x + 2y
-6 + 3y
There was a green house. Inside the green house there was a white house. Inside the white house there was a red house. Inside the red house there were lots of babies. What is it?
Answer:
A watermelon my woman
Step-by-step explanation:
A monkey is swinging from a tree. On each swing, she travels along an arc that is 75%, percent as long as the previous swing's arc.
Answer:
The Total length of the first swing=64 m.
Step-by-step explanation: