Answer:
15.62
Step-by-step explanation:
Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
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pls can u help me with this
Answer:
A = 1.26
B = 1.22
Store B is better
Step-by-step explanation:
5.04 divided by 4
2.44 divided by 2
Round off 31623 to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
31623
1 is less than 5 so you dont round up
30,000
-- Gage Millar, Algebra 2 Tutor
Given the radius is 6 inches, what is the area of the circle?
Area =
inches2 (the 2 is supposed to be an exponent)
Answer:
I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi (6^{2})[/tex]
[tex]A=\pi (36)[/tex]
From here, there can be a few different answers:
The exact answer is A=36π inches^2.
If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2
If you're using 3.14 for pi, the answer is A=113.04 inches^2.
ellipse with vertices (-3, 4), (11, 4) and foci (-1, 4), (9.4)?
Answer:
[tex]\frac{(x-4)^2}{49}+\frac{(y-4)^2}{24}=1[/tex]
Step-by-step explanation:
Because the vertices are on the same horizontal line and so are our foci, this is our major axis for a horizontal ellipse.
Horizontal Ellipse:
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
a>b
Major axis length: 2a
Minor axis length: 2b
Center: (h,k)
Foci: (h±c,k) where a²-b²=c²
We can easily find the center of the ellipse by finding the midpoint of our vertices (-3,4) and (11,4) which works out to be (4,4)
Because our foci must be (-1,4) and (9,4) this means (4±c,4) represents our foci. We can easily see that c=5 since (4-5,4) -> (-1,4) and (4+5,4) -> (9,4).
Knowing that c=5, we need to determine our values for a and b to satisfy the equation a²-b²=5². Our vertices are located on the major axis, which will help us in finding the value of a. The distance between the two vertices will be the length of the major axis, which will be |11-(-3)| = 14. Additionally, because the length of the major axis is equal to 2a, this means 2a=14 where a=7. Now we can solve for b with our equation 7²-b²=5² where b=√24.
In conclusion, our ellipse would be:
[tex]\frac{(x-4)^2}{7^2}+\frac{(y-4)^2}{\sqrt{24}^2}=1[/tex] which works out to be [tex]\frac{(x-4)^2}{49}+\frac{(y-4)^2}{24}=1[/tex]
The equation of ellipse with vertices (-3, 4), (11, 4) and foci (-1, 4), (9.4) is
(x-4)^2/49 + (y-4)^2/24 = 1
What is equation of an ellipse?The standard equation of an ellipse centered at (h, k) with a major axis parallel to the x-axis is given by:
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
where the coordinates of the vertex are (h±a, 0), coordinates of co-vertex are (h, k ± b) and the coordinates of foci are (h±c, k), where a² = c² + b².
here, we have,
Because the vertices are on the same horizontal line and so are our foci, this is our major axis for a horizontal ellipse.
Horizontal Ellipse:
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
where,
a>b
Major axis length: 2a
Minor axis length: 2b
Center: (h,k)
Foci: (h±c,k) where a²-b²=c²
We can easily find the center of the ellipse by finding the midpoint of our vertices (-3,4) and (11,4) which works out to be (4,4)
Because our foci must be (-1,4) and (9,4) this means (4±c,4) represents our foci. We can easily see that c=5 since (4-5,4) -> (-1,4) and (4+5,4) -> (9,4).
Knowing that c=5, we need to determine our values for a and b to satisfy the equation a²-b²=5².
Our vertices are located on the major axis, which will help us in finding the value of a.
The distance between the two vertices will be the length of the major axis, which will be |11-(-3)| = 14.
Additionally, because the length of the major axis is equal to 2a, this means 2a=14 where a=7.
Now we can solve for b with our equation 7²-b²=5² where b=√24.
In conclusion, our ellipse would be:
(x-4)^2/49 + (y-4)^2/24 = 1
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find the center and radius of the circle with equation (x + 9)^2 + (y + 5)^2 = 64
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] with the really important part being the x- and the y-. If our first set of parenthesis is
[tex](x+9)^2[/tex], by the definition of the standard form of a circle, it actually is
[tex](x-(-9))^2[/tex] which is obviously negative (that's the h of the center of the circle);
If our second set of parenthesis is
[tex](y+5)^2[/tex], by the definition of the standard form of a circle, it actually is
[tex](y-(-5))^2[/tex] which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so
Center (-9, -5), radius 8
Marking brainliest
Please help!
X/5 + 7 = 42 PLS HELP
Answer:203
Step-by-step explanation: multiply 5 on both sides to get rid of the fraction.
You’ll get : x+ 7 = 210
Then subtract 7 from 210. You’ll get 203.
Scott and Dan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Scott spent $150 on 9 hostas and 12 shrubs. Dan spent $41 on 4 hostas and 3 shrubs. What is the cost of one hosta and the cost of one shrub?
Answer:
shrub = $11
hosta = $2
Step-by-step explanation:
Two equations can be derived from the equation
9h + 12s = 150 equation 1
4h + 3s = 41 equation 2
s = shrubs
h = hostas
this question can be solved using simultaneous equation
Multiply equation 2 by 4
16h + 12s = 164 equation 3
Subtract equation 1 from 3
7h = 14
h = 2
substitute for h in equation 1
9(2) + 12s = 150
12s = 150 - 18
12s = 132
s = 11
heyy! i’ll give brainliest please help thanks
Answer:
Aswan, Sudan
Step-by-step explanation:
Answer:
egypt and africa
Step-by-step explanation:
Form 2R Coursework #1
Transformations
1. A is the point (-3,5). What are the coordinates of the image of A after a translation of 5
units to the right and 1 unit down?
Answer: 2,4???
Step-by-step explanation:
8 x 10-3 is how many times as great as 4 x 10-6?
Answer: about 2 times greater
Step-by-step explanation:
If 4 cups of milk is required to make 20 pancakes, how much milk will 30 pancakes require?
Hope this help!!!!!!! :)
Quantity of flour needed to make 20 pancakes =
Then , number of pancakes that can be made from 1 cup of floor :-
.
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-
Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-
Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
Step-by-step explanation:
One of the flights was 350 miles and its residual was -
105.00. What was the fare for this flight?
Based on data taken from airline fares and distances
flown, it is determined that the equation of the least-
squares regression line is ý = 102.50 +0.65x, where
ý is the predicted fare and x is the distance, in miles.
O $102.50
O $435.00
O $225.00
O $330.00
Answer:
O $225.00
Step-by-step explanation:
Given that
The one of the flight was 350 miles
And, its residual is 105
The regression line is y = 102.50 + 0.65x
where
y denotes the expected fare
And, x denotes the distance
We need to find out the fair of the flight
So,
y = 102.50 + 0.65 (350)
= 330.00
Now the fare is
= 330 - 105
= 225
Answer:
(C) 225 Is correct.
Predicted cost - residual = answer
y= 102.50 + .65(35)
330 - 105 = 225
255
ED2021
What is the rule for reflecting across the x-axis?
(x,y)=(x,-Y)
O (x,y)=(-x,y)
O (x,y)=(-x-7)
O (x,y)=(x,y)
The total production of 16395 tons of wheat was divided equally and sent to 76 public distribution shops and the remaining was used for midday meals for students on a National Holiday. Find the quantity of wheat used for midday meals? Mention the value you depict from this.
Answer:
55 tons
Step-by-step explanation:
to determine the tons shared among the shops, determine the whole number that would be derived in 16395 were divided by 76. it is 215
multiply 215 by 76 and subtract from 16375
16375 - 16340 = 55
As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change? Show your work.
pleaseeeeee help =)
As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change?
Answer:-You should have these values backwards like:-
=> 1/34 lb is less than 1/4 lb.
Next:-
We're gonna find a specific common denominator,
Then we get: (17/68 - 2/68)/(1/4) = 60/68 = 15/17 lb/hour
___________________________
[tex]\huge{ \mathfrak{ \underline{ Answer}}} \: \: ✓ [/tex]
____________________________
Change in weight :
[tex]1 \dfrac{3}{4} - \dfrac{1}{4} [/tex][tex] \dfrac{7}{4} - \dfrac{1}{4} [/tex][tex] \dfrac{6}{4} lb[/tex]_____________________________
Time taken to melt :
[tex]\dfrac{1}{4} \: hr[/tex]_____________________________
Rate of change in weight of ice :
[tex] \mathrm{ \dfrac{change \: \: in \: \: weight}{time \: taken} }[/tex][tex] \dfrac{6}{4} \div \dfrac{1}{4} [/tex][tex] \dfrac{6}{4} \times 4[/tex][tex]6[/tex]The rate of change in weight of Ice is 6 lbs per hour ( 6 lb / h )
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
What is the equation of the line that passes through (4, 3) and (-4,-1)?
Answer:
[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]
Step-by-step explanation:
Given :-
Two points (4,3) and (-4,-1)And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,
[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]
Let us take that ,
[tex](x_1,y_1)=(4,3) [/tex][tex](x_2,y_2)=(-4,-1)[/tex]Now substitute the respective values ,
[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]
Hence the correct option is (2) .
∞
∑ (3+na)
n=1
Identify the following series as arithmetic, geometric, both, or neither.
Answer:
I think or maybe if you want me to say this the given series is a geometric one with fert term, -3 and common ratio -1
Step-by-step explanation:
I am so sorry if this is not what you meant I apologize
Find all numbers between 200 and 500 which have exactly 9 factors
Answer:
225, 256, 441, 484
Step-by-step explanation:
Only square numbers can have an odd number of factors, e.g. 4: 1, 2, 4
Therefore only square numbers can have 9 factors.
There are only 8 square numbers between 200 and 500: 225, 256, 289, 324, 361, 400, 441, 484.
One way is to list all the factors of each number and you will find that only 225, 256, 441 and 484 have 9 factors.
The other more efficient way is to acknowledge the fact that if a square number (n x n) has 9 factors, n must have only 4 factors. For example, 225 has 9 factors because it is equal to 15 squared and 15 only has 4 factors: 1, 3, 5, 15.
This way, we can find out that 15, 21 and 22 have exactly 9 factors. However, 256 has 9 factors as well as it is equivalent to 2 to the power of 8. This means that it already has 8 factors: 2, 4, 8, 16...,128, 156. However, we must include 1 as a factor which means it has 9 factors in total as well.
Figure B is a scale image of Figure A, as shown. What is the scale factor applied to
Figure A to produce Figure B?
Solve the system of equations. \begin{aligned} & -2x+15y = -24 \\\\ & 2x+9y=24 \end{aligned} −2x+15y=−24 2x+9y=24
Answer:
(12, 0)
Step-by-step explanation:
Given the system of equations;
-2x+15y = - 24 .....1
2x + 9y = 24 ....2
Using Elimination method
Add both equations
15y + 9y = -24 + 24
24y = 0
y = 0/24
y = 0
Substitute y = 0 into 2
From 2;
2x + 9y = 24
2x + 9(0) = 24
2x = 24
x = 24/2
x = 12
Hence the solution to the system of equation is (12, 0)
a triangle has side lengths 10, 16, and 11. is the triangle actue, obtuse, or right?
Answer:
Obtuse
Step-by-step explanation:
a^2 + b^2 = c^2
10^2 + 11^2 = 16^2
100 + 121 = 256
221 = 256
221 < 256
A triangle has side lengths 10, 16, and 11. is the triangle is obtuse.
Name three types of triangles based on angles?Triangles can be classified into three types with respect to their interior angles which are:
1. Acute-angled
2. Obtuse-angled
3. Right-angled
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse.
Three given sides are 10, 11, 16
Let a = 10, b = 11, c = 16
then, [tex]a^{2} +b^{2} = 10^{2} +11^{2}[/tex]
= 100 + 121
= 221
and [tex]c^{2} = 16^{2} =256[/tex]
Since, [tex]a^{2} +b^{2} < c^{2}[/tex]
Thus, given triangle is obtuse.
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I need help please :)
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here: The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
This question is incomplete, the complete question is;
A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.
Answer:
a)
The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b)
The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
Step-by-step explanation:
Given the data in the question;
Test Results Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
Number of persons affected by disease with positive factor of X = 40
Number of persons with negative factor of X without the disease = 140
Total number of persons affected by the disease = 40 + 10 = 50
Total number of persons not affected by the disease = 60 + 140 = 200
a) Sensitivity of the Test;
Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100
we substitute
Sensitivity = [ 40 / 50 ] × 100
Sensitivity = 0.8 × 100
Sensitivity = 80%
Therefore, The sensitivity of this test is expressed as 80%
Option B) 80% is the correct answer.
b) The specificity of the test;
Specificity = [ ( Number of persons with negative factor of X without the disease) / ( Total number of persons not affected by the disease ) ] × 100
we substitute
Specificity = [ 140 / 200 ] × 100
Specificity = 0.7 × 100
Specificity = 70%
Therefore, The specificity of this test is expressed as 70%
Option D) 70% is the correct answer.
PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!
Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars
quality plumbing charges 50 for each hour of work plus one time fee of 150
t or f quality plumbing charges the least for 5 hours of work false
Step-by-step explanation:
I think this is correct, no time to explain if you need this answer fast
help plssssss!!!!!!!
the shadow of a man who is 1.80m tall is 3.90 m long. if at the same the shadow of trees is 5.20m long. how tall the tree is?
Answer:
3.10 I think
hope it helpedWhat is the answer to this 3a-b;a=4b=6
Answer:
3a-b
3×4-6 solve by using the rules of BODMAS
12-6
6(ans)
Hope it helps
Find the volume of the cylinder
Either enter an exact answer in terms of pie or use 3.14 for pie.
Please help me any help will be appreciated thank you!
Answer:
500π m^3
Step-by-step explanation:
The question is not complete
Cylinders are described with dimensions as
Diameter and Height
Say the diameter is
D= 10m
and Height is
H=20
Hence the radius is
R= D/2= 10/2= 5 m
Therefore the volume is gotten as
V= πr^2h
V= π*5^2* 20
V= π*25*20
V= 500π m^3
Hence the volume is 500π m^3