Answer:
21:20
Step-by-step explanation:
Since there are 20 cars with sunroof
Subtract 20 from 41
and you get 21 which are the cars with no sunroof
making it 21:20
Answer: 21 : 20
Step-by-step explanation: Since the factory made 41 cars and 20 of them had a sunroof that means x = 41 -20. So 41 - 20 = 21 cars without sunroof. They ask to put the ratio with cars without sunroof first then cars with a sunroof so it would be 21 : 20.
(x = cars without sunroof)
A glass top of an office table has sides of 21 inches. What is its area?
Answer:
441 [tex]inches^{2}[/tex]
Step-by-step explanation:
If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.
However, if it is a square, meaning all the sides are the same,
we can know that every side is 21 inches long.
An area is the width times the length, which is both 21 in this case.
21 times 21 = 441.
441 inches squared.
Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000
The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
[tex]y =69.9352 + 0.1530\times (income)[/tex] --- model 1
[tex]y =4.2436 + 0.0021\times (income)[/tex] --- model 2
[tex]y =4.1393 + 0.0603\times (income)[/tex] --- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
Model 1
[tex]y =69.9352 + 0.1530\times (income)[/tex]
[tex]y =69.9352 + 0.1530\times 80000[/tex]
[tex]y =12309.9352[/tex]
Model 2
[tex]y =4.2436 + 0.0021\times (income)[/tex]
[tex]y =4.2436 + 0.0021\times 80000[/tex]
[tex]y =172.2436[/tex]
Model 3
[tex]y =4.1393 + 0.0603\times (income)[/tex]
[tex]y =4.1393 + 0.0603\times 80000[/tex]
[tex]y =4828.1393[/tex]
Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
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The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.
Solve using elimination.
y = 3x + 4
3y = 3x + 8
Answer:
4y=9x+12
Step-by-step explanation:
the answer should be that's it
A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $80 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
130
Step-by-step explanation:
Step 1: write equations:
Company A: y = 0.20x + 110
Company B: y = 0.50x + 80
Step 2: graph your lines
Step 3: Find your intersect point
Step 4: find the points: (100,130)
The number of miles is y, so at 130 miles, both trucks are the same cost
Hope that helps
A rhombus has a side length of 6 centimeters, and a height of 2
centimeters.
What is the area of the rhombus, in centimeters??
Answer:
12 cm^2
Step-by-step explanation:
The area of the rhombus is 12 cm².
Given that, a rhombus has a side length of 6 centimetres, and a height of 2 centimetres.
We need to find the area of the rhombus, in centimetres.
What is the area of the rhombus?The formula for the area of the rhombus when base and height are known.
The rhombus is a parallelogram. We know that the area of a parallelogram is given by multiplying base and height sq units. The same is applied to the rhombus as well. Area of a rhombus = Base × Height sq units.
Now, the area of a rhombus= 6×2=12 cm²
Therefore, the area of the rhombus is 12 cm².
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10+4.5m=21.25
Solve for M
Answer:
m = 2.5Step-by-step explanation:
10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5Conclusion:
Therefore, m = 2.5
Hoped this helped.
[tex]GeniusUser[/tex]
The function f(x)is graphed on the coordinate plane.
What is f(−2)?
Enter your answer in the box.
f(−2) =
Answer:
f(-2) = -2
Step-by-step explanation:
f(-2) means find the y value when x = -2
The y value when x = -2 is-2
f(-2) = -2
write the equation of the line in fully simplified slope-intercept form
Answer:
y=1/2x+8
Step-by-step explanation:
grab 2 points in this case (4,10) and (0,8)
use rise over run formula so it rises 2 and goes over 4
so 2/4 then simplify and you get 1/2
and the y intercept is 8 because thats when the slope touches the y line
so using the equation y=mx+b when m is slope and b is y interecpt
the answer should be y=1/2x+8
Answer:
y=2x+8
Step-by-step explanation:
8=b m=y_ý/x_x`=2
y=ax+b
y=2x+8
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
Graph C
Step-by-step explanation:
I will give 100 points for 5 questions
Answer:
1. SSS
2. SAS
3. SAS
4. 1?
5. SSS
Step-by-step explanation:
please help me asap..
ty :)
Answer:
x-intercept = 3, 0
y-intercept = 0, -4
Step-by-step explanation:
Subtract. (5d+6)–(2d+2)
Answer:
3d+4
Step-by-step explanation:
(5d+6)–(2d+2)
To find the opposite of 2d+2, find the opposite of each term.
5d+6−2d−2
Combine 5d and −2d to get 3d.
3d+6−2
Subtract 2 from 6 to get 4.
3d+4
Hope this helps! :)
What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units
Answer:
A. 2 units
Step-by-step explanation:
took the test and got it right
The radius of the circle is r = 2 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of the circle be represented as A
Now , the value of A is
( x - 7 )² + ( y - 10 )² = 4
The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation
Taking the square root of 4, we find that the radius of the circle is 2 units
Hence , the radius is r = 2 units
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Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
4(n-16)=16 this is my question and what I need help on
Answer:
n = 20.Step-by-step explanation:
4(n - 16) = 16=> 4n - 64 = 16=> 4n = 16 + 64=> 4n = 80=> n = 20Conclusion:
Therefore, n = 20.
Hoped this helped.
[tex]GeniusUser[/tex]
when a card is drawn from a well shuffled pack of 52 cards , find the probability of getting the card a club or a jack
Explanation:
There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.
This is out of the 52 total mentioned. So we end up with the probability:
16/52 = (4*4)/(4*13) = 4/13
a) What is the domain?
b) What is the range?
c) Is this relation
a function?
Answer:
Step-by-step explanation:
A. x is negative infinite to positive infinite
b. Y=3
c. Yes
reasoning
a. It’s asking what can x equal Be used domain is like another name for x and of you look on thw graph the arrow is crossing all the x points
B. It’s asking for y since range is another name for y and you see on the y axis, y is only interacts with three and no other point so it’s just y=3
C. It’s a function because it passes the vertical line tes!
A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?
Answer:
The answer would be 5 Girls and 4 Boys.
Step-by-step explanation:
15 Girls divided by 3 groups= 5 girl groups
12 boys divided by 3= 4 boy groups
Answer:
3+3=6
the answer is 6 many groups created
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Find the measure of angle Y.
Answer:
Y = 62°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
W + X + Y = 180°
(4n -9°) + (7n -16°) +(6n -16°) = 180°
17n -41° = 180° . . . . . . . . . . simplify
17n = 221° . . . . . . . . . . add 41°
n = 13° . . . . . . . . . . divide by 17
Then the measure of Y is ...
Y = 6n -16° = 6(13°) -16° = 78° -16°
Y = 62°
_____
The other angles are W = 43°, X = 75°.
Angles of a triangle adds to 180° .
===============================> W + X + Y = 180°
=> (4n-9°) + (7n-16°) + (6n-16°) = 180°
=> 17n-41° = 180°
=> 17n = 180° + 41°
=> 17n = 221°
=> n = 221/17
=> n = 13°
The measure of Y is,=> 6n-16° = 6(13°) -16° = 62°
Y = 62°
help please its timed
i have to write 20 characters so there is ur answer
Someone please help me solve the problem
========================================================
Explanation:
Check out the diagram below.
We have the following points
A = center of both the circle and the squareB = point on the circle directly to the left of point AP,Q,R,S = corner points of the squareE = intersection of segments AB and PSF = point on the square directly to the right of point AC and D = intersection of segment PS and the circleLet x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.
We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.
At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.
----------------------------------
To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.
Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]
The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.
Use these two facts to find the area of each in terms of x.
[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]
[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]
-----------------------------------
The last step is to divide the two results. The x^2 terms cancel out.
We'll be left with...
[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]
There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.
Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.
How tall is Jimmy's plant?
A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?
Answer:
61 minutes and 36 seconds
Step-by-step explanation:
150 mph is equal to 2.5 miles per minutes divide miles by 2.5
Given the point and the slope, write the function in point-slope form:
(2,−5);m=23
Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)
Answer:
2nd answer choice
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y-(-5)=23(x-2)
y+5=23(x-2)
Answer:
(b) y+5=23(x−2)
Step-by-step explanation:
The point-slope form for the equation of a line is ...
y -k = m(x -h) . . . . . . point (h, k), slope m
You have point (2, -5) and m=23, so the equation becomes ...
y -(-5) = 23(x -2)
y +5 = 23(x -2) . . . . . . simplify a bit
need help with question 4
Step-by-step explanation:
it's option D (x³)
hope this helps you.
Mathematic 14 dont undertsqnd
HELP ME PLEASE GUYS! :)
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
please help, i really beg
Answer:
Undefined
Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.
I'm saying positive. I don't think you need a shape to find the slope