Answer:
Range: y ≥ -1
Step-by-step explanation:
The are no limits on the domain because x can be any value
( x-3) ^2 must be greater than or equal to zero since it is squared
0 -1 = -1
The smallest value the range can be is -1
y ≥ -1
a right square pyramid has a slant height of 20 feet, and the length of a side of the base is 32 feet. what is the height, h, of the pyramid?
Answer:
The pyramid's height h = 12 ft
Step-by-step explanation:
Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).
The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.
then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:
[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]
Answer:
C.12ft
Step-by-step explanation:
for people on edmentum
The power in watts,P, that is generated by a certain electric circuit depends on the current in amperes ,i, and can be modeled by the equation P=20(i-3)^2+180, Where i>3. Which of the following gives the value of i in terms of P?
i=3+2squareroot5(P-180)
i=3+1/2sq p-180/5
Answer:
i = {√(P-180)/20}+ 3
Step-by-step explanation:
Here, we simply need to make i the subject of the formula
that would be;
P -180 = 20(i-3)^2
Divide through by 20
(P-180)/20 = (i-3)^2
Find the square root of both sides
sqr (P-180)/20 = i-3
i = {√(P-180)/20}+ 3
The inequality graphed below represents the ages, a, of
players on a baseball team.
Which inequality represents the same ages?
0 12 < a < 18
10 11 12 13 14 15 16 17 18 19 20
o 12 sa< 18
0 12 >as 18
O 122 a< 18
Answer:
the first one
Step-by-step explanation:
the others don't make any sense and also the first one's the only one that's in inequality form.
The inequality that represents the ages is 12 ≤ a ≤ 18.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The inequality graphed below is shown.
The number line includes the numbers 12 and 18.
So,
The ages of the baseball team are 12 to 18.
This can be written as,
12 ≤ a ≤ 18
Thus,
The inequality that represents the ages is 12 ≤ a ≤ 18.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
What is this expression in simplified form? 3√3 * 6√6
Answer:
The answer is 54√2Step-by-step explanation:
( 3 √ 3)(6√6) = ( 3 × 6) (√ 6 × 3)
= 18√18 = 18( √ 9 × 2)
= 18 ( √9 × √2)
= 18( 3√2)
= ( 18 × 3)√2
= 54√2Hope this helps you
3√3 x 6√6
multiply whats outside the radical and put it outside:
6 x 3 = 18 ------> 18√x
and multiply what's inside and place it inside:
3 x 6 = 18 --------> x√18
so now, you have 18√18, which can be simplified to:
18√(9 x 2)
18√9√2 = 18*3√2 = 54√2
If f(x) equals 5X +40, what is F of X when X equals -5
Answer:
15
Step-by-step explanation:
f(x) = 5x + 40
Put x as -5.
f(-5) = 5(-5) + 40
f(-5) = -25 + 40
f(-5) = 15
Answer:
15
Step-by-step explanation:
We already know that [tex]f(x)=5x+40[/tex]. To find [tex]f(x)[/tex] when [tex]x=-5[/tex], we simply need to plug -5 into the equation. Thus:
[tex]f(-5)=5(-5)+40=-25+40=15[/tex]
The answer is 15.
Combine the like terms to get an equivalent expression: 8r+7−6r−5
Answer:
the correct answer would be 2r+2
Step-by-step explanation:
8r-6r=2r
7-5=2
Answer:
2r + 2
Step-by-step explanation:
8r+7−6r−5
Terms with r are like terms and can be combined together.
Terms with no variable are like terms and can be combined together.
Terms with r and terms with no r are not like terms and cannot be combined together.
8r + 7 - 6r - 5 =
= 8r - 6r + 7 - 5
= 2r + 2
HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!
Answer:
the total amount is £ 756.
hope it helps..
WILL MARK BRAINLIEST
PLEASE ANSWER
Answer:
no
Step-by-step explanation:
hey
it's 11 that grade, please help me I'm stuck
Answer:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
Step-by-step explanation:
To calculate left hand limit, we use a value slightly lesser than that of 0.
To calculate right hand limit, we use a value slightly greater than that of 0.
Let h be a very small value.
Left hand limit will be calculate at 0-h
Right hand limit will be calculate at 0+h
First of all, let us have a look at the value of f(0-h) and f(0+h)
[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]
[tex]f(0-h)=-1 ....... (1)[/tex]
[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]
[tex]f(0+h)=1 ....... (2)[/tex]
Now, left hand limit:
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]
Using equation (1):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1
Now, Right hand limit:
[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]
Using equation (2):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1
Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit
So, the answer is:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
SOMEONE PLS HELP ME WITH THIS ASAP
The diagram shows a circle with a
circunference of 88 cm and a sector of a circle.
Khairul uses the circle and the sector
to form a right cone with the height of 15 cm Calculate the volume, in cm of the cone formed.
[tex]use \: \pi = \frac{22}{7} [/tex]
Answer:
Let's solve for the radius.
r = C / 2π = 88 / (2 * 22/7) = 14
Volume of a cone = 1/3 * πr²h
= 1/3 * 22/7 * 14² * 15
= 3080 cm³
What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? Their is 10 marbles total, 2 yellow, 3 pink, and 5 blue. PLZ I NED DA HELP
Answer:
pretty sure it would be 4/45. hope this helps!
What is the equation for a straight line that would allow you to predict the value of Y from a given value of X. That is, calculate the value of "a" and the value of "b" and then substitute the 2 values into the generic equation (Y = a + bX) for a straight line. (Hint: calculate "b" first)
Answer:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Step-by-step explanation:
We have the following data:
X: 3,3,2,1,7
Y:6,7,8,9,5
We want to find an equationinf the following form:
[tex] y= bX +a[/tex]
[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
So we can find the sums like this:
[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]
[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]
[tex]\sum_{i=1}^n x^2_i =72[/tex]
[tex]\sum_{i=1}^n y^2_i =255[/tex]
[tex]\sum_{i=1}^n x_i y_i =99[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]
And the slope would be:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
52:PLEASE HELP Find the slope of the line that passes through the points (8,2) and (9,7)
Answer:
5/1
Step-by-step explanation:it goes up 5 and over 1
Answer:
5Solution,
Let the points be A and B
A ( 8 , 2 ) -----> (X1 , y1 )
B ( 9 , 7 ) -------> (x2 , y2)
Now,
Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{7 - 2}{9 - 8} [/tex]
[tex] = \frac{ 5}{1} [/tex]
[tex] = 5[/tex]
Hope this helps..
Good luck on your assignment...
Un comerciante de algodón de azúcar gana 40 cm por cada algodón vendido pero si no lo logra venderlo pierde 50 céntimos. un día en que fabricó 120 algodones obtuvo una ganancia de 39 soles ¿Cuántos algodones no logró vender ese día?
Answer:
He fails to sell that day 10 cottons.
Step-by-step explanation:
We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.
One day when he made 120 cottons, he made a profit of 39 soles.
Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.
So, according to the question;
The first condition states that he made 120 cottons on one day, that is;x + y = 120
x = 120 - y ---------------------- [Equation 1]
The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;[tex]0.40x - 0.50y=39[/tex]
[tex]40x - 50y=3900[/tex]
[tex]40(120-y) - 50y=3900[/tex]
[tex]4800-40y - 50y=3900[/tex]
[tex]90y=4800-3900[/tex]
[tex]90 y = 900[/tex]
[tex]y=\frac{900}{90}=10[/tex]
This means that the merchant is not able to sell 10 cottons.
convert 4 1/3 feet to inches
Answer:
52 inches
Step-by-step explanation:
Answer:
we have, 1 feet =12 inches
13/3 foot =12×13/3 inches
=52 inches.
thereforethe , the answer is 52 inches.
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
A package of 8-count AA batteries cost $6.16. A package of 20-count AA batteries cost $15.60. Which statement about the unit prices is true?
Answer:
The unit prices will be within the range of $0.77 ≤x≤$0.78
Step-by-step explanation:
If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:
8 counts AA batteries = $6.16
A unit price (i.e 1 count) = x
Cross multiplying
8 × x = 6.16 × 1
x = 6.16/8
x = $0.77 for a unit price
Similarly, if 20-count AA batteries cost $15.60, then:
20 counta = $15.60
1 count = x
Cross multiplying
20 × x = $15.60 × 1
x = $15.60/20
x = $0.78 for a unit price
From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range
$0.77 ≤x≤$0.78
Answer:
The 8-count pack of AA batteries has a lower unit price of 0.77
per battery.
Step-by-step explanation:
n is an interger -15<3n《6
write the values of n
Answer:
So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).
Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.
Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).
We begin the real "proof" by expanding f(n + 1):
f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.
= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".
= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).
= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.
= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.
= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.
Q.E.D. (which means "that which was to be proven", in other words: "voilà")
Step-by-step explanation:
Express £5 as a fraction of £4.
Answer:
£5/£4
Step-by-step explanation:
£5 over £4 can be expressed as a fraction.
⇒ £5/£4
2x-2/5=8 Please explain answer
Answer:
x=21
Step-by-step explanation:
1. 2x-2/5*5=8*5 Multiply the 5 on both sides to cancel out the denominator.
2. 2x-2+2=40+2 Add 2 on both sides to isolate the term with the variable.
3. 2x/2=42/2 Divide both sides by 2 in order to isolate the variable itself. Yay, you got the answer, 21!
Heyy I hope you have a great day, this took forever to type so it would be very appreciated if you marked this answer as brainliest... UwU
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.
Expand (x+3)(2x-4)(x-6)
Answer:
The answer is
2x³ - 10x² - 24x + 72Step-by-step explanation:
(x+3)(2x-4)(x-6)
Expand
We have
(x + 3) ( 2x² - 12x - 4x + 24)
(x + 3)( 2x² - 16x + 24)
2x³ - 16x² + 24x + 6x² - 48x + 72
Simplify
Group like terms
2x³ - 16x² + 6x² + 24x - 48x + 72
We have the final answer as
2x³ - 10x² - 24x + 72Hope this helps you
294 blue balls,252 pink balls,and 210 yellow balls are distributed equally among some student with non left over .what is the biggest possible number of student
Answer:
42
Step-by-step explanation:
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.
294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7
Greatest common factor = 2*3*7 = 42
The biggest possible number of students to distribute the balls equally is 42
Factor the expression completely.
4n2 + 28n +49
. (2n + 7) (2n +7)
(2n + 7) (2n - 7)
(2n – 7)
4n (n + 7) + 49
NEXT QUESTION
ASK FOR HELP
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
[tex]4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)[/tex]
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0 Leave your answer in the form y=mx+c
Answer:
2x+y
Step-by-step explanation:
Simply remove the +2
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y + 2 = 0 ( subtract 3x + 2 from both sides )
y = - 3x - 2 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (3, - 4) into the partial equation
- 4 = - 9 + c ⇒ c = - 4 + 9 = 5
y = - 3x + 5 ← equation of line in form y = mx + c
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
identify an equation in slope intercept form for the line parellel to y=-3x+7 that passes through (2,-4)
Answer:
y= -3x+2
Step-by-step explanation:
Parallel lines have the same slope. We can form an incomplete equation:
y= -3x+b
(make sure to see why the slope is -3)
We can plug in the coordinates of (2, -4):
-4= -3(2)+b
-4= -6+b
2=b
b is 2! We can form an equation: y= -3x+2
Create a birthday Polynomial with 07.01.2006
Answer:
Step-by-step explanation:
the birthday date is : 07/01/2006 so the numbers are : 07012006 let's switch them : 60021070 we have 8 numbers so our highest degree is 7 6*(x∧7)+0*(x∧6)+0*(x∧5)+2*(x∧4)+1*(x³)+0*(x²)+7*x+0*(x∧0) 6*(x∧7)+2*(x∧4)+x³+7xHere is another example :
1/5 of a chocolate chip cookie has 30 cal how many calories are in a whole cookie
Answer:
150 cal
Step-by-step explanation:
5x30=150
Answer:
150 calories.
Step-by-step explanation:
Assuming there is the same amount of chocolate as well as cookie dough throughout the whole cookie.
You know that 1/5 of a chocolate chip cookie has 30 calories.
Find one cookie, by multiply 5 to both numbers. Set the equation:
1/5x = 30
Isolate the variable. Multiply 5 to both sides:
(1/5x) * 5 = (30) * 5
x = 30 * 5
x = 150
150 calories is your answer.
The image of the point (4,-2) under a rotation 180 degrees about the origin is: A. (−4,−2) B. (−4,2) C. (−2,−4) D. (−2,4)
Answer:
(-4,2)
Step-by-step explanation:
when rotated about 180 degrees, you change both signs