Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
As the domain is (-1, 3)Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
19=10−5x+9x−7
what is x?
Answer:
4
Step-by-step explanation:
fourrrrrrr
2x + -10 = 10 + -3x
Explanation
Reorder the terms:
-10 + 2x = 10 + -3x
-10 + 2x = 10 + -3x
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add 3x to each side of the equation
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Answer
So your answer is x=4
hope that helps you:)
geometry help please
=======================================================
Explanation:
Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.
So,
GJ = 2*PQ
Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ
Or in short,
GJ = 2*RJ
---------
In summary we can see that
GJ = 2RJGJ = 2PQequating both right hand sides leads to
2RJ = 2PQ
RJ = PQ
Because PQ is 10 units, this means RJ is also 10 units.
--------------------
Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.
Help please. Order from greatest (left) to least.
Answer:
[tex]\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
Step-by-step explanation:
[tex]Lets\ take\ \pi 's\ approximate\ value\ as\ 3.14159\\Hence,\\ \pi +3\\=3.14159+3\\=6.14159\\2\pi -\sqrt{9} \\=2*3.14159-3\\=6.28318-3\\=3.28318\\\frac{\pi }{2} \\=1.570795\\[/tex]
[tex]As\ we\ can\ see\ that,\\6.14159>3.28318>1.570795,\\Their\ corresponding\ values\ are\ also\ in\ the same\ order:\\\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
through (-4,3) , perpendicular to m=-2/3
Answer:
The equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
Step-by-step explanation:
Given
The point (-4, 3)m = -2/3We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
[tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 3/2 and the point (-4, 3)
[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]
[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]
Add 3 to both sides
[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]
[tex]y=\frac{3}{2}x+9[/tex]
Thus, the equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
The value of y varies directly with the value of x. When y = 24, x = 4. What is the value of x when y = 48?
Answer:
24/6=4
48/6= 8
so x=8
Step-by-step explanation:
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer/step-by-step explanation:
We know that during their first year, the company caught 95,000 fish, and the amount of fish caught decreased 4% each year. First, let's calculate 4% of 95,000, by doing the equation: 95,000 x 0.04 = 3,800
So, each year, the company catches 3,800 less fish.
In order to find out how many fish the company caught in ten years, we need to multiply 3,800 x 10 and then subtract it from 95,000. Then we need to multiply that number by 10.
3,800 x 10 = 38,000
95,000 - 38,000 = 57,000 x 10 = 570,000.
Therefore, the company caught a total of 57,000 fish in the first ten years.
Hope this helps! :D
Carrie invests some money at a rate of 8% per annum.
After 1 year there is £2754 in the account. How much did she invest?
Carrie must have invested £2550 at 8% interest rate for 1 year
What is the present value of £2754 ?
The present value of £2754 is its today's worth of the £2754 that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754 today
PV=FV/(1+r)^N
PV=amount invested=unknown
FV=worth of investment after 1 year=£2754
r=interest rate=8%
N=number of years since invested=1
PV=£2754/(1+8%)
PV=£2754/1.08
PV=£2550
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A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
fraction 3 and 3 over 5 cubic feet
fraction 4 and 1 over 5 cubic feet
fraction 5 and 2 over 5 cubic feet
fraction 7 and 1 over 5 cubic feet
Answer:
fraction 3 and 3 over 5 cubic feetStep-by-step explanation:
Volume formula V= lwh
Given
l = 2 2/3 = 8/3 ftw = 1 1/8 = 9/8 fth = 1 1/5 = 6/5 ftVolume is:
V = 8/3*9/8*6/5 =18/5 = 3 3/5 ft³Correct option is A
Answer:
fraction 3 and 3 over 5 cubic feet
Step-by-step explanation
At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight for senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?
I. The mean of this new distribution is 168 + 117.
II. The standard deviation of this new distribution is 5+ 7.
III. The variance of this new distribution is 52 + 72
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II, and III
Answer:
I and III only. Got it correct on Stats test.
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
Given that, at King Kong High School, the average weight of senior boys is 168 lbs.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Here, a new distribution is created by adding the boys' weights and the girls' weights together.
So, the new average weight of senior boys and girls
= 168+117
= 285 lbs
The new standard deviation is 5+7
= 12 lbs
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
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Laura's yard is in the shape of a square and a half-circle. She just got a puppy named Sprinkles for her birthday. In order to keep him safe, she wants to line the perimeter of her yard with a fence. How much fencing will she need to enclose the entire yard and keep Sprinkles from running away?
Answer:
The total perimeter she would need to fence would be:
4L + πr
Step-by-step explanation:
Since her yard is a square and half a circle, and she wants to fence the whole distance around the square and the half circle, then she needs to know the perimeter of a square and semicircle.
The perimeter of a square which is the distance around the square is given by 4L where L is the side length.
The perimeter of a circle, which is the circumference of a circle is 2πr, where r is the radius of the circle Therefore, half a circle would be 2πr/2 = πr.
The total perimeter she would need to fence would be:
4L + πr.
1-Rodrigo spent $1.47 to buy 3 red balloons. The balloons all had the same price. How much did each balloon cost?
Answer:49 cents
Step-by-step explanation:
U have to divide the 1.47 into 3
The graph represents f(x) = x +3
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).
What is f(−2.2)?
-2
0
1
2
Answer:
c. 1
Step-by-step explanation:
edge 2020 :) have a nice day
The required value of f(-2.2) is 1 for the given function f(x)=x+3. The correct answer is an option (C).
The given function is f(x)=x+3.
To find f(-2.2) on the given graph of f(x) = x + 3, we need to locate the corresponding point on the step graph.
From the information provided, we know that the left-most segment starts at (-5, -1) and ends at (-4, -1), and each segment is 1 unit higher and 1 unit farther to the right than the previous segment.
To determine the value of f (-2.2), we need to find the segment that includes the x-coordinate of -2.2.
Since the x-coordinate -2.2 falls between -4 and -3 (1 unit to the right of the left-most segment), the corresponding y-coordinate is 2 units higher than the starting y-coordinate of -1.
So, f(-2.2) = −1 + 2
f(-2.2) = 1.
Thus, the required value of f(-2.2) is 1.
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i hate school okokokokokok
Answer:
Thanks for the free points...
I love school by the way
Answer:
hey
can you give me a brainliest
Step-by-step explanation:
At a chili festival over the past few years , restaurant a won 56 out of 98 contest. Restaurant b won 84 out of 147 contests. Which restaurant has the better record? what decimal represents the wins for restaurant a ? what decimal represents the wins for restaurant b?
At the chili festival both restaurant (a) and (b) have the same record of winnings as they have equivalent fractions: 4/7
Information about the problem:
Winnings restaurant a = 56Contest restaurant a = 98Winnings restaurant b = 84Contest restaurant b = 147Which has the better record=?what decimal represents the wins for restaurant a =?what decimal represents the wins for restaurant b =?Calculating which restaurant has the better record, we get:
Rate (a) = Winnings restaurant a / Contest restaurant a
Rate (a) = 56/98
Simplifying, we get:
Rate (a) = 4/7
Rate (a) = 0.5714285
Rate (b) = Winnings restaurant b / Contest restaurant b
Rate (b) = 84/147
Simplifying, we get:
Rate (b) = 4/7
Rate (b) = 0.5714285
That means 56/98 and 84/147 are equivalent fractions.
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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a music store brought a CD set at a cost of $10. When the store sold the CD set,the precent markup was 10%. Find the selling price
Answer:
1
Step-by-step explanation:
10% percent of 10 is 1. I hope this helps you out!
Answer:
$1.00
Step-by-step explanation:
10 times .1 = 1
help meh then i give you sum huge amount of points!
Answer:
It's D
Step-by-step explanation:
10 divided by 20
Carlos purchased four pounds of oranges for $3.20. He later realized he needed nine pounds.
How much more money will he need to spend to bring his total up to nine pounds?
Answer: 5.8
Step-by-step explanation:
To find the answer to this question, you need to find the difference between the two numbers. To find the difference between the two numbers you have to subtract.
9 - 3.20 = 5.8
Answer:
$4
Explanation
3.20 / 4 = .80 .80 x 9 = 7.20 7.20 - 3.20 = 4
SOMEONE PLZ HELP I WILL GIVE BRAINLY
Two cars on a roller coaster hold 14 riders combined. If 12 cars are linked together, how many riders can fit on the roller coaster at one time? Explain how to solve this problem.
please please helpppp
( ˘ ³˘)♥︎
Given m
11
n, find the value of x and y.
m
(5x+9)
(y+20)
n
(4x+17)
Answer: x=8 and y=29
Step-by-step explanation:
Since the lines M and N are parallel to each other, the corners that are across from each other are equal. This is true for the corners formed by the lines on the top and bottom.
So, all of the given equations can be set equal to each other. ie: (5x+9)=(4x+17)=(y+20).
Now, since the first two expressions both have x as their only variable, set those equal to each other and do not include the y expression.
ie: (5x+9)=(4x+17)
Now solve for x by subtracting 4x from each side.
ie: x+9=17
Now subtract 9 from each side
ie: x=8
Now you have your X value
Use your X value to solve one of the x variable equations.
ie: 5(8)+9
This equals 49.
Use this answer to substitute it in the equation where we set them all equal.
ie: 49=y+20
Now solve for y using this equation
ie: y=29
which equation represents the graph?
The temperature at 6:00 A.M. 58 degrees Fahrenheit. The temperature increased at a constant rate of 3 degrees Fahrenheit every hour until 10:00 A.M. The equation below models t as a function of h where t is temperature and h is hours. t=58+3h which set represents the range of this function. a.{h:0≤h≤4} b.{h:0≤h≤12} c.{t:58≤t≤70} d.{t:0≤t≤70}
Answer: [tex]c. (t:58\leq t\leq 70)[/tex]
Step-by-step explanation:
given data:
T = 58 degree Celsius.
changes in temperature = 3dregres every hour = 4.
solution:
[tex]t=58+3h\\where h = 4[/tex]
substitute the value for h into the equation.
[tex]t=58+3(4)\\t=58+12\\t=70[/tex]
the set with [tex]58\leq t\leq 70[/tex] best represents the function range.
PLZ HELP ASAP! MARKING BRAINLIEST AS WELL!
Three hens lay 3 eggs in 3 days.
(1) How many hens would lay 12 eggs in 12 days?
(2) How many hens would lay 3 eggs in 9 days?
Answer:
1 hen lays 1 egg in 3 days
Basically, in 3 days 1 hen lays 1 egg
1 hen lays 4 eggs in 12 days
Therefore, 3 hens lay 12 eggs in 12 days ******************
1 hen lays 3 eggs in 9 days ******************
Step-by-step explanation:
Find the value of the variable p and YZ if Y is between X and Z, XY=3p, YZ=2p-1, and XZ=6p-6
Using the segment addition postulate, the value of p = 5, and YZ = 9 units.
How to Apply the Segment Addition Postulate?Since point Y lies between points X and Z, the three points are collinear, therefore, based on the segment addition postulate, XY + YZ = XZ.
Given the following:
XY = 3p
YZ = 2p - 1
XZ = 6p - 6
Substitute
3p + 2p - 1 = 6p - 6
Add like terms
5p - 1 = 6p - 6
5p - 6p = 1 - 6
-p = -5
p = 5
YZ = 2p - 1
Plug in the value of x
YZ = 2(5) - 1
YZ = 9 units.
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Helpp!!! Will give brainliest!!
Answer:
12/37
Step-by-step explanation:Cos D = 12/37
Protozoa are single-celled organisms.
Paramecium aurelia is one type of protozoan. The
number of Paramecium aurelia protozoa doubles
every 1.25 days. There was one protozoan on a slide
5 days ago. How many protozoa are on the slide now?
The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.
What is a series?A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Number of protozoa 5 days ago = 1
Since protozoa double every 1.25 days.
Number of times protozoa doubles in 5 days ⇒
5 / 1.25 = 4 times.
So,
1 →2 → 4 → 8 → 16
Hence "The number of protozoa on the slide now is 16".
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Is the following a function? (2,5),(-9,5), (1,8), (3,2), (-2,1)?
A.yes
B.no
Answer:
Yes
Step-by-step explanation:
X= (-4/5) ÷ (1/2)
x=
simplest form
Answer:
the answer is that X= -8/5
Step-by-step explanation:
(50points) Easy algebra 1. PLEASE HELP ME ASAP !!!
ASAP PLS HELP ME WITH THIS PLZZZ
Answer:
84
Step-by-step explanation:
6•11 for rectangle and 1/2 6•6 for triangle add and you get 66+18=84
Answer:
84
Step-by-step explanation:
find the area of the triangle first
= 1/2 * 6 * 6
=18 in^2
rectangle
= L * W
= 6*11
= 66 in^2
therefore, 66+18
=84
PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:
Juan sent 34 text messages.
First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.