A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month
10y 5 +30y 3 −15y
Factor out the gcf then simplify the polynomial
10y⁵ + 30y³ - 15y =
5y * 2y⁴ + 5y * 6y² + 5y * (-3) =
5y (2y⁴ + 6y² - 3)
Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
with one solution
Answer:
y = x
Step-by-step explanation:
Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.
Perhaps one of the simplest is ...
y = x
_____
Together with the given equation, this has the solution ...
x = y = 1/15
What is the area and perimeter? Show your work
Answer:
area = 6
perimeter = 12
Step-by-step explanation:
area:
1.8+3.2 = 5
5*2.4 = 12
12/2 = 6
perimeter:
3+4+1.8+3.2 = 12
What happened to rectangle A to become rectangle B in the diagram below?
dilated and then translated
dilated and then rotated 270°
dilated and then reflected
dilated and then rotated 90°
Answer: Dilated and then translated
Step-by-step explanation:
Answer:
dilated and then translated
Step-by-step explanation:
Rectangle A has been enlarged (dilated) and then translated up and to the right.
6. Complete a glide translation (x-2, y) and then reflect over x axis. What would be the new ordered pairs for P'and S'?
The glide translation and the reflection over x-axis are illustrations of transformation
The new ordered pairs for P'and S'are (x - 2, -y)
How to determine the new ordered pairs?The given parameters are:
Glide translation (x-2, y)
Reflection over x axis
Assume the coordinates of point P and S are (x,y)
When translated, the new points would be:
(x-2, y)
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](x - 2,y) \to (x - 2,-y)[/tex]
Hence, the new ordered pairs for P'and S'are (x - 2, -y)
Read more about transformation at:
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The ratio of the measures of the sides of a triangle is 2:11:15. If the perimeter of the triangle is 168 inches, find the length of the longest side.
Answer: 90
Step-by-step explanation:
Let the sides have lengths 2n, 11n, and 15n.
Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.
So, the longest side is 15(6)=90 inches.
If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
? need in a day or 2 please! Is worth 23 points and brainiest!
Answer:
60 feet
Step-by-step explanation:
The easiest way to do this is to go answer by answer with the triangle area formula :)
Formula: A=hb/2
H = height
B: base
Now lets solve this :)
Choice 1: 50 feet
50 x 20 = 1000
1000/2 = 500
Choice 2: 40 feet
Since 40 feet is smaller than the 50, we know this will not be correct :)
Choice 3: 120 feet
120 x 20 = 2400
2400/2 = 1200
Choice 4: 60 feet
60 x 20 = 1200
1200/2 = 600
The correct answer is 4, 60 feet :)
Have an amazing day!!
Please rate and mark brainliest!!
Factor the expression 20x + 12y - 28
Answer:
[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]
Step-by-step explanation:
It is necessary to find the factors and solve them using their expressions in order to solve this problem.
20x+12y-287*4=28
3*4=12
5*4=20
Rewrite the problem down.
5*4x+3*4y+7*4
Solve.
Common term of 4.
4(5x+3y-7)
Therefore, the final answer is 4(5x+3y-7).I hope this helps you! Let me know if my answer is wrong or not.
[tex]========================================[/tex]
In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)
In this case, the common term is
4
Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)
So here, the G.C.F. is 4.
Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.
So divide all the terms
5x
3y
-7
Put 4 outside the parentheses:
4(5x+3y-7)
Is the trinomial in its simplest form? Sure!
Hence, we are done! :)
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)
The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?
Answer:
Length of rectangle is 32 feet and width is 10 feetStep-by-step explanation:
Given,
The length of a rectangle is 12 feet more than twice the width and area is 320 square feetLet's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:
[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]
[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]
Hence,
Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet[tex]~[/tex]
[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]
Pls help I’ll give you 25 points
Answer:
For the 1st row:
6.38 - 6 19/50 - 638%
Step-by-step explanation:
I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.
ex. 125% -> 1.25
I hope this helps! Have a blessed rest of your night!
please show your work and no links
and please do the one that are blank
Answer:
its blury
Step-by-step explanation:
Help me on this question please!
Answer:
1/5
Step-by-step explanation:
Arrange the numbers from smallest to largest...the median is the one in the middle of the list
-12/4 - 2.5 1/5 18/5 10 the middle is 1/5
this polygon has an area of 72 square centimeters what is the height of the parallelogram
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?
Answer:
The answer would be B. c ÷ 158.14
Step-by-step explanation:
i just took this test :) the question was:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?
A. c × 158.14
B. c ÷ 158.14
C. c - 158.14
D. c + 158.14
What are the prime numbers between 2010 and 2020
Answer: 99%
Step-by-step explanation:
The numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.
Answer:
Mode=8
This is because it occurs the most
Median
=8+8/2
=16/2
=8
Therefore, the median is 8
Mean= £x/n
=6+7+7+8+8+8+8+8/8
=60/8
=15/2
=7.5
Step-by-step explanation:
Please mark me brainliest if correct
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.
Arrange the data in increasing order, then we have
6, 7, 7, 8, 8, 8, 8, 8
The mean of the data is given as,
Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8
Mean = 60 / 8
Mean = 7.5
The median of the data is given as,
Median = {[8 / 2 + (8 + 2)/ 2] / 2}
Median = (4th + 5th) / 2
Median = (8 + 8) / 2
Median = 16 / 2
Median = 8
The mode of the data is given as,
Mode = Frequency of the number
Mode = 8
The range of the data set is given as,
Range = 8 - 6
Range = 2
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
More about the statistics link is given below.
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Can some please explain and solve how to do these unit rate equations?
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLS
Answer:
Step-by-step explanation:
Remark
You are given the diameter but the formula uses the radius. So your first job is find the radius. Then you use this value in the formula to find the volume. Substitute
Givens
pi = 3.14
d = 3.8
r = d/2
r = 3.8/2 = 1.9
Formula
V = (4/3) * pi * r^3
Solution
V = (4/3) * 3.14 * 1.9^3
V = 4/3 * 3.14 * 6.859
V = 28.7163
Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees
Answer:
40 degrees
Step-by-step explanation:
(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).
-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:
-1400 degrees+(360 degrees*4)
=-1400 degrees+1440
=40 degrees
so the answer is 40 degrees
Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.
A) 2x+ 3y =11
x+ y = 4
B) 4x + 3y =-12
2x - y = 4
Answer:
A) x = 4, y = 3.
B. x = 0, y = -4.
Step-by-step explanation:
A) 2x+ 3y =11 .........(a)
x+ y = 4.......(b)
Multiply equation (b) by 2:
2x + 2y = 8
Subtract this from equation (a):
y = 11-8 = 3.
Substitute y = 3 into equation (a):
2x + 3*1 = 11
2x = 11 - 3 = 8
x = 4.
B) 4x+ 3y = -12
2x - y= 4
Multiply second equation by 2:
4x - 2y = 8
Subtract this from first equation:
3y - (-2y) = -12 - 8
5y = -20.
y = -4.
Substitute y = -4 into equation 1:
4x + 3*(-4) = -12
4x = -12 + 12 = 0
x = 0.
is 69 less then a right angle
Answer:
yes it is less then a right angle
Step-by-step explanation:
On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?
Answer:
34.38 (rounding to the nearest hundredth)
Step-by-step explanation:
I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!
On a circle of radius 10 feet, 34.37° angle would subtend an arc of length 6 feet.
How to find the length of an arc?The length of an arc formula is represented as follows
The length of arc = Ф / 360 × 2πr
where
Ф = angle, r = radius
It is given that circle of a radius of 10 feet,
The length of arc = 6 ft
Therefore,
6 = Ф / 360 × 2 × 3.14159 × 10
6 = 62.8318Ф / 360
360 x 6 = 62.8318Ф
Ф = 360 x 6 / 62.8318
Ф = 34.3784
Ф ≈ 34.37°
Learn more about the length of the arc ;
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Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?
Hey there!
Let's make an equation
=> 9h = 144
{ Make h the subject of formula}
=> 9h = 144
=> 9h/9 = 144/9
=> h = 144/9
=> h = 16
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answer:
f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.Explanation:
f(x) has a function of x³g(x) has a function of [tex]\sf 3^X[/tex]False statements:
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.Answer:
By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex]. Therefore, [tex]f(x)=x^3[/tex]
By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]
From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).
As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.
So the following statements are true:
f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.Please refer to the attached graph of both functions with plotted ordered pairs.
What’s the answer to the blank
Answer:
13.93
Step-by-step explanation:
find the mean
11.60 + 16.25 ÷ 2 = 13.93
please ifs due today!!
Question 1 of 5
What is the spread of the data?
..
. .
14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
Age of female U.S. Olympic swimmers (years)
A. 15 to 32 years
B. 14 to 33 years
O C. 24 to 32 years
D. 15 to 24 years
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$
Answer:
$1493.49
Step-by-step explanation:
The original cost was doubled initially.
$995.66 x 2 = 1991.32
1991.32 x 0.75 (25% discount) = $1493.49