3. Antoinette is building a rectangular pen with 78 feet of fencing. If the length of the pen is 5
feet longer than its width, what are the dimensions of the pen?
Width
Length
NUMBER 3
Answer:
length = 22
Width = 17
Step-by-step explanation:
78 = 2(w+5) + 2(w)
78 = 2w + 10 + 2w
78 = 4w + 10
68 = 4w
w = 17
l = 17 + 5 = 22
Will give brailiest to first
Answer:
A)
[tex]f(x)=x^(2)-2x+3[/tex]
Step-by-step explanation:
Answer:
option a
pls give brainliest
Step-by-step explanation:
HELPPP WHICH KNE DO I PICKK LEASE I NEED TO FO THIS JOW
Answer:
first and third option are correct.
Step-by-step explanation:
6(x+3)
=6*x + 6*3
=6x + 18
if m=17 and b=6,find m
Answer:
M) = 17
Step-by-step explanation:
You stated the answer right there. I think the question is missing more info but for now M=17
PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.
Answer: x=2
Step-by-step explanation:
-6=-9x+12
Subtract 12
-18=-9x
Divide by -9
X=2
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
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Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
Is 4 a factor of x^3-6x^2+8x-12 ? Explain how you arrived at your answer. plz help<3
Answer:
No
Step-by-step explanation:
The coefficents of x³ and x² are 1 and -6 respectively
neither has a factor of 4
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
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Answer:
f(5) = 160
Step-by-step explanation:
The first several terms of the sequence are ...
10, -20, 40, -80, 160, -320, 640, ...
Each term is -2 times the previous term.
f(5) = 160
The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
Based on the graph, between which two values of x is a zero of g located?
Answer:
Between 4 and 5
Step-by-step explanation:
Given
See attachment for graph
Required
Between which points is g(x) = 0
From the attachment, we can see that the graph crosses the x-axis at 4... and -1...
This means that
g(x) = 0 between 4 and 5
g(x) = 0 between -1 and -2
Going by the available options,
g(x) = 0 between 4 and 5
need help asap! will give the first right answer brainliest!
Answer:
Step-by-step explanation:
12
Answer:
b think if I'm wrong let me know
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
Find the circumference of this circle
using 3 for 7.
C ~ [?]
2.
C = 27r
Answer:
[tex] \displaystyle C = 12[/tex]
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=2 thus substitute:
[tex] \displaystyle C = 2\pi .2[/tex]
simplify mutilation:
[tex] \displaystyle C = 4\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 4.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 12[/tex]
and we are done!
Answer:
C = 12.
Step-by-step explanation:
Given :-
Radius of circle , r = 2.Value of pi, π = 3To find :-
Circumference of circleFormula for finding circumference of circle;
Circumference of circle = 2 × π × radius.
Solution :-
Circumference of circle = 2 × π × radius.
Substitute the value of radius into the formula.Circumference of circle = 2 × π × 2
Multiply ; 2 × 2Circumference of circle = 4 π.
plug 3 as π.Circumference of circle = 4 × 3
Multiply to getCircumference of circle = 12
A rectangle has a perimeter of 102 ft and a length of 40 ft. Find the width of the rectangle.
1.26×10⁹ as a Ordinary Number
Answer:
1,260,000,000
A cone is 37 inches long and has a diameter of 7 inches. What is the approximate volume of the cone?
Answer:
Below
Step-by-step explanation:
To find the volume of a cone, you can use the equation V=π r^2 (h/3)
Because the diameter is 7, the radius is 3.5 inch ( r=1/2 d)
V = π (3.5^2)(37/3)
= 474.64 in^3
I hope that is correct good luck!
Answer:
474.642
Step-by-step explanation:
To find out the volume of the cone is using V= 1/3 TTR^2 * H
We know TT is pie, pie is 3.19 and the radius of the cone is 3.5 inches because half of seven is 3.5.
V=1/3 3.14 * 3.5 * 3.5 * 37 = 474.642
Can someone help me?
Answer:
1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value
4-3+5 = 1+5 = 6
-6+8+4 = 2+4 = 6
6=6, so the sentence is correct
2+5 = 19-12 => 7=7, true
5-4-3-2-1 = 30-34-1 => -5=-5, true
2(x+5)-4x = 3(x-2)-5x+16
=> 2x+10-4x = 3x-6-5x+16
=> -2x+10 = -2x+10, true
Step-by-step explanation:
the other two sentences lead to false
4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false
2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false
: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (
Answer:
x = 6
m<1 = 20°
m<CFE = 140°
Step-by-step explanation:
m<1 = (3x + 2)°
m<2 = (5x - 10)°
✔️Given that FB bisects AFC, therefore,
m<1 = m<2
Substitute
3x + 2 = 5x - 10
Collect like terms and solve for x
3x - 5x = -2 - 10
-2x = -12
-2x/-2 = -12/-2
x = 6
✔️m<1 = 3x + 2
Plug in the value of x
m<1 = 3(6) + 2
m<1 = 18 + 2
m<1 = 20°
✔️m<CFE = 180° - m<AFC (angles on a straight line)
m<CFE = 180° - (m<1 + m<2)
m<CFE = 180° - (20 + 20)
m<CFE = 180° - 40°
m<CFE = 140°
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2
because the multiplication Slope of 2 perpendicular is -1
Plssss Help me, Im so confused, this will decide if i get into my dream school!!!! Plsss help me!
Answer:
-24
Step-by-step explanation:
First solve -4(-2)
which is +8
Next solve 8(-3)
which is equal to -24
Hope this helps
Good luck with your school
Answer:
i think it's -24
Step-by-step explanation:
I used photo math
8(2x + 3) in the simplest form
Answer:
16x+24
Step-by-step explanation:
8(2x)+8(3) [Distributive property]
16x+24
Answer:
16 x + 24
Step-by-step explanation:
8 ( 2 x + 3 )
use distributive property
8 × 2 x + 8 × 3
16 x + 24
Which of the following exponential functions represents the graph below
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Answer:
D
Step-by-step explanation:
The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.
g Workers employed in a large service industry have an average wage of $9.00 per hour with a standard deviation of $0.50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $8.85 per hour. Calculate the probability of obtaining a sample mean less than or equal to $8.85 per hour. (Round your answer to four decimal places.)
Answer: 0.3821
Step-by-step explanation:
Let x be the random variable that represents the wages.
Given: Workers have an average wage of $9.00 per hour with a standard deviation of $0.50.
The probability of obtaining a sample mean less than or equal to $8.85 per hour:
[tex]P(X<8.85)=P(\dfrac{X-mean}{standard\ deviation}<\dfrac{8.85-9.00}{0.50})\\\\=P(Z<-0.3)\\\\=1-P(0.3)\\\\=1-0.6179\\\\=0.3821[/tex]
The required probability = 0.3821
A coordinator will select 7 songs from a list of 13 songs to compose an event's musical entertainment lineup. How many different lineups are possible
Answer:
8,648,640 different lineups are possible.
Step-by-step explanation:
The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different lineups are possible?
7 musics from a set of 13. So
[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]
8,648,640 different lineups are possible.
What's the inverse of ƒ(x) = 3x3 – 4?
Answer:
Step-by-step explanation:
y = 3x³ -4
the inverse is found by changing x with y and y with x than solve for y
x = 3y³ -4
x+4 = 3y³-4+4; add 4 to both sides
x+4 = 3y³
(x+4)/3 =y³ ;divide both sides by 3
∛((x+4)/3) = y ;cube root both sides
the inverse function of f(x) =3x³-4 is
[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/tex]
4. If the ratio of 5 th term to 11th term of an A.P. is 5:2, then the value of
term is
15th
Answer: The value of 15th term is 0
Step-by-step explanation:
The nth-terms of an AP is written as [tex]a+(n-1)d[/tex]
where,
a = first term
n = number of term
d = common difference
5th tem will be = [tex]a+4d[/tex]
11th tem will be = [tex]a+10d[/tex]
15th tem will be = [tex]a+14d[/tex]
The given ratio between 5th and 11th term is 5 : 2
Taking the ratios:
[tex]\Rightarrow \frac{a+4d}{a+10d}=\frac{5}{2}\\\\\Rightarrow 2a+8d=5a+50d\\\\\Rightarrow 3a+42d=0\\\\\Rightarrow 3(a+14d)=0\\\\\Rightarrow a+14d=0[/tex]
Hence, the value of 15th term is 0
Please help! 35 points
Answer:
10.A
11.A
12.A
Step-by-step explanation:
thank me later
Anyone knows the answer ??
Answer:
Hello! answer: 17
Step-by-step explanation:
15 × 15 = 225
8 × 8 = 64
225 + 64 = 289
√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!
Answer:
17
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 15^{2} = c^{2}[/tex]
289 = [tex]c^{2}[/tex]
square root both sides
c = 17