Given parameters:
Dimension of the flowerbed = 4ft by 7ft
Unknown:
Number of feet to build the flowerbed = ?
Since the flowerbed will be surrounding the flows, we should simply find the perimeter of the bed.
This is a rectangular area;
Perimeter = 2(L + B)
Input the parameters and solve;
Perimeter = 2 (4 + 7)
Perimeter = 2 x 11 = 22cm
The perimeter of the board is 22cm
Solve the following equation - 2(x-8)=18-3(5x+6)
Answer:
-2(x-8)=18-3(5x+6)
-2x+16=18-15x-18
-2x+15x=18-18+16
13x=16
X=16/13
Answer:
[tex]x=-\frac{16}{13}[/tex]
Step-by-step explanation:
[tex]-2(x-8)=18-3(5x+6)[/tex]
Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:
[tex]-2x+16=18-15x-18[/tex]
Combine like terms:
[tex]-2x+16=-15x[/tex]
Subtract [tex]16[/tex] from both sides of the equation:
[tex]-2x=-15x-16[/tex]
Add [tex]15x[/tex] to both sides of the equation:
[tex]-13x=16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:
[tex]x=-\frac{16}{13}[/tex]
Find the asymptotes of the rational function 2x+2 / x^2+1
Show work please. Thank you!
Step-by-step explanation:
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Asymptotes f(x)=(2x^2)/(x^2-1)
f
(
x
)
=
2
x
2
x
2
−
1
Find where the expression
2
x
2
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
The vertical asymptotes occur at areas of infinite discontinuity.
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
2
m
=
2
Since
n
=
m
, the horizontal asymptote is the line
y
=
a
b
where
a
=
2
and
b
=
1
.
y
=
2
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
2
No Oblique Asymptotes
If the measure of ZFGH is 64º and the measure of ZEGD is (4x+8)°, what is the value of x ?
Answer:
x = 14Step-by-step explanation:
∠EGD = ∠FGH
(4x+8)° = 64°
4x = 64 - 8
x = 56 / 4
x = 14
What is 0.0052% of 40000?
Rounded to the nearest hundredth.
Answer:
2.08
I just multiplied 0.0052% by 40000 on my calculator
how do you convert 12 over 100 to a percentage
Answer:
12%
Step-by-step explanation:
A percent is any fraction with 100 as a denominator. So [tex]\frac{12}{100}[/tex] is the same as 12% and 4 over 100 is the same as 4%
Here's an easy was to remember, there are 100 pennies to make a dollar that like per-CENT it's out of 100.
Hope that helps and have a great day!
Answer:
12%
Step-by-step explanation:
your question isn't giving me an option to answer but do 12 divided by 100 and you get a decimal, then multiply it by 100 which will give you the percentage. In this case is would be 12%
I hope this helps:)
What does -3/8 > −1 indicate about the positions of -3/8 and −1 on the number line?
-3/8 is located on the right of 0, and −1 is located on the left of 0
-3/8 is located on the left of 0, and −1 is located on the right of 0
-3/8 is located on the left of −1
-3/8 is located to the right of −1
Answer:
D
Step-by-step explanation:
because -3/8 is also a neg- so both answers would be on the left of (0) but -3/8 would be closer to (0) than 1 so that means it would be on the right of 1
Help please, if you know how to do it. Posting separate questions so you get more points,l thanks
9514 1404 393
Answer:
y = x^2 +x +1; (-1/2, 3/4)y = 3x^2 -15x +12; (-2, 54), (5, 12)y = -1/2x^2 +2x +5; (0, 5)Step-by-step explanation:
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
__
2. The zeros appear to be at x=1 and x=4, so the factored form of the equation is ...
y = a(x -1)(x -4)
At x = 0, this is ...
12 = a(-1)(-4)
3 = a
So, the equation is ...
y = 3x^2 -15x +12
The values at the two points of interest are ...
y = 3(-2-1)(-2-4) = 54 . . . . point (-2, 54)
y = 3(5 -1)(5 -4) = 12 . . . . point (5, 12)
__
3. Using the vertex shown, the vertex form of the equation is ...
y = a(x -2)^2 +7
Filling in the point (-2, -1), we can find the value of a:
-1 = a(-2-2)^2 +7
-8 = 16a
a = -8/16 = -1/2
So, the equation is ...
y = -1/2x^2 +2x +5
For x=0, the y-value is 5. The y-intercept is (0, 5).
Answer:
9514 1404 393
y = x^2 +x +1; (-1/2, 3/4)
y = 3x^2 -15x +12; (-2, 54), (5, 12)
y = -1/2x^2 +2x +5; (0, 5)
1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...
y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)
y = x^2 +x +1
Solve for x.
3/x+9=7/x+4
Answer:
x = 4/5
Step-by-step explanation:
Subtract 3/x+4, then multiply by x/5:
[tex]\dfrac{3}{x}+9=\dfrac{7}{x}+4\\\\5=\dfrac{4}{x}\\\\\boxed{x=\dfrac{4}{5}}[/tex]
_____
If you meant 3/(x+9) = 7/(x+4), you need to write it with parentheses around the denominator. (In that case, x=-12.75.)
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
28cm
Step-by-step explanation:
ive done this question before
Answer:
28 cm
Step-by-step explanation:
This is the answer because:
Perimeter = L + W + L + W
Area = L x W
1) Since the shape is a square, there has to be two of the same factors that multiply.
_ x _ = 49
2) We know 7 x 7 = 49, therefore, w just have to add 7 + 7 + 7 + 7 which equals 28 cm
Therefore, the answer is 28 cm
Hope this helps! :D
Adult tickets for the movies are $11.50 each and child tickets are $8.75 each. How much would a family with 3 adults and 5 children pay for their tickets? (Multi-Step)
Answer:
$78.25
Step-by-step explanation:
Each adult = $11.50
Each child = $8.75
3 adults and 5 children
(11.50 x 3) + (8.75 x 5)
34.5 + 43.75 = $78.25
11.50 x 3 = 34.50
8.75 x 5 = 43.75
34.50 + 43.75 = 78.23
$78.23
Match the words with their definitions.
1. Reasoning from a sample to a population.
2. Successive observations of a system or phenomenon do not produce exactly the same result.
3. An observation that differs considerably from the main body of the data.
4. The entire collection of objects or outcomes about which data are collected.
5. A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes.
A. Population
B. Sample
C. Statistical Inference
D. Variability
E. Outlier
Answer:
1. Statistical Inference
2. Variability.
3. Outlier.
4. Population.
5. Sample.
Step-by-step explanation:
1. Statistical Inference: Reasoning from a sample to a population. For example, the average common entrance score of all examinees (population l) in New York city or a business that collects data from a random sample of 100 consumers and recorded whether they are male or female.
2. Variability: Successive observations of a system or phenomenon do not produce exactly the same result. For instance, the distribution having the same value of mean can have varying variability.
3. Outlier: An observation that differs considerably from the main body of the data. For example, in the following scores 1, 2, 3, 4, 50, 5, 60; both 50 & 60 is an outlier.
4. Population: The entire collection of objects or outcomes about which data are collected. For example, the number of new born babies in a hospital, the total number of football players in a soccer league.
5. Sample: A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes. For example, the average height of girls in a class having a population of 10 boys and 20 girls.
A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more then jumps down 13 ft. How far off the ground is the monkey now?
-3.7z = 11.6
What is z
Answer:
-116/37
Step-by-step explanation:
Answer:
z = -3.1
Step-by-step explanation:
just divide both sides by -3.7, you get z = -3.135
What is the solution to
3x + 7 = x + 13 ?
Answer:
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, move +7 to the other side of equation on the answer side and change it to it's absolute (in this case I mean negative) value:
3x + x = 13 - 7
Next, Simplify the equation:
4x = 6
Finally, Celebrate! You just (hopefully) learned how to solve this!
x = 1.5
or
x = [tex]\frac{1}{2}[/tex]
Pls Brainliest! It would mean and help a lot! ; )
The angle whose measure is StartFraction 3 pi Over 4 EndFraction terminates in quadrant II and its reference angle is for StartFraction pi Over 4 EndFraction. What are the reciprocal trigonometric function values for StartFraction 3 pi Over 4 EndFraction? Check all that apply.
Secant (StartFraction 3 pi Over 4 EndFraction) = negative one-half
Secant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cosecant (StartFraction 3 pi Over 4 EndFraction) = negative StartRoot 2 EndRoot
Cotangent (StartFraction 3 pi Over 4 EndFraction) = negative 1
Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartRoot 2 EndRoot
Answer:
Step-by-step explanation:
Answer:
B, D, and E
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answer:
The answer would be y=-1/3x+1.
Step-by-step explanation:
To find the slope, you must use the formula y2-y1/x2-x1. That would make it 1-2/0-(-3) which the slope is -1/3. Now, using the formula y-y1=m(x-x1) which would be y-2=-1/3(x-(-3) if you plug it in. Solving the equation, you would get y=-1/3x+1.
Which is equivalent to this expression?
54x2y
·
6x
What is the quotient if the dividend is 2286 and the divisor is 6
Answer:
381
Step-by-step explanation:
2,286/6=381
Good luck!
Sharon’s turtle
It’s from her backyard sometime in the last few hours according to her calculations the farthest the turtle could’ve gone is four blocks down the road and other direction you’re showing lives on the 112th block of time which equation can be used to find the black numbers that represent the farthest distance the turtle maybe
Answer:
Step-by-step explanation:
4
Answer:
|x-112|=4
So it’s B.
At an average rate of 38 miles an hour, how far can you travel in 4 hours?
a.
156 mi
b.
195 mi
c.
190 mi
d.
152 mi
How many possible solutions are ther to a linear equation in one variable
Answer:
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Answer:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
Step-by-step explanation:
Place Value
Write down the value of the 9 in the number 79 813
Answer:
thousandths
hope this helpsss
The gross domestic product is?
the sum of the first 10 terms of an AP is four times the sum of the first 5 terms then the ratio of the first term to the common difference is
Answer:
The ratio of the first term to the common difference is 1 : 2
Step-by-step explanation:
The rule of the sum of the AP is
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex] , where
a is the first number
d is the common difference
n is the position of the number
∵ [tex]S_{10}[/tex] = 4 × [tex]S_{5}[/tex] ⇒ (1)
→ Find [tex]S_{10}[/tex] and [tex]S_{5}[/tex]
∵ In [tex]S_{10}[/tex] n = 10
∴ [tex]S_{10}=\frac{10}{2}[2a+(10-1)d][/tex]
∴ [tex]S_{10}=5[2a+9d][/tex]
∴ [tex]S_{10}[/tex] = 10a + 45d ⇒ (2)
∵ In [tex]S_{5}[/tex] n = 5
∴ [tex]S_{5}=\frac{5}{2}[2a+(5-1)d][/tex]
∴ [tex]S_{5}=2.5[2a+4d][/tex]
∴ [tex]S_{5}[/tex] = 5a + 10d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 10a + 45d = 4[5a + 10d]
∴ 10a +45d = 20a + 40d
→ Subtract 40d from both sides
∴ 10a + 45d - 40d = 20a + 40d - 40d
∴ 10a + 5d = 20a
→ Subtract 10a from both sides
∴ 10a - 10a + 5d = 20a - 10a
∴ 5d = 10a
→ Divide both sides by 5
∴ d = 2a
→ That means d is twice a or a is half d
∴ a : d = 1 : 2
The ratio of the first term to the common difference is 1 : 2
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answer:
(3)(6)
Step-by-step explanation:
I did the quiz
George could have used the expression (0.30)(60) to determine 30% of 60.
How to determine . Which expression could George have usedGeorge could have used the expression (0.10)(6)(0.10)(60) to determine 30% of 60.
(0.10) represents 10% or 0.10 as a decimal. Since 30% is three times 10%, George can use three instances of (0.10) to represent 30%.
(6) represents the value 6, which is the number being multiplied by the percentage.
(0.10)(60) represents 10% of 60, which is 6.
Multiplying (0.10)(6)(0.10)(60) gives us the result of 6, which is 30% of 60.
Therefore, George could have used the expression (0.10)(6)(0.10)(60) to calculate 30% of 60.
Learn more about expression at https://brainly.com/question/1859113
#SPJ2
A wave travels 1/3 mile in 1/20 hour. At this rate, how far will the wave travel in 1 hour?
A wave will travel 6.7 mile in 1 hour.
Given that,
A wave travels 1/3 mile in 1/20 hour.
How to calculate the distance in given time?
To calculate the value of distance at time is given as,
Distance = Speed X Time
To given condition wave travels 1/3 mile in 1/20 hour,
We calculate,
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{20}[/tex]
Divide a fraction by multiplying its reciprocal,
⇒ [tex]\frac{20}{3}[/tex]
⇒ [tex]6.66667[/tex]
⇒[tex]6.7[/tex] mile
So a wave will travel 6.7 mile in 1 hour.
Learn more about the distance at a given time visit:
https://brainly.in/question/38241305
#SPJ2
8. Three groups of 10 kids. The average weight of a kid in each
group is 35 kilograms. One more kid joined each group.
i) The average weight of a kid in the first group is still 35
kilograms.
The average weight of a kid in the second group is now
36 kilograms.
iii) The average weight of a kid in the third group is now
34 kilograms.
Compute the weight of the new kid in each group.
25
Answer: 385
Step-by-step explanation:
Mean the three groups of 10 kids=35
Total weight of 3 groups (10x35)=350
Mean weight of 3 groups and one boy ( 35 + 350)=385
What is the area of the shaded part in the figure shown here?Immersive Reader
(1 Point)
200 sq.cm
150 sq.cm
125 sq.cm
100 sq.cm
PLEASE HELP FAST!
Answer:
The area of the shaded part is 100 [tex]cm^2[/tex]
Step-by-step explanation:
Subtracting Areas:
We can find the shaded area by adding or subtracting areas.
We'll use the latter method.
The total shape is a rectangle of side lengths 15 cm and 10 cm. Thus its area is:
[tex]A_t=15\ cm\cdot 10\ cm=150\ cm^2[/tex]
The area of each non-shaded square is:
[tex]A_s=(5\ cm)^2=25\ cm^2[/tex]
The total non-shaded area is
[tex]2*A_s=50\ cm^2[/tex]
Thus, the shaded area is:[tex]A_{shaded}=A_t-2*A_s=150 - 50 = 100[/tex]
The area of the shaded part is 100 [tex]cm^2[/tex]
A sales person earns a commission of 435 for selling $2900 in merchandise what is the commission rate
Answer:
15%
Step-by-step explanation:
I'm just built like that
What is the lowest common multiple of 28 and 72
Answer:
504
Step-by-step explanation:
28, 72 | 2
14, 36 | 2
7, 18 | 2
7, 9 | 3
7, 3 | 3
7, 1 | 7
1, 1 | 1
MMC = 2 . 2 . 2 . 3 . 3 . 7 = 504