tracy needs 31.5 meters of wood for a porch railing. She has three pieces of Wood that are each 8 meters long and one piece that is 7 meters long. Does Tracy have enough wood for the porch railing?
The decimal computed shows that Tracy doesn't have enough for the construction.
How to calculate the length?From the information given, Tracy has three pieces of wood that are each 8 meters long and one piece that is 7 meters long. Therefore, the addition of the lengths will be:
= (3 × 8) + 7
= 24 + 7.
= 31m
Since Tracy needs 31.5 meters of wood for a porch railing, it shows that she doesn't have enough.
Learn more about decimal on:
https://brainly.com/question/1015576
Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot. Explain
1. 5/8 rounds to 1, and 4/9 rounds to 1. The area is about 1 sq ft.
2. 5/8 rounds to 2/3, and 4/9 rounds to 2/3. The area is about 4/9 sq ft.
3. 5/8 rounds to 1/2, and 4/9 rounds to 1/2. The area is about 1/4 sq ft.
4. 5/8 rounds to 0, and 4/9 rounds to 0. The area is about 0 sq ft.
Pick one
Solution:
Step-1: Find the area of the rectangle.
Area of rectangle = L × BL = 5/8 foot; B = 4/9 foot
=> Area of rectangle = 5/8 × 4/9=> Area of rectangle = 20/72 = 10/36 foot²Step-2: Verify all the options.
Option A => 1 ft² => 36/36 ft² Option B => 4/9 ft² => 16/36 ft² Option C => 1/4 ft² => 9/36 ft²Option D => 0 ft² => 0/36 ft²Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.
Thus, Option C is correct.
Answer this pls….. it’s math
Answer:
First choice.
Step-by-step explanation:
Th first option.
(x + 1)^2 - 25
The minimum value is -25 because the minimum value of the squared term is 0. A squared term cannot be negative,
>
Question 15
4 pts
• If you purchased 40 shares of a Vanguard mutual fund at $105 a share two years
ago and the Vanguard mutual fund is currently at $200 a share. Please answer
the four questions below that relate to this investment scenario-
1. What was the total cost of purchasing the 40 shares two years ago?
2. What are the 40 shares of the Vanguard mutual fund currently at?
3. If you sold the 40 shares of the Vanguard mutual fund today - what would
be your profit or loss?
4. What would be your rate of return for selling the 40 shares today?
Answer:
1. $4200
2. $8000
3. Profit $3800
4. 90.48% (2 d.p.)
Step-by-step explanation:
40 x 105 = 4200
40 x 200 = 8000
8000 - 4200 = 3800
Rate of Return = (Final Value - Initial Value) divided by Initial Value
(8000-4200) divided by 4200 = 19/21 or 0.9047619048
= 90.48%
Answer:
1. $4,200
2. $8,000
3. $3,800 profit
4. 90.48%
Step-by-step explanation:
QUESTION 1:
The cost of one share two years ago was $105. Since you bought 40 shares, you would have to multiply that price by 40:
[tex]$105*40=4,200[/tex]
That means the total cost of purchasing 40 shares two years ago was $4,200.
QUESTION 2:
One share currently costs $200. Just like with problem 1, since they're asking about all 40 shares, you need to multiply that price by 40.
[tex]200*40=8,000[/tex]
That means that 40 shares is currently valued at $8,000.
QUESTION 3:
Profit or loss is calculated by subtracting the final value by the initial value. In this case, subtracting the current price by the price you originally bought the shares for.
[tex]8,000-4,200=3,800[/tex]
Because it's a positive number, you know that you've made a profit of $3,800 off of 40 shares.
QUESTION 4:
Rate of return is calculated by dividing the profit (or loss) by the original cost:
[tex]3,800/4,200=0.9048[/tex]
Of course, since rate of return is expressed in a percentage, you would need to multiply 0.9048 by 100 and tack a percent sign onto the end, giving you 90.48%. (I rounded the number to the nearest hundredth.)
someone pls help me on my math
Answer:
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
Step-by-step explanation:
SA = 2lw + 2lh + 2wh
We know the length is 5 and the height is 8 and the width is 4
SA = 2 (5) ( 4) + 2( 5)(8) + 2( 4)(8)
ASAP!!
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 1/2 inch represents 1 foot to paint the mural.
How tall will the actual mural be?
How wide will the actual mural be?
Answer:
ok so scale means that for every 1/2 each is one foot so each inch 2 feet
so lets just multiply each one by 2 and say their feet
5*2=10 feet
11*2=22 feet
22 feet tall
10 feet wide
Hope This Helps!!!
One travels due south at an average speed of 58 miles per hour, and the other travels due north at an average speed of 49 miles per hour. After how many hours will the two trucks be 802.5 miles apart?
Answer:
424
Step-by-step explanation:
Use what you know about triangles to classify this triangle.
Answer:
Equiangular triangle
Step-by-step explanation:
"equiangular triangle" means a triangle that has equal sides
knowing that the sum of the angles of a triangle is 180° each angle must be 60° because [tex]\frac{180}{3}=60[/tex]
Which of the following pairs of numbers has 16 as their greatest common factor?
A.32,48
B.32,62
C.48,36
D.42,16
Name the relationship between ∠a and ∠b.
Answer:
D. complementary
Step-by-step explanation:
The two angles a and b add up to 90 degrees, so they are complementary.
Hopefully this helps - let me know if you have any questions!
Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Answer:
$4.85Step-by-step explanation:
John spent and gave to his two friends a total of
1.25 + 1.20 + 1.20 = $3.65
Money left
8.50 - 3.65 = $4.85
-------------------------------------------------------------------------------------------------------------
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
$4.85
Step-by-step explanation:
Given;
Little John had $8.50
Spent $1.25 on sweets
Gave 2 friends $1.20
Step 1; [Solve Spend on Sweets]
$8.50 - $1.25=7.25
Step 2; Find amount given to his 2 friend]
[Gave $1.20 to each of his 2 friends]
$1.20 x 2 = 2.40
7.25 - 2.40=4.85
Hence, Little John have $4.85 is left
[RevyBreeze]
How many 10 rupees can be exchanged for ₹ 100?
Answer:
10 - 10 rupees note
Step-by-step explanation:
have a good day .please mark as brainiest
Help me please its urgent I need it done asap I need help if anyone could help me solve these problems that would be very helpful! (I'll give brainliest if you can solve all of them!)Find two numbers whose difference is eight, such that the larger number is sixteen less than three times the smaller number. (you must show the algebra for full credit)
Answer:
Large number: 20
Small number: 12
Step-by-step explanation:
Hello!
This problem is a word problem, and if we assign variables to find each of the numbers, it could help.
A variable is usually an unknown number that stands for that unknown.
Since in this problem we know there is a small and large number, let's assign the large number as the variable x and small number as variable y.
For the first part, it says two numbers whose difference is 8, which means the large number minus the smaller number equals 8.
x-y=8
For the second part is tricky. It's saying that the small number times three is 16 more than the large number itself. When constructing a equation, this is what we get:
x+16=3y x plus 16 equals 3 times y
To solve this equation together so we can make it super easy, let's do the method of substitution, which is where we make an equation equal to a variable and input that equation into the second equation.
We can use x-y=8 to input, we can rearrange y and plug it to the right side to get x=8+y
Since x equals 8+y, let's input this into the second equation.
(8+y)+16=3y input the rearranged equation into the second
24+y=3y combine like terms
-y -y
24=2y divide by two to get y by itself
12=y
We aren't done yet! We have to find x still; let's use the previous first equation to find x. We know y=12, so let's plug it in.
x-y=8 original formula
x-12=8 plug it in
+12 +12
x=20
Therefore, the large number is 20, and smaller number is 12.
Answer:
12 and 20
Step-by-step explanation:
small=x
big= (x+8)
(x+8) = 3x -16
24 = 2x
x=12 (small)
12+8 = 20(big)
[tex] \left \lgroup\displaystyle\rm \sum_{k=0}^{\infty}{1\over k!}\int_0^{\infty}{\cos(x)\over \displaystyle x^2+1}\text{d}x \over \displaystyle \rm \int_0^\infty{\sqrt{x}\over x^2+2x+5}dx \right \rgroup^{2} [/tex]
I use complex analysis to compute the integrals in question.
First, notice that the first integrand is even:
[tex]\dfrac{\cos(-x)}{(-x)^2+1}=\dfrac{\cos(x)}{x^2+1}[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\int_{-\infty}^\infty\frac{\cos(x)}{x^2+1}\,dx[/tex]
Consider a contour C that's the union of
• Γ, a semicircle of radius R in the upper half-plane, and
• the line segment connecting the points (-R, 0) and (R, 0)
On Γ, we have [tex]z=Re^{it}[/tex] with 0 ≤ t ≤ π.
Consider the complex function
[tex]f(z)=\dfrac{e^{iz}}{z^2+1}[/tex]
and notice that our original integrand is the real part of f(z). Then the integral of f(z) over C is
[tex]\displaystyle\int_Cf(z)\,dz=\lim_{R\to\infty}\left(\int_{-R}^Rf(z)\,dz+\int_\Gamma f(z)\,dz\right)[/tex]
As R → ∞, the first integral on the right is exactly twice the one we want. Estimate the second one to be bounded by
[tex]\displaystyle\left|\int_\Gamma f(z)\,dz\right|\le\pi R|f(z)|\le\frac{\pi R}{R^2-1}[/tex]
since
[tex]|z^2+1|\ge\bigg||z^2|-|-1|\bigg|=|R^2-1|[/tex]
and so the integral along Γ vanishes.
f(z) has only one pole in the interior of C at z = i. By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\,\mathrm{Res}\left(f(z),z=i\right)=2\pi i\lim_{z\to i}(z-i)f(z)=\frac\pi e[/tex]
[tex]\implies\displaystyle\int_0^\infty\frac{\cos(x)}{x^2+1}\,dx=\frac12\mathrm{Re}\left(\int_Cf(z)\,dz\right)=\frac\pi{2e}[/tex]
For the second integral, we recall that for complex z,
[tex]\sqrt z=\exp\left(\dfrac12\left(\ln|z|+i\arg(z)\right)\right)[/tex]
Consider a keyhole contour C, the union of
• [tex]\Gamma_R[/tex], the larger circle with radius R and [tex]z=Re^{it}[/tex], with 0 < t < 2π ;
• [tex]\Gamma_\varepsilon[/tex], the smaller circle with radius ε and [tex]z=\varepsilon e^{-it}[/tex], with 0 < t < 2π ;
• [tex]\ell_1[/tex], the line segment above the positive real axis joining [tex]\Gamma_\varepsilon[/tex] to [tex]\Gamma_R[/tex] ; and
• [tex]\ell_2[/tex], the other line segment below the positive real axis joining [tex]\Gamma_R[/tex] to [tex]\Gamma_\varepsilon[/tex]
Then
[tex]\displaystyle\int_Cf(z)\,dz=\int_{\Gamma_R}f(z)\,dz+\int_{\ell_1}f(z)\,dz+\int_{\Gamma_\varepsilon}f(z)\,dz+\int_{\ell_2}f(z)\,dz[/tex]
and in the limit, the integral over [tex]\ell_1[/tex] converges to the one we want.
Estimate the integrals over the circular arcs:
• [tex]\Gamma_R[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_R}f(z)\,dz\right|\le2\pi R|f(Re^{it})|\le\dfrac{2\pi R^{3/2}}{|R-\sqrt5|^2}\to0[/tex]
as R → ∞.
• [tex]\Gamma_\varepsilon[/tex] :
[tex]\displaystyle\left|\int_{\Gamma_\varepsilon}f(z)\,dz\right|\le2\pi \varepsilon|f(\varepsilon e^{-it})|\le\dfrac{2\pi\varepsilon^{3/2}}{|\varepsilon-\sqrt5|^2}\to0[/tex]
as ε → 0.
Consider the integral over [tex]\ell_2[/tex] :
[tex]\displaystyle\int_{\ell_2}f(z)\,dz=\int_R^\varepsilon\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_R^\varepsilon\frac{\exp\left(\dfrac12\left(\ln|z|+2\pi i\right)\right)}{z^2+2z+5}\,dz\\\\=-\int_R^\varepsilon\frac{\exp\left(\dfrac12\ln|z|\right)}{z^2+2z+5}\,dz\\\\=\int_\varepsilon^R\frac{\sqrt z}{z^2+2z+5}\,dz\\\\=\int_{\ell_1}f(z)\,dz[/tex]
so in fact,
[tex]\displaystyle\int_Cf(z)\,dz=2\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx[/tex]
By the residue theorem,
[tex]\displaystyle\int_Cf(z)\,dz=2\pi i\sum_{\rm poles}\mathrm{Res}\,f(z)[/tex]
We have poles at z = -1 + 2i and z = -1 - 2i. On our chosen branch,
[tex]\sqrt{-1+2i}=i\sqrt[4]{5}\exp\left(-\dfrac i2\tan^{-1}(2)\right)[/tex]
[tex]\sqrt{-1-2i}=i\sqrt[4]{5}\exp\left(\dfrac i2\tan^{-1}(2)\right)[/tex]
The residues are
[tex]\mathrm{Res}(f(z),z=-1-2i)=\dfrac{i\sqrt[4]{5}\exp\left(\frac i2\tan^{-1}(2)\right)}{-4i}[/tex]
[tex]\mathrm{Res}(f(z),z=-1+2i)=\dfrac{i\sqrt[4]{5}\exp\left(-\frac i2\tan^{-1}(2)\right)}{4i}[/tex]
Their sum is
[tex]\displaystyle\sum_{\rm poles}\mathrm{Res}\,f(z)=-\frac{\sqrt[4]{5}}2\sin\left(\dfrac12\tan^{-1}(2)\right)=-\frac{\sqrt[4]{5}}2\sqrt{\frac{5-\sqrt5}{10}}=-\frac i2\sqrt{\frac1\phi}[/tex]
where ɸ = (√5 + 1)/2 is the golden ratio, and so the overall integral is
[tex]\displaystyle\int_0^\infty\frac{\sqrt x}{x^2+2x+5}\,dx=\frac\pi2\sqrt{\frac1\phi}[/tex]
Lastly, recall
[tex]\displaystyle\sum_{k=0}^\infty\frac1{k!}=e[/tex]
Then our expression reduces to
[tex]\left(\dfrac{e\times\frac\pi{2e}}{\frac\pi2\sqrt{\frac1\phi}}\right)^2=\boxed{\phi}[/tex]
Maria left her house and walked 2 miles north. Then she turned
and walked 3 miles west. How far is Maria from her house?
Round your answer to the nearest tenth.
Answer:
3.6 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]2^{2}+3^{2} =\\4 + 9 = \sqrt{13}[/tex]
√13 = 3.60555127546
Nearest tenth = 3.6
Tori bought some patio bricks and paid
$232. If each brick costs $2, how many
patio bricks did Tori buy?
Answer:
116
Step-by-step explanation:
$232=$2
if each brick is $2 and you spent $232 divide it
232/2 would be 116 so to check your answer
116*$2(each brick) it would be 232
Answer:
116 bricks
Step-by-step explanation:
you divide 232 by 2
which will give you 116
and to make sure u got 232 you multiple 116 × 2=232
Use completing the square to solve for x in the equation (x-12)(x+4)= 9
A) x=-1 or 15
B) x= 1 or 7
C) x=4+-sqrt41
D) x=4 +- sqrt73
Answer:
Step-by-step explanation:
Its The last one just took a test
the product of two fourths and the sum of three halves and fourth
Answer:
it is D or C
Step-by-step explanation:
Given: 3x <-6.
Choose the solution set.
O {xlx>-2}
O {x|x<-2}
O {x|x> 2}
O {x|x< 2}
^
Answer:
x|x< -2
Step-by-step explanation:
3x < -6
divide each side by 3
x <-2
Which of the ordered pairs in the form (x,y)is a solution of this equation?
6x - 5y = 1
Question 1 options:
(-4,-5)
(5.-6)
(1,-1)
None are solutions
apply the distributive property 3(7x+1)
Answer:
[tex]\displaystyle 3 + 21x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3[7x + 1] \hookrightarrow \boxed{21x + 3}[/tex]
I am joyous to assist you at any time.
What’s the answer?
-6 x (-8)=____
Answer:
48 because when dividing, the negatives cancel out making it a positive. and the parentheses don't really matter.
Answer:
Multiply 8 by 6. It's 48.
The negatives cancel out when multiplying and dividing. However, it's different when adding or subtracting.
[tex]8*6=48[/tex]
Hope this helps!If it does, give thanks!The difference of four times n and eleven is equal to fifteen less than two times n.
.
.
.
Question content area right
Part 1
Choose the correct equation below.
Answer:
4n - 11 = (15 - 2)n
Step-by-step explanation:
Using the keywords;
'Difference of'
'Equal to'
'Less than'
'Times', we can find the equation.
Let's piece it together:
Difference of; 4n(four times n) and 11
Equal to( = )
(15 - 2)n, which is 15 less than 2, multiplied by n
How is 5x85/4-(7-4) =47
Answer:
(5*85)/4-(7-4)
425/4-(7-4)
425/4-3
106.25-3
103.25
It is not 47.
A line intersects the points (1, 6) and
(2, 3). What is the slope-intercept
equation for this line?
y = [?]x+ + [ ]
Picture below:
Answer:
y=-3x+9
Step-by-step explanation:
Find the change, then plug in the point.
a
Sean is a wrestler trying to make weight for the winter
season. He currently weighs 185 pounds. If he is able to
lose 1.5 pounds each week, how long will it take him to
weigh less than 167 pounds?
What is the difference between(5,-3) and (5,10)
name the two pairs of parallel sides
_____ and ______
______and________
Please mark as brainliest
Answer:
1. HP and MN
2. HM and PN
Step-by-step explanation:
The parallel sides are the ones that do not touch.
HP and MN don't touch.
HM and PN also don't touch.
Chicken noodle soup cans have a diameter of 2.4 inches and a height of 5.8 inches. What is the volume of the can? Round to the 10th.
Show work pls thank you
30 points
Answer:
26.22 cubed inches
Step-by-step explanation:
V=πr2h
r = radius = diameter/2
h = height
π = pi = 3.14
v = 3.14([tex]1.2^{2}[/tex])5.8
v = 3.14(1.44)5.8
v = 4.52 x 5.8
v = 26.22
Have a great day! :)
PLEASE RATE!!
The volume of the cylindrical can is equal to 26.0 [tex]in^3[/tex].
Given the following data:
Diameter of can = 2.4 inches.Height of can = 5.8 inches.Radius = [tex]\frac{diameter}{2} =\frac{2.4}{2} =1.2\;in[/tex]
How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 1.2^2 \times 5.8\\\\V = 4.5216 \times 5.8[/tex]
V = 26.22 ≈ 26.0 [tex]in^3[/tex].
Read more on volume of a cylinder here: brainly.com/question/21367171
please help this is due tomorrow
Answer:
Temperature is the measure of hotness or coldness expressed in terms of any of several scales. An example would be "The cup of beans are boiling hot and has a temperature of 100 °C, whereas the water in the tub is just comfortably warm, with a temperature of about 38 °C. Although the water in the tub has a much lower temperature, it has greater thermal energy".
Step-by-step explanation: