A rectangular field is eleven times as long as it is wide. If the perimeter of the field is 1680 feet, what are the dimensions of the field? A) Write an equation you can use to answer the given question. Let w be the width of the field.
Answer:
2(w+11w)=1680
Step-by-step explanation:
If the width is w, then the length is 11w.
Using the formula for the perimeter of the rectangle, the equation is 2(w+11w)=1680
please help it's another urgent pt 2
Using the OR and AND operations, we have that:
a. The graph of the and operation is x > a, while the graph of the or operation is x > b.
b. The graph of the and operation is x > b, while the graph of the or operation is x > a.
c. The graphs of both operations are the same, given by x > a = x > b.
What is the result of the AND operation between two data-set?
The result of the AND operation between two data-set is the set that contains elements that belong to both sets.
What is the result of the OR operation between two data-set?
The result of the OR operation between two data-set is the set that contains elements that belong to at least one of the sets.
In item a, we have that a is to the right of b, hence:
b is plotted before a on the number line.The intersection is the values starting at a, as between b and a, there are x > b but not x > a, while for x > a, the values will belong to both sets.The or is the values starting at x > b, as they will already belong to one of the sets.Hence:
The graph of the and operation is x > a, while the graph of the or operation is x > b.
In item b, we have that a is to the left of b, hence:
a is plotted before b on the number line.The intersection is the values starting at b, as between a and b, there are x > a but not x > b, while for x > b, the values will belong to both sets.The or is the values starting at x > a, as they will already belong to one of the sets.Hence:
The graph of the and operation is x > b, while the graph of the or operation is x > a.
In item c, we have that a and b are the same point, hence, hence the graphs of both operations are the same, given by x > a = x > b.
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Which number line represents the solutions to lx + 4) = 2?
O
O
O
←
+++
-7 -6 -5 -4 -3 -2 -1 0
1 2
+
←
+++ ++
-7 -6 -5 -4 -3 -2 -1 0 1
┫
+
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
++
+
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
2
+3
+
3
4
4
5
▬▬▬▬▬▬▬▬
4 5
6 7
4
+ +
6
7
5 6 7
++
5 6 7
+
y = ²√x - 3
X
-10
-4
-2
4
y
Answer:
di mo po alam yan
oh di po kayo makain tindi tagalog
S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie
Answer:
Step-by-step explanation:
We would substitute in 3 for r and 5 for h
s = 2[tex]\pi[/tex](3 + 5)
s = 2[tex]\pi[/tex]8
2 = 16[tex]\pi[/tex]
I need help with this please and work out the problem
Answer:The answer is 425
Step-by-step explanation:
Loan payments of $4000 due 200 days ago and $6000 due 63 days ago are to be replaced
by a payment of$5000 today and the balance 92 days from today. If money is worth 8.3%
and the agreed focal date is 92 days from today, what is the size of the final payment?
The size of the final payment is $5378.08
What is the size of the final payment?P1 = One loan payment = $4000
P2 = Second loan payment = $6000
P3 = Payment = $5000
Let P4 = Second payment
n1 = 200 days
n2 = 63 days
n3 = 92 days
r = Interest rate = 8.3%
[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]
[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]
[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]
$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]
P4/1.02092055 = $5267.87398
P4 = $5378.080801
Therefore, the size of the final payment is $5378.08
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Write the expression 3x + 4 using words
Answer:
three times "x" plus four
Step-by-step explanation:
three times "x" plus four
Hope this helps!
26) Jody earns $8.00 per hour.
Michael earns $10.00 per hour.
They each earn a 2% commission on what they sell.
Jody sold $6000. She worked 30 hours.
Michael sold $5000. He worked 40 hours.
What were each of their earnings for the week?
What was the difference in their earnings?
Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference between their earning is $140
Jody sold $6000
2% commission of $6000 is (2/100)x 6000
Jody's commission is $120
He earns $8 per hour and he worked for 30 hours
= 8 x 30
=$240
Jody's total earning = 240 + 120 = $360
Michael sold $5000
2% commission of $5000 is (2/100)x 5000
Michael's commission is $100
He earns $10 per hour and he worked for 40 hours
= 10 x 40
=$400
Michael's total earning = 400 + 100 = $500
Difference in there earnings= Michael's earning - Jody's earning
= 500- 360
= $140
Therefore, Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference in their earning is $140
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Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!
hi
budget is 170
we have 20 players and all of them need a package at 7.5 each.
So for 20 players total amount spend is : 20*7.5 = 150
there is 3.99 shipping cost
total spendings : 150 + 3.99 = 153.99
AS budget is 170 , so remais : 170 - 153.99 = 16.01
There are 100 marbles in a bag. 21 are green, 26 are blue, 17 are red, 19 are yellow, and 17 are orange. True or False: 17% of the
marbles are orange and red.
Answer:
False
Step-by-step explanation:
there are total 17+17=34 orange and red marbles
34/100 is 34%, not 17%
help pleaseeeeeeeeeeeeeeeeeeee
6.2E15
Here ; E stands for "times 10 to the power of or simply it replaces 10^ "
Given the fallowing function find (-3),f(1)
Answer:
12 ,-3, -8
Step-by-step explanation:
1: f(-3)= -5(-3)-3
2: f(0)= -5(0)-3
3: f(1)= -5(1)-3
Hope this helps!
Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!
By using dimensional analysis we find the following two results:
a) 0.30 m = 0.984 ft
b) 150 km / h = 1.554 mi / h
How to use dimensional analysisIn this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:
a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft
b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h
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Which answer choice is equal to -2x2 - 21x - 54?
the area of a sector is 5.024cm2 and the angle is 36°. what's the radius
Answer:
mark me brainlest
Step-by-step explanation:
The area of sector is = pi* r^2*β\360 …. . . .(1
Where
Pi=3.14
r = radius
β= angle=36
So. Put value in equation 1
5.024=3.14 * r^2*36/360
5.024*360/(3.14*36)= r^2
16=r^2
r=4
Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
In linear equation , 8.65% is the YTM .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Assuming face value to be $1000
Coupon = (0.09 * 1000) / 2 = 45
Number of periods = 8 * 2 = 16
Price = 102% of 1000 = 1020
YTM = 8.65%
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Can someone help me with this
Answer:
[tex]\sqrt{40}[/tex] would the answer to number 1.
(-1, 2) would be the answer to number 2.
How much will a person pay for 8.9 pounds of bananas at a price of $1.31 per pound?
Answer:
$11.66
Step-by-step explanation:
8.9 x 1.31 = 11.659 Round to the nearest penny
11.66
What is 2/3 x 9 in fraction?
Answer: it would be 18/3 or
Step-by-step explanation:
2/3 x 9 = ?
1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3
2) Find the GCF ( greatest common factor) for both numbers. Which is
3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or
HELP ASAP PLEASE!! FIND THE DOMAIN AND RANGE OF THJS GRAPH
The range is all the y-value or outputs of a function. In the case of a horizontal line, this is only one value.
The range is the y-intercept, -5.
The domain is all x-values or inputs of a function. For this graph, it is all real numbers (as you said).
The domain is all real numbers.
refer to the image pls!! Will give brainliest
Step-by-step explanation:
hmmm, it is all there, you only need to write it up.
so, please, let me know what you don't understand about such equations and variables.
(a)
2x + 5y = 45
8x + 3y = 44
(b)
to solve this we try to use either one equation to express one variable by the other. and solve for that remaining variable (and then drive the second one from that), or to combine both equations directly to eliminate one variable and solve.
I think the second option is best here.
so, we multiply the 1st equation by -4, and then we add both equations :
-8x - 20y = -180
8x + 3y = 44
-------------------------
0 - 17y = -136
-17y = -136
17y = 136
y = 8
2x + 5y = 45
2x + 5×8 = 45
2x + 40 = 45
2x = 5
x = 2.5
to rent a chair costs $2.50.
to rent a table costs $8.00.
What is the range of the function f(x) = x^2– 1 over the interval of -1 ≤ x < 3? Give your answer in interval notation.
Answer:
[0, 8)
Step-by-step explanation:
To find the range, compute the values of the function at the edges of the interval.
The interval edges are -1 and 3
f(x = -1) = (-1)² - 1 = 1 - 1 = 0.
f(x = 3) = 3² - 1 = 9 - 1 = 8 but does not include 3 so
so range of f(x) : 0 ≤ f(x) < 8
Note that we cannot have f(x) ≤ 8 only < 8 since the interval does not include x = 3
Range in interval notation is [0, 8)
The use of the square brackets on the left means the number is included in the interval; so 0 is included ( ≥ ).
The round brackets on the right mean that the number is not include (< 8 )
Write an equation in point-slope form if (-1, 2) is a point on the line and 1/4 is the slope.
The slope or gradient of a line is a number that describes both the direction and the steepness of line. The equation in point slope form if (-1,2) is a point on the line and 1/4 is the slope is y-2=[tex]\frac{1}{4}x+\frac{1}{4}[/tex].
What is a slope?A number that identifies the direction and steepness of a line is its slope or gradient. Letter m is frequently used to represent the slope.
The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. Occasionally, the ratio is written as a quotient (also known as a "rise over run"), which produces the same number for every two unique points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.
Given,
x1= -1
y1= 2
slope= 1/4
Substituting the values in the equation,
y-y1= m(x-x1)
y-2= [tex]\frac{1}{4}[/tex](x+1)
y-2= [tex]\frac{1}{4}x+\frac{1}{4}[/tex]
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Most new jobs in the United States will be in the _____. a. manufacturing industries b. goods-producing industries c. service-producing industries d. agriculture-producing industries Please select the best answer from the choices provided A B C D
Answer:
C - service producing industries.
Step-by-step explanation:
Brainliest pls, thank you
Answer:
Option C
Step-by-step explanation:
I took this already
is 35 over 56 a improper fraction and is 144 over 196 a improper fraction
.............................
[tex]\frac{ {9}^{x + 1} - {3}^{2x} }{4 \times {3}^{2x - 1} } \\ [/tex]
ans : 6
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
here :
[tex]{ \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)} [/tex][tex]{ \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)} [/tex][tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]
[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6[/tex]
Every day, Angeni's cupcake store sells 5,000 cupcakes in chocolate and vanilla
flavors. If the chocolate flavor is 3 times as popular as the vanilla flavor, how many of
each cupcake does the store sell per day?
The number of vanilla and chocolate flavoured cupcakes sold every day is 1250 and 3750, respectively.
Let the number of vanilla-flavoured cupcakes be "x".The number of chocolate-flavoured cupcakes is 3*x.A ratio in mathematics describes how many times one number contains another. A number is an arithmetic value used to represent a quantity and to do computations. Numericals are written symbols that represent numbers, such as "3." A number system is a logical writing system for representing numbers with digits or symbols.The total number of cupcakes that are sold is 5,000.According to the question, x + 3x = 50004x = 5000x = 5000/4x = 1250The number of vanilla-flavoured cupcakes sold every day is 1250.The number of chocolate-flavoured cupcakes sold every day is 3750.To learn more about numbers, visit :
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Is 70,509,733 divisible by 6?
Answer:
no
Step-by-step explanation:
70,509,733 /6=11751622.2
Answer:
no
Step-by-step explanation:
because it has to be divisible for both 2and 3.
2:
70,509,733
3 is not even. so, not divisble by 2
3:
70,509,733
7+0+5+0+9+7+3+3= 34
34 is not divisble by 3
I HOPE THIS HELPS
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14
14
weeks, but a river that can fill the lake in 25
25
weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed
Answer:
[tex]\frac{350}{11} weeks[/tex]
Step-by-step explanation:
Let V be the volume of water in the lake and w be the number of weeks to empty the lake
Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14
But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake
Net empty rate = Empty rate - replenishment rate = [tex]\frac{V}{14} - \frac{V}{25} = \frac{V}{w}[/tex]Divide the equation by V to eliminate V giving[tex]\frac{1}{14} - \frac{1}{25} = \frac{1}{w}[/tex]
Multiply by 350 (14 x 25) to eliminate the denominators[tex]25 - 14 = \frac{350}{w}[/tex] ==> [tex]11 = \frac{350}{w}[/tex]
Multiply both sides by w to cancel the denominator w11w = 350
Divide both sides by 11 to getw = [tex]\frac{350}{11 }[/tex] weeks