Answer:
P= 2(3W + 7) + 2(W) = 110.
P= 6W + 14 + 2W = 110.
= 8W + 14 = 110.
= 8W = 110 - 14 = 96
W = 96/8 = 12- inches.
Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches
7=43 inches if this help.can u mark me brainliest
The width of the rectangle is 12 inches and the length is 43 inches.
What is the perimeter?
The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.
The length and the width are calculated as:-
P= 2(3W + 7) + 2(W) = 110.
6W + 14 + 2W = 110.
8W + 14 = 110.
8W = 110 - 14 = 96
W = 96/8 = 12 inches.
Now solve for (L) by
L = 3W + 7 = 3(12) + 7
L = 36 + 7 = 43 inches
Hence, the width is 12 inches and the length is 43 inches.
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what is the exact volume as x? (attached image)
Answer:
x = 25
Step-by-step explanation:
The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:
a = xb = xc = x√2Find x
c = x√2
25√2 = x√2
25√2 ÷ √2 = x
x = 25
I hope this helps!
Can anybody help with Simple interests
Answer:
1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19
Step-by-step explanation:
1.) You need to know the exponential growth and decay formula.
The formula: y=ab^x
**For no.1**
Your initial amount is 300 which is the a
You need to do 100%+8% which is 108%
-This needs to be in decimal form: 1.08
4 years is the number of times the interests shall go up
Now do the equation:
y=300(1.08)^4 --> Multiply everything but do exponents first!!
y= $408.146688
$408.15 - This is the answer for no.1 it shall be rounded
**For no.2**
Same thing as last:
y=1500(1.75)^3
y= $8,039.0625
$8,039.06
**For no.3**
y=900(1.12)^60
y= 807,837.24
This had to be approximate
**For no.4**
y=820(1.06)^6
y= 1,163.1856
$1,163.19
Use substitution to solve the system.
Y=2x+11 5x+2y=-14
X=
y=
Answer:
x = -4, y = 3
Step-by-step explanation:
1. Substitute 2x + 11 for y:
5x + 2(2x + 11) = -14
2. Simplify:
2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,
9x + 22 = -14
3. Isolate x:
9x + 22-22 = -14-22 = 9x -36
9x/9 = -36/9
x = -4
4. Plug in the value of x in to solve for y:
y = 2(-4) + 11
y = 3
hope this helps!
Two drums have their radii in the ratio of 2:3, if the height of the first drum is 1.5m, what is the height of the second drum, if the two contain same amount of water?
Answer:
0.6
Step-by-step explanation:
apply the volume of cylinder and equal both of them because both contain same amount of water.
see the picture for full solution
In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence.
Answer:
state the problem
ask relevant questions
perform an experiment to collect data
compare with the baseline value of the control group
arrive at a logical conclusion
make a hypothesis
how do you recognize an exponential equation
if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.
The first three and last terms of an arithmetic sequence are 7, 13, 19,..., 1357.
(a) Find the common difference.
Answer:
6
Step-by-step explanation:
common difference = (n + 1) - nth term = 13 - 7 =6
Answer:
subtract 6 every time
Step-by-step explanation:
you subtract first term from second term
Compare learning about functions to learning a new language. How are they similar?
Answer:
Similarities
They both follow strict laws (typically stricter for math).
Practice makes perfect: both can be learned to points of practical perfection.
The brain must first attribute meaning or value to elements of either in order to build a learning pattern.
Differences:
Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.
Math is logical and language is largely artistic.
There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.
Step-by-step explanation:
Answer:
Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.
Arianna paid $144 in simple interest on a $2000 loan that she repaid in 2 years. what interest rate did ariana pay on the loan
Ariana paid a 3.6% interest rate on the loan.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $2000
Simple interest = $144
Time (T) = 2 years
⇒ Simple interest = P × R × T
Substitute the value of P and T in the above formula,
⇒ 144 = 2000 × R × 2
⇒ 144 = 4000 × R
⇒ R = 144/4000
Apply the division operation, and we get
⇒ R = 0.036
⇒ R = 3.6 %
Therefore, Ariana paid a 3.6% interest rate on the loan.
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Which of the following isatangent
Answer:
can you re word this i dont understand
HELP please! I need Help. Pre-calc. I'm not sure how to solve this. 50 Points! Please It will be appreciated.
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
Group of answer choices
A. 17 inches by 9 inches
B. 17 inches by 8 inches
C. 15 inches by 8 inches
D. 15 inches by 9 inches
[tex]\large{\mathcal{QUESTION:}}[/tex]
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
[tex]\large{\mathcal{ANSWER:}}[/tex]
B. 17 inches by 8 inches
The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that elliptical mirror has an eccentricity of 0.8.
Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,
We can conclude that the minimum dimensions needed for the sheet of glass could be;
17 inches by 8 inches
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A vase has 4 yellow flowers, 4 red flowers, and 8 blue flowers. Donna took a flower smelled it and put it back ,then took another flower and smelled it. What is the probability that the first flower was red and the second flower was blue?
Answer:
1/8
Step-by-step explanation:
Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.
total number of flowers: 16
yellow: 4
red: 4
blue: 8
p(red) = 4/16 = 1/4
p(blue) = 8/16 = 1/2
p(red then blue) = 1/4 × 1/2 = 1/8
Answer: 1/8
HELP!
The function f(x) = ax^2 + bx +c has an axis of symmetry of x = -3. The graph opens downwards and passes through the point (0,5). Write a possible equation for f(x).
Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of butter make one cupcake, And Isaac is making 10 cupcakes,How much batter will be left over.
Answer:
The Answer is 1 cup and 4 oz, I'm sorry if incorrect..>~<
Answer:
The Answer is 1 cup and 4 oz.
Step-by-step explanation:
2qts + 1cup equals 72 oz. 6oz x 10=60oz.
72 oz - 60 oz = 12 oz. 1 cup and 4 oz.
3. Erin is an architect who is currently constructing a new building. She is looking at the building's new blueprints. a) Erin needs to find the distance around the patio in order to finish construction soon and build a fence. What is the distance around the patio? Show your steps. b) Erin now needs to find the area of this part of the building in order to buy tiles for the floor plan, which is shown on the blueprints. What is the area of the floor plan? Show your steps
Answer:
a is when you need to go from 12 to 5 so is this flvs?
Step-by-step explanation:
Answer:
a)
first you need to find the missing lengths the first one would be
12-7=5
and the second one you will need to find the circumference
π*4*2=8π
and now you add
12+7+5+5+3+8π=32+8π
so the perimeter is 32+8π
b)
so lets make some sections
one of the sections will be a rectangle that is 8 in length and 7 in width
8*7=56units^2
and another reactangle that is 3 in length and 5 in width
3*5=15units^2
and then we need to find the area for the semicircle with a raidius of 4
π*4^2=16πunits^2
them divide by 2
(16π)/2=8pi
so the area would be 71+8π
Step-by-step explanation:
PLS HELP ITS ONLY 2 QUESTIONS
For number 6, Cylinder formula 3.14r^2*h (h=height)
For 5, pyramid formula 1/3b*h
5) base=33
Length=34
Height=21
6) pi=3.14
Radius=20
Height=31
Answer:
Cylinder: 3.14(20)^2*31
3.14(400)*31
1,256*31
becomes the answer 38,936!
Pyramid: 1/3(33)^2*21
1/3(1,089)*21
363*21
7,623!!!
Is 2x + 6x equivalent to 9x when x=0?
Answer:
Yes
Step-by-step explanation:
Anything muliplied by zero end up equalling zero. So with this in mind we can put 0 in for x and find out what each eqautian equals.
2(0) + 6(0) = 0; Once we multiply both sides we end up adding 0 and 0, so it equals 0
9(0) = 0
Since, 0 = 0 they are both equal.
Hope this helps!
The copy machine at the library made a copy of Leslie's 3-page essay in just 1/10 of a minute. What is the speed of the copy machine?
Answer:
30 pages
Step-by-step explanation:
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Speed is the change in distance of a body with respect to time.
Speed = Distance/Time
If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs
To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).
If 3 page essay = 6secs
x page essay = 60 secs
cross multiply
3*60 = 6x
180 = 6x
x = 180/6
x = 30
This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.
The area of the Atlantic Ocean is 2.9638 x 107 mi? . The area of the
Pacific Ocean is 6.0061 x 107 mi? How much greater is the area of the
Pacific Ocean than the area of the Atlantic Ocean?
A 3.0423 x 10° mi?
B 3.0423 x 104 mi?
C 3.0423 x 106 mi?
D 3.0423 x 10? mi?
Answer:
Answer not in the listed options....did you enter all of the info correctly ?
Step-by-step explanation:
6.0061 / 2.9638 = 2.026 times bigger
Which is the largest ratio?
StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3
Answer:
Convert these ratios into fractions and then into their actual values.
(This is just one way of solving this, there are other plentiful ways you could use to solve this.)
2 : 9
Will become
2/9
Which will result in
0.222...
3 : 18
Will become
3/18
Which will result in
0.1666...
1 : 3
Will become
1/3
Which will result in
0.333...
Now, compare these numbers:-
0.222..., 0.1666..., and 0.333...
And out of these three numbers, 0.333... is by far the greatest number out of all of these ratios.
Therefore, the ratio 1:3 is the largest ratio.
Find the volumn of prism given figures
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of surface areas and volumes.
To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.
Here we divide it into two separate parts. so we get as,
after solving, we get total volume as 1140 cm^3
given that ax60=b work out the value of 4b/a
Answer:
Given,
a x 60 = b
or
b = a x 60
Similarly, the value of a would be:
We need to find
Therefore, we have to put the either values of a and b in the specified equation:
Hence,
We have only put the value of one variable to evaluate or to make it variable free
or
Therefore, the value of 4b/a is 240.
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Answer:
29 i
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
A rectangular field has a perimeter of 300m. What is the area of the field if the length of the field is twice the width of the field
Answer:
5000 square meters
Step-by-step explanation:
Create a rectangle and use any variable to lable it.
I used c and I know that the length is twice the width, so I added "c" for both widths and "2c" for both lengths.
Count the number of c's up and you will get 6.
Divide 300/6 to get the value for c.
You get 50 for c, so plug it in for the length 2(50) or 100, and plug it in for the width or 1(50).
Now that you have the length and width of the triangle, use length times width to find the area.
100x50=5000
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
7.235 cm
Step-by-step explanation:
Pythagorean theory
A^2 + B^2 = C^2
A = 4.7
B = 5.5
4.7^2 + 5.5^2 = C^2
22.09 + 30.25 = C^2
√52.34 = √C^2
7.235 cm ≈ C
what is 1/4x-6=-10 step by step please help me
Answer:
x = -16
Step-by-step explanation:
[tex]\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6 \ \ \ \ \ \ \ \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer[/tex]
Hope this helps!
Find the value of f(5) for the function.
f(x) = 6+3x
Answer: 21
Step-by-step explanation:
This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.
2. The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour.
Which equation models the relationship between the total cost, y, and the number of hours, x,
,
that the paddleboat is rented?
(2015)
A. y=3.5x+7 B. y=7x +3.5 C. y=+3.5 D. y + 7
Answer:
The answer would be y=3.5x+7
Step-by-step explanation:
This is because there is a one-time fee of $7, meaning there is no x attached with it. 3.5 has an x with it because it is 3.5 per hour, and not just one time. Hope this helps! :)
Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3
A. -2/7
B. -8/15
hope it helps...!!!
The sum of two consecutive odd numbers is 28. Find their product
We will see that the first odd number is 13 and the second odd number is 15, the product is:
P = 13*15 = 195
How to find the two consecutive odd numbers?
Let's say that the first number is x, the next odd number will be x + 2.
The sum of these two odd numbers must be 2, then we need to solve the linear equation:
x + (x + 2) = 28
We can solve that for x:
2x + 2 = 28
2x = 28 - 2 = 26
x = 26/2 = 13
Then the first number is x = 13 and the second number is x + 2 = 13 + 2 = 15.
The product of these two numbers is:
13*15 = 195
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