Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
Solve for
3+4 |x/2 + 3| = -11
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.
there is no solution
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
find the 12th term in the sequence: 1/16, -1/8, 1/4
Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
I need help with this
6x = 72
one step equation
Answer:
Hi! The answer to your question is x = 12
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
quare cm
Read the following problems. Sketch each shape and label it.
Then, answer the questions, showing your work below each questions
(Gehad drew a square that has side lengths of 8 cm.
o
SU
The Perimeter =
The Area =
...
X
help please ! solve for u and simplify the answer
Answer:
u = 5
Step-by-step explanation:
[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]
We want to solve for u. This means we need to isolate u on one side of the equation.
To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.
[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]
Multiply the numerators and denominators separately.
4 • 15 = 60
5 • 1 = 5
[tex]u + 7 = \frac{60}{5}[/tex]
Simplify the fraction.
60 ÷ 5 = 12
u + 7 = 12
Subtract 7 from both sides.
u = 5
Check your work by plugging u = 5 back into the original equation.
[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]
[tex]\frac{12}{15} = \frac{4}{5}[/tex]
[tex]0.8 = 0.8[/tex]
Your answer is correct.
Hope this helps!
Answer:
5 is your answer for u.
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other.
First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):
[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]
First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:
[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]
Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:
[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]
5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°
Answer:
x=34.5
Step-by-step explanation:
(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:
3x+18+93=`80
2x=180-111
x=69/2
x=34.5
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(゚ヮ゚☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
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Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.
Answer:
0.0603
Step-by-step explanation:
probabilty ethan picks an oatmeal and peanut butter cookie = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie
probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies
probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies
total number of cookies = 7 + 7 + 7 + 8 = 29
probability of selecting an oatmeal cookie = 7/29
probability of selecting a peanut butter cookie = 7/28
after eating oatmeal cookies, the amount of cookies would reduce by 1
7/29 x 7/28
HELP NOW QUICKKK PLZZZZ ITS TIMED WILL GIVE BRAINLYIST
Answer:
480. Since each one is 120 and there are 4 of them then its 120*4
Step-by-step explanation:
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?
Add the three items he wants to buy:
4.95 + 9.10 + 5.50 = 19.55
Subtract how much he has already:
19.55 - 2.30 = 17.25
He needs $17.25 more
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
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Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
Help please !!! I don’t know what to do
9514 1404 393
Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
__
6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
__
8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
_____
Additional comment
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.
what is more 2 liters or 2 deciliters
Answer:
2 liters.
Step-by-step explanation:
These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.
Hope this helps!!<333
Answer:
a liter is 10 times larger than a deciliter, so yes, it is more.
Solve the following system of equations.
-3x+5y=-7
-7x-9y=25
Answer:
(x,y)=(-1.-2)
Step-by-step explanation:
Using the elimination method:
-27x+45y=-63
-35x-45y=125
---------------------
-62x=62-->x=-1
-3*(-1)+5*6=-7-->y=-2
a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Answer:
$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Step-by-step explanation:
. citizen of the represented state
Which expression is equivalent to root 36/25
Answer:
6/5
Step-by-step explanation:
√36/25 =6/5
because root 36 is 6 and root 25 is 5.
INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
A. 43.96in?
Step_by_step explanationplease help me im so confused
Answer:
3 ang sagot
Step-by-step explanation:
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thx me later
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation: