Answer:
see explanation
Step-by-step explanation:
An increase of 4% = 104% = [tex]\frac{104}{100}[/tex] = 1.04
Sue should have multiplied by 1.04
(b)
A decrease of 6% = 94% = [tex]\frac{94}{100}[/tex] = 0.94 , thus
160 × 0.94 = 150.4
Step-by-step explanation:
NOTE: Increasing x by p% means multiplying x by (1+p%).
4% = 4/100 = 0.04then
increase 160 by 4% means multiply 160 by (1+4%)
in other words:
1+0.04 = 1.04
increase 160 by 4% means 160 by 1.04
160×1.04 = 166.4
160×(1 - 6%) = 160×(1 - 0.06) = 160×0.94 = 150.4After the last ice age began, the number of plant species in South America changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of plant species,P (t), is modeled by the following function: P(t)=30,000,000⋅(89)t Complete the following sentence about the yearly rate of change of the number of plant species. Every year, the number of plant species grows/shrinks by a factor of __
Answer: Every year, the number of plant species shrinks by a factor of 8/9
Step-by-step explanation:
The factor for the numebr of plant species that grows/shrinks, as represented in the exponential function is: 8/9.
What is an Exponential Function?An exponential function is represented by the equation, [tex]f(x) = ab^x[/tex], where:
a = intial valueb = growth factor or multiplierGiven the function that models the number of plant species, P(t) = 30,000,000⋅(8/9)t, the growth factor in the exponential function is, 8/9.
Therefore, number of species grows/shrinks by a factor of 8/9.
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Answer:
y = (-1/6)x^2
Step-by-step explanation:
Original function and graph: y = x^2
Reflection across the x-axis is y = -x^2
Vertical scaling by a factor of 1/6: y = (-1/6)x^2
Test whether the following functions are analytic exp(x).(cos y + i sin y)
Answer:
The given f(z) is analytic function
i) δU/δx = eˣ (cos y) = δV/δy
ii) δU/δy = eˣ (-sin y) = - δV/δx
Hence the CR - equations are satisfied
Step-by-step explanation:
Explanation:-
Analytic function:-
A point at which an analytic function ceases to posses a derivative is
called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are
δU/δx = δV/δy and δU/δy = -δV/δx ( C R equations)
Given f(Z) = eˣ(cos y+ i sin y)
Let U = eˣ(cos y) ....(i)
and
V = eˣ(sin y) ....(ii)
Differentiating equation(i) partially with respective to 'x'
δU/δx = eˣ (cos y)
Differentiating partially equation(i) with respective to 'y'
δU/δy = eˣ (-sin y)
Differentiating equation(ii) partially with respective to 'x'
δV/δx = eˣ (sin y)
Differentiating equation(ii) partially with respective to 'y'
δV/δy = eˣ (cos y)
Now
δU/δx = eˣ (cos y) = δV/δy
i) δU/δx = δV/δy
δU/δy = eˣ (-sin y) = - δV/δx
ii) δU/δy = - δV/δx
Hence the CR - equations are satisfied
There fore the given f(z) is analytic function
You and your friend decide to sell cookies to raise money for a local fundraiser. After d days, you have raised (6d+7)dollars and your friend has raised (10d+10) dollars. Write an expression that represents the total amount of money that you raised together
A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statements describe the prism? Select three options. The prism is a cube. The diagonal of the base is 4StartRoot 5 EndRoot centimeters. The length of a side of the base is 20 centimeters. The area of a base is 40 square centimeters. The area of a lateral side between the bases is about 126.5 square centimeters.
Answer: The area between the bases is about 126.5 square centimeters
Step-by-step explanation:The diagonal of the base is 4√5 centimeters.
The area of a base is 40 square centimeters.
The area between the bases is about 126.5 square centimeters
Answer:
B, D, E
Step-by-step explanation:
Edg2020
Consider the polynomial 6x2 - 8x + 2.
What is the GCF of the polynomial?
2
What is the equivalent factored form of the polynomial?
(3x - 1)(x - 1)
(3x + 1)(x + 1)
2(3x - 1)(x - 1)
2(3x + 1)(x + 1)
Answer:
2(3x - 1)(x - 1)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
e2021
PLEASE ANSWER THIS QUESTION !! 20 POINTS AND BRAINLIEST !!
Answer:
x^2+7x+12
Step-by-step explanation:
(x+3) (x+4)
FOIL
first: x*x = x^2
outer: 4x
inner: 3x
last: 3*4 =12
Add them together
x^2 +4x+3x+12
x^2+7x+12
x^2 + 7x + 12
or A
Hope this helpsss
Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. How many three-points shots did she make
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- 2t + 2h = 174
h = 17
Therefore, she made 17 three point shots.
Find the surface area.
Answer:
The answer is 657.63
explanation
cylinder surface area = 897.63
rectangular prism surface area = 240
897.63 - 240 = 657.63
I have not done surface area in a while so It might be slighty off, sorry
An object’s weight on Earth varies directly to its weight on the Moon. If a man weighs 180 kg on Earth, then he will weigh 30 kg on the Moon. Set up an algebraic equation that expresses the weight on Earth in terms of the weight on the Moon and use it to determine the weight of a woman on the Moon if she weighs 120 kg on Earth.
Answer:
The gravity of the Moon is about one sixth that of the Earth. For example, an astronaut weighing 180 pounds on the Earth would weigh about 30 pounds on the Moon.
To buy a computer, Raquel borrowed $3,000 at 9%
simple interest for 4 years. How much money did she
have to pay back? (Hint: Combine both the principal and
simple interest for money she has to pay back).
Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:
[tex]I = \frac{P * R * T }{100}[/tex]
where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:
[tex]I = \frac{3000 * 9 * 4}{100}[/tex]
I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080
Consider these signed numbers and determine whether each product is positive or negative.
(-2/3) (5 2/4)
Positive
Negative
(4 5/9) (4/5)
(-6 3/4) (-7 1/11)
Answer:
(-2/3) (5 2/4) Negative
(4 5/9) (4/5) Positive
(-6 3/4) (-7 1/11) Positive
Step-by-step explanation:
There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.
(-2/3) (5 2/4) Negative
(4 5/9) (4/5) Positive
(-6 3/4) (-7 1/11) Positive
The solution is given below:-
(-2/3) (5²/₄) Negative
(4⁵/₉) (4/5) Positive
(-6³/₄) (-7¹/₁₁) Positive
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The product is always negative when a negative integer is multiplied by a positive number. The result is always positive whether you multiply two negative or positive numbers.
The multiplication will be done as:-
(-2/3) x (5²/₄) = ( -44 / 12 ) Negative
(4⁵/₉) x (4/5) = ( 164 / 45 ) Positive
(-6³/₄) x (-7¹/₁₁) = ( 2106 / 44 ) Positive
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Find the volume of the cylinder. Either enter an exact answer in terms of Pi or use 3.14 for Pi
Answer:
169.59
Step-by-step explanation:
Solution,
Radius(r)=3
Height (h)=6
Volume of cylinder= pi r^2 h
= 3.14*(3)^2*6
= 3.14*9*6
=169.56 units^3
Hope it helps
Good luck on your assignment
A book sold 32100 copies in its first month of release. Suppose this represents 6.2% of the number of copies sold to date. How many copies have sold to date.
Answer:
1900 copies sold to date
Step-by-step explanation:
you need to find the value of 6.2% of 32100
To do this:
6.2 ÷ 100
= 0.062
0.062 x 32100
= 1990.2
However, it's not possible to have .2 of a copy, so your round down
The answer is 1900 copies.
Hope it helped :)
Help fasttt!
What is the value of x?
Answer:
14
Step-by-step explanation:
5x = 70
x = 14
Answer:
The answer is option 1.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to substract the remaining angles from 360° :
[tex]5x + 110 + 110 + 70 = 360[/tex]
[tex]5x + 290 = 360[/tex]
[tex]5x = 360 - 290[/tex]
[tex]5x = 70[/tex]
[tex]x = 70 \div 5[/tex]
[tex]x = 14[/tex]
Only do question 15
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
The total number of trees is
567+324+156+89+678 =1814
Percent fir = 567/1814 = .312568908=31.26 %
Percent pine = 324/1814 = .178610805=17.86%
Percent larch = 156/1814 =.085997795=8.60%
percent cedar = 89/1814 =.049062845=4.91%
Percent hemlock = 678/1814 = .373759647=37.38%
The total should be 100 %
31.26+17.86+8.60+4.91+37.38=100.01 ( rounding error because we rounded to the hundredths place)
Answer:
15A.)
1814 total trees
15B.)
Fir: 31.256890849%
Pine: 17.861080485%
Larch: 8.599779492%
Cedar: 4.906284454%
Hemlock: 37.375964718%
Step-by-step explanation:
15A.) For this first part, you would add all the trees together to get the total:
567+324+156+89+678 = ?
891+156+89+678 - Add 567 and 324 together.
1047+89+678 - Add 891 and 156 together.
1136+678 - Add 1136 and 678 together.
=1814 total trees
15B.) For this second part, you would divide each tree type (567, 324, 156, 89, 678) by the total trees (1814). To convert the decimal to a percent, you would move the decimal point to places to the right. Not sure how many decimal places you wanted for each percent, so I gave the full decimal for you to round as you please on your answer.
Fir: 567/1814 = 0.31256890849 = 31.256890849%
Pine: 324/1814 = 0.17861080485 = 17.861080485%
Larch: 156/1814 = 0.08599779492 = 8.599779492%
Cedar: 89/1814 = 0.04906284454 = 4.906284454%
Hemlock: 678/1814 = 0.37375964718 = 37.375964718%
To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.
Answer:
Step-by-step explanation:
Given That
To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.
.
increased speed of car = 5km/hr .....(speed 1st)
distance travelled = 240km
speed = distance travelled / time taken
= 240 / 40
= 6
thus,
speed = 6km/hr .....(speed 2nd)
.
therefore original speed
= speed 2nd - speed 1st
= 6-5
= 1
Ans. thus, the original speed of the car is 1km/hr.What is the answer to the math problem 6+(-3)
Answer:
3
Step-by-step explanation:
.-.-.-.-.
The _______ represents half the distance between the maximum of a sine or cosine graph
Options: Extreme values, amplitude, period, frequency
answer quickly pleaseeeee
Answer: amplitude
Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.
The solution is Option B.
The amplitude represents half the distance between the maximum of a sine or cosine graph
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the distance between the maximum of a sine or cosine graph be A
Now , the maximum of sine graph is when θ = 90°
So , sin 90° = 1
The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1
And , the maximum of cos graph is when θ = 360°
So , cos 360° = 1
Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.
Hence , amplitude represents half the distance between the maximum of a sine or cosine graph
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Pablo generates the function f(x) = 3/2 {5/2} ^ x-1 to determine the xth number in a sequence.
Answer:
A on ed2020
Step-by-step explanation:
Pls select the correct answer
Answer:
Only Joe is correct
Step-by-step explanation:
We can infer this by looking at the ratio provided. The ration states that for every 2 men there are 7 women. It doesn't specify the total. So using this ration we get the answer that for every 1 man there are 3 1/2 women which is equal to Joe's answers.
Answer:
[tex]C[/tex]
Step-by-step explanation:
Jo is right. There are 3.5 times as many women as men.
[tex]2 \times 3.5 = 7[/tex]
Paul is right. 2 in 7 people are men.
[tex]2 : 7[/tex]
what is 1 plus 1 am dum
Answer:
2
Step-by-step explanation:
1 +1=2
Answer:
2
Step-by-step explanation:
How do I solve 5n=20
Answer:
n = 4
Step-by-step explanation:
To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.
1. (5n)/5 = 20/5
2. n = 4
Hope this helps! (Please consider giving brainliest)
[tex]5n=20[/tex]
Divide 5 from both sides.
[tex]5n/5=20/5[/tex]
[tex]n[/tex] does not have a coefficient now.
[tex]n=4[/tex]
Does this represent a proportional relationship? Explain your answer. A specific shade of orange paint calls for 2 parts yellow and 3 parts red. Catie uses 3 cups of yellow paint and 4 cups of red paint to make orange paint.
Answer:
proportional relationship is not represented by them
Step-by-step explanation:
Ratio a/b and c/d are said to be proportional if a/b = c/d.
_________________________________________________
ratio of yellow part and red part for specific shade of orange =
2 part yellow/ 3 parts red = 2/3
____________________________________________________
ratio of yellow part and red part used by Catie =
3 cups of yellow/ 4 cups of red = 3/4
______________________________________
we have two ratio 2/3 and 3/4
but 2/3 is not equal to 3/4
hence , proportional relationship is not represented by them.
please assist me with these geometry questions
the difference of MA is theres only A
the difference is the order
yes AB can be written as BA
A snowcone cup at the country fair is 15 cm tall and has a diameter of 8 cm if the cup is full just the top what is the volume of the cup used to. For for a party and round to the nearest whole cubic centimeter
Answer:
2827 cubic centimetre
Step-by-step explanation:
The cup is cylindrical in shape and it is full to the top.
The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of the liquid in the cup is:
[tex]V = \pi * 15^2 * 4[/tex]
V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre
Anyone got the RIGHT answer to this?
Make x the subject of:
h = 4 ( x + 3y ) + 2
Answer:
[tex]x=\frac{1}{4}h-\frac{1}{2} -3y[/tex]
Step-by-step explanation:
[tex]h = 4 ( x + 3y ) + 2[/tex]
[tex]h-2=4(x+3y)[/tex]
[tex]4(x+3y)=h-2[/tex]
[tex]x+3y=\frac{h-2}{4}[/tex]
[tex]x=\frac{h-2}{4}-3y[/tex]
A group of 5 friends sold lemonade. If they sold the cups for $0.50, how much money did each friend make if they split the money evenly?
Answer:
i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem
Step-by-step explanation:
if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer
hope this helps :)
Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 3) and (4, 2). y = negative 0.1 x minus 5 A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.
Answer:
Its d or option 4
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28. Hope this helps :)
Answer:
D
Step-by-step explanation:
Which expression is equivalent to 85? A) 8 · 5 B) 8 + 8 + 8 + 8 + 8 C) 8 · 8 · 8 · 8 · 8 D) 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
Answer:
A. 8.5
Step-by-step explanation:
is equivalent to 85 because
8.5 is in decimal.
remove the point from the middle and it will be 85 over 10.
Answer:
A
Step-by-step explanation: