The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a
How to Simplify Fractions?We want to simplify the expression;
[(4a + 4)/2a] * [a²/(a + 1)]
This expression can be further reduced to;
[(4a + 4)/2] * [a/(a + 1)]
Factorizing the numerator to get;
[(4(a + 1)/2] * [a/(a + 1)]
(a + 1) will cancel out to get;
2a
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What is the area of the shaded region below?
Answer:
Step-by-step explanation:
Remark
The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.
Area of the circle
Area of the circle = pi * r^2
r = 12 cm
pi = 3.14
Area of the circle = 3.14 * 12^2
Area of the circle = 3.14 * 144
Area of the circle = 452.16 cm^2
Area of 1/4 of the circle
Area of 1/4 of the circle = (1/4)*452.16
Area of 1/4 of the circle = 113.04
Area of the triangle
b = r
h = r
b = 12 cm
h = 12 cm
Area = 1/2 b * h
area = 1/2 * 12 * 12
area = 72
Area of the shaded part
Shaded part = area of 1/4 of the circle - area of triangle
Area shaded part = 113.04 - 72 = 41.04
Answer area of shaded part = 41.04
In the expression 5 × y/7 what value of y would make a product greater than 5?
Answer:
any value of y >= 8
Step-by-step explanation:
Anyone know how to do this? Help please!
Answer: 40
Step-by-step explanation: The angle on the straight line is 180, you have 140 the other angle is 180-40. It is also equal to the alternate angle shown
If you spin the spinner 36 times, what is the best prediction possible for the number of times it will not land on yellow?
The best prediction for the number of times it will not land on yellow would be 29 times.
We have,
Assuming the spinner has an equal probability of landing on each color, The probability of it not landing on yellow is 4/5.
So,
If you spin the spinner 36 times, the expected number of times it will not land on yellow is:
= (4/5) x 36
= 28.8
Since you can't have a fraction of a spin,
= 28
Thus,
The best prediction for the number of times it will not land on yellow would be 29 times.
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Julia had 164 apples. She gave her friend 30 apples.
Answer:
134
Step-by-step explanation:
164 minus 30 equals 134. Julia has 134 apples left after giving her friend 30 of them.
Answer:
if your asking how much she has in all it would be 134
Step-by-step explanation:
Because
164
30-
____
134
Michelle deposited $3,400 into an account. she made no additional withdrawals or deposits. michelle earned 1.95% annual simple interest on the money in the account. what was the total balance in her account at the end of 2.5 years? question 6 options: $165.75 $356.57 $3565.75 $1,657.50
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3400\\ r=rate\to 1.95\%\to \frac{1.95}{100}\dotfill &0.0195\\ t=years\dotfill &2.5 \end{cases} \\\\\\ A=3400[1+(0.0195)(2.5)]\implies A=3400(1.04875)\implies A=3565.75[/tex]
4x^2+10=11
solve equation using the square roots method
Answer:
x = 1/2, −1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Given f(x)=1/3x2−1 and g(x)=f(x−5), write an equation that represents g in terms of x.
Answer:
(fx^2)/3 - 6f
Step-by-step explanation:
If u could help with this I’d really appreciate it
Answer:
it reflection over the y axis not the x axis
Step-by-step explanation:
Jason needed to use 8 pounds 14 ounces of clay to make a bowl and twice as much to make a vase. If he had a 25 pound bag of clay available, did he have enough clay to make both items?
Find the area of the cylinder 14mm and 5mm
Answer: hope I helped look down
Step-by-step explanation:
h=A2πr﹣rr Radius A Surface area
A flagpole is 48 feet tall.
A 50-foot-long support
wire connects the top
of the flagpole to a
stake in the ground.
How far from the base
of the flagpole is the
stake?
Root 50^2 - 48^2 = 14ft
The distance of the base is 14ft
Hope this helps!
help! i will give brainliest!!!
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The scooter tire has a diameter of 32 cm. what is the circumference of the tire?
What is the measure of anglec to the nearest whole degree? 70° 77° 80° 85°
Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.
What is the Cosine Ratio?The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.
Using the cosine ratio, we have:
cos C = 2/9
C = cos^(-1)(2/9)
C ≈ 77 degrees.
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Answer:
77 is the answer
Step-by-step explanation:
A teacher weighed 145 lbs in 1986 and weighs 190 lbs in 2007. What was the rate of change in weight?
Answer:
2.14 per year :)
Step-by-step explanation:
First we subtract :)
190 - 145 = 45
Now we divide :)
45/21 = 2.14
2.14 pounds per year
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Write f(x)=|x-2| as a piecewise function.
Answer:
Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.
f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:
f(x) = {x - 2, x ≥ 2
{-x + 2, x < 2
Hope this helps! Have a great day.
The table shows the number of men and women who have entered a grocery store. Outcome: Man Woman Frequency: 25 20 What is the experimental probability that the next person to enter the store will be a woman? 3/4, 1/2, 3/7, 4/7
Answer:
1 because I don't know how to do this stuff yet
Due in 30 mins please help!!
Answer:
Step-by-step explanation:
1 > 1,2
2 > 5
3 > 0, 0, 5
4 > 0, 5
I used to the arrows to separate the numbers but that is really supposed to be the line dividing the the stem's and the leaves.
A figure is made up of a white triangle and black rectangle. The triangle has a height of 3 inches and a base of 6 inches. The rectangle has a length of four inches inches. What is the area of the black part of the figure?
Answer:
72
Step-by-step explanation:
first multiply 6 times 3 = 18 then do 18 times 4 which equals 72 all together
The diameter of a circle is 14 ft. Find the circumference to the nearest tent
h
circumference = πd
= 3.14 × 14
43.98 ft
hope it helps...!!!
Answer:
44
Step-by-step explanation:
We are given that the diameter is 14 ft.
The radius is half the diameter, so the radius is 7 ft.
Now, the formula for circumference is: 2πr
So: 2 * π * (7) = 43.98
Round: 43.98 >> 44.0
The population of a bacteria colony doubles every 6 hours. For example, starting with a sample of 10 bacteria, after 6 hours there would be 20 bacteria and so on. After 12 hours there would be 40, and so on. Now consider a scientist who has collected a colony of 25 bacteria. Create an expression and approximate the number of bacteria after 3 hours.
Answer:
If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.
Every time the bacteria reproduce, the number doubles.
A water sample shows 0.073 grams of some trace element for every cubic centimeter
of water. Anthony uses a container in the shape of a right cylinder with a diameter of
11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the
way. Assuming the sample contains the same proportion of the trace element,
approximately how much trace element has Anthony collected? Round your answer
to the nearest tenth.
The amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of cylinder can be given as,
[tex]V=\dfrac{\pi r^2h}{4}[/tex]
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
A water sample shows 0.073 grams of some trace element for every cubic centimeter of water. The proportion of element with water is,
[tex]p=\dfrac{0.073}{1}[/tex]
Anthony uses a container in the shape of a right cylinder with a diameter of 11.4 cm and a height of 16.5 cm to collect a second sample, filling the container all the way.
The total volume of the container is,
[tex]V=\dfrac{\pi (11.4)^2\times16.5}{4}\\V\approx1684 \rm\; cm^3[/tex]
The sample contains the same proportion of the trace element. Let the trace element has Anthony collected is x. Thus,
[tex]\dfrac{x}{1684-x}=\dfrac{0.073}{1}\\x=122.932-0.073x\\x+0.073x=122.932\\x=\dfrac{122.932}{1.073}\\x\approx114.6\rm\; gram[/tex]
Thus, the amount of trace element has Anthony collected, assuming the sample contains the same proportion of the trace element, is 114.6 grams.
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Jason is considering two different jobs that he has been offered and he likes the atmosphere and
other employees equally at both companies.
With the first job he would be an apartment property manager for AMLI Company. This job is
offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he
sets a one year lease up with. The company expects Jason to work all 52 weeks of the year and 40
hours per week. He was told he could expect to set up an average of 5 lease agreements for each
week that he works.
With the second job he would work as water treatment facility manager in Gwinnett County. He
would be paid an annual salary of $46,000 a year, there are no bonuses by he gets a week off.
Both companies deduct for Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and
Federal Income Tax (14%).
AMLI's individual health insurance costs $115 per month. Gwinnett County's health insurance is
only $25 per month for an individual.
Part A: Determine how much Jason will receive in one year after all deductions have been taken
for each company. Show your work neatly.
The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.
What is the final amount?With the first job, he would be an apartment property manager for AMLI Company.
This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.
The company expects Jason to work all 52 weeks of the year and 40 hours per week.
He was told he could expect to set up an average of 5 lease agreements for each week that he works.
The amount after one year will be given by an equation
Let y be the amount, x be the number of hours in a week and z be the number of the week.
y = 19x + 40z
The total number of hours in a year will be
x = 2080
Then
y = 19 × 2080 + 40 × 52
y = $ 41,600
The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be
→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86
→ $ 32,160.5
The amount after the insurance will be
Amount = 32160.5 - 115 × 12
Amount = $ 30780.5
With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.
The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be
→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86
→ $ 35,562
The amount after the insurance will be
Let the number of the worker be 10. Then
Amount = 35,562 - 10 × 12 × 25
Amount = 35562 - 3000
Amount = $32562
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What is the distance between the points (-4 , -11) and (-4 , 20) in the coordinate plane?
please help I am struggling I am in dire need of assistance.
Answer:
see below
Step-by-step explanation:
He forgot to multiply 'x' by '2' in the first step
It should be
4x-1 = 5 + 2 x
2x = 6
x = 3
Write an equation for each graph:
Answer:
[tex]y=-|x+1|+1[/tex]
Step-by-step explanation:
Parent function: [tex]y=|x|[/tex]
Reflect in the x-axis: [tex]y=-|x|[/tex]
Translate 1 unit to the left: [tex]y=-|x+1|[/tex]
Translate 1 unit up: [tex]y=-|x+1|+1[/tex]
Please refer to the attachments to see the individual transformations.
33. At 6 p.m, the temperature at the
North Pole was -19°F. By
midnight
the temperature had dropped
18°, What was the temperature
at
midnight?
A. 1°F
C.-37°F
B.-1°F
D.37°F
Answer:
C.
Step-by-step explanation:
Since you are subtracting a positive from a negative, your absolute value will get greater. With negative numbers, the less they become in value, the higher their absolute value will get. So, since we are subtracting a positive from a negative, we add them together. However, we need to add them as if they were both positive signs.
Once you do this:
19
+18
You should get 37. Since -19 has a greater absolute value than 18, you keep the negative sign and apply it to 37, getting you -37.
PLEASE HELP ME WITH THESE TWO QUESTIONS ITS DUE IN FEW MINS
apparently my answer contains inappropriate words so here's a picture
Hugh has $200 in his bank account. Hugh wrote six checks from his account in the following amounts: $20, $20, $12, $20, $12, and $42. He also made a deposit of $57 and was charged a $15 service fee by the bank. After all these transactions what was Hugh's balance?
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116.
How to determine the balance of a bank account
Here in this question we should understand the situation like a game with the following rules for the account balance:
A check from the account means a subtraction of money.A deposit means an addition of money.Service fee means also a subtraction of money.After a careful reading, we apply the rules described above and have the following calculation:
x = $ 200 - $ 20 - $ 20 - $ 12 - $ 20 - $ 12 - $ 42 + $ 57 - $ 15
x = $ 116
The balance in Hugh's account after writing six checks, making one deposit and being charge with a service fee by the bank equals an amount of $ 116. [tex]\blacksquare[/tex]
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