Answer:
8
Step-by-step explanation:
[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]
A culture started with 3000 becteria. after 4 hours it grew to 3600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
You can solve this by setting up an exponential growth equation.
Now we solve for b
Now that we have found b, we can use the equation to predict how many bacteria will be present after 10 hours.
t = 10
Answer = 4732
Step-by-step explanation:
Find the volume of this composite figure
Answer:
381 feet cubed
Step-by-step explanation:
You need to divide the shape into 2.
I would divide the shape so that 8.5ft, 6ft, and 3ft are one.
Now do Length times Width times Height for the first one.
8.5 ft x 6 ft x 3 ft = volume for shape 1
The volume for shape 1 is 153 feet cubed
Now onto the second one.
Since you divide the other shape to have 8.5 feet the measurements are:
4ft, 9.5ft, and 6ft.
Do the formula lwh.
4ft x 9.5ft x 6ft = volume for shape 2
The volume for shape 2 is 228 feet cubed
Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.
153ft + 228ft = 381ft cubed
Need help with his geometry question. Find the value of x
Answer:
Step-by-step explanation:
Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo
Answer: 55.20$
Step-by-step explanation:
1. Add up 35% with the 15% since Mario is paying for it
2. Multiply 120(the cost without any discount/tax) with the new discount percentage
3. Now with the answer from multiplying subtract it from 120.
4. With the answer, multiply the tax percentage(0.08)
5. Now add It to the discounted price.
6. Round it to the nearest hundredth
7. Assessment Practice Tiffany buys a stuffed animal for 84¢. She pays with 8 dimes and I nickel. Which shows hov much change Tiffany should get? A A C) BO D
Answer:
1 cent
Step-by-step explanation:
Dime = 10 cents
8 Dimes = 8 * 10 = 80 Cents
1 Nickel = 5 Cents
80 + 5 = 85
85 - 84 = 1 Cent
Miko has 3 cakes.
She cuts each cake into 4 equal pieces.
How many pieces of cake does Miko have?
Answer:
12 pieces of cake
Step-by-step explanation:
4 pieces for each cake
there is a total of three cakes
needed to find total pieces of cakes
multiply 4 by 3 and you will get 12 pieces of cake.
Answer:
Miko has 12 pieces of cake
The following table summarizes a sample of the wait times at two branches of a bank. The district manager wants to construct a two-sample t test to see if there is a significant difference between the average wait times at the two branches.
Branch A B
Mean (minutes) 4.77 5.13
Standard deviation (minutes) 1.45, 45 1.36
Number of observations 20 20
Which of the following are conditions for this type of test?
Choose all answers that apply:
A. The samples are both randomly selected.
B. The wait times within each sample are independent of each other.
C. The wait times within each group are approximately symmetric without outliers.
The conditions for this type of sampling test regarding the wait times at two branches of a bank include:
The samples are both randomly selected.The wait times within each group are approximately symmetric without outliers.What is sampling?It should be noted that sampling simply means a statistical process where a predetermined number of observations are taken from a larger population.
In this case, the samples are both randomly selected and the wait times within each group are approximately symmetric without outliers. When there's a symmetric distribution with no outliers, the mean and standard deviation will be used.
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Can someone help me with this question please?
Answer:
a) 96 = 3.57√h
b) h ≈ 723.11 m
Step-by-step explanation:
a)The equation you want to solve is the model with the given values filled in.
D(h) = 3.57√h . . . . model
96 = 3.57√h . . . . . equation for seeing 96 km to the horizon
__
b)We solve this equation by dividing by the coefficient of the root, then squaring both sides.
96/3.57 = √h
h ≈ 26.891² ≈ 723.11 . . . . meters above sea level
Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.
75 POINTS IF U GET THIS RIGHT !!!!!Every June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40\%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10\%$ of what it was on June 1, 2004?
Answer:
In 2009
Step-by-step explanation:
If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:
2004 = 100%
2005 = 60 % (100 * .6)
2006 = 36 % (60 * .6)
2007 = 21.6 % (36 * .6)
2008 = 12.96 % (21.6 * .6)
2009 = 7.776% (12.96 * .6)
This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.
I hope this helps! :D
Answer:
2009
Step-by-step explanation:
On June 1, 2004 we can say that there were 100% of the wrens.
If the number decreases by 40% each year, then each year there will be 60% of the previous years number. To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)
June 1, 2004 = 100%
June 1, 2005 = 100% x 0.6 = 60%
June 1, 2006 = 60% x 0.6 = 36%
June 1, 2007 = 36% x 0.6 = 21.6%
June 1, 2008 = 21.6% x 0.6 = 12.96%
June 1, 2009 = 12.96% x 0.6 = 7.776%
Therefore, the census shows that the number of wrens is less than 10% in the year 2009.
You are mixing two kinds of candy to make 10 pounds of a mixture worth $5.50 per pound. One kind is $6 per pound and the other is $4 per pound. How many pounds of each should you use? Show all your work.
Answer:
5.60 pounds each
Step-by-step explanation:
This is the dry mixture problem.
Let x = the number of pounds of the first type of candy
Therefore, number of pounds of second type of candy = 10-x
Value of first candy + value of second candy = value of mixture
Value of any candy = cost per pound of candy * weight of candy
Thus:
4x + 6(10 - x) = 5.60(10)
4x + 60 - 6x = 56
-2x + 60 = 56
-2x = -4
x = -4/-2
x = 2
Therefore, the number of pounds of first type of candy = 2 pounds
The number of pounds of second type of candy = 10 - 2 = 8 pounds
Check
$4(2) + $6(8) =
8 + 48 = $5.60(10)
$56 = $56
Gabe planted 15 sunflower seeds, and 40% of them have sprouted. How many of the sunflower seeds have sprouted?
Answer:
hello
15 x 0.4 = 6
6 sunflower
Step-by-step explanation:
Answer:
6 of them have sprouted
Step-by-step explanation:
(15/100)x40
0.15x40
6
The fourth term of a geometric series is 10 and the seventh term of the series is 80. Find the sum to 10 terms of the series.
The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.
How to find sum of terms in geometric series?aₙ = arⁿ⁻¹
where
a = first termr = common ration = number of termsTherefore,
10 = ar³
80 = ar⁶
Hence,
a = 10 / r³
80 = (10 / r₃) r⁶
80 = 10r³
r³ = 80 / 10
r = ∛8
r = 2
a = 10 / 2³
a = 10 / 8 = 5 / 4
The sum of 10 terms can be calculated as follows:
Sₙ = a(rⁿ - 1) / r - 1
Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1
Sₙ = 5 / 4 (1024 - 1) / 1
Sₙ = 1.25(1023)
Sₙ = 1278.75
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Jessica has 300 cm³ of material. She uses 12.6 cm³ to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 3. How much more material does Jessica need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jessica needs an additional Choose... cm³ of material to make the second prism.
Answer:52.8
Step-by-step explanation:
Answer:
The answer is indeed 52.8
Step-by-step explanation:
Here is proof: I got the same answer.
The length of a rectangle is 3 inches more than it’s width.If the perimeter is 42 inches,find the dimensions of the rectangle.
Answer: Length = 9 in
Width = 12 in
Step-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
Answer:
Answer:
length = 9 in
width = 12 in
Step-by-step explanation:
You have to use the formula for the perimeter of a rectangle
P=2(l+w)
what is 65% of (102/2)
Answer:
33.15
Step-by-step explanation:
65% is 0.65
102/2=51
0.65*51=33.15 which is the answer
Find the missing number if the average is 8.8 and _____
A) 4
B) 8
C) 12
D) none of the above
Answer:
none of the above
Step-by-step explanation:
Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.
x + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22.
This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.
The answer is 13728.
Zoey purchased a new car in 1992 for $28,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,600 in the year 1996, then what would be the predicted value of the car in the year 1998, to the nearest dollar?
Answer:
V = V0 e^-k t where V is the value of the car and t the time in years
ln (V/V0) = - k t
k = -1/4 ln (96/280) = .268
V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621
Suppose that the volume of a right circular cylinder is 500 A cubic
centimeters and the radius of its base is 5 centimeters. What is the
height of the cylinder?
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
Volume of a cylindervolume = πr²h
where
r = radiush = heightTherefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
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Answer:
A) 20 cm
Step-by-step explanation:
Which of the numbers below is greater than 36.785 Select all that apply
A) 36.78
B) 36.79
C) 41.2
D) 36.789
5/6 of a number is 65.
Find the number.
Answer:
78 is the number
Step-by-step explanation:
(65*6)÷5 = 78.
5/6 of a number is 65.
And the number is 78.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A phrase: 5/6 of a number is 65.
To find the number:
Let the number be n.
Applying multiplication operation,
5/6 of n is 65.
(5/6)n = 65.
Applying cross multiplication,
n = 65 x 6/5
n = 390/5
n = 78.
Therefore, the number is 78.
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Luke's house is due west of Toronto and due south of Barrie. Toronto is 16 kilometres from Luke's house and 20 kilometres from Barrie. How far is Barrie from Luke's house, measured in a straight line?
Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
This problem can be modeled by a right triangle, with [tex]l_1 = 16, l_2 = d, h = 20[/tex], hence:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]16^2 + d^2 = 20^2[/tex]
[tex]d^2 = 144[/tex]
[tex]d = 12[/tex]
Barrie is 12 miles from Luke's house, in a straight line.
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what is the volume of the box with a high of 3/2 inches a length of 7/2 inches and a with of 5/2 inches
Answer: It is 105/8, or 13 1/8 (as a mixed number)
Step-by-step explanation:
To find volume, you do length times width times height (l * w * h)
Hope this helps! :D
Pleaseee help!
What is 8^2+x^2=17
Answer:
6.856
Step-by-step explanation:
8² + x² = 17
8² - 17 = -x²
64 - 17 = -x²
-47 = -x²
x² = 47
x = 6.856
The following refers to a purchase of a machine by a company on January 1, 2021:
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
Maximum amount the company can pay $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.
How to calculate the cash flow?Maximum amount that can be invested = $32348.
Less: Present value of salvage value = $5927
Present value of cash inflow = $32348 - $5927 = $26421.
Net cash flow will be:
= $26421 / PV factor
= $26421/5.242
= $5041
In conclusion, the correct option is $5041.
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a shopkeeper bought a pair of shoes at sh 480 he wished to make a profit of 30 percent after selling what was his marked price
Answer:
624
Step-by-step
480+(480(30%))
=624
Answer:
162
30/100 * 480
3/10 * 480
3/1 * 48
3 * 48
162
F(x)=4x^2 and g(x)=x+1, find (f x g)(x)
Answer:
option b
Step-by-step explanation:
It is option b
Your answer is 4(x+1)²
Answer:
B
Step-by-step explanation:
Given functions:
[tex]f(x)=4x^2[/tex][tex]g(x)=x+1[/tex][tex](f \circ g)(x) & =f[g(x)][/tex]
This means substitute the x of f(x) with the function g(x).
[tex]\implies f[g(x)]=4(x+1)^2[/tex]
Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters away from the hook. If Michelle is 20 meters away from the fish, how far below Michelle is the hook?
Answer:
12 meters
Step-by-step explanation:
You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12
R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.
Answer:
[tex]\sf (x+2)^2+(y-2)^2=2[/tex]
Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.
[tex]\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)[/tex]
[tex]\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)[/tex]
[tex]\sf =(-2, 2)[/tex]
Equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:
[tex]\sf \implies (x-(-2))^2+(y-2)^2=r^2[/tex]
[tex]\sf \implies (x+2)^2+(y-2)^2=r^2[/tex]
To find [tex]\sf r^2[/tex], simply substitute one of the points into the equation and solve:
[tex]\sf \implies (-3+2)^2+(1-2)^2=r^2[/tex]
[tex]\sf \implies 1+1=r^2[/tex]
[tex]\sf \implies r^2=2[/tex]
Therefore, the equation of the circle is:
[tex]\sf (x+2)^2+(y-2)^2=2[/tex]
QUESTION 20
Find the rate of interest required to achieve the conditions set forth.
A = $32,000
P = $8,000
t = 20 years
compounded annually
3.5265%
8%
5.6467%
7.1773%
The rate of interest required to achieve the conditions set forth is 7.1773%.
What is the interest rate?The interest rate is the rate at which the investment increases. The formula that can be used to determine interest rate is:
g = (FV / PV)^(1/N) - 1
Where:
FV = future value = $32,000PV = present value = $8000 n = number of years4^(1/20) - 1 = 7.1773%
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What is the area, in square inches, of the isosceles trapezoid below?