Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
Express this number in scientific notation 0.0008235
40/50 to a simpel fraction
Answer:
4/5
Step-by-step explanation:
just divide by 10 since that's the largest number that both numbers can equally be divisible by
Answer:
4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that
Step-by-step explanation:
What best determines whether a borrower’s interest rate on an adjustable rate loan goes up or down
Answer:
a market's condition
Step-by-step explanation:
edge 2021
Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
What is the interest rate?It is the cost of borrowing money.
Interest rate levels depend on the supply and demand of the money.
Supply and demand are a part of market conditions.
We see that,
An increase in demand for money will increase the interest rate.
A decrease in demand for money will decrease the interest rate.
Conversely,
An increase in the supply of money will decrease the interest rate.
A decrease in the supply of money will increase the interest rate.
Demand and supply are market conditions
Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
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Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month.
Answer:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
[tex] n = 1019[/tex] represent the sampel size
[tex] \hat p=0.6[/tex] represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
Replacing the info given we got:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
y = -16x2 + 242x + 78
Answer:
y=210x+78
Step-by-step explanation:
y=-16x*2+242x+78
y=-32x+242x+78
y=210x+78
The states that dropped out of the Union, became the __________________ States of America 58 POINTS!!!
Answer:
Confederate
Step-by-step explanation:
During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.
At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".
There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 from a set of 15. So
[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]
The area 2730 possible arrangements of first, second, and third place.
A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc
Answer:3.3
Step-by-step explanation:
Circumference=8
Φ=288
π=3.14
Radius=r
Circumference=2 x π x r
8=2 x 3.14 x r
8=6.28 x r
Divide both sides by 6.28
8/6.28=(6.28 x r) /6.28
1.3=r
r=1.3
Length of arc =Φ/360 x 2 x π x r
Length of arc =288/360 x 3.14 x 1.3
Length of arc =0.8 x 3.14 x 1.3
Length of arc =3.3
Answer:32/5
Step-by-step explanation: did it in khan
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
What’s the correct answer for this?
ANSWER: D
Isosceles Right Triangle has 3 angles: 90 degrees, 45 degrees and 45 degrees
Answer:
D
Step-by-step explanation:
It is isosceles (having two sides and angles congruent) and it is right will provide enough information to find all the angles of the triangles.
How to find the area of the seating area
Parallelogram area is base times height. Base of 14, height of 10,
Answer: A = (14 ft)(10 ft) second choice
Answer:
choice B
Step-by-step explanation:
Solve for a given 2e^a =4b
Answer:
a = ln (2b)
Step-by-step explanation:
2e^a =4b
Divide each side by 2
2/2 e^a =4/2b
e^a = 2b
Take the natural log of each side
ln(e^a) = ln(2b)
a = ln (2b)
A wedge of cheese in the shape of a triangular prism is shown below.
Find the surface area of the cheese.
_______Square feet
Answer:
[tex]144 $ Square feet[/tex]
Step-by-step explanation:
The given triangular prism comprises of two equal right triangles and three rectangles.
The Surface Area of the Prism
=Area of Two Triangles + Area of Three Rectangles
[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]
Answer: 144
Step-by-step explanation:32+24+4-+48=144
Giving brainliest to CORRECT answer.
Answer:
D
If you put the equation into a calculator, it will show a graph of it.
If the first term of an arithmetic sequence is 4 and the difference between con-
secutive terms is 5, what is the second term? The third term? The twelfth? The
eightieth? The nth?
Answer:third term=14 twelfth term=59
Step-by-step explanation:
first term=a=4
Common difference=d=5
Second term=4+5=9
Third term=9+5=14
Using Tn=a+d(n-1)
T12=4+5(12-1)
T12=4+5x11
T12=4+55
T12=59
Twelveth term=59
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answer:
6.44 m2
Step-by-step explanation:
How many different 12-letter arrangements can be made using the letters in the word indianapolis?
Answer:
764
Step-by-step explanation:
Verify that 1 + cos 2 theta / 2 cos theta = cos theta is an identity
Answer and Step-by-step explanation:
We want to verify that (1 + cos(2θ)) / 2cos(θ) = cos(θ).
Let's focus on the left side. Look at cos(2θ). This is an identity, so remember that cos(2θ) = cos²θ - sin²θ. Also, look at the 1. Remember that sin²θ + cos²θ = 1, so plug both of these expressions into our equation:
(1 + cos(2θ)) / 2cos(θ) =? cos(θ)
((sin²θ + cos²θ) + (cos²θ - sin²θ)) / 2cos(θ) =? cos(θ)
2cos²θ / 2cosθ =? cosθ
cosθ = cosθ
Thus, we have proved this is an identity.
Answer:
(1 + cos(2theta))/2cos(theta)
cos(2theta) = 2cos²(theta) - 1
(1 + 2cos²(theta) - 1)/2cos(thetal
2cos²(theta)/2cos(theta)
cos(theta)
Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times the smaller angle. Find the measures of the angles
Answer:
Measure of first angle: 42 degrees,
Measure of second angle: 138 degrees
Step-by-step explanation:
Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle
1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x
2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180
3. In this situation it is convenient to apply substitution as to solve for x, y:
1. x + ( 12 + 3x ) = 180
2. x + 12 + 3x = 180
3. 4x + 12 + 180
4. 4x = 168
5. x = 42 degrees
4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:
1. y = 12 + 3 ( 42 )
2. y = 12 + 126
3. y = 138 degrees
Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.
the two angles are 84° and 96°.
We should start by defining what supplementary angles are.
Two angles a and b are supplementary if:
a + b = 180°.
Now, we also know that one of the angles is 12° larger than the other, so we can write:
a = b + 12°
Now that we have that equation, we can replace it in the first one, so we get:
a + b = 180°
(b + 12°) + b = 180°
Now we can solve this for b.
2*b + 12° = 180°
2*b = 180° - 12° = 168°
b = 168°/2 = 84°
To find the value of a, we can use the equation:
a = b + 12°
a = 84° + 12° = 96°.
Then the two angles are:
84° and 96°.
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Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6
Round 0.378 to the place underlined digit 3
Answer:
0.38
Step-by-step explanation:
7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest
Answer:
0.40
Step-by-step explanation:
this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero
Find the values of the variable y, for which:
the difference between the fractions y+12/y-4 and y/y+4 is equal to their product
Answer:
y = 12
Step-by-step explanation:
Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)
We'll assume we are only interested in the case where the difference is in the order listed.
[tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]
There is one solution.
_____
Comment on the solution
If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.
Write the expanded form of h(3k-12.4)
Answer:3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h x 3k - h x 12.4
3hk - 12.4h
tell me the answer to the question plz
Step-by-step explanation:
(11.99+23.98+9.95)= 45.92
she has to pay = 45.92 - 20/100 (45.92)
= 45.92 - 9.18 = 36.74
so option
about 37 is right
The value of a car with an initial purchase price of $18,250 depreciates by
11% per year.
Step-by-step explanation:
This problem on depreciation of price.
Given data
initial price = $18,250
rate of depreciation = 11%
to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have
depreciation=
[tex]\frac{11}{100} *18250\\0.11*18250= 2007.5[/tex]
Hence the depreciation= $2007.50
the new amount is [tex]= initial amount - depreciation[/tex]
[tex]=18250-2007.50\\= 16242.50[/tex]
the new amount is $16242.50
What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi
Answer:
1024 pi
Step-by-step explanation:
The area formula is ...
A = πr^2
So, the radius is ...
r = √(A/π)
For the given area, the radius of the cylinder is ...
r = √(64π/π) = 8 . . . . cm
The height is said to be twice this value, so is 16 cm.
__
The volume of the cylinder is found from ...
V = Bh
where B is the base area and h is the height. Our cylinder has a volume of ...
V = (64π cm^2)(16 cm) = 1024π cm^3
When plotting points on the coordinate plane below, which point would lie on the y-axis?
(0, 1)
(7, 0)
(6, 8)
(8, 2)
Answer:
(0,1)
Step-by-step explanation:
i got it right
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Answer: Equilateral, isosceles and scalene.
Step-by-step explanation:
brainliest quick!
Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.
Answer:
c
Step-by-step explanation:
Answer:
it's D
Step-by-step explanation:
The number never goes over 0 so there is no need to put anything above 0
A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
A 0.00463
B. 0.99537
C 0.16667
D. 0.00231
Answer:
a
Step-by-step explanation:
math
