Answer:
0.000033
Step-by-step explanation:
(7.8×10^-5)-(4.5×10^-5)=
(7.8×0.00001)-(4.5×0.00001)=
0.000078-0.000045=
0.000033
Answer:
0.000033
Step-by-step explanation:
your welcome :)
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
Giving brainliest to CORRECT answer.
Answer:
D
If you put the equation into a calculator, it will show a graph of it.
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)
How many different 12-letter arrangements can be made using the letters in the word indianapolis?
Answer:
764
Step-by-step explanation:
Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6
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
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°.
If you want to learn more, you can read:
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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.
In the data set below, what is the upper quartile?
3344466889
Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
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
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%)
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.
Divide the decimal 122.4 by 9
( 122.4÷9)
Answer:13.6
Step-by-step explanation:
122.4 ➗ 9=13.6
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
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.
Learn more about demand and supply in a market here:
https://brainly.com/question/14940425
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please help this is timed please!
Answer:
f/g(x) 1/x x=0
Step-by-step explanation:
f/g 1/x+2
x+2=0
-2 -2
x=-2
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.
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:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
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
For a sphere with a radius of 8, what is the surface area
Answer:
64
Step-by-step explanation:
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
Simplify.
2567 · 162
Answer:
151 * 17 * 3^4 * 2
Step-by-step explanation:
2567 | 17
151 | 151
1
162 | 2
81 | 3
27 | 3
9 | 3
3 | 3
1
Answer:
415854.
Step-by-step explanation:
A multiplication.
Using a calculator it is:
415854,
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answer:
Graph B
Step-by-step explanation:
ivana has 5.50 luc has 1.4 times as much as ivana, how many indian rupees would ivana get if the value of rupees are 61.92 per dollar rate
Express this number in scientific notation 0.0008235
Complete 12 for 10 points.
Answer:
5 minutes
Step-by-step explanation:
200+15=215
214/43=5
It moved up a total of 200 + 15 = 215 meters at 43 meters per minute
t = 215 m / (43 m/min) = 5 minutes
Answer: 5 minutes
Select the closest answer. *
20 points
1. Find the surface area of a sphere with a radius of 4.2 centimeters.
A. 235.6 cm?
C. 121.4 cm
B. 310.3 cm
D. 221.7 cm
A
B
С
OD
Select the closest answer.
Answer:
D. 221.7 cm
Step-by-step explanation:
Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]
'r' - radius
We are given the radius of 4.2 centimetres.
[tex]SA=4\pi 4.2^2\\4 * \pi * 4.2^2\\\rightarrow 4.2^2 =17.64\\\text {Using 3.14 for pi: }\\4 * 3.14 *17.64\\12.56*17.64\\\boxed {221.5584}[/tex]
221.5584 ≈ 221.6
The closest answer is Option D, therefore it should be the correct answer.
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