Answer:
2.36 * 10^13 miles
Step-by-step explanation:
Given that :
Proxima centauri is at a distance of 4.24 light years away from the sun.
Distance in miles of Proxima centauri from the sun ;
1 light year = 5.9 * 10^12 miles
Number of light years from the sun * 5.9 * 10^12
= 4 * (5.9 * 10^12)
= 23.6 * 10^12 miles
= 2.36 * 10^13 miles
The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?
Answer:
Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
In the top view of the square gem below, TW is the
midsegment of trapezoid SUVX.
Given that UV=10 and SX=6, find TW.
If necessary, round to one decimal place.
V
S
R
I need this ASAP!!!!!!
Answer:
(x, y) = (1, -9)
Step-by-step explanation:
y = -9x
-8x-6y = 46
By substituting the value of y (first equation) into the second equation, we get,
-8x - 6*(-9x) = 46
-8x + 54x = 46
46x = 46
x = 1.
So, y = -9
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
Is x2(2x+1) fully factored?
2.
X
6
6
What fraction will make the equation above true?
4
A.
1
B
2.
1
4
6
Answer:
What the english?
Step-by-step explanation:
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Will mark brainliest! A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places
a 28.73%
b 39.68%
c 40.32%
d 45.97%
Answer:
The answer is C, 40.32
Step-by-step explanation:
If you put 6.25 in your calculator times 40.32% you get 2.52. Then you add the 2.52 to 6.25 to get 8.77.
Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9. What are the values of a and b? I'll give brainliest
Answer:
[tex] - 5 \times - 1 = 5[/tex]
[tex]5 + 4 = 9[/tex]
Step-by-step explanation:
Therefore
[tex]a = - 5 \times - 1 = 5[/tex]
[tex]b = 4[/tex]
So 5+4=9
Answer:
69
Step-by-step explanation:
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tony and luke share some money in the ratio 3:7. luke recives £20 more than tony , how much do they receive.
Answer:
$ 30. okkkkkkkpkkpkkkpkdodjei
The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m. What is the volume of the prism use the V = 1 x w x h
George says that an account that an account that earns 4% interest compounded annally and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same. Analyze whether George's satement is accurate and explain which (if any) option is better. Explain how you got your answer. Use numbers and calcuations to provide evidence for your response. Answer in complete sentences.
The graph shows an image of dilation about the origin with a scale factor of 1/2
Answer:
Step-by-step explanation:
It's a
Bill baked 16 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Bill bake? Assume the relationship is directly proportional.
Answer:
Let c = the number of cookies
cookies/scoops of flour: 12/2 = c/3
Cross multiply.
2c = 36
c = 18 cookies
Step-by-step explanation:
Answer:
32 cookies.
Step-by-step explanation:
Find how much cookies Bill can bake with just 1 scoop of flour:
2 scoops of flour = 16 cookies
1 scoop of flour = 16 ÷ 2 = 8 cookies
Now, find 4 scoops of flour.
4 scoops of flour = 8 x 4 = 32 cookies
Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?
Answer:
1/7
Step-by-step explanation:
$1, 7 students
simply put 1 over 7 and you've got your fraction.
each student will get 1/7 of a dollar
Which terms in the expression 9d2+15d3+11c2+7 have 14c2 as a like term?
Factor x3 - 8x2 - 4x + 32 completely.
Answer + explanation
x^3 -8x^2 -4x +32
answer= (x - 8)(x + 2)(x - 2)
Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?
Three-quarters of a number is 15.
Work out four-fifths of the number.
Answer:
16
Step-by-step explanation:
let the number be x , then
[tex]\frac{3}{4}[/tex] x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
[tex]\frac{4}{5}[/tex] × 20 = 4 × 4 = 16
Answer:
16
Step-by-step explanation:
let the number be x , then
\frac{3}{4} x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
\frac{4}{5} × 20 = 4 × 4 = 16
Make D the subject of s=d/t
Answer:
speed = distance/time
Step-by-step explanation:
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In a game, Erin is rolling a fair number cube with faces numbered 1 to 6. Which BEST describes the probability of rolling an even number?
A. impossible
B. equal to the probability of rolling an odd number
C. less likely than the probability of rolling an odd number
D. more likely than the probability of rolling and odd number
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
The equation has a vertex at (0, 5) and focus of (three-halves, 5) is,
- 6 x + y²- 10 y + 25 = 0
−6x+y² −10y+25=0
What is a parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Given
The equation of a parabola is x = [tex]\frac{1}{4 \left(f - h\right)} \left(y - k\right)^{2} + h[/tex], where (h,k) is the vertex and (f,k) is the focus.
Thus, h = 0 k = 5, f = 3/2
The standard form is x = [tex]\frac{y^{2}}{6} - \frac{5 y}{3} + \frac{25}{6}x[/tex]
The general form is - 6 x + y² - 10 y + 25 = 0
The vertex form is x = [tex]\frac{\left(y - 5\right)^{2}}{6}[/tex]
The directrix is x = d
To find d, use the fact that the distance from the focus to the vertex is the same as the distance from the vertex to the directrix: [tex]0 - \frac{3}{2} = d - 0[/tex]
Thus, the directrix is x = - 3/2
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = 5
The focal length is the distance between the focus and the vertex: 3/2
The length of the latus rectum is four times the distance between the vertex and the focus: 6.
The eccentricity of a parabola is always 1.
To know more about parabola refer to :
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1) 2/7×1/2
2) 5/8×4/5
3) 1/6×2/3
4) 1/3×3/4
5) 1/2×2/3
6) 1/3×2/5
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market. How many deciliters of juice does jennifer buy in call
Answer:
50 deciliters
Step-by-step explanation:
Given that,
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market.
Total = 2 L bottle of apple juice + 3 L bottle of orange juice
= 5 L
We need to find how many deciliters of juice does Jennifer buy in all.
Since, 1 L = 10 Deciliter
5 L = 50 Deciliter
So, she will buy 50 deciliters of juice.
This is find the slope but I don’t get it. Whoever answers these two will be marked brainliest please help me I need these done and it’s currently 3 AM
Answer:
m=-2/5
Step-by-step explanation:
Slope is rise over run. In this graph the slope is negative because rise (change in the Y value) is decreasing.
Find each product. Use patterns
9x101 =
9 x 102 =
9 x 103
9 x 104
9 10
9x102
9 x 103
9 x 104
Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
If you want to learn more, you can read:
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Which statement is true
Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.
order from greatest to least 12, -4, 8, -3, 0