Answer:
And............ What?
Subtract six times the quantity 3a + 12b - 4c from eight times the sum of the quantities 14a +
70 and 5b - 12c
Answer:
94a - 32b - 72c + 560
Step-by-step explanation:
First get the product of 6(3a + 12b - 4c) = 18a + 72b - 24c.
Second get the sum of 14a + 70 and 5b - 12c = 14a + 5b - 12c + 70 then multiply by 8 and the product is 112a + 40b - 96c + 560. Subtract the first product from the 2nd product to get the final answer
The thickness of DNA is about 3 * 10-9 meter. The thickness of the
smallest thing visible to the naked eye is 1* 10-4.
Compare the thickness of DNA to the smallest thing visible to the naked eye.
Answer:
The smallest thing is visible to the naked eye is 1/3x10^5 times as thick as DNA.
The thickness of DNA is 3x10^-5 of the thickness of the smallest thing visible to the naked eye.
Step-by-step explanation:
Answer:
Whatever is smallest to the naked eye is 1/3x10^5 times as thick as DNA.
What method would you choose to solve the
equation 2x- - 7 = 9? Explain why you chose this
method.
Answer:
2x2 - 7 = 9
Step-by-step explanation:
The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.
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Frank can mow lawns at a constant rate of 6/5 lawns per hour. How many lawns can Frank mow in 50 hours?
Answer:
60 lawns
Step-by-step explanation
6/5 lawns per hour times 50 hours = 60 lawns.
rate x time
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height
Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?
Answer:
See below
Step by step explanation:
Step-by-step explanation:
For cylinder:
r = 9 inches
h = 15 inches
[tex]V_{cylinder}=\pi r^2 h[/tex]
[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]
[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]
[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]
[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]
[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]
Cone's volume is one third of the cylinder's volume.
The half-life of gold-195m is approximately 30.5 seconds.
Step 2 of 3: How much of a 12 gram sample of gold-195m would remain after 41 seconds? Round to three decimal places.
The amount of the 12 grams sample of gold-195m having a half-life of 30.5 s that would remain after 41 s is 4.726 g
How to determine the number of half-lives Half-life (t½) = 30.5 sTime (t) = 41 sNumber of half-lives (n) =?n = t / t½
n = 41 / 30.5
n = 82/61
How to determine the amount remaining Original amount (N₀) = 12 gNumber of half-lives (n) = 82/61Amount remaining (N) =?N = N₀ / 2ⁿ
N = 12 / 2^(82/61)
N = 4.726 g
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solve the equation..
[tex]\\ \sf\longmapsto \dfrac{1}{4}y-7=\dfrac{1}{9}y[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}y-\dfrac{1}{9}y=7[/tex]
[tex]\\ \sf\longmapsto \dfrac{9-4}{36}y=7[/tex]
[tex]\\ \sf\longmapsto 5y=36(7)[/tex]
[tex]\\ \sf\longmapsto 5y=252[/tex]
[tex]\\ \sf\longmapsto y=50.4[/tex]
I need help please ASAP !!
Step-by-step explanation:
5 An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.
What is the answer to 1+1
Answer:
5
Step-by-step explanation:
this is easy
Answer:
2
Step-by-step explanation:
Which of these units would be best to use to measure the length of a box of tissues?
A. Grams
B. Kilograms
C. Centimeters
D. Kilometers
Answer:
Metric Unit: US Standard Unit (English Unit or Customary Unit) Millimeter (mm) Used to measure very short lengths or thicknesses. Example, length of a pencil tip. Centimeter (cm): Used to measure small lengths. Example: Length of a pencil. Meter (m): Used to measure big lengths. Example: Length of a classroom. Kilometer (km):
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A box of tissues is not that big, so we can't use kilometers.
You are only measuring the length, not the weight, so we can't use grams or kilograms.
The only option left is C, centimeters.
How much more is required to make 780 g to 1 Kg ?
Answer:220g
Step-by-step explanation:
1 kg is equivalent to 1000g, therefore 1000g - 780g = 220g
Hey, what's 25.21-12.47?
First, you have to line up the decimal places (it isn't multiplication or division).
25.21
- 12.47
_______
12.74
25.21-12.47 = 12.74
Answer:
12.47
Step-by-step explanation:
What is 10 x 10 in exponential form
Answer:
40
Step-by-step explanation:
Answer:
2= log(2x)
3=log(x)
4=log(x)
Step-by-step explanation:
Pls help me out I really need help
Answer:
9: 8
10: divisible by 2
11: 8 1/3
Step-by-step explanation:
What is the area of the region in the first quadrant bounded on the left by the graph of x=y^2/2 and on the right by the graph of x=3y−4 for 2≤y≤4 ?
The area of the region is -2/3 square units
The area bounded by the regionSince the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by
[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]
Integrating, we have
A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴
A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]
A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]
A = [56/6] - [24 - 16 - {6 - 8}]
A = [56/6] - [8 - {-2}]
A = [56/6] - [8 + 2]
A = [56/6] - [10]
A = 56/6 - 10
Taking the L.C.M, we have
A = (56 - 10 × 6)/6
A = (56 - 60)/6
A = -4/6
A = -2/3 square units
So, the area of the region is -2/3 square units
Find the graph in the attachment
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Assume a corporate bond pays a 5 percent coupon and matures in ten years. What will be the change in the current price of this bond if market interest rates increase from 5 to 5.5 percent?
The change in the current price of the bond when the market interest rates increase from 5% to 5.5% is a fall in the price of the bond.
What happens to bond prices with increased market interest rates?The attractiveness of bonds occurs when the interest rates fall. This fall drives up demand for bonds with fixed interest rates and the increasing demand causes bond prices to rise.
This implies that when interest rates rise, investors do not prefer the lower fixed interest rate paid by a bond. The reduced demand for bonds results in their declining prices.
Thus, when interest rates rise, bond prices fall and when interest rates fall, bond prices rise.
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What does the • stand for n the problem. -4 • 6
Answer:
Multiplication
Step-by-step explanation:
simple form:
-4 x 6
-4 TIMES 6
therefore -4•6
Answer:
it stands for x or multiply
Step-by-step explanation:
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
54 in²
81 in²
324 in²
486 in²
cube surface area = 6 x 9 x 9 = 486 in²
PLEASE HELP ME WITH THIS QUESTION
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 330 at increments of 66. A straight line joins the ordered pairs 0, 0 and 2, 66 and 4, 132 and 6, 198
Based on the graph, what is the dependent variable, what is the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is distance, the equation is y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is distance, the equation is x = 33y, and the dragonfly will travel 1,056 miles.
The dependent variable is time, the equation is y = 33x, and the dragonfly will travel 792 miles.
The dependent variable is time, the equation is x = 33y, and the dragonfly will travel 1,056 miles.
Answer:
The dependent variable is distance, the equation is y = 33x, and the dragonfly will travel 792 miles
Step-by-step explanation:
ordered pairs: (0, 0) (2, 66) (4, 132) (6, 198)
slope of linear equation = change in y ÷ change in x
⇒ slope = (132 - 66) ÷ (4 - 2) = 33
Therefore, equation of the line: y = 33x
When x = 24, y = 33 × 24 = 792 miles
Distance is dependent on time, therefore distance is the dependent variable and time is the independent variable.
Choose at random a person aged 20 to 39 years. Ask their age and marital status (never married, married, or
widowed/divorced/separated). The table gives the probability model for 12 possible answers.
Age in years.
20-24 25-29 30-34 35-39
Never married
0.227 0.156 0.089 0.054
Married
0.027 0.086 0.137 0.148
Widowed/divorced/separated 0.006 0.015 0.022 0.033
What is p(A)?
The probability model shows the distribution of people of age 20 to 39 years
The value of the probability P(A) is 0.631
How to determine the probability, P(A)From the question, the notation P(A) represents the probability that a person is either 20-24 years old or is married
From the table, we have the following parameters:
P(20-24) = 0.227 + 0.027 + 0.006 = 0.26P(Married) = 0.027 + 0.086 + 0.137 + 0.148 = 0.398P(20-24 and Married) = 0.027The probability, P(A) is then calculated as:
P(A) = P(20-24) + P(Married) - P(20-24 and Married)
Substitute known values
P(A) = 0.26 + 0.398 - 0.027
Evaluate the expression
P(A) = 0.631
Hence, the value of the probability P(A) is 0.631
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A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is V = 5.0 + 1.2x, where y is the predicted
number of points scored and x is the number of shots
taken.
In one game, a team takes 50 shots and the residual is
10. How many points were scored by this team in this
game?
O 45
O 55
O 65
O 75
Answer:55
Step-by-step explanation:
i had that question in my test
Answer:
the person above me is correct!
Step-by-step explanation:
Which of the equations or inequalities below are true?
A. 8-6<3
B. 8-6=2
C. 8-6>3
D. 6-8=2
Answer:
The answer is C because 8-6=2 and 2 is equal to 2
Step-by-step explanation:
4 flower bunches require 48 roses. how many bunches can be made with 84 roses?
Answer:
7 flower bunches
Step-by-step explanation:
One flower bunch requires 12 roses since 48/4 is 12
then to find out how many flower bunches can be made by 84 roses you would have to divide 84 by 12 which gives you 7.
Answer:
7
Step-by-step explanation:
48 roses divided by 4 roses is 12 roses per bunch.
84/12=7
8. The box plots show the heights of a sample of two types
of trees.
The median height of Tree _____ Is greater
WILL GIVE LOTS OF POINTS
slove for X= what would this be for Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters.
Which equation best represents the situation?
2.6\cdot⋅10.4 = x
, Not Selected
2.6 + 10.4 = x
, Not Selected
x + 2.6 = 10.4
, Not Selected
Incorrect answer:
x - 10.4 = 2.6
Results for item 16.
16
0 / 1 point
Solve for x in the equation you chose.
x =
Incorrect answer:
8.3
Answer:
x + 2.6 = 10.4
x = 7.8
Step-by-step explanation:
If 2.6 liters are added to x liters with the result that 10.4 liters then exist, the model is ...
2.6 +x = 10.4 . . . . . . . 2.6 added to x gives 10.4
The commutative property of addition lets you rewrite this to ...
x +2.6 = 10.4
__
Subtracting 2.6 from both sides of the equation gives its solution:
x +2.6 -2.6 = 10.4 -2.6
x = 7.8
We reached our goal by helping 2000 customers this month which is 14% more than last month. That means we must have helped how many customers last month?
Answer:
1754
Step-by-step explanation:
114% : 2000
100% : x
x =
[tex]2000 \times 100\% \div 114\% = 1754 \: customers \\ [/tex]
A music downloading website reports that 5 out of every 7 songs downloaded are classified as pop
music. According to this information, predict how many of the next 500 songs downloaded will be pop
songs. Round your answer to the nearest whole number.
Answer:
357 songs were pop
Step-by-step explanation:
5 out of every 7 songs are pop
mathematically =5/7 is pop
.
therefore 5/7 of 500
=5/7×500
=357.143
to the nearest whole number = 357
Twice the sum of a number and 9 is 30
Translate the statement into a mathematical equation & solve
Answer:
2x+9 is the equation
x = 10.5
Step-by-step explanation:
2x + 9 = 30
2x = 30 - 9 = 21
x = 21 ÷ 2 = 10.5
Hope this helps!
what is 44:20 = ?:5 ?
Answer:
11:5Step-by-step explanation:
[tex]44:20[/tex]
Cancel common factor : 4
[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]
The ratios are 44:20=11:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The given ratios are 44:20 = ?:5
we have to find the number in question mark place.
Let question mark be taken as x.
The ratios can be written in the form of fraction
44/20=x/5
Apply cross multiplication
44×5=20x
220=20x
Divide both sides by 20
x=220/20
x=11
Hence, the ratios are 44:20=11:5
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