Answer:
− 2 √ 3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap
Answer:
180
Step-by-step explanation:
9x5=45
45x4=180
Answer:
180 cm^3
Step-by-step explanation:
4x5x9=180
Hope this helps! ;)
Solve the inequality: -3x - 22 > 23
Answer:x<-15
Step-by-step explanation:
Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?
Answer:
A
Step-by-step explanation:
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
What is the Nutrition?
Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.
How to determine?Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
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At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a horizontal distance of 2800 feet away. At what angle of elevation must the plane take off in order to safely clear the mountain ? Round your answer to the nearest WHOLE degree.
PLEASE i need help
Answer:
19 degrees
Step-by-step explanation:
Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.
Thus it's a tangent function.
SOH
CAH
TOA <-----
Tangent is the opposite / adjacent
So we will be looking at doing an Arctan to find the angle.
Arctan α = [tex]\frac{1000}{2800}[/tex] = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50
Your answer is 19 degrees
Is this expression equivalent to 1.5?
0.15 / 10
(0.15 divided by 10)
Answer:
False
Step-by-step explanation:
0.15/10 equals 0.015
Do the indicated operation: Express your answers in the lowest terms
x/2+x/5
Answer:
7x/10
Step-by-step explanation:
how to find constant of proportionality
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Answer it fast please
Answer:
0.00446
Step-by-step explanation:
We need to find the value of the following expression :
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]
We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]
So, the value of the given expression is 0.00446.
Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answer:
(-2,3)
Step-by-step explanation:
x=2y−8;−3x+2y=12
x=2y−8
−3x+2y=12
−3(2y−8)+2y=12
−4y+24=12
−4y+24+−24=12+−24
−4y=−12
-4y=-12
y=3
x=2y−8
x=(2)(3)−8
x=−2
If a triangle has sides of 6, 8, and 9, then it is call a________ triangle
Answer:
Right triangle
Step-by-step explanation:
What is:
1. 50% of 6 =
2. 50% of 10 =
3. 50% of 8 =
4. 50% of 16 =
5. 50% of 22 =
6. 50% of 30 =
7. 25% of 8 =
8. 25% of 12 =
9. 25% of 20 =
13. 10% of 20 =
14. 10% of 40 =
15. 10% of 35 =
Answer:
3, 5, 4, 8, 11, 15, 2, 3, 5, 2, 4, 3.5
Step-by-step explanation:
1: 6*0.5= 3
2: 10*0.5= 5
3: 8*0.5= 4
4: 16*0.5= 8
5: 22*0.5= 11
6: 30*0.5= 15
7: 8*0.25= 2
8: 12*0.25= 3
9: 20*0.25= 5
13: 20*0.1= 2
14: 40*0.1= 4
15: 35*0.1= 3.5
Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?
Answer:
If he deposited weekly, he would be depositing 9 dollars each week.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if it helped ;)
Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment
MT corresponds to
A
U
À
M
T
R
G
Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft
A store is having a clearance special and every item is 10% off. What is the sale price of a $210 suit?
Answer:
$189
Step-by-step explanation:
210 has to be multiplied by the decimal form of the percentage, 0.10, which equals to 21. This will be subtracted from 210, giving you an answer of $189.
-7/8+(-1/8)=
-1. 4/9+(-2. 2/3)=
-1. 2/3+(-2. 1/3)=
Пожалуйста помогите 20 балов!!!!
Find the volume of the cylinder.
13 radius 16 height
The decrease in price of an article is 5% of the original price. If the new price is $ 285, what was
the original price?
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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which expression is equivalent to 8x - 2y + x + x and why?
A 4x
B 8x
C 6x -2y
D 10x - 2y
Answer:
D
Step-by-step explanation:
8x+x+x-2y=10x-2y variant D
All things algebra triangle angle sum theorem
Answer:
The three angles of a triangle always add up to 180°.
That's basically all there is to it. I know this was pretty short but I hope it helps. :)
Answer:
The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.
Step-by-step explanation:
(hope this helps :P)
can anyone give me the answer?
Answer:
169
Step-by-step explanation:
The square area is 64 and the paralellogram is 105
Add those two: 64+105=169
The distance between point A and point B is 2 1/2 units. Which number could represent point B?
A)-30. B)2.5. C)-2.0. D)3.5
Answer this, please! Anybody
Answer:
1/4 and 1/8 which shold multiply
Step-by-step explanation:
-6х + 5 y = 1
6х + 4 y = –10
Answer: 16-!
Step-by-step explanation:
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
Answer:
y = 9x + 10
Step-by-step explanation:
y = mx + b
Here, m is slope and b is y-intercept
y = 9x + 10
what number must you add to complete the square?
x^2+14x=3
Answer: 49
Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.
The question is, what is the number we need?
Well it comes from a formula. The number that is added to both sides
comes from half the coefficient of the middle term squared.
So that's half of 14 which is 7, squared which is 49.
What is the sum of 4 1/2 + 5 1/2?
Answer:
10
Step-by-step explanation:
5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10