Answers
ACE = 115
angles ABC and DCB are congruent because they are alternate interior angles
DCB =35
and for angle ACB we do
ACE + ACB + DCB = 180
115 + ACB + 35 = 180
ACB = 180 - 115 - 36
ACB = 29
Related Questions
A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is the particle at rest?
Answers
Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]
Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is
[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]
Equating this to zero, we get
[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]
This is a familiar quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]
[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]
[tex]\;\;\;= 3\;\text{and}\;4[/tex]
This means that the particle will be at rest at t = 3 and t= 4.
An airplane can ascend at a rate of 50 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?
Answers
Answer:
78.75
Step-by-step explanation:
A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall
during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answers
1
m
=
3.3
f
t
1m=3.3ft
We can make the conversion from feet per second to meters per second with this procedure:
(
165
f
t
s
)
(
1
m
3.3
f
t
)
=
50
m
s
(165
s
ft
)(
3.3 ft
1 m
)=50
s
m
Let
x
x be the amount of meters the parachutist will fall during 15 seconds of free fall
Having that in 1 second the parachutist falls 50 meters, we can calculate
x
x :
x
=
(
50
m
s
)
(
15
s
)
x=(50
s
m
)(15 s)
x=750 m
Emple
Six pounds of grapefruit cost $3. What is the cost per pound?
You can use a double number line to help you find ate and
unitate Start with the ratio you know: 53 for 6 pounds
Divide both 53 and 6 pounds by 3 to get 1 for 2 pounds
Then divide 51 and 2 pounds by 2 to find the cost per
pound, which is so. So for 1 pound.
1
Notice that you can also divide 3 by 6 to get the cost per
pound directly
In the example, how much would it cost to buy 3.4 and
5 pounds of grapefruit? Explain how you found your
answers
Answers
Answer:
0.50
Step-by-step explanation:
[tex] \frac{3}{9} = \frac{?}{3} [/tex]
What's the missing number
Answers
3/9 = □/3
Do cross multiplication.
3/9 = □/3
3 × 3 = 9 × □
9 = 9 × □
9/9 = □
1 = □
◇ The missing number (□) is 1.
______
Hope it helps ⚜
Answer:
The missing number is 1.Step-by-step explanation:
[tex]\frac{3}{9} = \frac{x}{3}[/tex]Now, in this equation, we can see that 3/9 needs to be simplified. Let's simplify it.=> [tex]\frac{3}{9} = \frac{1}{3}[/tex]Our new equation is: [tex]\frac{1}{3} = \frac{x}{3}[/tex] => [tex]x = 1[/tex]Conclusion:
Therefore, the missing number is 1.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The model represents an equation. What value of x makes the equation true?
A) -3
B) -9
C) 3
D) 9
Answers
Solve for the value of X
Answers
Check the picture below.
PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!
Answers
Answer: (a) identity
Step-by-step explanation:
Anything multiplied by 1 will be considered an equation that is identity property.
Using the graph at right, where is the function increasing/decreasing? Where is the function concave up/down? Does this function have any
maxima or minima? Explain how you know
Answers
Explanation:
Start by calculating the first derivative of f(x) - use the quotient rule
ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2
f′=2x⋅(x2+3)−x2⋅2x(x2+3)2
f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤
What is g(x)?
10-
у
5
X
+
10
d
A
-5
-10
A. g(x) = -1x1
B. g(x) = -x
C. g(x) = -x2
D. g(x) = -2X
Answers
C
Step-by-step explanation:
This has a U like shape so it a parabola.
Parabola correlate with quadratic functions
[tex]y = {ax}^{2} + bx + c[/tex]
Since it Going down, the answer is C -x^2.
The function whose graph is given is g(x) = -x²
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that a graph, we need to find its function,
Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,
The equation of the parabola is given by y = ax²+bx+c
Therefore, out of the given options we can say that the function is y = x²
Hence the function whose graph is given is g(x) = -x²
Learn more about functions, click;
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GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answers
Answer:
y-4=4(x-1)
Step-by-step explanation:
Write the equation in slop-intercept form and get the slope and point from the equationy=4x
The slope of the equation = m = 4
when x=1
y=4(1)
y=4
we get point from the equation which is (1,4)
Now we write the equation in point-slope form
point-slope formula = y-y₁=m(x-x₁)
*plot the the point we get and the slope in the formula above
= y-4=4(x-1)
An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
Given that, the perimeter of a square is four times the length of one side.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y1) = m(x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The equation is y=4x
If the side length of a square is 1 centimeter, then y=4
So, the coordinate point is (1, 4)
The slope of an equation y=4x is 4
Put (x1, y1)=(1, 4) and m=4 in slope intercept form
That is, slope intercept form is y-4=4(x-1)
Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
To learn more about the slope intercept form visit:
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The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing angle measure?
Answers
Answer:
32
Step-by-step explanation:
72 + 76 = 148
180 - 148 = 32
I hope this helps!!
458 divided by 31 using compatible numbers
Answers
14.77
458 / 31 = 14.77
It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.
Answer: 14
Step-by-step explanation:
0 1 4
3 1 ⟌ 4 5 8
- 0
4 5
- 3 1
1 4 8
- 1 2 4
2 4
Solve for x: 2x + 12= 18 (5 points)
Answers
Answer:
X = 3
Step-by-step explanation:
2x = 12 = 18
x +6 = 9
x = 9-6
x = 3
Hope its right <3 Like if it helped
solve the equation 5-x=8
Answers
Answer:
x = -3
Step-by-step explanation:
1. 5 - x = 8
2. +x +x
3. 5 = x + 8
4. -8 -8
5. x = -3
5 - x = 8
-x + 5 = 8
Subtract 5 from both sides
-x + 5 = 8
-x+5-5 = 8-5
subtract the numbers ( simplify )
-x = 3
divide both sides
-x = 3
-x/-1 = 3/-1
simplify
x = 3/-1
x = -3
So therefore, your answer is x = -3
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answers
Answer:
P.E = mgh = 120N
Step-by-step explanation:
v² = u² - 2as
At the top, the velocity is = 0
0² = 4² - 2 x 10 x s
4² = 20s
s = 16/20
s = 0.8metres.
It rose only 0.8metres.
Therefore P.E = 15 x 10 x 0.8
:. P.E = 15 * 8
:. P.E = 120N
how important is the 3 candle of advent?
Answers
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.
A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?
Answers
Answer:
1.5 ft^2
Step-by-step explanation:
Since the length is divided into 4 parts,
Length of a small square = 2/4
= 0.5 ft
Hence,
Area of 1 small square = (0.5)(0.5)
= 0.25 ft^2
Area of shaded portion = Area of 6 small squares
= 6(0.25)
= 1.5 ft^2
Step-by-step explanation:
The area of the shaded cubes is 3 square feet.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given side²
We have,
Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:
(2/4)ft = 0.5ft.
Now,
Out of the 16 smaller squares, 6 smaller cubes are shaded.
Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.
The area of the shaded cubes is:
6 x 0.5ft² = 3ft²
Thus,
The area of the shaded cubes is 3 square feet.
Learn more about squares here:
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s.p. is 4000, profit is 25% than find c.p.please explain itt
Answers
[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]
[tex] \huge \sf \: Answer[/tex]
The cost price is 3200.
Hope you could get an idea from here
Doubt clarification- use comment section.
Find the slope of an equation f(x)=-3sqrt(x) at the point (9,-9)
Answers
Answer:
Slope is [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=-3\sqrt{x}[/tex]
Find the derivative using the product rule:
[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]
[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]
[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]
Plug in coordinates to find slope at that point:
[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]
Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].
Answer:
Step-by-step explanation:
f(x) = -3√x
f'(x) = -1.5/√x
f'(x) = -1.5/√9
f'(x) = -1.5/3
f'(x) = -0.5
Pls help I’ll brainlest ASAP
Answers
Answer:
Slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
rise over run = slope
Explanation-Rise over run= Rise 3 on the number line then run right 5
Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?
Answers
Answer:3x⁵
Step-by-step explanation: is equivalent to 3x⁵
A store sells laptops for $720 each. This price is 20 percent more than what it cost the store to buy each of them. Before the next model's release, store employees can purchase any remaining laptops at 23% off the store's cost. How much would it cost an employee to purchase one of these laptops at the sale? PLS HELP
Answers
It would cost an employee $443.52 to purchase one of these laptops at the sale.
The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.
Cost price = Selling price - 20% of cost price
Cost price = 720 - 20% * 720 = $576
At the release, the laptops are at 23% off the store's cost. Hence:
Price of laptop at release = 576 - 23% of 576
Price of laptop at release = $443.52
It would cost an employee $443.52 to purchase one of these laptops at the sale.
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Need help solving homework
Answers
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9
Hope this helped!
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5
8+9=10+7=19-2=2+15
12-7=3+2=14-9=1+4
A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts
Answers
Answer:
86493225
Step-by-step explanation:
Hope it helps
HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST
Answers
Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2
Answers
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19
A survey of 600 nurses yielded the following information: 427 were health club members, 325 were smokers, and 245 of the health club members were smokers. How
many of the 600 surveyed nurses were health club members or were smokers?
Answers
The number of surveyed nurses that were health club members or were smokers is 316.
Let the total number of nurses be 600 nursesn(U) = 600Let H be health club members, n(H) = 427Let S be smokers, n(S) = 325If 245 of the health club members were smokers, then n(HnS) = 245 members.
The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].
The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.
The number of surveyed nurses that were health club members or were smokers is 316.
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300000÷_________=300.
Answers
Answer:
1000
Step-by-step explanation:
Answer:
100000
Step-by-step explanation:
Pls help and show ur work ASAP I’ll add extra points
Answers
Answer:
Slope: 7/5 , Y-int: 1/5
Step-by-step explanation:
To find the slope, lets use the points (-3,-4) and (2,3)
The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.
(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)
We find the y-int in many ways but i will show two.
We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).
y-(-4)=7/5(x-(-3))
y+4=7/5x+21/5 (then move the 4 to the other side)
y=7/5x+1/5
The 1/5 is our y-int since we now have it in slope intercept form!
The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.
Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point
-4=(7/5)(-3)+b
-4=-21/5+b (move -15/7 to other side)
1/5=b !
we get the same answer I hope this helps sorry its long