9514 1404 393
Answer:
7,6 cm
Step-by-step explanation:
The law of sines can be used to find the length AB.
AB/sin(C) = BC/sin(A)
A = 180° -48° -52° = 80°
AB = BC·sin(C)/sin(A) = 12,8·sin(52°)/sin(80°)
The sine function can be used to find AD from AB.
AD/AB = sin(48°)
AD = AB·sin(48°) = 12,8·sin(48°)sin(52°)/sin(80°)
AD ≈ 7,61 cm
__
The dimension of interest is ha in the attachment, the height from vertex A.
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
Answer:
1/4
Step-by-step explanation:
12/4= 3
Each paid $3 but as a fraction 3/12=1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step
12÷4=3
3/12=1/4-each pay this fraction
***URGENT***
PLEASE HELP ME ASAP, ITS DUE TODAY!!!
............................................................
T is the point on AB such that AT:TB = 5: 1. Show that ot is parallel to the vector a + 2b.
Step-by-step explanation:
SO, OT is parallel to the vector a+2b
Below is a geometric sequence. 3, 9, 27, 51, ... (b) what is the common raters if the geometric sequence?
PLEASE HELPPPPPPPPPPPPP
Step-by-step explanation:
The following configurations are evaluated, as given or stated within the interrogate:
P(Q) = 0.6
P(R) = 0.9
When the variable constant of Q and R transition into independent events within the function notation, the product of the individual values, as equated to those particular independent variables, is required.
For example:
If P(Q) = 0.6 and P(R) = 0.9, and Q and R fuse, then find the product of 0.9 and 0.6 is obligated:
0.9 * 0.6 = 0.54
Thus, given the independent events, P(Q and R) is equivalent to 0.54.
ASK YOUR SIR BRO I DONT KNOW
The table shows how surveyed drivers obtained their current vehicle and how they plan to get their next vehicle.
A 2-way table. A 4-column with 4 rows titled Plan for Next Vehicle. Column 1 has entries Current vehicle, bought new, bought used, leased total. Column 2 is labeled Buy new with entries 39, 19, 5, 63. Column 3 is labeled Buy used with entries 6, 146, 2, 154. Column 4 is labeled Lease with entries 6, 9, 18, 33. Column 5 is labeled Total with entries 51, 174, 25, 250.
What percent of drivers surveyed bought their current vehicle new and will buy a new vehicle again next time? Round your answer to the nearest whole number; you do not need to enter the percent symbol.
I think it's 16. Can someone help check it?
Answer:
The answer is 16!
EDGE2021
Answer:
16%
Step-by-step explanation:
edge 2023
A triangle has base of 7 1/8 feet and height 6 1/4 feet. Find the area of a triangle as a mixed number.
Answer: The area is 22 17/64.
Step-by-step explanation:
base = 7 1/8 = 57/8
height = 6 1/4 = 25/4
area = 1/2*b*h
= 1/2*57/8*25/4
= 1425/64
= 22 17/64
14. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
A. y = x + 6
B. y = x - 6
C. y = X
D. y = -x
Answer:
D.
Step-by-step explanation:
2=-2,3=-3
2²=-2²,3²=3²
Which of the following expressions are equivalent?
I. 5a6
II. 30a
III. a6 + a6 + a6 + a6 + a6
IV. 6a5
Answer:
5а⁶=а⁶+а⁶+а⁶+а⁶+а⁶
~~~~~~~~
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)= sqrt of x [0,9]
c =
Answer:
9/4
Step-by-step explanation:
f(x) is continuous and differentiable on (0,9).
We want to find c using the following equation.
f'(c)=(f(9)-f(0))/(9-0)
This will require us to find f'(x) first.
f(x)=sqrt(x) is the same as f(x)=(x)^(1/2)
Using power rule to differentiate this gives f'(x)=(1/2)(x)^(1/2-1) or simplified f'(x)=(1/2)x^(-1/2) or f'(x)=1/(2x^(1/2)).
So we want to solve:
(1/2)c^(-1/2)=(f(9)-f(0))/(9-0)
Simplify denominator on right:
(1/2)c^(-1/2)=(f(9)-f(0))/9
This will require us to find f(9) and f(0).
If f(x)=sqrt(x), then f(9)=sqrt(9)=3 and f(0)=sqrt(0)=0.
So we have the following equation so far:
(1/2)c^(-1/2)=(3-0)/9
Simplify numerator on right:
(1/2)c^(-1/2)=3/9
Multiply both sides by 2:
c^(-1/2)=6/9
Raise both sides to the -2 power:
c^(1)=(6/9)^(-2)
Note c^1=c:
c=(6/9)^(-2):
Note negative exponent means to find reciprocal of base to change exponent to opposite
c=(9/6)^2
Apply the second power:
c=81/36
Reduce by dividing top and bottom by 9:
c=9/4
This means the slope of the tangent to the curve f at x=9/4 is the same value as the slope of the secant line going through points (0,0) and (9,3).
Also 9/4 is between 0 and 9... According to the theorem we were suppose to get a value c between x=0 and x=9.
Confirmation:
Slope of the secant line is (3-0)/(9-0)=3/9=1/3.
Slope of the tangent line to curve f at x=9/4.
f'(x)=(1/2)x^(-1/2)
f'(9/4)=(1/2)(9/4)^(-1/2)
f'(9/4)=(1/2)(3/2)^(-1)
f'(9/4)=(1/2)(2/3)
f'(9/4)=1/3
They are indeed equal values (talking about the 1/3 from the secant and the tangent.)
can somboby help me please
Answer:
x = 8
Step-by-step explanation:
The question had specified that x is equal to 8.
x=8
explanationsplease mark this answer as brainlist
Use the remainder term to find the minimum order of the Taylor polynomial, centered at 0, that is required to approximate the following quantity with an absolute error no greater than 10^-2.
√1.06.
n>= __________
Answer:
n ≥ 3
Step-by-step explanation:
Applying the remainder term in evaluating the minimum order of the Taylor polynomial
absolute error ≤ 10^-2
[tex]\sqrt{1.06}[/tex]
∴ n ≥ ?
The remainder term is the leftover term after computation ( dividing one polynomial with another )
attached below is the detailed solution
The minimum order of the Taylor polynomial, n≥3
What is Taylor polynomial?Taylor polynomial is a series of functions that has an infinite sum of terms that are expressed in terms of the function's derivatives.
[tex]\rm f(a)+\frac{f'(a)}{1!} (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +....,[/tex]
Applying the Taylor series polynomial, the minimum order of the Taylor polynomial, centered at 0
[tex]\rm f(0)+\frac{f'(0)}{1!} (x-0)+\frac{f''(0)}{2!} (x-0)^{2} +....,[/tex]
f(x) = [tex]\sqrt{x+1}[/tex]
[tex]f'(x)=\frac{1}{2}[/tex]
[tex]f''(x)=3/8[/tex]
substituting in the Taylors series
T(x) = [tex]1+\frac{x}{2} -\frac{x^{2} }{8} +\frac{x^{3} }{16}[/tex]......
T(0.06) = [tex]1+\frac{0.06}{2} -\frac{0.06^{2} }{8} +\frac{0.06^{3} }{16}...[/tex]
T(0.06) =1.03
f(0.06) =
[tex]\sqrt{0.06+1}\\= 1.03[/tex]
Therefore, the minimum order of the Taylor polynomial, n≥3
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Solve the equation.
1. For parentheses:
Distribute
4-2(x+7) = 3(x+5)
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4. To start over:
Reset
Answer:
x = -5
Step-by-step explanation:
4-2(x+7) = 3(x+5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x =3x+2x+15
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
PLEASE ANSWER QUICK ITS BEEN 1 HOUR
Which of the following is a unit rate?
A. 4 Feet / 1 Second
B. 120 Miles / 2 Hours
C. $1.25 / 4 oz
D. 340 Miles / 6 Gallons
9514 1404 393
Answer:
A. 4 feet/(1 second)
Step-by-step explanation:
A "unit" is one of something. A unit rate is a rate that has 1 of something in the denominator. Look down the list at the denominators and find the value that has 1 as a denominator:
[tex]\dfrac{4\text{ feet}}{1\text{ second}}[/tex]
Find the length of X
Answer:
[tex] x = 8\sqrt{2} [/tex]
Step-by-step explanation:
Leg = x
Hypotenuse = 16
[tex] x\sqrt{2} = 16 [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16\sqrt{2}}{2} [/tex]
[tex] x = 8\sqrt{2} [/tex]
Graph the inequality in the coordinate plane. y<6
Answer:
Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)
Step-by-step explanation:
1
What is the perimeter of a rectangle
whose length is 5 feet and whose width
is 3.5 feet?
O 8.5 ft.
O 16.5 ft.
O 17 ft.
O 17.5 ft.
Answer:
17ft
Step-by-step explanation:
5*2 + 3.5*2=17
A population of deer in Florida grows according to a logistic model, with r = 0.17 and K = 10,000. At what population size is the per capita population growth rate the highest? Group of answer choices N = 1000 N = 5000 N = 8000 N = 10000
Answer:
N = 1000
Step-by-step explanation:
The population growth of species per capita of any geographical can be computed by using the formula:
[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]
here;
N = population chance
T = time taken
K = carrying capacity
r = the constant exponential growth rate
From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:
As such, when the population chance = 1000
[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]
[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]
[tex]\dfrac{dN}{dT}= 153[/tex]
At N = 5000;
[tex]\dfrac{dN}{dT}= 85[/tex]
At N= 8000;
[tex]\dfrac{dN}{dT}= 34[/tex]
At N = 10000
[tex]\dfrac{dN}{dT}= 0[/tex]
What is the median to 17,19, 20, 21, 22, 25, 29, 30, 32, 35
Answer:
23.5
Step-by-step explanation:
The median is the middle value when the numbers are put in order from smallest to largest
17,19, 20, 21, 22, 25, 29, 30, 32, 35
There are 10 numbers
17,19, 20, 21, 22, 25, 29, 30, 32, 35
The middle is between 22 and 25
(22+25)/2 = 47/2 =23.5
Write a linear equation in point-slope form for the line that goes through (1, -3) and (3,9).
A. y+3 = -6(x-1)
B. y- 9 = 6(x - 3)
C. y- 9 = 2(x-3)
D. y + 3 = 6(x-1)
I need to know this answe ASAP
Answer:
The function is always increasing
Step-by-step explanation:
To be increasing, the y value needs to be getting bigger as x gets bigger
This is true for all values of x
The function is increasing for all values of x
Can anyone help please?
Answer:
part 1:
a) After 37.72 years, there will be $270,183.29421
b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)
part 2:
38 years
Step-by-step explanation:
a)
30000(1.06)^t
t=37.72
30000(1.06)^37.73 = 270,183.29421
b)
30000(1.06)^t
t=11.9
30000(1.06)^11.9 = 60,015.17148
part 2)
37.72 rounded to the nearest tenth is 38
... select this as the brainliest please!!...
The measure of angle tis 60 degrees.
What is the x-coordinate of the point where the
terminal side intersects the unit circle?
1
2
O
O
Isla Isla
2
DONE
Answer:
Step-by-step explanation:
Not a clear list of options and/or reference frame
Probably 0.5 if angle t is measured from the positive x axis.
Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find theprobability that more than 4 are wearing their seat belts.
Answer:
%17.80
Step-by-step explanation:
17.8% is the probability that more than 4 are wearing their seat belts.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Police estimate that 25% of drivers drive without their seat belts.
If they stop 6 drivers at random we need to find the probability that more than 4 are wearing their seat belts.
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not.
he drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so P=0.75
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=6)=C_{6,6} 0.75^{6} (1-0.75)^{0} =0.1780[/tex]
Hence, 17.8% is the probability that more than 4 are wearing their seat belts.
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The one-to-one functions g and h are defined as follows.
Answer:
Step-by-step explanation:
The one-to-one functions g and h are defined as follows.
g={(-7,-6), (-5,4), (4,-7)(7,6)}
h(x)= 3x-14
Find the following.
g-1(4)=
"g-1(4)" just says "Find the pair of coordinates that has 4 for its
y-coordinate, and the answer is its x-coordinate". So we look through those
and find (-5,4) is the only one of those up there that has a 4 for it's y-
coordinate, and so its x-coordinate is -5 and we write:
g-1(4)=-5
The Required value for the function are:
1. g⁻¹(-3) = -1.
2. h⁻¹(x) = (x - 2) / 7.
3. (h o h⁻¹)(0) = -16/49.
1. g⁻¹(-3):
Looking at the pairs in g, we can see that (-1, -3) is the pair where the output is -3.
Therefore, g⁻¹(-3) = -1.
2. h⁻¹(x):
To find h⁻¹(x), we need to solve the equation h(y) = x for y.
The given function h(x) = (x - 2) / 7.
So, let's substitute y for h⁻¹(x):
(x - 2) / 7 = y
x - 2 = 7y
Now, solve for y by dividing both sides by 7:
y = (x - 2) / 7
Therefore, h⁻¹(x) = (x - 2) / 7.
3. (h o h⁻¹)(0):
To find (h o h⁻¹)(0), we need to evaluate the composition of h and h⁻¹ at 0.
First, we find h⁻¹(0):
h⁻¹(0) = (0 - 2) / 7 = -2/7
Now, we substitute h⁻¹(0) into h:
h(h⁻¹(0)) = h(-2/7) = (-2/7 - 2) / 7 = (-2 - 14) / 49 = -16/49
Therefore, (h o h⁻¹)(0) = -16/49.
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If total sales are $54000 your food service total is 42% of your total sales what is your dollar target for food service
Answer:
Your dollar target for food service is $22,680
Step-by-step explanation:
It is given in the question that total sales are = $54,000
your food service is 42% of your total sales = 42% × $54,000
= × 54,000
= 0.42 × 54,000
= $22,680
An ice cream store determines the cost of its sundaes by using the formula C = 0.50s + 0.35n + 0.25t, where C is the total cost in dollars, s is the number of scoops of ice cream, n is the number of scoops of nuts, and t is the number of liquid toppings. A Nutty Sundae costs $3.55. It has 3 scoops of nuts and 2 different liquid toppings. How many scoops of ice cream are in this sundae?
Answer:
4 scoops of ice cream
Step-by-step explanation:
Plug in the total cost, number of scoops of nuts, and number of liquid toppings into the formula. Then, solve for s:
C = 0.50s + 0.35n + 0.25t
3.55 = 0.50s + 0.35(3) + 0.25(2)
3.55 = 0.50s + 1.05 + 0.5
3.55 = 0.50s + 1.55
2 = 0.50s
4 = s
So, the sundae had 4 scoops of ice cream.
Frances bought a new dress that was discounted by 24%. she used the following expressions to find the price of the dress after the discount was applied
Answer:
[tex]0.76d[/tex]
Step-by-step explanation:
Given
[tex]Formula = d - (0.24)d[/tex]
Required
Equivalent expression
We have:
[tex]Formula = d - (0.24)d[/tex]
Open bracket
[tex]Formula = d - 0.24d[/tex]
[tex]Formula = 0.76d[/tex]
Solve for x
X/6 = 10
A) X = 4
B) X = 10
C) X = 16
D) X = 60
hi
x/6 = 10
In a equation , you can use every math operation you know as long as you do the same thing on both sides.
Here we have x/6 = 10
But what I want is x .
Here X is split in 6. So I 'm going to multiplicate all by 6 to find the original amount of X
In bold operation that are often not written but that you must understand to do that kind of exercices.
So : x/6 = 10
(x/6) *6 = 10 *6
6x/6 = 60
x = 60
Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Answer:
Sin X = 12 / 37
Step-by-step explanation:
Given a right angled triangle, we are to obtain the Sin of the angle X ;
Using trigonometry, the sine of the angle X , Sin A is defined as the ratio of the angle opposite X to the hypotenus of the right angle triangle.
In the right angle triangle :
Sin X = opposite / hypotenus
Opposite = 12 ; hypotenus = 37
Sin X = 12 / 37
How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?
Answer:
3.75 hours
Step-by-step explanation:
d = rt
where d is the distance, r is the rate and t is the time
45 = 12 t
Divide each side by 12
45/12 = t
3.75 hours = t