Answer:
B = 75°
Step-by-step explanation:
Using the Sine rule:
a / sin A = b / sin B = c / Sin C
a / sin A = b / sin B
20 / sin 48 = 26 / sin B
Cross multiply :
Sin B * 20 = sin 48 * 26
Sin B = (sin 48 * 26) / 20
Sin B = 0.9660882
B = sin^-1(0.9660882)
B = 75.036
B = 75°
What is the least number of bottles that can be packed in 4-packs or 6-packs without a remainder?
Answer:
4 bottles i think but you should check with someone else too
Answer:
4 bottles i think but you should check with someone else too
Step-by-step explanation:
A kite is flying 92 feet off the ground, and it’s string is pulled taut. The angle of elevation of the kite is 63°. Find the length of the string. Round your answer to the nearest 10th
Answer:
26 × 35 = 910=890 I multiply the 26 and 35 together and got 910 and then I round off to nearest 10th and got 900
So the awnser is 890m
Why is it important for the leading coefficient
to be nonzero?
Answer:
Because if it is zero, then it is multiplied the variable and it will be zero. For example if I had 0x(squared) + x, it would just be x because zero times any number is zero. Looking at the problem, I would assume it was quadratic because it had x squared, but it isn't because there are 0 x squared values.
Step-by-step explanation:
How many solutions would the system y=3x^2-6x+5
y=-x^2+3 have
Answer:
2
Step-by-step explanation:
The solutions are:
(1/2,11/4) and (1,2)
If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?
The differential equation
dy/dx = x sin(x ²) / y
is separable as
y dy = x sin(x ²) dx
Integrate both sides:
∫ y dy = ∫ x sin(x ²) dx
∫ y dy = 1/2 ∫ 2x sin(x ²) dx
∫ y dy = 1/2 ∫ sin(x ²) d(x ²)
1/2 y ² = -1/2 cos(x ²) + C
Solve for y implicitly:
y ² = -cos(x ²) + C
Given that y = 1 when x = 0, we get
1² = -cos(0²) + C
1 = -cos(0) + C
1 = -1 + C
C = 2
Then the particular solution to the DE is
y ² = 2 - cos(x ²)
Solving explicitly for y would give two solutions,
y = ± √(2 - cos(x ²))
but only the one with the positive square root satisfies the initial condition:
√(2 - cos(0²)) = √1 = 1
-√(2 - cos(0²)) = -√1 = -1 ≠ 1
So the unique solution to this DE is
y = √(2 - cos(x ²))
Find the slope of each line -2 -2, +2 +2
Help needed
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.
Answer:
p= 8000n-8000c
Step-by-step explanation:
8000
p= n - c
or
p= 8000n-8000c
Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.
Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold
tính z=(〖(1+i)〗^10-1)/(〖(1+i)〗^10+1)
It looks like the given complex number is
z = ((1 + i )¹⁰ - 1) / ((1 + i )¹⁰ + 1)
Let w = 1 + i, so we rewrite
z = (w ¹⁰ - 1) / (w ¹⁰ + 1)
Since w * = 1 - i, we get w w * = (1 + i ) (1 - i ) = 1 - (-1) = 2. Multiply z by ((w *)¹⁰ + 1) / ((w *)¹⁰ + 1). This gives
z = (2¹⁰ - 1 + w ¹⁰ - (w *)¹⁰) / (2¹⁰ + 1 + w ¹⁰ + (w *)¹⁰)
Now, writing w in polar form yields
w = √2 exp(i π/4)
==> w ¹⁰ = (√2)¹⁰ exp(i 10π/4) = 2⁵ exp(i 5π/2) = 2⁵ i
Similarly,
w * = √2 exp(-i π/4)
==> (w *)¹⁰ = -2⁵ i
So we have
w ¹⁰ + (w *)¹⁰ = 0
w ¹⁰ - (w *)¹⁰ = 2 × 2⁵ i = 2⁶ i
Then we end up with
z = (2¹⁰ - 1 + 2⁶ i ) / (2¹⁰ + 1) = (1023 + 64i ) / 1025
Given the axle below, how much force must be applied to the handle to lift the weight?
Equation:
F = (w * da) / dh
F = (400 * 2) / (30)
F = (800) / (30)
F = 26.7 or 27 lb
What’s the answers?
Answer:
Step-by-step explanation:
1). If the given triangles are similar their corresponding sides will be proportional.
[tex]\frac{8}{a}= \frac{8}{12}=\frac{5}{b}[/tex]
[tex]\frac{8}{a}= \frac{8}{12}[/tex]
[tex]a=\frac{12\times 8}{8}[/tex]
[tex]a=12[/tex]
[tex]\frac{8}{12}=\frac{5}{b}[/tex]
[tex]b=\frac{5\times 12}{8}[/tex]
[tex]b=7.5[/tex]
2). By using proportional relationship in the similar polygons,
[tex]\frac{3}{c}=\frac{6}{8}[/tex]
[tex]c=\frac{8\times 3}{6}[/tex]
[tex]c=4[/tex]
d = 8
c = e = 4
3). If the pentagons are similar their corresponding sides will be proportional.
[tex]\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}[/tex]
[tex]\frac{6}{g}=\frac{8}{18}[/tex]
[tex]g=\frac{18\times 6}{8}[/tex]
[tex]g=13.5[/tex]
[tex]\frac{8}{18}=\frac{10}{h}[/tex]
[tex]h=22.5[/tex]
[tex]\frac{8}{18}=\frac{6}{f}[/tex]
[tex]f=13.5[/tex]
[tex]\frac{8}{18}= \frac{8}{I}[/tex]
[tex]I=18[/tex]
Your shop employs seven people. Today two people are sick. What fraction represents the employees who are sick
Answer:
2/7 of represents employees who are sick
Step-by-step explanation:
Question:
What fraction represents the employees who are sick
Total People = 7
sick people =2
numerator/denominator
2/7
Solve -3(2-5w)=9w+66 for w
Answer:
w = 12
Step-by-step explanation:
-3(2-5w) = 9w + 66
Complete the parenthesis:
-6 + 15w = 9w + 66
Switch the numbers and group them with like terms;
15w - 9w = 66 + 6
6w = 72
w = 12
Check answers if you want to be sure
A company that produces fine crystal knows from experience that 15% of its goblets havecosmetic flaws, while the remaining 85% are flawless.(a) (8 points) If eight goblets are selected at random, what is the probability that exactly twohave flaws
Answer:
The probability that exactly two have flaws is P (x=2) = 0.2376
Step-by-step explanation:
Here
Success= p= 0.15
Failure = q= 0.85
total number= n= 8
Number chosen = x= 2
Applying the binomial distribution
P (x=x) = nCx p^x(q)^n-x
P (x=2) = 8C2 0.15 ²(0.85)^8
P (x=2) = 0.2376
The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15
Find the parity of the following if a and b have different parities.
(5a - 3b)(a² + 5b) + 2
9514 1404 393
Answer:
odd
Step-by-step explanation:
If 'a' and 'b' have different parity, the result has odd parity.
__
Assume a=odd, b=even
(5·odd -3·even) = odd
(odd^2 +5·even) = odd
(odd)(odd) +2 = odd
__
Assume a=even, b=odd
(5·even -3·odd) = odd
(even^2 +5(odd)) - odd
(odd)(odd) +2 = odd
_____
The attached verifies this with numbers.
what is 24 meters x 6
Answer:
144 meters
Step-by-step explanation:
24 * 6 is 144
Hope this helps:)
Answer:
144 meters
Step-by-step explanation:
24 meters x 6 meters = 144 meters
In a right triangle, the hypotenuse is 12 cm and one leg is 7 cm. What is the length of the other leg? A. 11.7 cm B. C. 12.7 cm B. 9.7 cm D. 7.9 cm
Answer:
B. 9.7
Step-by-step explanation:
√12²-7²=√144-49=√95=9.7
Dale is following this recipe to make shortbread fingers.
Dale uses 100 g of butter.
How many shortbread fingers does he make? Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
Answer:
You need the recipe to solve for the answer
Help with these two and explain pls and thankyouuu
Answer:
3-3x and 3
Step-by-step explanation:
f(x) = 3x-3
g(x) = -x
g(f(x)) in your g(x) substitute x with f(x)
g( f(x) ) = g( 3x-3) = -(3x-3) = -3x+3
is the the second choice from top because -3x+3 is the same with 3 -3x
g(f(x)) =3-3x
g(f(0)) always work from inside first, so first find f(0) than g(f(0))
f(0) = f(x=0) = 3*0-3 = -3
Now we do the g(f(0)) = g( -3) is the same as
g(x) except that we substitute x for -3, g(x= -3) = -(-3) =3
g(f(0))=3
*an easier way to find the answer for the second problem would have been that we knew that f(g(x) ) = 3-3x so f(g(0)) =3-3*0 = 3
the volume of the cube is 8 ft^3. what the length of each side?
Answer:
2 feet
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
Answer:
[tex]2 feet[/tex]
The Solution is:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
A brand new car was purchased for $28,000 in year 2000. The car value has dropped to
$20,000 in year 2003. What could be considered as the rate of depreciation?
(Round your answers to the nearest 10th.)
Answer:
The rate of depreciation is 11.87% per year.
Step-by-step explanation:
Given that a brand new car was purchased for $ 28,000 in year 2000, and the car value has dropped to $ 20,000 in year 2003, to determine what could be considered as the rate of depreciation, the following calculation must be performed:
20,000 x (1 + X / 1) ^ 3 = 28,000
20,000 x X ^ 3 = 28,000
20,000X ^ 3 = 28,000
X = 1.1187
Therefore, the rate of depreciation is 11.87% per year.
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%
Answer:
D,p
Step-by-step explanation:
whattttttt ,why is there no option in D
The Probability that a data value is between 27 and 28 is 9.3%.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,
Here, mean of the data is 26
P(0 ≤ x - μ ≤ σ/2) = 0.195
P(0 ≤ x - μ ≤ σ/4) = 0.0987
P(σ/4 ≤ x - μ ≤ σ/2) = 0.093
Thus, the Probability that a data value is between 27 and 28 is 9.3%.
Learn more about Probability from:
https://brainly.com/question/11234923
#SPJ2
Graph the solution to the following inequality on the number line.
(x+5)(x - 2)>0
-
Step-by-step explanation:
[tex](x + 5)(x - 2) \geqslant 0[/tex]
[tex]x + 5 = 0 \\ x \geqslant - 5 \\ x - 2 = 0 \\ x \geqslant 2[/tex]
The solution of the inequality is x ≥ -5 and x ≥ 2.
The graph of the number line is given in the attached image.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality (x+5)(x-2) ≥ 0
Solving further,
(x+5) ≥ 0 and (x -2) ≥ 0
x ≥ -5 and x ≥ 2
Therefore, the solution of the inequality is x ≥ -5 and x ≥ 2.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ2
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?
HELP ME MATCH THESE PLEASEEEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES PLEASE
Answer:
-4 + 8 = 4
5 - 8 = -3
8 + (-5) = 3
-7 + 5 = -2
-5 + 4 = -1
HELPP PLEASEE TELL ME WHICH IS RIGHT AND WRONG AND HELP KE EXPLAIN I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILE WOULD BE DEEPLY APPRECIATED
Answer:
Orca Correct, Sea Star Wrong. Heart it if it was helpful :D
Step-by-step explanation:
11-4=7. Orca correct.
Sea star...11-4=7
Wrong its 7, not -7
Answer:
The orca is right and the sea star is wrong.
If you were to add 11 to -4, it would no longer be a negative number.
You take four out of 11 which would bring it to a zero. There would be 7 left, therefore the answer being a positive 7.
Which expression is equivalent.
Option A is the correct answer
Answer:
ok so the correct answer is A!
Step-by-step explanation:
hope it helped!
have a nice day.
find the values of x and y
Answer:
y = 60°
x = 12
Step-by-step explanation:
Because all sets of opposite sides are parallel, opposite angles are equal, and opposite sides have the same length.
help me I got 25 missing assignments
[tex]0.5 - ( - 10.5 \times 5) + 40.5[/tex] = [tex]\boxed{93.5}[/tex]
A. 93.5 ✅
Step-by-step explanation:-
[tex]0.5 - ( - 10.5 \times 5) + 40.5 \\ = 0.5 - ( - 52.5) + 40.5 \\ = 0.5 + 52.5 + 40.5 \\ = 93.5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Answer:
93.5
Step-by-step explanation:
See the steps below:)
General Definition: Proceeding, made, or occurring without definite aim, reason, or pattern. For example: "I walked around the store and randomly picked a person to talk to". Building Trades: lacking uniformity of dimensions. For example, random pieces of wood. Statistics Definition: Selecting individual people or objects from a population where every person or object in the population has an equal probability of being chosen. Write a small paragraph discussing how the "general" and "building trades" definitions of random differ from the "statistics" definition of random. Also discuss why these definitions create confusion for statistics students. For example, many people out in the world say they collected "random data" when it is not random data. In fact they do not even know what random data is.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In the first example, a team walks into a bar & chooses the random person to speak, in which situation, the woman who walks to the club has made a choice, he has selected a people with and who he wants to speak, it is a subjective preference. A choice cannot be random in statistical since it has a subjective preference. The first interpretation may therefore be randomized in general, but not arbitrary in statistics.
In the second example, i.e., the definition of Building tracks Example, a randomized wood piece is an identical piece or is different in size from other pieces. In this, piece wood has been differentiated by one's looks so, when asked to pick a random piece, we are likely to choose a non-uniform part rather than the uniform one. It is a random racial bias, so again in constructing pursuits the second definition could be random, but not a discrete one in stats.
In the identification numbers of random, we intentionally state that equal probability for each unit in the population of inclusion in the sampling. The definition essentially includes all sorts of predilection, and therefore refers to true allegiance, when we neither make that choice nor want to choose a separate unit.