Answer:
the position of a particle moving at a coordinate say(y) will satisfy the given conditions t=0 (say) if y=2sint-cost
Step-by-step explanation:
Clearly by the above we can see that if y=2sint-cost at t=0, then y=-1 because at t=0 sint vanishes and leaves us with only cost and at t=0 cos0=1
7x-14=3x+12
Solve for x!
Answer: x = 6.5
Step-by-step explanation:
[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]
Hope it helps <3
Answer:
x=26/4 (simply to 13/2)
Step-by-step explanation:
Add 14 to both sides to cancel out the negative 14
7x=3x+26
Subtract 3x from both sides to cancel the 3x
4x=26
x=26/4 or 13/2
I NEED HELP PLEASE, THANKS! :)
Answer:
Option B
Step-by-step explanation:
First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,
The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -
[tex]\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)[/tex]
The second option squares the denominators of the first option, so the foci should be the following -
[tex]Foci = ( - 12, 6 ), ( 6, 6 )[/tex]
Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,
Solution = Option B
How much of salt would you get if you evaporate all water from 20g of a 17% salt solution?
Answer:
3.4 grams
Step-by-step explanation:
The water 20g has salt solution of 17%.
If you were to evaporate all the water.
17% × 20
0.17 × 20 = 3.4
You would get 3.4 grams of salt.
The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of salt solution be = 17 %
The total amount of solution = 20g
The amount of salt while evaporating the solution is =
percentage of salt solution x total amount of solution
So , the equation will be
The amount of salt while evaporating the solution is = ( 17 / 100 ) x 20
The amount of salt while evaporating the solution is = 0.17 x 20
The amount of salt while evaporating the solution is = 3.4 grams
Therefore , the value is 3.4 grams
Hence , The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt
To learn more about equations click :
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Not sure how I would find what axis
Answer:
Quad 1
Step-by-step explanation:
What is the output of the following function for x = -4?
F(x) = 3x^5 + 4x^3 -x +11
Answer:
-3313
Step-by-step explanation:
3x^5 + 4x^3 - x +11
Put x as -4 and evaluate.
3(-4)^5 + 4(-4)^3 - (-4) + 11
-3072 + - 256 + 4 + 11
= -3313
What is the slope of this line?
Answer:
3/2
Step-by-step explanation:
We can find the slope of this line by using two points
(1,-3) and (3,0)
m = (y2-y1)/(x2-x1)
= (0- -3)/(3 -1)
= (0+3)/(3-1)
= 3/2
a sample of 49 observations is taken from a normal population with a standard deviation of 10. the sample mean is 55. Determine the 99% confidence interval for the population mean.
Answer:
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x =55
Standard deviation r = 10
Number of samples n = 49
Confidence interval = 99%
z-value (at 99% confidence) = 2.58
Substituting the values we have;
55+/-2.58(10/√49)
55+/-2.58(1.428571428571)
55+/-3.685714285714
55+/-3.69
= (51.31, 58.69)
Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)
How many 3-digit numbers can be formed if repetition is
allowed?
Answer: up to 999
Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.
Describe the possible echelon forms of a nonzero 2 x 2 matrix.
Answer:
we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.
-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]
-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]
->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]
I needed help with question #29. Thank you. Sorry the picture is a bit blurry.
Answer:
1.3 in
Step-by-step explanation:
If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.
Answer:
1.3 in
Step-by-step explanation:
Two spheres of the same outer diameter, one solid and the other hollow, are completely immersed in the water. We can affirm:
a) The hollow receives less push
b) The hollow receives more push
c) Both receive the same push
d) The solid receives less push
Answer:
c) Both receive the same push
Step-by-step explanation:
The buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.
Since both spheres displace the same amount of water, they have equal buoyancy forces.
A girl walks 800 m on a bearing of 129°.
Calculate how far: a east b south she is from
her starting point.
Answer: a) 503.2m
b) 621.6m
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo.
A represents her starting point.
CD = x = how far east she is from her starting point
BC = y = how far south she is from her starting point
Angle BAC = 180 - 129 = 51°
Angle ACD = angle BAC = 51° because they are alternate angles
To determine x, we would apply the cosine trigonometric ratio
Cos 51 = x /800
x = 800Cos51 = 800 × 0.629 = 503.2m
To determine y, we would apply the sine trigonometric ratio
Sin 51 = y /800
y = 800Sin51 = 800 × 0.777 = 621.6m
find the length of side A
Answer:
First option: 3
Step-by-step explanation:
To solve for side 'a', use the Pythagorean Theorem
a² + b² = c²
where "c" is always the longest side called the hypotenuse,
"a" and "b" are the two shorter sides called legs.
Substitute c = 5 (hypotenuse) and b = 4
a² + b² = c²
a² + (4)² = (5)²
Square the numbers you know
a² + 16 = 25
Subtract 16 on both sides to isolate 'a'
a² = 25 - 16
a² = 9
Find the square root on both sides
a = √9
a = 3
The answer is option A. ( i.e 3)... answer.
What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44
Answer:
work is shown and pictured
Answer:
(-2, 13)
Step-by-step explanation:
Or b on edge
Fill in the blanks. The margin of error ________ with an increased sample size and ________ with an increase in confidence level.
Answer:
none none and none
Step-by-step explanation:
what is the median price of rent for the university of oregon
Answer:
$11,450
Step-by-step explanation:
thats the median price according to Google
In Las Vegas, the hottest recorded temperature is 47°C, and the lowest recorded temperature is -13°C. What is the difference between the city's highest and lowest recorded temperatures?
The difference between the citys highest and lowest recorded temperatures is 60°.
A shape drawn on a square grid. more than one of the words listed can describe the shape select the words that can describe
Answer:
A and D
Step-by-step explanation:
Quadrilateral is a four sided figure
Parallelogram is a quadrilateral with two pairs of parallel sides
Write the inverse of g(x)=x²-7
Answer:
[tex]\± \sqrt{x + 7}[/tex]
Step-by-step explanation:
y = x² - 7
Add 7 to both sides.
y + 7 = x²
Take square root on both sides.
±√(y + 7) = x
Switch variables.
±√(x + 7) = y
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds. Round to four decimal places.
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 200, \sigma = 50[/tex]
Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{220 - 200}{50}[/tex]
[tex]Z = 0.4[/tex]
[tex]Z = 0.4[/tex] has a pvalue of 0.6554
X = 170
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{170 - 200}{50}[/tex]
[tex]Z = -0.6[/tex]
[tex]Z = -0.6[/tex] has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
(a) The card drawn is a king.
(b) The card drawn is a face card.
(c) The card drawn is not a face card.
Answer:
(a) [tex]\frac{1}{13}[/tex]
(b) [tex]\frac{3}{13}[/tex]
(c) [tex]\frac{10}{13}[/tex]
Step-by-step explanation:
The probability of an event B occurring is given by;
P(B) = [tex]\frac{n(E)}{n(S)}[/tex]
Where;
P(B) = probability of the event B
n(E) = number of favourable outcomes
n(S) = total number of events in the sampled space.
From the question, the card is drawn randomly from a standard 52-card deck. The probability of
(a) drawing a "king" card is analyzed as follows.
Let the event of drawing the "king" card be B.
In a standard 52-card deck, the number of cards that are of type king is 4. i.e 1 from the diamond pack, 1 from the spade pack, 1 from the heart pack and 1 from the club pack.
Therefore, the number of favourable outcomes is 4, while the total number of events in the sampled space is 52.
The probability of drawing a "king" card, P(B) is;
P(B) = [tex]\frac{4}{52}[/tex]
P(B) = [tex]\frac{1}{13}[/tex]
(b) drawing a "face" card is analyzed as follows.
Let the event of drawing the "face" card be B.
In a standard 52-card deck, a face card can either be a Jack, Queen or a King. There are 4 Jack cards, 4 Queen cards and 4 King cards in the deck. The number of cards that are of type face is 12.
Therefore, the number of favourable outcomes is 12, while the total number of events in the sampled space is 52.
The probability of drawing a "face" card, P(B) is;
P(B) = [tex]\frac{12}{52}[/tex]
P(B) = [tex]\frac{3}{13}[/tex]
(c) drawing a card that is not a "face" is analyzed as follows;
The sum of the probability of drawing a face card and the probability of not drawing a face card is always 1.
Let the event of drawing a "face" card be B and the event of not drawing a "face" card be C.
P(B) + P(C) = 1
P(C) = 1 - P(B)
From (b) above, the P(B) = [tex]\frac{3}{13}[/tex]
Therefore,
P(C) = 1 - [tex]\frac{3}{13}[/tex]
P(C) = [tex]\frac{10}{13}[/tex]
Jennifer and Stella are cooks at a restaurant that serves breakfast. On a particular day, the two of them tracked the number of pancakes they cooked. The number of pancakes that Jennifer cooked is represented by the following function, where x is the number of hours. The number of pancakes that Stella cooked is shown by the graph below. Who cooked more pancakes in 8 hours?
Answer:
Stella
Step-by-step explanation:
I guessed and got it right
Eight times the difference between a number and six is equal to four times the number. What’s the number?
Answer:
12
Step-by-step explanation:
Given:
Let the number be x.
According to the question,
8(x-6)= 4 x
8 x-48=4 x
8 x-4 x= 48
4 x=48
x=48/4
x=12
Thank you!
What is a square root
which of the following in order from the least to the greatest?
.321,.33,.4
.598,.409,.554
.289,.305,.301
.701,.698,.811
Answer:
.321,.33,.4
Step-by-step explanation:
the point is like negative it decreases with
the big number is consider the smallest with the point while without the point the big number remains
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4. What is the length of the side opposite Angle B? 3 units 4 units 5 units 6 units
The side opposite to angle B is the side that does not contact with angle B.
In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.
Therefore, the lenght of the side opposite to angle B is 4 units.
Answer:
B 4Units
Step-by-step explanation:
Edg 2020 or maybe 2022
What is the simplified form of the inequality below? S - 7 < 3
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
i hope this will help you :)
Answer:
s-7<3
in order to find the value adding 7 on both sides
s-7+7<3+7
s<10
Step-by-step explanation:
Do the table and the equation represent the same function ? Y=390+11(x)
Not exactly
The values of the table are determined by the equation
What are the solutions to log (x2+8)= 1 +log (x)?
Answer:
Step-by-step explanation:
log(x²+8)=1+log(x)
log(x²+8)-log(x)=1
[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]
Find the indicated limit. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot Select the correct choice below and fill in the answer box within your choice. A. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot = nothing (Type an exact answer, using radicals as needed.) B. The limit does not exist.
Answer:
[tex]3\sqrt{6}[/tex]
Step-by-step explanation:
We are to determine the limit below.
[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]
Plug in 8 into the function.
[tex]\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}[/tex]