Mike is the best shooter than Jason mike Jim or dave .
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
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20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.
Answer:
Step-by-step explanation:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
I NEED HELP// Which of the following correctly represents the process for calculating net income?
A. gross pay − deductions = net income
B. gross pay + deductions = net income
C. gross pay × deductions = net income
D. gross pay ÷ deductions = net income
Answer:
I believe it should be A
Step-by-step explanation:
Answer:
Answer:A. gross pay − deductions = net income
Step-by-step explanation:
which linear equation has a slope of 1/2 and a y-intercept at (0,0)
a. y= -1/2x+2
b. x -2y=0
c. y=0
d. 2x+y=0
Answer:
B
Step-by-step explanation:
An appliance store sells 373 vacuum
cleaners in the month of August. If it
sells 300 more vacuum cleaners in the
next month, how many vacuum
cleaners does it sell in September?
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
According to the function transformations, the equation of function g(x) is \(g(x) = 5^x - 10\)
How to determine the equation of g(x)?The complete question is in the attachment
The function f(x) is given as:
\(f(x) = 5^x\)
From the attached graph, we can see that the function f(x) is 10 units down to get g(x).
This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)
This transformation is represented by:
(x, y) => (x, y - 10)
So, we have:
g(x) = f(x) - 10
Substitute \(f(x) = 5^x\)
\(g(x) = 5^x - 10\)
Hence, the equation of function g(x) is \(g(x) = 5^x - 10\)
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Kevin worked for 13 hours each day for 9 days. Then the next day he worked 6 hours. How many hours did Kevin work in all?
Answer:
123 hours
Step-by-step explanation:
13x9= 117 hours
117+6= 123 hours
A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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lf (x + k) is a factor of f(x), which of the following must be true? F(k)=0 f(-k)=0 a root of f(k) is x=k a y intercept of f(k) is x=-k
Answer:
a root of f(k) is x=k
Step-by-step explanation:
(x + k) is a factor of f(x)
This means that:
\(x + k = 0\)
\(x = -k\)
Thus, one root of f(x) is x = -k, and the correct answer is given by the third option, from top to bottom.
Answer:
a root of f(k) is x=k
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red
graph?
The equation of the red graph is g ( x ) = 1 - x ².
How to find the equation for a quadratic graph ?To find the equation for a quadratic graph, you need to know the coordinates of three points on the graph. Once you have these coordinates, you can use them to write the equation in standard form. In this case, you can find the equation based on the equation of the blue graph.
All of the lines on the blue graph cross 4 on the graph. The only difference is that they all passed through number one. In order to make the blue line's equation represent the redline, you should substitute a 1 for the number 4 there.
This gives :
g ( x ) = 1 - x ²
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1
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
dddddweqwqq
Step-by-step explanation:
HELLPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
3.46 pounds6.92 pounds13.84 poundsStep-by-step explanation:
The most accurate ratio of pounds to dollars will be found using the given numbers that have the most significant figures. Those are found on the last row of the table:
pounds/dollar = 34.60/50 = 0.692
To find the other table values, multiply the dollar amounts by this constant of proportionality. The problem statement tells you to round the result to hundredths.
$5 ⇒ 5.00 × 0.692 = 3.46 pounds
$10 ⇒ 10.00 × 0.692 = 6.92 pounds
$20 ⇒ 20.00 × 0.692 = 13.84 pounds
_____
You can also fill in the table by recognizing that $5 is one tenth of $50, so the number of pounds will be one tenth of 34.60 = 3.46. Then each of the following rows doubles the amount on the previous row.
For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
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Find the first derivative and the second derivative of each of the following functions.
To find the first derivative and second derivative of the following functions.
Now,
a)
\(y=4x^7+5x^3\)The first derivative is given by,
\(\begin{gathered} y^{\prime}=\frac{d}{dx}(4x^7+5x^3) \\ =4\times7x^{7-1}+5\times3x^{3-1} \\ =28x^6+15x^2 \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d^{}}{dx^{}}(28x^6+15x^2) \\ =28\times6x^{6-1}+15\times2x^{2-1} \\ =168x^5+30x \end{gathered}\)b)
\(y=\frac{2}{x^4}\)The first derivative is,
\(\begin{gathered} y^{\prime}=\frac{d}{dx}(\frac{2}{x^4}) \\ =\frac{d}{dx}(2x^{-4}) \\ =2\times-4x^{-4-1} \\ =-8x^{-5} \\ =-\frac{8}{x^5} \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d}{dx}(-\frac{8}{x^5}) \\ =\frac{d}{dx}(-8x^{-5}) \\ =-8\times-5x^{-5-1} \\ =40x^{-6} \\ =\frac{40}{x^6} \end{gathered}\)c)
\(x=36\sqrt[3]{t}\)The first derivative is,
\(\begin{gathered} x^{\prime}=\frac{d}{dt}(36\sqrt[3]{t}) \\ =\frac{d}{dt}(36\times t^{\frac{1}{3}}) \\ =36\times\frac{1}{3}\times t^{\frac{1}{3}-1} \\ =12\times t^{\frac{1-3}{3}} \\ =12\times t^{-\frac{2}{3}} \\ =\frac{12}{\sqrt[3]{t^2}} \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{dt}(\frac{12}{\sqrt[3]{t^2}}) \\ =\frac{d}{dt}(12\times t^{-\frac{2}{3}}) \\ =12\times-\frac{2}{3}\times t^{-\frac{2}{3}-1} \\ =-8t^{-\frac{5}{3}} \\ =-\frac{8}{t\sqrt[3]{t^2}} \end{gathered}\)d)
\(x=4e^{5t+3}\)The first derivative is,
\(\begin{gathered} x^{\prime}=\frac{d}{dt}(4e^{5t+3}) \\ =4\times e^{5t+3}\times(5+0) \\ =20e^{5t+3} \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{dt}(20e^{5t+3}) \\ =20\times e^{5t+3}\times(5+0)_{} \\ =100e^{5t+3} \end{gathered}\)e)
\(y=16\ln (2x)\)The first derivative is,
\(\begin{gathered} y^{\prime}=\frac{d}{dt}(16\ln (2x)) \\ =16\times\frac{1}{2x}\times2 \\ =\frac{16}{x} \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d}{dt}(\frac{16}{x}) \\ =\frac{d}{dt}(16x^{-1}) \\ =16\times-1x^{-1-1} \\ =-16x^{-2} \\ =-\frac{16}{x^2} \end{gathered}\)f)
\(x=4\sin (3\theta-1)+5\cos (2\theta+7)\)The first derivate is,
\(\begin{gathered} x^{\prime}=\frac{d}{d\theta}(4\sin (3\theta-1)+5\cos (2\theta+7)) \\ =4\times\cos (3\theta-1)\times(3-0)+5\times-\sin (2\theta+7)\times(2+0) \\ =12\cos (3\theta-1)-10\sin (2\theta+7) \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{d\theta}(12\cos (3\theta-1)-10\sin (2\theta+7)) \\ =12\times-\sin (3\theta-1)\times(3-0)-10\times\cos (2\theta+7)\times(2+0) \\ =-36\sin (3\theta-1)-20\cos (2\theta+7) \end{gathered}\)Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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Find the length of OX
start overline, O, X, end overline.
If entering your answer as a decimal, round your final answer to the nearest hundredth
Answer:
Length OX = 7.09 units
Step-by-step explanation:
The diagram of the full question is attached to this solution.
Let the length of OX be x
Then length of OD = (13 - x)
From the image of the figure, it is given that
Angle BOL = Angle LOP
Let that angle be equal to θ
Angle BOL = Angle LOP = θ
But since lines BX, OL and PD are evidently parallel to one another, we can say that
Angle OPD = Angle LOP = θ (alternate angles are equal)
Also, Angle OBX = Angle BOL = θ (alternate angles are equal)
And from trigonometric relations,
Sin θ = (x/12)
And
Sin θ = (13 - x)/10
Since sin θ = sin θ
We can then equate
(x/12) = (13 - x)/10
cross multiplying
10x = 12 (13 - x)
10x = 156 - 12x
10x + 12x = 156
22x = 156
x = (156/22) = 7.091 = 7.09 to the nearest hundredth.
Hence, length OX = 7.09 units
Hope this Helps!!!
Answer: 7.09
Step-by-step explanation:
i got this answer from AyBaba7 and khan. thank you AyBaba7!!!!! :)
Pls help fast! Will get 20+ and brainliest
Answer:
a) 30 × .5 = 15 days
b) .2 + .1 = .3
PLEASE HELP ME ! :C
How is this supposed to be solved I don't get it! (〒﹏〒)
I can try to help, is there a problem or picture?
50 points. use rotation tool in top right to flip upright.
Answer:
(a) 56%
(b) 28%
Step-by-step explanation:
Hope this helps! :)
The graph shows the position (distant from home) of a bicycle rider on a 42-minute trip. Letters A through E are time intervals during the trip. The key defines the length of each interval.
Use the equation below to calculate the bicycle rider’s average speed in kilometers per minute for the first 30 minutes of the trip
Distance(km)/time(min) = average speed
The average speed on the first 30 minutes is 0.2 km per min.
How to get the average speed?Here we have the graph for the position of a bycicle rider on a 42-minute trip.
On the vertical axis we can see the position, and on the horizontal axis we can see the time.
Remember that:
speed = distance/time.
To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.
At 30 min we can see that the position is at 6 km, then the speed will be:
S = 6km/30min = 0.2 km per min.
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Solve for x. Round to the nearest tenth, if necessary.
x=
Step-by-step explanation:
For RIGHT triangles the cos of an angle = adjacent LEG / hypotenuse
so for THIS triangle cos 55° = x / 9.3
re-arrange to 9.3 * cos 55° = x
use calculator to find x = ~ 5.3 units (rounded)
Answer:
x = 5.3
Step-by-step explanation:
As triangle XYZ is a right triangle, and we have been given angle X, the side adjacent the angle, and the hypotenuse, we can use the cosine trigonometric ratio to solve for x.
\(\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
Given:
θ = 55°A = xH = 9.3Substitute the given values into the formula and solve for x:
\(\implies \cos 55^{\circ}=\dfrac{x}{9.3}\)
\(\implies x=9.3 \cos 55^{\circ}\)
\(\implies x=5.3342608...\)
\(\implies x=5.3\; \sf (nearest\;tenth)\)
Therefore, the value of x is 5.3 to the nearest tenth.
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
the number can be rewritten without a radical in the denominator by multiplying the numerator and denominator by
To rewrite a number with a radical in the denominator without the radical, we can use the conjugate of the denominator. The conjugate of a binomial expression a + b is a - b, and the conjugate of a - b is a + b.
Suppose we have a number with a radical in the denominator, such as 1/√2. To rewrite this without the radical, we multiply the numerator and denominator by the conjugate of the denominator, which is
√2: 1/√2 = (1/√2) * (√2/√2) = √2/2
Note that the product of the denominator and its conjugate is always a difference of squares, which can be simplified to an integer without a radical.
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) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal
It took Emily 33.4 minutes to make dinner.
Define a mixed number?A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.
To solve the problem, we have to convert the mixed number \(9 \frac{1}{10}\) to a decimal number:
⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)
⇒ \(\frac{91}{10}\) = 9.1
This means that Emily finished making dinner 9.1 minutes sooner than the cake.
To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:
⇒ 42.5 - 9.1 = 33.4 minutes
Therefore, it took Emily 33.4 minutes to make dinner.
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XZ is the perpendicular bisector of segment WY. Solve for m. Enter a NUMBER only.
Answer:
m = 20
Step-by-step explanation:
You want the value of m when (4m +10)° represents an angle of 90°.
EquationThe perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...
(4m +10)° = 90°
SolutionDividing by ° and subtracting 10 gives ...
4m +10 = 90
4m = 80
m = 20 . . . . . . divide by 4
The value of m is 20.
<95141404393>
A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?
Answer:
$42.00
Step-by-step explanation:
We can represent the given information as a ratio:
% of original price : price
5% : $2.00
Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.
5% : $2.00
↓ × 20 ↓ × 20
100% : $40.00
Now that we know the original price, we can add $2.00 to get the new price.
$40.00 + $2.00 = $42.00
Find the measure of the arc or angle indicated
The unknown angle in the cyclic quadrilateral is as follows:
∠R = 86 degrees
How to find arc angle?The diagram above is cyclic quadrilateral. A cyclic quadrilateral is a four sided shape that can be inscribed into a circle.
The sum of angles in a cyclic quadrilateral is 360 degrees. The opposite angles in a cyclic quadrilateral is supplementary.
Hence, let's find the unknown angle.
∠R = 1 / 2 (92 + 80)
∠R = 1 / 2 (172)
∠R = 86 degrees
Therefore, the unknown angle is 86 degrees.
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Determine the equation of the circle with center (-7, -4) containing the point
(-1,-8).
Answer:
(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Step-by-step explanation:
i literally just learned this today so here we go:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:
(x - (-7))^2 + (y - (-4))^2 = r^2
(x + 7)^2 + (y + 4)^2 = r^2
We also know that the circle contains the point (-1, -8).
We can substitute these values for x and y, and solve for r:
(-1 + 7)^2 + (-8 + 4)^2 = r^2
36 + 16 = r^2
r^2 = 52
Substituting this value of r^2 into the equation for the circle, we get:
(x + 7)^2 + (y + 4)^2 = 52
Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52
Question 2 of 10
How many solutions does the system of equations below have?
y=3x+4
y+6= 3x
OA. Exactly 1 solution
B. No solution
OC. More than 1 solution
OD. At least 1 solution
SUBMIT
Answer:
B, No solution
Step-by-step explanation:
If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect
In the first and second equation, the slopes are both 3 so they will never intersect.