Answer:
AB ≈ 9.11
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44° = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{AB}\) = \(\frac{8.8}{AB}\) ( multiply both sides by AB )
AB × tan44° = 8.8 ( divide both sides by tan44° )
AB = \(\frac{8.8}{tan44}\) ≈ 9.11 ( to 3 sf )
!!!!________________
Answer:
B
Step-by-step explanation:
The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer
A data analyst is cleaning their data in r. They want to be sure that their column names are unique and consistent to avoid any errors in their analysis. What r function can they use to do this automatically?
The r function that the data analyst can use to do this automatically is the clean names function.
What is the purpose of the Clean names function?When it comes to data manipulation, R is an excellent tool. It enables the use of several preprocessed packages, making data manipulation much easier.
Janitor's clean names() function will make all of your variable names consistent in a single line of code.
In R, a data analyst is cleaning up their data. To avoid errors in their analysis, they want to ensure that their column names are unique and consistent. What R function can they use to automate this? The clean names() function will ensure that column names are both unique and consistent.
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Answer:
32.1
Step-by-step explanation:
You add the code chunk arrange(bill_length_mm) to sort the column bill_length_mm in ascending order. The correct code is penguins %>% arrange(bill_length_mm). Inside the parentheses of the arrange() function is the name of the variable you want to sort. The code returns a tibble that displays the data for bill_length_mm from shortest to longest. The shortest bill length is 32.1mm.
Calculator
not allowed
What are the values of m and c?
to task
Bookwork code: P76
Give each of your answers as an integer or as a fraction in its simplest form.
Y
5-
-4-
3
2-
1
-5 -4 -3 -2 -1.0 1 2 3 4 5
Line T
✓ Scroll down
Watch video
0°C Fog w
Answe
ENG
Answer:
m = \(\frac{1}{5}\) , c = - 4
Step-by-step explanation:
m is the slope of the line and is calculated using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = \(\frac{1-0}{1-(-4)}\) = \(\frac{1}{1+4}\) = \(\frac{1}{5}\)
c is the value of the y- intercept , where the line crosses the y- axis
the line crosses the y- axis at - 4, then c = - 4
Help me how to do this maths problem.
Answer:
15.35
Step-by-step explanation:
Add all of the prices of the items mentioned to get your answer.
Susie ran 2.35 kilometers. What is the value of the 3 in 2.35?
A. 3 tens
B. 3 tenths
C. 3 hundredths
D. 3 thousands
Answer:
tenths
Step-by-step explanation:
the 2 is in the ones place and the 5 is in the hundreds meaning the 3 would be in the tenths
If a bivariate Gaussian PDF has a mean vector and a covariance matrix given below. Plot the contours of constant PDF.Next find the minimum mean square error (MMSE) prediction of Y given X = r and plot it on top of the contourplot. Explain the significance of the plot.(πx)=(5) :. c=(4. 3)(πy). (6). (3. 4)Recall that the MMSE in this case is given byE(Y|x)=πY+rX,YσY/σX (x-πX)
The contour lines show regions of equal probability density, while the MMSE prediction line demonstrates the best estimate of Y given a specific value of X, minimizing the mean squared error between the actual and predicted values.
The bivariate Gaussian PDF has a mean vector (πx, πy) = (5, 6) and a covariance matrix C = ((4, 3), (3, 4)). To plot the contours of constant PDF, you need to create a 2D grid of points and calculate the bivariate Gaussian PDF values for each point using the given mean vector and covariance matrix. Then, you can visualize these values as contour lines on a 2D plot.
To find the minimum mean square error (MMSE) prediction of Y given X = r,
you can use the given formula\(E(Y|X) = πY + rX,Y * σY/σX * (X - πX).\)
Here, rX,Y represents the correlation coefficient between X and Y, and σX and σY represent the standard deviations of X and Y, respectively. These values can be obtained from the covariance matrix C.
After calculating the MMSE prediction of Y given X = r, you can plot it on top of the contour plot to visualize the relationship between X and Y. The significance of this plot is that it provides a graphical representation of the joint distribution of X and Y, and it helps to understand the correlation and predictability between the two variables.
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Keisha buys 2 pens at the store. Each pen costs $2. Which graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost? PLES IM DOING A TEST RN
The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
How to determine the graph shows the coordinates of the point that represents the number of pens that Keisha buys and the total cost?The given parameters are
Number of pen = 2
Unit price = $2
This means that the total amount spent is
Total amount = Number of pen * Unit price
Evaluate the product
Total amount = 2 * 2
Evaluate the product
Total amount = 4
So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)
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Are the following functions analytic? Use (1) or (7). 2. f(z)=iz
z
ˉ
3. f(z)=e
−2x
(cos2y−isin2y) 4. f(z)=e
x
(cosy−isiny) 5. f(z)=Re(z
2
)−iIm(z
2
) 6. f(z)=1/(z−z
5
) 7. f(z)=i/z
8
8. f(z)=Arg2πz 9. f(z)=3π
2
/(z
3
+4π
2
z) 10. f(z)=ln∣z∣+iArgz 11. f(z)=cosxcoshy−isinxsinhy
The following functions are analytic:
1. f(z) = iz
2. f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y^)\)
4. f(z) = \(e^x(cosy - isiny)\)
5. f(z) = \(Re(z^2) - iIm(z^2)\)
8. f(z) = \(i/z^8\)
11. f(z) = cos(x)cos(hy) - isin(x)sin(hy)
Analytic functions are those that can be expressed as power series expansions, meaning they have derivatives of all orders in their domain. In the given list of functions, we need to determine if each function satisfies this criterion.
f(z) = iz: This function is linear and can be expressed as a power series, therefore it is analytic.f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y)\): This function can also be expressed as a power series expansion and has derivatives of all orders, making it an analytic function. f(z) = \(e^x(cosy - isiny)\): Similarly, this function can be written as a power series expansion and has derivatives of all orders, making it analytic. f(z) = \(Re(z^2) - iIm(z^2)\): Although this function involves the real and imaginary parts of \(z^2\), both of these components can be expressed as power series expansions, implying that f(z) itself can be written as a power series and is thus analytic.f(z) = \(i/z^8\): This function can be rewritten as i*\((1/z^8)\) , where \(1/z^8\) can be expressed as a power series expansion. Since the multiplication of a constant (i) and an analytic function (\(1/z^8\)) results in an analytic function, f(z) is analytic. f(z) = cos(x)cos(hy) - isin(x)sin(hy): This function consists of the multiplication and addition of trigonometric functions, which are themselves analytic. Therefore, f(z) is an analytic function.Learn more about Analytic functions
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Passes through (4, -2) and m = 0.
\(\huge\boxed{\bold{Hi\;there!}}\)
We are given the slope of a line and a point that it passes through.
So, we can write the equation of the line in point-slope form:
\(\rm{y-y1=m(x-x1)\)
\(\rm{y+2=0(x-4)\)
\(\rm{y+2=0\)
\(\rm{y=-2\)
\(\huge\boxed{\rm{Answer:y=-2}}\)
\(\huge\bf{Hope\;it\;helps!\;Good\;luck!}\)
\(\huge\rm{StillEnjoyingLife :)\)
Answer:
y = -2
Step-by-step explanation:
Slope = 0, the line is parallel to x-axis
So, equation of line parallel to x-axis = y =b
y = -2
what is equivalent to 6(9+4)
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
\(t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}\)
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
\(\rm h(t)=-16t^2+6t+12\)
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
\(\rm h(t)=-16t^2+6t+12\)
1. The initial height is the height when t = 0 second,
\(\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12\)
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
\(\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855\)
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
\(\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\\)
To find the maximum height the value first derivative is equal to zero.
\(\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\\)
Substitute the value of t in the equation to find the maximum height,
\(\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56\)
Hence, The maximum height is 12.56.
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A total of 120 high school students were surveyed about their winter break shopping habits. The results revealed that 50% shop for new clothes, 35% shop forschool supplies, and 25% shop for clothes and school supplies. How many students shop for clothes or school supplies over the break?
Answer:
72
Explanation:
Given that:
Percentage of students shop fro new clothes = 50%
Percentage of students shop for school supplies = 35%
Percentage of students shop for clothes and school supplies = 25%
Total number of students in the high school = 120
Use the formula:
\(n(A\cup B)=n(A)+n(B)-n(A\cap B)\)Then:
Percentage of students shop for clothes or school supplies
\(\begin{gathered} =50\%+35\%-25\% \\ =50\%+10\% \\ =60\% \end{gathered}\)Number of students shop for clothes or school supplies
\(\begin{gathered} =120\cdot60\% \\ =120\cdot\frac{60}{100} \\ =72 \end{gathered}\)Hence, 72 students shop for clothes or school supplies over the break.
a cuboid with a volume of 374cm^3 has dimensions
Answer:
2 x 11 x 17 = L x W x H
Step-by-step explanation:
x² + 12 (8) - 160 = 0
8(8) + 96 -160 = 0
8(8) + 96 -160
160 -160 = 0
x² + 12x -160 = 0
x² + 8 × - 20 = 0
(x +8) (x-20)
2( x+3 ) × (x+9) = 374
(x+3) × (x+9) = 374 ÷ 2
(x+3)× (x+ 9) = 187
x² = 184 - 9
x² = 175
x = 175/25
x = 8
Formula of Volume of Cuboid
V = L ×W × H
V = 2 × (x+3) × (x+9)
2 ( 8+3 ) × ( 8+ 9)
2 (11) × (17)
x + 3 = 11
x + 9 = 17
Volume L × W × H
2 × 11 × 17 = 374cm³
satisfies the equation
dimensions of the cuboid
2 11 and 17
What is the sum? nine-fourths + left-parenthesis negative one-fifth right-parenthesis A. start fraction 41 over 20 end fraction B. –start fraction 41 over 20 end fraction C. –one-third D. Start Fraction 8 over 20 End Fraction
Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string?
The new length of the string is 13.25 feet.
How to find the new length of the string?Ed needed to extend the string on his kite. The current string was eight and three fourths feet.
He cut a piece of string that measured 4.5 feet and added it to the existing string.
Therefore, the new length of the string can be calculated as follows:
current string length = 8 3 / 4 = 35 / 4 feet
string added = 4.5 feet
Hence,
new length of the string = 8.75 + 4.5
new length of the string = 13.25 feet
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Find the solution for −0.4x − 4.15 = x − 1.6 − 2.97.
x = −3.3
x = 3.3
x = −0.3
x = 0.3
Answer:
x=0.3
Step-by-step explanation:
-0.4x-4.15=x-1.6-2.97
-0.4x-x=-(1.6-2.97)+4.15
-1.4x=0.42
x=0.3
Answer:
x=0.3
Step-by-step explanation:
The terminal ray of ZA passes through the point (10, — 4).
Answer:
In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.
The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.
So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5
So sec(A) = √29/5 which is the simplified form.
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
I need help with number 35.
Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.
x + 4 = 3x - 8
Subtract x from both sides. Add 8 to both sides
12 = 2x
Divide both sides by 2
6 = x
ED = 6 + 4 = 10
ED = DB = 10
EB = ED +DB = 10 + 10 = 20
ED = 10
DB = 10
EB = 20
Picture attached help please!
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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please help me please.....
Answer:
q = 50 degrees
Step-by-step explanation:
q and 50 degrees are vertical angles and vertical angles are equal
q = 50 degrees
Use 3.14 = 7 to find the volume of the composite shape below.
15 in
20 in
18 in
The total volume of this composite shape is
Awnser: 16022 in3
Step-by-step explanation:
find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.
Directions: Simplify the following problems using multiplication.
1. (7q4)(5q6) =
2. (3w2)(4w2) =
3. (8x2)(4x2) =
4. (104)(104) =
5. (6s3)(5s4) =
6. (82)(82)=
7. 6s3(5s2)(3s4) =
8. 12x2(12x2)(12x2) =
9. 3x(x2)(2x3) =
10. y2(y5) =
11. 52(53) =
12. 4k3(2k2)(3k3)
13. 2y(y6)
14. d5(d2)
15. 2L(L3)
Answer:
Step-by-step explanation:
1.35q^10
2.12w^4
3.32x^4
4.10^8
5.30s^7
6.8^4
7.30s^9
8.1728x^6
9.6x^5
10.1y^7
11.25^5
12.24k^8
13.2y^6
14.1d^7
15.2l^3
convert 336g to m³
\(336g \: to \: m3\)
The conversion 336g to m³ is impossible because they measure different units
How to convert 336g to m³From the question, we have the following parameters that can be used in our computation:
Convert 336g to m³
To convert a unit to another, the units must measure the same quantity
Take for instance:
Grams can be converted to kilograms because they both measure mass
Using the above as a guide, we have the following:
336g to m³ cannot be done because of the different quantities they represent
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If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
The table below shows the cost of 4 sizes of Bran Pops Cereal. Which size is the best buy?
16 ounces costs $2.56
36 ounces costs $5.40
64 ounces costs $8.96
96 ounces costs $14.40
Answer:
64 ounces is the best buy
Step-by-step explanation:
To figure which size is the best to buy, find the cheapest per ounces one
A: 16 ounces costs $2.56, each ounces cost 2.56/16 = $0.16
B: 36 ounces costs $5.40, each ounces cost 5.40/36 = $0.15
C: 64 ounces costs $8.96, each ounces cost 8.96/64 = $0.14
D: 96 ounces costs $14.40, each ounces cost 14.40/96 = $0.15
From the results above, C cost lowest per ounces,
64 ounces is the best buy
Find the value of n
1/(cube √7)^5=7^n
\(\dfrac{1}{ \left(\sqrt[3] 7 \right)^5} = 7^n\\\\\\\implies \left(\sqrt[3] 7 \right)^{-5} = 7^n\\\\\\\implies \left(7^{\tfrac 13} \right)^{-5} =7^n\\\\\\\implies 7^{-\tfrac 53} = 7^n\\\\\\ \implies n = -\dfrac 53\)
12 ^ x = 205 in logarithmic form
Answer:
x=2.142137
Step-by-step explanation:
Solve Exponent.
12x=205
log(12x)=log(205)(Take log of both sides)
x*(log(12))=log(205)
x=
log(205)
log(12)
x=2.142137
A circular plate has circumference 23.2 inches. What is the area of this plate? Use 3.14 for it.
Answer:
72.848
Step-by-step explanation:
short is 72.84hope it help
Answer:
43
Step-by-step explanation:
Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
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