Answer:
Step-by-step explanation:
\(\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft\)
Marisa was tracking the diving speed of a bird. The average speed was 108 miles per hour. That means in one hour, the bird would travel 108 miles at that speed. However, these dives last far less than an hour, so Marisa needs to convert this to feet per second
By a change of units, we will get that 108 mi/h = 158.4 ft/s
Here we want to transform 108 mi/h to feet per second.
Then we will use two relations:
1 mi = 5,280 ft1 h = 3,600 sThen we can just transform as:
108mi/h = (108*5,280 ft)/h = 570,240 ft/h
570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s
So we have:
108 mi/h = 158.4 ft/s
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Three consecutive odd integers have a sum of 111. What is the first of the odd
integers?
A. 31
B. 33
C. 35
D. 37
Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answer:
57
Step-by-step explanation:
this is the boybfiend
Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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4) Given g(x)=-2x-15, find g(6).
A) g(6)=3
C) g(6)=-27
B) g(6) = -3
D) g(6)=-41
Answer:
g(6) = - 27
Step-by-step explanation:
Given
g(x) = - 2x - 15
g(6) = - 2 * 6 - 15 = - 12 - 15 = -27
Hope it will help :)
Formulas neededa) Equation of a line in slope-yintercept form y = f(x) = mx + bb) Equation of a line slope-pointy - y = m (x - x)(10 points)9) The slope of the tangent to a function f(x) at point(2,7) is m, = -3. Write the equation of the tangent lineat the given point.
Let:
\(\begin{gathered} (x1,y1)=(2,7) \\ m=-3 \end{gathered}\)Using the point-slope equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-7=-3(x-2) \\ y-7=-3x+6 \\ y=-3x+13 \end{gathered}\)Answer:
y = -3x + 13
After 1 year in busines, NetPix has 250 subscribers. They now expect to triple their number of subscribers each year. At that rate, how many subscribers would they have after 10 years in business?
Using the rate of the exponential growth to calculate the exponential function, the number of subscribers after 10 years is 3446
What is an Exponential FunctionAn exponential function is a function in which the variable appears in an exponent. It is of the form f(x) = aˣ, where a is a constant and x is the independent variable. The graph of an exponential function is a curve that increases or decreases at an increasing rate.
To solve this problem, we have to find the rate and then calculate the number subscribers after 10 years.
In a given exponential function;
A = P(1 + x)ⁿ
Since this is an exponential growth, we can calculate the rate as;
1 year = 250 subscriber
2 years = 3 * 250
rate = (250 / 750) * 100
rate = 30%
We can substitute the values into the formula and solve
A = 250(1 + 0.3)¹⁰
A = 3446.46
They are expected to have 3446 subscribers after 10 years
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Determine the equation of the ellipse with foci (2, 4) and (2, -8), and co-vertices
(10,-2) and (-6, -2).
The equation of ellipse with foci (2, 4) and (2, -8) and co-vertices (10, -2) and (-6, -2) is ((x - 2)^2 / 64) + ((y + 2)^2 / 36) = 1
What is the equation of ellipseTo find the equation of the ellipse, we first need to determine the center of the ellipse. Since the foci are on the same vertical line, the center of the ellipse is at the midpoint of the segment connecting the foci.
The midpoint of the segment connecting the foci is:
((2+2)/2, (4-8)/2) = (2, -2)
So the center of the ellipse is (2, -2).
Next, we need to determine the lengths of the semi-major and semi-minor axes. The semi-major axis is half the distance between the co-vertices, which is:
a = (10 - (-6))/2 = 8
The semi-minor axis is half the distance between the foci, which is:
c = (4 - (-8))/2 = 6
Now we can use the standard form of the equation of an ellipse centered at (h,k):
((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1
where a is the length of the semi-major axis and b is the length of the semi-minor axis.
Plugging in the values we have:
((x - 2)^2 / 8^2) + ((y + 2)^2 / 6^2) = 1
Simplifying and rearranging:
((x - 2)^2 / 64) + ((y + 2)^2 / 36) = 1
So the equation of the ellipse is:
((x - 2)^2 / 64) + ((y + 2)^2 / 36) = 1
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2x + 7 = 5x - 8 (x - 4)
Answer:
x=5
Step-by-step explanation:
2x + 7 = 5x - 8 (x - 4)
Distribute
2x+7 = 5x - 8x +32
Combine like terms
2x+7 = -3x+32
Add 3x to each side
2x+7+3x = -3x+32+3x
5x+7 = 32
Subtract 7 from each side
5x+7-7 = 32-7
5x = 25
Divide by 5
5x/5 = 25/5
x=5
Leo has two choices of cake and he needs one that will feed the most people. One of them has the height of 5 inches and a diameter of 12 inches and the other one is 6 inches tall and 10 inches across. Which cake has a bigger volume and will feed more people?
WILL MARK BRAINLEST!!!
3) Given the arithmetic sequence (-2, 4, 10, 16. 22. ... ). Which value would 25 points be represented by a,?
4) What is the common difference for the arithmetic sequence (-2.4. 10. 25 points 16, 22, ...)?
(ANSWER BOTH) (FASSSTTTT REPLYYYY)
Answer:
Step-by-step explanation:
the Formula of Arithmetic Sequence
If you wish to find any term (also known as the {n^{th}}n
th e
term) in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself..
Graph the lines in standard form 2x+y=9
Answer:
to graph this all you need to do is plot the y-intercerpt which is 9 in this case. then use the slop (-2) which means go two down from the y intercept and one to the right. all you need to do then is connect the points with a line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator produces a graph very nicely.
__
Setting x=0, you have the equation y=9, so you know the y-intercept.
Setting y=0, you have the equation 2x=9, so you know the x-intercept is 9/2 = 4.5. It can be easier to set y=1 to find the corresponding point x=(9-1)/2 = 4.
Through the points (0, 9) and (4, 1), you can draw the line representing the relation.
Solve by addition method
3x+y=8
2x-y=7
Answer:
(3,-1)
Step-by-step explanation:
So we have the system of equations:
\(3x+y=8\\2x-y=7\)
As directed, add straight down. The y-variable will cancel:
\(5x=15\)
Now, divide both sides by 5. The left cancels:
\(x=3\)
So x is 3.
Now, substitute 3 for x in either of the equations:
\(3x+y=8\)
Substitute 3 for x:
\(3(3)+y=8\)
Multiply:
\(9+y=8\)
Subtract 9 from both sides:
\(y=-1\)
So, our answer is: x=3, y=-1 or (3,-1).
And we are done :)
Select the correct expanded form for (Two-thirds) Superscript 4.
Two-thirds times two-thirds times two-thirds times two-thirds
Two-thirds times two-thirds times two-thirds
Two-thirds + two-thirds + two-thirds + two-thirds
Two-thirds times 4
The correct expanded form using Laws of exponents is:
Two-thirds times two-thirds times two-thirds times two-thirds
How to use laws of exponents?Some of the laws of exponents are:
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, we want to solve the expression given as: (²/₃)⁴
When we expend this, we arrive at:
²/₃ × ²/₃ × ²/₃ × ²/₃
This among the options is Option A which is:
Two-thirds times two-thirds times two-thirds times two-thirds
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I’ll pay $20 in cashapp for whoever can do this
Answer:
10
Step-by-step explanation:
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
Solve (x + 2 < 5) (x - 7 > -6).
{x | -6 < x < 5}
{x | x < 3 or x > 1}
{x | x < 0}
Answer:
(x + 2 < 5) (x - 7 > -6)=
1<x<3
Step-by-step explanation:
think smart performance task movie time part a
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
Divide.
72 ÷ 0.8
Subtract.
−3−3.5
Divide.
6.4 ÷ 0.16
Subtract.
5.2−(−20)
Divide.
0.36 ÷ 0.2
Answer:
a. 90
b. -6. 5
c. 40
d. 25.2
e. 1.8
Answer:
90, -6.5, 40, 25.2, 1.8
Step-by-step explanation:
1. 72 ÷ 0.8 = 90
2. -3 - 3.5 = -6.5
3. 6.4 ÷ 0.16 = 40
4. 5.2 - (-20) = 5.2 + 20 = 25.2
5. 0.36 ÷ 0.2 = 1.8
For 24 points answer this question!
The volume of the composite figure is 6,330.24 in^3
How to find the volume of the figure?We know that the volume of half a sphere of radius R is:
V = (2/3)*pi*R^3
Here we know that pi = 3.14 and R = 12 inches, then the volume is:
V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3
And the volume of a cone of height H and radius R is:
v = (1/3)*pi*R^2*H
So here the volume is:
v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3
Then the total volume is:
3,617.28 in^3 + 2,712.96 in^3 = 6,330.24 in^3
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Find the value of x in the triangle shown below 8 2
Answer:
8.25
Step-by-step explanation:
(8x 8) + (2x2) = x ^2
64 + 4 = x2
x = √68
x = 8.25
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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What is the square root of r^64
Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
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Help I’m stuck on this question!!
Answer:
11,4,8are the elements of the set of intersection between
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
What is the area of this figure? 4 yd 3 yd 5 yd 3 yd 4 yd 2 yd 3 yd 4 yd 4 yd 8 yd
The area of the shape is 58yd²
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².
The shape can be divided into 3
part 1 is a square = l²
area = 4² = 16yd²
part 2 is a rectangle
area = l×w
= 9×4
= 36yd²
part 3 is a rectangle
area = 2× 3 = 6yd²
therefore the area of the shape = 6+36+16 = 58yd²
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Question 4:
Two equations are shown:
Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:
Answer:
x = 28
y = 32
Brainliest?
5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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182 – (4 + 92) answer thank you
Answer:
86
Step-by-step explanation:
182 – (4 + 92)
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