Answer:
Proportional.
Step-by-step explanation:
Answer:
Not proportional
Step-by-step explanation:
I got it right.
Boris is riding a ferris wheel at a carnival. After a time t, his height H above the ground is given by the following formula. H=a cos(bt)+c Find Boris's height above the ground when a=-15m,b=2.241 rad/s,t=3s, and c=23m
Answer:
Boris height above the ground is 9.428m
Step-by-step explanation:
Boris height above the ground is given by the formula;
H = a cos(bt) + c
Now, we are told that,
a = -15m
b = 2.241 rad/s
t = 3s
c = 23m
Plugging in the relevant values, we have;
H = -15 cos (2.241 * 3) + 23
H = -15 cos(6.723 rad) + 23
cos(6.723rad) = 0.9048
Thus,
H = (-15 × 0.9048) + 23
H = 9.428 m
So boris height above the ground is 9.428m
Union City Bakery uses a chocolate chip muffin recipe that yields 1/2 cup of milk for every batch of 12 chocolate chip muffins. Based on the recipe:
* How much milk is needed to make each muffin?
* How much milk in needed to make 24 chocolate chip muffins?
Answer:
Grease bottoms only of 12 muffin cups or line with baking cups. ... I made some changes to the recipe;
Step-by-step explanation:
I added 1 cup milk, 1 cup chips, 1 cup ... was way too much batter for 12 muffins; I ended up making two trays and they were done in 18 minutes. I give it four stars only because of all the changes I had to make
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 550 and a standard
deviation of 40. How well must Violet score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
Step-by-step explanation:
662
what angles are supplementary
Answer:
∠MKN and ∠OKN
Step-by-step explanation:
∠MKN and ∠OKN are supplementary because they add up to 180°
A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
(The answer is 10.5, but how?) pls help
Answer:
4 cm
Step-by-step explanation:
Perimeter = 18cm
θ = 2.5 radian
s = rθ, s = Arc length
Perimeter of Sector, P = arc length, s + 2r
Perimeter = rθ + 2r
r = Radius
18cm = r(2.5) + 2r
18cm = 2.5r + 2r
18cm = 4.5r
r = 18 /4.5
r = 4
given triangle xyz and triangle pqr with measurements as marked below. determine whether or not triangle xyz is similar to triangle pqr
The Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.
Triangle xyz has sides of length x, y, and z and triangle pqr has sides of length p, q, and r.
To determine if triangle xyz is similar to triangle pqr, we must calculate the ratios of corresponding sides. This is done using the formula:
Ratio of sides = (Side length x) / (Side length y)
We can calculate the ratios for each side of the triangles and compare them. If the ratios are equal for all sides, then the triangles are similar. For example, if the ratio of side x to side y in triangle xyz is equal to the ratio of side p to side q in triangle pqr, then the triangles are similar. If the ratios are not equal for all sides, then the triangles are not similar.
We can use the Pythagorean Theorem to determine if the triangles are not only similar, but also congruent. The Pythagorean Theorem states that a2 + b2 = c2, where c is the longest side and a and b are the other two sides. If the Pythagorean Theorem holds true for both triangles, then the triangles are not only similar, but also congruent.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ4
Which point is a reflection of Z (5 1/2, 3) across the x-axis
The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
Here,
The given point is Z (5 1/2, 3).
We have to find the point of reflection of Z (5 1/2, 3) across the x-axis.
What is Reflection across x-axis?
A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.
Now,
Since, The given point Z (5 1/2, 3) is lie on first coordinate.
Hence, The reflection of the point Z (5 1/2, 3) is lie on the third coordinate.
And, In the third coordinate the x-coordinate is positive and y-coordinate is negative.
Since, The rule of the reflection across x- axis is,
(x, y) → (x, -y)
So, The reflection of the point Z (5 1/2, 3) across the x - axis = (5 1/2, -3)
Therefore, The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
Learn more about the Reflection across x-axis visit:
https://brainly.com/question/24696463
#SPJ1
Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
Read more on quadratic functions here: brainly.com/question/24020644
#SPJ1
PLEASE HELP I AM TRYING TO STUDY FOR A CALCULUS EXAM!! WORTH A TOTAL OF 100 POINTS!!!!!!!!!
Find the mass of a sphere of radius 7 if δ= kρ, k a constant.
Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is
\(\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz\)
where B is the set
\(B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}\)
If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting
\(\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw\)
The integral then transforms to
\(\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv\)
Without any additional information, there's not much more to say...
3 + 3 + ?
20 POINTS FOR THE FIRST AWNSER!
Answer:
6
Step-by-step explanation:
Answer:
3+3=6
Step-by-step explanation:
3=1+1+1 so 1+1+1+1+1+1=6
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answer:
The answer is "\(\angle y = 90^{\circ}\)"
Step-by-step explanation:
Please find the image file of the angle in the attachment.
Each line is 180° straight because the \(\angle x\)-axis of the 40° and 50° angles is a straight line:
\(= \angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\)
Use this formula and isolate x.
\(\angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\\\\ \angle x + 90^{\circ} = 180^{\circ} \\\\ \angle x = 180^{\circ} - 90^{\circ} \\\\ \angle x = 90^{\circ}\\\\\)
Since the two are vertical angles, they have the same measurement. These have the same measurement. If \(\angle x = 90^{\circ}\) and \(m \angle x = m \angle y\), then \(\angle y = 90^{\circ}\)
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
6. Expand the brackets: a) 3(x - y) )
Answer:
3x-3y
Step-by-step explanation:
3(x-y)
open the brackets:
(3×x)-(3×y)
= 3x-3y
What are the distances from the point (x, y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)²+(y-3)²
distance to the directrix: |y+4|
distance to the focus: √(x+3)²+(y-2)²
distance to the focus: √(x-2)²+(y+3)²
distance to the directrix: |y-4|
distance to the directrix: |x-4|
The distances from the point (x,y) are given as follows:
Distance to the focus: √(x+3)²+(y-2)².Distance to the directrix: |y - 4|.How to obtain the distance between two points?Suppose that we have two points with coordinates given by \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates of the focus of the parabola are given as follows:
(-3,2).
Hence the distance of the point (x,y) to the focus of the parabola is given as follows:
√(x+3)²+(y-2)².
The equation that defines the directrix is given as follows:
y = 4.
The y-coordinate of the point is of:
y.
Hence the distance is of:
|y - 4|.
More can be learned about the distance between two points at https://brainly.com/question/7243416
#SPJ1
simplify -3xy-2(x+y)-4y+xy
Answer: -2xy - 8y
Step-by-step explanation:
-3xy-2(x+y)-4y+xy
-3xy - 2x -2y - 4y + xy
-2xy - 2x - 2y - 4y
-2xy - 8y
Mr. and Mrs. Burnet's gross earnings total $5,825. How much of the amount earned is spent on
taxes and insurance?
Taxes, 15%
Entertainment,3%
Car/Gas, 9%
Insurance, 7%
College Fund,
10%
Utilities, 8%
Rent, 21%
Savings, 14%
Food, 8%
Clothing, 5%
Answer:
The Burnets spent .22 × $5,825 = $1,281.50 on taxes and insurance.
slope=-3 y intercept=-2 find the x intercept
The x-intercept when the slope is -3 and the y-intercept is -2 is - 2 / 3 .
How to find the x-intercept of an equation?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.
The slope is the change in y with respect to the change in x.
The x-intercept is where a line crosses the x-axis. It is the value of x when y = 0.
Hence,
y = -3x - 2
let's find x-intercept as follows:
0 = -3x - 2
-3x = 2
x = - 2 / 3
Therefore, the x-intercept is - 2 / 3.
learn more on equation here: https://brainly.com/question/1685378
#SPJ1
Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
The algebraic expression for Desmond's height is x + 5.
write an algebraic expression for Desmond's height.If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.
So the algebraic expression for Desmond's height is x + 5.
What are algebraic expression?Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).
They can contain one or more variables and can be evaluated for different values of the variables.
For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.
to know more about expression
brainly.com/question/14083225
#SPJ1
Give the slope and the
y
intercept of the line
8
x
−
9
y
=
−
4
.
The slope of the line, m = 8/9.
The y-intercept of the line, b = 4/9.
How to Find the Slope and Y-intercept of a Line?An equation that represents a line can be expressed in slope-intercept form as, y = mx + b, where we have the following:
Slope = m
Y-intercept = b.
Given that a line is represented by the equation, 8x - 9y = -4, rewrite the equation in slope-intercept form:
8x - 9y = -4
8x - 9y - 8x = -8x - 4 [subtraction property of equality]
-9y = -8x - 4
-9y/-9 = -8x/-9 - 4/-9 [division property of equality]
y = 8/9x + 4/9
Therefore:
The slope of the line, m = 8/9.
The y-intercept of the line, b = 4/9.
Learn more about the slope and y-intercept on:
https://brainly.com/question/25722412
#SPJ1
X squre + y + 1 = 0
Answer:
-2 squared+3+1=0
I hope it helps
B= R/E - T, solve for E
2/10 convert to a decimal
Answer:
0.2 is the answer
-your welcome and have a great day!!
A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = \(\dfrac{133}{420027}=0.0003166\)
Sample size : 420027
Confidence interval for p: \(\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\), where \(\hat{p}\)= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
\(0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)\)
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
Find the area of the figure.EXPlAIN THE STEPS!!!!
Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
Divide the shape into two smaller "known" shapes (Refer to image). Determine the area of those "known" shapes. Add the area of the known shapes to obtain the area of the figure.Determining the area of shape 1 (Rectangle 1):
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
Determining the area of shape 2 (Rectangle 2):
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
Determining the area of the figure:
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
Read more about Domain of Function at: https://brainly.com/question/10197594
#SPJ1
Two lines intersect and create four angles one angle is 70 degrees the angle x and y are both linear angle pairs with 70 degrees the angles x is a vertical angle to 70 degrees find the degrees of the angles x and y and z.
Answer:
The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
Step-by-step explanation:
If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:
70 degrees and its corresponding angle (also 70 degrees)
x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)
Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:
x = 70 degrees
y = 180 - x = 180 - 70 = 110 degrees
To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:
z + 70 + 70 + 110 = 360
z + 250 = 360
z = 110 degrees
Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
express 30.725 correct to one decimal place
Answer:
30.7
Step-by-step explanation:
30.725 to one decimal place is 30.7. To round/correct to one decimal place, it would be the tenths. So, look at the hundredths place number (2), and if its greater than 5, add 1 to the tenths place (7 changes to 8), and if its less than 5, don't do anything (7 stays as 7).
Hope this helps! :)
Answer:
The value corrected to one decimal place is 30.7
Step-by-step explanation:
The value 30.725 has three decimal places. The number 7 is in the one's place, the number 2 is in the tenth place, and the number 5 is in the hundredth place.
To round off, if the value in a place is equal to or above 5, the previous place number is increased by one; else it remains the same. In this case, the hundredth place is 5, so we add 1 to the tenth place. This gives us 2 + 1 = 3. Therefore, the number is expressed with two decimal places as 30.73.
To express it as one decimal place, we look at the value in the tenth place, which is 3. As 3 is less than 5, the one's place remains the same.
Thus, the value is 30.7 when expressed with one decimal place.
Learn more about decimal places,
https://brainly.com/question/20563248
5x - 4y = 6 slope intercept
Answer:
x-intercept(s):
( 6/ 5 , 0 )
y-intercept(s):
( 0 , − 3 /2 )
It is estimated that approximately 8.26% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3.5% of all adults over 40 without diabetes as having the disease. a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").
Answer:
0.032109
Step-by-step explanation:
From the given information
the estimate of those afflicted with diabetes = 0.0826
the estimate of those that are not afflicted with diabetes = 1 - 0.0826
= 0.9174
From adult with 40
Pr (correct diagnoses) = 0.945
Pr(incorrect diagnoses) = 0.035
The objective that the probability of a randomly selected adult which is over 40 and does not have diabetes, and is diagnosed as having diabetes (false positive) is = 0.9174 × 0.035
= 0.032109