Answer:
A cone with a diameter of 18ft and a slant height of 30ft
Using Pythagorean theorem, the height is calculated by:
H = sqrt(18^2 - (30/2)^2) = 9.95
The surface area:
A = lateral surface area + base
A = pi x radius x slant height + pi x radius^2
A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)
The volume:
V = base x height x (1/3)
V = pi x radius^2 x height
V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)
Hope this helps!
:)
The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One value of X for which f(x)=2: B- f(2) =
To find the corresponding x where the function assumes a certain value, we draw a horizontal line on the desired function value. For f(x) = 2, we have:
The intercept between the horizontal line and our graph happens at (0, 2), therefore, we have:
\(f(x)=2\implies x=0\)To evaluate graphically a function, we check the corresponding value for the desired x value on the horizontal axis. For x = 2, we have:
Then
\(f(2)=1\)If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.
○A. True
○B. False
Answer:
B. False
Step-by-step explanation:
There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.
Answer:
true
Step-by-step explanation:
a pe c
how do i solve \(2x^{5} y -3x^{2} y
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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Rewrite the expression using radical notation.
\(14( \frac{2}{5} )\)
Name a ratio that is equivalent to 2:3
Answer:
4:6
Step-by-step explanation:
You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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please help i dont understand
Answer:
b = a - 18
Step-by-step explanation:
→ Subtract 18 from both sides
b = a - 18
Answer:
does B equal anything? otherwise it's b = a - 18 or -18a
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
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a numerical measure of linear association between two variables is the . a. z-score b. correlation coefficient c. variance d. standard deviation
The numerical measure of linear association is b. correlation coefficient.
What is the statistical term used to describe a quantifiable measure of the linear relationship between two variables?The correlation coefficient is a statistical measure that represents the degree of linear relationship between two variables. It takes values between -1 and 1, where -1 represents a perfect negative linear correlation, 0 represents no linear correlation, and 1 represents a perfect positive linear correlation.
A positive correlation means that when one variable increases, the other variable also tends to increase, while a negative correlation means that when one variable increases, the other variable tends to decrease.
The correlation coefficient is calculated using the formula:
\(r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]\)
where r is the correlation coefficient, n is the sample size, Σxy is the sum of the products of the corresponding values of x and y, Σx and Σy are the sums of x and y respectively, and Σx^2 and Σy^2 are the sums of the squares of x and y respectively.
In summary, the correlation coefficient is a measure of the strength and direction of the linear association between two variables.
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Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 4 m de ancho y 2.5 m de alto.
Answer:
50,000,000 centímetros cúbicos.
Step-by-step explanation:
En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:
Longitud = 5m
Ancho = 4 m
Altura = 2.5 m
Nos dijeron que encontraramos el volumen en centímetros cúbicos
Paso 1
Convierta todas estas dimensiones a centímetros
1m = 100cm
Por lo tanto:
Longitud = 5 m = 5 × 100 cm = 500 cm
Ancho = 4 m = 4 × 100 cm = 400 cm
Altura = 2.5 m = 2.5 × 100cm = 250cm
Paso 2
Fórmula para el volumen de un cubo = Largo × Ancho × Alto
Volumen = 500 cm × 400 cm × 250 cm
Volumen = 50,000,000 centímetros cúbicos.
Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.
Can someone please help me in math?
Answer:
yes
Step-by-step explanation:
What you don't know. which chapter is hard for you?
Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily or 7.5% compounded quarterly? Find the total amount of the investment after 10 years if $6,000 is invested at 7.44% compounded daily. $ (Round to the nearest cent as needed.) help me please im failing
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. AAS
B. ASA
C. HL
D. Not enough information
Answer:
Hypotenuse leg
Step-by-step explanation:
Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
Answer:
HL im sorry if im wrong
Step-by-step explanation:
please mark brainleast
Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.
For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
As given in the question,
To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:
Force = mass × acceleration
As object remain same ⇒ mass is constant as object remain same.
And there is change in the acceleration.
Acceleration depends change in velocity over total time taken.
Acceleration depends on velocity and time.
Net force also depends on velocity and time.
Two measurements need to know while conducting trail experiments are velocity and time.
Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
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Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
x is directly proportional to the cube of y
when x=32 y=0.4
find the value of y when x=256
Answer: 0.512
Step-by-step explanation:
256/32=8
8*(0.4)^3=
8*0.064=0.512
y=0.512
The value of y is 0.8 when x is 256.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
x is directly proportional to the cube of y.
Implies that,
x ∝ y³
Or x = k . y³ (1)
Here, k is a constant.
Substitute x = 32 and y = 0.4 in equation (1),
32 = k (0.4)³
32 = k (64/1000)
k = 1000/2
k = 500
To find the value of y when x = 256 and k = 500,
From equation (1)
256 = 500 y³
y³ = 256 / 500
y³ = 64/ 125
y = 4/5
y = 0.8
The required value of y is 0.8 when x = 256.
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Rate of Change
(6, -3)
(-2, 0)
Answer:
-8 and -3
Step-by-step explanation:
Suppose you're doing a hypothesis test where the level of significance is 0.05, and you get a P-value of 0.165. What would your decision be in Step 4?
Answer;
Reject the null hypothesis
Explanation;
Here, we are having a situation in which the level of significance is less than the p-value
In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis
Hence, simply put, we are going to reject the nulll hypothesis
which equation represents this statement?
-2 1/4 is the same as the sum of 4/5 times a number and -2
-2 1/4 = 4/5x + (-2)
-2 1/4 = 4/5 + (-2x)
-2 1/4 + 4/5 = -2x
- 2 1/4 + 4/5x = -2
Answer:
-2 1/4 = 4/5x + (-2)
explanation:
Because read it closely
Answer:
A.)-2 1/4 = 4/5x + (-2)
Step-by-step explanation:
I took the K12 test
Which of the following is a pair of equivalent radical expressions?
A. 45−−√
and 315−−√
B. 75−−√
and 35–√
C. 54−−√
and 96–√
D. 180−−−√
and 320−−√
The pair of equivalent radical expression is option D. √180 and 3√20.
What are Radicals?Radicals are defined as the nth root of a number using the symbol \(\sqrt[n]{x}\).
This is the opposite form of the exponential functions.
\(\sqrt[n]{x}\) can be written in the exponential form as \(x^{1/n\).
A.√45 can be written as the square root of (15 × 3).
√45 = √(15 × 3) ≠ 3√15
B. √75 cannot be written as 3√5, since, if we have to take 3 outside, inside he root there must be 3² = 9. But 75 is not a multiple of 9.
C. √54 = √(9 × 6) = 3√6 ≠ 9√6
D. √180 = √(9 × 20) = √9 × √20 = 3√20
Hence the correct option is D.
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The clear question is given below.
Which of the following is a pair of equivalent radical expressions?
A. √45 and 3√15
B. √ 75 and 3√5
C. √54 and 9√6
D. √180 and 3√20
The line plot represents the wait time in line for a ride at a local fair.
A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.
Which of the following best describes the shape of the data, and why?
The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.
The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.
The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
Here's the explanation:
From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.
The distribution is not symmetric, as the data points are not evenly spread around a central value.
The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.
Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.
However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.
The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.
It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.
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16. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant's
height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months
Time (months) Plant Height (cm)
15
25
35
45
a.
3
5
7
9
y-15-2(x-3)
b. y-15=5(x-3)
c. y-3=(x-15)
d. The relationship cannot be modeled.
An equation in point-slope form gives the plant's height at any time include the following: B. y - 15 = 5(x - 3).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (25 - 15)/(5 - 3)
Slope (m) = 10/2
Slope (m) = 5
At data point (3, 15) and a slope of 5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 15 = 5(x - 3)
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) a stick is broken into three pieces by picking two points independently and uniformly along the stick, and breaking the stick at those two points. what is the probability that the three pieces can be assembled into a triangle?
The probability that the three pieces can be assembled into a triangle is 25%
Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square,
Thus, the probability that the three pieces can be assembled into a triangle is 25%
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Can somebody plz help me answer this question plz!
Answer:
\(y=-x+9\)
Step-by-step explanation:
This is asking you to write the equation in slope-intercept form:
\(y=mx+b\)
where:
m is the slopeb is the y-interceptx and y are any corresponding coordinate points (x,y)You need to find the slope of the two given points using:
\((x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope\)
Insert the values:
\((4_{x_{1}},5_{y_{1}})\\\\(-6_{x_{2}},15_{y_{2}})\\\\\frac{15-5}{-6-4} =\frac{10}{-10} =-\frac{10}{10} =-1\)
The slope of the given line is -1. Insert this value into the equation:
\(y=-1x+b\\\\y=-x+b\)
Now insert one of the given coordinate points as x and y to solve for b:
\((4_{x},5_{y})\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b\)
The y-intercept is 9. Insert the value:
\(y=-x+9\)
:Done
what is the answer to factorise 10x - 15
Answer:
5(2x-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
10x-15 = 5(2x-3) ...the factor is : 5
The question is in the image. The final answer is also in the other image.
We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.
So, length of the safety rail is given by:
\(l=\frac{1}{4}\cdot2\pi r\)Where:
r = 10 yd
pi = 3.14
Substitute, we have:
\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)The Answer is 15.7 yd
Next, area of the deck is given by:
\(A=\frac{1}{4}\pi r^2\)Substitute the values:
\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)The answer is 78.5 yd^2
531
x 47
Long multiplication :) please help
The measures of the angles of a triangle are shown in the figure below. Solve for x.
хо
870
570
Answer:
Step-by-step explanation:
we know that the sum of the angles in a triangle=180
87+57+x=180
144+x=180
x=180-144=36
x=36
Given the graphed function below, which of the following ordered pairs are found on the inverse function?
It's (8,-2), (5,-1), (2,0), (-1,1), (-4,2). Just took it and suffered the fate of the wrong answer.
Answer:
C
Step-by-step explanation: