Answer:
14x^8-18x^3+43x^2+24x-15
3. What are the coordinates of the
centroid of a triangle with vertices at
Q (1,0), R (-10,-6), and S (0, -6)?
Answer:
coordinates for the centroid is at (-3, -4)
Step-by-step explanation:
The centroid of a triangle is simply defined as the center point which is equidistant from the three vertices.
Let's denote the centroid as O. Thus, the coordinates of O will be: (O_x, O_y).
Now, the formula to calculate the centroid of a triangle with coordinates (O_x, O_y) is given by;
For x - coordinate;
O_x = (A_x + B_x + C_x)/3
For y - coordinate;
O_y = (A_y + B_y + C_y)/3
From the question,
A_x = 1
B_x = -10
C_x = 0
A_y = 0
B_y = -6
C_y = -6
Thus;
O_x = (1 - 10 + 0)/3
O_x = -9/3
O_x = -3
Also,
O_y = (0 - 6 - 6)/3
O_y = - 12/3
O_y = - 4
Thus, coordinates for the centroid is at (-3, -4)
ANALYZING RELATIONSHIPS Data from North
American countries show a positive correlation
between the number of personal computers per capita
and the average life expectancy in the country.
a. Docs a positive correlation make sense in this
situation? Explain
b. Is it reasonable to
conclude that
giving residents
of a country
personal computers
will lengthen their
lives? Explain
Answer:
Can u add more context pls then I'll answer
Step-by-step explanation:
- For any nonquadrantal angle 0, sin 0 and csc 0 will have the same sign explain why
Answer:
Because sin 0 and csc 0 establish a relationship where one is reciprocated to the other.
Step-by-step explanation:
Sin 0 is found according to the mathematical expression Sin 0 = y / r.
The csc 0, in turn, is found through the mathematical expression Csc 0 = 1 / sin 0, which is equivalent to y / r.
In both expressions the letter "r" will always be represented by a positive value. This makes Csc 0 and sin 0 have a strong reciprocity and assume the same sign, regardless of the number that represents the "Y". This is because if "y" has a positive value, both sin 0 and csc 0 will have a positive sign, if "Y" will take a negative value, both sin 0 and csc 0 will take negative signs.
Negative -5/8 - 1/2=
I wanna know fast anyone??
Answer" -9/8
by-step explanation:
-5/8 - 1/2 = -9/8
Simplify: -9/8= 1 1/8
Which one best models line l?
ans : A
reason : gradient = 0 and the line does not touch Y axis
i hope this helps :))
The equation of line l if the line is shifted 4 units to the right is x = 4, so option A is correct.
What is line?A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.
Given:
The lines y and l are given in the graph,
The equation of the line y can be written as shown below,
y = x + c
x = c (as the y coordinate of the y-axis is zero)
The equation of the line shifted 4 units to the right can be represented as
y = mx + c
Here, the slope is 1 and the intercept is -4 so,
x = 4
Thus, the line l is x = 4.
To know more about the line:
https://brainly.com/question/2696693
#SPJ2
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}
оооо
О{x | x = -5, -4, -2, 0, 2}
{y | y = -9, -3, 0, 5, 7}
{x | x = -9, -5, -4, —3, -2, 0, 2, 5, 7}
О{y | y = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Answer:
Step-by-step explanation:
the range of the given function is:
{0, -3, -9, 5, 7}= y
answer is B
At the beginning of spring Madeline planted a small sunflower in her backyard. When it was first planted the sunflower was 10 inches. The sunflower began to grow at a rate of 1 inch per week. How tall would sunflower be after 9 weeks? How tall would the sunflower be after w weeks?
Answer:
Height after 9 weeks=19
Height after w weeks=1w+10
Step-by-step explanation:
Height after 9 weeks: 1(9)+10=19
Height after w weeks: 1w+10
Dependent and independent variables The following research studies consist of two or more groups of scores being compared. For each, decide whether the study is experimental or nonexperimental, and then identify the dependent, independent, or quasi-independent variables. Fourth-grade classrooms in several elementary schools are randomly assigned to different antibullying training programs at the beginning of the school year. The school district keeps track of the number of incidents of bullying in each classroom This study is an example of study The type of training program is the variable. The number of incidents of bullying is the variable. Researchers at a school of public health conducted a study to test the effect of organic produce on cancer mortality The 400 patients with prostate cancer who volunteered for the study were randomly assigned to a diet of either organic or length of time each patient survived I produce. The progression of their cancer was monitored, and researchers documented the This study is an example of:_______ study The survival time is the _______ variable. The type of diet is the _______ variable.
Answer:
- This study is an example of Experimental study
- The survival time is the dependent variable.
- The type of diet is the independent variable.
Step-by-step explanation:
I) This research study is an experimental study because it makes use of a scientific approach using 2 variables which in this case are organic diet and survival time.
II) Survival time is the dependent variable because it depends on the response of the patients to the organic diet.
III) Type of diet is the independent variable because it doesn't depend on any other factor or variable.
Given the sample mean = 21.15, sample standard deviation = 4.7152, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level.Identify the correct alternative hypothesis:p=21.21p=21.21μ>21.21μ>21.21μ=21.21μ=21.21μ<21.21μ<21.21p<21.21p<21.21p>21.21p>21.21
Answer:
Null hypothesis:
[tex]\mathtt{H_o : \mu = 21.21}[/tex]
Alternative hypothesis
[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]
t = -0.080
Decision Rule: To reject the null hypothesis if t > 1.340 at t
Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10
Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
Step-by-step explanation:
Given that:
the sample mean [tex]\overline x[/tex] = 21.15
the standard deviation [tex]\sigma[/tex] = 4.7512
sample size N = 40
The objective is to test the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
At the level of significance of 0.1
The null hypothesis and the alternative hypothesis for this study can be computed as follows:
Null hypothesis:
[tex]\mathtt{H_o : \mu = 21.21}[/tex]
Alternative hypothesis
[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]
This test signifies a one-tailed test since the alternative is greater than or equal to 21.21
The t-test statistics can be computed by using the formula:
[tex]t= \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{21.15- 21.21 }{\dfrac{4.7152}{\sqrt{40}}}[/tex]
[tex]t = \dfrac{-0.06 }{\dfrac{4.7152}{6.3246}}[/tex]
t = -0.080
degree of freedom = n - 1
degree of freedom = 40 - 1
degree of freedom = 39
From the t statistical tables,
at the level of significance ∝ = 0.1 and degree of freedom df = 39, the critical value of [tex]\mathtt{{T_{39,0.10} = 1.304}}[/tex]
Decision Rule: To reject the null hypothesis if t > 1.340 at t
Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10
Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
Find the difference ( 9/4x+6) − (− 5/4x−24)=
Answer:
[tex]=\frac{7}{2}x+30[/tex]
Step-by-step explanation:
So we have the equation:
[tex](\frac{9}{4}x+6)-(-\frac{5}{4}x-24})[/tex]
First, distribute the negative on the right:
[tex]=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})[/tex]
Combine like terms:
[tex]=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)[/tex]
Add:
[tex]=\frac{14}{4}x+30[/tex]
We can reduce our fraction by dividing both layers by 2. Thus:
[tex]=\frac{7}{2}x+30[/tex]
So this would be our answer :)
Simplifying the fraction 30/81
Answer:
10/27
Step-by-step explanation:
First of all, to simplify a fraction, you have to find a common factor for each of the numbers. First, we know that 30 and 81 can be divided by 3, which will result in the number 10 and 27. Since 10/27 don't have any common factors, you cannot simplify it further.
Let X be a random variable with CDF given byFX(t) =0 for t < 1,1 /2 for ?1 t < 11/ 2 t for 1 t < 21 for t 2Calculate E[X]
Answer:
[tex]\mathbf{E(X) = \dfrac{3}{4}}[/tex]
Step-by-step explanation:
From the given data, the cumulative distribution function of a random variable can be represented as:
[tex]F_X(t) =\left\{ \begin{array}{c}0........... t <-1 \\ \dfrac{1}{2} ... -1 \leq t < 1\\ \dfrac{1}{2} ....... 1 \leq t < 2 \\ 1 .............. t \geq 2\\\end{array}\right.[/tex]
The objective is to estimate E(X), to do that, let's first evaluate the probability density function by differentiating the cumulative distribution function from above.
[tex]f_X(x) =\left \{ {{\dfrac{1}{2} .......1 \leq x \leq 2 } \atop {0..... otherwise }} \right.[/tex]
∴
[tex]f_X(t) =\left\{ \begin{array}{c} \dfrac{d}{dx}(0)=0........... <-1 \\ \dfrac{d}{dx}(\dfrac{1}{2} ) =0... -1 \leq t < 1\\ \dfrac{d}{dx}(\dfrac{1}{2}x) = \dfrac{1}{2}....... 1 \leq x < 2 \\ \dfrac{d}{dx}(1) = 0 .............. x \geq 2\\\end{array}\right.[/tex]
The expected value of x i
.e E(X) can now be estimated by taking the integral:
[tex]E(X) = \int ^{\infty}_{\infty} x f(x) \ dx[/tex]
[tex]E(X) = \int ^{1}_{- \infty} x 0 dx + \int^2_1 \ x \dfrac{1}{2}\ dx + \int ^{\infty}_2 \ x0dx[/tex]
[tex]E(X) = \int ^{2}_{1} x \dfrac{1}{2} dx[/tex]
[tex]E(X) = \dfrac{1}{2}[\dfrac{x^2}{2}]^2_1[/tex]
[tex]E(X) = \dfrac{1}{2}[\dfrac{4}{2}-\dfrac{1}{2}][/tex]
[tex]E(X) = \dfrac{1}{2} \times [\dfrac{3}{2}][/tex]
[tex]\mathbf{E(X) = \dfrac{3}{4}}[/tex]
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to rent the hall based on the number of people, p, that would attend the event. If the hall can hold a total of 50 people, what is the domain and range for this function?
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
9 200 711 round to the neasrt ten
Step-by-step explanation:
92007(1)1
since one is on the tens value, always jump to the next number.
It is greater than 5 add one to the next no.
= 9201000, The rest become zeros
Three dozen cookies require 4 cup of flour. How many dozens of cookies can be made with 16 cups of flour
Answer:
4 dozen
Step-by-step explanation:
4 cups flour = 12 cookies [1 dozen=12]
1 cup of flour= 12/4 cookies
=3 cookies
now,
16 cups of flour= 3*16 cookies
=48 cookies
= 4 dozens [48/12=4 dozen]
therefore, 4 dozen cookies can be made with 16 cups of flour
Answer: 144
Step-by-step explanation:
Looking at the image, What is the value of x?
Answer: 98
Step-by-step explanation: 53+45 = 98 subtract that from 180 you get 82 which is the other corner. the other side of the line adds up to 180 with the 82
Answer:
Step-by-step explanation:
inside the triangle
a + 53 + 45 = 180
a + 98 = 180
a = 82
x + 82 = 180
x = 98
The area of the base is 1·/4ft^2 . What is the volume of the cube?
Answer:
1/8 ft^3
Step-by-step explanation:
The cube has equal sides. So u square root the base area and u get 1/2 ft. The length, width and height are all 1/2. So u cube the 1/2. Your final answer would be 1/8 ft^3.
V = 1/8 ft³
Step-by-step explanation:Area of the base = 1/4 ft² = l²
l² = 1/(2)² ft²
l = 1/2 ft
V = l³
= (1/2 ft)³
= 1/2³ ft³
= 1/8 ft³
The graph of a function contains the points (3,5) , (4,6), (7,8) and (x,y) . Witch of the following could be (x,y)? (4,9) (7,9) (3,9) (2,9)
Answer:
(2,9)
Step-by-step explanation:
The only point that could be included is (2, 9), since any of the other three would preclude the relationship between x and y values from being a function. Notice that 3, 4, and 7 are already connected/associated with other values in the Range of the function.
If 3,a,b,c,37 in an arithmetic sequence,what are the values of a,b, and c?
Answer:
11.5, 20, 28.5
Step-by-step explanation:
Given AP
3,a,b,c,375th term is 37, then common difference is;
37 = 3 + 4d ⇒ d = 34/4 = 8.5Then the 2nd, 3rd and 4th terms:
a = 3+ 8.5 = 11.5b = a + 8.5 = 11.5 + 8.5 = 20c = b + 8.5 = 20 + 8.5 = 28.5Which is the standard form of the equation 8n + 4 = -2n + 9 ? *
on 8(x - 2) + 3 = -61?
Answer:
Hey there!
8(x-2)+3=-61
8(x-2)=-64
x-2=-8
x=-6
Let me know if this helps :)
Answer:
X=-6
Step-by-step explanation:
8(x - 2) + 3 = -61
8X-16+3=-61
8X-13=-61
8X=-61+13
8X=48
X=[tex]\frac{48}{8}[/tex]
X=-6
HAVE A NICE DAY £$
It costs $204.00 to buy beef to make 180 burgers. What will the cost be to make 80 burgers?
Answer:
It would cost $90.66
Step-by-step explanation:
because 180 dived by 204 equals 1.13 then times that by 80 and there's your answer
Each plastic bottle holds 5.1 ounces of water. How much water can 6 plastic bottles hold? ounces
Answer:
30.6 ounces of water
Step-by-step explanation:
Since on bottle holds 5.1 ounces, in order to find the amount of water in 6, you must take 5.1 and multiply it by 6 which gives you your final answer of 30.6 ounces. Hope this helps!
Parallel Lines /\/\/\
Answer:
its also again 40
Step-by-step explanation:
its L angle
Answer:
40°
Step-by-step explanation:
∠1 and ∠2 are corresponding angles. Corresponding angles have the same measurement. This means that:
m∠1 = m∠2
Therefore, the measure of ∠2 would be the same as the measure of ∠1.
m∠2 = 40°
Hope this helps.
What is the image point of
(9,−2) after a translation left 2 units and down 1 unit? I need help
Answer:
Hey there!
Left 2 units: (7,-2)
Down 1 unit: (7, -3)
Final answer: (7, -3)
Let me know if this helps :)
ILL GIVE YOU BRAINLIST !!!
The cupcake recipe calls for 2 2/3 cups of flours, but Ashley only wants to make half of the batch of cupcakes.
How much flour will she need?
Answer:
1 1/3
Step-by-step explanation:
if ashley wants to make HALF of the batch you simply divided 2 2/3 by 2 :)
Answer:
1 1/3 cups
Step-by-step explanation:
If it takes 2 2/3 cups for a whole batch and Ashely only wants half a batch you would have to multiply 2 2/3 by 1/2.
2 2/3 x 1/2= 1 1/3
I WILL MARK YOU BRAINLIEST Juvi is baking chocolate chip cookies today! To make 4 batches of chocolate chip cookies, Juvi needs 45 of a cup of sugar. Her sister Evi wants to make 8 batches of chocolate chip cookies. How much sugar does Evi need to make 8 batches of chocolate chip cookies?*
Answer:
90 cups
Step-by-step explanation:
First, let's calculate how much cups of sugar we need for 1 batch of chocolate chip.
45 / 4 = 11.25
So, now we know that we need 11.25 cups of sugar to make 1 batch of chocolate chip.
Therefore, we know we need 90 cups of sugar for 8 batches because
11.25 * 8 = 90
Hope this helps ^^
Please help :) what is the area of the triangle
Answer:
30 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
The base is on the left b = 10
The height is perpendicular to the base = 6
A = 1/2 * 10 * 6
= 30 units ^2
A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
Answer:
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Answer:
the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Step-by-step explanation:
on edg 2020 :)
It is 4:15 now.What time was it six hours ago?