Answer:
5/7
Step-by-step explanation:
:) hope this helps
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
#SPJ2
Find the equation of the line that would go through point (9,-1) and (-4.25,-1)
Given: The two points below
\(\begin{gathered} Point1:(9,-1) \\ Point2:(-4.25,-1) \end{gathered}\)To Determine: The equation of the line that passes through that points
Solution
The formula for finding the equation of a line that passes through two points is
\(\begin{gathered} Point1:(x_1,y_1) \\ Point2:(x_2,y_2) \\ Equation \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{gathered}\)Let us substitute the given into the formula
\(\begin{gathered} \frac{y--1}{x-9}=\frac{-1--1}{-4.25-9} \\ \frac{y+1}{x-9}=\frac{-1+1}{-13.25} \\ \frac{y+1}{x-9}=\frac{0}{-13.25} \\ \frac{y+1}{x-9}=0 \\ y+1=0 \\ y=-1 \end{gathered}\)Hence, the equation of the line is y = -1
y=4.5x + 15
y= 5x + 12.5
Answer:
x = 5
y = 37.5
We can graph the two equations to find our solution.
-> See attached
-> They intersect at point (5, 37.5) so this is our answer.
-> Coordinate points are in terms of (x, y)
A spoonful of cream is taken from a pitcher of cream and put into a cup of coffee. The coffee is stirred. Then a spoonful of this mixture is put into the pitcher of cream. Is there now more cream in the coffee cup or more coffee in the pitcher of cream
The amount of cream in the coffee cup and the amount of coffee in the pitcher of cream remain the same.
When a spoonful of cream is taken from the pitcher and put into the coffee cup, the amount of cream in the pitcher decreases and the amount of cream in the coffee cup increases.
However, when a spoonful of the mixture is put back into the pitcher, the amount of cream in the pitcher increases again and the amount of cream in the coffee cup decreases.
Since the amount of coffee in the pitcher and the cup remains constant throughout this process, there is no net increase or decrease in the amount of coffee or cream in either container.
for such more question on word problem
https://brainly.com/question/13818690
#SPJ11
If f(x)=−x^2+1, determine f′(2)
Error Analysis A garderer plans to extend the length of a rectangular garden by 4 feet. Let x
represent the garden's original length. The expression 8(x + 4) represents the area of the garden,
where 8 is the width, in feet, and (x + 4) represents the extended length, in feet, of the garden.
When asked for the area of the extended portion, the gardener incorrectly said it was 12 square
feet. Expand the expression to find the area of the extension. Then describe an error the gardener
might have made.
The correct Area of extended portion will be 28 square feet
A rectangle in the Euclidean plane is a quadrilateral with four right angles. Other names for it include a parallelogram with a right angle and an equiangular quadrilateral, where equiangular means that all of its angles are equal. Four equally long sides make to a square, which is a rectangle.
Area of original garden=length*breadth=4 × x=4x square feet
Area of extended garden=4 × 7=28 sq. feet
Total area (including the extended portion)=4x+28=
4(x+7) square feet
The mistake made by gardener is that he added 4+7=11 square feet
But correct area of extended portion= length*breadth=4 × 7=28 square feet.
Learn more about Area:
brainly.com/question/11952845
#SPJ4
please try to answer quickly my brainly app is crashing
The formula to calculate the lateral area of a cone is given by
\(LA=pi*r*l\)where
LA=10.5pi in2
r=2.1 in
l=? slant height
substitute given values
\(\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\ \\ l=5\text{ in} \end{gathered}\)The answer is 5 inches5/10= b/100 what is the answer to z
Answer:
B = 50
Step-by-step explanation:
\(\frac{5}{10} =\frac{b}{100}\) do butterfly multiplication
\(5*100=500\)
\(10*b=10b\)
\(\frac{10b}{10}=\frac{500}{10}\)
B = 50
Roman and his friends went out to dinner at a local restaurant. His bill was $56.70. He decides to leave an 18% tip for the server. How much will Roman's total be once he adds the tip?
a-$10.20
b-$66.91
c-$74.70
d-$102.60
Answer:
$66.91
Step-by-step explanation:
If you need to add 18% to the total of $56.70, then it's easier to multiply by 1.18 (118%).
$56.70 x 1.18 = $66.91
The population of Pinedale was 1,900 in 2000. The population increases by 4% each year. Write
exponential function that models this situation.
Enter your answer in the box.
To write an exponential function that models the situation, we can use the formula:
y = a(1 + r)^t
where:
y is the population after t years
a is the initial population (in 2000)
r is the annual growth rate (4% = 0.04)
t is the number of years since 2000
So, substituting the given values, we have:
y = 1900(1 + 0.04)^t
Simplifying the expression:
y = 1900(1.04)^t
Therefore, the exponential function that models this situation is:
f(t) = 1900(1.04)^t
where t represents the number of years since 2000 and f(t) represents the population after t years.
I need major help, I don't understand
Answer:
4, 10, 16, 22
Step-by-step explanation:
Plug in the variables according to the equation
So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like
A= 3(2)-2 which is A= 6-2 = 4
If we do the same for all of them then they would look like:
B= 3(4)-2
12-2= 10
C= 3(6)-2
18-2= 16
D= 3(8)-2
24-2=22
So youre basically replacing the f(x) and x by the table chart
I hope this helped :)
Which number is irrational?
8√
0.8¯
0.46
100√3
Answer:
I think √8
Step-by-step explanation:
an integer to the power of 2
n homeroom, 3 of the 16 girls have red hair and 2 of the 15 boys have red hair. what is the probability of selecting a boy or a red-haired person as homeroom representative to student council
To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).
There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.
There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.
However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.
Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.
So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.
Learn more about probability:
https://brainly.com/question/24756209
#SPJ11
Help me with expressions!
I really need help this is a starr revieww
Answer:
B, because dividing is the same thing as multiplying by the reciprocal
Step-by-step explanation:
2. Suppose A is a n x n matrix. Write a matlab code to find: (a) sum of diagonal elements (b) product of diagonal elements (c) Execute the sum and product when A= ones (5)
it displays the computed sum and product of the diagonal elements.
Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:
```matlab
% Define the matrix A
A = ones(5);
% Get the size of the matrix
[n, ~] = size(A);
% Initialize variables for sum and product
diagonal_sum = 0;
diagonal_product = 1;
% Calculate the sum and product of diagonal elements
for i = 1:n
diagonal_sum = diagonal_sum + A(i, i);
diagonal_product = diagonal_product * A(i, i);
end
% Display the results
disp("Sum of diagonal elements: " + diagonal_sum);
disp("Product of diagonal elements: " + diagonal_product);
```
Example execution for `A = ones(5)`:
```
Sum of diagonal elements: 5
Product of diagonal elements: 1
```
In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.
To know more about MATLAB related question visit:
https://brainly.com/question/30763780
#SPJ11
What Is 30332 Times 98663
Answer:
2,992,646,116
Step-by-step explanation:
I am big brain
Answer:
2992646116
Step-by-step explanation:
multiply starting with 98663
Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
how do i graph y=-2x - 3
Answer:
graph
Step-by-step explanation:
You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). (4 points) Group of answer choices y = −2x + 13 y = negative 1 over 2 x + 7 y = negative 1 over 2 x + 3 y = −2x − 3
The equation of a line parallel to line CD and passing through the point (4, 5) is y = -2x + 13. Option A
To find an equation of a line parallel to line CD and passing through the point (4, 5), we need to use the fact that parallel lines have the same slope. The given equation of line CD is y = -2x - 2, where the slope is -2.
Using the point-slope form of a linear equation, we can write the equation of the line parallel to CD:
y - y1 = m(x - x1)
where (x1, y1) is the given point (4, 5) and m is the slope.
Substituting the values, we have:
y - 5 = -2(x - 4)
Expanding and simplifying:
y - 5 = -2x + 8
Now, let's rearrange the equation to the slope-intercept form (y = mx + b):
y = -2x + 8 + 5
y = -2x + 13
Therefore, the equation of a line parallel to line CD and passing through the point (4, 5) is y = -2x + 13.
Among the given answer choices:
A) y = -2x + 13 - This is the correct equation of the line parallel to CD and passing through (4, 5).
B) y = negative 1 over - The expression is incomplete and does not form a valid equation.
C) 2x + 7y = negative 1 over - This equation does not have the same slope as line CD and is not parallel.
D) 2x + 3y = -2x - 3 - This equation does not have the same slope as line CD and is not parallel.
Option A
For more such equation visit:
https://brainly.com/question/17145398
#SPJ8
A school swim team has 36 swimmers. The ratio of seventh graders to eighth graders is 2 to 7. How many seventh grade swimmers are there? 9
An interior decorator wants to complete a sunroom with three types of plants: Kentia Palm plants, Schefflera plants, and Areca Palm plants. Each Kentia Palm plant costs $45, each Schefflera plant costs $35, and each Areca Palm plant costs $40. The decorator plans to buy 10 plants. Let k be the number of Kentia Palm plants and s be the number of Schefflera plants the decorator buys. In terms of k and s, how many Areca Palm plants does the decorator buy?
Answer:
Step-by-step explanation:
Kentia Palm plant = $45, Schefflera plant = $35
Areca Palm plant = $40
The decorator plans to buy 10 plants.
A.) Let k be the number of kentia palm plants and s be the number of schefflera plants the decorator buys. In terms of k and s, how many Areca Palm plants does the decorator buy?
k = number of kentia palm plants s = number of schefflera plants
Number of Areca Palm plants = total number of plants - (number of kentia palm plants + number of schefflera plants
= 10 - (k + s)
Number of Areca Palm plants, a = 10 - (k + s)
B.) write and simplify an expression in term of k and s for the total cost of the plants.
Total cost = 45k + 35s + 40a
Substitute a = 10 - (k + s)
Total cost = 45k + 35s + 40{10 - (k + s)
= 45k + 35s + 40(10 - k + s)
= 45k + 35s + 400 - 40k + 40s
= 5k + 75s + 400
Total cost = 5k + 75s + 400
C.) Of the 10 plants the decorator buys, 2 are kentia palm plants and 5 are schefflera plants. Use your expression from part (b) to find the total cost.
Total cost = 5k + 75s + 400
k = 2 and s = 5
= 5(2) + 75(5) + 400
= 10 + 375 + 400
= 785
Total cost = 785
HELP ME WITH BOTH QUESTIONS IM STUCK QUICK
Answer:
4. True 5. False
Step-by-step explanation:
> is greater than. When you read the equation you would read x is greater than y. (The alligator always eats the larger number) < is less then.
You do not combine like-terms on opposite sides of the equality.
What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?
Answer:
8962
Step-by-step explanation:
8×1+9...etc..etc
= 8962
Answer:
8.962
Step-by-step explanation:
If you invested $1,000 in Disney and $5,000 in Oracle and the two companies returned 15 percent and 18 percent respectively, what was your portfolio's return
The portfolio's return can be calculated by multiplying the weights of each investment by their respective returns and summing them up. However, without information on the weights of the investments, the portfolio's return cannot be determined accurately.
To calculate the portfolio's return, we need to know the weights of each investment, which represent the proportion of the total portfolio value allocated to each asset. Without this information, we cannot determine the exact portfolio return.
However, if we assume equal weights for simplicity, the average return of the portfolio can be estimated. In this case, the portfolio consists of $1,000 invested in Disney with a 15% return and $5,000 invested in Oracle with an 18% return.
Using equal weights, the estimated portfolio return can be calculated as follows:
Portfolio return = (Weight of Disney × Return of Disney) + (Weight of Oracle × Return of Oracle)
Assuming equal weights, the portfolio return would be:
(0.5 × 15%) + (0.5 × 18%) = 7.5% + 9% = 16.5%
Therefore, with equal weights, the estimated portfolio return would be 16.5%. However, please note that without accurate information on the weights of the investments, the exact portfolio return cannot be determined.
Learn more about Portfolio return here:
https://brainly.com/question/32133392
#SPJ11
What is the value of -20=-4x-6x
Answer:
x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
- 20 = - 4x - 6x , that is
- 20 = - 10x ( divide both sides by - 10 )
2 = x
Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)
The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.
1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.
2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.
For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.
3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.
For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.
4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.
For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.
5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.
For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.
6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.
The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.
To know more about abnormality, visit,
https://brainly.com/question/27999898
#SPJ4
Using the Equation, predict how much the Temperature change will be in 20 years since 2000.
Answer:
0.82° C
Step-by-step explanation:
To predict how much change the temperature will be in 20 years time since 2000, simply substitute x = 20 into the given equation, \( y = 0.52 + 0.015x \):
\( y = 0.52 + 0.015(20) \)
\( y = 0.52 + 0.3 \)
\( y = 0.82 \)
✅The temperature change would be 0.82° C.
find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. group of answer choices a. 0.025 b. 0.0125 c. 0.0375 d. 0.975
The area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom is 0.0125.
In statistics, the chi-square distribution is a continuous probability distribution that is widely used in inferential statistics. The area to the right of a certain value can be calculated using a chi-square table or a computer program. In this case, we want to find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. Using a chi-square calculator or a chi-square table, we can determine that this area is 0.0125. This means that there is a 1.25% chance of getting a chi-square value greater than 23.337 with 12 degrees of freedom. This type of calculation is often used in hypothesis testing and other statistical analyses.
Learn more about distribution here
https://brainly.com/question/29368683
#SPJ11
PLS HELP! find the area and round to the nearest tenth
Given:
A regular hexagon with side 11.5 units and apothem 10 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
\(A=\dfrac{1}{2}Pa\) ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.
\(P=6\times 11.5\)
\(P=69\)
Putting \(P=69,a=10\), we get
\(A=\dfrac{1}{2}(69)(10)\)
\(A=(69)(5)\)
\(A=345 \)
Therefore, the area of the regular polygon is 345.0 square units.
make x subject of m =n + x/p
Answer:
\(x = p(m-n)\)
Step-by-step explanation:
m = n + \(\frac{x}{p}\)
Subtracting n to both sides
=> m-n = \(\frac{x}{p}\)
Multiplying p to both sides
=> \(x = p(m-n)\)
Answer:
x=p(m-n)
Step-by-step explanation:
m =n + x/p
x/p=m-n
x=p(m-n)