The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
Find the equation of the circle in standard form for the given center (h,k) and radius r: (h,k)=(0,0), r=9
Answer: [tex]x^2+y^2=81[/tex]
Step-by-step explanation:
The equation of circle ( in general form ) is given by :_
[tex](x-h)^2+(y-k)^2=r^2[/tex]
, where r= radius of the circle .
(h,k) = center of the circle .
Given : Center = (h,k)= (0,0)
Radius = r = 9 units
Then the equation of the circle will be :-
[tex](x-0)^2+(y-0)^2=(9)^2[/tex]
[tex]\Rightarrow x^2+y^2=81[/tex]
Hence, the required equation of the circle = [tex]x^2+y^2=81[/tex]
Can you help me with this, please?
Write an equation for each sentence.
The sum of 4x and -3 is 8
An athlete trains for 115 min each day for as many days as possible. Write an equation that relates to the number of days (d) that the athlete spends training when the athlete trains for 690min.
Find an equation of the vertical line that passes through (x, y) = (14, 15).
Final answer:
The equation of the vertical line passing through the point (14, 15) is x = 14.
Explanation:
To find an equation of a vertical line that passes through the point (14, 15), we need to understand that a vertical line has an undefined slope and therefore cannot be represented by the slope-intercept form of a line, y = mx + b. Instead, vertical lines are represented by equations where x is equal to a constant value since every point on the vertical line will share the same x-coordinate. Thus, the equation of the vertical line passing through (x, y) = (14, 15) is simply x = 14.
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 3 h. Train B reaches station B after 214 h. Station A and Station B are 420 mi apart. What is the rate of the trains?
Answer:
he's wrong it's actually 80mph
Step-by-step explanation:
If y = 6x – 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
{(0, –4), (1, 2), (3, 14)}
{(5, 20), (2, 10), (–1, –3)}
{(–3, –15), (6, 25), (3, 5)}
{(4, 18), (0, 10), (0, –2)}
Please tell me where these marks are on these rulers.
In an election with exactly 2 candidates, 373 votes were cast. If the winner's margin of victory was 87 votes, how many did she receive?
SELECT ALL THAT APPLY.
Which of the following is true of an outlier?
An outlier is a false data point.
An outlier does not affect measures of central tendency.
An outlier is not near the main cluster of data.
An outlier is always the highest or lowest value in a data set.
An outlier is a data point that is significantly different from the other data points in a set. It may or may not affect measures of central tendency. Outliers are not always the highest or lowest values in a data set.
Explanation:An outlier is a data point that is significantly different from the other data points in a set. It can be either higher or lower than the other values.
Outliers may be errors or abnormal data, or they may provide valuable insights into the population under study.
An outlier does not necessarily mean that it is a false data point. It needs to be examined closely to determine if it should be included in the analysis or not.
An outlier may or may not affect measures of central tendency, such as the mean, median, and mode.
It depends on the specific data set and the impact of the outlier on these measures. It is not always the highest or lowest value in a data set, as it can be any data point that deviates significantly from the rest.
find values of x and y show your work
Please help me thank you.
Mr. haigwood is shopping for a school picnic . veggie burgers comes in packages of 15 and buns come in packages of 6. he wants to serve veggie burgers on buns and wants to have no items left over. Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90. Do you agree with his reasoning
Answer:
Mr. haigwood is not right.
Step-by-step explanation:
The veggie burgers comes in packages of 15 and buns come in packages of 6.
Mr. haigwood wants to serve veggie burgers on buns and wants to have no items left over.
Now, to find the least number of burgers and buns needed so nothing is left over, we will find the LCM of 15 and 6.
15 = 3 x 5
6 = 2 x 3
LCM = 2 x 3 x 5 = 30
As given, Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90.
This is not right. He needs to buy at least 30 of each item so that nothing is left over.
MATH QUESTION!!!!!!!!!
"3 miles; it represents the original distance of the bird from its nest."
what percent of 150 is 350
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
F = 9 over 5C + 32
Which of the following formulas correctly solves for C?
C = 5F - 32 over 9
C = 5 F over 9 - 32
C = 9 over 5(F – 32)
C = 5 over 9(F – 32)
Answer:
C = 5 over 9(F – 32)
Step-by-step explanation:
The formula is [tex]F=(\frac{9}{5}C)+32[/tex]
We can do some algebra to solve for C (note the steps below):
[tex]F=(\frac{9}{5}C)+32\\F=(\frac{9C}{5})+32\\F-32=\frac{9}{5}C\\C=\frac{F-32}{\frac{9}{5}}\\C=\frac{5}{9}(F-32)[/tex]
Last answer choice is right.
How can you tell when there are 1001 pickles under the bed worksheet?
To find the probability of getting a blue jelly bean, we use the equation P = B / Total. Substituting the given values, we find that the probability of getting a blue jelly bean is approximately 0.1733 or 17.33%.
Explanation:To solve the given problem, we can use the equation provided in the example: P = B / 26. Since we know that there are 26 blue jelly beans out of 150 total jelly beans, we can substitute these values into the equation to find the probability: P(B) = 26 / 150. Simplifying this fraction, we get P(B) = 13 / 75.
Therefore, the probability of getting a blue jelly bean is 13/75, or approximately 0.1733, which can be expressed as a percentage as 17.33%.
Y=x3, vertically stretch by a factor of 4. How would the final equation look like?
Vertically stretching the equation[tex]Y=x^3[/tex] by a factor of 4 results in the equation [tex]Y=4x^3[/tex]. This means that the value of the function increases four times for every x. Visually, the stretched function appears steeper along the y-axis.
Explanation:The equation represents[tex]Y=x^3[/tex] a cubic function. When you vertically stretch a function by a factor of 4, this means you multiply the output (Y-values) of the function by 4. Therefore, to vertically stretch Y=x3 by a factor of 4, you will multiply the entire function by 4. The final equation would look like [tex]Y=4x^3[/tex]
To clarify, the 'stretch' implies that for each x, the value of the function increases four times. This change can is noticeable graphically as the function will look 'steeper' or 'more stretched out' along the y-axis.
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About 13 out of 20 homes have a personal computeron a street of 60 homeshow many would have a personal computer
dfor every 20 houses 13 have computers
divide 60 by 20
60/20 = 3
multiply 3 by 13
3*13 = 39
39 houses have computers
The local bakery sells muffins in 6 packes.... they sell the muffins in this variety,,, 3 blueberry muffins. & 2 pumpkin muffin.& 1 bran muffin,,, write the ratio that expresses each relationship,,,, question 1 *: blueberry muffins to tatal muffins?
q2 : pumpkin muffins to total muffins?
Answer:
probably 3:6 and 2:6
Step-by-step explanation:
A recipe calls for 3/4 cup of flour. you have only 1/2 cup of flour. what fraction of the recipe can you make?
What is the probability of winning three games in a row, if the probability of winning each game individually is 1/2?
12x+18y=36 8x+12y=24 solve for through elimination
|j|=|2j+3| please help me
The value of j is -3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
j = (2j + 3)
Solve for j.
j = 2j + 3
Keep like terms on one side.
2j - j = -3
j = -3
Thus,
The value of j is -3.
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Let f(x) = 2x - 6 Solve f-1(x) when x = 2.
What are the common factors of 64 and 92?
Find the measure of an angle between 0° and 360° coterminal with an angle of -271° in standard position.
A. 89°
B. 271°
C. 181°
D. 91°
I'm not sure if it's B. or A. PLEASE show your work
An ice cream factory makes 170 quarts of ice cream in 2 hours. how many quarts could be made in 12 hours? what was that rate per day?
Vector u has its initial point at (14, -6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.
[tex]\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}[/tex]
The component form of vector u is (-18, 13) and its magnitude is approximately 22.2.
Explanation:The subject of this question is vector algebra, specifically finding the component form and magnitude of a vector. The component form of a vector is found by subtracting the coordinates of the initial point from the terminal point. Thus, the component form of vector u with initial point at (14, -6) and terminal point at (-4, 7) is (-4-14 , 7-(-6)) = (-18, 13).
To find the magnitude of a vector, you use the formula which is the square root of the sum of the squares of the components. So for vector u, the magnitude is found by calculating √((-18)² + 13²) = √ (324 + 169) = √493, which is approximately 22.2.
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Please show me the steps, I need to learn this:
Simplify: (5/3+i)
Does every number have two qualities
A 12 foot ladder is placed 4 feet away from a house as shown. What is the value of x, rounded to the nearest degree ?
x = 71 degrees. Yes, the ladder meets safety standards.
What is Hypotenuse?A hypotenuse is defined as the longest side of a right triangle, the side opposite the right angle where the length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of is the square of the lengths of the other two sides.
The equation is expressed as:
[tex]a^2 + b^2 = c^2[/tex]
a = side of right triangle
b = side of right triangle
c = hypotenuse
For above given information, the problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".
For this triangle,
cosx = (side adjacent to angle) / hypotenuse
= 4 /12= 1/3
x is approximately 70.52° which is 71° rounded to the nearest degree.
Thus, x = 71 degrees. Yes, the ladder meets safety standards.
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