Answers
Answer: 10
Step-by-step explanation: Because C is the mid-segment of DB, so it is split in half. So X is the same as the other half (10).
Answer:
8
Step-by-step explanation:
These triangles are similar triangles, so we can use ratios to solve
12 x
----- = --------
15 10
Using cross products
12*10 = 15x
120 = 15x
Divide by 15
120/15 =15x/15
8=x
Related Questions
i need help with this question
Answers
Answer:
11
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
m*n = √(m³ -n²)
5*2 = √(5³ -2²) = √(125 -4) = √121
5*2 = 11
what equations do you use to figure out the price for each one ?
Sally went to the grocery store and bought 3 lbs. of apples, 2 lbs. of oranges, and 7 lbs. of bananas for $21. At
the same store Kevin bought 2 lbs. of apples, 6 lbs. of oranges and 1 lb. of bananas for $29. Heather bought
1lb. of apples, 4 lbs. of oranges and 5 lbs. of bananas for $23. Write the system of equations to determine how
much a pound of apples costs, a pound of oranges costs and a pound of bananas costs?. Equation 1:
Equation 2:
Equation 3:
0
Answers
Answer:
3a + 2r + 7b = 21
2a + 6r + b = 29
a + 4r + 5b = 23
Step-by-step explanation:
a = price of apples
r = price of oranges (I used r instead of letter o since o can be confused with zero)
b = price of bananas
Sally went to the grocery store and bought 3 lbs. of apples, 2 lbs. of oranges, and 7 lbs. of bananas for $21.
3a + 2r + 7b = 21
Kevin bought 2 lbs. of apples, 6 lbs. of oranges and 1 lb. of bananas for $29.
2a + 6r + b = 29
Heather bought 1 lb. of apples, 4 lbs. of oranges and 5 lbs. of bananas for $23.
a + 4r + 5b = 23
The system of equations is:
3a + 2r + 7b = 21
2a + 6r + b = 29
a + 4r + 5b = 23
Select all ratios equivalent to 2:3.
14:6
10:12
12:18
Answers
Answer:
12 : 18
Step-by-step explanation:
because 2x6 =12
and 3x6 = 18
since other numbers cant be multiplied by the same number for both sides
Pete has 4 packs of gumballs. Each pack has 5 gumballs. If Pete gives the same number of gumballs to 6 friends, how many gumballs will each friend get?
Answers
Answer: Each friend will get 3 gumballs.
Step-by-step explanation:
Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.
Total gumballs he has = 4 x 5 = 20
Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6) gumballs
\(20\div 6=\dfrac{20}{6}=\dfrac{18+2}{6}=\dfrac{3\times6+2}{6}=3\dfrac26\)
So each friend will get 3 gumballs.
please help factorise 7ab+a
Answers
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
If 2^2x = 3, find 4^6x-5
Answers
Explanation: (the picture)
Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
Answers
Can anyone answer this?
Answers
Answer:
3/2
Step-by-step explanation:
Image a bit blurry, but I'm counting whoever wrote this was sane enough to pick integer values.
\(f(2) = 1; f(4)=4\)
Average rate of change is the difference in f divided by the difference in x:
\(\frac{\Delta f(x)}{\Delta x} = \frac{4-1}{4-2} = \frac32\)
A box in the shape of a rectangular prism is shown below. The box is completely filled with 432 identical cubes. The edge length of each cube is inch long. What is the volume of the box?
Answers
The volume of the box is 432 cubic inches
Calculating the volume of the box?From the question, we have the following parameters that can be used in our computation:
Completely filled with 432 identical cubes. Edge length of each cube is 1 inch long.The volume of the box is calculated as
Volume = Number of cubes * Volume of each cube
Where
Volume of each cube = 1 * 1 * 1
Volume of each cube = 1
Substitute the known values in the above equation, so, we have the following representation
Volume = 432 * 1
Evaluate
Volume = 432
Hence, the volume of the box is 432 cubic inches
Read more about volume at
https://brainly.com/question/463363
#SPJ1
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answers
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
Amanda applied the associative property to (1 + 5) + 9 = 15. Which of the following might she have used?
A) 1 + 5 + 3(2 + 1) = 15
B) 1 + (5 + 9) = 15
C) 5 + 1 + 9 = 15
D) 9 + 1 + 5 =15
Answers
Answer:
D
I'm not sure but
The 9 has to be in in front of the brackets in order to tell us which operation we are using. If 1+5 is in brackets, then it would be D because y pi know what you are adding (1+5) to.
If a person has the ability to access facility of company systems or applications, they have a right to view any information contained in that system or application
Answers
If a person has the ability to access the company's systems or applications, it does not imply an automatic right to view any information contained within them.
Access to company systems or applications is typically granted based on job responsibilities and the need to perform specific tasks. While authorized users may have access to certain information necessary for their roles, there are usually restrictions in place to protect sensitive or confidential data. Companies implement access controls and security measures to ensure that information is only accessible to individuals with appropriate permissions. The principle of least privilege is often followed, where users are granted access only to the information required for their job functions. An employee accessing information beyond their authorized scope can not only violate company policies but also breach privacy regulations and compromise data security. Therefore, while having access to company systems may provide certain privileges, it does not automatically grant the right to view all information contained within those systems or applications.
Learn more about applications here
https://brainly.com/question/30408882
#SPJ11
HELP PLEASE JUST THIS QUESTION/ ILL GIVE BRAINLIEST IF CORRECT
Answers
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!
The factorization of a trinomial is modeled with algebra tiles.
An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative.
Which trinomial is factored?
x2 + 3x – 6
x2 + 5x – 6
x2 + 3x – 2
x2 + x – 6
Answers
Answer:
A.) x + 3 and x + 2
Step-by-step explanation:
The trinomial which is factored as described is; x² + x - 6.
Trinomial factorisationAccording to the question;
Factor 1 spot: 1 is labeled + x, 2 are labeled negative.(x -1 -1)
Factor 2 spot: 1 is labeled + x and 4 are labeled +.x + 1 + 1 + 1
Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative.x²-2x +3x -6
Hence, the product of the factors is therefore;
x² + x - 6.From the description of the previous factors; the trinomial which is factored is; x² + x - 6.
Read more on trinomial factorisation;
https://brainly.com/question/25824273
find the value of x - 6y when x = -2 and y = -1/2
Answers
Answer:
1
Step-by-step explanation:
x - 6y
-2 - 6(-1/2)
-2 +3
1
Therefore, your answer would be 1
A teacher has a bag of marbles. there are 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles in the bag. as the students enter the classroom, they draw a marble and keep it. if the first student in the room draws a yellow, and the second draws a purple, what is the probability that the third student will draw a red or a blue?
Answers
The Probability that the third student will draw a red or blue marble is 20/44, which simplifies to 5/11 or approximately 0.45.
To find the probability that the third student will draw a red or a blue marble, we need to first calculate the total number of marbles remaining in the bag after the first two students draw theirs.
The first student draws a yellow marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 8 purple marbles in the bag.
The second student draws a purple marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 7 purple marbles in the bag.
Therefore, the total number of marbles remaining in the bag is 44.
Of those 44 marbles, there are 10 red and 10 blue marbles, for a total of 20 marbles that the third student could potentially draw.
You can learn more about Probability at: brainly.com/question/31828911
#SPJ11
can sombody helpp me with this question pls
Answers
Answer:
The answer is B.
Step-by-step explanation:
2. a) Explain, using diagrams, the Heaviside step function. Your explanation should include examples of the function shifted, scaled and summed.
b) Solve the following second order differential equation and initial conditions for the time range shown using the following method.
y" + y = u(t-2), y(0) = 0 and y'(0) = 2, 0 ≤ t ≤ [infinity]
i) The derivative property for Laplace transforms and
ii) The method of undetermined coefficients, note there will be 2 separate solutions.
Answers
A Heaviside step function, frequently known as a step function, is a mathematical function that gives 0 for negative input and 1 for non-negative input. This function is represented by the symbol H(x) or u(x) and is useful in various scientific fields.
The step function was introduced by Oliver Heaviside in the year 1894. The Heaviside step function can be modified, scaled, shifted, and summed with other functions. The first example of the Heaviside step function is H(x) = 0 for x < 0 and H(x) = 1 for x ≥ 0.
The second example of the Heaviside step function is H(x - 2) which is a step function shifted by two units in the negative x-direction. The third example of the Heaviside step function is H((x + 3)/5) which is a step function shifted by three units in the positive x-direction and scaled by a factor of 5.
b) Solve the following differential equation: y'' + y = u(t-2), y(0) = 0 and y'(0) = 2, 0 ≤ t ≤ [infinity]i) The derivative property for Laplace transforms:Initial conditions of the second order differential equation y'' + y = f(t) can be solved by using Laplace transforms. We take the Laplace transform of both sides of the equation:
L(y'' + y) = L(f(t)).
By using the derivative property of Laplace transforms, we can write it as follows:
\(L(y'') + L(y) = L(f(t))s^2Y(s) - sy(0) - y'(0) + Y(s) = F(s).\)
By substituting the given values of initial conditions and the given Heaviside step function, we obtain:
\(s^2Y(s) - 2 = \frac{1}{s}e^{-2s}.\)
Solving this expression for Y(s), we get:
\(Y(s) = \frac{1}{s^3}e^{-2s} + \frac{2}{s^2}e^{-2s}.\)
Applying the inverse Laplace transform to Y(s), we obtain the solution of the given differential equation:
y(t) = \left(\frac{1}{2}t^2 - t + 1\right)u(t-2) - \left(t-2\right)u(t-2) + \left(1-t+e^{2-t}\right)u(t).
ii) The method of undetermined coefficients:In this method, the general solution of the given differential equation is found by assuming the solution of the forced part of the differential equation. For u(t - 2) = 1, we have:y'' + y = 1, y(0) = 0, y'(0) = 2The characteristic equation of the differential equation is:
r^2 + 1 = 0.
Solving this expression for r, we get:r = ±iThe homogeneous solution of the given differential equation is:
y_h(t) = c_1cos(t) + c_2sin(t).
The particular solution of the given differential equation is taken as:
y_p(t) = A.
Differentiating this expression with respect to t, we get:.
y'_p(t) = 0
y''_p(t) = 0.
Substituting these expressions in the given differential equation, we get:
y''_p + y_p = 1
0 + A = 1
A = 1.
Therefore, the particular solution of the given differential equation is:
y_p(t) = 1.
The general solution of the given differential equation is:
y(t) = c_1cos(t) + c_2sin(t) + 1.
Using the initial condition y(0) = 0, we get:
c_1 = -1.
Using the initial condition y'(0) = 2, we get:
c_2 = 2.
Therefore, the solution of the given differential equation is:
y(t) = 2sin(t) - cos(t) + 1.
For u(t - 2) = 0, the solution is the homogeneous solution y(t) = c1cos(t) + c2sin(t).
The Heaviside step function is a useful function in mathematics and science fields, and it can be modified, scaled, shifted, and summed with other functions. The Laplace transform and method of undetermined coefficients are used to solve the initial conditions of the given second-order differential equation.
The derivative property of Laplace transforms is used to solve the initial conditions of the differential equation. The method of undetermined coefficients is used to solve the given differential equation by assuming the solution of the forced part of the differential equation.
To know more about differential equation :
brainly.com/question/32645495
#SPJ11
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Answers
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
Learn more about the five-number summary on:
https://brainly.com/question/24809873
Substitute (2, 1) into x + 3y = 5 to get ✔ 2 + 3(1) = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get ✔ 1 = –(2) + 3 . Simplify the equation to get .
Answers
Answer:
See explanation
Step-by-step explanation:
A
x + 3y = 5
(x, y) = (2,1)
x + 3y = 5
2 + 3(1) = 5
2 + 3 = 5
5 = 5
The equation is true
B.
y = –x + 3
(x, y) = (2, 1)
y = –x + 3
1 = -2 + 3
1 = 1
The equation is true
PLEASE HELP WILL MARK BRAINLIEST!!! A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.
1. Is function C a piecewise function? Explain your reasoning.
2. Draw a graph to represent C.
3. Describe, as completely as possible, the domain of C.
4. Describe, as completely as possible, the range of C.
Answers
The equation to describe this will be y = 8x. It is assumed that Pass holders pay $8 each movie for the first five films. After five films, up to fifteen films, additional films are free. This will be represented by the function y = 40.
What is meant by equation?When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.To learn more about equation, refer to:
https://brainly.com/question/22688504
#SPJ1
what does the perpendicular bisector of a line mean?
Answers
Answer:
A line segment perpendicular to and passing through the midpoint.
Step-by-step explanation:
Examples of Volume• Draw & label the radii and heights of three real world objects ( a cone, sphere and cylinder ) • Use formulas to solve for the volume of each
Answers
Cone
A sugar cone that is 2 inches in diameter and 5 inches tall
The volume is given by:
\(V=\frac{1}{3}\pi r^2h\)Substitute h = 5 in and r = d/2 = 2/2 = 1 in
\(V=\frac{1}{3}\pi(1)^2(5)=\frac{1}{3}\pi(1)(5)=\frac{5}{3}(3.14)=5.23\text{ in}^3\)Answer: volume is 5.23 in^3
Sphere
Soccer balls with a radius of 14cm
The volume of the sphere is:
\(V=\frac{4}{3}\pi r^3\)Where r = 14 cm
Substitute
\(V=\frac{4}{3}(3.14)(14)=58.61\text{ cm}^3\)Answer: Volume is 58.61 cm^3
Cylinder
A scented candle is in the shape of a cylinder, with a radius of 4cm and a height of 12cm.
And the volume is:
\(V=\pi r^2h\)Substitute the values h = 12 cm and r = 4 cm
\(V=(3.14)(4)^2(12)=602.88\text{ cm}^3\)Answer: de volume is 602.88 cm^3
What expression do you get when you simplify 6(2x + 4) – 2x + 15 – y?
Answers
Answer:
10x-y+39
Step-by-step explanation:
6(2x + 4) – 2x + 15 – y
12x+24-2x+15-y
12x-2x-y+24+15
12x-2x-y+39
10x-y+39
Two soccer balls are simultaneously kicked on parallel paths, from 15 feet apart on level ground. After 0.1 second, the balls are again 15 feet apart. 15 ft Must the two soccer balls have traveled the same distance in the first 0.1 second after they were kicked? If so, which theorem or definition can you use to show this? HELP QUICK WORTH 100 POINTS
Answers
Answer:
They do not have to always be 15 feet apart
Step-by-step explanation:
Becuase if they were kicked by different
people, then they might have different forces behind them and one could travel farther.
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not. A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0. Table B: Frequency of Foreign-Language Studies by Row A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Answers
Answer:
it's B
Step-by-step explanation:
Just took the test
Answer:
Its b
Step-by-step explanation:
graph f(x)=x^3+4x^2-5 by using a table of values. then determine the consecutive integral values of x between which each real zero is located
Answers
Answer:
Estimate the x-coordinates at which the relative maxima and minima occur. 16. f(x) = x3 + 4x2 ... 20. f(x) = x4 + 2x – 1. 20.x f(x). 247. Tì. 74. 121. -4-3-2-19. 1 2 3 4x. 11. -2. -1. 2. 19. 86.
Step-by-step explanation:
Estimate the x-coordinates at which the relative maxima and minima occur. 16. f(x) = x3 + 4x2 ... 20. f(x) = x4 + 2x – 1. 20.x f(x). 247. Tì. 74. 121. -4-3-2-19. 1 2 3 4x. 11. -2. -1. 2. 19. 86.
start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Answers
Answer:
33 square meters per hour
Step-by-step explanation:
f(2)= can someone let me know what the answer is
Answers
Answer:
-2
Step-by-step explanation:
f(2) is the value of the function when x = 2.
Look in the graph. When x = 2, the point on the graph has coordinates (2, -2).
f(2) = -2
1/7 x X =1
X x 1/11=1
1 divided by 1/5=
Answers
Answer:
x = 7x = 115Step-by-step explanation:
\( \frac{1}{7} \times x = 1\)
\(7 \times \frac{1}{7} x = 7 \times 1\)
\(7 \times \frac{1}{7} x = 7\)
\(\boxed{\green{x = 7}}\)
◇◇•◇◇
\(x \times \frac{1}{11} = 1\)
\( \frac{1}{11} x = 1\)
\(11 \times \frac{1}{11} x = 11 \times 1\)
\(11 \times \frac{1}{11} x = 11\)
\(\boxed{\green{x = 11}}\)
♤♤•♤♤
\(1 \div \frac{1}{5} = 1 \times \frac{5}{1} \)
\(1 \times 5\)
\( \boxed{\green{= 5}}\)