Simplify.
1/4+4(1/2−3/4)^2
Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralf, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
A scientist had 3/ 5 liter of solution. He used 7/ 12 of the solution for an experiment.
How many liters of solution did the scientist use for the experiment
How many times can 57 go into 413?
what is an acrostic poem for the word triangle?
Final answer:
An acrostic poem for the word 'triangle' is a creative way to convey various attributes of the geometric shape or to create a poem with each line starting with the corresponding letter. The poem can be directly related to the properties of a triangle or more abstract.
Explanation:
An acrostic poem uses the first letter of each line to spell out a word vertically. For the word 'triangle', an acrostic poem might be a creative way to describe the characteristics of a triangle, or it could be abstract, using each letter to begin a line that doesn't necessarily relate to the shape but instead creates a coherent poem.
Here is an example of an acrostic poem for the word 'triangle':
Three sides enclosing space,
Reminder of structure and base,
In geometry, an essential grace,
Angles acute, obtuse, or right,
Nestled within, points of light,
Guiding principles of design,
Lines intersect by plan divine,
Eternally, three lines combine.
Remember, while writing an acrostic for 'triangle', you may also use the opportunity to incorporate into your poem mnemonics for the relationships between the sides and angles of a right triangle, such as 'SOHCAHTOA', or explore the figurative and metaphorical implications of the shape as referenced in literary examples or the sciences.
What is an equivalent decimal for 29/30?
60 minutes is 20% of ? minute s
HELP ASAP!!!
The markup on appliances at Tom’s store is 50%. If the wholesale price of a dishwasher is $380, what price will Tom list when selling the dishwasher?
A. $570
B. $665
C. $760
D. $950
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, AB and CD , which of these conditions needs to be met to prove that AB is perpendicular to CD?
see attachment for choices
Answer:
[tex]\frac{y_4-y_3}{x_4-x_3}\times \frac{y_2-y_1}{x_2-x_1}=-1[/tex]
Step-by-step explanation:
We know that,
If two line segments are perpendicular then the product of their slope is equal to -1,
Also, the slope of a line segment having the end points [tex](x_n,y_n)[/tex] and [tex](x_m,y_m)[/tex] is,
[tex]m=\frac{y_m-y_n}{x_m-x_n}[/tex]
So, the slope of line segment AB having end points [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex] is,
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}[/tex]
Similarly, the slope of line segment CD having end points [tex]C(x_3,y_3)[/tex] and [tex](x_4,y_4)[/tex] is,
[tex]m_2=\frac{y_4-y_3}{x_4-x_3}[/tex]
Hence, by the above property of perpendicular line segments ,
If AB and CD are perpendicular then,
[tex]m_1\times m_2=-1[/tex]
[tex]\implies \frac{y_4-y_3}{x_4-x_3}\times \frac{y_2-y_1}{x_2-x_1}=-1[/tex]
Third option is correct.
What is the area of a regular octagon with 12 as each side. Round to nearest hundredth.
a(x+b)=c solve for x
Write two (2) scenarios that describe two different real-world functions. Think of your own variables that are not included in the above list. As you did for the other functions, identify the independent and dependent variables and assign the letters x and y to represent each variable quantity. Then create a set of at least five ordered pairs in (x, y) form with values that make sense for your function.
the population of a bacteria culture doubles in number every 12 minutes. the ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the beginning of the hour is? ...?
Answer:
32
Step-by-step explanation:
Let X be the number of bacteria at the initial time.
At 12 minutes = 2 X
At 24 minutes = 4X
At 36 minutes = 8X
At 48 minutes = 16X
At 60 minutes = 32X
The ratio between the final and the initial instant will be: 32X / X = 32
For the function f(x)=x+5, what is the ordered pair for the point on the graph when x=4w?
Answer:
(4w, 4w + 5)
Step-by-step explanation:
Tomorrow, 567 people will want tickets to concert. only 417 tickets are available. how many people will be able to get tickets?
What is 830% written as a decimal?
8300
83
0.0083
8.3
8.3 i think
15 percent of 45.4 is what?
The only part of the United States explored by Russia was the:
A : Hudson River
B : Southwest and Mexico
C : Mississippi River
D : Northwest coastline
Answer:
d
Step-by-step explanation:
d
How to put 0.258 0.4 0.52 1.25 0,04 from least to greatest?
Which of the following represents the graph of f(x) = 2x + 2? i will give a medal if you help cooperatively
Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:
Group A (distance in miles)1 1.589.26.84.54.82.50.76
Group B (distance in miles)22.53.231.31.82.431.51.8
Which statement best compares the mean distances for the two groups?
A. It is equal for Group A and Group B.
B. It is greater for Group B than Group A.
C. Its value for group A is double the value for Group B.
D. Its value for group B is three times the value for Group A.
Which point satisfies the equation 2x+3y=8? A) (-1,3) B) (2,2) C) (-2,4) D) (1,4)
The point that satisfies the equation 2x+3y=8 is (1,4).
Explanation:To find the point that satisfies the equation 2x + 3y = 8, we can substitute the x and y values from each option into the equation and see which option makes the equation true.
Let's try option A, (-1,3): 2(-1) + 3(3) = -2 + 9 = 7, which is not equal to 8.
Continuing this process for options B, C, and D, we find that the point (1,4) satisfies the equation 2x + 3y = 8.
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125 + .375=?
0.654 + 0.389 - 0.293=?
What is the surface area of a piece of pipe that is open at both ends, has a radius of 6 inches, and a height of 18 inches? (Use 3.14 for π.)
the total amount of degrees in the center is 360 degrees if all five vertex angles meeting the center are congrent what is the measure of a base angle of one of the triangles
A) 54 degrees
B) 72 degrees
C) 108 degrees
D) 144 degrees
Answer:
(B) 72°
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x? a) h(x) = x + 4 b) h(x) = x – 4 c) h(x) = x d) h(x) = x witch is right
The sum of the perimeters or two different squares is 32 centimeters , and the difference between there perimeters is 8 centimeters. if x represents the side length of the larger square and y represents the side length of the smaller square , Which of the following systems of equations could be used to find the dimensions of the squares?
A. x+y=32
x-y=8
B. 4x+4y=32
4x-4y=8
C. 2x+2y=32
2y-2x=8
D. 2x+2y=32
4x-2y=8
The correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.
Explanation:To find the dimensions of the squares, we can set up a system of equations. Let x represent the side length of the larger square and y represent the side length of the smaller square.
The sum of the perimeters is given as x + y = 32. The difference between the perimeters is given as x - y = 8.
So, the correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.
The correct system of equations to find the dimensions of the squares is x + y = 32 and x - y = 8. Solving this system using the method of elimination gives us the dimensions of the squares: 20 cm for the larger square and 12 cm for the smaller square.
Explanation:The correct system of equations to find the dimensions of the squares is:
x + y = 32
x - y = 8
To solve this system, we can use the method of elimination. Adding the two equations will eliminate the y terms, allowing us to solve for x.
Adding the equations:
x + y + x - y = 32 + 8
2x = 40
x = 20
Substituting the value of x back into one of the original equations, we can solve for y.
Using the equation x + y = 32:
20 + y = 32
y = 12
Therefore, the dimensions of the larger square are 20 cm, and the dimensions of the smaller square are 12 cm.
The table shows the total number of hamburgers and hot dogs sold at a food stand at a local fair on two separate days. It also shows the dollar amount taken in each day.
Hamburgers Hot Dogs Total
Day 1 200 150 $1,450
Day 2 200 250 $1,750
What is the cost of a hamburger and the cost of a hot dog?
Enter your answers in the boxes.
Hamburger: $
Hot dog: $
The maximum speed of the Tupolev Tu -144 airliner is 694 m/s. What is this speed in kilometers per hour?
Answer: the correct answer would be 2498.4 km/h
*i got this question correct*
280 divided by 30 what is it
The division yields to quotient is 9, and there is 10 as remainder
We have to divide 280 by 30.
So, the division performed as
30 | 280 | 9
270
-______
10
So, the quotient is 9, and there is 10 as remainder.
So, 280 divided by 30 is equal to 9.33 (rounded to two decimal places) or simply 9.
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